TSTP Solution File: ALG024+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 15:33:48 EDT 2022
% Result : Unsatisfiable 19.02s 5.20s
% Output : Proof 40.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 23:23:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.58/0.59 ____ _
% 0.58/0.59 ___ / __ \_____(_)___ ________ __________
% 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.59
% 0.58/0.59 A Theorem Prover for First-Order Logic
% 0.58/0.59 (ePrincess v.1.0)
% 0.58/0.59
% 0.58/0.59 (c) Philipp Rümmer, 2009-2015
% 0.58/0.59 (c) Peter Backeman, 2014-2015
% 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.59 Bug reports to peter@backeman.se
% 0.58/0.59
% 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.59
% 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.12/1.07 Prover 0: Preprocessing ...
% 3.28/1.39 Prover 0: Constructing countermodel ...
% 19.02/5.19 Prover 0: proved (4555ms)
% 19.02/5.20
% 19.02/5.20 No countermodel exists, formula is valid
% 19.02/5.20 % SZS status Unsatisfiable for theBenchmark
% 19.02/5.20
% 19.02/5.20 Generating proof ... found it (size 9519)
% 35.89/10.15
% 35.89/10.15 % SZS output start Proof for theBenchmark
% 35.89/10.15 Assumed formulas after preprocessing and simplification:
% 35.89/10.15 | (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] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ( ~ (v83 = v82) & ~ (v83 = v81) & ~ (v83 = v80) & ~ (v82 = v81) & ~ (v82 = v80) & ~ (v81 = v80) & ~ (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) & inv(v83) = e3 & inv(v82) = e2 & inv(v81) = e1 & inv(v80) = e0 & inv(unit) = unit & inv(e3) = v83 & inv(e2) = v82 & inv(e1) = v81 & inv(e0) = v80 & op(v83, e3) = unit & op(v82, e2) = unit & op(v81, e1) = unit & op(v80, e0) = unit & op(v79, e3) = v85 & op(v58, e2) = v84 & op(v37, e1) = v86 & op(v16, e0) = v87 & op(v15, e3) = v79 & op(v15, e2) = v78 & op(v15, e1) = v77 & op(v15, e0) = v76 & op(v14, e3) = v75 & op(v14, e2) = v74 & op(v14, e1) = v73 & op(v14, e0) = v72 & op(v13, e3) = v71 & op(v13, e2) = v70 & op(v13, e1) = v69 & op(v13, e0) = v68 & op(v12, e3) = v67 & op(v12, e2) = v66 & op(v12, e1) = v65 & op(v12, e0) = v64 & op(v11, e3) = v63 & op(v11, e2) = v62 & op(v11, e1) = v61 & op(v11, e0) = v60 & op(v10, e3) = v59 & op(v10, e2) = v58 & op(v10, e1) = v57 & op(v10, e0) = v56 & op(v9, e3) = v55 & op(v9, e2) = v54 & op(v9, e1) = v53 & op(v9, e0) = v52 & op(v8, e3) = v51 & op(v8, e2) = v50 & op(v8, e1) = v49 & op(v8, e0) = v48 & op(v7, e3) = v47 & op(v7, e2) = v46 & op(v7, e1) = v45 & op(v7, e0) = v44 & op(v6, e3) = v43 & op(v6, e2) = v42 & op(v6, e1) = v41 & op(v6, e0) = v40 & op(v5, e3) = v39 & op(v5, e2) = v38 & op(v5, e1) = v37 & op(v5, e0) = v36 & op(v4, e3) = v35 & op(v4, e2) = v34 & op(v4, e1) = v33 & op(v4, e0) = v32 & op(v3, e3) = v31 & op(v3, e2) = v30 & op(v3, e1) = v29 & op(v3, e0) = v28 & op(v2, e3) = v27 & op(v2, e2) = v26 & op(v2, e1) = v25 & op(v2, e0) = v24 & op(v1, e3) = v23 & op(v1, e2) = v22 & op(v1, e1) = v21 & op(v1, e0) = v20 & op(v0, e3) = v19 & op(v0, e2) = v18 & op(v0, e1) = v17 & op(v0, e0) = v16 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e3, v83) = unit & op(e3, v15) = v79 & op(e3, v14) = v78 & op(e3, v13) = v77 & op(e3, v12) = v76 & op(e3, v11) = v75 & op(e3, v10) = v74 & op(e3, v9) = v73 & op(e3, v8) = v72 & op(e3, v7) = v71 & op(e3, v6) = v70 & op(e3, v5) = v69 & op(e3, v4) = v68 & op(e3, v3) = v67 & op(e3, v2) = v66 & op(e3, v1) = v65 & op(e3, v0) = v64 & op(e3, unit) = e3 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, v82) = unit & op(e2, v15) = v63 & op(e2, v14) = v62 & op(e2, v13) = v61 & op(e2, v12) = v60 & op(e2, v11) = v59 & op(e2, v10) = v58 & op(e2, v9) = v57 & op(e2, v8) = v56 & op(e2, v7) = v55 & op(e2, v6) = v54 & op(e2, v5) = v53 & op(e2, v4) = v52 & op(e2, v3) = v51 & op(e2, v2) = v50 & op(e2, v1) = v49 & op(e2, v0) = v48 & op(e2, unit) = e2 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, v81) = unit & op(e1, v15) = v47 & op(e1, v14) = v46 & op(e1, v13) = v45 & op(e1, v12) = v44 & op(e1, v11) = v43 & op(e1, v10) = v42 & op(e1, v9) = v41 & op(e1, v8) = v40 & op(e1, v7) = v39 & op(e1, v6) = v38 & op(e1, v5) = v37 & op(e1, v4) = v36 & op(e1, v3) = v35 & op(e1, v2) = v34 & op(e1, v1) = v33 & op(e1, v0) = v32 & op(e1, unit) = e1 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, v80) = unit & op(e0, v15) = v31 & op(e0, v14) = v30 & op(e0, v13) = v29 & op(e0, v12) = v28 & op(e0, v11) = v27 & op(e0, v10) = v26 & op(e0, v9) = v25 & op(e0, v8) = v24 & op(e0, v7) = v23 & op(e0, v6) = v22 & op(e0, v5) = v21 & op(e0, v4) = v20 & op(e0, v3) = v19 & op(e0, v2) = v18 & op(e0, v1) = v17 & op(e0, v0) = v16 & op(e0, unit) = e0 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v88] : ! [v89] : ! [v90] : ! [v91] : (v89 = v88 | ~ (op(v91, v90) = v89) | ~ (op(v91, v90) = v88)) & ! [v88] : ! [v89] : ! [v90] : (v89 = v88 | ~ (inv(v90) = v89) | ~ (inv(v90) = v88)) & ( ~ (v87 = e3) | ~ (v16 = e2) | ~ (v0 = e1)) & ( ~ (v87 = e3) | ~ (v16 = e1) | ~ (v0 = e2)) & ( ~ (v87 = e2) | ~ (v16 = e3) | ~ (v0 = e1)) & ( ~ (v87 = e2) | ~ (v16 = e1) | ~ (v0 = e3)) & ( ~ (v87 = e1) | ~ (v16 = e3) | ~ (v0 = e2)) & ( ~ (v87 = e1) | ~ (v16 = e2) | ~ (v0 = e3)) & ( ~ (v86 = e3) | ~ (v37 = e2) | ~ (v5 = e0)) & ( ~ (v86 = e3) | ~ (v37 = e0) | ~ (v5 = e2)) & ( ~ (v86 = e2) | ~ (v37 = e3) | ~ (v5 = e0)) & ( ~ (v86 = e2) | ~ (v37 = e0) | ~ (v5 = e3)) & ( ~ (v86 = e0) | ~ (v37 = e3) | ~ (v5 = e2)) & ( ~ (v86 = e0) | ~ (v37 = e2) | ~ (v5 = e3)) & ( ~ (v85 = e2) | ~ (v79 = e1) | ~ (v15 = e0)) & ( ~ (v85 = e2) | ~ (v79 = e0) | ~ (v15 = e1)) & ( ~ (v85 = e1) | ~ (v79 = e2) | ~ (v15 = e0)) & ( ~ (v85 = e1) | ~ (v79 = e0) | ~ (v15 = e2)) & ( ~ (v85 = e0) | ~ (v79 = e2) | ~ (v15 = e1)) & ( ~ (v85 = e0) | ~ (v79 = e1) | ~ (v15 = e2)) & ( ~ (v84 = e3) | ~ (v58 = e1) | ~ (v10 = e0)) & ( ~ (v84 = e3) | ~ (v58 = e0) | ~ (v10 = e1)) & ( ~ (v84 = e1) | ~ (v58 = e3) | ~ (v10 = e0)) & ( ~ (v84 = e1) | ~ (v58 = e0) | ~ (v10 = e3)) & ( ~ (v84 = e0) | ~ (v58 = e3) | ~ (v10 = e1)) & ( ~ (v84 = e0) | ~ (v58 = e1) | ~ (v10 = e3)) & ( ~ (v83 = e2) | v82 = e3) & ( ~ (v83 = e1) | v81 = e3) & ( ~ (v83 = e0) | v80 = e3) & ( ~ (v82 = e3) | v83 = e2) & ( ~ (v82 = e1) | v81 = e2) & ( ~ (v82 = e0) | v80 = e2) & ( ~ (v81 = e3) | v83 = e1) & ( ~ (v81 = e2) | v82 = e1) & ( ~ (v81 = e0) | v80 = e1) & ( ~ (v80 = e3) | v83 = e0) & ( ~ (v80 = e2) | v82 = e0) & ( ~ (v80 = e1) | v81 = e0) & ( ~ (v15 = e3) | ~ (v10 = e3) | ~ (v5 = e3) | ~ (v0 = e3)) & ( ~ (v15 = e2) | ~ (v10 = e2) | ~ (v5 = e2) | ~ (v0 = e2)) & ( ~ (v15 = e1) | ~ (v10 = e1) | ~ (v5 = e1) | ~ (v0 = e1)) & ( ~ (v15 = e0) | ~ (v10 = e0) | ~ (v5 = e0) | ~ (v0 = e0)) & (v83 = e3 | v83 = e2 | v83 = e1 | v83 = e0) & (v82 = e3 | v82 = e2 | v82 = e1 | v82 = e0) & (v81 = e3 | v81 = e2 | v81 = e1 | v81 = e0) & (v80 = e3 | v80 = e2 | v80 = e1 | v80 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = 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) & (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) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e3 | unit = e2 | unit = e1 | unit = e0))
% 36.19/10.21 | 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, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87 yields:
% 36.19/10.21 | (1) ~ (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_5_5 = all_0_6_6) & ~ (all_0_5_5 = all_0_7_7) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_72_72 = all_0_73_73) & ~ (all_0_72_72 = all_0_74_74) & ~ (all_0_72_72 = all_0_75_75) & ~ (all_0_72_72 = all_0_76_76) & ~ (all_0_72_72 = all_0_80_80) & ~ (all_0_72_72 = all_0_84_84) & ~ (all_0_73_73 = all_0_74_74) & ~ (all_0_73_73 = all_0_75_75) & ~ (all_0_73_73 = all_0_77_77) & ~ (all_0_73_73 = all_0_81_81) & ~ (all_0_73_73 = all_0_85_85) & ~ (all_0_74_74 = all_0_75_75) & ~ (all_0_74_74 = all_0_78_78) & ~ (all_0_74_74 = all_0_82_82) & ~ (all_0_74_74 = all_0_86_86) & ~ (all_0_75_75 = all_0_79_79) & ~ (all_0_75_75 = all_0_83_83) & ~ (all_0_75_75 = all_0_87_87) & ~ (all_0_76_76 = all_0_77_77) & ~ (all_0_76_76 = all_0_78_78) & ~ (all_0_76_76 = all_0_79_79) & ~ (all_0_76_76 = all_0_80_80) & ~ (all_0_76_76 = all_0_84_84) & ~ (all_0_77_77 = all_0_78_78) & ~ (all_0_77_77 = all_0_79_79) & ~ (all_0_77_77 = all_0_81_81) & ~ (all_0_77_77 = all_0_85_85) & ~ (all_0_78_78 = all_0_79_79) & ~ (all_0_78_78 = all_0_82_82) & ~ (all_0_78_78 = all_0_86_86) & ~ (all_0_79_79 = all_0_83_83) & ~ (all_0_79_79 = all_0_87_87) & ~ (all_0_80_80 = all_0_81_81) & ~ (all_0_80_80 = all_0_82_82) & ~ (all_0_80_80 = all_0_83_83) & ~ (all_0_80_80 = all_0_84_84) & ~ (all_0_81_81 = all_0_82_82) & ~ (all_0_81_81 = all_0_83_83) & ~ (all_0_81_81 = all_0_85_85) & ~ (all_0_82_82 = all_0_83_83) & ~ (all_0_82_82 = all_0_86_86) & ~ (all_0_83_83 = all_0_87_87) & ~ (all_0_84_84 = all_0_85_85) & ~ (all_0_84_84 = all_0_86_86) & ~ (all_0_84_84 = all_0_87_87) & ~ (all_0_85_85 = all_0_86_86) & ~ (all_0_85_85 = all_0_87_87) & ~ (all_0_86_86 = all_0_87_87) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & inv(all_0_4_4) = e3 & inv(all_0_5_5) = e2 & inv(all_0_6_6) = e1 & inv(all_0_7_7) = e0 & inv(unit) = unit & inv(e3) = all_0_4_4 & inv(e2) = all_0_5_5 & inv(e1) = all_0_6_6 & inv(e0) = all_0_7_7 & op(all_0_4_4, e3) = unit & op(all_0_5_5, e2) = unit & op(all_0_6_6, e1) = unit & op(all_0_7_7, e0) = unit & op(all_0_8_8, e3) = all_0_2_2 & op(all_0_29_29, e2) = all_0_3_3 & op(all_0_50_50, e1) = all_0_1_1 & op(all_0_71_71, e0) = all_0_0_0 & op(all_0_72_72, e3) = all_0_8_8 & op(all_0_72_72, e2) = all_0_9_9 & op(all_0_72_72, e1) = all_0_10_10 & op(all_0_72_72, e0) = all_0_11_11 & op(all_0_73_73, e3) = all_0_12_12 & op(all_0_73_73, e2) = all_0_13_13 & op(all_0_73_73, e1) = all_0_14_14 & op(all_0_73_73, e0) = all_0_15_15 & op(all_0_74_74, e3) = all_0_16_16 & op(all_0_74_74, e2) = all_0_17_17 & op(all_0_74_74, e1) = all_0_18_18 & op(all_0_74_74, e0) = all_0_19_19 & op(all_0_75_75, e3) = all_0_20_20 & op(all_0_75_75, e2) = all_0_21_21 & op(all_0_75_75, e1) = all_0_22_22 & op(all_0_75_75, e0) = all_0_23_23 & op(all_0_76_76, e3) = all_0_24_24 & op(all_0_76_76, e2) = all_0_25_25 & op(all_0_76_76, e1) = all_0_26_26 & op(all_0_76_76, e0) = all_0_27_27 & op(all_0_77_77, e3) = all_0_28_28 & op(all_0_77_77, e2) = all_0_29_29 & op(all_0_77_77, e1) = all_0_30_30 & op(all_0_77_77, e0) = all_0_31_31 & op(all_0_78_78, e3) = all_0_32_32 & op(all_0_78_78, e2) = all_0_33_33 & op(all_0_78_78, e1) = all_0_34_34 & op(all_0_78_78, e0) = all_0_35_35 & op(all_0_79_79, e3) = all_0_36_36 & op(all_0_79_79, e2) = all_0_37_37 & op(all_0_79_79, e1) = all_0_38_38 & op(all_0_79_79, e0) = all_0_39_39 & op(all_0_80_80, e3) = all_0_40_40 & op(all_0_80_80, e2) = all_0_41_41 & op(all_0_80_80, e1) = all_0_42_42 & op(all_0_80_80, e0) = all_0_43_43 & op(all_0_81_81, e3) = all_0_44_44 & op(all_0_81_81, e2) = all_0_45_45 & op(all_0_81_81, e1) = all_0_46_46 & op(all_0_81_81, e0) = all_0_47_47 & op(all_0_82_82, e3) = all_0_48_48 & op(all_0_82_82, e2) = all_0_49_49 & op(all_0_82_82, e1) = all_0_50_50 & op(all_0_82_82, e0) = all_0_51_51 & op(all_0_83_83, e3) = all_0_52_52 & op(all_0_83_83, e2) = all_0_53_53 & op(all_0_83_83, e1) = all_0_54_54 & op(all_0_83_83, e0) = all_0_55_55 & op(all_0_84_84, e3) = all_0_56_56 & op(all_0_84_84, e2) = all_0_57_57 & op(all_0_84_84, e1) = all_0_58_58 & op(all_0_84_84, e0) = all_0_59_59 & op(all_0_85_85, e3) = all_0_60_60 & op(all_0_85_85, e2) = all_0_61_61 & op(all_0_85_85, e1) = all_0_62_62 & op(all_0_85_85, e0) = all_0_63_63 & op(all_0_86_86, e3) = all_0_64_64 & op(all_0_86_86, e2) = all_0_65_65 & op(all_0_86_86, e1) = all_0_66_66 & op(all_0_86_86, e0) = all_0_67_67 & op(all_0_87_87, e3) = all_0_68_68 & op(all_0_87_87, e2) = all_0_69_69 & op(all_0_87_87, e1) = all_0_70_70 & op(all_0_87_87, e0) = all_0_71_71 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e3, all_0_4_4) = unit & op(e3, all_0_72_72) = all_0_8_8 & op(e3, all_0_73_73) = all_0_9_9 & op(e3, all_0_74_74) = all_0_10_10 & op(e3, all_0_75_75) = all_0_11_11 & op(e3, all_0_76_76) = all_0_12_12 & op(e3, all_0_77_77) = all_0_13_13 & op(e3, all_0_78_78) = all_0_14_14 & op(e3, all_0_79_79) = all_0_15_15 & op(e3, all_0_80_80) = all_0_16_16 & op(e3, all_0_81_81) = all_0_17_17 & op(e3, all_0_82_82) = all_0_18_18 & op(e3, all_0_83_83) = all_0_19_19 & op(e3, all_0_84_84) = all_0_20_20 & op(e3, all_0_85_85) = all_0_21_21 & op(e3, all_0_86_86) = all_0_22_22 & op(e3, all_0_87_87) = all_0_23_23 & op(e3, unit) = e3 & op(e3, e3) = all_0_72_72 & op(e3, e2) = all_0_73_73 & op(e3, e1) = all_0_74_74 & op(e3, e0) = all_0_75_75 & op(e2, all_0_5_5) = unit & op(e2, all_0_72_72) = all_0_24_24 & op(e2, all_0_73_73) = all_0_25_25 & op(e2, all_0_74_74) = all_0_26_26 & op(e2, all_0_75_75) = all_0_27_27 & op(e2, all_0_76_76) = all_0_28_28 & op(e2, all_0_77_77) = all_0_29_29 & op(e2, all_0_78_78) = all_0_30_30 & op(e2, all_0_79_79) = all_0_31_31 & op(e2, all_0_80_80) = all_0_32_32 & op(e2, all_0_81_81) = all_0_33_33 & op(e2, all_0_82_82) = all_0_34_34 & op(e2, all_0_83_83) = all_0_35_35 & op(e2, all_0_84_84) = all_0_36_36 & op(e2, all_0_85_85) = all_0_37_37 & op(e2, all_0_86_86) = all_0_38_38 & op(e2, all_0_87_87) = all_0_39_39 & op(e2, unit) = e2 & op(e2, e3) = all_0_76_76 & op(e2, e2) = all_0_77_77 & op(e2, e1) = all_0_78_78 & op(e2, e0) = all_0_79_79 & op(e1, all_0_6_6) = unit & op(e1, all_0_72_72) = all_0_40_40 & op(e1, all_0_73_73) = all_0_41_41 & op(e1, all_0_74_74) = all_0_42_42 & op(e1, all_0_75_75) = all_0_43_43 & op(e1, all_0_76_76) = all_0_44_44 & op(e1, all_0_77_77) = all_0_45_45 & op(e1, all_0_78_78) = all_0_46_46 & op(e1, all_0_79_79) = all_0_47_47 & op(e1, all_0_80_80) = all_0_48_48 & op(e1, all_0_81_81) = all_0_49_49 & op(e1, all_0_82_82) = all_0_50_50 & op(e1, all_0_83_83) = all_0_51_51 & op(e1, all_0_84_84) = all_0_52_52 & op(e1, all_0_85_85) = all_0_53_53 & op(e1, all_0_86_86) = all_0_54_54 & op(e1, all_0_87_87) = all_0_55_55 & op(e1, unit) = e1 & op(e1, e3) = all_0_80_80 & op(e1, e2) = all_0_81_81 & op(e1, e1) = all_0_82_82 & op(e1, e0) = all_0_83_83 & op(e0, all_0_7_7) = unit & op(e0, all_0_72_72) = all_0_56_56 & op(e0, all_0_73_73) = all_0_57_57 & op(e0, all_0_74_74) = all_0_58_58 & op(e0, all_0_75_75) = all_0_59_59 & op(e0, all_0_76_76) = all_0_60_60 & op(e0, all_0_77_77) = all_0_61_61 & op(e0, all_0_78_78) = all_0_62_62 & op(e0, all_0_79_79) = all_0_63_63 & op(e0, all_0_80_80) = all_0_64_64 & op(e0, all_0_81_81) = all_0_65_65 & op(e0, all_0_82_82) = all_0_66_66 & op(e0, all_0_83_83) = all_0_67_67 & op(e0, all_0_84_84) = all_0_68_68 & op(e0, all_0_85_85) = all_0_69_69 & op(e0, all_0_86_86) = all_0_70_70 & op(e0, all_0_87_87) = all_0_71_71 & op(e0, unit) = e0 & op(e0, e3) = all_0_84_84 & op(e0, e2) = all_0_85_85 & op(e0, e1) = all_0_86_86 & op(e0, e0) = all_0_87_87 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_71_71 = e2) | ~ (all_0_87_87 = e1)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_71_71 = e1) | ~ (all_0_87_87 = e2)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_71_71 = e3) | ~ (all_0_87_87 = e1)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_71_71 = e1) | ~ (all_0_87_87 = e3)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_71_71 = e3) | ~ (all_0_87_87 = e2)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_71_71 = e2) | ~ (all_0_87_87 = e3)) & ( ~ (all_0_1_1 = e3) | ~ (all_0_50_50 = e2) | ~ (all_0_82_82 = e0)) & ( ~ (all_0_1_1 = e3) | ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e2)) & ( ~ (all_0_1_1 = e2) | ~ (all_0_50_50 = e3) | ~ (all_0_82_82 = e0)) & ( ~ (all_0_1_1 = e2) | ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e3)) & ( ~ (all_0_1_1 = e0) | ~ (all_0_50_50 = e3) | ~ (all_0_82_82 = e2)) & ( ~ (all_0_1_1 = e0) | ~ (all_0_50_50 = e2) | ~ (all_0_82_82 = e3)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e0)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e1)) & ( ~ (all_0_2_2 = e1) | ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e0)) & ( ~ (all_0_2_2 = e1) | ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e2)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e1)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e2)) & ( ~ (all_0_3_3 = e3) | ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e0)) & ( ~ (all_0_3_3 = e3) | ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e1)) & ( ~ (all_0_3_3 = e1) | ~ (all_0_29_29 = e3) | ~ (all_0_77_77 = e0)) & ( ~ (all_0_3_3 = e1) | ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e3)) & ( ~ (all_0_3_3 = e0) | ~ (all_0_29_29 = e3) | ~ (all_0_77_77 = e1)) & ( ~ (all_0_3_3 = e0) | ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e3)) & ( ~ (all_0_4_4 = e2) | all_0_5_5 = e3) & ( ~ (all_0_4_4 = e1) | all_0_6_6 = e3) & ( ~ (all_0_4_4 = e0) | all_0_7_7 = e3) & ( ~ (all_0_5_5 = e3) | all_0_4_4 = e2) & ( ~ (all_0_5_5 = e1) | all_0_6_6 = e2) & ( ~ (all_0_5_5 = e0) | all_0_7_7 = e2) & ( ~ (all_0_6_6 = e3) | all_0_4_4 = e1) & ( ~ (all_0_6_6 = e2) | all_0_5_5 = e1) & ( ~ (all_0_6_6 = e0) | all_0_7_7 = e1) & ( ~ (all_0_7_7 = e3) | all_0_4_4 = e0) & ( ~ (all_0_7_7 = e2) | all_0_5_5 = e0) & ( ~ (all_0_7_7 = e1) | all_0_6_6 = e0) & ( ~ (all_0_72_72 = e3) | ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)) & ( ~ (all_0_72_72 = e2) | ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)) & ( ~ (all_0_72_72 = e1) | ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)) & ( ~ (all_0_72_72 = e0) | ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)) & (all_0_4_4 = e3 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0) & (all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0) & (all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0) & (all_0_72_72 = e3 | all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0) & (all_0_73_73 = e3 | all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0) & (all_0_74_74 = e3 | all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0) & (all_0_75_75 = e3 | all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0) & (all_0_76_76 = e3 | all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0) & (all_0_77_77 = e3 | all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0) & (all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0) & (all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0) & (all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0) & (all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0) & (all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0) & (all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0) & (all_0_84_84 = e3 | all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0) & (all_0_85_85 = e3 | all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0) & (all_0_86_86 = e3 | all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0) & (all_0_87_87 = e3 | all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0) & (unit = e3 | unit = e2 | unit = e1 | unit = e0)
% 36.19/10.24 |
% 36.19/10.24 | Applying alpha-rule on (1) yields:
% 36.19/10.24 | (2) op(e3, all_0_72_72) = all_0_8_8
% 36.19/10.24 | (3) op(all_0_72_72, e2) = all_0_9_9
% 36.19/10.24 | (4) op(all_0_72_72, e3) = all_0_8_8
% 36.19/10.24 | (5) op(all_0_86_86, e1) = all_0_66_66
% 36.19/10.24 | (6) ~ (all_0_78_78 = all_0_82_82)
% 36.19/10.24 | (7) op(e0, all_0_82_82) = all_0_66_66
% 36.19/10.24 | (8) op(e0, unit) = e0
% 36.19/10.24 | (9) op(e3, all_0_82_82) = all_0_18_18
% 36.19/10.24 | (10) ~ (all_0_4_4 = e2) | all_0_5_5 = e3
% 36.19/10.24 | (11) all_0_74_74 = e3 | all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 36.19/10.24 | (12) ~ (e2 = e1)
% 36.19/10.24 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 36.19/10.24 | (14) op(e2, all_0_77_77) = all_0_29_29
% 36.19/10.24 | (15) op(all_0_75_75, e3) = all_0_20_20
% 36.19/10.24 | (16) op(e0, all_0_83_83) = all_0_67_67
% 36.19/10.25 | (17) ~ (all_0_72_72 = all_0_73_73)
% 36.19/10.25 | (18) op(all_0_7_7, e0) = unit
% 36.19/10.25 | (19) all_0_76_76 = e3 | all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 36.19/10.25 | (20) ~ (all_0_3_3 = e3) | ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e1)
% 36.19/10.25 | (21) ~ (all_0_0_0 = e3) | ~ (all_0_71_71 = e2) | ~ (all_0_87_87 = e1)
% 36.19/10.25 | (22) inv(e2) = all_0_5_5
% 36.19/10.25 | (23) all_0_85_85 = e3 | all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 36.19/10.25 | (24) all_0_72_72 = e3 | all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 36.19/10.25 | (25) ~ (all_0_78_78 = all_0_79_79)
% 36.19/10.25 | (26) ~ (all_0_0_0 = e2) | ~ (all_0_71_71 = e1) | ~ (all_0_87_87 = e3)
% 36.19/10.25 | (27) ~ (all_0_2_2 = e1) | ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e2)
% 36.19/10.25 | (28) ~ (all_0_74_74 = all_0_82_82)
% 36.19/10.25 | (29) op(e0, e0) = all_0_87_87
% 36.19/10.25 | (30) op(all_0_50_50, e1) = all_0_1_1
% 36.19/10.25 | (31) op(e1, all_0_79_79) = all_0_47_47
% 36.19/10.25 | (32) ~ (all_0_74_74 = all_0_86_86)
% 36.19/10.25 | (33) inv(e3) = all_0_4_4
% 36.19/10.25 | (34) all_0_87_87 = e3 | all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 36.19/10.25 | (35) op(all_0_72_72, e1) = all_0_10_10
% 36.19/10.25 | (36) op(e1, all_0_85_85) = all_0_53_53
% 36.19/10.25 | (37) op(all_0_71_71, e0) = all_0_0_0
% 36.19/10.25 | (38) ~ (all_0_74_74 = all_0_78_78)
% 36.19/10.25 | (39) op(e1, unit) = e1
% 36.19/10.25 | (40) op(all_0_80_80, e1) = all_0_42_42
% 36.19/10.25 | (41) op(e2, e2) = all_0_77_77
% 36.19/10.25 | (42) op(e2, all_0_73_73) = all_0_25_25
% 36.19/10.25 | (43) ~ (all_0_4_4 = e1) | all_0_6_6 = e3
% 36.19/10.25 | (44) ~ (all_0_79_79 = all_0_83_83)
% 36.19/10.25 | (45) op(all_0_77_77, e3) = all_0_28_28
% 36.19/10.25 | (46) ~ (e3 = e0)
% 36.19/10.25 | (47) op(e1, all_0_77_77) = all_0_45_45
% 36.19/10.25 | (48) ~ (all_0_5_5 = e3) | all_0_4_4 = e2
% 36.19/10.25 | (49) op(all_0_84_84, e0) = all_0_59_59
% 36.19/10.25 | (50) all_0_78_78 = e3 | all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 36.19/10.25 | (51) ~ (all_0_84_84 = all_0_86_86)
% 36.19/10.25 | (52) op(all_0_5_5, e2) = unit
% 36.19/10.25 | (53) op(e2, all_0_75_75) = all_0_27_27
% 36.19/10.25 | (54) op(e3, e1) = all_0_74_74
% 36.19/10.25 | (55) op(e0, all_0_87_87) = all_0_71_71
% 36.19/10.25 | (56) op(e0, all_0_73_73) = all_0_57_57
% 36.19/10.25 | (57) ~ (all_0_1_1 = e0) | ~ (all_0_50_50 = e3) | ~ (all_0_82_82 = e2)
% 36.19/10.25 | (58) inv(e0) = all_0_7_7
% 36.19/10.25 | (59) op(all_0_87_87, e3) = all_0_68_68
% 36.19/10.25 | (60) ~ (all_0_1_1 = e2) | ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e3)
% 36.19/10.25 | (61) op(all_0_87_87, e1) = all_0_70_70
% 36.19/10.25 | (62) op(all_0_78_78, e2) = all_0_33_33
% 36.19/10.25 | (63) op(e1, all_0_73_73) = all_0_41_41
% 36.19/10.25 | (64) ~ (all_0_72_72 = all_0_75_75)
% 36.19/10.25 | (65) op(e2, all_0_84_84) = all_0_36_36
% 36.19/10.25 | (66) ~ (all_0_73_73 = all_0_77_77)
% 36.19/10.25 | (67) op(all_0_74_74, e3) = all_0_16_16
% 36.19/10.25 | (68) op(all_0_76_76, e2) = all_0_25_25
% 36.19/10.25 | (69) ~ (e1 = e0)
% 36.19/10.25 | (70) op(e3, all_0_74_74) = all_0_10_10
% 36.19/10.25 | (71) all_0_73_73 = e3 | all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 36.19/10.25 | (72) op(e0, e2) = all_0_85_85
% 36.19/10.26 | (73) ~ (all_0_6_6 = all_0_7_7)
% 36.19/10.26 | (74) all_0_75_75 = e3 | all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 36.19/10.26 | (75) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 36.19/10.26 | (76) op(all_0_82_82, e3) = all_0_48_48
% 36.19/10.26 | (77) op(all_0_75_75, e2) = all_0_21_21
% 36.19/10.26 | (78) ~ (all_0_5_5 = e0) | all_0_7_7 = e2
% 36.19/10.26 | (79) op(all_0_78_78, e3) = all_0_32_32
% 36.19/10.26 | (80) op(all_0_77_77, e1) = all_0_30_30
% 36.19/10.26 | (81) ~ (all_0_84_84 = all_0_85_85)
% 36.19/10.26 | (82) op(e1, all_0_72_72) = all_0_40_40
% 36.19/10.26 | (83) op(all_0_78_78, e1) = all_0_34_34
% 36.19/10.26 | (84) op(e1, e0) = all_0_83_83
% 36.19/10.26 | (85) ~ (all_0_77_77 = all_0_85_85)
% 36.19/10.26 | (86) ~ (all_0_3_3 = e0) | ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e3)
% 36.19/10.26 | (87) op(all_0_79_79, e3) = all_0_36_36
% 36.19/10.26 | (88) ~ (all_0_75_75 = all_0_83_83)
% 36.19/10.26 | (89) op(all_0_8_8, e3) = all_0_2_2
% 36.19/10.26 | (90) op(e3, all_0_78_78) = all_0_14_14
% 36.19/10.26 | (91) op(e1, all_0_75_75) = all_0_43_43
% 36.19/10.26 | (92) op(all_0_73_73, e1) = all_0_14_14
% 36.19/10.26 | (93) ~ (all_0_2_2 = e2) | ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e1)
% 36.19/10.26 | (94) all_0_77_77 = e3 | all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 36.19/10.26 | (95) op(e3, all_0_84_84) = all_0_20_20
% 36.19/10.26 | (96) ~ (all_0_76_76 = all_0_77_77)
% 36.19/10.26 | (97) ~ (all_0_4_4 = all_0_5_5)
% 36.19/10.26 | (98) op(e1, all_0_74_74) = all_0_42_42
% 36.19/10.26 | (99) op(all_0_76_76, e0) = all_0_27_27
% 36.19/10.26 | (100) op(e3, all_0_75_75) = all_0_11_11
% 36.19/10.26 | (101) op(unit, e1) = e1
% 36.19/10.26 | (102) inv(e1) = all_0_6_6
% 36.19/10.26 | (103) op(e2, all_0_87_87) = all_0_39_39
% 36.19/10.26 | (104) op(e2, unit) = e2
% 36.19/10.26 | (105) ~ (all_0_5_5 = all_0_7_7)
% 36.19/10.26 | (106) ~ (all_0_73_73 = all_0_75_75)
% 36.19/10.26 | (107) op(all_0_81_81, e0) = all_0_47_47
% 36.19/10.26 | (108) op(e3, all_0_77_77) = all_0_13_13
% 36.19/10.26 | (109) op(e2, all_0_80_80) = all_0_32_32
% 36.19/10.26 | (110) op(e1, all_0_80_80) = all_0_48_48
% 36.19/10.26 | (111) op(e0, all_0_79_79) = all_0_63_63
% 36.19/10.26 | (112) op(e2, all_0_82_82) = all_0_34_34
% 36.19/10.26 | (113) op(e3, unit) = e3
% 36.19/10.26 | (114) op(e1, all_0_6_6) = unit
% 36.19/10.26 | (115) op(e3, all_0_85_85) = all_0_21_21
% 36.19/10.26 | (116) op(all_0_81_81, e2) = all_0_45_45
% 36.19/10.26 | (117) op(all_0_80_80, e3) = all_0_40_40
% 36.19/10.26 | (118) ~ (all_0_75_75 = all_0_79_79)
% 36.19/10.26 | (119) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 36.19/10.26 | (120) ~ (e3 = e2)
% 36.19/10.26 | (121) op(all_0_73_73, e0) = all_0_15_15
% 36.19/10.26 | (122) inv(all_0_6_6) = e1
% 36.19/10.26 | (123) all_0_86_86 = e3 | all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 36.19/10.26 | (124) op(unit, e0) = e0
% 36.19/10.26 | (125) ~ (all_0_7_7 = e3) | all_0_4_4 = e0
% 36.19/10.26 | (126) ~ (all_0_77_77 = all_0_81_81)
% 36.19/10.27 | (127) op(all_0_81_81, e3) = all_0_44_44
% 36.19/10.27 | (128) op(all_0_72_72, e0) = all_0_11_11
% 36.19/10.27 | (129) op(all_0_6_6, e1) = unit
% 36.19/10.27 | (130) ~ (all_0_85_85 = all_0_86_86)
% 36.19/10.27 | (131) op(all_0_79_79, e2) = all_0_37_37
% 36.19/10.27 | (132) ~ (all_0_72_72 = all_0_84_84)
% 36.19/10.27 | (133) ~ (all_0_72_72 = e3) | ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 36.19/10.27 | (134) ~ (all_0_72_72 = all_0_74_74)
% 36.19/10.27 | (135) ~ (all_0_2_2 = e1) | ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e0)
% 36.19/10.27 | (136) op(all_0_82_82, e0) = all_0_51_51
% 36.19/10.27 | (137) op(e3, all_0_73_73) = all_0_9_9
% 36.19/10.27 | (138) op(e0, all_0_86_86) = all_0_70_70
% 36.19/10.27 | (139) op(e3, e0) = all_0_75_75
% 36.19/10.27 | (140) ~ (all_0_74_74 = all_0_75_75)
% 36.19/10.27 | (141) ~ (all_0_80_80 = all_0_82_82)
% 36.19/10.27 | (142) ~ (all_0_1_1 = e0) | ~ (all_0_50_50 = e2) | ~ (all_0_82_82 = e3)
% 36.19/10.27 | (143) ~ (all_0_2_2 = e2) | ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e0)
% 36.19/10.27 | (144) op(e3, all_0_83_83) = all_0_19_19
% 36.19/10.27 | (145) op(e1, all_0_76_76) = all_0_44_44
% 36.19/10.27 | (146) ~ (all_0_79_79 = all_0_87_87)
% 36.19/10.27 | (147) ~ (all_0_72_72 = e2) | ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 36.19/10.27 | (148) ~ (all_0_1_1 = e2) | ~ (all_0_50_50 = e3) | ~ (all_0_82_82 = e0)
% 36.19/10.27 | (149) op(e2, all_0_72_72) = all_0_24_24
% 36.19/10.27 | (150) op(e1, all_0_81_81) = all_0_49_49
% 36.19/10.27 | (151) all_0_83_83 = e3 | all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 36.19/10.27 | (152) inv(unit) = unit
% 36.19/10.27 | (153) op(all_0_80_80, e0) = all_0_43_43
% 36.19/10.27 | (154) op(e1, all_0_82_82) = all_0_50_50
% 36.19/10.27 | (155) op(all_0_83_83, e1) = all_0_54_54
% 36.19/10.27 | (156) ~ (all_0_85_85 = all_0_87_87)
% 36.19/10.27 | (157) op(e2, all_0_83_83) = all_0_35_35
% 36.19/10.27 | (158) op(e3, all_0_87_87) = all_0_23_23
% 36.19/10.27 | (159) op(e3, all_0_80_80) = all_0_16_16
% 36.19/10.27 | (160) ~ (all_0_6_6 = e2) | all_0_5_5 = e1
% 36.19/10.27 | (161) ~ (all_0_7_7 = e1) | all_0_6_6 = e0
% 36.19/10.27 | (162) op(e1, all_0_78_78) = all_0_46_46
% 36.19/10.27 | (163) op(all_0_75_75, e0) = all_0_23_23
% 36.19/10.27 | (164) op(e0, all_0_81_81) = all_0_65_65
% 36.19/10.27 | (165) ~ (all_0_0_0 = e2) | ~ (all_0_71_71 = e3) | ~ (all_0_87_87 = e1)
% 36.19/10.27 | (166) ~ (all_0_6_6 = e3) | all_0_4_4 = e1
% 36.19/10.27 | (167) ~ (all_0_0_0 = e1) | ~ (all_0_71_71 = e3) | ~ (all_0_87_87 = e2)
% 36.19/10.27 | (168) all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 36.19/10.27 | (169) ~ (all_0_2_2 = e0) | ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e2)
% 36.19/10.27 | (170) inv(all_0_4_4) = e3
% 36.19/10.27 | (171) ~ (all_0_4_4 = e0) | all_0_7_7 = e3
% 36.19/10.27 | (172) op(e1, all_0_86_86) = all_0_54_54
% 36.19/10.27 | (173) ~ (all_0_76_76 = all_0_80_80)
% 36.19/10.27 | (174) ~ (all_0_3_3 = e3) | ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e0)
% 36.19/10.28 | (175) ~ (all_0_3_3 = e1) | ~ (all_0_29_29 = e3) | ~ (all_0_77_77 = e0)
% 36.19/10.28 | (176) all_0_81_81 = e3 | all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 36.19/10.28 | (177) op(all_0_83_83, e0) = all_0_55_55
% 36.19/10.28 | (178) op(all_0_78_78, e0) = all_0_35_35
% 36.19/10.28 | (179) ~ (all_0_4_4 = all_0_7_7)
% 36.19/10.28 | (180) ~ (all_0_6_6 = e0) | all_0_7_7 = e1
% 36.19/10.28 | (181) ~ (all_0_3_3 = e0) | ~ (all_0_29_29 = e3) | ~ (all_0_77_77 = e1)
% 36.19/10.28 | (182) ~ (all_0_83_83 = all_0_87_87)
% 36.19/10.28 | (183) op(e1, e1) = all_0_82_82
% 36.19/10.28 | (184) all_0_79_79 = e3 | all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 36.19/10.28 | (185) ~ (all_0_73_73 = all_0_81_81)
% 36.19/10.28 | (186) op(all_0_85_85, e2) = all_0_61_61
% 36.19/10.28 | (187) inv(all_0_5_5) = e2
% 36.19/10.28 | (188) ~ (all_0_72_72 = e0) | ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 36.19/10.28 | (189) ~ (all_0_81_81 = all_0_83_83)
% 36.60/10.28 | (190) op(e0, all_0_85_85) = all_0_69_69
% 36.60/10.28 | (191) ~ (all_0_84_84 = all_0_87_87)
% 36.60/10.28 | (192) op(all_0_76_76, e1) = all_0_26_26
% 36.60/10.28 | (193) op(all_0_83_83, e3) = all_0_52_52
% 36.60/10.28 | (194) op(e0, e3) = all_0_84_84
% 36.60/10.28 | (195) op(all_0_83_83, e2) = all_0_53_53
% 36.60/10.28 | (196) op(e0, all_0_72_72) = all_0_56_56
% 36.60/10.28 | (197) op(e2, all_0_5_5) = unit
% 36.60/10.28 | (198) ~ (all_0_77_77 = all_0_78_78)
% 36.60/10.28 | (199) ~ (all_0_73_73 = all_0_74_74)
% 36.60/10.28 | (200) op(all_0_77_77, e0) = all_0_31_31
% 36.60/10.28 | (201) op(all_0_75_75, e1) = all_0_22_22
% 36.60/10.28 | (202) ~ (all_0_76_76 = all_0_84_84)
% 36.60/10.28 | (203) op(e1, all_0_87_87) = all_0_55_55
% 36.60/10.28 | (204) ~ (all_0_76_76 = all_0_78_78)
% 36.60/10.28 | (205) ~ (all_0_5_5 = e1) | all_0_6_6 = e2
% 36.60/10.28 | (206) op(e3, all_0_81_81) = all_0_17_17
% 36.60/10.28 | (207) op(e2, all_0_85_85) = all_0_37_37
% 36.60/10.28 | (208) op(e2, e3) = all_0_76_76
% 36.60/10.28 | (209) op(e2, e1) = all_0_78_78
% 36.60/10.28 | (210) op(e0, all_0_76_76) = all_0_60_60
% 36.60/10.28 | (211) ~ (all_0_1_1 = e3) | ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e2)
% 36.60/10.28 | (212) ~ (all_0_4_4 = all_0_6_6)
% 36.60/10.28 | (213) op(e1, e3) = all_0_80_80
% 36.60/10.28 | (214) ~ (all_0_82_82 = all_0_83_83)
% 36.60/10.28 | (215) ~ (e3 = e1)
% 36.60/10.28 | (216) op(all_0_82_82, e1) = all_0_50_50
% 36.60/10.28 | (217) ~ (all_0_80_80 = all_0_83_83)
% 36.60/10.28 | (218) op(e0, all_0_80_80) = all_0_64_64
% 36.60/10.28 | (219) ~ (all_0_3_3 = e1) | ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e3)
% 36.60/10.28 | (220) op(e0, all_0_77_77) = all_0_61_61
% 36.60/10.28 | (221) op(all_0_85_85, e0) = all_0_63_63
% 36.60/10.28 | (222) ~ (all_0_77_77 = all_0_79_79)
% 36.60/10.29 | (223) op(e0, e1) = all_0_86_86
% 36.60/10.29 | (224) op(all_0_81_81, e1) = all_0_46_46
% 36.60/10.29 | (225) op(all_0_87_87, e0) = all_0_71_71
% 36.60/10.29 | (226) op(unit, e2) = e2
% 36.60/10.29 | (227) op(e3, all_0_79_79) = all_0_15_15
% 36.60/10.29 | (228) op(e0, all_0_78_78) = all_0_62_62
% 36.60/10.29 | (229) inv(all_0_7_7) = e0
% 36.60/10.29 | (230) ~ (all_0_72_72 = e1) | ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 36.60/10.29 | (231) op(e3, e3) = all_0_72_72
% 36.60/10.29 | (232) op(e2, all_0_86_86) = all_0_38_38
% 36.60/10.29 | (233) ~ (all_0_7_7 = e2) | all_0_5_5 = e0
% 36.60/10.29 | (234) ~ (all_0_86_86 = all_0_87_87)
% 36.60/10.29 | (235) all_0_4_4 = e3 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 36.60/10.29 | (236) ~ (all_0_0_0 = e1) | ~ (all_0_71_71 = e2) | ~ (all_0_87_87 = e3)
% 36.60/10.29 | (237) op(all_0_74_74, e0) = all_0_19_19
% 36.60/10.29 | (238) op(all_0_4_4, e3) = unit
% 36.60/10.29 | (239) all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0
% 36.60/10.29 | (240) all_0_84_84 = e3 | all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 36.60/10.29 | (241) all_0_82_82 = e3 | all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 36.60/10.29 | (242) ~ (all_0_80_80 = all_0_81_81)
% 36.60/10.29 | (243) op(e0, all_0_7_7) = unit
% 36.60/10.29 | (244) op(all_0_85_85, e3) = all_0_60_60
% 36.60/10.29 | (245) all_0_80_80 = e3 | all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 36.60/10.29 | (246) op(all_0_86_86, e2) = all_0_65_65
% 36.60/10.29 | (247) op(all_0_77_77, e2) = all_0_29_29
% 36.60/10.29 | (248) ~ (e2 = e0)
% 36.60/10.29 | (249) ~ (all_0_72_72 = all_0_76_76)
% 36.60/10.29 | (250) op(all_0_86_86, e0) = all_0_67_67
% 36.60/10.29 | (251) op(e1, all_0_84_84) = all_0_52_52
% 36.60/10.29 | (252) op(e2, all_0_79_79) = all_0_31_31
% 36.60/10.29 | (253) op(all_0_86_86, e3) = all_0_64_64
% 36.60/10.29 | (254) op(all_0_73_73, e2) = all_0_13_13
% 36.60/10.29 | (255) op(all_0_87_87, e2) = all_0_69_69
% 36.60/10.29 | (256) op(unit, e3) = e3
% 36.60/10.29 | (257) op(e3, all_0_86_86) = all_0_22_22
% 36.60/10.29 | (258) op(e1, e2) = all_0_81_81
% 36.60/10.29 | (259) op(all_0_84_84, e3) = all_0_56_56
% 36.60/10.30 | (260) op(all_0_84_84, e2) = all_0_57_57
% 36.60/10.30 | (261) op(all_0_74_74, e1) = all_0_18_18
% 36.60/10.30 | (262) op(e3, e2) = all_0_73_73
% 36.60/10.30 | (263) op(all_0_82_82, e2) = all_0_49_49
% 36.60/10.30 | (264) op(e2, all_0_78_78) = all_0_30_30
% 36.60/10.30 | (265) ~ (all_0_1_1 = e3) | ~ (all_0_50_50 = e2) | ~ (all_0_82_82 = e0)
% 36.60/10.30 | (266) ~ (all_0_78_78 = all_0_86_86)
% 36.60/10.30 | (267) op(all_0_74_74, e2) = all_0_17_17
% 36.60/10.30 | (268) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 36.60/10.30 | (269) op(all_0_79_79, e0) = all_0_39_39
% 36.60/10.30 | (270) op(all_0_76_76, e3) = all_0_24_24
% 36.60/10.30 | (271) op(e1, all_0_83_83) = all_0_51_51
% 36.60/10.30 | (272) op(e2, all_0_76_76) = all_0_28_28
% 36.60/10.30 | (273) op(e3, all_0_76_76) = all_0_12_12
% 36.60/10.30 | (274) ~ (all_0_75_75 = all_0_87_87)
% 36.60/10.30 | (275) ~ (all_0_2_2 = e0) | ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e1)
% 36.60/10.30 | (276) ~ (all_0_81_81 = all_0_82_82)
% 36.60/10.30 | (277) ~ (all_0_5_5 = all_0_6_6)
% 36.60/10.30 | (278) op(e2, e0) = all_0_79_79
% 36.68/10.30 | (279) ~ (all_0_80_80 = all_0_84_84)
% 36.68/10.30 | (280) op(all_0_85_85, e1) = all_0_62_62
% 36.68/10.30 | (281) ~ (all_0_81_81 = all_0_85_85)
% 36.68/10.30 | (282) op(e0, all_0_75_75) = all_0_59_59
% 36.68/10.30 | (283) op(all_0_80_80, e2) = all_0_41_41
% 36.68/10.30 | (284) ~ (all_0_82_82 = all_0_86_86)
% 36.68/10.30 | (285) op(e2, all_0_74_74) = all_0_26_26
% 36.68/10.30 | (286) op(all_0_84_84, e1) = all_0_58_58
% 36.68/10.30 | (287) op(all_0_29_29, e2) = all_0_3_3
% 36.68/10.30 | (288) op(e2, all_0_81_81) = all_0_33_33
% 36.68/10.30 | (289) op(e3, all_0_4_4) = unit
% 36.68/10.30 | (290) op(e0, all_0_84_84) = all_0_68_68
% 36.68/10.30 | (291) op(e0, all_0_74_74) = all_0_58_58
% 36.68/10.30 | (292) ~ (all_0_72_72 = all_0_80_80)
% 36.68/10.30 | (293) op(all_0_79_79, e1) = all_0_38_38
% 36.68/10.30 | (294) ~ (all_0_0_0 = e3) | ~ (all_0_71_71 = e1) | ~ (all_0_87_87 = e2)
% 36.68/10.30 | (295) op(all_0_73_73, e3) = all_0_12_12
% 36.68/10.30 | (296) ~ (all_0_73_73 = all_0_85_85)
% 36.68/10.30 | (297) ~ (all_0_76_76 = all_0_79_79)
% 36.68/10.30 |
% 36.68/10.30 +-Applying beta-rule and splitting (78), into two cases.
% 36.68/10.30 |-Branch one:
% 36.68/10.30 | (298) ~ (all_0_5_5 = e0)
% 36.68/10.30 |
% 36.68/10.30 +-Applying beta-rule and splitting (233), into two cases.
% 36.68/10.30 |-Branch one:
% 36.68/10.30 | (299) ~ (all_0_7_7 = e2)
% 36.68/10.30 |
% 36.68/10.31 +-Applying beta-rule and splitting (160), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (300) ~ (all_0_6_6 = e2)
% 36.68/10.31 |
% 36.68/10.31 +-Applying beta-rule and splitting (180), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (301) ~ (all_0_6_6 = e0)
% 36.68/10.31 |
% 36.68/10.31 +-Applying beta-rule and splitting (166), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (302) ~ (all_0_6_6 = e3)
% 36.68/10.31 |
% 36.68/10.31 +-Applying beta-rule and splitting (239), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (303) all_0_6_6 = e3
% 36.68/10.31 |
% 36.68/10.31 | Equations (303) can reduce 302 to:
% 36.68/10.31 | (304) $false
% 36.68/10.31 |
% 36.68/10.31 |-The branch is then unsatisfiable
% 36.68/10.31 |-Branch two:
% 36.68/10.31 | (302) ~ (all_0_6_6 = e3)
% 36.68/10.31 | (306) all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0
% 36.68/10.31 |
% 36.68/10.31 +-Applying beta-rule and splitting (306), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (307) all_0_6_6 = e2
% 36.68/10.31 |
% 36.68/10.31 | Equations (307) can reduce 300 to:
% 36.68/10.31 | (304) $false
% 36.68/10.31 |
% 36.68/10.31 |-The branch is then unsatisfiable
% 36.68/10.31 |-Branch two:
% 36.68/10.31 | (300) ~ (all_0_6_6 = e2)
% 36.68/10.31 | (310) all_0_6_6 = e1 | all_0_6_6 = e0
% 36.68/10.31 |
% 36.68/10.31 +-Applying beta-rule and splitting (310), into two cases.
% 36.68/10.31 |-Branch one:
% 36.68/10.31 | (311) all_0_6_6 = e1
% 36.68/10.31 |
% 36.68/10.31 | Equations (311) can reduce 212 to:
% 36.68/10.31 | (312) ~ (all_0_4_4 = e1)
% 36.68/10.31 |
% 36.68/10.31 | Equations (311) can reduce 277 to:
% 36.68/10.31 | (313) ~ (all_0_5_5 = e1)
% 36.68/10.31 |
% 36.68/10.31 | Equations (311) can reduce 73 to:
% 36.68/10.31 | (314) ~ (all_0_7_7 = e1)
% 36.68/10.31 |
% 36.68/10.31 | Simplifying 314 yields:
% 36.68/10.31 | (315) ~ (all_0_7_7 = e1)
% 36.68/10.31 |
% 36.68/10.31 | From (311) and (114) follows:
% 36.68/10.31 | (316) op(e1, e1) = unit
% 36.68/10.31 |
% 36.68/10.31 | Instantiating formula (268) with e1, e1, unit, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = unit, yields:
% 36.68/10.31 | (317) all_0_82_82 = unit
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (76) follows:
% 36.68/10.31 | (318) op(unit, e3) = all_0_48_48
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (263) follows:
% 36.68/10.31 | (319) op(unit, e2) = all_0_49_49
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (216) follows:
% 36.68/10.31 | (320) op(unit, e1) = all_0_50_50
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (136) follows:
% 36.68/10.31 | (321) op(unit, e0) = all_0_51_51
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (9) follows:
% 36.68/10.31 | (322) op(e3, unit) = all_0_18_18
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (112) follows:
% 36.68/10.31 | (323) op(e2, unit) = all_0_34_34
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (154) follows:
% 36.68/10.31 | (324) op(e1, unit) = all_0_50_50
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (183) follows:
% 36.68/10.31 | (316) op(e1, e1) = unit
% 36.68/10.31 |
% 36.68/10.31 | From (317) and (7) follows:
% 36.68/10.31 | (326) op(e0, unit) = all_0_66_66
% 36.68/10.31 |
% 36.68/10.31 | Instantiating formula (268) with unit, e3, all_0_48_48, e3 and discharging atoms op(unit, e3) = all_0_48_48, op(unit, e3) = e3, yields:
% 36.68/10.31 | (327) all_0_48_48 = e3
% 36.68/10.31 |
% 36.68/10.31 | Instantiating formula (268) with unit, e2, all_0_49_49, e2 and discharging atoms op(unit, e2) = all_0_49_49, op(unit, e2) = e2, yields:
% 36.68/10.31 | (328) all_0_49_49 = e2
% 36.68/10.31 |
% 36.68/10.31 | Instantiating formula (268) with unit, e0, all_0_51_51, e0 and discharging atoms op(unit, e0) = all_0_51_51, op(unit, e0) = e0, yields:
% 36.68/10.31 | (329) all_0_51_51 = e0
% 36.68/10.31 |
% 36.68/10.31 | Instantiating formula (268) with e3, unit, all_0_18_18, e3 and discharging atoms op(e3, unit) = all_0_18_18, op(e3, unit) = e3, yields:
% 36.68/10.31 | (330) all_0_18_18 = e3
% 36.68/10.31 |
% 36.68/10.32 | Instantiating formula (268) with e2, unit, all_0_34_34, e2 and discharging atoms op(e2, unit) = all_0_34_34, op(e2, unit) = e2, yields:
% 36.68/10.32 | (331) all_0_34_34 = e2
% 36.68/10.32 |
% 36.68/10.32 | Instantiating formula (268) with e1, unit, all_0_50_50, e1 and discharging atoms op(e1, unit) = all_0_50_50, op(e1, unit) = e1, yields:
% 36.68/10.32 | (332) all_0_50_50 = e1
% 36.68/10.32 |
% 36.68/10.32 | Instantiating formula (268) with e0, unit, all_0_66_66, e0 and discharging atoms op(e0, unit) = all_0_66_66, op(e0, unit) = e0, yields:
% 36.68/10.32 | (333) all_0_66_66 = e0
% 36.68/10.32 |
% 36.68/10.32 | From (332) and (30) follows:
% 36.68/10.32 | (334) op(e1, e1) = all_0_1_1
% 36.68/10.32 |
% 36.68/10.32 | From (327) and (318) follows:
% 36.68/10.32 | (256) op(unit, e3) = e3
% 36.68/10.32 |
% 36.68/10.32 | From (328) and (319) follows:
% 36.68/10.32 | (226) op(unit, e2) = e2
% 36.68/10.32 |
% 36.68/10.32 | From (332) and (320) follows:
% 36.68/10.32 | (101) op(unit, e1) = e1
% 36.68/10.32 |
% 36.68/10.32 | From (329) and (321) follows:
% 36.68/10.32 | (124) op(unit, e0) = e0
% 36.68/10.32 |
% 36.68/10.32 | From (330) and (322) follows:
% 36.68/10.32 | (113) op(e3, unit) = e3
% 36.68/10.32 |
% 36.68/10.32 | From (331) and (323) follows:
% 36.68/10.32 | (104) op(e2, unit) = e2
% 36.68/10.32 |
% 36.68/10.32 | From (328) and (150) follows:
% 36.68/10.32 | (341) op(e1, all_0_81_81) = e2
% 36.68/10.32 |
% 36.68/10.32 | From (329) and (271) follows:
% 36.68/10.32 | (342) op(e1, all_0_83_83) = e0
% 36.68/10.32 |
% 36.68/10.32 | From (332) and (324) follows:
% 36.68/10.32 | (39) op(e1, unit) = e1
% 36.68/10.32 |
% 36.68/10.32 | From (333) and (326) follows:
% 36.68/10.32 | (8) op(e0, unit) = e0
% 36.68/10.32 |
% 36.68/10.32 | Instantiating formula (268) with e1, e1, all_0_1_1, unit and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = unit, yields:
% 36.68/10.32 | (345) all_0_1_1 = unit
% 36.68/10.32 |
% 36.68/10.32 | From (345) and (334) follows:
% 36.68/10.32 | (316) op(e1, e1) = unit
% 36.68/10.32 |
% 36.68/10.32 +-Applying beta-rule and splitting (125), into two cases.
% 36.68/10.32 |-Branch one:
% 36.68/10.32 | (347) ~ (all_0_7_7 = e3)
% 36.68/10.32 |
% 36.68/10.32 +-Applying beta-rule and splitting (75), into two cases.
% 36.68/10.32 |-Branch one:
% 36.68/10.32 | (348) all_0_7_7 = e3
% 36.68/10.32 |
% 36.68/10.32 | Equations (348) can reduce 347 to:
% 36.68/10.32 | (304) $false
% 36.68/10.32 |
% 36.68/10.32 |-The branch is then unsatisfiable
% 36.68/10.32 |-Branch two:
% 36.68/10.32 | (347) ~ (all_0_7_7 = e3)
% 36.68/10.32 | (351) all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 36.68/10.32 |
% 36.68/10.32 +-Applying beta-rule and splitting (351), into two cases.
% 36.68/10.32 |-Branch one:
% 36.68/10.32 | (352) all_0_7_7 = e2
% 36.68/10.32 |
% 36.68/10.32 | Equations (352) can reduce 299 to:
% 36.68/10.32 | (304) $false
% 36.68/10.32 |
% 36.68/10.32 |-The branch is then unsatisfiable
% 36.68/10.32 |-Branch two:
% 36.68/10.32 | (299) ~ (all_0_7_7 = e2)
% 36.77/10.32 | (355) all_0_7_7 = e1 | all_0_7_7 = e0
% 36.77/10.32 |
% 36.77/10.32 +-Applying beta-rule and splitting (355), into two cases.
% 36.77/10.32 |-Branch one:
% 36.77/10.32 | (356) all_0_7_7 = e1
% 36.77/10.32 |
% 36.77/10.32 | Equations (356) can reduce 315 to:
% 36.77/10.32 | (304) $false
% 36.77/10.32 |
% 36.77/10.32 |-The branch is then unsatisfiable
% 36.77/10.32 |-Branch two:
% 36.77/10.32 | (315) ~ (all_0_7_7 = e1)
% 36.77/10.32 | (359) all_0_7_7 = e0
% 36.77/10.32 |
% 36.77/10.32 | Equations (359) can reduce 179 to:
% 36.77/10.32 | (360) ~ (all_0_4_4 = e0)
% 36.77/10.32 |
% 36.77/10.32 | Equations (359) can reduce 105 to:
% 36.77/10.32 | (298) ~ (all_0_5_5 = e0)
% 36.77/10.32 |
% 36.77/10.32 | From (359) and (243) follows:
% 36.77/10.32 | (362) op(e0, e0) = unit
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with e0, e0, unit, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = unit, yields:
% 36.77/10.32 | (363) all_0_87_87 = unit
% 36.77/10.32 |
% 36.77/10.32 | Equations (363) can reduce 182 to:
% 36.77/10.32 | (364) ~ (all_0_83_83 = unit)
% 36.77/10.32 |
% 36.77/10.32 | Equations (363) can reduce 234 to:
% 36.77/10.32 | (365) ~ (all_0_86_86 = unit)
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (59) follows:
% 36.77/10.32 | (366) op(unit, e3) = all_0_68_68
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (255) follows:
% 36.77/10.32 | (367) op(unit, e2) = all_0_69_69
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (61) follows:
% 36.77/10.32 | (368) op(unit, e1) = all_0_70_70
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (225) follows:
% 36.77/10.32 | (369) op(unit, e0) = all_0_71_71
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (158) follows:
% 36.77/10.32 | (370) op(e3, unit) = all_0_23_23
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (55) follows:
% 36.77/10.32 | (371) op(e0, unit) = all_0_71_71
% 36.77/10.32 |
% 36.77/10.32 | From (363) and (29) follows:
% 36.77/10.32 | (362) op(e0, e0) = unit
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with unit, e3, all_0_68_68, e3 and discharging atoms op(unit, e3) = all_0_68_68, op(unit, e3) = e3, yields:
% 36.77/10.32 | (373) all_0_68_68 = e3
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with unit, e2, all_0_69_69, e2 and discharging atoms op(unit, e2) = all_0_69_69, op(unit, e2) = e2, yields:
% 36.77/10.32 | (374) all_0_69_69 = e2
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with unit, e1, all_0_70_70, e1 and discharging atoms op(unit, e1) = all_0_70_70, op(unit, e1) = e1, yields:
% 36.77/10.32 | (375) all_0_70_70 = e1
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with e3, unit, all_0_23_23, e3 and discharging atoms op(e3, unit) = all_0_23_23, op(e3, unit) = e3, yields:
% 36.77/10.32 | (376) all_0_23_23 = e3
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with e0, unit, all_0_71_71, e0 and discharging atoms op(e0, unit) = all_0_71_71, op(e0, unit) = e0, yields:
% 36.77/10.32 | (377) all_0_71_71 = e0
% 36.77/10.32 |
% 36.77/10.32 | From (377) and (37) follows:
% 36.77/10.32 | (378) op(e0, e0) = all_0_0_0
% 36.77/10.32 |
% 36.77/10.32 | From (374) and (367) follows:
% 36.77/10.32 | (226) op(unit, e2) = e2
% 36.77/10.32 |
% 36.77/10.32 | From (375) and (368) follows:
% 36.77/10.32 | (101) op(unit, e1) = e1
% 36.77/10.32 |
% 36.77/10.32 | From (377) and (369) follows:
% 36.77/10.32 | (124) op(unit, e0) = e0
% 36.77/10.32 |
% 36.77/10.32 | From (376) and (370) follows:
% 36.77/10.32 | (113) op(e3, unit) = e3
% 36.77/10.32 |
% 36.77/10.32 | From (373) and (290) follows:
% 36.77/10.32 | (383) op(e0, all_0_84_84) = e3
% 36.77/10.32 |
% 36.77/10.32 | From (374) and (190) follows:
% 36.77/10.32 | (384) op(e0, all_0_85_85) = e2
% 36.77/10.32 |
% 36.77/10.32 | From (375) and (138) follows:
% 36.77/10.32 | (385) op(e0, all_0_86_86) = e1
% 36.77/10.32 |
% 36.77/10.32 | From (377) and (371) follows:
% 36.77/10.32 | (8) op(e0, unit) = e0
% 36.77/10.32 |
% 36.77/10.32 | Instantiating formula (268) with e0, e0, all_0_0_0, unit and discharging atoms op(e0, e0) = all_0_0_0, op(e0, e0) = unit, yields:
% 36.77/10.32 | (387) all_0_0_0 = unit
% 36.77/10.32 |
% 36.77/10.32 | From (387) and (378) follows:
% 36.77/10.32 | (362) op(e0, e0) = unit
% 36.77/10.32 |
% 36.77/10.32 +-Applying beta-rule and splitting (48), into two cases.
% 36.77/10.32 |-Branch one:
% 36.77/10.32 | (389) ~ (all_0_5_5 = e3)
% 36.77/10.32 |
% 36.77/10.32 +-Applying beta-rule and splitting (168), into two cases.
% 36.77/10.32 |-Branch one:
% 36.77/10.32 | (390) all_0_5_5 = e3
% 36.77/10.32 |
% 36.77/10.33 | Equations (390) can reduce 389 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (389) ~ (all_0_5_5 = e3)
% 36.77/10.33 | (393) all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (393), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (394) all_0_5_5 = e2
% 36.77/10.33 |
% 36.77/10.33 | Equations (394) can reduce 97 to:
% 36.77/10.33 | (395) ~ (all_0_4_4 = e2)
% 36.77/10.33 |
% 36.77/10.33 | From (394) and (197) follows:
% 36.77/10.33 | (396) op(e2, e2) = unit
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (235), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (397) all_0_4_4 = e3
% 36.77/10.33 |
% 36.77/10.33 | From (397) and (289) follows:
% 36.77/10.33 | (398) op(e3, e3) = unit
% 36.77/10.33 |
% 36.77/10.33 | Instantiating formula (268) with e3, e3, unit, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = unit, yields:
% 36.77/10.33 | (399) all_0_72_72 = unit
% 36.77/10.33 |
% 36.77/10.33 | Instantiating formula (268) with e2, e2, unit, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = unit, yields:
% 36.77/10.33 | (400) all_0_77_77 = unit
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (188), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (401) ~ (all_0_72_72 = e0)
% 36.77/10.33 |
% 36.77/10.33 | Equations (399) can reduce 401 to:
% 36.77/10.33 | (402) ~ (unit = e0)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (230), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (403) ~ (all_0_72_72 = e1)
% 36.77/10.33 |
% 36.77/10.33 | Equations (399) can reduce 403 to:
% 36.77/10.33 | (404) ~ (unit = e1)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (133), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (405) ~ (all_0_72_72 = e3)
% 36.77/10.33 |
% 36.77/10.33 | Equations (399) can reduce 405 to:
% 36.77/10.33 | (406) ~ (unit = e3)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (24), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (407) all_0_72_72 = e3
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,407) yields a new equation:
% 36.77/10.33 | (408) unit = e3
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 408 yields:
% 36.77/10.33 | (409) unit = e3
% 36.77/10.33 |
% 36.77/10.33 | Equations (409) can reduce 406 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (405) ~ (all_0_72_72 = e3)
% 36.77/10.33 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (412), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (413) all_0_72_72 = e2
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,413) yields a new equation:
% 36.77/10.33 | (414) unit = e2
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 414 yields:
% 36.77/10.33 | (415) unit = e2
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (415,363) yields a new equation:
% 36.77/10.33 | (416) all_0_87_87 = e2
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (415,317) yields a new equation:
% 36.77/10.33 | (417) all_0_82_82 = e2
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (415,400) yields a new equation:
% 36.77/10.33 | (418) all_0_77_77 = e2
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (147), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (419) ~ (all_0_72_72 = e2)
% 36.77/10.33 |
% 36.77/10.33 | Equations (413) can reduce 419 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (413) all_0_72_72 = e2
% 36.77/10.33 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (422), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (423) ~ (all_0_77_77 = e2)
% 36.77/10.33 |
% 36.77/10.33 | Equations (418) can reduce 423 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (418) all_0_77_77 = e2
% 36.77/10.33 | (426) ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (426), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (427) ~ (all_0_82_82 = e2)
% 36.77/10.33 |
% 36.77/10.33 | Equations (417) can reduce 427 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (417) all_0_82_82 = e2
% 36.77/10.33 | (430) ~ (all_0_87_87 = e2)
% 36.77/10.33 |
% 36.77/10.33 | Equations (416) can reduce 430 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (419) ~ (all_0_72_72 = e2)
% 36.77/10.33 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (433), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (434) all_0_72_72 = e1
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,434) yields a new equation:
% 36.77/10.33 | (435) unit = e1
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 435 yields:
% 36.77/10.33 | (436) unit = e1
% 36.77/10.33 |
% 36.77/10.33 | Equations (436) can reduce 404 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (403) ~ (all_0_72_72 = e1)
% 36.77/10.33 | (439) all_0_72_72 = e0
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,439) yields a new equation:
% 36.77/10.33 | (440) unit = e0
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 440 yields:
% 36.77/10.33 | (441) unit = e0
% 36.77/10.33 |
% 36.77/10.33 | Equations (441) can reduce 402 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (407) all_0_72_72 = e3
% 36.77/10.33 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,407) yields a new equation:
% 36.77/10.33 | (408) unit = e3
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 408 yields:
% 36.77/10.33 | (409) unit = e3
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (409,363) yields a new equation:
% 36.77/10.33 | (447) all_0_87_87 = e3
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (409,317) yields a new equation:
% 36.77/10.33 | (448) all_0_82_82 = e3
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (409,400) yields a new equation:
% 36.77/10.33 | (449) all_0_77_77 = e3
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (444), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (450) ~ (all_0_77_77 = e3)
% 36.77/10.33 |
% 36.77/10.33 | Equations (449) can reduce 450 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (449) all_0_77_77 = e3
% 36.77/10.33 | (453) ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (453), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (454) ~ (all_0_82_82 = e3)
% 36.77/10.33 |
% 36.77/10.33 | Equations (448) can reduce 454 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (448) all_0_82_82 = e3
% 36.77/10.33 | (457) ~ (all_0_87_87 = e3)
% 36.77/10.33 |
% 36.77/10.33 | Equations (447) can reduce 457 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (434) all_0_72_72 = e1
% 36.77/10.33 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,434) yields a new equation:
% 36.77/10.33 | (435) unit = e1
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 435 yields:
% 36.77/10.33 | (436) unit = e1
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (436,363) yields a new equation:
% 36.77/10.33 | (463) all_0_87_87 = e1
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (436,317) yields a new equation:
% 36.77/10.33 | (464) all_0_82_82 = e1
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (436,400) yields a new equation:
% 36.77/10.33 | (465) all_0_77_77 = e1
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (460), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (466) ~ (all_0_77_77 = e1)
% 36.77/10.33 |
% 36.77/10.33 | Equations (465) can reduce 466 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (465) all_0_77_77 = e1
% 36.77/10.33 | (469) ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (469), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (470) ~ (all_0_82_82 = e1)
% 36.77/10.33 |
% 36.77/10.33 | Equations (464) can reduce 470 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (464) all_0_82_82 = e1
% 36.77/10.33 | (473) ~ (all_0_87_87 = e1)
% 36.77/10.33 |
% 36.77/10.33 | Equations (463) can reduce 473 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (439) all_0_72_72 = e0
% 36.77/10.33 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (399,439) yields a new equation:
% 36.77/10.33 | (440) unit = e0
% 36.77/10.33 |
% 36.77/10.33 | Simplifying 440 yields:
% 36.77/10.33 | (441) unit = e0
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (441,363) yields a new equation:
% 36.77/10.33 | (479) all_0_87_87 = e0
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (441,317) yields a new equation:
% 36.77/10.33 | (480) all_0_82_82 = e0
% 36.77/10.33 |
% 36.77/10.33 | Combining equations (441,400) yields a new equation:
% 36.77/10.33 | (481) all_0_77_77 = e0
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (476), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (482) ~ (all_0_77_77 = e0)
% 36.77/10.33 |
% 36.77/10.33 | Equations (481) can reduce 482 to:
% 36.77/10.33 | (304) $false
% 36.77/10.33 |
% 36.77/10.33 |-The branch is then unsatisfiable
% 36.77/10.33 |-Branch two:
% 36.77/10.33 | (481) all_0_77_77 = e0
% 36.77/10.33 | (485) ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 36.77/10.33 |
% 36.77/10.33 +-Applying beta-rule and splitting (485), into two cases.
% 36.77/10.33 |-Branch one:
% 36.77/10.33 | (486) ~ (all_0_82_82 = e0)
% 36.77/10.33 |
% 36.77/10.33 | Equations (480) can reduce 486 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (480) all_0_82_82 = e0
% 36.83/10.33 | (489) ~ (all_0_87_87 = e0)
% 36.83/10.33 |
% 36.83/10.33 | Equations (479) can reduce 489 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (491) ~ (all_0_4_4 = e3)
% 36.83/10.33 | (492) all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 36.83/10.33 |
% 36.83/10.33 +-Applying beta-rule and splitting (492), into two cases.
% 36.83/10.33 |-Branch one:
% 36.83/10.33 | (493) all_0_4_4 = e2
% 36.83/10.33 |
% 36.83/10.33 | Equations (493) can reduce 395 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (395) ~ (all_0_4_4 = e2)
% 36.83/10.33 | (496) all_0_4_4 = e1 | all_0_4_4 = e0
% 36.83/10.33 |
% 36.83/10.33 +-Applying beta-rule and splitting (496), into two cases.
% 36.83/10.33 |-Branch one:
% 36.83/10.33 | (497) all_0_4_4 = e1
% 36.83/10.33 |
% 36.83/10.33 | Equations (497) can reduce 312 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (312) ~ (all_0_4_4 = e1)
% 36.83/10.33 | (500) all_0_4_4 = e0
% 36.83/10.33 |
% 36.83/10.33 | Equations (500) can reduce 360 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (502) ~ (all_0_5_5 = e2)
% 36.83/10.33 | (503) all_0_5_5 = e1 | all_0_5_5 = e0
% 36.83/10.33 |
% 36.83/10.33 +-Applying beta-rule and splitting (503), into two cases.
% 36.83/10.33 |-Branch one:
% 36.83/10.33 | (504) all_0_5_5 = e1
% 36.83/10.33 |
% 36.83/10.33 | Equations (504) can reduce 313 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (313) ~ (all_0_5_5 = e1)
% 36.83/10.33 | (507) all_0_5_5 = e0
% 36.83/10.33 |
% 36.83/10.33 | Equations (507) can reduce 298 to:
% 36.83/10.33 | (304) $false
% 36.83/10.33 |
% 36.83/10.33 |-The branch is then unsatisfiable
% 36.83/10.33 |-Branch two:
% 36.83/10.33 | (390) all_0_5_5 = e3
% 36.83/10.33 | (493) all_0_4_4 = e2
% 36.83/10.33 |
% 36.83/10.33 | From (493) and (289) follows:
% 36.83/10.33 | (511) op(e3, e2) = unit
% 36.83/10.33 |
% 36.83/10.33 | From (390) and (197) follows:
% 36.83/10.33 | (512) op(e2, e3) = unit
% 36.83/10.33 |
% 36.83/10.33 | Instantiating formula (268) with e3, e2, unit, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = unit, yields:
% 36.83/10.33 | (513) all_0_73_73 = unit
% 36.83/10.33 |
% 36.83/10.33 | Instantiating formula (268) with e2, e3, unit, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = unit, yields:
% 36.83/10.33 | (514) all_0_76_76 = unit
% 36.83/10.33 |
% 36.83/10.33 | Equations (514) can reduce 249 to:
% 36.83/10.33 | (515) ~ (all_0_72_72 = unit)
% 36.83/10.33 |
% 36.83/10.33 | Equations (513) can reduce 199 to:
% 36.83/10.33 | (516) ~ (all_0_74_74 = unit)
% 36.83/10.33 |
% 36.83/10.33 | Simplifying 516 yields:
% 36.83/10.33 | (517) ~ (all_0_74_74 = unit)
% 36.83/10.33 |
% 36.83/10.33 | Equations (513) can reduce 106 to:
% 36.83/10.33 | (518) ~ (all_0_75_75 = unit)
% 36.83/10.33 |
% 36.83/10.34 | Simplifying 518 yields:
% 36.83/10.34 | (519) ~ (all_0_75_75 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (513) can reduce 185 to:
% 36.83/10.34 | (520) ~ (all_0_81_81 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 520 yields:
% 36.83/10.34 | (521) ~ (all_0_81_81 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (513) can reduce 296 to:
% 36.83/10.34 | (522) ~ (all_0_85_85 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 522 yields:
% 36.83/10.34 | (523) ~ (all_0_85_85 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (514) can reduce 96 to:
% 36.83/10.34 | (524) ~ (all_0_77_77 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 524 yields:
% 36.83/10.34 | (525) ~ (all_0_77_77 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (514) can reduce 204 to:
% 36.83/10.34 | (526) ~ (all_0_78_78 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 526 yields:
% 36.83/10.34 | (527) ~ (all_0_78_78 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (514) can reduce 297 to:
% 36.83/10.34 | (528) ~ (all_0_79_79 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 528 yields:
% 36.83/10.34 | (529) ~ (all_0_79_79 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (514) can reduce 173 to:
% 36.83/10.34 | (530) ~ (all_0_80_80 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 530 yields:
% 36.83/10.34 | (531) ~ (all_0_80_80 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (514) can reduce 202 to:
% 36.83/10.34 | (532) ~ (all_0_84_84 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 532 yields:
% 36.83/10.34 | (533) ~ (all_0_84_84 = unit)
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (295) follows:
% 36.83/10.34 | (534) op(unit, e3) = all_0_12_12
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (254) follows:
% 36.83/10.34 | (535) op(unit, e2) = all_0_13_13
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (92) follows:
% 36.83/10.34 | (536) op(unit, e1) = all_0_14_14
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (121) follows:
% 36.83/10.34 | (537) op(unit, e0) = all_0_15_15
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (270) follows:
% 36.83/10.34 | (538) op(unit, e3) = all_0_24_24
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (68) follows:
% 36.83/10.34 | (539) op(unit, e2) = all_0_25_25
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (192) follows:
% 36.83/10.34 | (540) op(unit, e1) = all_0_26_26
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (99) follows:
% 36.83/10.34 | (541) op(unit, e0) = all_0_27_27
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (137) follows:
% 36.83/10.34 | (542) op(e3, unit) = all_0_9_9
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (273) follows:
% 36.83/10.34 | (543) op(e3, unit) = all_0_12_12
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (208) follows:
% 36.83/10.34 | (512) op(e2, e3) = unit
% 36.83/10.34 |
% 36.83/10.34 | From (513) and (56) follows:
% 36.83/10.34 | (545) op(e0, unit) = all_0_57_57
% 36.83/10.34 |
% 36.83/10.34 | From (514) and (210) follows:
% 36.83/10.34 | (546) op(e0, unit) = all_0_60_60
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e3, all_0_24_24, all_0_12_12 and discharging atoms op(unit, e3) = all_0_12_12, op(unit, e3) = all_0_24_24, yields:
% 36.83/10.34 | (547) all_0_12_12 = all_0_24_24
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e2, all_0_13_13, e2 and discharging atoms op(unit, e2) = all_0_13_13, op(unit, e2) = e2, yields:
% 36.83/10.34 | (548) all_0_13_13 = e2
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e2, all_0_25_25, all_0_13_13 and discharging atoms op(unit, e2) = all_0_13_13, op(unit, e2) = all_0_25_25, yields:
% 36.83/10.34 | (549) all_0_13_13 = all_0_25_25
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e1, all_0_14_14, e1 and discharging atoms op(unit, e1) = all_0_14_14, op(unit, e1) = e1, yields:
% 36.83/10.34 | (550) all_0_14_14 = e1
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e1, all_0_26_26, all_0_14_14 and discharging atoms op(unit, e1) = all_0_14_14, op(unit, e1) = all_0_26_26, yields:
% 36.83/10.34 | (551) all_0_14_14 = all_0_26_26
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e0, all_0_15_15, e0 and discharging atoms op(unit, e0) = all_0_15_15, op(unit, e0) = e0, yields:
% 36.83/10.34 | (552) all_0_15_15 = e0
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with unit, e0, all_0_27_27, all_0_15_15 and discharging atoms op(unit, e0) = all_0_15_15, op(unit, e0) = all_0_27_27, yields:
% 36.83/10.34 | (553) all_0_15_15 = all_0_27_27
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e3, unit, all_0_9_9, e3 and discharging atoms op(e3, unit) = all_0_9_9, op(e3, unit) = e3, yields:
% 36.83/10.34 | (554) all_0_9_9 = e3
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e3, unit, all_0_12_12, all_0_9_9 and discharging atoms op(e3, unit) = all_0_9_9, op(e3, unit) = all_0_12_12, yields:
% 36.83/10.34 | (555) all_0_9_9 = all_0_12_12
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, unit, all_0_57_57, e0 and discharging atoms op(e0, unit) = all_0_57_57, op(e0, unit) = e0, yields:
% 36.83/10.34 | (556) all_0_57_57 = e0
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, unit, all_0_60_60, all_0_57_57 and discharging atoms op(e0, unit) = all_0_57_57, op(e0, unit) = all_0_60_60, yields:
% 36.83/10.34 | (557) all_0_57_57 = all_0_60_60
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (554,555) yields a new equation:
% 36.83/10.34 | (558) all_0_12_12 = e3
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (558,547) yields a new equation:
% 36.83/10.34 | (559) all_0_24_24 = e3
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (548,549) yields a new equation:
% 36.83/10.34 | (560) all_0_25_25 = e2
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (550,551) yields a new equation:
% 36.83/10.34 | (561) all_0_26_26 = e1
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (552,553) yields a new equation:
% 36.83/10.34 | (562) all_0_27_27 = e0
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (556,557) yields a new equation:
% 36.83/10.34 | (563) all_0_60_60 = e0
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (560,549) yields a new equation:
% 36.83/10.34 | (548) all_0_13_13 = e2
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (559,547) yields a new equation:
% 36.83/10.34 | (558) all_0_12_12 = e3
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (558,555) yields a new equation:
% 36.83/10.34 | (554) all_0_9_9 = e3
% 36.83/10.34 |
% 36.83/10.34 | From (554) and (3) follows:
% 36.83/10.34 | (567) op(all_0_72_72, e2) = e3
% 36.83/10.34 |
% 36.83/10.34 | From (559) and (538) follows:
% 36.83/10.34 | (256) op(unit, e3) = e3
% 36.83/10.34 |
% 36.83/10.34 | From (548) and (108) follows:
% 36.83/10.34 | (569) op(e3, all_0_77_77) = e2
% 36.83/10.34 |
% 36.83/10.34 | From (559) and (149) follows:
% 36.83/10.34 | (570) op(e2, all_0_72_72) = e3
% 36.83/10.34 |
% 36.83/10.34 | From (561) and (285) follows:
% 36.83/10.34 | (571) op(e2, all_0_74_74) = e1
% 36.83/10.34 |
% 36.83/10.34 | From (562) and (53) follows:
% 36.83/10.34 | (572) op(e2, all_0_75_75) = e0
% 36.83/10.34 |
% 36.83/10.34 | From (563) and (546) follows:
% 36.83/10.34 | (8) op(e0, unit) = e0
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (275), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (574) ~ (all_0_2_2 = e0)
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (27), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (575) ~ (all_0_2_2 = e1)
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (133), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (405) ~ (all_0_72_72 = e3)
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (24), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (407) all_0_72_72 = e3
% 36.83/10.34 |
% 36.83/10.34 | Equations (407) can reduce 405 to:
% 36.83/10.34 | (304) $false
% 36.83/10.34 |
% 36.83/10.34 |-The branch is then unsatisfiable
% 36.83/10.34 |-Branch two:
% 36.83/10.34 | (405) ~ (all_0_72_72 = e3)
% 36.83/10.34 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (230), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (403) ~ (all_0_72_72 = e1)
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (147), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (412), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (413) all_0_72_72 = e2
% 36.83/10.34 |
% 36.83/10.34 | Equations (413) can reduce 419 to:
% 36.83/10.34 | (304) $false
% 36.83/10.34 |
% 36.83/10.34 |-The branch is then unsatisfiable
% 36.83/10.34 |-Branch two:
% 36.83/10.34 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.34 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.34 |
% 36.83/10.34 +-Applying beta-rule and splitting (433), into two cases.
% 36.83/10.34 |-Branch one:
% 36.83/10.34 | (434) all_0_72_72 = e1
% 36.83/10.34 |
% 36.83/10.34 | Equations (434) can reduce 403 to:
% 36.83/10.34 | (304) $false
% 36.83/10.34 |
% 36.83/10.34 |-The branch is then unsatisfiable
% 36.83/10.34 |-Branch two:
% 36.83/10.34 | (403) ~ (all_0_72_72 = e1)
% 36.83/10.34 | (439) all_0_72_72 = e0
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (4) follows:
% 36.83/10.34 | (591) op(e0, e3) = all_0_8_8
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (567) follows:
% 36.83/10.34 | (592) op(e0, e2) = e3
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (128) follows:
% 36.83/10.34 | (593) op(e0, e0) = all_0_11_11
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (2) follows:
% 36.83/10.34 | (594) op(e3, e0) = all_0_8_8
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (570) follows:
% 36.83/10.34 | (595) op(e2, e0) = e3
% 36.83/10.34 |
% 36.83/10.34 | From (439) and (196) follows:
% 36.83/10.34 | (596) op(e0, e0) = all_0_56_56
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 36.83/10.34 | (597) all_0_8_8 = all_0_75_75
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 36.83/10.34 | (598) all_0_79_79 = e3
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 36.83/10.34 | (599) all_0_8_8 = all_0_84_84
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 36.83/10.34 | (600) all_0_85_85 = e3
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 36.83/10.34 | (601) all_0_11_11 = unit
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 36.83/10.34 | (602) all_0_11_11 = all_0_56_56
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (597,599) yields a new equation:
% 36.83/10.34 | (603) all_0_75_75 = all_0_84_84
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 603 yields:
% 36.83/10.34 | (604) all_0_75_75 = all_0_84_84
% 36.83/10.34 |
% 36.83/10.34 | Combining equations (601,602) yields a new equation:
% 36.83/10.34 | (605) all_0_56_56 = unit
% 36.83/10.34 |
% 36.83/10.34 | Equations (604) can reduce 519 to:
% 36.83/10.34 | (533) ~ (all_0_84_84 = unit)
% 36.83/10.34 |
% 36.83/10.34 | Equations (600) can reduce 523 to:
% 36.83/10.34 | (607) ~ (unit = e3)
% 36.83/10.34 |
% 36.83/10.34 | Simplifying 607 yields:
% 36.83/10.34 | (406) ~ (unit = e3)
% 36.83/10.34 |
% 36.83/10.34 | From (599) and (89) follows:
% 36.83/10.34 | (609) op(all_0_84_84, e3) = all_0_2_2
% 36.83/10.34 |
% 36.83/10.34 | From (605) and (259) follows:
% 36.83/10.34 | (610) op(all_0_84_84, e3) = unit
% 36.83/10.34 |
% 36.83/10.34 | From (598) and (111) follows:
% 36.83/10.34 | (611) op(e0, e3) = all_0_63_63
% 36.83/10.34 |
% 36.83/10.34 | From (600) and (384) follows:
% 36.83/10.34 | (612) op(e0, e3) = e2
% 36.83/10.34 |
% 36.83/10.34 | From (599) and (591) follows:
% 36.83/10.34 | (194) op(e0, e3) = all_0_84_84
% 36.83/10.34 |
% 36.83/10.34 | Instantiating formula (268) with all_0_84_84, e3, unit, all_0_2_2 and discharging atoms op(all_0_84_84, e3) = all_0_2_2, op(all_0_84_84, e3) = unit, yields:
% 36.83/10.34 | (614) all_0_2_2 = unit
% 36.83/10.34 |
% 36.83/10.35 | Instantiating formula (268) with e0, e3, all_0_63_63, all_0_84_84 and discharging atoms op(e0, e3) = all_0_63_63, op(e0, e3) = all_0_84_84, yields:
% 36.83/10.35 | (615) all_0_63_63 = all_0_84_84
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e0, e3, e2, all_0_63_63 and discharging atoms op(e0, e3) = all_0_63_63, op(e0, e3) = e2, yields:
% 36.83/10.35 | (616) all_0_63_63 = e2
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (615,616) yields a new equation:
% 36.83/10.35 | (617) all_0_84_84 = e2
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 617 yields:
% 36.83/10.35 | (618) all_0_84_84 = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (614) can reduce 575 to:
% 36.83/10.35 | (404) ~ (unit = e1)
% 36.83/10.35 |
% 36.83/10.35 | Equations (614) can reduce 574 to:
% 36.83/10.35 | (402) ~ (unit = e0)
% 36.83/10.35 |
% 36.83/10.35 | Equations (618) can reduce 533 to:
% 36.83/10.35 | (621) ~ (unit = e2)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 621 yields:
% 36.83/10.35 | (622) ~ (unit = e2)
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (34), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (447) all_0_87_87 = e3
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (447,363) yields a new equation:
% 36.83/10.35 | (409) unit = e3
% 36.83/10.35 |
% 36.83/10.35 | Equations (409) can reduce 406 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (457) ~ (all_0_87_87 = e3)
% 36.83/10.35 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (627), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (416) all_0_87_87 = e2
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (416,363) yields a new equation:
% 36.83/10.35 | (415) unit = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (415) can reduce 622 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (430) ~ (all_0_87_87 = e2)
% 36.83/10.35 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (632), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (463) all_0_87_87 = e1
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (463,363) yields a new equation:
% 36.83/10.35 | (436) unit = e1
% 36.83/10.35 |
% 36.83/10.35 | Equations (436) can reduce 404 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (473) ~ (all_0_87_87 = e1)
% 36.83/10.35 | (479) all_0_87_87 = e0
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (479,363) yields a new equation:
% 36.83/10.35 | (441) unit = e0
% 36.83/10.35 |
% 36.83/10.35 | Equations (441) can reduce 402 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (413) all_0_72_72 = e2
% 36.83/10.35 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Equations (413) can reduce 134 to:
% 36.83/10.35 | (642) ~ (all_0_74_74 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 642 yields:
% 36.83/10.35 | (643) ~ (all_0_74_74 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Equations (413) can reduce 64 to:
% 36.83/10.35 | (644) ~ (all_0_75_75 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 644 yields:
% 36.83/10.35 | (645) ~ (all_0_75_75 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Equations (413) can reduce 515 to:
% 36.83/10.35 | (621) ~ (unit = e2)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 621 yields:
% 36.83/10.35 | (622) ~ (unit = e2)
% 36.83/10.35 |
% 36.83/10.35 | From (413) and (4) follows:
% 36.83/10.35 | (648) op(e2, e3) = all_0_8_8
% 36.83/10.35 |
% 36.83/10.35 | From (413) and (35) follows:
% 36.83/10.35 | (649) op(e2, e1) = all_0_10_10
% 36.83/10.35 |
% 36.83/10.35 | From (413) and (128) follows:
% 36.83/10.35 | (650) op(e2, e0) = all_0_11_11
% 36.83/10.35 |
% 36.83/10.35 | From (413) and (570) follows:
% 36.83/10.35 | (651) op(e2, e2) = e3
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e3, all_0_8_8, unit and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = unit, yields:
% 36.83/10.35 | (652) all_0_8_8 = unit
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e2, e3, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = e3, yields:
% 36.83/10.35 | (449) all_0_77_77 = e3
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e1, all_0_10_10, all_0_78_78 and discharging atoms op(e2, e1) = all_0_10_10, op(e2, e1) = all_0_78_78, yields:
% 36.83/10.35 | (654) all_0_10_10 = all_0_78_78
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e0, all_0_11_11, all_0_79_79 and discharging atoms op(e2, e0) = all_0_11_11, op(e2, e0) = all_0_79_79, yields:
% 36.83/10.35 | (655) all_0_11_11 = all_0_79_79
% 36.83/10.35 |
% 36.83/10.35 | Equations (449) can reduce 198 to:
% 36.83/10.35 | (656) ~ (all_0_78_78 = e3)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 656 yields:
% 36.83/10.35 | (657) ~ (all_0_78_78 = e3)
% 36.83/10.35 |
% 36.83/10.35 | Equations (449) can reduce 222 to:
% 36.83/10.35 | (658) ~ (all_0_79_79 = e3)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 658 yields:
% 36.83/10.35 | (659) ~ (all_0_79_79 = e3)
% 36.83/10.35 |
% 36.83/10.35 | Equations (449) can reduce 525 to:
% 36.83/10.35 | (607) ~ (unit = e3)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 607 yields:
% 36.83/10.35 | (406) ~ (unit = e3)
% 36.83/10.35 |
% 36.83/10.35 | From (449) and (80) follows:
% 36.83/10.35 | (662) op(e3, e1) = all_0_30_30
% 36.83/10.35 |
% 36.83/10.35 | From (654) and (70) follows:
% 36.83/10.35 | (663) op(e3, all_0_74_74) = all_0_78_78
% 36.83/10.35 |
% 36.83/10.35 | From (655) and (100) follows:
% 36.83/10.35 | (664) op(e3, all_0_75_75) = all_0_79_79
% 36.83/10.35 |
% 36.83/10.35 | From (449) and (569) follows:
% 36.83/10.35 | (665) op(e3, e3) = e2
% 36.83/10.35 |
% 36.83/10.35 | From (449) and (14) follows:
% 36.83/10.35 | (666) op(e2, e3) = all_0_29_29
% 36.83/10.35 |
% 36.83/10.35 | From (652) and (648) follows:
% 36.83/10.35 | (512) op(e2, e3) = unit
% 36.83/10.35 |
% 36.83/10.35 | From (449) and (41) follows:
% 36.83/10.35 | (651) op(e2, e2) = e3
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e3, e1, all_0_30_30, all_0_74_74 and discharging atoms op(e3, e1) = all_0_30_30, op(e3, e1) = all_0_74_74, yields:
% 36.83/10.35 | (669) all_0_30_30 = all_0_74_74
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e3, all_0_29_29, unit and discharging atoms op(e2, e3) = all_0_29_29, op(e2, e3) = unit, yields:
% 36.83/10.35 | (670) all_0_29_29 = unit
% 36.83/10.35 |
% 36.83/10.35 | From (669) and (264) follows:
% 36.83/10.35 | (671) op(e2, all_0_78_78) = all_0_74_74
% 36.83/10.35 |
% 36.83/10.35 | From (670) and (666) follows:
% 36.83/10.35 | (512) op(e2, e3) = unit
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (19), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (673) all_0_76_76 = e3
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (514,673) yields a new equation:
% 36.83/10.35 | (408) unit = e3
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 408 yields:
% 36.83/10.35 | (409) unit = e3
% 36.83/10.35 |
% 36.83/10.35 | Equations (409) can reduce 406 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (677) ~ (all_0_76_76 = e3)
% 36.83/10.35 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (74), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (679) all_0_75_75 = e3
% 36.83/10.35 |
% 36.83/10.35 | Equations (679) can reduce 140 to:
% 36.83/10.35 | (680) ~ (all_0_74_74 = e3)
% 36.83/10.35 |
% 36.83/10.35 | From (679) and (15) follows:
% 36.83/10.35 | (681) op(e3, e3) = all_0_20_20
% 36.83/10.35 |
% 36.83/10.35 | From (679) and (664) follows:
% 36.83/10.35 | (682) op(e3, e3) = all_0_79_79
% 36.83/10.35 |
% 36.83/10.35 | From (679) and (572) follows:
% 36.83/10.35 | (683) op(e2, e3) = e0
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e3, e3, all_0_20_20, e2 and discharging atoms op(e3, e3) = all_0_20_20, op(e3, e3) = e2, yields:
% 36.83/10.35 | (684) all_0_20_20 = e2
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e3, e3, all_0_79_79, all_0_20_20 and discharging atoms op(e3, e3) = all_0_20_20, op(e3, e3) = all_0_79_79, yields:
% 36.83/10.35 | (685) all_0_20_20 = all_0_79_79
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e3, e0, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e0, yields:
% 36.83/10.35 | (441) unit = e0
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (684,685) yields a new equation:
% 36.83/10.35 | (687) all_0_79_79 = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (441) can reduce 517 to:
% 36.83/10.35 | (688) ~ (all_0_74_74 = e0)
% 36.83/10.35 |
% 36.83/10.35 | Equations (687) can reduce 25 to:
% 36.83/10.35 | (689) ~ (all_0_78_78 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Equations (441) can reduce 527 to:
% 36.83/10.35 | (690) ~ (all_0_78_78 = e0)
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (11), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (691) all_0_74_74 = e3
% 36.83/10.35 |
% 36.83/10.35 | Equations (691) can reduce 680 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (680) ~ (all_0_74_74 = e3)
% 36.83/10.35 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (50), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (695) all_0_78_78 = e3
% 36.83/10.35 |
% 36.83/10.35 | Equations (695) can reduce 657 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (657) ~ (all_0_78_78 = e3)
% 36.83/10.35 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (694), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (699) all_0_74_74 = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (699) can reduce 643 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (643) ~ (all_0_74_74 = e2)
% 36.83/10.35 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (698), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (703) all_0_78_78 = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (703) can reduce 689 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (689) ~ (all_0_78_78 = e2)
% 36.83/10.35 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (702), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (707) all_0_74_74 = e1
% 36.83/10.35 |
% 36.83/10.35 | Equations (707) can reduce 38 to:
% 36.83/10.35 | (708) ~ (all_0_78_78 = e1)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 708 yields:
% 36.83/10.35 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (706), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (710) all_0_78_78 = e1
% 36.83/10.35 |
% 36.83/10.35 | Equations (710) can reduce 709 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.35 | (713) all_0_78_78 = e0
% 36.83/10.35 |
% 36.83/10.35 | Equations (713) can reduce 690 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.35 | (716) all_0_74_74 = e0
% 36.83/10.35 |
% 36.83/10.35 | Equations (716) can reduce 688 to:
% 36.83/10.35 | (304) $false
% 36.83/10.35 |
% 36.83/10.35 |-The branch is then unsatisfiable
% 36.83/10.35 |-Branch two:
% 36.83/10.35 | (718) ~ (all_0_75_75 = e3)
% 36.83/10.35 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 36.83/10.35 |
% 36.83/10.35 +-Applying beta-rule and splitting (11), into two cases.
% 36.83/10.35 |-Branch one:
% 36.83/10.35 | (691) all_0_74_74 = e3
% 36.83/10.35 |
% 36.83/10.35 | From (691) and (67) follows:
% 36.83/10.35 | (721) op(e3, e3) = all_0_16_16
% 36.83/10.35 |
% 36.83/10.35 | From (691) and (663) follows:
% 36.83/10.35 | (722) op(e3, e3) = all_0_78_78
% 36.83/10.35 |
% 36.83/10.35 | From (691) and (571) follows:
% 36.83/10.35 | (723) op(e2, e3) = e1
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e3, e3, all_0_16_16, e2 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e2, yields:
% 36.83/10.35 | (724) all_0_16_16 = e2
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e3, e3, all_0_78_78, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_78_78, yields:
% 36.83/10.35 | (725) all_0_16_16 = all_0_78_78
% 36.83/10.35 |
% 36.83/10.35 | Instantiating formula (268) with e2, e3, e1, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e1, yields:
% 36.83/10.35 | (436) unit = e1
% 36.83/10.35 |
% 36.83/10.35 | Combining equations (724,725) yields a new equation:
% 36.83/10.35 | (703) all_0_78_78 = e2
% 36.83/10.35 |
% 36.83/10.35 | Equations (436) can reduce 519 to:
% 36.83/10.35 | (728) ~ (all_0_75_75 = e1)
% 36.83/10.35 |
% 36.83/10.35 | Equations (703) can reduce 25 to:
% 36.83/10.35 | (729) ~ (all_0_79_79 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Simplifying 729 yields:
% 36.83/10.35 | (730) ~ (all_0_79_79 = e2)
% 36.83/10.35 |
% 36.83/10.35 | Equations (436) can reduce 529 to:
% 36.83/10.36 | (731) ~ (all_0_79_79 = e1)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (184), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (598) all_0_79_79 = e3
% 36.83/10.36 |
% 36.83/10.36 | Equations (598) can reduce 659 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (659) ~ (all_0_79_79 = e3)
% 36.83/10.36 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (719), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (736) all_0_75_75 = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (736) can reduce 645 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (645) ~ (all_0_75_75 = e2)
% 36.83/10.36 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (739), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (740) all_0_75_75 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (740) can reduce 728 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (728) ~ (all_0_75_75 = e1)
% 36.83/10.36 | (743) all_0_75_75 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (743) can reduce 118 to:
% 36.83/10.36 | (744) ~ (all_0_79_79 = e0)
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 744 yields:
% 36.83/10.36 | (745) ~ (all_0_79_79 = e0)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (735), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (687) all_0_79_79 = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (687) can reduce 730 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (730) ~ (all_0_79_79 = e2)
% 36.83/10.36 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (749), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (750) all_0_79_79 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (750) can reduce 731 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (731) ~ (all_0_79_79 = e1)
% 36.83/10.36 | (753) all_0_79_79 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (753) can reduce 745 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (680) ~ (all_0_74_74 = e3)
% 36.83/10.36 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (50), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (695) all_0_78_78 = e3
% 36.83/10.36 |
% 36.83/10.36 | Equations (695) can reduce 657 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (657) ~ (all_0_78_78 = e3)
% 36.83/10.36 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (678), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (761) all_0_76_76 = e2
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (514,761) yields a new equation:
% 36.83/10.36 | (414) unit = e2
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 414 yields:
% 36.83/10.36 | (415) unit = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (415) can reduce 622 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (765) ~ (all_0_76_76 = e2)
% 36.83/10.36 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (694), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (699) all_0_74_74 = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (699) can reduce 643 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (643) ~ (all_0_74_74 = e2)
% 36.83/10.36 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (698), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (703) all_0_78_78 = e2
% 36.83/10.36 |
% 36.83/10.36 | From (703) and (62) follows:
% 36.83/10.36 | (772) op(e2, e2) = all_0_33_33
% 36.83/10.36 |
% 36.83/10.36 | From (703) and (671) follows:
% 36.83/10.36 | (773) op(e2, e2) = all_0_74_74
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e2, e2, all_0_33_33, e3 and discharging atoms op(e2, e2) = all_0_33_33, op(e2, e2) = e3, yields:
% 36.83/10.36 | (774) all_0_33_33 = e3
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e2, e2, all_0_74_74, all_0_33_33 and discharging atoms op(e2, e2) = all_0_33_33, op(e2, e2) = all_0_74_74, yields:
% 36.83/10.36 | (775) all_0_33_33 = all_0_74_74
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (775,774) yields a new equation:
% 36.83/10.36 | (776) all_0_74_74 = e3
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 776 yields:
% 36.83/10.36 | (691) all_0_74_74 = e3
% 36.83/10.36 |
% 36.83/10.36 | Equations (691) can reduce 680 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (689) ~ (all_0_78_78 = e2)
% 36.83/10.36 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (766), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (781) all_0_76_76 = e1
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (514,781) yields a new equation:
% 36.83/10.36 | (435) unit = e1
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 435 yields:
% 36.83/10.36 | (436) unit = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (436) can reduce 517 to:
% 36.83/10.36 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.36 |
% 36.83/10.36 | Equations (436) can reduce 527 to:
% 36.83/10.36 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (702), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (707) all_0_74_74 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (707) can reduce 715 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.36 | (716) all_0_74_74 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (716) can reduce 38 to:
% 36.83/10.36 | (790) ~ (all_0_78_78 = e0)
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 790 yields:
% 36.83/10.36 | (690) ~ (all_0_78_78 = e0)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (706), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (710) all_0_78_78 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (710) can reduce 709 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.36 | (713) all_0_78_78 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (713) can reduce 690 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (797) ~ (all_0_76_76 = e1)
% 36.83/10.36 | (798) all_0_76_76 = e0
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (514,798) yields a new equation:
% 36.83/10.36 | (440) unit = e0
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 440 yields:
% 36.83/10.36 | (441) unit = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (441) can reduce 517 to:
% 36.83/10.36 | (688) ~ (all_0_74_74 = e0)
% 36.83/10.36 |
% 36.83/10.36 | Equations (441) can reduce 527 to:
% 36.83/10.36 | (690) ~ (all_0_78_78 = e0)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (702), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (707) all_0_74_74 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (707) can reduce 38 to:
% 36.83/10.36 | (708) ~ (all_0_78_78 = e1)
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 708 yields:
% 36.83/10.36 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (706), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (710) all_0_78_78 = e1
% 36.83/10.36 |
% 36.83/10.36 | Equations (710) can reduce 709 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.36 | (713) all_0_78_78 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (713) can reduce 690 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.36 | (716) all_0_74_74 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (716) can reduce 688 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (434) all_0_72_72 = e1
% 36.83/10.36 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (4) follows:
% 36.83/10.36 | (816) op(e1, e3) = all_0_8_8
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (567) follows:
% 36.83/10.36 | (817) op(e1, e2) = e3
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (35) follows:
% 36.83/10.36 | (818) op(e1, e1) = all_0_10_10
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (2) follows:
% 36.83/10.36 | (819) op(e3, e1) = all_0_8_8
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (570) follows:
% 36.83/10.36 | (820) op(e2, e1) = e3
% 36.83/10.36 |
% 36.83/10.36 | From (434) and (82) follows:
% 36.83/10.36 | (821) op(e1, e1) = all_0_40_40
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 36.83/10.36 | (822) all_0_8_8 = all_0_74_74
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e2, e1, e3, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e3, yields:
% 36.83/10.36 | (695) all_0_78_78 = e3
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 36.83/10.36 | (824) all_0_8_8 = all_0_80_80
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 36.83/10.36 | (825) all_0_81_81 = e3
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 36.83/10.36 | (826) all_0_10_10 = unit
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e1, all_0_40_40, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = all_0_40_40, yields:
% 36.83/10.36 | (827) all_0_10_10 = all_0_40_40
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (822,824) yields a new equation:
% 36.83/10.36 | (828) all_0_74_74 = all_0_80_80
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 828 yields:
% 36.83/10.36 | (829) all_0_74_74 = all_0_80_80
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (826,827) yields a new equation:
% 36.83/10.36 | (830) all_0_40_40 = unit
% 36.83/10.36 |
% 36.83/10.36 | Equations (829) can reduce 517 to:
% 36.83/10.36 | (531) ~ (all_0_80_80 = unit)
% 36.83/10.36 |
% 36.83/10.36 | Equations (825) can reduce 521 to:
% 36.83/10.36 | (607) ~ (unit = e3)
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 607 yields:
% 36.83/10.36 | (406) ~ (unit = e3)
% 36.83/10.36 |
% 36.83/10.36 | From (824) and (89) follows:
% 36.83/10.36 | (834) op(all_0_80_80, e3) = all_0_2_2
% 36.83/10.36 |
% 36.83/10.36 | From (830) and (117) follows:
% 36.83/10.36 | (835) op(all_0_80_80, e3) = unit
% 36.83/10.36 |
% 36.83/10.36 | From (695) and (162) follows:
% 36.83/10.36 | (836) op(e1, e3) = all_0_46_46
% 36.83/10.36 |
% 36.83/10.36 | From (825) and (341) follows:
% 36.83/10.36 | (837) op(e1, e3) = e2
% 36.83/10.36 |
% 36.83/10.36 | From (824) and (816) follows:
% 36.83/10.36 | (213) op(e1, e3) = all_0_80_80
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with all_0_80_80, e3, unit, all_0_2_2 and discharging atoms op(all_0_80_80, e3) = all_0_2_2, op(all_0_80_80, e3) = unit, yields:
% 36.83/10.36 | (614) all_0_2_2 = unit
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e3, all_0_46_46, all_0_80_80 and discharging atoms op(e1, e3) = all_0_46_46, op(e1, e3) = all_0_80_80, yields:
% 36.83/10.36 | (840) all_0_46_46 = all_0_80_80
% 36.83/10.36 |
% 36.83/10.36 | Instantiating formula (268) with e1, e3, e2, all_0_46_46 and discharging atoms op(e1, e3) = all_0_46_46, op(e1, e3) = e2, yields:
% 36.83/10.36 | (841) all_0_46_46 = e2
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (840,841) yields a new equation:
% 36.83/10.36 | (842) all_0_80_80 = e2
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 842 yields:
% 36.83/10.36 | (843) all_0_80_80 = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (614) can reduce 575 to:
% 36.83/10.36 | (404) ~ (unit = e1)
% 36.83/10.36 |
% 36.83/10.36 | Equations (614) can reduce 574 to:
% 36.83/10.36 | (402) ~ (unit = e0)
% 36.83/10.36 |
% 36.83/10.36 | Equations (843) can reduce 531 to:
% 36.83/10.36 | (621) ~ (unit = e2)
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 621 yields:
% 36.83/10.36 | (622) ~ (unit = e2)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (241), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (448) all_0_82_82 = e3
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (317,448) yields a new equation:
% 36.83/10.36 | (408) unit = e3
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 408 yields:
% 36.83/10.36 | (409) unit = e3
% 36.83/10.36 |
% 36.83/10.36 | Equations (409) can reduce 406 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (454) ~ (all_0_82_82 = e3)
% 36.83/10.36 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (317) can reduce 454 to:
% 36.83/10.36 | (406) ~ (unit = e3)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (34), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (447) all_0_87_87 = e3
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (447,363) yields a new equation:
% 36.83/10.36 | (409) unit = e3
% 36.83/10.36 |
% 36.83/10.36 | Equations (409) can reduce 406 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (457) ~ (all_0_87_87 = e3)
% 36.83/10.36 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.36 |
% 36.83/10.36 | Equations (363) can reduce 457 to:
% 36.83/10.36 | (406) ~ (unit = e3)
% 36.83/10.36 |
% 36.83/10.36 +-Applying beta-rule and splitting (853), into two cases.
% 36.83/10.36 |-Branch one:
% 36.83/10.36 | (417) all_0_82_82 = e2
% 36.83/10.36 |
% 36.83/10.36 | Combining equations (317,417) yields a new equation:
% 36.83/10.36 | (414) unit = e2
% 36.83/10.36 |
% 36.83/10.36 | Simplifying 414 yields:
% 36.83/10.36 | (415) unit = e2
% 36.83/10.36 |
% 36.83/10.36 | Equations (415) can reduce 622 to:
% 36.83/10.36 | (304) $false
% 36.83/10.36 |
% 36.83/10.36 |-The branch is then unsatisfiable
% 36.83/10.36 |-Branch two:
% 36.83/10.36 | (427) ~ (all_0_82_82 = e2)
% 36.83/10.36 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (317) can reduce 427 to:
% 36.83/10.37 | (622) ~ (unit = e2)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (119), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 | (871) unit = e2 | unit = e1 | unit = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (627), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (416) all_0_87_87 = e2
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (416,363) yields a new equation:
% 36.83/10.37 | (415) unit = e2
% 36.83/10.37 |
% 36.83/10.37 | Equations (415) can reduce 622 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (430) ~ (all_0_87_87 = e2)
% 36.83/10.37 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (363) can reduce 430 to:
% 36.83/10.37 | (622) ~ (unit = e2)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (71), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (878) all_0_73_73 = e3
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,878) yields a new equation:
% 36.83/10.37 | (408) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 408 yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (882) ~ (all_0_73_73 = e3)
% 36.83/10.37 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (883), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (884) all_0_73_73 = e2
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,884) yields a new equation:
% 36.83/10.37 | (414) unit = e2
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 414 yields:
% 36.83/10.37 | (415) unit = e2
% 36.83/10.37 |
% 36.83/10.37 | Equations (415) can reduce 622 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (888) ~ (all_0_73_73 = e2)
% 36.83/10.37 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (889), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (890) all_0_73_73 = e1
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,890) yields a new equation:
% 36.83/10.37 | (435) unit = e1
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 435 yields:
% 36.83/10.37 | (436) unit = e1
% 36.83/10.37 |
% 36.83/10.37 | Equations (436) can reduce 404 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (894) ~ (all_0_73_73 = e1)
% 36.83/10.37 | (895) all_0_73_73 = e0
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,895) yields a new equation:
% 36.83/10.37 | (440) unit = e0
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 440 yields:
% 36.83/10.37 | (441) unit = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (441) can reduce 402 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (407) all_0_72_72 = e3
% 36.83/10.37 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 36.83/10.37 |
% 36.83/10.37 | Equations (407) can reduce 515 to:
% 36.83/10.37 | (607) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 607 yields:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | From (407) and (570) follows:
% 36.83/10.37 | (903) op(e2, e3) = e3
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e2, e3, e3, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e3, yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (906) all_0_2_2 = e1
% 36.83/10.37 | (907) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e2)
% 36.83/10.37 |
% 36.83/10.37 | From (906) and (89) follows:
% 36.83/10.37 | (908) op(all_0_8_8, e3) = e1
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (135), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (575) ~ (all_0_2_2 = e1)
% 36.83/10.37 |
% 36.83/10.37 | Equations (906) can reduce 575 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (906) all_0_2_2 = e1
% 36.83/10.37 | (912) ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e0)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (188), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (401) ~ (all_0_72_72 = e0)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (24), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (407) all_0_72_72 = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (407) can reduce 515 to:
% 36.83/10.37 | (607) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 607 yields:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | From (407) and (570) follows:
% 36.83/10.37 | (903) op(e2, e3) = e3
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e2, e3, e3, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e3, yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (405) ~ (all_0_72_72 = e3)
% 36.83/10.37 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (147), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (412), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (413) all_0_72_72 = e2
% 36.83/10.37 |
% 36.83/10.37 | Equations (413) can reduce 419 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.37 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (433), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (434) all_0_72_72 = e1
% 36.83/10.37 |
% 36.83/10.37 | Equations (434) can reduce 515 to:
% 36.83/10.37 | (928) ~ (unit = e1)
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 928 yields:
% 36.83/10.37 | (404) ~ (unit = e1)
% 36.83/10.37 |
% 36.83/10.37 | From (434) and (4) follows:
% 36.83/10.37 | (816) op(e1, e3) = all_0_8_8
% 36.83/10.37 |
% 36.83/10.37 | From (434) and (35) follows:
% 36.83/10.37 | (818) op(e1, e1) = all_0_10_10
% 36.83/10.37 |
% 36.83/10.37 | From (434) and (2) follows:
% 36.83/10.37 | (819) op(e3, e1) = all_0_8_8
% 36.83/10.37 |
% 36.83/10.37 | From (434) and (82) follows:
% 36.83/10.37 | (821) op(e1, e1) = all_0_40_40
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 36.83/10.37 | (822) all_0_8_8 = all_0_74_74
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 36.83/10.37 | (824) all_0_8_8 = all_0_80_80
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 36.83/10.37 | (826) all_0_10_10 = unit
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e1, e1, all_0_40_40, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = all_0_40_40, yields:
% 36.83/10.37 | (827) all_0_10_10 = all_0_40_40
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (822,824) yields a new equation:
% 36.83/10.37 | (828) all_0_74_74 = all_0_80_80
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 828 yields:
% 36.83/10.37 | (829) all_0_74_74 = all_0_80_80
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (826,827) yields a new equation:
% 36.83/10.37 | (830) all_0_40_40 = unit
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (830,827) yields a new equation:
% 36.83/10.37 | (826) all_0_10_10 = unit
% 36.83/10.37 |
% 36.83/10.37 | From (824) and (908) follows:
% 36.83/10.37 | (942) op(all_0_80_80, e3) = e1
% 36.83/10.37 |
% 36.83/10.37 | From (829) and (67) follows:
% 36.83/10.37 | (943) op(all_0_80_80, e3) = all_0_16_16
% 36.83/10.37 |
% 36.83/10.37 | From (829)(826) and (70) follows:
% 36.83/10.37 | (944) op(e3, all_0_80_80) = unit
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with all_0_80_80, e3, e1, all_0_16_16 and discharging atoms op(all_0_80_80, e3) = all_0_16_16, op(all_0_80_80, e3) = e1, yields:
% 36.83/10.37 | (945) all_0_16_16 = e1
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e3, all_0_80_80, unit, all_0_16_16 and discharging atoms op(e3, all_0_80_80) = all_0_16_16, op(e3, all_0_80_80) = unit, yields:
% 36.83/10.37 | (946) all_0_16_16 = unit
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (946,945) yields a new equation:
% 36.83/10.37 | (435) unit = e1
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 435 yields:
% 36.83/10.37 | (436) unit = e1
% 36.83/10.37 |
% 36.83/10.37 | Equations (436) can reduce 404 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (403) ~ (all_0_72_72 = e1)
% 36.83/10.37 | (439) all_0_72_72 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (439) can reduce 401 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (413) all_0_72_72 = e2
% 36.83/10.37 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 36.83/10.37 |
% 36.83/10.37 | Equations (413) can reduce 515 to:
% 36.83/10.37 | (621) ~ (unit = e2)
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 621 yields:
% 36.83/10.37 | (622) ~ (unit = e2)
% 36.83/10.37 |
% 36.83/10.37 | From (413) and (4) follows:
% 36.83/10.37 | (648) op(e2, e3) = all_0_8_8
% 36.83/10.37 |
% 36.83/10.37 | From (413) and (570) follows:
% 36.83/10.37 | (651) op(e2, e2) = e3
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (907), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (959) ~ (all_0_8_8 = e0)
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e2, e3, all_0_8_8, unit and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = unit, yields:
% 36.83/10.37 | (652) all_0_8_8 = unit
% 36.83/10.37 |
% 36.83/10.37 | Instantiating formula (268) with e2, e2, e3, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = e3, yields:
% 36.83/10.37 | (449) all_0_77_77 = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (652) can reduce 959 to:
% 36.83/10.37 | (402) ~ (unit = e0)
% 36.83/10.37 |
% 36.83/10.37 | Equations (449) can reduce 525 to:
% 36.83/10.37 | (607) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 607 yields:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 | From (652) and (908) follows:
% 36.83/10.37 | (965) op(unit, e3) = e1
% 36.83/10.37 |
% 36.83/10.37 | From (449) and (47) follows:
% 36.83/10.37 | (966) op(e1, e3) = all_0_45_45
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (19), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (673) all_0_76_76 = e3
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (514,673) yields a new equation:
% 36.83/10.37 | (408) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 408 yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (677) ~ (all_0_76_76 = e3)
% 36.83/10.37 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (514) can reduce 677 to:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (119), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 | (871) unit = e2 | unit = e1 | unit = e0
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (241), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (448) all_0_82_82 = e3
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (448,317) yields a new equation:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (454) ~ (all_0_82_82 = e3)
% 36.83/10.37 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (317) can reduce 454 to:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (34), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (447) all_0_87_87 = e3
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (363,447) yields a new equation:
% 36.83/10.37 | (408) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 408 yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (457) ~ (all_0_87_87 = e3)
% 36.83/10.37 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (363) can reduce 457 to:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (71), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (878) all_0_73_73 = e3
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,878) yields a new equation:
% 36.83/10.37 | (408) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 408 yields:
% 36.83/10.37 | (409) unit = e3
% 36.83/10.37 |
% 36.83/10.37 | Equations (409) can reduce 406 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (882) ~ (all_0_73_73 = e3)
% 36.83/10.37 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 36.83/10.37 |
% 36.83/10.37 | Equations (513) can reduce 882 to:
% 36.83/10.37 | (406) ~ (unit = e3)
% 36.83/10.37 |
% 36.83/10.37 +-Applying beta-rule and splitting (883), into two cases.
% 36.83/10.37 |-Branch one:
% 36.83/10.37 | (884) all_0_73_73 = e2
% 36.83/10.37 |
% 36.83/10.37 | Combining equations (513,884) yields a new equation:
% 36.83/10.37 | (414) unit = e2
% 36.83/10.37 |
% 36.83/10.37 | Simplifying 414 yields:
% 36.83/10.37 | (415) unit = e2
% 36.83/10.37 |
% 36.83/10.37 | Equations (415) can reduce 622 to:
% 36.83/10.37 | (304) $false
% 36.83/10.37 |
% 36.83/10.37 |-The branch is then unsatisfiable
% 36.83/10.37 |-Branch two:
% 36.83/10.37 | (888) ~ (all_0_73_73 = e2)
% 36.83/10.38 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (889), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (890) all_0_73_73 = e1
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (513,890) yields a new equation:
% 36.83/10.38 | (435) unit = e1
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 435 yields:
% 36.83/10.38 | (436) unit = e1
% 36.83/10.38 |
% 36.83/10.38 | Equations (436) can reduce 406 to:
% 36.83/10.38 | (1007) ~ (e3 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1007 yields:
% 36.83/10.38 | (215) ~ (e3 = e1)
% 36.83/10.38 |
% 36.83/10.38 | From (436) and (256) follows:
% 36.83/10.38 | (1009) op(e1, e3) = e3
% 36.83/10.38 |
% 36.83/10.38 | From (436) and (965) follows:
% 36.83/10.38 | (1010) op(e1, e3) = e1
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e1, e3, all_0_45_45, all_0_80_80 and discharging atoms op(e1, e3) = all_0_45_45, op(e1, e3) = all_0_80_80, yields:
% 36.83/10.38 | (1011) all_0_45_45 = all_0_80_80
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e1, e3, e3, all_0_45_45 and discharging atoms op(e1, e3) = all_0_45_45, op(e1, e3) = e3, yields:
% 36.83/10.38 | (1012) all_0_45_45 = e3
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 36.83/10.38 | (1013) all_0_80_80 = e1
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (1011,1012) yields a new equation:
% 36.83/10.38 | (1014) all_0_80_80 = e3
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1014 yields:
% 36.83/10.38 | (1015) all_0_80_80 = e3
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (1015,1013) yields a new equation:
% 36.83/10.38 | (1016) e3 = e1
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1016 yields:
% 36.83/10.38 | (1017) e3 = e1
% 36.83/10.38 |
% 36.83/10.38 | Equations (1017) can reduce 215 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (894) ~ (all_0_73_73 = e1)
% 36.83/10.38 | (895) all_0_73_73 = e0
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (513,895) yields a new equation:
% 36.83/10.38 | (440) unit = e0
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 440 yields:
% 36.83/10.38 | (441) unit = e0
% 36.83/10.38 |
% 36.83/10.38 | Equations (441) can reduce 402 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (1024) all_0_8_8 = e0
% 36.83/10.38 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (413) can reduce 419 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (439) all_0_72_72 = e0
% 36.83/10.38 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 36.83/10.38 |
% 36.83/10.38 | Equations (439) can reduce 64 to:
% 36.83/10.38 | (1029) ~ (all_0_75_75 = e0)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1029 yields:
% 36.83/10.38 | (1030) ~ (all_0_75_75 = e0)
% 36.83/10.38 |
% 36.83/10.38 | Equations (439) can reduce 515 to:
% 36.83/10.38 | (1031) ~ (unit = e0)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1031 yields:
% 36.83/10.38 | (402) ~ (unit = e0)
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (4) follows:
% 36.83/10.38 | (591) op(e0, e3) = all_0_8_8
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (567) follows:
% 36.83/10.38 | (592) op(e0, e2) = e3
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (128) follows:
% 36.83/10.38 | (593) op(e0, e0) = all_0_11_11
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (2) follows:
% 36.83/10.38 | (594) op(e3, e0) = all_0_8_8
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (570) follows:
% 36.83/10.38 | (595) op(e2, e0) = e3
% 36.83/10.38 |
% 36.83/10.38 | From (439) and (196) follows:
% 36.83/10.38 | (596) op(e0, e0) = all_0_56_56
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (912), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (1039) ~ (all_0_8_8 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 36.83/10.38 | (597) all_0_8_8 = all_0_75_75
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 36.83/10.38 | (598) all_0_79_79 = e3
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 36.83/10.38 | (599) all_0_8_8 = all_0_84_84
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 36.83/10.38 | (600) all_0_85_85 = e3
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 36.83/10.38 | (601) all_0_11_11 = unit
% 36.83/10.38 |
% 36.83/10.38 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 36.83/10.38 | (602) all_0_11_11 = all_0_56_56
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (597,599) yields a new equation:
% 36.83/10.38 | (603) all_0_75_75 = all_0_84_84
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 603 yields:
% 36.83/10.38 | (604) all_0_75_75 = all_0_84_84
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (601,602) yields a new equation:
% 36.83/10.38 | (605) all_0_56_56 = unit
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (605,602) yields a new equation:
% 36.83/10.38 | (601) all_0_11_11 = unit
% 36.83/10.38 |
% 36.83/10.38 | Equations (599) can reduce 1039 to:
% 36.83/10.38 | (1050) ~ (all_0_84_84 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (604) can reduce 140 to:
% 36.83/10.38 | (1051) ~ (all_0_74_74 = all_0_84_84)
% 36.83/10.38 |
% 36.83/10.38 | Equations (604) can reduce 88 to:
% 36.83/10.38 | (1052) ~ (all_0_83_83 = all_0_84_84)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1052 yields:
% 36.83/10.38 | (1053) ~ (all_0_83_83 = all_0_84_84)
% 36.83/10.38 |
% 36.83/10.38 | Equations (604) can reduce 519 to:
% 36.83/10.38 | (533) ~ (all_0_84_84 = unit)
% 36.83/10.38 |
% 36.83/10.38 | Equations (604) can reduce 1030 to:
% 36.83/10.38 | (1055) ~ (all_0_84_84 = e0)
% 36.83/10.38 |
% 36.83/10.38 | Equations (600) can reduce 85 to:
% 36.83/10.38 | (450) ~ (all_0_77_77 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Equations (598) can reduce 44 to:
% 36.83/10.38 | (1057) ~ (all_0_83_83 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1057 yields:
% 36.83/10.38 | (1058) ~ (all_0_83_83 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Equations (600) can reduce 81 to:
% 36.83/10.38 | (1059) ~ (all_0_84_84 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Equations (600) can reduce 130 to:
% 36.83/10.38 | (1060) ~ (all_0_86_86 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1060 yields:
% 36.83/10.38 | (1061) ~ (all_0_86_86 = e3)
% 36.83/10.38 |
% 36.83/10.38 | Equations (600) can reduce 523 to:
% 36.83/10.38 | (607) ~ (unit = e3)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 607 yields:
% 36.83/10.38 | (406) ~ (unit = e3)
% 36.83/10.38 |
% 36.83/10.38 | From (598) and (131) follows:
% 36.83/10.38 | (1064) op(e3, e2) = all_0_37_37
% 36.83/10.38 |
% 36.83/10.38 | From (600) and (186) follows:
% 36.83/10.38 | (1065) op(e3, e2) = all_0_61_61
% 36.83/10.38 |
% 36.83/10.38 | From (600) and (280) follows:
% 36.83/10.38 | (1066) op(e3, e1) = all_0_62_62
% 36.83/10.38 |
% 36.83/10.38 | From (604)(601) and (100) follows:
% 36.83/10.38 | (1067) op(e3, all_0_84_84) = unit
% 36.83/10.38 |
% 36.83/10.38 | From (598) and (252) follows:
% 36.83/10.38 | (1068) op(e2, e3) = all_0_31_31
% 36.83/10.38 |
% 36.83/10.38 | From (600) and (207) follows:
% 36.83/10.38 | (1069) op(e2, e3) = all_0_37_37
% 36.83/10.38 |
% 36.83/10.38 | From (605) and (596) follows:
% 36.83/10.38 | (362) op(e0, e0) = unit
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (74), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (679) all_0_75_75 = e3
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (604,679) yields a new equation:
% 36.83/10.38 | (1072) all_0_84_84 = e3
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1072 yields:
% 36.83/10.38 | (1073) all_0_84_84 = e3
% 36.83/10.38 |
% 36.83/10.38 | Equations (1073) can reduce 1059 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (718) ~ (all_0_75_75 = e3)
% 36.83/10.38 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (719), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (736) all_0_75_75 = e2
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (604,736) yields a new equation:
% 36.83/10.38 | (617) all_0_84_84 = e2
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 617 yields:
% 36.83/10.38 | (618) all_0_84_84 = e2
% 36.83/10.38 |
% 36.83/10.38 | Equations (618) can reduce 1050 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (645) ~ (all_0_75_75 = e2)
% 36.83/10.38 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (739), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (740) all_0_75_75 = e1
% 36.83/10.38 |
% 36.83/10.38 | Combining equations (604,740) yields a new equation:
% 36.83/10.38 | (1084) all_0_84_84 = e1
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1084 yields:
% 36.83/10.38 | (1085) all_0_84_84 = e1
% 36.83/10.38 |
% 36.83/10.38 | Equations (1085) can reduce 1051 to:
% 36.83/10.38 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Equations (1085) can reduce 279 to:
% 36.83/10.38 | (1087) ~ (all_0_80_80 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Equations (1085) can reduce 1053 to:
% 36.83/10.38 | (1088) ~ (all_0_83_83 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Equations (1085) can reduce 51 to:
% 36.83/10.38 | (1089) ~ (all_0_86_86 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 1089 yields:
% 36.83/10.38 | (1090) ~ (all_0_86_86 = e1)
% 36.83/10.38 |
% 36.83/10.38 | Equations (1085) can reduce 533 to:
% 36.83/10.38 | (928) ~ (unit = e1)
% 36.83/10.38 |
% 36.83/10.38 | Simplifying 928 yields:
% 36.83/10.38 | (404) ~ (unit = e1)
% 36.83/10.38 |
% 36.83/10.38 | From (1085) and (1067) follows:
% 36.83/10.38 | (1093) op(e3, e1) = unit
% 36.83/10.38 |
% 36.83/10.38 | From (1085) and (383) follows:
% 36.83/10.38 | (1094) op(e0, e1) = e3
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (119), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (409) unit = e3
% 36.83/10.38 |
% 36.83/10.38 | Equations (409) can reduce 406 to:
% 36.83/10.38 | (304) $false
% 36.83/10.38 |
% 36.83/10.38 |-The branch is then unsatisfiable
% 36.83/10.38 |-Branch two:
% 36.83/10.38 | (406) ~ (unit = e3)
% 36.83/10.38 | (871) unit = e2 | unit = e1 | unit = e0
% 36.83/10.38 |
% 36.83/10.38 +-Applying beta-rule and splitting (871), into two cases.
% 36.83/10.38 |-Branch one:
% 36.83/10.38 | (415) unit = e2
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 517 to:
% 36.83/10.38 | (643) ~ (all_0_74_74 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 525 to:
% 36.83/10.38 | (423) ~ (all_0_77_77 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 527 to:
% 36.83/10.38 | (689) ~ (all_0_78_78 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 531 to:
% 36.83/10.38 | (1103) ~ (all_0_80_80 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 521 to:
% 36.83/10.38 | (1104) ~ (all_0_81_81 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 364 to:
% 36.83/10.38 | (1105) ~ (all_0_83_83 = e2)
% 36.83/10.38 |
% 36.83/10.38 | Equations (415) can reduce 365 to:
% 36.83/10.38 | (1106) ~ (all_0_86_86 = e2)
% 36.83/10.38 |
% 36.83/10.38 | From (415) and (1093) follows:
% 36.83/10.38 | (1107) op(e3, e1) = e2
% 36.83/10.38 |
% 36.83/10.38 | From (415) and (8) follows:
% 36.83/10.38 | (1108) op(e0, e2) = e0
% 36.83/10.38 |
% 36.83/10.38 | From (415) and (362) follows:
% 36.83/10.39 | (1109) op(e0, e0) = e2
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (151), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1110) all_0_83_83 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (1110) can reduce 1058 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1058) ~ (all_0_83_83 = e3)
% 36.83/10.39 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (123), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1114) all_0_86_86 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (1114) can reduce 1061 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1061) ~ (all_0_86_86 = e3)
% 36.83/10.39 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (245), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1015) all_0_80_80 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (1015) can reduce 242 to:
% 36.83/10.39 | (1119) ~ (all_0_81_81 = e3)
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1119 yields:
% 36.83/10.39 | (1120) ~ (all_0_81_81 = e3)
% 36.83/10.39 |
% 36.83/10.39 | From (1015) and (40) follows:
% 36.83/10.39 | (1121) op(e3, e1) = all_0_42_42
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (11), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (691) all_0_74_74 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (691) can reduce 38 to:
% 36.83/10.39 | (656) ~ (all_0_78_78 = e3)
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 656 yields:
% 36.83/10.39 | (657) ~ (all_0_78_78 = e3)
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1113), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1125) all_0_83_83 = e2
% 36.83/10.39 |
% 36.83/10.39 | Equations (1125) can reduce 1105 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1105) ~ (all_0_83_83 = e2)
% 36.83/10.39 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1117), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1129) all_0_86_86 = e2
% 36.83/10.39 |
% 36.83/10.39 | Equations (1129) can reduce 1106 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1106) ~ (all_0_86_86 = e2)
% 36.83/10.39 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1128), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1133) all_0_83_83 = e1
% 36.83/10.39 |
% 36.83/10.39 | Equations (1133) can reduce 1088 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1088) ~ (all_0_83_83 = e1)
% 36.83/10.39 | (1136) all_0_83_83 = e0
% 36.83/10.39 |
% 36.83/10.39 | Equations (1136) can reduce 189 to:
% 36.83/10.39 | (1137) ~ (all_0_81_81 = e0)
% 36.83/10.39 |
% 36.83/10.39 | From (1136) and (195) follows:
% 36.83/10.39 | (1138) op(e0, e2) = all_0_53_53
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (176), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (825) all_0_81_81 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (825) can reduce 1120 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1120) ~ (all_0_81_81 = e3)
% 36.83/10.39 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1132), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1143) all_0_86_86 = e1
% 36.83/10.39 |
% 36.83/10.39 | Equations (1143) can reduce 1090 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1090) ~ (all_0_86_86 = e1)
% 36.83/10.39 | (1146) all_0_86_86 = e0
% 36.83/10.39 |
% 36.83/10.39 | Equations (1146) can reduce 266 to:
% 36.83/10.39 | (690) ~ (all_0_78_78 = e0)
% 36.83/10.39 |
% 36.83/10.39 | From (1146) and (246) follows:
% 36.83/10.39 | (1148) op(e0, e2) = all_0_65_65
% 36.83/10.39 |
% 36.83/10.39 | From (1146) and (250) follows:
% 36.83/10.39 | (1149) op(e0, e0) = all_0_67_67
% 36.83/10.39 |
% 36.83/10.39 | From (1146) and (385) follows:
% 36.83/10.39 | (1150) op(e0, e0) = e1
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (50), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (695) all_0_78_78 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (695) can reduce 657 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (657) ~ (all_0_78_78 = e3)
% 36.83/10.39 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1142), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1155) all_0_81_81 = e2
% 36.83/10.39 |
% 36.83/10.39 | Equations (1155) can reduce 1104 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (1104) ~ (all_0_81_81 = e2)
% 36.83/10.39 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (698), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (703) all_0_78_78 = e2
% 36.83/10.39 |
% 36.83/10.39 | Equations (703) can reduce 689 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (689) ~ (all_0_78_78 = e2)
% 36.83/10.39 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1158), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (1163) all_0_81_81 = e1
% 36.83/10.39 |
% 36.83/10.39 | From (1163) and (206) follows:
% 36.83/10.39 | (1164) op(e3, e1) = all_0_17_17
% 36.83/10.39 |
% 36.83/10.39 | From (1163) and (164) follows:
% 36.83/10.39 | (1165) op(e0, e1) = all_0_65_65
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (94), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (449) all_0_77_77 = e3
% 36.83/10.39 |
% 36.83/10.39 | Equations (449) can reduce 450 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (450) ~ (all_0_77_77 = e3)
% 36.83/10.39 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (706), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (710) all_0_78_78 = e1
% 36.83/10.39 |
% 36.83/10.39 | Equations (710) can reduce 198 to:
% 36.83/10.39 | (466) ~ (all_0_77_77 = e1)
% 36.83/10.39 |
% 36.83/10.39 | From (710) and (228) follows:
% 36.83/10.39 | (1172) op(e0, e1) = all_0_62_62
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1169), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (418) all_0_77_77 = e2
% 36.83/10.39 |
% 36.83/10.39 | Equations (418) can reduce 423 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (423) ~ (all_0_77_77 = e2)
% 36.83/10.39 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 36.83/10.39 |
% 36.83/10.39 +-Applying beta-rule and splitting (1176), into two cases.
% 36.83/10.39 |-Branch one:
% 36.83/10.39 | (465) all_0_77_77 = e1
% 36.83/10.39 |
% 36.83/10.39 | Equations (465) can reduce 466 to:
% 36.83/10.39 | (304) $false
% 36.83/10.39 |
% 36.83/10.39 |-The branch is then unsatisfiable
% 36.83/10.39 |-Branch two:
% 36.83/10.39 | (466) ~ (all_0_77_77 = e1)
% 36.83/10.39 | (481) all_0_77_77 = e0
% 36.83/10.39 |
% 36.83/10.39 | Equations (481) can reduce 466 to:
% 36.83/10.39 | (1181) ~ (e1 = e0)
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1181 yields:
% 36.83/10.39 | (69) ~ (e1 = e0)
% 36.83/10.39 |
% 36.83/10.39 | From (481) and (247) follows:
% 36.83/10.39 | (1183) op(e0, e2) = all_0_29_29
% 36.83/10.39 |
% 36.83/10.39 | From (481) and (200) follows:
% 36.83/10.39 | (1184) op(e0, e0) = all_0_31_31
% 36.83/10.39 |
% 36.83/10.39 | From (481) and (220) follows:
% 36.83/10.39 | (1185) op(e0, e0) = all_0_61_61
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e3, e2, all_0_61_61, all_0_37_37 and discharging atoms op(e3, e2) = all_0_37_37, op(e3, e2) = all_0_61_61, yields:
% 36.83/10.39 | (1186) all_0_37_37 = all_0_61_61
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e3, e1, all_0_42_42, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = all_0_42_42, yields:
% 36.83/10.39 | (1187) all_0_17_17 = all_0_42_42
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e3, e1, all_0_62_62, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = all_0_62_62, yields:
% 36.83/10.39 | (1188) all_0_17_17 = all_0_62_62
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e3, e1, e2, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = e2, yields:
% 36.83/10.39 | (1189) all_0_17_17 = e2
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e2, e3, all_0_37_37, all_0_31_31 and discharging atoms op(e2, e3) = all_0_31_31, op(e2, e3) = all_0_37_37, yields:
% 36.83/10.39 | (1190) all_0_31_31 = all_0_37_37
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e2, all_0_53_53, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_53_53, yields:
% 36.83/10.39 | (1191) all_0_29_29 = all_0_53_53
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e2, all_0_65_65, all_0_53_53 and discharging atoms op(e0, e2) = all_0_53_53, op(e0, e2) = all_0_65_65, yields:
% 36.83/10.39 | (1192) all_0_53_53 = all_0_65_65
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e2, e0, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = e0, yields:
% 36.83/10.39 | (1193) all_0_29_29 = e0
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e1, all_0_65_65, all_0_62_62 and discharging atoms op(e0, e1) = all_0_62_62, op(e0, e1) = all_0_65_65, yields:
% 36.83/10.39 | (1194) all_0_62_62 = all_0_65_65
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e1, e3, all_0_62_62 and discharging atoms op(e0, e1) = all_0_62_62, op(e0, e1) = e3, yields:
% 36.83/10.39 | (1195) all_0_62_62 = e3
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e0, all_0_67_67, all_0_61_61 and discharging atoms op(e0, e0) = all_0_61_61, op(e0, e0) = all_0_67_67, yields:
% 36.83/10.39 | (1196) all_0_61_61 = all_0_67_67
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e0, e2, all_0_67_67 and discharging atoms op(e0, e0) = all_0_67_67, op(e0, e0) = e2, yields:
% 36.83/10.39 | (1197) all_0_67_67 = e2
% 36.83/10.39 |
% 36.83/10.39 | Instantiating formula (268) with e0, e0, e1, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = e1, yields:
% 36.83/10.39 | (1198) all_0_31_31 = e1
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1189,1187) yields a new equation:
% 36.83/10.39 | (1199) all_0_42_42 = e2
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1188,1187) yields a new equation:
% 36.83/10.39 | (1200) all_0_42_42 = all_0_62_62
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1191,1193) yields a new equation:
% 36.83/10.39 | (1201) all_0_53_53 = e0
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1201 yields:
% 36.83/10.39 | (1202) all_0_53_53 = e0
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1190,1198) yields a new equation:
% 36.83/10.39 | (1203) all_0_37_37 = e1
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1203 yields:
% 36.83/10.39 | (1204) all_0_37_37 = e1
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1186,1204) yields a new equation:
% 36.83/10.39 | (1205) all_0_61_61 = e1
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1205 yields:
% 36.83/10.39 | (1206) all_0_61_61 = e1
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1200,1199) yields a new equation:
% 36.83/10.39 | (1207) all_0_62_62 = e2
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1207 yields:
% 36.83/10.39 | (1208) all_0_62_62 = e2
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1192,1202) yields a new equation:
% 36.83/10.39 | (1209) all_0_65_65 = e0
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1209 yields:
% 36.83/10.39 | (1210) all_0_65_65 = e0
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1196,1206) yields a new equation:
% 36.83/10.39 | (1211) all_0_67_67 = e1
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1211 yields:
% 36.83/10.39 | (1212) all_0_67_67 = e1
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1194,1195) yields a new equation:
% 36.83/10.39 | (1213) all_0_65_65 = e3
% 36.83/10.39 |
% 36.83/10.39 | Simplifying 1213 yields:
% 36.83/10.39 | (1214) all_0_65_65 = e3
% 36.83/10.39 |
% 36.83/10.39 | Combining equations (1208,1195) yields a new equation:
% 36.83/10.40 | (1215) e3 = e2
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (1214,1210) yields a new equation:
% 36.83/10.40 | (1216) e3 = e0
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 1216 yields:
% 36.83/10.40 | (1217) e3 = e0
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (1197,1212) yields a new equation:
% 36.83/10.40 | (1218) e2 = e1
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 1218 yields:
% 36.83/10.40 | (1219) e2 = e1
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (1215,1217) yields a new equation:
% 36.83/10.40 | (1220) e2 = e0
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 1220 yields:
% 36.83/10.40 | (1221) e2 = e0
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (1221,1219) yields a new equation:
% 36.83/10.40 | (1222) e1 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1222) can reduce 69 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (709) ~ (all_0_78_78 = e1)
% 36.83/10.40 | (713) all_0_78_78 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (713) can reduce 690 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1227) ~ (all_0_81_81 = e1)
% 36.83/10.40 | (1228) all_0_81_81 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1228) can reduce 1137 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (680) ~ (all_0_74_74 = e3)
% 36.83/10.40 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1117), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1129) all_0_86_86 = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (1129) can reduce 1106 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1106) ~ (all_0_86_86 = e2)
% 36.83/10.40 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (694), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (699) all_0_74_74 = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (699) can reduce 643 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (643) ~ (all_0_74_74 = e2)
% 36.83/10.40 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1132), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1143) all_0_86_86 = e1
% 36.83/10.40 |
% 36.83/10.40 | Equations (1143) can reduce 1090 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1090) ~ (all_0_86_86 = e1)
% 36.83/10.40 | (1146) all_0_86_86 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1146) can reduce 32 to:
% 36.83/10.40 | (688) ~ (all_0_74_74 = e0)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (702), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (707) all_0_74_74 = e1
% 36.83/10.40 |
% 36.83/10.40 | Equations (707) can reduce 715 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.40 | (716) all_0_74_74 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (716) can reduce 688 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1250) ~ (all_0_80_80 = e3)
% 36.83/10.40 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1113), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1125) all_0_83_83 = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (1125) can reduce 1105 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1105) ~ (all_0_83_83 = e2)
% 36.83/10.40 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1128), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1133) all_0_83_83 = e1
% 36.83/10.40 |
% 36.83/10.40 | Equations (1133) can reduce 1088 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1088) ~ (all_0_83_83 = e1)
% 36.83/10.40 | (1136) all_0_83_83 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1136) can reduce 217 to:
% 36.83/10.40 | (1260) ~ (all_0_80_80 = e0)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1251), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (843) all_0_80_80 = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (843) can reduce 1103 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1103) ~ (all_0_80_80 = e2)
% 36.83/10.40 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1264), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1013) all_0_80_80 = e1
% 36.83/10.40 |
% 36.83/10.40 | Equations (1013) can reduce 1087 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1087) ~ (all_0_80_80 = e1)
% 36.83/10.40 | (1268) all_0_80_80 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1268) can reduce 1260 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (622) ~ (unit = e2)
% 36.83/10.40 | (1271) unit = e1 | unit = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1271), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (436) unit = e1
% 36.83/10.40 |
% 36.83/10.40 | Equations (436) can reduce 404 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (404) ~ (unit = e1)
% 36.83/10.40 | (441) unit = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (441) can reduce 402 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (728) ~ (all_0_75_75 = e1)
% 36.83/10.40 | (743) all_0_75_75 = e0
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (604,743) yields a new equation:
% 36.83/10.40 | (1279) all_0_84_84 = e0
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 1279 yields:
% 36.83/10.40 | (1280) all_0_84_84 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (1280) can reduce 1055 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1282) all_0_8_8 = e2
% 36.83/10.40 | (401) ~ (all_0_72_72 = e0)
% 36.83/10.40 |
% 36.83/10.40 | Equations (439) can reduce 401 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1285) all_0_2_2 = e0
% 36.83/10.40 | (1286) ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e1)
% 36.83/10.40 |
% 36.83/10.40 | From (1285) and (89) follows:
% 36.83/10.40 | (1287) op(all_0_8_8, e3) = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (169), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (574) ~ (all_0_2_2 = e0)
% 36.83/10.40 |
% 36.83/10.40 | Equations (1285) can reduce 574 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (1285) all_0_2_2 = e0
% 36.83/10.40 | (1291) ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e2)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (230), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (403) ~ (all_0_72_72 = e1)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (24), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (407) all_0_72_72 = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (407) can reduce 515 to:
% 36.83/10.40 | (607) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 607 yields:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 | From (407) and (570) follows:
% 36.83/10.40 | (903) op(e2, e3) = e3
% 36.83/10.40 |
% 36.83/10.40 | Instantiating formula (268) with e2, e3, e3, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e3, yields:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (405) ~ (all_0_72_72 = e3)
% 36.83/10.40 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (188), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (401) ~ (all_0_72_72 = e0)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (412), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (413) all_0_72_72 = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (413) can reduce 515 to:
% 36.83/10.40 | (621) ~ (unit = e2)
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 621 yields:
% 36.83/10.40 | (622) ~ (unit = e2)
% 36.83/10.40 |
% 36.83/10.40 | From (413) and (4) follows:
% 36.83/10.40 | (648) op(e2, e3) = all_0_8_8
% 36.83/10.40 |
% 36.83/10.40 | From (413) and (570) follows:
% 36.83/10.40 | (651) op(e2, e2) = e3
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1291), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (1307) ~ (all_0_8_8 = e1)
% 36.83/10.40 |
% 36.83/10.40 | Instantiating formula (268) with e2, e3, all_0_8_8, unit and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = unit, yields:
% 36.83/10.40 | (652) all_0_8_8 = unit
% 36.83/10.40 |
% 36.83/10.40 | Instantiating formula (268) with e2, e2, e3, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = e3, yields:
% 36.83/10.40 | (449) all_0_77_77 = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (652) can reduce 1307 to:
% 36.83/10.40 | (404) ~ (unit = e1)
% 36.83/10.40 |
% 36.83/10.40 | Equations (449) can reduce 525 to:
% 36.83/10.40 | (607) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 607 yields:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 | From (652) and (1287) follows:
% 36.83/10.40 | (1313) op(unit, e3) = e0
% 36.83/10.40 |
% 36.83/10.40 | From (449) and (220) follows:
% 36.83/10.40 | (1314) op(e0, e3) = all_0_61_61
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (19), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (673) all_0_76_76 = e3
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (514,673) yields a new equation:
% 36.83/10.40 | (408) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 408 yields:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (677) ~ (all_0_76_76 = e3)
% 36.83/10.40 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (514) can reduce 677 to:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (119), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 | (871) unit = e2 | unit = e1 | unit = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (871), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (415) unit = e2
% 36.83/10.40 |
% 36.83/10.40 | Equations (415) can reduce 622 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (622) ~ (unit = e2)
% 36.83/10.40 | (1271) unit = e1 | unit = e0
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (71), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (878) all_0_73_73 = e3
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (513,878) yields a new equation:
% 36.83/10.40 | (408) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 408 yields:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (882) ~ (all_0_73_73 = e3)
% 36.83/10.40 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (513) can reduce 882 to:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (241), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (448) all_0_82_82 = e3
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (448,317) yields a new equation:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (454) ~ (all_0_82_82 = e3)
% 36.83/10.40 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (317) can reduce 454 to:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (34), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (447) all_0_87_87 = e3
% 36.83/10.40 |
% 36.83/10.40 | Combining equations (363,447) yields a new equation:
% 36.83/10.40 | (408) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Simplifying 408 yields:
% 36.83/10.40 | (409) unit = e3
% 36.83/10.40 |
% 36.83/10.40 | Equations (409) can reduce 406 to:
% 36.83/10.40 | (304) $false
% 36.83/10.40 |
% 36.83/10.40 |-The branch is then unsatisfiable
% 36.83/10.40 |-Branch two:
% 36.83/10.40 | (457) ~ (all_0_87_87 = e3)
% 36.83/10.40 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 36.83/10.40 |
% 36.83/10.40 | Equations (363) can reduce 457 to:
% 36.83/10.40 | (406) ~ (unit = e3)
% 36.83/10.40 |
% 36.83/10.40 +-Applying beta-rule and splitting (1271), into two cases.
% 36.83/10.40 |-Branch one:
% 36.83/10.40 | (436) unit = e1
% 36.83/10.40 |
% 36.83/10.41 | Equations (436) can reduce 404 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (404) ~ (unit = e1)
% 36.83/10.41 | (441) unit = e0
% 36.83/10.41 |
% 36.83/10.41 | Equations (441) can reduce 406 to:
% 36.83/10.41 | (1354) ~ (e3 = e0)
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 1354 yields:
% 36.83/10.41 | (46) ~ (e3 = e0)
% 36.83/10.41 |
% 36.83/10.41 | From (441) and (256) follows:
% 36.83/10.41 | (1356) op(e0, e3) = e3
% 36.83/10.41 |
% 36.83/10.41 | From (441) and (1313) follows:
% 36.83/10.41 | (1357) op(e0, e3) = e0
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e3, all_0_61_61, all_0_84_84 and discharging atoms op(e0, e3) = all_0_61_61, op(e0, e3) = all_0_84_84, yields:
% 36.83/10.41 | (1358) all_0_61_61 = all_0_84_84
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 36.83/10.41 | (1073) all_0_84_84 = e3
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e3, e0, all_0_61_61 and discharging atoms op(e0, e3) = all_0_61_61, op(e0, e3) = e0, yields:
% 36.83/10.41 | (1360) all_0_61_61 = e0
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (1358,1360) yields a new equation:
% 36.83/10.41 | (1279) all_0_84_84 = e0
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 1279 yields:
% 36.83/10.41 | (1280) all_0_84_84 = e0
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (1280,1073) yields a new equation:
% 36.83/10.41 | (1217) e3 = e0
% 36.83/10.41 |
% 36.83/10.41 | Equations (1217) can reduce 46 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (1365) all_0_8_8 = e1
% 36.83/10.41 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.41 |
% 36.83/10.41 | Equations (413) can reduce 419 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (419) ~ (all_0_72_72 = e2)
% 36.83/10.41 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 36.83/10.41 |
% 36.83/10.41 +-Applying beta-rule and splitting (433), into two cases.
% 36.83/10.41 |-Branch one:
% 36.83/10.41 | (434) all_0_72_72 = e1
% 36.83/10.41 |
% 36.83/10.41 | Equations (434) can reduce 403 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (403) ~ (all_0_72_72 = e1)
% 36.83/10.41 | (439) all_0_72_72 = e0
% 36.83/10.41 |
% 36.83/10.41 | Equations (439) can reduce 401 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (439) all_0_72_72 = e0
% 36.83/10.41 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 36.83/10.41 |
% 36.83/10.41 | Equations (439) can reduce 515 to:
% 36.83/10.41 | (1031) ~ (unit = e0)
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 1031 yields:
% 36.83/10.41 | (402) ~ (unit = e0)
% 36.83/10.41 |
% 36.83/10.41 | From (439) and (4) follows:
% 36.83/10.41 | (591) op(e0, e3) = all_0_8_8
% 36.83/10.41 |
% 36.83/10.41 | From (439) and (128) follows:
% 36.83/10.41 | (593) op(e0, e0) = all_0_11_11
% 36.83/10.41 |
% 36.83/10.41 | From (439) and (2) follows:
% 36.83/10.41 | (594) op(e3, e0) = all_0_8_8
% 36.83/10.41 |
% 36.83/10.41 | From (439) and (196) follows:
% 36.83/10.41 | (596) op(e0, e0) = all_0_56_56
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 36.83/10.41 | (597) all_0_8_8 = all_0_75_75
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 36.83/10.41 | (599) all_0_8_8 = all_0_84_84
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 36.83/10.41 | (601) all_0_11_11 = unit
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 36.83/10.41 | (602) all_0_11_11 = all_0_56_56
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (597,599) yields a new equation:
% 36.83/10.41 | (603) all_0_75_75 = all_0_84_84
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 603 yields:
% 36.83/10.41 | (604) all_0_75_75 = all_0_84_84
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (601,602) yields a new equation:
% 36.83/10.41 | (605) all_0_56_56 = unit
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (605,602) yields a new equation:
% 36.83/10.41 | (601) all_0_11_11 = unit
% 36.83/10.41 |
% 36.83/10.41 | From (599) and (1287) follows:
% 36.83/10.41 | (1391) op(all_0_84_84, e3) = e0
% 36.83/10.41 |
% 36.83/10.41 | From (604) and (15) follows:
% 36.83/10.41 | (1392) op(all_0_84_84, e3) = all_0_20_20
% 36.83/10.41 |
% 36.83/10.41 | From (604)(601) and (100) follows:
% 36.83/10.41 | (1067) op(e3, all_0_84_84) = unit
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with all_0_84_84, e3, e0, all_0_20_20 and discharging atoms op(all_0_84_84, e3) = all_0_20_20, op(all_0_84_84, e3) = e0, yields:
% 36.83/10.41 | (1394) all_0_20_20 = e0
% 36.83/10.41 |
% 36.83/10.41 | Instantiating formula (268) with e3, all_0_84_84, unit, all_0_20_20 and discharging atoms op(e3, all_0_84_84) = all_0_20_20, op(e3, all_0_84_84) = unit, yields:
% 36.83/10.41 | (1395) all_0_20_20 = unit
% 36.83/10.41 |
% 36.83/10.41 | Combining equations (1395,1394) yields a new equation:
% 36.83/10.41 | (440) unit = e0
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 440 yields:
% 36.83/10.41 | (441) unit = e0
% 36.83/10.41 |
% 36.83/10.41 | Equations (441) can reduce 402 to:
% 36.83/10.41 | (304) $false
% 36.83/10.41 |
% 36.83/10.41 |-The branch is then unsatisfiable
% 36.83/10.41 |-Branch two:
% 36.83/10.41 | (434) all_0_72_72 = e1
% 36.83/10.41 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 36.83/10.41 |
% 36.83/10.41 | Equations (434) can reduce 134 to:
% 36.83/10.41 | (1401) ~ (all_0_74_74 = e1)
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 1401 yields:
% 36.83/10.41 | (715) ~ (all_0_74_74 = e1)
% 36.83/10.41 |
% 36.83/10.41 | Equations (434) can reduce 515 to:
% 36.83/10.41 | (928) ~ (unit = e1)
% 36.83/10.41 |
% 36.83/10.41 | Simplifying 928 yields:
% 36.83/10.41 | (404) ~ (unit = e1)
% 36.83/10.41 |
% 36.83/10.41 | From (434) and (4) follows:
% 36.83/10.41 | (816) op(e1, e3) = all_0_8_8
% 36.83/10.41 |
% 36.83/10.41 | From (434) and (567) follows:
% 36.83/10.41 | (817) op(e1, e2) = e3
% 36.83/10.41 |
% 36.83/10.41 | From (434) and (35) follows:
% 36.83/10.41 | (818) op(e1, e1) = all_0_10_10
% 36.83/10.41 |
% 36.83/10.41 | From (434) and (128) follows:
% 36.83/10.41 | (1408) op(e1, e0) = all_0_11_11
% 36.83/10.41 |
% 36.83/10.41 | From (434) and (2) follows:
% 37.20/10.41 | (819) op(e3, e1) = all_0_8_8
% 37.20/10.41 |
% 37.20/10.41 | From (434) and (570) follows:
% 37.20/10.41 | (820) op(e2, e1) = e3
% 37.20/10.41 |
% 37.20/10.41 | From (434) and (82) follows:
% 37.20/10.41 | (821) op(e1, e1) = all_0_40_40
% 37.20/10.41 |
% 37.20/10.41 +-Applying beta-rule and splitting (1286), into two cases.
% 37.20/10.41 |-Branch one:
% 37.20/10.41 | (1039) ~ (all_0_8_8 = e2)
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 37.20/10.41 | (822) all_0_8_8 = all_0_74_74
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e2, e1, e3, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e3, yields:
% 37.20/10.41 | (695) all_0_78_78 = e3
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 37.20/10.41 | (824) all_0_8_8 = all_0_80_80
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 37.20/10.41 | (825) all_0_81_81 = e3
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 37.20/10.41 | (826) all_0_10_10 = unit
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e1, e1, all_0_40_40, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = all_0_40_40, yields:
% 37.20/10.41 | (827) all_0_10_10 = all_0_40_40
% 37.20/10.41 |
% 37.20/10.41 | Instantiating formula (268) with e1, e0, all_0_11_11, all_0_83_83 and discharging atoms op(e1, e0) = all_0_11_11, op(e1, e0) = all_0_83_83, yields:
% 37.20/10.41 | (1419) all_0_11_11 = all_0_83_83
% 37.20/10.41 |
% 37.20/10.41 | Combining equations (822,824) yields a new equation:
% 37.20/10.41 | (828) all_0_74_74 = all_0_80_80
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 828 yields:
% 37.20/10.41 | (829) all_0_74_74 = all_0_80_80
% 37.20/10.41 |
% 37.20/10.41 | Combining equations (826,827) yields a new equation:
% 37.20/10.41 | (830) all_0_40_40 = unit
% 37.20/10.41 |
% 37.20/10.41 | Equations (824) can reduce 1039 to:
% 37.20/10.41 | (1103) ~ (all_0_80_80 = e2)
% 37.20/10.41 |
% 37.20/10.41 | Equations (829) can reduce 140 to:
% 37.20/10.41 | (1424) ~ (all_0_75_75 = all_0_80_80)
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 1424 yields:
% 37.20/10.41 | (1425) ~ (all_0_75_75 = all_0_80_80)
% 37.20/10.41 |
% 37.20/10.41 | Equations (829) can reduce 32 to:
% 37.20/10.41 | (1426) ~ (all_0_80_80 = all_0_86_86)
% 37.20/10.41 |
% 37.20/10.41 | Equations (829) can reduce 517 to:
% 37.20/10.41 | (531) ~ (all_0_80_80 = unit)
% 37.20/10.41 |
% 37.20/10.41 | Equations (829) can reduce 715 to:
% 37.20/10.41 | (1087) ~ (all_0_80_80 = e1)
% 37.20/10.41 |
% 37.20/10.41 | Equations (825) can reduce 126 to:
% 37.20/10.41 | (450) ~ (all_0_77_77 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Equations (695) can reduce 266 to:
% 37.20/10.41 | (1060) ~ (all_0_86_86 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 1060 yields:
% 37.20/10.41 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Equations (825) can reduce 242 to:
% 37.20/10.41 | (1250) ~ (all_0_80_80 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Equations (825) can reduce 189 to:
% 37.20/10.41 | (1057) ~ (all_0_83_83 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 1057 yields:
% 37.20/10.41 | (1058) ~ (all_0_83_83 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Equations (825) can reduce 281 to:
% 37.20/10.41 | (1435) ~ (all_0_85_85 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 1435 yields:
% 37.20/10.41 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.41 |
% 37.20/10.41 | Equations (825) can reduce 521 to:
% 37.20/10.41 | (607) ~ (unit = e3)
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 607 yields:
% 37.20/10.41 | (406) ~ (unit = e3)
% 37.20/10.41 |
% 37.20/10.41 | From (829) and (67) follows:
% 37.20/10.41 | (943) op(all_0_80_80, e3) = all_0_16_16
% 37.20/10.41 |
% 37.20/10.41 | From (829) and (267) follows:
% 37.20/10.41 | (1440) op(all_0_80_80, e2) = all_0_17_17
% 37.20/10.41 |
% 37.20/10.41 | From (695) and (178) follows:
% 37.20/10.41 | (1441) op(e3, e0) = all_0_35_35
% 37.20/10.41 |
% 37.20/10.41 | From (830) and (117) follows:
% 37.20/10.41 | (835) op(all_0_80_80, e3) = unit
% 37.20/10.41 |
% 37.20/10.41 | From (829) and (98) follows:
% 37.20/10.41 | (1443) op(e1, all_0_80_80) = all_0_42_42
% 37.20/10.41 |
% 37.20/10.41 | From (825) and (258) follows:
% 37.20/10.41 | (817) op(e1, e2) = e3
% 37.20/10.41 |
% 37.20/10.41 | From (1419) and (1408) follows:
% 37.20/10.41 | (84) op(e1, e0) = all_0_83_83
% 37.20/10.41 |
% 37.20/10.41 | From (695) and (228) follows:
% 37.20/10.41 | (1446) op(e0, e3) = all_0_62_62
% 37.20/10.41 |
% 37.20/10.41 | From (825) and (164) follows:
% 37.20/10.41 | (1447) op(e0, e3) = all_0_65_65
% 37.20/10.41 |
% 37.20/10.41 +-Applying beta-rule and splitting (11), into two cases.
% 37.20/10.41 |-Branch one:
% 37.20/10.41 | (691) all_0_74_74 = e3
% 37.20/10.41 |
% 37.20/10.41 | Combining equations (829,691) yields a new equation:
% 37.20/10.41 | (1014) all_0_80_80 = e3
% 37.20/10.41 |
% 37.20/10.41 | Simplifying 1014 yields:
% 37.20/10.41 | (1015) all_0_80_80 = e3
% 37.20/10.41 |
% 37.20/10.41 | Equations (1015) can reduce 1250 to:
% 37.20/10.41 | (304) $false
% 37.20/10.41 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (680) ~ (all_0_74_74 = e3)
% 37.20/10.42 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (694), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (699) all_0_74_74 = e2
% 37.20/10.42 |
% 37.20/10.42 | Combining equations (829,699) yields a new equation:
% 37.20/10.42 | (842) all_0_80_80 = e2
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 842 yields:
% 37.20/10.42 | (843) all_0_80_80 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (843) can reduce 1103 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (643) ~ (all_0_74_74 = e2)
% 37.20/10.42 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (702), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (707) all_0_74_74 = e1
% 37.20/10.42 |
% 37.20/10.42 | Combining equations (829,707) yields a new equation:
% 37.20/10.42 | (1461) all_0_80_80 = e1
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1461 yields:
% 37.20/10.42 | (1013) all_0_80_80 = e1
% 37.20/10.42 |
% 37.20/10.42 | Equations (1013) can reduce 1087 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (715) ~ (all_0_74_74 = e1)
% 37.20/10.42 | (716) all_0_74_74 = e0
% 37.20/10.42 |
% 37.20/10.42 | Combining equations (829,716) yields a new equation:
% 37.20/10.42 | (1466) all_0_80_80 = e0
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1466 yields:
% 37.20/10.42 | (1268) all_0_80_80 = e0
% 37.20/10.42 |
% 37.20/10.42 | Equations (1268) can reduce 1425 to:
% 37.20/10.42 | (1030) ~ (all_0_75_75 = e0)
% 37.20/10.42 |
% 37.20/10.42 | Equations (1268) can reduce 217 to:
% 37.20/10.42 | (1469) ~ (all_0_83_83 = e0)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1469 yields:
% 37.20/10.42 | (1470) ~ (all_0_83_83 = e0)
% 37.20/10.42 |
% 37.20/10.42 | Equations (1268) can reduce 1426 to:
% 37.20/10.42 | (1471) ~ (all_0_86_86 = e0)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1471 yields:
% 37.20/10.42 | (1472) ~ (all_0_86_86 = e0)
% 37.20/10.42 |
% 37.20/10.42 | Equations (1268) can reduce 531 to:
% 37.20/10.42 | (1031) ~ (unit = e0)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1031 yields:
% 37.20/10.42 | (402) ~ (unit = e0)
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (943) follows:
% 37.20/10.42 | (1475) op(e0, e3) = all_0_16_16
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (835) follows:
% 37.20/10.42 | (1476) op(e0, e3) = unit
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (1440) follows:
% 37.20/10.42 | (1477) op(e0, e2) = all_0_17_17
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (40) follows:
% 37.20/10.42 | (1478) op(e0, e1) = all_0_42_42
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (159) follows:
% 37.20/10.42 | (1479) op(e3, e0) = all_0_16_16
% 37.20/10.42 |
% 37.20/10.42 | From (1268) and (1443) follows:
% 37.20/10.42 | (1480) op(e1, e0) = all_0_42_42
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (34), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (447) all_0_87_87 = e3
% 37.20/10.42 |
% 37.20/10.42 | Combining equations (363,447) yields a new equation:
% 37.20/10.42 | (408) unit = e3
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 408 yields:
% 37.20/10.42 | (409) unit = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (409) can reduce 406 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (457) ~ (all_0_87_87 = e3)
% 37.20/10.42 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.20/10.42 |
% 37.20/10.42 | Equations (363) can reduce 457 to:
% 37.20/10.42 | (406) ~ (unit = e3)
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (119), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (409) unit = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (409) can reduce 406 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (406) ~ (unit = e3)
% 37.20/10.42 | (871) unit = e2 | unit = e1 | unit = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (871), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (415) unit = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 519 to:
% 37.20/10.42 | (645) ~ (all_0_75_75 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 525 to:
% 37.20/10.42 | (423) ~ (all_0_77_77 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 529 to:
% 37.20/10.42 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 364 to:
% 37.20/10.42 | (1105) ~ (all_0_83_83 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 533 to:
% 37.20/10.42 | (1050) ~ (all_0_84_84 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 523 to:
% 37.20/10.42 | (1498) ~ (all_0_85_85 = e2)
% 37.20/10.42 |
% 37.20/10.42 | Equations (415) can reduce 365 to:
% 37.20/10.42 | (1106) ~ (all_0_86_86 = e2)
% 37.20/10.42 |
% 37.20/10.42 | From (415) and (1476) follows:
% 37.20/10.42 | (612) op(e0, e3) = e2
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (151), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1110) all_0_83_83 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (1110) can reduce 1058 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1058) ~ (all_0_83_83 = e3)
% 37.20/10.42 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (240), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1073) all_0_84_84 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (1073) can reduce 81 to:
% 37.20/10.42 | (1435) ~ (all_0_85_85 = e3)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1435 yields:
% 37.20/10.42 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.42 |
% 37.20/10.42 | Equations (1073) can reduce 51 to:
% 37.20/10.42 | (1060) ~ (all_0_86_86 = e3)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 1060 yields:
% 37.20/10.42 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.42 |
% 37.20/10.42 | From (1073) and (49) follows:
% 37.20/10.42 | (1510) op(e3, e0) = all_0_59_59
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1113), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1125) all_0_83_83 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (1125) can reduce 1105 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1105) ~ (all_0_83_83 = e2)
% 37.20/10.42 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (123), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1114) all_0_86_86 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (1114) can reduce 1061 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.42 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (74), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (679) all_0_75_75 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (679) can reduce 118 to:
% 37.20/10.42 | (658) ~ (all_0_79_79 = e3)
% 37.20/10.42 |
% 37.20/10.42 | Simplifying 658 yields:
% 37.20/10.42 | (659) ~ (all_0_79_79 = e3)
% 37.20/10.42 |
% 37.20/10.42 | From (679) and (282) follows:
% 37.20/10.42 | (1522) op(e0, e3) = all_0_59_59
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1128), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1133) all_0_83_83 = e1
% 37.20/10.42 |
% 37.20/10.42 | Equations (1133) can reduce 44 to:
% 37.20/10.42 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.42 |
% 37.20/10.42 | From (1133) and (84) follows:
% 37.20/10.42 | (1525) op(e1, e0) = e1
% 37.20/10.42 |
% 37.20/10.42 | From (1133) and (16) follows:
% 37.20/10.42 | (1526) op(e0, e1) = all_0_67_67
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (184), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (598) all_0_79_79 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (598) can reduce 659 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (659) ~ (all_0_79_79 = e3)
% 37.20/10.42 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1117), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1129) all_0_86_86 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (1129) can reduce 1106 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1106) ~ (all_0_86_86 = e2)
% 37.20/10.42 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (735), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (687) all_0_79_79 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (687) can reduce 730 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.42 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1132), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1143) all_0_86_86 = e1
% 37.20/10.42 |
% 37.20/10.42 | Equations (1143) can reduce 130 to:
% 37.20/10.42 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.42 |
% 37.20/10.42 | From (1143) and (250) follows:
% 37.20/10.42 | (1541) op(e1, e0) = all_0_67_67
% 37.20/10.42 |
% 37.20/10.42 | From (1143) and (232) follows:
% 37.20/10.42 | (1542) op(e2, e1) = all_0_38_38
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (23), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (600) all_0_85_85 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (600) can reduce 1436 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.42 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (749), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (750) all_0_79_79 = e1
% 37.20/10.42 |
% 37.20/10.42 | Equations (750) can reduce 731 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.42 | (753) all_0_79_79 = e0
% 37.20/10.42 |
% 37.20/10.42 | From (753) and (87) follows:
% 37.20/10.42 | (1551) op(e0, e3) = all_0_36_36
% 37.20/10.42 |
% 37.20/10.42 | From (753) and (293) follows:
% 37.20/10.42 | (1552) op(e0, e1) = all_0_38_38
% 37.20/10.42 |
% 37.20/10.42 | From (753) and (31) follows:
% 37.20/10.42 | (1553) op(e1, e0) = all_0_47_47
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (94), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (449) all_0_77_77 = e3
% 37.20/10.42 |
% 37.20/10.42 | Equations (449) can reduce 450 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (450) ~ (all_0_77_77 = e3)
% 37.20/10.42 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1546), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1558) all_0_85_85 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (1558) can reduce 1498 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1498) ~ (all_0_85_85 = e2)
% 37.20/10.42 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1169), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (418) all_0_77_77 = e2
% 37.20/10.42 |
% 37.20/10.42 | Equations (418) can reduce 423 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (423) ~ (all_0_77_77 = e2)
% 37.20/10.42 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 37.20/10.42 |
% 37.20/10.42 +-Applying beta-rule and splitting (1561), into two cases.
% 37.20/10.42 |-Branch one:
% 37.20/10.42 | (1566) all_0_85_85 = e1
% 37.20/10.42 |
% 37.20/10.42 | Equations (1566) can reduce 1540 to:
% 37.20/10.42 | (304) $false
% 37.20/10.42 |
% 37.20/10.42 |-The branch is then unsatisfiable
% 37.20/10.42 |-Branch two:
% 37.20/10.42 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.42 | (1569) all_0_85_85 = e0
% 37.20/10.42 |
% 37.20/10.42 | Equations (1569) can reduce 85 to:
% 37.20/10.42 | (482) ~ (all_0_77_77 = e0)
% 37.20/10.43 |
% 37.20/10.43 | From (1569) and (186) follows:
% 37.20/10.43 | (1571) op(e0, e2) = all_0_61_61
% 37.20/10.43 |
% 37.20/10.43 | From (1569) and (280) follows:
% 37.20/10.43 | (1172) op(e0, e1) = all_0_62_62
% 37.20/10.43 |
% 37.20/10.43 | From (1569) and (115) follows:
% 37.20/10.43 | (1573) op(e3, e0) = all_0_21_21
% 37.20/10.43 |
% 37.20/10.43 | From (1569) and (36) follows:
% 37.20/10.43 | (1574) op(e1, e0) = all_0_53_53
% 37.20/10.43 |
% 37.20/10.43 | From (1569) and (72) follows:
% 37.20/10.43 | (1108) op(e0, e2) = e0
% 37.20/10.43 |
% 37.20/10.43 +-Applying beta-rule and splitting (1176), into two cases.
% 37.20/10.43 |-Branch one:
% 37.20/10.43 | (465) all_0_77_77 = e1
% 37.20/10.43 |
% 37.20/10.43 | Equations (465) can reduce 482 to:
% 37.20/10.43 | (69) ~ (e1 = e0)
% 37.20/10.43 |
% 37.20/10.43 | From (465) and (247) follows:
% 37.20/10.43 | (1578) op(e1, e2) = all_0_29_29
% 37.20/10.43 |
% 37.20/10.43 | From (465) and (14) follows:
% 37.20/10.43 | (1579) op(e2, e1) = all_0_29_29
% 37.20/10.43 |
% 37.20/10.43 | From (465) and (220) follows:
% 37.20/10.43 | (1580) op(e0, e1) = all_0_61_61
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e3, e0, all_0_21_21, all_0_16_16 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = all_0_21_21, yields:
% 37.20/10.43 | (1581) all_0_16_16 = all_0_21_21
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e3, e0, all_0_35_35, all_0_21_21 and discharging atoms op(e3, e0) = all_0_21_21, op(e3, e0) = all_0_35_35, yields:
% 37.20/10.43 | (1582) all_0_21_21 = all_0_35_35
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e3, e0, all_0_59_59, all_0_21_21 and discharging atoms op(e3, e0) = all_0_21_21, op(e3, e0) = all_0_59_59, yields:
% 37.20/10.43 | (1583) all_0_21_21 = all_0_59_59
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_29_29 and discharging atoms op(e2, e1) = all_0_29_29, op(e2, e1) = all_0_38_38, yields:
% 37.20/10.43 | (1584) all_0_29_29 = all_0_38_38
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e1, e2, all_0_29_29, e3 and discharging atoms op(e1, e2) = all_0_29_29, op(e1, e2) = e3, yields:
% 37.20/10.43 | (1585) all_0_29_29 = e3
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e1, e0, all_0_47_47, all_0_42_42 and discharging atoms op(e1, e0) = all_0_42_42, op(e1, e0) = all_0_47_47, yields:
% 37.20/10.43 | (1586) all_0_42_42 = all_0_47_47
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e1, e0, all_0_53_53, all_0_47_47 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = all_0_53_53, yields:
% 37.20/10.43 | (1587) all_0_47_47 = all_0_53_53
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e1, e0, all_0_67_67, all_0_53_53 and discharging atoms op(e1, e0) = all_0_53_53, op(e1, e0) = all_0_67_67, yields:
% 37.20/10.43 | (1588) all_0_53_53 = all_0_67_67
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e1, e0, e1, all_0_47_47 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = e1, yields:
% 37.20/10.43 | (1589) all_0_47_47 = e1
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e3, all_0_62_62, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, op(e0, e3) = all_0_62_62, yields:
% 37.20/10.43 | (1590) all_0_36_36 = all_0_62_62
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e3, all_0_62_62, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_62_62, yields:
% 37.20/10.43 | (1591) all_0_59_59 = all_0_62_62
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e3, all_0_65_65, all_0_36_36 and discharging atoms op(e0, e3) = all_0_36_36, op(e0, e3) = all_0_65_65, yields:
% 37.20/10.43 | (1592) all_0_36_36 = all_0_65_65
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e3, e2, all_0_16_16 and discharging atoms op(e0, e3) = all_0_16_16, op(e0, e3) = e2, yields:
% 37.20/10.43 | (724) all_0_16_16 = e2
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e2, all_0_61_61, all_0_17_17 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = all_0_61_61, yields:
% 37.20/10.43 | (1594) all_0_17_17 = all_0_61_61
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e2, e0, all_0_17_17 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e0, yields:
% 37.20/10.43 | (1595) all_0_17_17 = e0
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e1, all_0_42_42, all_0_38_38 and discharging atoms op(e0, e1) = all_0_38_38, op(e0, e1) = all_0_42_42, yields:
% 37.20/10.43 | (1596) all_0_38_38 = all_0_42_42
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e1, all_0_62_62, all_0_42_42 and discharging atoms op(e0, e1) = all_0_42_42, op(e0, e1) = all_0_62_62, yields:
% 37.20/10.43 | (1200) all_0_42_42 = all_0_62_62
% 37.20/10.43 |
% 37.20/10.43 | Instantiating formula (268) with e0, e1, all_0_67_67, all_0_61_61 and discharging atoms op(e0, e1) = all_0_61_61, op(e0, e1) = all_0_67_67, yields:
% 37.20/10.43 | (1196) all_0_61_61 = all_0_67_67
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1581,724) yields a new equation:
% 37.20/10.43 | (1599) all_0_21_21 = e2
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1599 yields:
% 37.20/10.43 | (1600) all_0_21_21 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1594,1595) yields a new equation:
% 37.20/10.43 | (1601) all_0_61_61 = e0
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1601 yields:
% 37.20/10.43 | (1360) all_0_61_61 = e0
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1583,1582) yields a new equation:
% 37.20/10.43 | (1603) all_0_35_35 = all_0_59_59
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1600,1582) yields a new equation:
% 37.20/10.43 | (1604) all_0_35_35 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1585,1584) yields a new equation:
% 37.20/10.43 | (1605) all_0_38_38 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1603,1604) yields a new equation:
% 37.20/10.43 | (1606) all_0_59_59 = e2
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1606 yields:
% 37.20/10.43 | (1607) all_0_59_59 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1590,1592) yields a new equation:
% 37.20/10.43 | (1608) all_0_62_62 = all_0_65_65
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1608 yields:
% 37.20/10.43 | (1194) all_0_62_62 = all_0_65_65
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1596,1605) yields a new equation:
% 37.20/10.43 | (1610) all_0_42_42 = e3
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1610 yields:
% 37.20/10.43 | (1611) all_0_42_42 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1200,1611) yields a new equation:
% 37.20/10.43 | (1612) all_0_62_62 = e3
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1612 yields:
% 37.20/10.43 | (1195) all_0_62_62 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1586,1611) yields a new equation:
% 37.20/10.43 | (1614) all_0_47_47 = e3
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1614 yields:
% 37.20/10.43 | (1615) all_0_47_47 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1587,1615) yields a new equation:
% 37.20/10.43 | (1616) all_0_53_53 = e3
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1616 yields:
% 37.20/10.43 | (1617) all_0_53_53 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1589,1615) yields a new equation:
% 37.20/10.43 | (1017) e3 = e1
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1617,1588) yields a new equation:
% 37.20/10.43 | (1619) all_0_67_67 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1591,1607) yields a new equation:
% 37.20/10.43 | (1207) all_0_62_62 = e2
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1207 yields:
% 37.20/10.43 | (1208) all_0_62_62 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1196,1360) yields a new equation:
% 37.20/10.43 | (1622) all_0_67_67 = e0
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1622 yields:
% 37.20/10.43 | (1623) all_0_67_67 = e0
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1208,1194) yields a new equation:
% 37.20/10.43 | (1624) all_0_65_65 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1195,1194) yields a new equation:
% 37.20/10.43 | (1214) all_0_65_65 = e3
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1214,1624) yields a new equation:
% 37.20/10.43 | (1626) e3 = e2
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1626 yields:
% 37.20/10.43 | (1215) e3 = e2
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1619,1623) yields a new equation:
% 37.20/10.43 | (1216) e3 = e0
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1216 yields:
% 37.20/10.43 | (1217) e3 = e0
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1017,1215) yields a new equation:
% 37.20/10.43 | (1219) e2 = e1
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1217,1215) yields a new equation:
% 37.20/10.43 | (1221) e2 = e0
% 37.20/10.43 |
% 37.20/10.43 | Combining equations (1219,1221) yields a new equation:
% 37.20/10.43 | (1632) e1 = e0
% 37.20/10.43 |
% 37.20/10.43 | Simplifying 1632 yields:
% 37.20/10.43 | (1222) e1 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (1222) can reduce 69 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (466) ~ (all_0_77_77 = e1)
% 37.20/10.43 | (481) all_0_77_77 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (481) can reduce 482 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (1090) ~ (all_0_86_86 = e1)
% 37.20/10.43 | (1146) all_0_86_86 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (1146) can reduce 1472 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (1088) ~ (all_0_83_83 = e1)
% 37.20/10.43 | (1136) all_0_83_83 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (1136) can reduce 1470 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (718) ~ (all_0_75_75 = e3)
% 37.20/10.43 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.20/10.43 |
% 37.20/10.43 +-Applying beta-rule and splitting (1128), into two cases.
% 37.20/10.43 |-Branch one:
% 37.20/10.43 | (1133) all_0_83_83 = e1
% 37.20/10.43 |
% 37.20/10.43 | Equations (1133) can reduce 88 to:
% 37.20/10.43 | (728) ~ (all_0_75_75 = e1)
% 37.20/10.43 |
% 37.20/10.43 +-Applying beta-rule and splitting (719), into two cases.
% 37.20/10.43 |-Branch one:
% 37.20/10.43 | (736) all_0_75_75 = e2
% 37.20/10.43 |
% 37.20/10.43 | Equations (736) can reduce 645 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (645) ~ (all_0_75_75 = e2)
% 37.20/10.43 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 37.20/10.43 |
% 37.20/10.43 +-Applying beta-rule and splitting (739), into two cases.
% 37.20/10.43 |-Branch one:
% 37.20/10.43 | (740) all_0_75_75 = e1
% 37.20/10.43 |
% 37.20/10.43 | Equations (740) can reduce 728 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (728) ~ (all_0_75_75 = e1)
% 37.20/10.43 | (743) all_0_75_75 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (743) can reduce 1030 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (1088) ~ (all_0_83_83 = e1)
% 37.20/10.43 | (1136) all_0_83_83 = e0
% 37.20/10.43 |
% 37.20/10.43 | Equations (1136) can reduce 1470 to:
% 37.20/10.43 | (304) $false
% 37.20/10.43 |
% 37.20/10.43 |-The branch is then unsatisfiable
% 37.20/10.43 |-Branch two:
% 37.20/10.43 | (1059) ~ (all_0_84_84 = e3)
% 37.20/10.43 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.20/10.43 |
% 37.20/10.43 +-Applying beta-rule and splitting (123), into two cases.
% 37.20/10.43 |-Branch one:
% 37.20/10.43 | (1114) all_0_86_86 = e3
% 37.20/10.44 |
% 37.20/10.44 | Equations (1114) can reduce 1061 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.44 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1117), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (1129) all_0_86_86 = e2
% 37.20/10.44 |
% 37.20/10.44 | Equations (1129) can reduce 1106 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1106) ~ (all_0_86_86 = e2)
% 37.20/10.44 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1661), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (618) all_0_84_84 = e2
% 37.20/10.44 |
% 37.20/10.44 | Equations (618) can reduce 1050 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1050) ~ (all_0_84_84 = e2)
% 37.20/10.44 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1132), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (1143) all_0_86_86 = e1
% 37.20/10.44 |
% 37.20/10.44 | Equations (1143) can reduce 51 to:
% 37.20/10.44 | (1675) ~ (all_0_84_84 = e1)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1143) can reduce 130 to:
% 37.20/10.44 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (23), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (600) all_0_85_85 = e3
% 37.20/10.44 |
% 37.20/10.44 | Equations (600) can reduce 1436 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.44 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1546), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (1558) all_0_85_85 = e2
% 37.20/10.44 |
% 37.20/10.44 | Equations (1558) can reduce 1498 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1498) ~ (all_0_85_85 = e2)
% 37.20/10.44 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1561), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (1566) all_0_85_85 = e1
% 37.20/10.44 |
% 37.20/10.44 | Equations (1566) can reduce 1540 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.44 | (1569) all_0_85_85 = e0
% 37.20/10.44 |
% 37.20/10.44 | Equations (1569) can reduce 81 to:
% 37.20/10.44 | (1055) ~ (all_0_84_84 = e0)
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1673), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (1085) all_0_84_84 = e1
% 37.20/10.44 |
% 37.20/10.44 | Equations (1085) can reduce 1675 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1675) ~ (all_0_84_84 = e1)
% 37.20/10.44 | (1280) all_0_84_84 = e0
% 37.20/10.44 |
% 37.20/10.44 | Equations (1280) can reduce 1055 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1090) ~ (all_0_86_86 = e1)
% 37.20/10.44 | (1146) all_0_86_86 = e0
% 37.20/10.44 |
% 37.20/10.44 | Equations (1146) can reduce 1472 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (622) ~ (unit = e2)
% 37.20/10.44 | (1271) unit = e1 | unit = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (1271), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (436) unit = e1
% 37.20/10.44 |
% 37.20/10.44 | Equations (436) can reduce 404 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (404) ~ (unit = e1)
% 37.20/10.44 | (441) unit = e0
% 37.20/10.44 |
% 37.20/10.44 | Equations (441) can reduce 402 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (1282) all_0_8_8 = e2
% 37.20/10.44 | (403) ~ (all_0_72_72 = e1)
% 37.20/10.44 |
% 37.20/10.44 | Equations (434) can reduce 403 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (348) all_0_7_7 = e3
% 37.20/10.44 | (500) all_0_4_4 = e0
% 37.20/10.44 |
% 37.20/10.44 | Equations (500) can reduce 97 to:
% 37.20/10.44 | (1710) ~ (all_0_5_5 = e0)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 1710 yields:
% 37.20/10.44 | (298) ~ (all_0_5_5 = e0)
% 37.20/10.44 |
% 37.20/10.44 | Equations (348) can reduce 105 to:
% 37.20/10.44 | (389) ~ (all_0_5_5 = e3)
% 37.20/10.44 |
% 37.20/10.44 | From (500) and (289) follows:
% 37.20/10.44 | (1713) op(e3, e0) = unit
% 37.20/10.44 |
% 37.20/10.44 | From (348) and (243) follows:
% 37.20/10.44 | (1476) op(e0, e3) = unit
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (168), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (390) all_0_5_5 = e3
% 37.20/10.44 |
% 37.20/10.44 | Equations (390) can reduce 389 to:
% 37.20/10.44 | (304) $false
% 37.20/10.44 |
% 37.20/10.44 |-The branch is then unsatisfiable
% 37.20/10.44 |-Branch two:
% 37.20/10.44 | (389) ~ (all_0_5_5 = e3)
% 37.20/10.44 | (393) all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 37.20/10.44 |
% 37.20/10.44 +-Applying beta-rule and splitting (393), into two cases.
% 37.20/10.44 |-Branch one:
% 37.20/10.44 | (394) all_0_5_5 = e2
% 37.20/10.44 |
% 37.20/10.44 | From (394) and (197) follows:
% 37.20/10.44 | (396) op(e2, e2) = unit
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with e3, e0, unit, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = unit, yields:
% 37.20/10.44 | (1721) all_0_75_75 = unit
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with e2, e2, unit, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = unit, yields:
% 37.20/10.44 | (400) all_0_77_77 = unit
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with e0, e3, unit, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = unit, yields:
% 37.20/10.44 | (1723) all_0_84_84 = unit
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 132 to:
% 37.20/10.44 | (515) ~ (all_0_72_72 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (400) can reduce 66 to:
% 37.20/10.44 | (1725) ~ (all_0_73_73 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1721) can reduce 140 to:
% 37.20/10.44 | (517) ~ (all_0_74_74 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1721) can reduce 88 to:
% 37.20/10.44 | (1727) ~ (all_0_83_83 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 1727 yields:
% 37.20/10.44 | (364) ~ (all_0_83_83 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 202 to:
% 37.20/10.44 | (1729) ~ (all_0_76_76 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (400) can reduce 198 to:
% 37.20/10.44 | (526) ~ (all_0_78_78 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 526 yields:
% 37.20/10.44 | (527) ~ (all_0_78_78 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (400) can reduce 222 to:
% 37.20/10.44 | (528) ~ (all_0_79_79 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 528 yields:
% 37.20/10.44 | (529) ~ (all_0_79_79 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (400) can reduce 126 to:
% 37.20/10.44 | (520) ~ (all_0_81_81 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 520 yields:
% 37.20/10.44 | (521) ~ (all_0_81_81 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 279 to:
% 37.20/10.44 | (531) ~ (all_0_80_80 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 81 to:
% 37.20/10.44 | (522) ~ (all_0_85_85 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 522 yields:
% 37.20/10.44 | (523) ~ (all_0_85_85 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 51 to:
% 37.20/10.44 | (1739) ~ (all_0_86_86 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 1739 yields:
% 37.20/10.44 | (365) ~ (all_0_86_86 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Equations (1723) can reduce 191 to:
% 37.20/10.44 | (1741) ~ (all_0_87_87 = unit)
% 37.20/10.44 |
% 37.20/10.44 | Simplifying 1741 yields:
% 37.20/10.44 | (1742) ~ (all_0_87_87 = unit)
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (15) follows:
% 37.20/10.44 | (1743) op(unit, e3) = all_0_20_20
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (77) follows:
% 37.20/10.44 | (1744) op(unit, e2) = all_0_21_21
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (201) follows:
% 37.20/10.44 | (1745) op(unit, e1) = all_0_22_22
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (163) follows:
% 37.20/10.44 | (1746) op(unit, e0) = all_0_23_23
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (45) follows:
% 37.20/10.44 | (1747) op(unit, e3) = all_0_28_28
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (247) follows:
% 37.20/10.44 | (1748) op(unit, e2) = all_0_29_29
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (80) follows:
% 37.20/10.44 | (1749) op(unit, e1) = all_0_30_30
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (200) follows:
% 37.20/10.44 | (1750) op(unit, e0) = all_0_31_31
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (259) follows:
% 37.20/10.44 | (1751) op(unit, e3) = all_0_56_56
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (260) follows:
% 37.20/10.44 | (1752) op(unit, e2) = all_0_57_57
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (286) follows:
% 37.20/10.44 | (1753) op(unit, e1) = all_0_58_58
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (100) follows:
% 37.20/10.44 | (1754) op(e3, unit) = all_0_11_11
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (95) follows:
% 37.20/10.44 | (1755) op(e3, unit) = all_0_20_20
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (53) follows:
% 37.20/10.44 | (1756) op(e2, unit) = all_0_27_27
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (14) follows:
% 37.20/10.44 | (1757) op(e2, unit) = all_0_29_29
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (65) follows:
% 37.20/10.44 | (1758) op(e2, unit) = all_0_36_36
% 37.20/10.44 |
% 37.20/10.44 | From (400) and (41) follows:
% 37.20/10.44 | (396) op(e2, e2) = unit
% 37.20/10.44 |
% 37.20/10.44 | From (1721) and (91) follows:
% 37.20/10.44 | (1760) op(e1, unit) = all_0_43_43
% 37.20/10.44 |
% 37.20/10.44 | From (1723) and (194) follows:
% 37.20/10.44 | (1476) op(e0, e3) = unit
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with unit, e3, all_0_28_28, e3 and discharging atoms op(unit, e3) = all_0_28_28, op(unit, e3) = e3, yields:
% 37.20/10.44 | (1762) all_0_28_28 = e3
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with unit, e3, all_0_28_28, all_0_20_20 and discharging atoms op(unit, e3) = all_0_20_20, op(unit, e3) = all_0_28_28, yields:
% 37.20/10.44 | (1763) all_0_20_20 = all_0_28_28
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with unit, e3, all_0_56_56, all_0_20_20 and discharging atoms op(unit, e3) = all_0_20_20, op(unit, e3) = all_0_56_56, yields:
% 37.20/10.44 | (1764) all_0_20_20 = all_0_56_56
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with unit, e2, all_0_29_29, all_0_21_21 and discharging atoms op(unit, e2) = all_0_21_21, op(unit, e2) = all_0_29_29, yields:
% 37.20/10.44 | (1765) all_0_21_21 = all_0_29_29
% 37.20/10.44 |
% 37.20/10.44 | Instantiating formula (268) with unit, e2, all_0_57_57, all_0_21_21 and discharging atoms op(unit, e2) = all_0_21_21, op(unit, e2) = all_0_57_57, yields:
% 37.20/10.45 | (1766) all_0_21_21 = all_0_57_57
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with unit, e1, all_0_30_30, e1 and discharging atoms op(unit, e1) = all_0_30_30, op(unit, e1) = e1, yields:
% 37.20/10.45 | (1767) all_0_30_30 = e1
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with unit, e1, all_0_30_30, all_0_22_22 and discharging atoms op(unit, e1) = all_0_22_22, op(unit, e1) = all_0_30_30, yields:
% 37.20/10.45 | (1768) all_0_22_22 = all_0_30_30
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with unit, e1, all_0_58_58, all_0_22_22 and discharging atoms op(unit, e1) = all_0_22_22, op(unit, e1) = all_0_58_58, yields:
% 37.20/10.45 | (1769) all_0_22_22 = all_0_58_58
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with unit, e0, all_0_23_23, e0 and discharging atoms op(unit, e0) = all_0_23_23, op(unit, e0) = e0, yields:
% 37.20/10.45 | (1770) all_0_23_23 = e0
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with unit, e0, all_0_31_31, all_0_23_23 and discharging atoms op(unit, e0) = all_0_23_23, op(unit, e0) = all_0_31_31, yields:
% 37.20/10.45 | (1771) all_0_23_23 = all_0_31_31
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e3, unit, all_0_20_20, all_0_11_11 and discharging atoms op(e3, unit) = all_0_11_11, op(e3, unit) = all_0_20_20, yields:
% 37.20/10.45 | (1772) all_0_11_11 = all_0_20_20
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e2, unit, all_0_27_27, e2 and discharging atoms op(e2, unit) = all_0_27_27, op(e2, unit) = e2, yields:
% 37.20/10.45 | (1773) all_0_27_27 = e2
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e2, unit, all_0_29_29, all_0_27_27 and discharging atoms op(e2, unit) = all_0_27_27, op(e2, unit) = all_0_29_29, yields:
% 37.20/10.45 | (1774) all_0_27_27 = all_0_29_29
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e2, unit, all_0_36_36, all_0_27_27 and discharging atoms op(e2, unit) = all_0_27_27, op(e2, unit) = all_0_36_36, yields:
% 37.20/10.45 | (1775) all_0_27_27 = all_0_36_36
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e1, unit, all_0_43_43, e1 and discharging atoms op(e1, unit) = all_0_43_43, op(e1, unit) = e1, yields:
% 37.20/10.45 | (1776) all_0_43_43 = e1
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1763,1764) yields a new equation:
% 37.20/10.45 | (1777) all_0_28_28 = all_0_56_56
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1777 yields:
% 37.20/10.45 | (1778) all_0_28_28 = all_0_56_56
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1765,1766) yields a new equation:
% 37.20/10.45 | (1779) all_0_29_29 = all_0_57_57
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1779 yields:
% 37.20/10.45 | (1780) all_0_29_29 = all_0_57_57
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1768,1769) yields a new equation:
% 37.20/10.45 | (1781) all_0_30_30 = all_0_58_58
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1781 yields:
% 37.20/10.45 | (1782) all_0_30_30 = all_0_58_58
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1771,1770) yields a new equation:
% 37.20/10.45 | (1783) all_0_31_31 = e0
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1783 yields:
% 37.20/10.45 | (1784) all_0_31_31 = e0
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1774,1775) yields a new equation:
% 37.20/10.45 | (1785) all_0_29_29 = all_0_36_36
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1785 yields:
% 37.20/10.45 | (1786) all_0_29_29 = all_0_36_36
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1773,1775) yields a new equation:
% 37.20/10.45 | (1787) all_0_36_36 = e2
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1762,1778) yields a new equation:
% 37.20/10.45 | (1788) all_0_56_56 = e3
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1786,1780) yields a new equation:
% 37.20/10.45 | (1789) all_0_36_36 = all_0_57_57
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1789 yields:
% 37.20/10.45 | (1790) all_0_36_36 = all_0_57_57
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1782,1767) yields a new equation:
% 37.20/10.45 | (1791) all_0_58_58 = e1
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1791 yields:
% 37.20/10.45 | (1792) all_0_58_58 = e1
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1790,1787) yields a new equation:
% 37.20/10.45 | (1793) all_0_57_57 = e2
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1793 yields:
% 37.20/10.45 | (1794) all_0_57_57 = e2
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1794,1780) yields a new equation:
% 37.20/10.45 | (1795) all_0_29_29 = e2
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1787,1775) yields a new equation:
% 37.20/10.45 | (1773) all_0_27_27 = e2
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1788,1764) yields a new equation:
% 37.20/10.45 | (1797) all_0_20_20 = e3
% 37.20/10.45 |
% 37.20/10.45 | Combining equations (1797,1772) yields a new equation:
% 37.20/10.45 | (1798) all_0_11_11 = e3
% 37.20/10.45 |
% 37.20/10.45 | From (1795) and (287) follows:
% 37.20/10.45 | (1799) op(e2, e2) = all_0_3_3
% 37.20/10.45 |
% 37.20/10.45 | From (1798) and (128) follows:
% 37.20/10.45 | (1800) op(all_0_72_72, e0) = e3
% 37.20/10.45 |
% 37.20/10.45 | From (1773) and (99) follows:
% 37.20/10.45 | (1801) op(all_0_76_76, e0) = e2
% 37.20/10.45 |
% 37.20/10.45 | From (1787) and (87) follows:
% 37.20/10.45 | (1802) op(all_0_79_79, e3) = e2
% 37.20/10.45 |
% 37.20/10.45 | From (1776) and (153) follows:
% 37.20/10.45 | (1803) op(all_0_80_80, e0) = e1
% 37.20/10.45 |
% 37.20/10.45 | From (1788) and (1751) follows:
% 37.20/10.45 | (256) op(unit, e3) = e3
% 37.20/10.45 |
% 37.20/10.45 | From (1792) and (1753) follows:
% 37.20/10.45 | (101) op(unit, e1) = e1
% 37.20/10.45 |
% 37.20/10.45 | From (1770) and (158) follows:
% 37.20/10.45 | (1806) op(e3, all_0_87_87) = e0
% 37.20/10.45 |
% 37.20/10.45 | From (1797) and (1755) follows:
% 37.20/10.45 | (113) op(e3, unit) = e3
% 37.20/10.45 |
% 37.20/10.45 | From (1784) and (252) follows:
% 37.20/10.45 | (1808) op(e2, all_0_79_79) = e0
% 37.20/10.45 |
% 37.20/10.45 | From (1788) and (196) follows:
% 37.20/10.45 | (1809) op(e0, all_0_72_72) = e3
% 37.20/10.45 |
% 37.20/10.45 | From (1794) and (56) follows:
% 37.20/10.45 | (1810) op(e0, all_0_73_73) = e2
% 37.20/10.45 |
% 37.20/10.45 | From (1792) and (291) follows:
% 37.20/10.45 | (1811) op(e0, all_0_74_74) = e1
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e2, e2, all_0_3_3, unit and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = unit, yields:
% 37.20/10.45 | (1812) all_0_3_3 = unit
% 37.20/10.45 |
% 37.20/10.45 | From (1812) and (1799) follows:
% 37.20/10.45 | (396) op(e2, e2) = unit
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (135), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (575) ~ (all_0_2_2 = e1)
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (93), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (1815) ~ (all_0_2_2 = e2)
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (230), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (403) ~ (all_0_72_72 = e1)
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (133), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (405) ~ (all_0_72_72 = e3)
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (24), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (407) all_0_72_72 = e3
% 37.20/10.45 |
% 37.20/10.45 | Equations (407) can reduce 405 to:
% 37.20/10.45 | (304) $false
% 37.20/10.45 |
% 37.20/10.45 |-The branch is then unsatisfiable
% 37.20/10.45 |-Branch two:
% 37.20/10.45 | (405) ~ (all_0_72_72 = e3)
% 37.20/10.45 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (147), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (419) ~ (all_0_72_72 = e2)
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (412), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (413) all_0_72_72 = e2
% 37.20/10.45 |
% 37.20/10.45 | Equations (413) can reduce 419 to:
% 37.20/10.45 | (304) $false
% 37.20/10.45 |
% 37.20/10.45 |-The branch is then unsatisfiable
% 37.20/10.45 |-Branch two:
% 37.20/10.45 | (419) ~ (all_0_72_72 = e2)
% 37.20/10.45 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.20/10.45 |
% 37.20/10.45 +-Applying beta-rule and splitting (433), into two cases.
% 37.20/10.45 |-Branch one:
% 37.20/10.45 | (434) all_0_72_72 = e1
% 37.20/10.45 |
% 37.20/10.45 | Equations (434) can reduce 403 to:
% 37.20/10.45 | (304) $false
% 37.20/10.45 |
% 37.20/10.45 |-The branch is then unsatisfiable
% 37.20/10.45 |-Branch two:
% 37.20/10.45 | (403) ~ (all_0_72_72 = e1)
% 37.20/10.45 | (439) all_0_72_72 = e0
% 37.20/10.45 |
% 37.20/10.45 | Equations (439) can reduce 17 to:
% 37.20/10.45 | (1831) ~ (all_0_73_73 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1831 yields:
% 37.20/10.45 | (1832) ~ (all_0_73_73 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Equations (439) can reduce 134 to:
% 37.20/10.45 | (1833) ~ (all_0_74_74 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1833 yields:
% 37.20/10.45 | (688) ~ (all_0_74_74 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Equations (439) can reduce 249 to:
% 37.20/10.45 | (1835) ~ (all_0_76_76 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1835 yields:
% 37.20/10.45 | (1836) ~ (all_0_76_76 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Equations (439) can reduce 292 to:
% 37.20/10.45 | (1837) ~ (all_0_80_80 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1837 yields:
% 37.20/10.45 | (1260) ~ (all_0_80_80 = e0)
% 37.20/10.45 |
% 37.20/10.45 | Equations (439) can reduce 515 to:
% 37.20/10.45 | (1031) ~ (unit = e0)
% 37.20/10.45 |
% 37.20/10.45 | Simplifying 1031 yields:
% 37.20/10.45 | (402) ~ (unit = e0)
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (4) follows:
% 37.20/10.45 | (591) op(e0, e3) = all_0_8_8
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (3) follows:
% 37.20/10.45 | (1842) op(e0, e2) = all_0_9_9
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (35) follows:
% 37.20/10.45 | (1843) op(e0, e1) = all_0_10_10
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (149) follows:
% 37.20/10.45 | (1844) op(e2, e0) = all_0_24_24
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (82) follows:
% 37.20/10.45 | (1845) op(e1, e0) = all_0_40_40
% 37.20/10.45 |
% 37.20/10.45 | From (439) and (1809) follows:
% 37.20/10.45 | (1846) op(e0, e0) = e3
% 37.20/10.45 |
% 37.20/10.45 | Instantiating formula (268) with e2, e0, all_0_24_24, all_0_79_79 and discharging atoms op(e2, e0) = all_0_24_24, op(e2, e0) = all_0_79_79, yields:
% 37.20/10.46 | (1847) all_0_24_24 = all_0_79_79
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e1, e0, all_0_40_40, all_0_83_83 and discharging atoms op(e1, e0) = all_0_40_40, op(e1, e0) = all_0_83_83, yields:
% 37.20/10.46 | (1848) all_0_40_40 = all_0_83_83
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e3, all_0_8_8, unit and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = unit, yields:
% 37.20/10.46 | (652) all_0_8_8 = unit
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e2, all_0_9_9, all_0_85_85 and discharging atoms op(e0, e2) = all_0_9_9, op(e0, e2) = all_0_85_85, yields:
% 37.20/10.46 | (1850) all_0_9_9 = all_0_85_85
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e1, all_0_10_10, all_0_86_86 and discharging atoms op(e0, e1) = all_0_10_10, op(e0, e1) = all_0_86_86, yields:
% 37.20/10.46 | (1851) all_0_10_10 = all_0_86_86
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e0, e3, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = e3, yields:
% 37.20/10.46 | (447) all_0_87_87 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (447) can reduce 146 to:
% 37.20/10.46 | (659) ~ (all_0_79_79 = e3)
% 37.20/10.46 |
% 37.20/10.46 | Equations (447) can reduce 182 to:
% 37.20/10.46 | (1058) ~ (all_0_83_83 = e3)
% 37.20/10.46 |
% 37.20/10.46 | Equations (447) can reduce 156 to:
% 37.20/10.46 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.46 |
% 37.20/10.46 | Equations (447) can reduce 234 to:
% 37.20/10.46 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.46 |
% 37.20/10.46 | Equations (447) can reduce 1742 to:
% 37.20/10.46 | (607) ~ (unit = e3)
% 37.20/10.46 |
% 37.20/10.46 | Simplifying 607 yields:
% 37.20/10.46 | (406) ~ (unit = e3)
% 37.20/10.46 |
% 37.20/10.46 | From (1847) and (270) follows:
% 37.20/10.46 | (1859) op(all_0_76_76, e3) = all_0_79_79
% 37.20/10.46 |
% 37.20/10.46 | From (1848) and (117) follows:
% 37.20/10.46 | (1860) op(all_0_80_80, e3) = all_0_83_83
% 37.20/10.46 |
% 37.20/10.46 | From (447) and (225) follows:
% 37.20/10.46 | (1861) op(e3, e0) = all_0_71_71
% 37.20/10.46 |
% 37.20/10.46 | From (1850) and (137) follows:
% 37.20/10.46 | (1862) op(e3, all_0_73_73) = all_0_85_85
% 37.20/10.46 |
% 37.20/10.46 | From (1851) and (70) follows:
% 37.20/10.46 | (1863) op(e3, all_0_74_74) = all_0_86_86
% 37.20/10.46 |
% 37.20/10.46 | From (447) and (1806) follows:
% 37.20/10.46 | (1864) op(e3, e3) = e0
% 37.20/10.46 |
% 37.20/10.46 | From (447) and (55) follows:
% 37.20/10.46 | (1865) op(e0, e3) = all_0_71_71
% 37.20/10.46 |
% 37.20/10.46 | From (652) and (591) follows:
% 37.20/10.46 | (1476) op(e0, e3) = unit
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e3, all_0_71_71, unit and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = unit, yields:
% 37.20/10.46 | (1867) all_0_71_71 = unit
% 37.20/10.46 |
% 37.20/10.46 | From (1867) and (1861) follows:
% 37.20/10.46 | (1713) op(e3, e0) = unit
% 37.20/10.46 |
% 37.20/10.46 | From (1867) and (1865) follows:
% 37.20/10.46 | (1476) op(e0, e3) = unit
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (74), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (679) all_0_75_75 = e3
% 37.20/10.46 |
% 37.20/10.46 | Combining equations (679,1721) yields a new equation:
% 37.20/10.46 | (409) unit = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (409) can reduce 406 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (718) ~ (all_0_75_75 = e3)
% 37.20/10.46 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (1721) can reduce 718 to:
% 37.20/10.46 | (406) ~ (unit = e3)
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (240), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1073) all_0_84_84 = e3
% 37.20/10.46 |
% 37.20/10.46 | Combining equations (1073,1723) yields a new equation:
% 37.20/10.46 | (409) unit = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (409) can reduce 406 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1059) ~ (all_0_84_84 = e3)
% 37.20/10.46 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (1723) can reduce 1059 to:
% 37.20/10.46 | (406) ~ (unit = e3)
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (241), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (448) all_0_82_82 = e3
% 37.20/10.46 |
% 37.20/10.46 | Combining equations (317,448) yields a new equation:
% 37.20/10.46 | (408) unit = e3
% 37.20/10.46 |
% 37.20/10.46 | Simplifying 408 yields:
% 37.20/10.46 | (409) unit = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (409) can reduce 406 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (454) ~ (all_0_82_82 = e3)
% 37.20/10.46 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (19), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (673) all_0_76_76 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (673) can reduce 173 to:
% 37.20/10.46 | (1889) ~ (all_0_80_80 = e3)
% 37.20/10.46 |
% 37.20/10.46 | Simplifying 1889 yields:
% 37.20/10.46 | (1250) ~ (all_0_80_80 = e3)
% 37.20/10.46 |
% 37.20/10.46 | From (673) and (1859) follows:
% 37.20/10.46 | (682) op(e3, e3) = all_0_79_79
% 37.20/10.46 |
% 37.20/10.46 | From (673) and (1801) follows:
% 37.20/10.46 | (1892) op(e3, e0) = e2
% 37.20/10.46 |
% 37.20/10.46 | From (673) and (273) follows:
% 37.20/10.46 | (1893) op(e3, e3) = all_0_12_12
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e3, e3, all_0_12_12, e0 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = e0, yields:
% 37.20/10.46 | (1894) all_0_12_12 = e0
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e3, e3, all_0_79_79, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_79_79, yields:
% 37.20/10.46 | (1895) all_0_12_12 = all_0_79_79
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e3, e0, e2, unit and discharging atoms op(e3, e0) = unit, op(e3, e0) = e2, yields:
% 37.20/10.46 | (415) unit = e2
% 37.20/10.46 |
% 37.20/10.46 | Combining equations (1894,1895) yields a new equation:
% 37.20/10.46 | (753) all_0_79_79 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (753) can reduce 44 to:
% 37.20/10.46 | (1469) ~ (all_0_83_83 = e0)
% 37.20/10.46 |
% 37.20/10.46 | Simplifying 1469 yields:
% 37.20/10.46 | (1470) ~ (all_0_83_83 = e0)
% 37.20/10.46 |
% 37.20/10.46 | Equations (415) can reduce 531 to:
% 37.20/10.46 | (1103) ~ (all_0_80_80 = e2)
% 37.20/10.46 |
% 37.20/10.46 | Equations (415) can reduce 364 to:
% 37.20/10.46 | (1105) ~ (all_0_83_83 = e2)
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (245), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1015) all_0_80_80 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (1015) can reduce 1250 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1250) ~ (all_0_80_80 = e3)
% 37.20/10.46 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (1251), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (843) all_0_80_80 = e2
% 37.20/10.46 |
% 37.20/10.46 | Equations (843) can reduce 1103 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1103) ~ (all_0_80_80 = e2)
% 37.20/10.46 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (151), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1110) all_0_83_83 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (1110) can reduce 1058 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1058) ~ (all_0_83_83 = e3)
% 37.20/10.46 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (1264), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1013) all_0_80_80 = e1
% 37.20/10.46 |
% 37.20/10.46 | Equations (1013) can reduce 217 to:
% 37.20/10.46 | (1915) ~ (all_0_83_83 = e1)
% 37.20/10.46 |
% 37.20/10.46 | Simplifying 1915 yields:
% 37.20/10.46 | (1088) ~ (all_0_83_83 = e1)
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (1113), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1125) all_0_83_83 = e2
% 37.20/10.46 |
% 37.20/10.46 | Equations (1125) can reduce 1105 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1105) ~ (all_0_83_83 = e2)
% 37.20/10.46 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (1128), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (1133) all_0_83_83 = e1
% 37.20/10.46 |
% 37.20/10.46 | Equations (1133) can reduce 1088 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1088) ~ (all_0_83_83 = e1)
% 37.20/10.46 | (1136) all_0_83_83 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (1136) can reduce 1470 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1087) ~ (all_0_80_80 = e1)
% 37.20/10.46 | (1268) all_0_80_80 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (1268) can reduce 1260 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (677) ~ (all_0_76_76 = e3)
% 37.20/10.46 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (11), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (691) all_0_74_74 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (691) can reduce 199 to:
% 37.20/10.46 | (882) ~ (all_0_73_73 = e3)
% 37.20/10.46 |
% 37.20/10.46 | From (691) and (67) follows:
% 37.20/10.46 | (721) op(e3, e3) = all_0_16_16
% 37.20/10.46 |
% 37.20/10.46 | From (691) and (1863) follows:
% 37.20/10.46 | (1934) op(e3, e3) = all_0_86_86
% 37.20/10.46 |
% 37.20/10.46 | From (691) and (1811) follows:
% 37.20/10.46 | (1935) op(e0, e3) = e1
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e3, e3, all_0_16_16, e0 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e0, yields:
% 37.20/10.46 | (1936) all_0_16_16 = e0
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e3, e3, all_0_86_86, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_86_86, yields:
% 37.20/10.46 | (1937) all_0_16_16 = all_0_86_86
% 37.20/10.46 |
% 37.20/10.46 | Instantiating formula (268) with e0, e3, e1, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e1, yields:
% 37.20/10.46 | (436) unit = e1
% 37.20/10.46 |
% 37.20/10.46 | Combining equations (1936,1937) yields a new equation:
% 37.20/10.46 | (1146) all_0_86_86 = e0
% 37.20/10.46 |
% 37.20/10.46 | Equations (436) can reduce 1725 to:
% 37.20/10.46 | (894) ~ (all_0_73_73 = e1)
% 37.20/10.46 |
% 37.20/10.46 | Equations (1146) can reduce 130 to:
% 37.20/10.46 | (1941) ~ (all_0_85_85 = e0)
% 37.20/10.46 |
% 37.20/10.46 | Equations (436) can reduce 523 to:
% 37.20/10.46 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (71), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (878) all_0_73_73 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (878) can reduce 882 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (882) ~ (all_0_73_73 = e3)
% 37.20/10.46 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (23), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.46 | (600) all_0_85_85 = e3
% 37.20/10.46 |
% 37.20/10.46 | Equations (600) can reduce 1436 to:
% 37.20/10.46 | (304) $false
% 37.20/10.46 |
% 37.20/10.46 |-The branch is then unsatisfiable
% 37.20/10.46 |-Branch two:
% 37.20/10.46 | (1436) ~ (all_0_85_85 = e3)
% 37.20/10.46 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.46 |
% 37.20/10.46 +-Applying beta-rule and splitting (1546), into two cases.
% 37.20/10.46 |-Branch one:
% 37.20/10.47 | (1558) all_0_85_85 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (1558) can reduce 296 to:
% 37.20/10.47 | (888) ~ (all_0_73_73 = e2)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (883), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (884) all_0_73_73 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (884) can reduce 888 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (888) ~ (all_0_73_73 = e2)
% 37.20/10.47 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (889), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (890) all_0_73_73 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (890) can reduce 894 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (894) ~ (all_0_73_73 = e1)
% 37.20/10.47 | (895) all_0_73_73 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (895) can reduce 1832 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1498) ~ (all_0_85_85 = e2)
% 37.20/10.47 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (1561), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1566) all_0_85_85 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (1566) can reduce 1540 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1540) ~ (all_0_85_85 = e1)
% 37.20/10.47 | (1569) all_0_85_85 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (1569) can reduce 1941 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (680) ~ (all_0_74_74 = e3)
% 37.20/10.47 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (151), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1110) all_0_83_83 = e3
% 37.20/10.47 |
% 37.20/10.47 | Equations (1110) can reduce 1058 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1058) ~ (all_0_83_83 = e3)
% 37.20/10.47 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (245), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1015) all_0_80_80 = e3
% 37.20/10.47 |
% 37.20/10.47 | From (1015) and (1860) follows:
% 37.20/10.47 | (1976) op(e3, e3) = all_0_83_83
% 37.20/10.47 |
% 37.20/10.47 | From (1015) and (1803) follows:
% 37.20/10.47 | (1977) op(e3, e0) = e1
% 37.20/10.47 |
% 37.20/10.47 | From (1015) and (159) follows:
% 37.20/10.47 | (721) op(e3, e3) = all_0_16_16
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e3, e3, all_0_16_16, e0 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e0, yields:
% 37.20/10.47 | (1936) all_0_16_16 = e0
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e3, e3, all_0_83_83, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_83_83, yields:
% 37.20/10.47 | (1980) all_0_16_16 = all_0_83_83
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e3, e0, e1, unit and discharging atoms op(e3, e0) = unit, op(e3, e0) = e1, yields:
% 37.20/10.47 | (436) unit = e1
% 37.20/10.47 |
% 37.20/10.47 | Combining equations (1936,1980) yields a new equation:
% 37.20/10.47 | (1136) all_0_83_83 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (436) can reduce 1729 to:
% 37.20/10.47 | (797) ~ (all_0_76_76 = e1)
% 37.20/10.47 |
% 37.20/10.47 | Equations (1136) can reduce 44 to:
% 37.20/10.47 | (745) ~ (all_0_79_79 = e0)
% 37.20/10.47 |
% 37.20/10.47 | Equations (436) can reduce 529 to:
% 37.20/10.47 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (184), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (598) all_0_79_79 = e3
% 37.20/10.47 |
% 37.20/10.47 | Equations (598) can reduce 659 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (659) ~ (all_0_79_79 = e3)
% 37.20/10.47 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (678), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (761) all_0_76_76 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (761) can reduce 297 to:
% 37.20/10.47 | (729) ~ (all_0_79_79 = e2)
% 37.20/10.47 |
% 37.20/10.47 | Simplifying 729 yields:
% 37.20/10.47 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (735), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (687) all_0_79_79 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (687) can reduce 730 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.47 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (749), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (750) all_0_79_79 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (750) can reduce 731 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.47 | (753) all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (753) can reduce 745 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (765) ~ (all_0_76_76 = e2)
% 37.20/10.47 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (766), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (781) all_0_76_76 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (781) can reduce 797 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (797) ~ (all_0_76_76 = e1)
% 37.20/10.47 | (798) all_0_76_76 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (798) can reduce 1836 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1250) ~ (all_0_80_80 = e3)
% 37.20/10.47 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (123), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1114) all_0_86_86 = e3
% 37.20/10.47 |
% 37.20/10.47 | Equations (1114) can reduce 1061 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1061) ~ (all_0_86_86 = e3)
% 37.20/10.47 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (184), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (598) all_0_79_79 = e3
% 37.20/10.47 |
% 37.20/10.47 | Equations (598) can reduce 659 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (659) ~ (all_0_79_79 = e3)
% 37.20/10.47 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (71), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (878) all_0_73_73 = e3
% 37.20/10.47 |
% 37.20/10.47 | From (878) and (295) follows:
% 37.20/10.47 | (1893) op(e3, e3) = all_0_12_12
% 37.20/10.47 |
% 37.20/10.47 | From (878) and (1862) follows:
% 37.20/10.47 | (2021) op(e3, e3) = all_0_85_85
% 37.20/10.47 |
% 37.20/10.47 | From (878) and (1810) follows:
% 37.20/10.47 | (612) op(e0, e3) = e2
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e3, e3, all_0_12_12, e0 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = e0, yields:
% 37.20/10.47 | (1894) all_0_12_12 = e0
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e3, e3, all_0_85_85, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_85_85, yields:
% 37.20/10.47 | (2024) all_0_12_12 = all_0_85_85
% 37.20/10.47 |
% 37.20/10.47 | Instantiating formula (268) with e0, e3, e2, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e2, yields:
% 37.20/10.47 | (415) unit = e2
% 37.20/10.47 |
% 37.20/10.47 | Combining equations (1894,2024) yields a new equation:
% 37.20/10.47 | (1569) all_0_85_85 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 517 to:
% 37.20/10.47 | (643) ~ (all_0_74_74 = e2)
% 37.20/10.47 |
% 37.20/10.47 | Equations (1569) can reduce 130 to:
% 37.20/10.47 | (1471) ~ (all_0_86_86 = e0)
% 37.20/10.47 |
% 37.20/10.47 | Simplifying 1471 yields:
% 37.20/10.47 | (1472) ~ (all_0_86_86 = e0)
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 365 to:
% 37.20/10.47 | (1106) ~ (all_0_86_86 = e2)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (694), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (699) all_0_74_74 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (699) can reduce 643 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (643) ~ (all_0_74_74 = e2)
% 37.20/10.47 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (1117), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1129) all_0_86_86 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (1129) can reduce 1106 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1106) ~ (all_0_86_86 = e2)
% 37.20/10.47 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (702), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (707) all_0_74_74 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (707) can reduce 32 to:
% 37.20/10.47 | (1089) ~ (all_0_86_86 = e1)
% 37.20/10.47 |
% 37.20/10.47 | Simplifying 1089 yields:
% 37.20/10.47 | (1090) ~ (all_0_86_86 = e1)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (1132), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (1143) all_0_86_86 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (1143) can reduce 1090 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1090) ~ (all_0_86_86 = e1)
% 37.20/10.47 | (1146) all_0_86_86 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (1146) can reduce 1472 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (715) ~ (all_0_74_74 = e1)
% 37.20/10.47 | (716) all_0_74_74 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (716) can reduce 688 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (882) ~ (all_0_73_73 = e3)
% 37.20/10.47 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (719), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (736) all_0_75_75 = e2
% 37.20/10.47 |
% 37.20/10.47 | Combining equations (736,1721) yields a new equation:
% 37.20/10.47 | (415) unit = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 1729 to:
% 37.20/10.47 | (765) ~ (all_0_76_76 = e2)
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 529 to:
% 37.20/10.47 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 531 to:
% 37.20/10.47 | (1103) ~ (all_0_80_80 = e2)
% 37.20/10.47 |
% 37.20/10.47 | Equations (415) can reduce 364 to:
% 37.20/10.47 | (1105) ~ (all_0_83_83 = e2)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (1251), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (843) all_0_80_80 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (843) can reduce 1103 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (1103) ~ (all_0_80_80 = e2)
% 37.20/10.47 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (678), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (761) all_0_76_76 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (761) can reduce 765 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (765) ~ (all_0_76_76 = e2)
% 37.20/10.47 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (766), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (781) all_0_76_76 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (781) can reduce 297 to:
% 37.20/10.47 | (2067) ~ (all_0_79_79 = e1)
% 37.20/10.47 |
% 37.20/10.47 | Simplifying 2067 yields:
% 37.20/10.47 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (735), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (687) all_0_79_79 = e2
% 37.20/10.47 |
% 37.20/10.47 | Equations (687) can reduce 730 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (730) ~ (all_0_79_79 = e2)
% 37.20/10.47 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 +-Applying beta-rule and splitting (749), into two cases.
% 37.20/10.47 |-Branch one:
% 37.20/10.47 | (750) all_0_79_79 = e1
% 37.20/10.47 |
% 37.20/10.47 | Equations (750) can reduce 731 to:
% 37.20/10.47 | (304) $false
% 37.20/10.47 |
% 37.20/10.47 |-The branch is then unsatisfiable
% 37.20/10.47 |-Branch two:
% 37.20/10.47 | (731) ~ (all_0_79_79 = e1)
% 37.20/10.47 | (753) all_0_79_79 = e0
% 37.20/10.47 |
% 37.20/10.47 | Equations (753) can reduce 44 to:
% 37.20/10.47 | (1469) ~ (all_0_83_83 = e0)
% 37.20/10.47 |
% 37.20/10.47 | Simplifying 1469 yields:
% 37.20/10.47 | (1470) ~ (all_0_83_83 = e0)
% 37.45/10.47 |
% 37.45/10.47 +-Applying beta-rule and splitting (1113), into two cases.
% 37.45/10.47 |-Branch one:
% 37.45/10.47 | (1125) all_0_83_83 = e2
% 37.45/10.47 |
% 37.45/10.47 | Equations (1125) can reduce 1105 to:
% 37.45/10.47 | (304) $false
% 37.45/10.47 |
% 37.45/10.47 |-The branch is then unsatisfiable
% 37.45/10.47 |-Branch two:
% 37.45/10.47 | (1105) ~ (all_0_83_83 = e2)
% 37.45/10.47 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.45/10.47 |
% 37.45/10.48 +-Applying beta-rule and splitting (1128), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (1133) all_0_83_83 = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (1133) can reduce 217 to:
% 37.45/10.48 | (1087) ~ (all_0_80_80 = e1)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (1264), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (1013) all_0_80_80 = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (1013) can reduce 1087 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (1087) ~ (all_0_80_80 = e1)
% 37.45/10.48 | (1268) all_0_80_80 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (1268) can reduce 1260 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (1088) ~ (all_0_83_83 = e1)
% 37.45/10.48 | (1136) all_0_83_83 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (1136) can reduce 1470 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (797) ~ (all_0_76_76 = e1)
% 37.45/10.48 | (798) all_0_76_76 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (798) can reduce 1836 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (645) ~ (all_0_75_75 = e2)
% 37.45/10.48 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (1721) can reduce 645 to:
% 37.45/10.48 | (622) ~ (unit = e2)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (1661), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (618) all_0_84_84 = e2
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (618,1723) yields a new equation:
% 37.45/10.48 | (415) unit = e2
% 37.45/10.48 |
% 37.45/10.48 | Equations (415) can reduce 622 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (1050) ~ (all_0_84_84 = e2)
% 37.45/10.48 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (1723) can reduce 1050 to:
% 37.45/10.48 | (622) ~ (unit = e2)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (853), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (417) all_0_82_82 = e2
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (317,417) yields a new equation:
% 37.45/10.48 | (414) unit = e2
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 414 yields:
% 37.45/10.48 | (415) unit = e2
% 37.45/10.48 |
% 37.45/10.48 | Equations (415) can reduce 622 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (427) ~ (all_0_82_82 = e2)
% 37.45/10.48 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (866), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (464) all_0_82_82 = e1
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (317,464) yields a new equation:
% 37.45/10.48 | (435) unit = e1
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 435 yields:
% 37.45/10.48 | (436) unit = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (436) can reduce 1725 to:
% 37.45/10.48 | (894) ~ (all_0_73_73 = e1)
% 37.45/10.48 |
% 37.45/10.48 | Equations (436) can reduce 517 to:
% 37.45/10.48 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (694), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (699) all_0_74_74 = e2
% 37.45/10.48 |
% 37.45/10.48 | Equations (699) can reduce 199 to:
% 37.45/10.48 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (883), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (884) all_0_73_73 = e2
% 37.45/10.48 |
% 37.45/10.48 | Equations (884) can reduce 888 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.48 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (889), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (890) all_0_73_73 = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (890) can reduce 894 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (894) ~ (all_0_73_73 = e1)
% 37.45/10.48 | (895) all_0_73_73 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (895) can reduce 1832 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (643) ~ (all_0_74_74 = e2)
% 37.45/10.48 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (702), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (707) all_0_74_74 = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (707) can reduce 715 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.48 | (716) all_0_74_74 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (716) can reduce 688 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (470) ~ (all_0_82_82 = e1)
% 37.45/10.48 | (480) all_0_82_82 = e0
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (317,480) yields a new equation:
% 37.45/10.48 | (440) unit = e0
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 440 yields:
% 37.45/10.48 | (441) unit = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (441) can reduce 402 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (413) all_0_72_72 = e2
% 37.45/10.48 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (4) follows:
% 37.45/10.48 | (648) op(e2, e3) = all_0_8_8
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (3) follows:
% 37.45/10.48 | (2142) op(e2, e2) = all_0_9_9
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (1800) follows:
% 37.45/10.48 | (595) op(e2, e0) = e3
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (2) follows:
% 37.45/10.48 | (2144) op(e3, e2) = all_0_8_8
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (149) follows:
% 37.45/10.48 | (2145) op(e2, e2) = all_0_24_24
% 37.45/10.48 |
% 37.45/10.48 | From (413) and (1809) follows:
% 37.45/10.48 | (592) op(e0, e2) = e3
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.45/10.48 | (2147) all_0_8_8 = all_0_73_73
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.45/10.48 | (2148) all_0_8_8 = all_0_76_76
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.45/10.48 | (2149) all_0_9_9 = unit
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e2, all_0_24_24, all_0_9_9 and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = all_0_24_24, yields:
% 37.45/10.48 | (2150) all_0_9_9 = all_0_24_24
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 37.45/10.48 | (598) all_0_79_79 = e3
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 37.45/10.48 | (600) all_0_85_85 = e3
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (2147,2148) yields a new equation:
% 37.45/10.48 | (2153) all_0_73_73 = all_0_76_76
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 2153 yields:
% 37.45/10.48 | (2154) all_0_73_73 = all_0_76_76
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (2150,2149) yields a new equation:
% 37.45/10.48 | (2155) all_0_24_24 = unit
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 2155 yields:
% 37.45/10.48 | (2156) all_0_24_24 = unit
% 37.45/10.48 |
% 37.45/10.48 | Equations (2154) can reduce 1725 to:
% 37.45/10.48 | (1729) ~ (all_0_76_76 = unit)
% 37.45/10.48 |
% 37.45/10.48 | Equations (600) can reduce 523 to:
% 37.45/10.48 | (607) ~ (unit = e3)
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 607 yields:
% 37.45/10.48 | (406) ~ (unit = e3)
% 37.45/10.48 |
% 37.45/10.48 | From (2148) and (89) follows:
% 37.45/10.48 | (2160) op(all_0_76_76, e3) = all_0_2_2
% 37.45/10.48 |
% 37.45/10.48 | From (2156) and (270) follows:
% 37.45/10.48 | (2161) op(all_0_76_76, e3) = unit
% 37.45/10.48 |
% 37.45/10.48 | From (598) and (1808) follows:
% 37.45/10.48 | (683) op(e2, e3) = e0
% 37.45/10.48 |
% 37.45/10.48 | From (600) and (207) follows:
% 37.45/10.48 | (1069) op(e2, e3) = all_0_37_37
% 37.45/10.48 |
% 37.45/10.48 | From (2148) and (648) follows:
% 37.45/10.48 | (208) op(e2, e3) = all_0_76_76
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with all_0_76_76, e3, unit, all_0_2_2 and discharging atoms op(all_0_76_76, e3) = all_0_2_2, op(all_0_76_76, e3) = unit, yields:
% 37.45/10.48 | (614) all_0_2_2 = unit
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e3, all_0_37_37, all_0_76_76 and discharging atoms op(e2, e3) = all_0_37_37, op(e2, e3) = all_0_76_76, yields:
% 37.45/10.48 | (2166) all_0_37_37 = all_0_76_76
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e2, e3, e0, all_0_37_37 and discharging atoms op(e2, e3) = all_0_37_37, op(e2, e3) = e0, yields:
% 37.45/10.48 | (2167) all_0_37_37 = e0
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (2166,2167) yields a new equation:
% 37.45/10.48 | (2168) all_0_76_76 = e0
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 2168 yields:
% 37.45/10.48 | (798) all_0_76_76 = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (614) can reduce 1815 to:
% 37.45/10.48 | (622) ~ (unit = e2)
% 37.45/10.48 |
% 37.45/10.48 | Equations (614) can reduce 575 to:
% 37.45/10.48 | (404) ~ (unit = e1)
% 37.45/10.48 |
% 37.45/10.48 | Equations (798) can reduce 1729 to:
% 37.45/10.48 | (1031) ~ (unit = e0)
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 1031 yields:
% 37.45/10.48 | (402) ~ (unit = e0)
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (74), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (679) all_0_75_75 = e3
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (679,1721) yields a new equation:
% 37.45/10.48 | (409) unit = e3
% 37.45/10.48 |
% 37.45/10.48 | Equations (409) can reduce 406 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (718) ~ (all_0_75_75 = e3)
% 37.45/10.48 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (719), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (736) all_0_75_75 = e2
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (736,1721) yields a new equation:
% 37.45/10.48 | (415) unit = e2
% 37.45/10.48 |
% 37.45/10.48 | Equations (415) can reduce 622 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (645) ~ (all_0_75_75 = e2)
% 37.45/10.48 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.48 |
% 37.45/10.48 +-Applying beta-rule and splitting (739), into two cases.
% 37.45/10.48 |-Branch one:
% 37.45/10.48 | (740) all_0_75_75 = e1
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (740,1721) yields a new equation:
% 37.45/10.48 | (436) unit = e1
% 37.45/10.48 |
% 37.45/10.48 | Equations (436) can reduce 404 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (728) ~ (all_0_75_75 = e1)
% 37.45/10.48 | (743) all_0_75_75 = e0
% 37.45/10.48 |
% 37.45/10.48 | Combining equations (743,1721) yields a new equation:
% 37.45/10.48 | (441) unit = e0
% 37.45/10.48 |
% 37.45/10.48 | Equations (441) can reduce 402 to:
% 37.45/10.48 | (304) $false
% 37.45/10.48 |
% 37.45/10.48 |-The branch is then unsatisfiable
% 37.45/10.48 |-Branch two:
% 37.45/10.48 | (407) all_0_72_72 = e3
% 37.45/10.48 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 37.45/10.48 |
% 37.45/10.48 | Equations (407) can reduce 515 to:
% 37.45/10.48 | (607) ~ (unit = e3)
% 37.45/10.48 |
% 37.45/10.48 | Simplifying 607 yields:
% 37.45/10.48 | (406) ~ (unit = e3)
% 37.45/10.48 |
% 37.45/10.48 | From (407) and (1809) follows:
% 37.45/10.48 | (1356) op(e0, e3) = e3
% 37.45/10.48 |
% 37.45/10.48 | Instantiating formula (268) with e0, e3, e3, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e3, yields:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (434) all_0_72_72 = e1
% 37.45/10.49 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (4) follows:
% 37.45/10.49 | (816) op(e1, e3) = all_0_8_8
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (35) follows:
% 37.45/10.49 | (818) op(e1, e1) = all_0_10_10
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (1800) follows:
% 37.45/10.49 | (2202) op(e1, e0) = e3
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (2) follows:
% 37.45/10.49 | (819) op(e3, e1) = all_0_8_8
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (82) follows:
% 37.45/10.49 | (821) op(e1, e1) = all_0_40_40
% 37.45/10.49 |
% 37.45/10.49 | From (434) and (1809) follows:
% 37.45/10.49 | (1094) op(e0, e1) = e3
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 37.45/10.49 | (822) all_0_8_8 = all_0_74_74
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 37.45/10.49 | (824) all_0_8_8 = all_0_80_80
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 37.45/10.49 | (826) all_0_10_10 = unit
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e1, all_0_40_40, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = all_0_40_40, yields:
% 37.45/10.49 | (827) all_0_10_10 = all_0_40_40
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 37.45/10.49 | (1110) all_0_83_83 = e3
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 37.45/10.49 | (1114) all_0_86_86 = e3
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (822,824) yields a new equation:
% 37.45/10.49 | (828) all_0_74_74 = all_0_80_80
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 828 yields:
% 37.45/10.49 | (829) all_0_74_74 = all_0_80_80
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (827,826) yields a new equation:
% 37.45/10.49 | (2214) all_0_40_40 = unit
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 2214 yields:
% 37.45/10.49 | (830) all_0_40_40 = unit
% 37.45/10.49 |
% 37.45/10.49 | Equations (829) can reduce 517 to:
% 37.45/10.49 | (531) ~ (all_0_80_80 = unit)
% 37.45/10.49 |
% 37.45/10.49 | Equations (1114) can reduce 365 to:
% 37.45/10.49 | (607) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 607 yields:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 | From (824) and (89) follows:
% 37.45/10.49 | (834) op(all_0_80_80, e3) = all_0_2_2
% 37.45/10.49 |
% 37.45/10.49 | From (830) and (117) follows:
% 37.45/10.49 | (835) op(all_0_80_80, e3) = unit
% 37.45/10.49 |
% 37.45/10.49 | From (1110) and (342) follows:
% 37.45/10.49 | (2221) op(e1, e3) = e0
% 37.45/10.49 |
% 37.45/10.49 | From (1114) and (172) follows:
% 37.45/10.49 | (2222) op(e1, e3) = all_0_54_54
% 37.45/10.49 |
% 37.45/10.49 | From (824) and (816) follows:
% 37.45/10.49 | (213) op(e1, e3) = all_0_80_80
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with all_0_80_80, e3, unit, all_0_2_2 and discharging atoms op(all_0_80_80, e3) = all_0_2_2, op(all_0_80_80, e3) = unit, yields:
% 37.45/10.49 | (614) all_0_2_2 = unit
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e3, all_0_54_54, all_0_80_80 and discharging atoms op(e1, e3) = all_0_54_54, op(e1, e3) = all_0_80_80, yields:
% 37.45/10.49 | (2225) all_0_54_54 = all_0_80_80
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e1, e3, e0, all_0_54_54 and discharging atoms op(e1, e3) = all_0_54_54, op(e1, e3) = e0, yields:
% 37.45/10.49 | (2226) all_0_54_54 = e0
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (2226,2225) yields a new equation:
% 37.45/10.49 | (1268) all_0_80_80 = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (614) can reduce 1815 to:
% 37.45/10.49 | (622) ~ (unit = e2)
% 37.45/10.49 |
% 37.45/10.49 | Equations (614) can reduce 575 to:
% 37.45/10.49 | (404) ~ (unit = e1)
% 37.45/10.49 |
% 37.45/10.49 | Equations (1268) can reduce 531 to:
% 37.45/10.49 | (1031) ~ (unit = e0)
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 1031 yields:
% 37.45/10.49 | (402) ~ (unit = e0)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (74), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (679) all_0_75_75 = e3
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (679,1721) yields a new equation:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (718) ~ (all_0_75_75 = e3)
% 37.45/10.49 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (1721) can reduce 718 to:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (119), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 | (871) unit = e2 | unit = e1 | unit = e0
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (241), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (448) all_0_82_82 = e3
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (317,448) yields a new equation:
% 37.45/10.49 | (408) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 408 yields:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (454) ~ (all_0_82_82 = e3)
% 37.45/10.49 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (317) can reduce 454 to:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (94), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (449) all_0_77_77 = e3
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (400,449) yields a new equation:
% 37.45/10.49 | (408) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 408 yields:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (450) ~ (all_0_77_77 = e3)
% 37.45/10.49 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (400) can reduce 450 to:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (240), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (1073) all_0_84_84 = e3
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (1723,1073) yields a new equation:
% 37.45/10.49 | (408) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 408 yields:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (1059) ~ (all_0_84_84 = e3)
% 37.45/10.49 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (853), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (417) all_0_82_82 = e2
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (317,417) yields a new equation:
% 37.45/10.49 | (414) unit = e2
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 414 yields:
% 37.45/10.49 | (415) unit = e2
% 37.45/10.49 |
% 37.45/10.49 | Equations (415) can reduce 622 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (427) ~ (all_0_82_82 = e2)
% 37.45/10.49 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (317) can reduce 427 to:
% 37.45/10.49 | (622) ~ (unit = e2)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (1661), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (618) all_0_84_84 = e2
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (1723,618) yields a new equation:
% 37.45/10.49 | (414) unit = e2
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 414 yields:
% 37.45/10.49 | (415) unit = e2
% 37.45/10.49 |
% 37.45/10.49 | Equations (415) can reduce 622 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (1050) ~ (all_0_84_84 = e2)
% 37.45/10.49 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (1673), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (1085) all_0_84_84 = e1
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (1723,1085) yields a new equation:
% 37.45/10.49 | (435) unit = e1
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 435 yields:
% 37.45/10.49 | (436) unit = e1
% 37.45/10.49 |
% 37.45/10.49 | Equations (436) can reduce 404 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (1675) ~ (all_0_84_84 = e1)
% 37.45/10.49 | (1280) all_0_84_84 = e0
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (1723,1280) yields a new equation:
% 37.45/10.49 | (440) unit = e0
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 440 yields:
% 37.45/10.49 | (441) unit = e0
% 37.45/10.49 |
% 37.45/10.49 | Equations (441) can reduce 402 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (2284) all_0_2_2 = e2
% 37.45/10.49 | (2285) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e1)
% 37.45/10.49 |
% 37.45/10.49 | From (2284) and (89) follows:
% 37.45/10.49 | (2286) op(all_0_8_8, e3) = e2
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (143), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (1815) ~ (all_0_2_2 = e2)
% 37.45/10.49 |
% 37.45/10.49 | Equations (2284) can reduce 1815 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (2284) all_0_2_2 = e2
% 37.45/10.49 | (2290) ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e0)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (230), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (403) ~ (all_0_72_72 = e1)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (24), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (407) all_0_72_72 = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (407) can reduce 515 to:
% 37.45/10.49 | (607) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 607 yields:
% 37.45/10.49 | (406) ~ (unit = e3)
% 37.45/10.49 |
% 37.45/10.49 | From (407) and (1809) follows:
% 37.45/10.49 | (1356) op(e0, e3) = e3
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e0, e3, e3, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e3, yields:
% 37.45/10.49 | (409) unit = e3
% 37.45/10.49 |
% 37.45/10.49 | Equations (409) can reduce 406 to:
% 37.45/10.49 | (304) $false
% 37.45/10.49 |
% 37.45/10.49 |-The branch is then unsatisfiable
% 37.45/10.49 |-Branch two:
% 37.45/10.49 | (405) ~ (all_0_72_72 = e3)
% 37.45/10.49 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (188), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (401) ~ (all_0_72_72 = e0)
% 37.45/10.49 |
% 37.45/10.49 +-Applying beta-rule and splitting (412), into two cases.
% 37.45/10.49 |-Branch one:
% 37.45/10.49 | (413) all_0_72_72 = e2
% 37.45/10.49 |
% 37.45/10.49 | Equations (413) can reduce 515 to:
% 37.45/10.49 | (621) ~ (unit = e2)
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 621 yields:
% 37.45/10.49 | (622) ~ (unit = e2)
% 37.45/10.49 |
% 37.45/10.49 | From (413) and (4) follows:
% 37.45/10.49 | (648) op(e2, e3) = all_0_8_8
% 37.45/10.49 |
% 37.45/10.49 | From (413) and (3) follows:
% 37.45/10.49 | (2142) op(e2, e2) = all_0_9_9
% 37.45/10.49 |
% 37.45/10.49 | From (413) and (2) follows:
% 37.45/10.49 | (2144) op(e3, e2) = all_0_8_8
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.45/10.49 | (2147) all_0_8_8 = all_0_73_73
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.45/10.49 | (2148) all_0_8_8 = all_0_76_76
% 37.45/10.49 |
% 37.45/10.49 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.45/10.49 | (2149) all_0_9_9 = unit
% 37.45/10.49 |
% 37.45/10.49 | Combining equations (2147,2148) yields a new equation:
% 37.45/10.49 | (2153) all_0_73_73 = all_0_76_76
% 37.45/10.49 |
% 37.45/10.49 | Simplifying 2153 yields:
% 37.45/10.49 | (2154) all_0_73_73 = all_0_76_76
% 37.45/10.49 |
% 37.45/10.49 | From (2148) and (2286) follows:
% 37.45/10.49 | (2312) op(all_0_76_76, e3) = e2
% 37.45/10.50 |
% 37.45/10.50 | From (2154) and (295) follows:
% 37.45/10.50 | (2313) op(all_0_76_76, e3) = all_0_12_12
% 37.45/10.50 |
% 37.45/10.50 | From (2154)(2149) and (137) follows:
% 37.45/10.50 | (2314) op(e3, all_0_76_76) = unit
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with all_0_76_76, e3, e2, all_0_12_12 and discharging atoms op(all_0_76_76, e3) = all_0_12_12, op(all_0_76_76, e3) = e2, yields:
% 37.45/10.50 | (2315) all_0_12_12 = e2
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e3, all_0_76_76, unit, all_0_12_12 and discharging atoms op(e3, all_0_76_76) = all_0_12_12, op(e3, all_0_76_76) = unit, yields:
% 37.45/10.50 | (2316) all_0_12_12 = unit
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (2316,2315) yields a new equation:
% 37.45/10.50 | (414) unit = e2
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 414 yields:
% 37.45/10.50 | (415) unit = e2
% 37.45/10.50 |
% 37.45/10.50 | Equations (415) can reduce 622 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (419) ~ (all_0_72_72 = e2)
% 37.45/10.50 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (433), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (434) all_0_72_72 = e1
% 37.45/10.50 |
% 37.45/10.50 | Equations (434) can reduce 403 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (403) ~ (all_0_72_72 = e1)
% 37.45/10.50 | (439) all_0_72_72 = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (439) can reduce 401 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (439) all_0_72_72 = e0
% 37.45/10.50 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 37.45/10.50 |
% 37.45/10.50 | Equations (439) can reduce 515 to:
% 37.45/10.50 | (1031) ~ (unit = e0)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 1031 yields:
% 37.45/10.50 | (402) ~ (unit = e0)
% 37.45/10.50 |
% 37.45/10.50 | From (439) and (4) follows:
% 37.45/10.50 | (591) op(e0, e3) = all_0_8_8
% 37.45/10.50 |
% 37.45/10.50 | From (439) and (1809) follows:
% 37.45/10.50 | (1846) op(e0, e0) = e3
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (2290), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (1307) ~ (all_0_8_8 = e1)
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e0, e3, all_0_8_8, unit and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = unit, yields:
% 37.45/10.50 | (652) all_0_8_8 = unit
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e0, e0, e3, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = e3, yields:
% 37.45/10.50 | (447) all_0_87_87 = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (652) can reduce 1307 to:
% 37.45/10.50 | (404) ~ (unit = e1)
% 37.45/10.50 |
% 37.45/10.50 | Equations (447) can reduce 1742 to:
% 37.45/10.50 | (607) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 607 yields:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 | From (652) and (2286) follows:
% 37.45/10.50 | (2339) op(unit, e3) = e2
% 37.45/10.50 |
% 37.45/10.50 | From (447) and (103) follows:
% 37.45/10.50 | (2340) op(e2, e3) = all_0_39_39
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (119), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (409) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (409) can reduce 406 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 | (871) unit = e2 | unit = e1 | unit = e0
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (240), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (1073) all_0_84_84 = e3
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (1073,1723) yields a new equation:
% 37.45/10.50 | (409) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (409) can reduce 406 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (1059) ~ (all_0_84_84 = e3)
% 37.45/10.50 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (1723) can reduce 1059 to:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (94), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (449) all_0_77_77 = e3
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (400,449) yields a new equation:
% 37.45/10.50 | (408) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 408 yields:
% 37.45/10.50 | (409) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (409) can reduce 406 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (450) ~ (all_0_77_77 = e3)
% 37.45/10.50 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (400) can reduce 450 to:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (241), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (448) all_0_82_82 = e3
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (448,317) yields a new equation:
% 37.45/10.50 | (409) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (409) can reduce 406 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (454) ~ (all_0_82_82 = e3)
% 37.45/10.50 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (317) can reduce 454 to:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (74), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (679) all_0_75_75 = e3
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (1721,679) yields a new equation:
% 37.45/10.50 | (408) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 408 yields:
% 37.45/10.50 | (409) unit = e3
% 37.45/10.50 |
% 37.45/10.50 | Equations (409) can reduce 406 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (718) ~ (all_0_75_75 = e3)
% 37.45/10.50 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (1721) can reduce 718 to:
% 37.45/10.50 | (406) ~ (unit = e3)
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (1661), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (618) all_0_84_84 = e2
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (618,1723) yields a new equation:
% 37.45/10.50 | (415) unit = e2
% 37.45/10.50 |
% 37.45/10.50 | Equations (415) can reduce 406 to:
% 37.45/10.50 | (2373) ~ (e3 = e2)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 2373 yields:
% 37.45/10.50 | (120) ~ (e3 = e2)
% 37.45/10.50 |
% 37.45/10.50 | From (415) and (256) follows:
% 37.45/10.50 | (903) op(e2, e3) = e3
% 37.45/10.50 |
% 37.45/10.50 | From (415) and (2339) follows:
% 37.45/10.50 | (2376) op(e2, e3) = e2
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e2, e3, all_0_39_39, all_0_76_76 and discharging atoms op(e2, e3) = all_0_39_39, op(e2, e3) = all_0_76_76, yields:
% 37.45/10.50 | (2377) all_0_39_39 = all_0_76_76
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 37.45/10.50 | (673) all_0_76_76 = e3
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e2, e3, e2, all_0_39_39 and discharging atoms op(e2, e3) = all_0_39_39, op(e2, e3) = e2, yields:
% 37.45/10.50 | (2379) all_0_39_39 = e2
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (2377,2379) yields a new equation:
% 37.45/10.50 | (2380) all_0_76_76 = e2
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 2380 yields:
% 37.45/10.50 | (761) all_0_76_76 = e2
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (673,761) yields a new equation:
% 37.45/10.50 | (1626) e3 = e2
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 1626 yields:
% 37.45/10.50 | (1215) e3 = e2
% 37.45/10.50 |
% 37.45/10.50 | Equations (1215) can reduce 120 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (1050) ~ (all_0_84_84 = e2)
% 37.45/10.50 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (1673), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (1085) all_0_84_84 = e1
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (1085,1723) yields a new equation:
% 37.45/10.50 | (436) unit = e1
% 37.45/10.50 |
% 37.45/10.50 | Equations (436) can reduce 404 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (1675) ~ (all_0_84_84 = e1)
% 37.45/10.50 | (1280) all_0_84_84 = e0
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (1280,1723) yields a new equation:
% 37.45/10.50 | (441) unit = e0
% 37.45/10.50 |
% 37.45/10.50 | Equations (441) can reduce 402 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (1365) all_0_8_8 = e1
% 37.45/10.50 | (401) ~ (all_0_72_72 = e0)
% 37.45/10.50 |
% 37.45/10.50 | Equations (439) can reduce 401 to:
% 37.45/10.50 | (304) $false
% 37.45/10.50 |
% 37.45/10.50 |-The branch is then unsatisfiable
% 37.45/10.50 |-Branch two:
% 37.45/10.50 | (434) all_0_72_72 = e1
% 37.45/10.50 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.45/10.50 |
% 37.45/10.50 | Equations (434) can reduce 134 to:
% 37.45/10.50 | (1401) ~ (all_0_74_74 = e1)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 1401 yields:
% 37.45/10.50 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.50 |
% 37.45/10.50 | Equations (434) can reduce 515 to:
% 37.45/10.50 | (928) ~ (unit = e1)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 928 yields:
% 37.45/10.50 | (404) ~ (unit = e1)
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (4) follows:
% 37.45/10.50 | (816) op(e1, e3) = all_0_8_8
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (35) follows:
% 37.45/10.50 | (818) op(e1, e1) = all_0_10_10
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (1800) follows:
% 37.45/10.50 | (2202) op(e1, e0) = e3
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (2) follows:
% 37.45/10.50 | (819) op(e3, e1) = all_0_8_8
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (82) follows:
% 37.45/10.50 | (821) op(e1, e1) = all_0_40_40
% 37.45/10.50 |
% 37.45/10.50 | From (434) and (1809) follows:
% 37.45/10.50 | (1094) op(e0, e1) = e3
% 37.45/10.50 |
% 37.45/10.50 +-Applying beta-rule and splitting (2285), into two cases.
% 37.45/10.50 |-Branch one:
% 37.45/10.50 | (959) ~ (all_0_8_8 = e0)
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 37.45/10.50 | (822) all_0_8_8 = all_0_74_74
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 37.45/10.50 | (824) all_0_8_8 = all_0_80_80
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 37.45/10.50 | (826) all_0_10_10 = unit
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e1, e1, all_0_40_40, all_0_10_10 and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = all_0_40_40, yields:
% 37.45/10.50 | (827) all_0_10_10 = all_0_40_40
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 37.45/10.50 | (1110) all_0_83_83 = e3
% 37.45/10.50 |
% 37.45/10.50 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 37.45/10.50 | (1114) all_0_86_86 = e3
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (822,824) yields a new equation:
% 37.45/10.50 | (828) all_0_74_74 = all_0_80_80
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 828 yields:
% 37.45/10.50 | (829) all_0_74_74 = all_0_80_80
% 37.45/10.50 |
% 37.45/10.50 | Combining equations (827,826) yields a new equation:
% 37.45/10.50 | (2214) all_0_40_40 = unit
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 2214 yields:
% 37.45/10.50 | (830) all_0_40_40 = unit
% 37.45/10.50 |
% 37.45/10.50 | Equations (824) can reduce 959 to:
% 37.45/10.50 | (1260) ~ (all_0_80_80 = e0)
% 37.45/10.50 |
% 37.45/10.50 | Equations (829) can reduce 199 to:
% 37.45/10.50 | (2421) ~ (all_0_73_73 = all_0_80_80)
% 37.45/10.50 |
% 37.45/10.50 | Equations (829) can reduce 38 to:
% 37.45/10.50 | (2422) ~ (all_0_78_78 = all_0_80_80)
% 37.45/10.50 |
% 37.45/10.50 | Simplifying 2422 yields:
% 37.45/10.50 | (2423) ~ (all_0_78_78 = all_0_80_80)
% 37.45/10.50 |
% 37.45/10.50 | Equations (829) can reduce 517 to:
% 37.45/10.50 | (531) ~ (all_0_80_80 = unit)
% 37.45/10.50 |
% 37.45/10.50 | Equations (829) can reduce 715 to:
% 37.45/10.50 | (1087) ~ (all_0_80_80 = e1)
% 37.45/10.50 |
% 37.45/10.50 | Equations (1114) can reduce 266 to:
% 37.45/10.50 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.50 |
% 37.45/10.50 | Equations (1110) can reduce 217 to:
% 37.45/10.50 | (1250) ~ (all_0_80_80 = e3)
% 37.45/10.50 |
% 37.45/10.50 | Equations (1110) can reduce 189 to:
% 37.45/10.51 | (1120) ~ (all_0_81_81 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Equations (1114) can reduce 234 to:
% 37.45/10.51 | (2429) ~ (all_0_87_87 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 2429 yields:
% 37.45/10.51 | (457) ~ (all_0_87_87 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Equations (1114) can reduce 365 to:
% 37.45/10.51 | (607) ~ (unit = e3)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 607 yields:
% 37.45/10.51 | (406) ~ (unit = e3)
% 37.45/10.51 |
% 37.45/10.51 | From (829) and (67) follows:
% 37.45/10.51 | (943) op(all_0_80_80, e3) = all_0_16_16
% 37.45/10.51 |
% 37.45/10.51 | From (830) and (117) follows:
% 37.45/10.51 | (835) op(all_0_80_80, e3) = unit
% 37.45/10.51 |
% 37.45/10.51 | From (1110) and (195) follows:
% 37.45/10.51 | (2435) op(e3, e2) = all_0_53_53
% 37.45/10.51 |
% 37.45/10.51 | From (1114) and (246) follows:
% 37.45/10.51 | (2436) op(e3, e2) = all_0_65_65
% 37.45/10.51 |
% 37.45/10.51 | From (1110) and (157) follows:
% 37.45/10.51 | (2437) op(e2, e3) = all_0_35_35
% 37.45/10.51 |
% 37.45/10.51 | From (1114) and (232) follows:
% 37.45/10.51 | (2438) op(e2, e3) = all_0_38_38
% 37.45/10.51 |
% 37.45/10.51 | From (829) and (98) follows:
% 37.45/10.51 | (1443) op(e1, all_0_80_80) = all_0_42_42
% 37.45/10.51 |
% 37.45/10.51 | From (1114) and (223) follows:
% 37.45/10.51 | (1094) op(e0, e1) = e3
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (11), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (691) all_0_74_74 = e3
% 37.45/10.51 |
% 37.45/10.51 | Combining equations (829,691) yields a new equation:
% 37.45/10.51 | (1014) all_0_80_80 = e3
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 1014 yields:
% 37.45/10.51 | (1015) all_0_80_80 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (1015) can reduce 1250 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (680) ~ (all_0_74_74 = e3)
% 37.45/10.51 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (694), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (699) all_0_74_74 = e2
% 37.45/10.51 |
% 37.45/10.51 | Combining equations (829,699) yields a new equation:
% 37.45/10.51 | (842) all_0_80_80 = e2
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 842 yields:
% 37.45/10.51 | (843) all_0_80_80 = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (843) can reduce 2421 to:
% 37.45/10.51 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Equations (843) can reduce 173 to:
% 37.45/10.51 | (765) ~ (all_0_76_76 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Equations (843) can reduce 2423 to:
% 37.45/10.51 | (689) ~ (all_0_78_78 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Equations (843) can reduce 242 to:
% 37.45/10.51 | (2453) ~ (all_0_81_81 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 2453 yields:
% 37.45/10.51 | (1104) ~ (all_0_81_81 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Equations (843) can reduce 531 to:
% 37.45/10.51 | (621) ~ (unit = e2)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 621 yields:
% 37.45/10.51 | (622) ~ (unit = e2)
% 37.45/10.51 |
% 37.45/10.51 | From (843) and (943) follows:
% 37.45/10.51 | (2457) op(e2, e3) = all_0_16_16
% 37.45/10.51 |
% 37.45/10.51 | From (843) and (835) follows:
% 37.45/10.51 | (512) op(e2, e3) = unit
% 37.45/10.51 |
% 37.45/10.51 | From (843) and (159) follows:
% 37.45/10.51 | (2459) op(e3, e2) = all_0_16_16
% 37.45/10.51 |
% 37.45/10.51 | From (843) and (1443) follows:
% 37.45/10.51 | (2460) op(e1, e2) = all_0_42_42
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (119), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (409) unit = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (409) can reduce 406 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (406) ~ (unit = e3)
% 37.45/10.51 | (871) unit = e2 | unit = e1 | unit = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (94), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (449) all_0_77_77 = e3
% 37.45/10.51 |
% 37.45/10.51 | Combining equations (449,400) yields a new equation:
% 37.45/10.51 | (409) unit = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (409) can reduce 406 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (450) ~ (all_0_77_77 = e3)
% 37.45/10.51 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (1169), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (418) all_0_77_77 = e2
% 37.45/10.51 |
% 37.45/10.51 | Combining equations (418,400) yields a new equation:
% 37.45/10.51 | (415) unit = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (415) can reduce 622 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (423) ~ (all_0_77_77 = e2)
% 37.45/10.51 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.51 |
% 37.45/10.51 | Equations (400) can reduce 423 to:
% 37.45/10.51 | (622) ~ (unit = e2)
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (871), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (415) unit = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (415) can reduce 622 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (622) ~ (unit = e2)
% 37.45/10.51 | (1271) unit = e1 | unit = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (1271), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (436) unit = e1
% 37.45/10.51 |
% 37.45/10.51 | Equations (436) can reduce 404 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (404) ~ (unit = e1)
% 37.45/10.51 | (441) unit = e0
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 1725 to:
% 37.45/10.51 | (1832) ~ (all_0_73_73 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 1729 to:
% 37.45/10.51 | (1836) ~ (all_0_76_76 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 527 to:
% 37.45/10.51 | (690) ~ (all_0_78_78 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 529 to:
% 37.45/10.51 | (745) ~ (all_0_79_79 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 521 to:
% 37.45/10.51 | (1137) ~ (all_0_81_81 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 523 to:
% 37.45/10.51 | (1941) ~ (all_0_85_85 = e0)
% 37.45/10.51 |
% 37.45/10.51 | Equations (441) can reduce 1742 to:
% 37.45/10.51 | (489) ~ (all_0_87_87 = e0)
% 37.45/10.51 |
% 37.45/10.51 | From (441) and (101) follows:
% 37.45/10.51 | (2491) op(e0, e1) = e1
% 37.45/10.51 |
% 37.45/10.51 | From (441) and (512) follows:
% 37.45/10.51 | (683) op(e2, e3) = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (19), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (673) all_0_76_76 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (673) can reduce 204 to:
% 37.45/10.51 | (656) ~ (all_0_78_78 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 656 yields:
% 37.45/10.51 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Equations (673) can reduce 297 to:
% 37.45/10.51 | (658) ~ (all_0_79_79 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 658 yields:
% 37.45/10.51 | (659) ~ (all_0_79_79 = e3)
% 37.45/10.51 |
% 37.45/10.51 | From (673) and (68) follows:
% 37.45/10.51 | (2498) op(e3, e2) = all_0_25_25
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (50), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (695) all_0_78_78 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (695) can reduce 657 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.51 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (176), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (825) all_0_81_81 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (825) can reduce 1120 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (1120) ~ (all_0_81_81 = e3)
% 37.45/10.51 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (71), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (878) all_0_73_73 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (878) can reduce 296 to:
% 37.45/10.51 | (1435) ~ (all_0_85_85 = e3)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 1435 yields:
% 37.45/10.51 | (1436) ~ (all_0_85_85 = e3)
% 37.45/10.51 |
% 37.45/10.51 | From (878) and (42) follows:
% 37.45/10.51 | (2510) op(e2, e3) = all_0_25_25
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (698), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (703) all_0_78_78 = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (703) can reduce 689 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (689) ~ (all_0_78_78 = e2)
% 37.45/10.51 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (706), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (710) all_0_78_78 = e1
% 37.45/10.51 |
% 37.45/10.51 | Equations (710) can reduce 25 to:
% 37.45/10.51 | (2067) ~ (all_0_79_79 = e1)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 2067 yields:
% 37.45/10.51 | (731) ~ (all_0_79_79 = e1)
% 37.45/10.51 |
% 37.45/10.51 | From (710) and (62) follows:
% 37.45/10.51 | (2518) op(e1, e2) = all_0_33_33
% 37.45/10.51 |
% 37.45/10.51 | From (710) and (228) follows:
% 37.45/10.51 | (1172) op(e0, e1) = all_0_62_62
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (184), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (598) all_0_79_79 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (598) can reduce 659 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (659) ~ (all_0_79_79 = e3)
% 37.45/10.51 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (735), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (687) all_0_79_79 = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (687) can reduce 146 to:
% 37.45/10.51 | (2525) ~ (all_0_87_87 = e2)
% 37.45/10.51 |
% 37.45/10.51 | Simplifying 2525 yields:
% 37.45/10.51 | (430) ~ (all_0_87_87 = e2)
% 37.45/10.51 |
% 37.45/10.51 | From (687) and (1802) follows:
% 37.45/10.51 | (2376) op(e2, e3) = e2
% 37.45/10.51 |
% 37.45/10.51 | From (687) and (293) follows:
% 37.45/10.51 | (1542) op(e2, e1) = all_0_38_38
% 37.45/10.51 |
% 37.45/10.51 | From (687) and (31) follows:
% 37.45/10.51 | (2529) op(e1, e2) = all_0_47_47
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (34), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (447) all_0_87_87 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (447) can reduce 457 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (457) ~ (all_0_87_87 = e3)
% 37.45/10.51 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (1142), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (1155) all_0_81_81 = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (1155) can reduce 1104 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (1104) ~ (all_0_81_81 = e2)
% 37.45/10.51 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (1158), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (1163) all_0_81_81 = e1
% 37.45/10.51 |
% 37.45/10.51 | From (1163) and (107) follows:
% 37.45/10.51 | (1553) op(e1, e0) = all_0_47_47
% 37.45/10.51 |
% 37.45/10.51 | From (1163) and (288) follows:
% 37.45/10.51 | (2540) op(e2, e1) = all_0_33_33
% 37.45/10.51 |
% 37.45/10.51 | From (1163) and (164) follows:
% 37.45/10.51 | (1165) op(e0, e1) = all_0_65_65
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (23), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (600) all_0_85_85 = e3
% 37.45/10.51 |
% 37.45/10.51 | Equations (600) can reduce 1436 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (1436) ~ (all_0_85_85 = e3)
% 37.45/10.51 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (627), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (416) all_0_87_87 = e2
% 37.45/10.51 |
% 37.45/10.51 | Equations (416) can reduce 430 to:
% 37.45/10.51 | (304) $false
% 37.45/10.51 |
% 37.45/10.51 |-The branch is then unsatisfiable
% 37.45/10.51 |-Branch two:
% 37.45/10.51 | (430) ~ (all_0_87_87 = e2)
% 37.45/10.51 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (1546), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (1558) all_0_85_85 = e2
% 37.45/10.51 |
% 37.45/10.51 | From (1558) and (244) follows:
% 37.45/10.51 | (2551) op(e2, e3) = all_0_60_60
% 37.45/10.51 |
% 37.45/10.51 +-Applying beta-rule and splitting (632), into two cases.
% 37.45/10.51 |-Branch one:
% 37.45/10.51 | (463) all_0_87_87 = e1
% 37.45/10.51 |
% 37.45/10.52 | Equations (463) can reduce 489 to:
% 37.45/10.52 | (69) ~ (e1 = e0)
% 37.45/10.52 |
% 37.45/10.52 | From (463) and (225) follows:
% 37.45/10.52 | (2554) op(e1, e0) = all_0_71_71
% 37.45/10.52 |
% 37.45/10.52 | From (463) and (103) follows:
% 37.45/10.52 | (2555) op(e2, e1) = all_0_39_39
% 37.45/10.52 |
% 37.45/10.52 | From (463) and (55) follows:
% 37.45/10.52 | (2556) op(e0, e1) = all_0_71_71
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e3, e2, all_0_53_53, all_0_16_16 and discharging atoms op(e3, e2) = all_0_16_16, op(e3, e2) = all_0_53_53, yields:
% 37.45/10.52 | (2557) all_0_16_16 = all_0_53_53
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e3, e2, all_0_53_53, all_0_25_25 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = all_0_53_53, yields:
% 37.45/10.52 | (2558) all_0_25_25 = all_0_53_53
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e3, e2, all_0_65_65, all_0_25_25 and discharging atoms op(e3, e2) = all_0_25_25, op(e3, e2) = all_0_65_65, yields:
% 37.45/10.52 | (2559) all_0_25_25 = all_0_65_65
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e3, all_0_38_38, all_0_35_35 and discharging atoms op(e2, e3) = all_0_35_35, op(e2, e3) = all_0_38_38, yields:
% 37.45/10.52 | (2560) all_0_35_35 = all_0_38_38
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e3, all_0_60_60, all_0_25_25 and discharging atoms op(e2, e3) = all_0_25_25, op(e2, e3) = all_0_60_60, yields:
% 37.45/10.52 | (2561) all_0_25_25 = all_0_60_60
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e3, e2, all_0_35_35 and discharging atoms op(e2, e3) = all_0_35_35, op(e2, e3) = e2, yields:
% 37.45/10.52 | (1604) all_0_35_35 = e2
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e3, e0, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = e0, yields:
% 37.45/10.52 | (1936) all_0_16_16 = e0
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_33_33 and discharging atoms op(e2, e1) = all_0_33_33, op(e2, e1) = all_0_38_38, yields:
% 37.45/10.52 | (2564) all_0_33_33 = all_0_38_38
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e2, e1, all_0_39_39, all_0_33_33 and discharging atoms op(e2, e1) = all_0_33_33, op(e2, e1) = all_0_39_39, yields:
% 37.45/10.52 | (2565) all_0_33_33 = all_0_39_39
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e1, e2, all_0_42_42, all_0_33_33 and discharging atoms op(e1, e2) = all_0_33_33, op(e1, e2) = all_0_42_42, yields:
% 37.45/10.52 | (2566) all_0_33_33 = all_0_42_42
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e1, e2, all_0_47_47, all_0_33_33 and discharging atoms op(e1, e2) = all_0_33_33, op(e1, e2) = all_0_47_47, yields:
% 37.45/10.52 | (2567) all_0_33_33 = all_0_47_47
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e1, e0, all_0_71_71, all_0_47_47 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = all_0_71_71, yields:
% 37.45/10.52 | (2568) all_0_47_47 = all_0_71_71
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e0, e1, all_0_65_65, all_0_62_62 and discharging atoms op(e0, e1) = all_0_62_62, op(e0, e1) = all_0_65_65, yields:
% 37.45/10.52 | (1194) all_0_62_62 = all_0_65_65
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e0, e1, all_0_71_71, e3 and discharging atoms op(e0, e1) = all_0_71_71, op(e0, e1) = e3, yields:
% 37.45/10.52 | (2570) all_0_71_71 = e3
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e0, e1, all_0_71_71, all_0_62_62 and discharging atoms op(e0, e1) = all_0_62_62, op(e0, e1) = all_0_71_71, yields:
% 37.45/10.52 | (2571) all_0_62_62 = all_0_71_71
% 37.45/10.52 |
% 37.45/10.52 | Instantiating formula (268) with e0, e1, e1, all_0_71_71 and discharging atoms op(e0, e1) = all_0_71_71, op(e0, e1) = e1, yields:
% 37.45/10.52 | (2572) all_0_71_71 = e1
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2557,1936) yields a new equation:
% 37.45/10.52 | (1201) all_0_53_53 = e0
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 1201 yields:
% 37.45/10.52 | (1202) all_0_53_53 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2559,2561) yields a new equation:
% 37.45/10.52 | (2575) all_0_60_60 = all_0_65_65
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2558,2561) yields a new equation:
% 37.45/10.52 | (2576) all_0_53_53 = all_0_60_60
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2576 yields:
% 37.45/10.52 | (2577) all_0_53_53 = all_0_60_60
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2564,2565) yields a new equation:
% 37.45/10.52 | (2578) all_0_38_38 = all_0_39_39
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2578 yields:
% 37.45/10.52 | (2579) all_0_38_38 = all_0_39_39
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2567,2565) yields a new equation:
% 37.45/10.52 | (2580) all_0_39_39 = all_0_47_47
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2566,2565) yields a new equation:
% 37.45/10.52 | (2581) all_0_39_39 = all_0_42_42
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2560,1604) yields a new equation:
% 37.45/10.52 | (2582) all_0_38_38 = e2
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2582 yields:
% 37.45/10.52 | (2583) all_0_38_38 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2579,2583) yields a new equation:
% 37.45/10.52 | (2584) all_0_39_39 = e2
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2584 yields:
% 37.45/10.52 | (2379) all_0_39_39 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2379,2581) yields a new equation:
% 37.45/10.52 | (1199) all_0_42_42 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2580,2581) yields a new equation:
% 37.45/10.52 | (1586) all_0_42_42 = all_0_47_47
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (1586,1199) yields a new equation:
% 37.45/10.52 | (2588) all_0_47_47 = e2
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2588 yields:
% 37.45/10.52 | (2589) all_0_47_47 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2568,2589) yields a new equation:
% 37.45/10.52 | (2590) all_0_71_71 = e2
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2590 yields:
% 37.45/10.52 | (2591) all_0_71_71 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2577,1202) yields a new equation:
% 37.45/10.52 | (2592) all_0_60_60 = e0
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2592 yields:
% 37.45/10.52 | (563) all_0_60_60 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2575,563) yields a new equation:
% 37.45/10.52 | (1209) all_0_65_65 = e0
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 1209 yields:
% 37.45/10.52 | (1210) all_0_65_65 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2571,1194) yields a new equation:
% 37.45/10.52 | (2596) all_0_65_65 = all_0_71_71
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2596,1210) yields a new equation:
% 37.45/10.52 | (2597) all_0_71_71 = e0
% 37.45/10.52 |
% 37.45/10.52 | Simplifying 2597 yields:
% 37.45/10.52 | (377) all_0_71_71 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2572,2570) yields a new equation:
% 37.45/10.52 | (1017) e3 = e1
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (377,2570) yields a new equation:
% 37.45/10.52 | (1217) e3 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (2591,2570) yields a new equation:
% 37.45/10.52 | (1215) e3 = e2
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (1017,1215) yields a new equation:
% 37.45/10.52 | (1219) e2 = e1
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (1217,1215) yields a new equation:
% 37.45/10.52 | (1221) e2 = e0
% 37.45/10.52 |
% 37.45/10.52 | Combining equations (1221,1219) yields a new equation:
% 37.45/10.52 | (1222) e1 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (1222) can reduce 69 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (473) ~ (all_0_87_87 = e1)
% 37.45/10.52 | (479) all_0_87_87 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (479) can reduce 489 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (1498) ~ (all_0_85_85 = e2)
% 37.45/10.52 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.45/10.52 |
% 37.45/10.52 +-Applying beta-rule and splitting (632), into two cases.
% 37.45/10.52 |-Branch one:
% 37.45/10.52 | (463) all_0_87_87 = e1
% 37.45/10.52 |
% 37.45/10.52 | Equations (463) can reduce 156 to:
% 37.45/10.52 | (1540) ~ (all_0_85_85 = e1)
% 37.45/10.52 |
% 37.45/10.52 +-Applying beta-rule and splitting (1561), into two cases.
% 37.45/10.52 |-Branch one:
% 37.45/10.52 | (1566) all_0_85_85 = e1
% 37.45/10.52 |
% 37.45/10.52 | Equations (1566) can reduce 1540 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (1540) ~ (all_0_85_85 = e1)
% 37.45/10.52 | (1569) all_0_85_85 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (1569) can reduce 1941 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (473) ~ (all_0_87_87 = e1)
% 37.45/10.52 | (479) all_0_87_87 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (479) can reduce 489 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (1227) ~ (all_0_81_81 = e1)
% 37.45/10.52 | (1228) all_0_81_81 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (1228) can reduce 1137 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (730) ~ (all_0_79_79 = e2)
% 37.45/10.52 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.45/10.52 |
% 37.45/10.52 +-Applying beta-rule and splitting (749), into two cases.
% 37.45/10.52 |-Branch one:
% 37.45/10.52 | (750) all_0_79_79 = e1
% 37.45/10.52 |
% 37.45/10.52 | Equations (750) can reduce 731 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (731) ~ (all_0_79_79 = e1)
% 37.45/10.52 | (753) all_0_79_79 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (753) can reduce 745 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (709) ~ (all_0_78_78 = e1)
% 37.45/10.52 | (713) all_0_78_78 = e0
% 37.45/10.52 |
% 37.45/10.52 | Equations (713) can reduce 690 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.52 | (882) ~ (all_0_73_73 = e3)
% 37.45/10.52 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.45/10.52 |
% 37.45/10.52 +-Applying beta-rule and splitting (1142), into two cases.
% 37.45/10.52 |-Branch one:
% 37.45/10.52 | (1155) all_0_81_81 = e2
% 37.45/10.52 |
% 37.45/10.52 | Equations (1155) can reduce 1104 to:
% 37.45/10.52 | (304) $false
% 37.45/10.52 |
% 37.45/10.52 |-The branch is then unsatisfiable
% 37.45/10.52 |-Branch two:
% 37.45/10.53 | (1104) ~ (all_0_81_81 = e2)
% 37.45/10.53 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (1158), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (1163) all_0_81_81 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (1163) can reduce 185 to:
% 37.45/10.53 | (894) ~ (all_0_73_73 = e1)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (883), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (884) all_0_73_73 = e2
% 37.45/10.53 |
% 37.45/10.53 | Equations (884) can reduce 888 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.53 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (889), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (890) all_0_73_73 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (890) can reduce 894 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (894) ~ (all_0_73_73 = e1)
% 37.45/10.53 | (895) all_0_73_73 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (895) can reduce 1832 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (1227) ~ (all_0_81_81 = e1)
% 37.45/10.53 | (1228) all_0_81_81 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (1228) can reduce 1137 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (677) ~ (all_0_76_76 = e3)
% 37.45/10.53 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (50), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (695) all_0_78_78 = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (695) can reduce 657 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.53 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (698), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (703) all_0_78_78 = e2
% 37.45/10.53 |
% 37.45/10.53 | Equations (703) can reduce 689 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (689) ~ (all_0_78_78 = e2)
% 37.45/10.53 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (706), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (710) all_0_78_78 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (710) can reduce 204 to:
% 37.45/10.53 | (797) ~ (all_0_76_76 = e1)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (678), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (761) all_0_76_76 = e2
% 37.45/10.53 |
% 37.45/10.53 | Equations (761) can reduce 765 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (765) ~ (all_0_76_76 = e2)
% 37.45/10.53 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (766), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (781) all_0_76_76 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (781) can reduce 797 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (797) ~ (all_0_76_76 = e1)
% 37.45/10.53 | (798) all_0_76_76 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (798) can reduce 1836 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (709) ~ (all_0_78_78 = e1)
% 37.45/10.53 | (713) all_0_78_78 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (713) can reduce 690 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (643) ~ (all_0_74_74 = e2)
% 37.45/10.53 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (702), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (707) all_0_74_74 = e1
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (829,707) yields a new equation:
% 37.45/10.53 | (1461) all_0_80_80 = e1
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 1461 yields:
% 37.45/10.53 | (1013) all_0_80_80 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (1013) can reduce 1087 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.53 | (716) all_0_74_74 = e0
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (829,716) yields a new equation:
% 37.45/10.53 | (1466) all_0_80_80 = e0
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 1466 yields:
% 37.45/10.53 | (1268) all_0_80_80 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (1268) can reduce 1260 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (1024) all_0_8_8 = e0
% 37.45/10.53 | (403) ~ (all_0_72_72 = e1)
% 37.45/10.53 |
% 37.45/10.53 | Equations (434) can reduce 403 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (906) all_0_2_2 = e1
% 37.45/10.53 | (912) ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e0)
% 37.45/10.53 |
% 37.45/10.53 | From (906) and (89) follows:
% 37.45/10.53 | (908) op(all_0_8_8, e3) = e1
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (27), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (575) ~ (all_0_2_2 = e1)
% 37.45/10.53 |
% 37.45/10.53 | Equations (906) can reduce 575 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (906) all_0_2_2 = e1
% 37.45/10.53 | (907) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e2)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (147), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (419) ~ (all_0_72_72 = e2)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (133), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (405) ~ (all_0_72_72 = e3)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (24), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (407) all_0_72_72 = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (407) can reduce 405 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (405) ~ (all_0_72_72 = e3)
% 37.45/10.53 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (230), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (403) ~ (all_0_72_72 = e1)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (412), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (413) all_0_72_72 = e2
% 37.45/10.53 |
% 37.45/10.53 | Equations (413) can reduce 419 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (419) ~ (all_0_72_72 = e2)
% 37.45/10.53 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (433), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (434) all_0_72_72 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (434) can reduce 403 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (403) ~ (all_0_72_72 = e1)
% 37.45/10.53 | (439) all_0_72_72 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (439) can reduce 515 to:
% 37.45/10.53 | (1031) ~ (unit = e0)
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 1031 yields:
% 37.45/10.53 | (402) ~ (unit = e0)
% 37.45/10.53 |
% 37.45/10.53 | From (439) and (4) follows:
% 37.45/10.53 | (591) op(e0, e3) = all_0_8_8
% 37.45/10.53 |
% 37.45/10.53 | From (439) and (1809) follows:
% 37.45/10.53 | (1846) op(e0, e0) = e3
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (912), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (1039) ~ (all_0_8_8 = e2)
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e0, e3, all_0_8_8, unit and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = unit, yields:
% 37.45/10.53 | (652) all_0_8_8 = unit
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e0, e0, e3, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = e3, yields:
% 37.45/10.53 | (447) all_0_87_87 = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (652) can reduce 1039 to:
% 37.45/10.53 | (622) ~ (unit = e2)
% 37.45/10.53 |
% 37.45/10.53 | Equations (447) can reduce 1742 to:
% 37.45/10.53 | (607) ~ (unit = e3)
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 607 yields:
% 37.45/10.53 | (406) ~ (unit = e3)
% 37.45/10.53 |
% 37.45/10.53 | From (652) and (908) follows:
% 37.45/10.53 | (965) op(unit, e3) = e1
% 37.45/10.53 |
% 37.45/10.53 | From (447) and (203) follows:
% 37.45/10.53 | (2725) op(e1, e3) = all_0_55_55
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (241), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (448) all_0_82_82 = e3
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (448,317) yields a new equation:
% 37.45/10.53 | (409) unit = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (409) can reduce 406 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (454) ~ (all_0_82_82 = e3)
% 37.45/10.53 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (317) can reduce 454 to:
% 37.45/10.53 | (406) ~ (unit = e3)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (853), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (417) all_0_82_82 = e2
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (417,317) yields a new equation:
% 37.45/10.53 | (415) unit = e2
% 37.45/10.53 |
% 37.45/10.53 | Equations (415) can reduce 622 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (427) ~ (all_0_82_82 = e2)
% 37.45/10.53 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (119), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (409) unit = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (409) can reduce 406 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (406) ~ (unit = e3)
% 37.45/10.53 | (871) unit = e2 | unit = e1 | unit = e0
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (74), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (679) all_0_75_75 = e3
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (1721,679) yields a new equation:
% 37.45/10.53 | (408) unit = e3
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 408 yields:
% 37.45/10.53 | (409) unit = e3
% 37.45/10.53 |
% 37.45/10.53 | Equations (409) can reduce 406 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (718) ~ (all_0_75_75 = e3)
% 37.45/10.53 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (1721) can reduce 718 to:
% 37.45/10.53 | (406) ~ (unit = e3)
% 37.45/10.53 |
% 37.45/10.53 +-Applying beta-rule and splitting (866), into two cases.
% 37.45/10.53 |-Branch one:
% 37.45/10.53 | (464) all_0_82_82 = e1
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (464,317) yields a new equation:
% 37.45/10.53 | (436) unit = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (436) can reduce 406 to:
% 37.45/10.53 | (1007) ~ (e3 = e1)
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 1007 yields:
% 37.45/10.53 | (215) ~ (e3 = e1)
% 37.45/10.53 |
% 37.45/10.53 | From (436) and (256) follows:
% 37.45/10.53 | (1009) op(e1, e3) = e3
% 37.45/10.53 |
% 37.45/10.53 | From (436) and (965) follows:
% 37.45/10.53 | (1010) op(e1, e3) = e1
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e1, e3, all_0_55_55, all_0_80_80 and discharging atoms op(e1, e3) = all_0_55_55, op(e1, e3) = all_0_80_80, yields:
% 37.45/10.53 | (2754) all_0_55_55 = all_0_80_80
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e1, e3, e3, all_0_55_55 and discharging atoms op(e1, e3) = all_0_55_55, op(e1, e3) = e3, yields:
% 37.45/10.53 | (2755) all_0_55_55 = e3
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e1, e3, e1, all_0_55_55 and discharging atoms op(e1, e3) = all_0_55_55, op(e1, e3) = e1, yields:
% 37.45/10.53 | (2756) all_0_55_55 = e1
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (2756,2754) yields a new equation:
% 37.45/10.53 | (1013) all_0_80_80 = e1
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (2755,2754) yields a new equation:
% 37.45/10.53 | (1015) all_0_80_80 = e3
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (1013,1015) yields a new equation:
% 37.45/10.53 | (1017) e3 = e1
% 37.45/10.53 |
% 37.45/10.53 | Equations (1017) can reduce 215 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (470) ~ (all_0_82_82 = e1)
% 37.45/10.53 | (480) all_0_82_82 = e0
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (480,317) yields a new equation:
% 37.45/10.53 | (441) unit = e0
% 37.45/10.53 |
% 37.45/10.53 | Equations (441) can reduce 402 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (1282) all_0_8_8 = e2
% 37.45/10.53 | (401) ~ (all_0_72_72 = e0)
% 37.45/10.53 |
% 37.45/10.53 | Equations (439) can reduce 401 to:
% 37.45/10.53 | (304) $false
% 37.45/10.53 |
% 37.45/10.53 |-The branch is then unsatisfiable
% 37.45/10.53 |-Branch two:
% 37.45/10.53 | (434) all_0_72_72 = e1
% 37.45/10.53 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.45/10.53 |
% 37.45/10.53 | Equations (434) can reduce 515 to:
% 37.45/10.53 | (928) ~ (unit = e1)
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 928 yields:
% 37.45/10.53 | (404) ~ (unit = e1)
% 37.45/10.53 |
% 37.45/10.53 | From (434) and (4) follows:
% 37.45/10.53 | (816) op(e1, e3) = all_0_8_8
% 37.45/10.53 |
% 37.45/10.53 | From (434) and (35) follows:
% 37.45/10.53 | (818) op(e1, e1) = all_0_10_10
% 37.45/10.53 |
% 37.45/10.53 | From (434) and (2) follows:
% 37.45/10.53 | (819) op(e3, e1) = all_0_8_8
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 37.45/10.53 | (822) all_0_8_8 = all_0_74_74
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 37.45/10.53 | (824) all_0_8_8 = all_0_80_80
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e1, e1, all_0_10_10, unit and discharging atoms op(e1, e1) = all_0_10_10, op(e1, e1) = unit, yields:
% 37.45/10.53 | (826) all_0_10_10 = unit
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (822,824) yields a new equation:
% 37.45/10.53 | (828) all_0_74_74 = all_0_80_80
% 37.45/10.53 |
% 37.45/10.53 | Simplifying 828 yields:
% 37.45/10.53 | (829) all_0_74_74 = all_0_80_80
% 37.45/10.53 |
% 37.45/10.53 | From (824) and (908) follows:
% 37.45/10.53 | (942) op(all_0_80_80, e3) = e1
% 37.45/10.53 |
% 37.45/10.53 | From (829) and (67) follows:
% 37.45/10.53 | (943) op(all_0_80_80, e3) = all_0_16_16
% 37.45/10.53 |
% 37.45/10.53 | From (829)(826) and (70) follows:
% 37.45/10.53 | (944) op(e3, all_0_80_80) = unit
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with all_0_80_80, e3, e1, all_0_16_16 and discharging atoms op(all_0_80_80, e3) = all_0_16_16, op(all_0_80_80, e3) = e1, yields:
% 37.45/10.53 | (945) all_0_16_16 = e1
% 37.45/10.53 |
% 37.45/10.53 | Instantiating formula (268) with e3, all_0_80_80, unit, all_0_16_16 and discharging atoms op(e3, all_0_80_80) = all_0_16_16, op(e3, all_0_80_80) = unit, yields:
% 37.45/10.53 | (946) all_0_16_16 = unit
% 37.45/10.53 |
% 37.45/10.53 | Combining equations (946,945) yields a new equation:
% 37.45/10.53 | (435) unit = e1
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 435 yields:
% 37.45/10.54 | (436) unit = e1
% 37.45/10.54 |
% 37.45/10.54 | Equations (436) can reduce 404 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (407) all_0_72_72 = e3
% 37.45/10.54 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (407) can reduce 515 to:
% 37.45/10.54 | (607) ~ (unit = e3)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 607 yields:
% 37.45/10.54 | (406) ~ (unit = e3)
% 37.45/10.54 |
% 37.45/10.54 | From (407) and (1809) follows:
% 37.45/10.54 | (1356) op(e0, e3) = e3
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e0, e3, e3, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e3, yields:
% 37.45/10.54 | (409) unit = e3
% 37.45/10.54 |
% 37.45/10.54 | Equations (409) can reduce 406 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (413) all_0_72_72 = e2
% 37.45/10.54 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Equations (413) can reduce 17 to:
% 37.45/10.54 | (2797) ~ (all_0_73_73 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2797 yields:
% 37.45/10.54 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Equations (413) can reduce 134 to:
% 37.45/10.54 | (642) ~ (all_0_74_74 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 642 yields:
% 37.45/10.54 | (643) ~ (all_0_74_74 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Equations (413) can reduce 515 to:
% 37.45/10.54 | (621) ~ (unit = e2)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 621 yields:
% 37.45/10.54 | (622) ~ (unit = e2)
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (4) follows:
% 37.45/10.54 | (648) op(e2, e3) = all_0_8_8
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (3) follows:
% 37.45/10.54 | (2142) op(e2, e2) = all_0_9_9
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (35) follows:
% 37.45/10.54 | (649) op(e2, e1) = all_0_10_10
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (1800) follows:
% 37.45/10.54 | (595) op(e2, e0) = e3
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (2) follows:
% 37.45/10.54 | (2144) op(e3, e2) = all_0_8_8
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (149) follows:
% 37.45/10.54 | (2145) op(e2, e2) = all_0_24_24
% 37.45/10.54 |
% 37.45/10.54 | From (413) and (1809) follows:
% 37.45/10.54 | (592) op(e0, e2) = e3
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (907), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (959) ~ (all_0_8_8 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.45/10.54 | (2147) all_0_8_8 = all_0_73_73
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.45/10.54 | (2148) all_0_8_8 = all_0_76_76
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.45/10.54 | (2149) all_0_9_9 = unit
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e2, e2, all_0_24_24, all_0_9_9 and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = all_0_24_24, yields:
% 37.45/10.54 | (2150) all_0_9_9 = all_0_24_24
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e2, e1, all_0_10_10, all_0_78_78 and discharging atoms op(e2, e1) = all_0_10_10, op(e2, e1) = all_0_78_78, yields:
% 37.45/10.54 | (654) all_0_10_10 = all_0_78_78
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 37.45/10.54 | (598) all_0_79_79 = e3
% 37.45/10.54 |
% 37.45/10.54 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 37.45/10.54 | (600) all_0_85_85 = e3
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (2147,2148) yields a new equation:
% 37.45/10.54 | (2153) all_0_73_73 = all_0_76_76
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2153 yields:
% 37.45/10.54 | (2154) all_0_73_73 = all_0_76_76
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (2150,2149) yields a new equation:
% 37.45/10.54 | (2155) all_0_24_24 = unit
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2155 yields:
% 37.45/10.54 | (2156) all_0_24_24 = unit
% 37.45/10.54 |
% 37.45/10.54 | Equations (2148) can reduce 959 to:
% 37.45/10.54 | (1836) ~ (all_0_76_76 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Equations (2154) can reduce 199 to:
% 37.45/10.54 | (2823) ~ (all_0_74_74 = all_0_76_76)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2823 yields:
% 37.45/10.54 | (2824) ~ (all_0_74_74 = all_0_76_76)
% 37.45/10.54 |
% 37.45/10.54 | Equations (2154) can reduce 185 to:
% 37.45/10.54 | (2825) ~ (all_0_76_76 = all_0_81_81)
% 37.45/10.54 |
% 37.45/10.54 | Equations (2154) can reduce 1725 to:
% 37.45/10.54 | (1729) ~ (all_0_76_76 = unit)
% 37.45/10.54 |
% 37.45/10.54 | Equations (2154) can reduce 888 to:
% 37.45/10.54 | (765) ~ (all_0_76_76 = e2)
% 37.45/10.54 |
% 37.45/10.54 | Equations (598) can reduce 297 to:
% 37.45/10.54 | (677) ~ (all_0_76_76 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (598) can reduce 44 to:
% 37.45/10.54 | (1057) ~ (all_0_83_83 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 1057 yields:
% 37.45/10.54 | (1058) ~ (all_0_83_83 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (600) can reduce 281 to:
% 37.45/10.54 | (1120) ~ (all_0_81_81 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (600) can reduce 130 to:
% 37.45/10.54 | (1060) ~ (all_0_86_86 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 1060 yields:
% 37.45/10.54 | (1061) ~ (all_0_86_86 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (600) can reduce 156 to:
% 37.45/10.54 | (2429) ~ (all_0_87_87 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2429 yields:
% 37.45/10.54 | (457) ~ (all_0_87_87 = e3)
% 37.45/10.54 |
% 37.45/10.54 | Equations (600) can reduce 523 to:
% 37.45/10.54 | (607) ~ (unit = e3)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 607 yields:
% 37.45/10.54 | (406) ~ (unit = e3)
% 37.45/10.54 |
% 37.45/10.54 | From (2154) and (121) follows:
% 37.45/10.54 | (2838) op(all_0_76_76, e0) = all_0_15_15
% 37.45/10.54 |
% 37.45/10.54 | From (2156) and (270) follows:
% 37.45/10.54 | (2161) op(all_0_76_76, e3) = unit
% 37.45/10.54 |
% 37.45/10.54 | From (598) and (293) follows:
% 37.45/10.54 | (2840) op(e3, e1) = all_0_38_38
% 37.45/10.54 |
% 37.45/10.54 | From (600) and (244) follows:
% 37.45/10.54 | (2841) op(e3, e3) = all_0_60_60
% 37.45/10.54 |
% 37.45/10.54 | From (600) and (280) follows:
% 37.45/10.54 | (1066) op(e3, e1) = all_0_62_62
% 37.45/10.54 |
% 37.45/10.54 | From (654) and (70) follows:
% 37.45/10.54 | (663) op(e3, all_0_74_74) = all_0_78_78
% 37.45/10.54 |
% 37.45/10.54 | From (598) and (227) follows:
% 37.45/10.54 | (2844) op(e3, e3) = all_0_15_15
% 37.45/10.54 |
% 37.45/10.54 | From (654) and (649) follows:
% 37.45/10.54 | (209) op(e2, e1) = all_0_78_78
% 37.45/10.54 |
% 37.45/10.54 | From (598) and (31) follows:
% 37.45/10.54 | (2846) op(e1, e3) = all_0_47_47
% 37.45/10.54 |
% 37.45/10.54 | From (600) and (72) follows:
% 37.45/10.54 | (592) op(e0, e2) = e3
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (71), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (878) all_0_73_73 = e3
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (2154,878) yields a new equation:
% 37.45/10.54 | (2849) all_0_76_76 = e3
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2849 yields:
% 37.45/10.54 | (673) all_0_76_76 = e3
% 37.45/10.54 |
% 37.45/10.54 | Equations (673) can reduce 677 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (882) ~ (all_0_73_73 = e3)
% 37.45/10.54 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (883), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (884) all_0_73_73 = e2
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (2154,884) yields a new equation:
% 37.45/10.54 | (2380) all_0_76_76 = e2
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2380 yields:
% 37.45/10.54 | (761) all_0_76_76 = e2
% 37.45/10.54 |
% 37.45/10.54 | Equations (761) can reduce 765 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (888) ~ (all_0_73_73 = e2)
% 37.45/10.54 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (889), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (890) all_0_73_73 = e1
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (2154,890) yields a new equation:
% 37.45/10.54 | (2861) all_0_76_76 = e1
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2861 yields:
% 37.45/10.54 | (781) all_0_76_76 = e1
% 37.45/10.54 |
% 37.45/10.54 | Equations (781) can reduce 2824 to:
% 37.45/10.54 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.54 |
% 37.45/10.54 | Equations (781) can reduce 2825 to:
% 37.45/10.54 | (2864) ~ (all_0_81_81 = e1)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 2864 yields:
% 37.45/10.54 | (1227) ~ (all_0_81_81 = e1)
% 37.45/10.54 |
% 37.45/10.54 | Equations (781) can reduce 1729 to:
% 37.45/10.54 | (928) ~ (unit = e1)
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 928 yields:
% 37.45/10.54 | (404) ~ (unit = e1)
% 37.45/10.54 |
% 37.45/10.54 | From (781) and (2161) follows:
% 37.45/10.54 | (2868) op(e1, e3) = unit
% 37.45/10.54 |
% 37.45/10.54 | From (781) and (2838) follows:
% 37.45/10.54 | (2869) op(e1, e0) = all_0_15_15
% 37.45/10.54 |
% 37.45/10.54 | From (781) and (210) follows:
% 37.45/10.54 | (2870) op(e0, e1) = all_0_60_60
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (241), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (448) all_0_82_82 = e3
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (317,448) yields a new equation:
% 37.45/10.54 | (408) unit = e3
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 408 yields:
% 37.45/10.54 | (409) unit = e3
% 37.45/10.54 |
% 37.45/10.54 | Equations (409) can reduce 406 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (454) ~ (all_0_82_82 = e3)
% 37.45/10.54 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.45/10.54 |
% 37.45/10.54 | Equations (317) can reduce 454 to:
% 37.45/10.54 | (406) ~ (unit = e3)
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (94), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (449) all_0_77_77 = e3
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (400,449) yields a new equation:
% 37.45/10.54 | (408) unit = e3
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 408 yields:
% 37.45/10.54 | (409) unit = e3
% 37.45/10.54 |
% 37.45/10.54 | Equations (409) can reduce 406 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (450) ~ (all_0_77_77 = e3)
% 37.45/10.54 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (1169), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (418) all_0_77_77 = e2
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (400,418) yields a new equation:
% 37.45/10.54 | (414) unit = e2
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 414 yields:
% 37.45/10.54 | (415) unit = e2
% 37.45/10.54 |
% 37.45/10.54 | Equations (415) can reduce 622 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (423) ~ (all_0_77_77 = e2)
% 37.45/10.54 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 37.45/10.54 |
% 37.45/10.54 +-Applying beta-rule and splitting (1176), into two cases.
% 37.45/10.54 |-Branch one:
% 37.45/10.54 | (465) all_0_77_77 = e1
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (400,465) yields a new equation:
% 37.45/10.54 | (435) unit = e1
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 435 yields:
% 37.45/10.54 | (436) unit = e1
% 37.45/10.54 |
% 37.45/10.54 | Equations (436) can reduce 404 to:
% 37.45/10.54 | (304) $false
% 37.45/10.54 |
% 37.45/10.54 |-The branch is then unsatisfiable
% 37.45/10.54 |-Branch two:
% 37.45/10.54 | (466) ~ (all_0_77_77 = e1)
% 37.45/10.54 | (481) all_0_77_77 = e0
% 37.45/10.54 |
% 37.45/10.54 | Combining equations (400,481) yields a new equation:
% 37.45/10.54 | (440) unit = e0
% 37.45/10.54 |
% 37.45/10.54 | Simplifying 440 yields:
% 37.45/10.54 | (441) unit = e0
% 37.45/10.54 |
% 37.45/10.54 | Equations (441) can reduce 517 to:
% 37.45/10.54 | (688) ~ (all_0_74_74 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Equations (441) can reduce 527 to:
% 37.45/10.54 | (690) ~ (all_0_78_78 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Equations (441) can reduce 531 to:
% 37.45/10.54 | (1260) ~ (all_0_80_80 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Equations (441) can reduce 521 to:
% 37.45/10.54 | (1137) ~ (all_0_81_81 = e0)
% 37.45/10.54 |
% 37.45/10.54 | Equations (441) can reduce 364 to:
% 37.45/10.55 | (1470) ~ (all_0_83_83 = e0)
% 37.45/10.55 |
% 37.45/10.55 | Equations (441) can reduce 365 to:
% 37.45/10.55 | (1472) ~ (all_0_86_86 = e0)
% 37.45/10.55 |
% 37.45/10.55 | Equations (441) can reduce 1742 to:
% 37.45/10.55 | (489) ~ (all_0_87_87 = e0)
% 37.45/10.55 |
% 37.45/10.55 | From (441) and (113) follows:
% 37.45/10.55 | (2905) op(e3, e0) = e3
% 37.45/10.55 |
% 37.45/10.55 | From (441) and (2868) follows:
% 37.45/10.55 | (2221) op(e1, e3) = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (176), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (825) all_0_81_81 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (825) can reduce 1120 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (1120) ~ (all_0_81_81 = e3)
% 37.45/10.55 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (245), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1015) all_0_80_80 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (1015) can reduce 217 to:
% 37.45/10.55 | (1057) ~ (all_0_83_83 = e3)
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 1057 yields:
% 37.45/10.55 | (1058) ~ (all_0_83_83 = e3)
% 37.45/10.55 |
% 37.45/10.55 | From (1015) and (40) follows:
% 37.45/10.55 | (1121) op(e3, e1) = all_0_42_42
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (1142), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1155) all_0_81_81 = e2
% 37.45/10.55 |
% 37.45/10.55 | Equations (1155) can reduce 189 to:
% 37.45/10.55 | (2916) ~ (all_0_83_83 = e2)
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2916 yields:
% 37.45/10.55 | (1105) ~ (all_0_83_83 = e2)
% 37.45/10.55 |
% 37.45/10.55 | From (1155) and (164) follows:
% 37.45/10.55 | (1148) op(e0, e2) = all_0_65_65
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (151), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1110) all_0_83_83 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (1110) can reduce 1058 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (1058) ~ (all_0_83_83 = e3)
% 37.45/10.55 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (1113), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1125) all_0_83_83 = e2
% 37.45/10.55 |
% 37.45/10.55 | Equations (1125) can reduce 1105 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (1105) ~ (all_0_83_83 = e2)
% 37.45/10.55 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (1128), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1133) all_0_83_83 = e1
% 37.45/10.55 |
% 37.45/10.55 | Equations (1133) can reduce 182 to:
% 37.45/10.55 | (2928) ~ (all_0_87_87 = e1)
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2928 yields:
% 37.45/10.55 | (473) ~ (all_0_87_87 = e1)
% 37.45/10.55 |
% 37.45/10.55 | From (1133) and (144) follows:
% 37.45/10.55 | (2930) op(e3, e1) = all_0_19_19
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (34), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (447) all_0_87_87 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (447) can reduce 457 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (457) ~ (all_0_87_87 = e3)
% 37.45/10.55 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (627), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (416) all_0_87_87 = e2
% 37.45/10.55 |
% 37.45/10.55 | Equations (416) can reduce 234 to:
% 37.45/10.55 | (1106) ~ (all_0_86_86 = e2)
% 37.45/10.55 |
% 37.45/10.55 | From (416) and (55) follows:
% 37.45/10.55 | (2937) op(e0, e2) = all_0_71_71
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (123), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1114) all_0_86_86 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (1114) can reduce 1061 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (1061) ~ (all_0_86_86 = e3)
% 37.45/10.55 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (11), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (691) all_0_74_74 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (691) can reduce 38 to:
% 37.45/10.55 | (656) ~ (all_0_78_78 = e3)
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 656 yields:
% 37.45/10.55 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.55 |
% 37.45/10.55 | From (691) and (67) follows:
% 37.45/10.55 | (721) op(e3, e3) = all_0_16_16
% 37.45/10.55 |
% 37.45/10.55 | From (691) and (237) follows:
% 37.45/10.55 | (2946) op(e3, e0) = all_0_19_19
% 37.45/10.55 |
% 37.45/10.55 | From (691) and (663) follows:
% 37.45/10.55 | (722) op(e3, e3) = all_0_78_78
% 37.45/10.55 |
% 37.45/10.55 | From (691) and (98) follows:
% 37.45/10.55 | (2948) op(e1, e3) = all_0_42_42
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (50), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (695) all_0_78_78 = e3
% 37.45/10.55 |
% 37.45/10.55 | Equations (695) can reduce 657 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (657) ~ (all_0_78_78 = e3)
% 37.45/10.55 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (1117), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1129) all_0_86_86 = e2
% 37.45/10.55 |
% 37.45/10.55 | Equations (1129) can reduce 1106 to:
% 37.45/10.55 | (304) $false
% 37.45/10.55 |
% 37.45/10.55 |-The branch is then unsatisfiable
% 37.45/10.55 |-Branch two:
% 37.45/10.55 | (1106) ~ (all_0_86_86 = e2)
% 37.45/10.55 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (698), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (703) all_0_78_78 = e2
% 37.45/10.55 |
% 37.45/10.55 | From (703) and (722) follows:
% 37.45/10.55 | (665) op(e3, e3) = e2
% 37.45/10.55 |
% 37.45/10.55 | From (703) and (209) follows:
% 37.45/10.55 | (2959) op(e2, e1) = e2
% 37.45/10.55 |
% 37.45/10.55 | From (703) and (228) follows:
% 37.45/10.55 | (2960) op(e0, e2) = all_0_62_62
% 37.45/10.55 |
% 37.45/10.55 +-Applying beta-rule and splitting (1132), into two cases.
% 37.45/10.55 |-Branch one:
% 37.45/10.55 | (1143) all_0_86_86 = e1
% 37.45/10.55 |
% 37.45/10.55 | Equations (1143) can reduce 1472 to:
% 37.45/10.55 | (69) ~ (e1 = e0)
% 37.45/10.55 |
% 37.45/10.55 | From (1143) and (250) follows:
% 37.45/10.55 | (1541) op(e1, e0) = all_0_67_67
% 37.45/10.55 |
% 37.45/10.55 | From (1143) and (232) follows:
% 37.45/10.55 | (1542) op(e2, e1) = all_0_38_38
% 37.45/10.55 |
% 37.45/10.55 | From (1143) and (223) follows:
% 37.45/10.55 | (2491) op(e0, e1) = e1
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e3, all_0_16_16, e2 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = e2, yields:
% 37.45/10.55 | (724) all_0_16_16 = e2
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e3, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e3) = all_0_15_15, op(e3, e3) = all_0_16_16, yields:
% 37.45/10.55 | (2967) all_0_15_15 = all_0_16_16
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e3, all_0_60_60, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_60_60, yields:
% 37.45/10.55 | (2968) all_0_16_16 = all_0_60_60
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e1, all_0_38_38, all_0_19_19 and discharging atoms op(e3, e1) = all_0_19_19, op(e3, e1) = all_0_38_38, yields:
% 37.45/10.55 | (2969) all_0_19_19 = all_0_38_38
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e1, all_0_62_62, all_0_42_42 and discharging atoms op(e3, e1) = all_0_42_42, op(e3, e1) = all_0_62_62, yields:
% 37.45/10.55 | (1200) all_0_42_42 = all_0_62_62
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e3, e0, e3, all_0_19_19 and discharging atoms op(e3, e0) = all_0_19_19, op(e3, e0) = e3, yields:
% 37.45/10.55 | (2971) all_0_19_19 = e3
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e2, e1, e2, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e2, yields:
% 37.45/10.55 | (2583) all_0_38_38 = e2
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e1, e3, all_0_47_47, all_0_42_42 and discharging atoms op(e1, e3) = all_0_42_42, op(e1, e3) = all_0_47_47, yields:
% 37.45/10.55 | (1586) all_0_42_42 = all_0_47_47
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e1, e3, e0, all_0_47_47 and discharging atoms op(e1, e3) = all_0_47_47, op(e1, e3) = e0, yields:
% 37.45/10.55 | (2974) all_0_47_47 = e0
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e1, e0, all_0_67_67, all_0_15_15 and discharging atoms op(e1, e0) = all_0_15_15, op(e1, e0) = all_0_67_67, yields:
% 37.45/10.55 | (2975) all_0_15_15 = all_0_67_67
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e0, e2, all_0_65_65, all_0_62_62 and discharging atoms op(e0, e2) = all_0_62_62, op(e0, e2) = all_0_65_65, yields:
% 37.45/10.55 | (1194) all_0_62_62 = all_0_65_65
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e0, e2, all_0_71_71, e3 and discharging atoms op(e0, e2) = all_0_71_71, op(e0, e2) = e3, yields:
% 37.45/10.55 | (2570) all_0_71_71 = e3
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e0, e2, all_0_71_71, all_0_65_65 and discharging atoms op(e0, e2) = all_0_65_65, op(e0, e2) = all_0_71_71, yields:
% 37.45/10.55 | (2596) all_0_65_65 = all_0_71_71
% 37.45/10.55 |
% 37.45/10.55 | Instantiating formula (268) with e0, e1, e1, all_0_60_60 and discharging atoms op(e0, e1) = all_0_60_60, op(e0, e1) = e1, yields:
% 37.45/10.55 | (2979) all_0_60_60 = e1
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (2967,2975) yields a new equation:
% 37.45/10.55 | (2980) all_0_16_16 = all_0_67_67
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2980 yields:
% 37.45/10.55 | (2981) all_0_16_16 = all_0_67_67
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (724,2968) yields a new equation:
% 37.45/10.55 | (2982) all_0_60_60 = e2
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (2981,2968) yields a new equation:
% 37.45/10.55 | (2983) all_0_60_60 = all_0_67_67
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (2969,2971) yields a new equation:
% 37.45/10.55 | (2984) all_0_38_38 = e3
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2984 yields:
% 37.45/10.55 | (1605) all_0_38_38 = e3
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (2583,1605) yields a new equation:
% 37.45/10.55 | (1215) e3 = e2
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (1586,1200) yields a new equation:
% 37.45/10.55 | (2987) all_0_47_47 = all_0_62_62
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2987 yields:
% 37.45/10.55 | (2988) all_0_47_47 = all_0_62_62
% 37.45/10.55 |
% 37.45/10.55 | Combining equations (2988,2974) yields a new equation:
% 37.45/10.55 | (2989) all_0_62_62 = e0
% 37.45/10.55 |
% 37.45/10.55 | Simplifying 2989 yields:
% 37.45/10.55 | (2990) all_0_62_62 = e0
% 37.45/10.55 |
% 37.45/10.56 | Combining equations (2979,2983) yields a new equation:
% 37.45/10.56 | (1212) all_0_67_67 = e1
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (2982,2983) yields a new equation:
% 37.45/10.56 | (1197) all_0_67_67 = e2
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (1194,2990) yields a new equation:
% 37.45/10.56 | (1209) all_0_65_65 = e0
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 1209 yields:
% 37.45/10.56 | (1210) all_0_65_65 = e0
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (2596,1210) yields a new equation:
% 37.45/10.56 | (2597) all_0_71_71 = e0
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 2597 yields:
% 37.45/10.56 | (377) all_0_71_71 = e0
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (1212,1197) yields a new equation:
% 37.45/10.56 | (1219) e2 = e1
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (2570,377) yields a new equation:
% 37.45/10.56 | (1216) e3 = e0
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 1216 yields:
% 37.45/10.56 | (1217) e3 = e0
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (1215,1217) yields a new equation:
% 37.45/10.56 | (1220) e2 = e0
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 1220 yields:
% 37.45/10.56 | (1221) e2 = e0
% 37.45/10.56 |
% 37.45/10.56 | Combining equations (1219,1221) yields a new equation:
% 37.45/10.56 | (1632) e1 = e0
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 1632 yields:
% 37.45/10.56 | (1222) e1 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1222) can reduce 69 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1090) ~ (all_0_86_86 = e1)
% 37.45/10.56 | (1146) all_0_86_86 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1146) can reduce 1472 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (689) ~ (all_0_78_78 = e2)
% 37.45/10.56 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1132), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1143) all_0_86_86 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (1143) can reduce 266 to:
% 37.45/10.56 | (709) ~ (all_0_78_78 = e1)
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (706), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (710) all_0_78_78 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (710) can reduce 709 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (709) ~ (all_0_78_78 = e1)
% 37.45/10.56 | (713) all_0_78_78 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (713) can reduce 690 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1090) ~ (all_0_86_86 = e1)
% 37.45/10.56 | (1146) all_0_86_86 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1146) can reduce 1472 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (680) ~ (all_0_74_74 = e3)
% 37.45/10.56 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (694), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (699) all_0_74_74 = e2
% 37.45/10.56 |
% 37.45/10.56 | Equations (699) can reduce 643 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (643) ~ (all_0_74_74 = e2)
% 37.45/10.56 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (702), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (707) all_0_74_74 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (707) can reduce 715 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (715) ~ (all_0_74_74 = e1)
% 37.45/10.56 | (716) all_0_74_74 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (716) can reduce 688 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (430) ~ (all_0_87_87 = e2)
% 37.45/10.56 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (632), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (463) all_0_87_87 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (463) can reduce 473 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (473) ~ (all_0_87_87 = e1)
% 37.45/10.56 | (479) all_0_87_87 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (479) can reduce 489 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1088) ~ (all_0_83_83 = e1)
% 37.45/10.56 | (1136) all_0_83_83 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1136) can reduce 1470 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1104) ~ (all_0_81_81 = e2)
% 37.45/10.56 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1158), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1163) all_0_81_81 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (1163) can reduce 1227 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1227) ~ (all_0_81_81 = e1)
% 37.45/10.56 | (1228) all_0_81_81 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1228) can reduce 1137 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1250) ~ (all_0_80_80 = e3)
% 37.45/10.56 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1142), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1155) all_0_81_81 = e2
% 37.45/10.56 |
% 37.45/10.56 | Equations (1155) can reduce 242 to:
% 37.45/10.56 | (1103) ~ (all_0_80_80 = e2)
% 37.45/10.56 |
% 37.45/10.56 | Equations (1155) can reduce 189 to:
% 37.45/10.56 | (2916) ~ (all_0_83_83 = e2)
% 37.45/10.56 |
% 37.45/10.56 | Simplifying 2916 yields:
% 37.45/10.56 | (1105) ~ (all_0_83_83 = e2)
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (151), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1110) all_0_83_83 = e3
% 37.45/10.56 |
% 37.45/10.56 | Equations (1110) can reduce 1058 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1058) ~ (all_0_83_83 = e3)
% 37.45/10.56 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1251), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (843) all_0_80_80 = e2
% 37.45/10.56 |
% 37.45/10.56 | Equations (843) can reduce 1103 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1103) ~ (all_0_80_80 = e2)
% 37.45/10.56 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1113), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1125) all_0_83_83 = e2
% 37.45/10.56 |
% 37.45/10.56 | Equations (1125) can reduce 1105 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1105) ~ (all_0_83_83 = e2)
% 37.45/10.56 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1128), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1133) all_0_83_83 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (1133) can reduce 217 to:
% 37.45/10.56 | (1087) ~ (all_0_80_80 = e1)
% 37.45/10.56 |
% 37.45/10.56 +-Applying beta-rule and splitting (1264), into two cases.
% 37.45/10.56 |-Branch one:
% 37.45/10.56 | (1013) all_0_80_80 = e1
% 37.45/10.56 |
% 37.45/10.56 | Equations (1013) can reduce 1087 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1087) ~ (all_0_80_80 = e1)
% 37.45/10.56 | (1268) all_0_80_80 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1268) can reduce 1260 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.45/10.56 |-Branch two:
% 37.45/10.56 | (1088) ~ (all_0_83_83 = e1)
% 37.45/10.56 | (1136) all_0_83_83 = e0
% 37.45/10.56 |
% 37.45/10.56 | Equations (1136) can reduce 1470 to:
% 37.45/10.56 | (304) $false
% 37.45/10.56 |
% 37.45/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (1104) ~ (all_0_81_81 = e2)
% 37.75/10.56 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (1158), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (1163) all_0_81_81 = e1
% 37.75/10.56 |
% 37.75/10.56 | Equations (1163) can reduce 1227 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (1227) ~ (all_0_81_81 = e1)
% 37.75/10.56 | (1228) all_0_81_81 = e0
% 37.75/10.56 |
% 37.75/10.56 | Equations (1228) can reduce 1137 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (894) ~ (all_0_73_73 = e1)
% 37.75/10.56 | (895) all_0_73_73 = e0
% 37.75/10.56 |
% 37.75/10.56 | Combining equations (2154,895) yields a new equation:
% 37.75/10.56 | (2168) all_0_76_76 = e0
% 37.75/10.56 |
% 37.75/10.56 | Simplifying 2168 yields:
% 37.75/10.56 | (798) all_0_76_76 = e0
% 37.75/10.56 |
% 37.75/10.56 | Equations (798) can reduce 1836 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (1024) all_0_8_8 = e0
% 37.75/10.56 | (419) ~ (all_0_72_72 = e2)
% 37.75/10.56 |
% 37.75/10.56 | Equations (413) can reduce 419 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (502) ~ (all_0_5_5 = e2)
% 37.75/10.56 | (503) all_0_5_5 = e1 | all_0_5_5 = e0
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (503), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (504) all_0_5_5 = e1
% 37.75/10.56 |
% 37.75/10.56 | Equations (504) can reduce 313 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (313) ~ (all_0_5_5 = e1)
% 37.75/10.56 | (507) all_0_5_5 = e0
% 37.75/10.56 |
% 37.75/10.56 | Equations (507) can reduce 298 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (3098) ~ (all_0_6_6 = e1)
% 37.75/10.56 | (3099) all_0_6_6 = e0
% 37.75/10.56 |
% 37.75/10.56 | Equations (3099) can reduce 301 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (303) all_0_6_6 = e3
% 37.75/10.56 | (497) all_0_4_4 = e1
% 37.75/10.56 |
% 37.75/10.56 | Equations (497) can reduce 97 to:
% 37.75/10.56 | (3103) ~ (all_0_5_5 = e1)
% 37.75/10.56 |
% 37.75/10.56 | Simplifying 3103 yields:
% 37.75/10.56 | (313) ~ (all_0_5_5 = e1)
% 37.75/10.56 |
% 37.75/10.56 | Equations (497) can reduce 179 to:
% 37.75/10.56 | (314) ~ (all_0_7_7 = e1)
% 37.75/10.56 |
% 37.75/10.56 | Simplifying 314 yields:
% 37.75/10.56 | (315) ~ (all_0_7_7 = e1)
% 37.75/10.56 |
% 37.75/10.56 | Equations (303) can reduce 277 to:
% 37.75/10.56 | (389) ~ (all_0_5_5 = e3)
% 37.75/10.56 |
% 37.75/10.56 | Equations (303) can reduce 73 to:
% 37.75/10.56 | (3108) ~ (all_0_7_7 = e3)
% 37.75/10.56 |
% 37.75/10.56 | Simplifying 3108 yields:
% 37.75/10.56 | (347) ~ (all_0_7_7 = e3)
% 37.75/10.56 |
% 37.75/10.56 | From (497) and (289) follows:
% 37.75/10.56 | (1093) op(e3, e1) = unit
% 37.75/10.56 |
% 37.75/10.56 | From (303) and (114) follows:
% 37.75/10.56 | (2868) op(e1, e3) = unit
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (75), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (348) all_0_7_7 = e3
% 37.75/10.56 |
% 37.75/10.56 | Equations (348) can reduce 347 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (347) ~ (all_0_7_7 = e3)
% 37.75/10.56 | (351) all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (351), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (352) all_0_7_7 = e2
% 37.75/10.56 |
% 37.75/10.56 | Equations (352) can reduce 299 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (299) ~ (all_0_7_7 = e2)
% 37.75/10.56 | (355) all_0_7_7 = e1 | all_0_7_7 = e0
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (355), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (356) all_0_7_7 = e1
% 37.75/10.56 |
% 37.75/10.56 | Equations (356) can reduce 315 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (315) ~ (all_0_7_7 = e1)
% 37.75/10.56 | (359) all_0_7_7 = e0
% 37.75/10.56 |
% 37.75/10.56 | Equations (359) can reduce 105 to:
% 37.75/10.56 | (298) ~ (all_0_5_5 = e0)
% 37.75/10.56 |
% 37.75/10.56 | From (359) and (243) follows:
% 37.75/10.56 | (362) op(e0, e0) = unit
% 37.75/10.56 |
% 37.75/10.56 +-Applying beta-rule and splitting (168), into two cases.
% 37.75/10.56 |-Branch one:
% 37.75/10.56 | (390) all_0_5_5 = e3
% 37.75/10.56 |
% 37.75/10.56 | Equations (390) can reduce 389 to:
% 37.75/10.56 | (304) $false
% 37.75/10.56 |
% 37.75/10.56 |-The branch is then unsatisfiable
% 37.75/10.56 |-Branch two:
% 37.75/10.56 | (389) ~ (all_0_5_5 = e3)
% 37.75/10.57 | (393) all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 37.75/10.57 |
% 37.75/10.57 +-Applying beta-rule and splitting (393), into two cases.
% 37.75/10.57 |-Branch one:
% 37.75/10.57 | (394) all_0_5_5 = e2
% 37.75/10.57 |
% 37.75/10.57 | From (394) and (197) follows:
% 37.75/10.57 | (396) op(e2, e2) = unit
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e3, e1, unit, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = unit, yields:
% 37.75/10.57 | (3132) all_0_74_74 = unit
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e2, e2, unit, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = unit, yields:
% 37.75/10.57 | (400) all_0_77_77 = unit
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e1, e3, unit, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = unit, yields:
% 37.75/10.57 | (3134) all_0_80_80 = unit
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e0, e0, unit, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = unit, yields:
% 37.75/10.57 | (363) all_0_87_87 = unit
% 37.75/10.57 |
% 37.75/10.57 | Equations (3134) can reduce 292 to:
% 37.75/10.57 | (515) ~ (all_0_72_72 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (400) can reduce 66 to:
% 37.75/10.57 | (1725) ~ (all_0_73_73 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 274 to:
% 37.75/10.57 | (519) ~ (all_0_75_75 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (3134) can reduce 173 to:
% 37.75/10.57 | (1729) ~ (all_0_76_76 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (400) can reduce 198 to:
% 37.75/10.57 | (526) ~ (all_0_78_78 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Simplifying 526 yields:
% 37.75/10.57 | (527) ~ (all_0_78_78 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 146 to:
% 37.75/10.57 | (529) ~ (all_0_79_79 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (3134) can reduce 242 to:
% 37.75/10.57 | (520) ~ (all_0_81_81 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Simplifying 520 yields:
% 37.75/10.57 | (521) ~ (all_0_81_81 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (3134) can reduce 141 to:
% 37.75/10.57 | (3145) ~ (all_0_82_82 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Simplifying 3145 yields:
% 37.75/10.57 | (3146) ~ (all_0_82_82 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 182 to:
% 37.75/10.57 | (364) ~ (all_0_83_83 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 191 to:
% 37.75/10.57 | (533) ~ (all_0_84_84 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 156 to:
% 37.75/10.57 | (523) ~ (all_0_85_85 = unit)
% 37.75/10.57 |
% 37.75/10.57 | Equations (363) can reduce 234 to:
% 37.75/10.57 | (365) ~ (all_0_86_86 = unit)
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (67) follows:
% 37.75/10.57 | (3151) op(unit, e3) = all_0_16_16
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (267) follows:
% 37.75/10.57 | (3152) op(unit, e2) = all_0_17_17
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (261) follows:
% 37.75/10.57 | (3153) op(unit, e1) = all_0_18_18
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (237) follows:
% 37.75/10.57 | (3154) op(unit, e0) = all_0_19_19
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (45) follows:
% 37.75/10.57 | (1747) op(unit, e3) = all_0_28_28
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (247) follows:
% 37.75/10.57 | (1748) op(unit, e2) = all_0_29_29
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (80) follows:
% 37.75/10.57 | (1749) op(unit, e1) = all_0_30_30
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (200) follows:
% 37.75/10.57 | (1750) op(unit, e0) = all_0_31_31
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (117) follows:
% 37.75/10.57 | (3159) op(unit, e3) = all_0_40_40
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (283) follows:
% 37.75/10.57 | (3160) op(unit, e2) = all_0_41_41
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (40) follows:
% 37.75/10.57 | (3161) op(unit, e1) = all_0_42_42
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (153) follows:
% 37.75/10.57 | (3162) op(unit, e0) = all_0_43_43
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (59) follows:
% 37.75/10.57 | (366) op(unit, e3) = all_0_68_68
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (255) follows:
% 37.75/10.57 | (367) op(unit, e2) = all_0_69_69
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (61) follows:
% 37.75/10.57 | (368) op(unit, e1) = all_0_70_70
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (70) follows:
% 37.75/10.57 | (3166) op(e3, unit) = all_0_10_10
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (108) follows:
% 37.75/10.57 | (3167) op(e3, unit) = all_0_13_13
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (159) follows:
% 37.75/10.57 | (3168) op(e3, unit) = all_0_16_16
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (158) follows:
% 37.75/10.57 | (370) op(e3, unit) = all_0_23_23
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (285) follows:
% 37.75/10.57 | (3170) op(e2, unit) = all_0_26_26
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (14) follows:
% 37.75/10.57 | (1757) op(e2, unit) = all_0_29_29
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (109) follows:
% 37.75/10.57 | (3172) op(e2, unit) = all_0_32_32
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (103) follows:
% 37.75/10.57 | (3173) op(e2, unit) = all_0_39_39
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (41) follows:
% 37.75/10.57 | (396) op(e2, e2) = unit
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (213) follows:
% 37.75/10.57 | (2868) op(e1, e3) = unit
% 37.75/10.57 |
% 37.75/10.57 | From (3132) and (291) follows:
% 37.75/10.57 | (3176) op(e0, unit) = all_0_58_58
% 37.75/10.57 |
% 37.75/10.57 | From (400) and (220) follows:
% 37.75/10.57 | (3177) op(e0, unit) = all_0_61_61
% 37.75/10.57 |
% 37.75/10.57 | From (3134) and (218) follows:
% 37.75/10.57 | (3178) op(e0, unit) = all_0_64_64
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (55) follows:
% 37.75/10.57 | (371) op(e0, unit) = all_0_71_71
% 37.75/10.57 |
% 37.75/10.57 | From (363) and (29) follows:
% 37.75/10.57 | (362) op(e0, e0) = unit
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e3, all_0_40_40, all_0_16_16 and discharging atoms op(unit, e3) = all_0_16_16, op(unit, e3) = all_0_40_40, yields:
% 37.75/10.57 | (3181) all_0_16_16 = all_0_40_40
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e3, all_0_40_40, all_0_28_28 and discharging atoms op(unit, e3) = all_0_28_28, op(unit, e3) = all_0_40_40, yields:
% 37.75/10.57 | (3182) all_0_28_28 = all_0_40_40
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e3, all_0_68_68, all_0_28_28 and discharging atoms op(unit, e3) = all_0_28_28, op(unit, e3) = all_0_68_68, yields:
% 37.75/10.57 | (3183) all_0_28_28 = all_0_68_68
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e2, all_0_29_29, all_0_17_17 and discharging atoms op(unit, e2) = all_0_17_17, op(unit, e2) = all_0_29_29, yields:
% 37.75/10.57 | (3184) all_0_17_17 = all_0_29_29
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e2, all_0_41_41, all_0_17_17 and discharging atoms op(unit, e2) = all_0_17_17, op(unit, e2) = all_0_41_41, yields:
% 37.75/10.57 | (3185) all_0_17_17 = all_0_41_41
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e2, all_0_69_69, all_0_29_29 and discharging atoms op(unit, e2) = all_0_29_29, op(unit, e2) = all_0_69_69, yields:
% 37.75/10.57 | (3186) all_0_29_29 = all_0_69_69
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e1, all_0_30_30, e1 and discharging atoms op(unit, e1) = all_0_30_30, op(unit, e1) = e1, yields:
% 37.75/10.57 | (1767) all_0_30_30 = e1
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e1, all_0_30_30, all_0_18_18 and discharging atoms op(unit, e1) = all_0_18_18, op(unit, e1) = all_0_30_30, yields:
% 37.75/10.57 | (3188) all_0_18_18 = all_0_30_30
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e1, all_0_42_42, all_0_30_30 and discharging atoms op(unit, e1) = all_0_30_30, op(unit, e1) = all_0_42_42, yields:
% 37.75/10.57 | (3189) all_0_30_30 = all_0_42_42
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e1, all_0_70_70, all_0_18_18 and discharging atoms op(unit, e1) = all_0_18_18, op(unit, e1) = all_0_70_70, yields:
% 37.75/10.57 | (3190) all_0_18_18 = all_0_70_70
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e0, all_0_19_19, e0 and discharging atoms op(unit, e0) = all_0_19_19, op(unit, e0) = e0, yields:
% 37.75/10.57 | (3191) all_0_19_19 = e0
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e0, all_0_31_31, all_0_19_19 and discharging atoms op(unit, e0) = all_0_19_19, op(unit, e0) = all_0_31_31, yields:
% 37.75/10.57 | (3192) all_0_19_19 = all_0_31_31
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with unit, e0, all_0_43_43, all_0_31_31 and discharging atoms op(unit, e0) = all_0_31_31, op(unit, e0) = all_0_43_43, yields:
% 37.75/10.57 | (3193) all_0_31_31 = all_0_43_43
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e3, unit, all_0_13_13, e3 and discharging atoms op(e3, unit) = all_0_13_13, op(e3, unit) = e3, yields:
% 37.75/10.57 | (3194) all_0_13_13 = e3
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e3, unit, all_0_13_13, all_0_10_10 and discharging atoms op(e3, unit) = all_0_10_10, op(e3, unit) = all_0_13_13, yields:
% 37.75/10.57 | (3195) all_0_10_10 = all_0_13_13
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e3, unit, all_0_16_16, all_0_10_10 and discharging atoms op(e3, unit) = all_0_10_10, op(e3, unit) = all_0_16_16, yields:
% 37.75/10.57 | (3196) all_0_10_10 = all_0_16_16
% 37.75/10.57 |
% 37.75/10.57 | Instantiating formula (268) with e3, unit, all_0_23_23, all_0_13_13 and discharging atoms op(e3, unit) = all_0_13_13, op(e3, unit) = all_0_23_23, yields:
% 37.75/10.58 | (3197) all_0_13_13 = all_0_23_23
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e2, unit, all_0_32_32, e2 and discharging atoms op(e2, unit) = all_0_32_32, op(e2, unit) = e2, yields:
% 37.75/10.58 | (3198) all_0_32_32 = e2
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e2, unit, all_0_32_32, all_0_26_26 and discharging atoms op(e2, unit) = all_0_26_26, op(e2, unit) = all_0_32_32, yields:
% 37.75/10.58 | (3199) all_0_26_26 = all_0_32_32
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e2, unit, all_0_32_32, all_0_29_29 and discharging atoms op(e2, unit) = all_0_29_29, op(e2, unit) = all_0_32_32, yields:
% 37.75/10.58 | (3200) all_0_29_29 = all_0_32_32
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e2, unit, all_0_39_39, all_0_26_26 and discharging atoms op(e2, unit) = all_0_26_26, op(e2, unit) = all_0_39_39, yields:
% 37.75/10.58 | (3201) all_0_26_26 = all_0_39_39
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e0, unit, all_0_61_61, e0 and discharging atoms op(e0, unit) = all_0_61_61, op(e0, unit) = e0, yields:
% 37.75/10.58 | (1360) all_0_61_61 = e0
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e0, unit, all_0_61_61, all_0_58_58 and discharging atoms op(e0, unit) = all_0_58_58, op(e0, unit) = all_0_61_61, yields:
% 37.75/10.58 | (3203) all_0_58_58 = all_0_61_61
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e0, unit, all_0_64_64, all_0_58_58 and discharging atoms op(e0, unit) = all_0_58_58, op(e0, unit) = all_0_64_64, yields:
% 37.75/10.58 | (3204) all_0_58_58 = all_0_64_64
% 37.75/10.58 |
% 37.75/10.58 | Instantiating formula (268) with e0, unit, all_0_71_71, all_0_61_61 and discharging atoms op(e0, unit) = all_0_61_61, op(e0, unit) = all_0_71_71, yields:
% 37.75/10.58 | (3205) all_0_61_61 = all_0_71_71
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3195,3196) yields a new equation:
% 37.75/10.58 | (3206) all_0_13_13 = all_0_16_16
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3206 yields:
% 37.75/10.58 | (3207) all_0_13_13 = all_0_16_16
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3194,3207) yields a new equation:
% 37.75/10.58 | (3208) all_0_16_16 = e3
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3197,3207) yields a new equation:
% 37.75/10.58 | (3209) all_0_16_16 = all_0_23_23
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3181,3209) yields a new equation:
% 37.75/10.58 | (3210) all_0_23_23 = all_0_40_40
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3208,3209) yields a new equation:
% 37.75/10.58 | (376) all_0_23_23 = e3
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3184,3185) yields a new equation:
% 37.75/10.58 | (3212) all_0_29_29 = all_0_41_41
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3212 yields:
% 37.75/10.58 | (3213) all_0_29_29 = all_0_41_41
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3188,3190) yields a new equation:
% 37.75/10.58 | (3214) all_0_30_30 = all_0_70_70
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3214 yields:
% 37.75/10.58 | (3215) all_0_30_30 = all_0_70_70
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3192,3191) yields a new equation:
% 37.75/10.58 | (1783) all_0_31_31 = e0
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 1783 yields:
% 37.75/10.58 | (1784) all_0_31_31 = e0
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3210,376) yields a new equation:
% 37.75/10.58 | (3218) all_0_40_40 = e3
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3218 yields:
% 37.75/10.58 | (3219) all_0_40_40 = e3
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3199,3201) yields a new equation:
% 37.75/10.58 | (3220) all_0_32_32 = all_0_39_39
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3220 yields:
% 37.75/10.58 | (3221) all_0_32_32 = all_0_39_39
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3182,3183) yields a new equation:
% 37.75/10.58 | (3222) all_0_40_40 = all_0_68_68
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3222 yields:
% 37.75/10.58 | (3223) all_0_40_40 = all_0_68_68
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3186,3213) yields a new equation:
% 37.75/10.58 | (3224) all_0_41_41 = all_0_69_69
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3200,3213) yields a new equation:
% 37.75/10.58 | (3225) all_0_32_32 = all_0_41_41
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3225 yields:
% 37.75/10.58 | (3226) all_0_32_32 = all_0_41_41
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3215,3189) yields a new equation:
% 37.75/10.58 | (3227) all_0_42_42 = all_0_70_70
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (1767,3189) yields a new equation:
% 37.75/10.58 | (3228) all_0_42_42 = e1
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3193,1784) yields a new equation:
% 37.75/10.58 | (3229) all_0_43_43 = e0
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3229 yields:
% 37.75/10.58 | (3230) all_0_43_43 = e0
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3198,3221) yields a new equation:
% 37.75/10.58 | (2379) all_0_39_39 = e2
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3226,3221) yields a new equation:
% 37.75/10.58 | (3232) all_0_39_39 = all_0_41_41
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (2379,3232) yields a new equation:
% 37.75/10.58 | (3233) all_0_41_41 = e2
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3219,3223) yields a new equation:
% 37.75/10.58 | (373) all_0_68_68 = e3
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3224,3233) yields a new equation:
% 37.75/10.58 | (3235) all_0_69_69 = e2
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3235 yields:
% 37.75/10.58 | (374) all_0_69_69 = e2
% 37.75/10.58 |
% 37.75/10.58 | Combining equations (3227,3228) yields a new equation:
% 37.75/10.58 | (3237) all_0_70_70 = e1
% 37.75/10.58 |
% 37.75/10.58 | Simplifying 3237 yields:
% 37.75/10.58 | (375) all_0_70_70 = e1
% 37.75/10.58 |
% 37.82/10.58 | Combining equations (3203,3204) yields a new equation:
% 37.82/10.58 | (3239) all_0_61_61 = all_0_64_64
% 37.82/10.58 |
% 37.82/10.58 | Simplifying 3239 yields:
% 37.82/10.58 | (3240) all_0_61_61 = all_0_64_64
% 37.82/10.58 |
% 37.82/10.58 | Combining equations (3205,3240) yields a new equation:
% 37.82/10.58 | (3241) all_0_64_64 = all_0_71_71
% 37.82/10.58 |
% 37.82/10.58 | Combining equations (1360,3240) yields a new equation:
% 37.82/10.58 | (3242) all_0_64_64 = e0
% 37.82/10.58 |
% 37.82/10.58 | Combining equations (3241,3242) yields a new equation:
% 37.82/10.58 | (2597) all_0_71_71 = e0
% 37.82/10.58 |
% 37.82/10.58 | Simplifying 2597 yields:
% 37.82/10.58 | (377) all_0_71_71 = e0
% 37.82/10.58 |
% 37.82/10.58 | Combining equations (3242,3240) yields a new equation:
% 37.82/10.58 | (1360) all_0_61_61 = e0
% 37.82/10.58 |
% 37.82/10.59 | Combining equations (3242,3204) yields a new equation:
% 37.82/10.59 | (3246) all_0_58_58 = e0
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (373,3223) yields a new equation:
% 37.82/10.59 | (3219) all_0_40_40 = e3
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (3233,3232) yields a new equation:
% 37.82/10.59 | (2379) all_0_39_39 = e2
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (3228,3189) yields a new equation:
% 37.82/10.59 | (1767) all_0_30_30 = e1
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (3233,3213) yields a new equation:
% 37.82/10.59 | (1795) all_0_29_29 = e2
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (2379,3201) yields a new equation:
% 37.82/10.59 | (3251) all_0_26_26 = e2
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (375,3190) yields a new equation:
% 37.82/10.59 | (3252) all_0_18_18 = e1
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (376,3209) yields a new equation:
% 37.82/10.59 | (3208) all_0_16_16 = e3
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (3208,3196) yields a new equation:
% 37.82/10.59 | (3254) all_0_10_10 = e3
% 37.82/10.59 |
% 37.82/10.59 | From (1795) and (287) follows:
% 37.82/10.59 | (1799) op(e2, e2) = all_0_3_3
% 37.82/10.59 |
% 37.82/10.59 | From (377) and (37) follows:
% 37.82/10.59 | (378) op(e0, e0) = all_0_0_0
% 37.82/10.59 |
% 37.82/10.59 | From (3254) and (35) follows:
% 37.82/10.59 | (3257) op(all_0_72_72, e1) = e3
% 37.82/10.59 |
% 37.82/10.59 | From (3251) and (192) follows:
% 37.82/10.59 | (3258) op(all_0_76_76, e1) = e2
% 37.82/10.59 |
% 37.82/10.59 | From (2379) and (269) follows:
% 37.82/10.59 | (3259) op(all_0_79_79, e0) = e2
% 37.82/10.59 |
% 37.82/10.59 | From (3246) and (286) follows:
% 37.82/10.59 | (3260) op(all_0_84_84, e1) = e0
% 37.82/10.59 |
% 37.82/10.59 | From (1360) and (186) follows:
% 37.82/10.59 | (3261) op(all_0_85_85, e2) = e0
% 37.82/10.59 |
% 37.82/10.59 | From (3242) and (253) follows:
% 37.82/10.59 | (3262) op(all_0_86_86, e3) = e0
% 37.82/10.59 |
% 37.82/10.59 | From (373) and (366) follows:
% 37.82/10.59 | (256) op(unit, e3) = e3
% 37.82/10.59 |
% 37.82/10.59 | From (3252) and (9) follows:
% 37.82/10.59 | (3264) op(e3, all_0_82_82) = e1
% 37.82/10.59 |
% 37.82/10.59 | From (1767) and (264) follows:
% 37.82/10.59 | (3265) op(e2, all_0_78_78) = e1
% 37.82/10.59 |
% 37.82/10.59 | From (3219) and (82) follows:
% 37.82/10.59 | (3266) op(e1, all_0_72_72) = e3
% 37.82/10.59 |
% 37.82/10.59 | From (3230) and (91) follows:
% 37.82/10.59 | (3267) op(e1, all_0_75_75) = e0
% 37.82/10.59 |
% 37.82/10.59 | From (374) and (190) follows:
% 37.82/10.59 | (384) op(e0, all_0_85_85) = e2
% 37.82/10.59 |
% 37.82/10.59 | From (375) and (138) follows:
% 37.82/10.59 | (385) op(e0, all_0_86_86) = e1
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e2, e2, all_0_3_3, unit and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = unit, yields:
% 37.82/10.59 | (1812) all_0_3_3 = unit
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e0, all_0_0_0, unit and discharging atoms op(e0, e0) = all_0_0_0, op(e0, e0) = unit, yields:
% 37.82/10.59 | (387) all_0_0_0 = unit
% 37.82/10.59 |
% 37.82/10.59 | From (1812) and (1799) follows:
% 37.82/10.59 | (396) op(e2, e2) = unit
% 37.82/10.59 |
% 37.82/10.59 | From (387) and (378) follows:
% 37.82/10.59 | (362) op(e0, e0) = unit
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (275), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (574) ~ (all_0_2_2 = e0)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (143), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (1815) ~ (all_0_2_2 = e2)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (133), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (405) ~ (all_0_72_72 = e3)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (147), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (419) ~ (all_0_72_72 = e2)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (24), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (407) all_0_72_72 = e3
% 37.82/10.59 |
% 37.82/10.59 | Equations (407) can reduce 405 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (405) ~ (all_0_72_72 = e3)
% 37.82/10.59 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (230), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (403) ~ (all_0_72_72 = e1)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (412), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (413) all_0_72_72 = e2
% 37.82/10.59 |
% 37.82/10.59 | Equations (413) can reduce 419 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (419) ~ (all_0_72_72 = e2)
% 37.82/10.59 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (433), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (434) all_0_72_72 = e1
% 37.82/10.59 |
% 37.82/10.59 | Equations (434) can reduce 403 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (403) ~ (all_0_72_72 = e1)
% 37.82/10.59 | (439) all_0_72_72 = e0
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (4) follows:
% 37.82/10.59 | (591) op(e0, e3) = all_0_8_8
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (3257) follows:
% 37.82/10.59 | (1094) op(e0, e1) = e3
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (128) follows:
% 37.82/10.59 | (593) op(e0, e0) = all_0_11_11
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (2) follows:
% 37.82/10.59 | (594) op(e3, e0) = all_0_8_8
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (3266) follows:
% 37.82/10.59 | (2202) op(e1, e0) = e3
% 37.82/10.59 |
% 37.82/10.59 | From (439) and (196) follows:
% 37.82/10.59 | (596) op(e0, e0) = all_0_56_56
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 37.82/10.59 | (597) all_0_8_8 = all_0_75_75
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 37.82/10.59 | (1110) all_0_83_83 = e3
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 37.82/10.59 | (599) all_0_8_8 = all_0_84_84
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 37.82/10.59 | (1114) all_0_86_86 = e3
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 37.82/10.59 | (601) all_0_11_11 = unit
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 37.82/10.59 | (602) all_0_11_11 = all_0_56_56
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (597,599) yields a new equation:
% 37.82/10.59 | (603) all_0_75_75 = all_0_84_84
% 37.82/10.59 |
% 37.82/10.59 | Simplifying 603 yields:
% 37.82/10.59 | (604) all_0_75_75 = all_0_84_84
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (601,602) yields a new equation:
% 37.82/10.59 | (605) all_0_56_56 = unit
% 37.82/10.59 |
% 37.82/10.59 | Equations (604) can reduce 519 to:
% 37.82/10.59 | (533) ~ (all_0_84_84 = unit)
% 37.82/10.59 |
% 37.82/10.59 | Equations (1114) can reduce 365 to:
% 37.82/10.59 | (607) ~ (unit = e3)
% 37.82/10.59 |
% 37.82/10.59 | Simplifying 607 yields:
% 37.82/10.59 | (406) ~ (unit = e3)
% 37.82/10.59 |
% 37.82/10.59 | From (599) and (89) follows:
% 37.82/10.59 | (609) op(all_0_84_84, e3) = all_0_2_2
% 37.82/10.59 |
% 37.82/10.59 | From (605) and (259) follows:
% 37.82/10.59 | (610) op(all_0_84_84, e3) = unit
% 37.82/10.59 |
% 37.82/10.59 | From (1110) and (16) follows:
% 37.82/10.59 | (3311) op(e0, e3) = all_0_67_67
% 37.82/10.59 |
% 37.82/10.59 | From (1114) and (385) follows:
% 37.82/10.59 | (1935) op(e0, e3) = e1
% 37.82/10.59 |
% 37.82/10.59 | From (599) and (591) follows:
% 37.82/10.59 | (194) op(e0, e3) = all_0_84_84
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with all_0_84_84, e3, unit, all_0_2_2 and discharging atoms op(all_0_84_84, e3) = all_0_2_2, op(all_0_84_84, e3) = unit, yields:
% 37.82/10.59 | (614) all_0_2_2 = unit
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e3, all_0_67_67, all_0_84_84 and discharging atoms op(e0, e3) = all_0_67_67, op(e0, e3) = all_0_84_84, yields:
% 37.82/10.59 | (3315) all_0_67_67 = all_0_84_84
% 37.82/10.59 |
% 37.82/10.59 | Instantiating formula (268) with e0, e3, e1, all_0_67_67 and discharging atoms op(e0, e3) = all_0_67_67, op(e0, e3) = e1, yields:
% 37.82/10.59 | (1212) all_0_67_67 = e1
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (1212,3315) yields a new equation:
% 37.82/10.59 | (1085) all_0_84_84 = e1
% 37.82/10.59 |
% 37.82/10.59 | Equations (614) can reduce 1815 to:
% 37.82/10.59 | (622) ~ (unit = e2)
% 37.82/10.59 |
% 37.82/10.59 | Equations (614) can reduce 574 to:
% 37.82/10.59 | (402) ~ (unit = e0)
% 37.82/10.59 |
% 37.82/10.59 | Equations (1085) can reduce 533 to:
% 37.82/10.59 | (928) ~ (unit = e1)
% 37.82/10.59 |
% 37.82/10.59 | Simplifying 928 yields:
% 37.82/10.59 | (404) ~ (unit = e1)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (245), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (1015) all_0_80_80 = e3
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (3134,1015) yields a new equation:
% 37.82/10.59 | (408) unit = e3
% 37.82/10.59 |
% 37.82/10.59 | Simplifying 408 yields:
% 37.82/10.59 | (409) unit = e3
% 37.82/10.59 |
% 37.82/10.59 | Equations (409) can reduce 406 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (1250) ~ (all_0_80_80 = e3)
% 37.82/10.59 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.82/10.59 |
% 37.82/10.59 | Equations (3134) can reduce 1250 to:
% 37.82/10.59 | (406) ~ (unit = e3)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (34), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (447) all_0_87_87 = e3
% 37.82/10.59 |
% 37.82/10.59 | Combining equations (447,363) yields a new equation:
% 37.82/10.59 | (409) unit = e3
% 37.82/10.59 |
% 37.82/10.59 | Equations (409) can reduce 406 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (457) ~ (all_0_87_87 = e3)
% 37.82/10.59 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.82/10.59 |
% 37.82/10.59 | Equations (363) can reduce 457 to:
% 37.82/10.59 | (406) ~ (unit = e3)
% 37.82/10.59 |
% 37.82/10.59 +-Applying beta-rule and splitting (119), into two cases.
% 37.82/10.59 |-Branch one:
% 37.82/10.59 | (409) unit = e3
% 37.82/10.59 |
% 37.82/10.59 | Equations (409) can reduce 406 to:
% 37.82/10.59 | (304) $false
% 37.82/10.59 |
% 37.82/10.59 |-The branch is then unsatisfiable
% 37.82/10.59 |-Branch two:
% 37.82/10.59 | (406) ~ (unit = e3)
% 37.82/10.60 | (871) unit = e2 | unit = e1 | unit = e0
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (627), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (416) all_0_87_87 = e2
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (416,363) yields a new equation:
% 37.82/10.60 | (415) unit = e2
% 37.82/10.60 |
% 37.82/10.60 | Equations (415) can reduce 622 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (430) ~ (all_0_87_87 = e2)
% 37.82/10.60 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (363) can reduce 430 to:
% 37.82/10.60 | (622) ~ (unit = e2)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (871), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (415) unit = e2
% 37.82/10.60 |
% 37.82/10.60 | Equations (415) can reduce 622 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (622) ~ (unit = e2)
% 37.82/10.60 | (1271) unit = e1 | unit = e0
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (1271), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (436) unit = e1
% 37.82/10.60 |
% 37.82/10.60 | Equations (436) can reduce 404 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (404) ~ (unit = e1)
% 37.82/10.60 | (441) unit = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (441) can reduce 402 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (434) all_0_72_72 = e1
% 37.82/10.60 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Equations (434) can reduce 249 to:
% 37.82/10.60 | (3356) ~ (all_0_76_76 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 3356 yields:
% 37.82/10.60 | (797) ~ (all_0_76_76 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Equations (434) can reduce 132 to:
% 37.82/10.60 | (3358) ~ (all_0_84_84 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 3358 yields:
% 37.82/10.60 | (1675) ~ (all_0_84_84 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Equations (434) can reduce 515 to:
% 37.82/10.60 | (928) ~ (unit = e1)
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 928 yields:
% 37.82/10.60 | (404) ~ (unit = e1)
% 37.82/10.60 |
% 37.82/10.60 | From (434) and (4) follows:
% 37.82/10.60 | (816) op(e1, e3) = all_0_8_8
% 37.82/10.60 |
% 37.82/10.60 | From (434) and (149) follows:
% 37.82/10.60 | (3363) op(e2, e1) = all_0_24_24
% 37.82/10.60 |
% 37.82/10.60 | From (434) and (3266) follows:
% 37.82/10.60 | (3364) op(e1, e1) = e3
% 37.82/10.60 |
% 37.82/10.60 | From (434) and (196) follows:
% 37.82/10.60 | (3365) op(e0, e1) = all_0_56_56
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e2, e1, all_0_24_24, all_0_78_78 and discharging atoms op(e2, e1) = all_0_24_24, op(e2, e1) = all_0_78_78, yields:
% 37.82/10.60 | (3366) all_0_24_24 = all_0_78_78
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 37.82/10.60 | (652) all_0_8_8 = unit
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 37.82/10.60 | (448) all_0_82_82 = e3
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e0, e1, all_0_56_56, all_0_86_86 and discharging atoms op(e0, e1) = all_0_56_56, op(e0, e1) = all_0_86_86, yields:
% 37.82/10.60 | (3369) all_0_56_56 = all_0_86_86
% 37.82/10.60 |
% 37.82/10.60 | Equations (448) can reduce 6 to:
% 37.82/10.60 | (657) ~ (all_0_78_78 = e3)
% 37.82/10.60 |
% 37.82/10.60 | Equations (448) can reduce 284 to:
% 37.82/10.60 | (1060) ~ (all_0_86_86 = e3)
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 1060 yields:
% 37.82/10.60 | (1061) ~ (all_0_86_86 = e3)
% 37.82/10.60 |
% 37.82/10.60 | Equations (448) can reduce 3146 to:
% 37.82/10.60 | (607) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 607 yields:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 | From (3366) and (270) follows:
% 37.82/10.60 | (3375) op(all_0_76_76, e3) = all_0_78_78
% 37.82/10.60 |
% 37.82/10.60 | From (448) and (263) follows:
% 37.82/10.60 | (3376) op(e3, e2) = all_0_49_49
% 37.82/10.60 |
% 37.82/10.60 | From (448) and (216) follows:
% 37.82/10.60 | (3377) op(e3, e1) = all_0_50_50
% 37.82/10.60 |
% 37.82/10.60 | From (3369) and (259) follows:
% 37.82/10.60 | (3378) op(all_0_84_84, e3) = all_0_86_86
% 37.82/10.60 |
% 37.82/10.60 | From (448) and (3264) follows:
% 37.82/10.60 | (3379) op(e3, e3) = e1
% 37.82/10.60 |
% 37.82/10.60 | From (448) and (154) follows:
% 37.82/10.60 | (3380) op(e1, e3) = all_0_50_50
% 37.82/10.60 |
% 37.82/10.60 | From (652) and (816) follows:
% 37.82/10.60 | (2868) op(e1, e3) = unit
% 37.82/10.60 |
% 37.82/10.60 | From (448) and (7) follows:
% 37.82/10.60 | (3382) op(e0, e3) = all_0_66_66
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e3, e2, all_0_49_49, all_0_73_73 and discharging atoms op(e3, e2) = all_0_49_49, op(e3, e2) = all_0_73_73, yields:
% 37.82/10.60 | (3383) all_0_49_49 = all_0_73_73
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e1, e3, all_0_50_50, unit and discharging atoms op(e1, e3) = all_0_50_50, op(e1, e3) = unit, yields:
% 37.82/10.60 | (3384) all_0_50_50 = unit
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e0, e3, all_0_66_66, all_0_84_84 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = all_0_84_84, yields:
% 37.82/10.60 | (3385) all_0_66_66 = all_0_84_84
% 37.82/10.60 |
% 37.82/10.60 | From (3383) and (3376) follows:
% 37.82/10.60 | (262) op(e3, e2) = all_0_73_73
% 37.82/10.60 |
% 37.82/10.60 | From (3384) and (3377) follows:
% 37.82/10.60 | (1093) op(e3, e1) = unit
% 37.82/10.60 |
% 37.82/10.60 | From (3385) and (3382) follows:
% 37.82/10.60 | (194) op(e0, e3) = all_0_84_84
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (245), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (1015) all_0_80_80 = e3
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (3134,1015) yields a new equation:
% 37.82/10.60 | (408) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 408 yields:
% 37.82/10.60 | (409) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (409) can reduce 406 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (1250) ~ (all_0_80_80 = e3)
% 37.82/10.60 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (3134) can reduce 1250 to:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (11), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (691) all_0_74_74 = e3
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (691,3132) yields a new equation:
% 37.82/10.60 | (409) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (409) can reduce 406 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (680) ~ (all_0_74_74 = e3)
% 37.82/10.60 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (3132) can reduce 680 to:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (34), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (447) all_0_87_87 = e3
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (447,363) yields a new equation:
% 37.82/10.60 | (409) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (409) can reduce 406 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (457) ~ (all_0_87_87 = e3)
% 37.82/10.60 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (363) can reduce 457 to:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (94), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (449) all_0_77_77 = e3
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (400,449) yields a new equation:
% 37.82/10.60 | (408) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Simplifying 408 yields:
% 37.82/10.60 | (409) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (409) can reduce 406 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (450) ~ (all_0_77_77 = e3)
% 37.82/10.60 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.82/10.60 |
% 37.82/10.60 | Equations (400) can reduce 450 to:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (119), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (409) unit = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (409) can reduce 406 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (406) ~ (unit = e3)
% 37.82/10.60 | (871) unit = e2 | unit = e1 | unit = e0
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (50), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (695) all_0_78_78 = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (695) can reduce 657 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (657) ~ (all_0_78_78 = e3)
% 37.82/10.60 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (240), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (1073) all_0_84_84 = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (1073) can reduce 202 to:
% 37.82/10.60 | (677) ~ (all_0_76_76 = e3)
% 37.82/10.60 |
% 37.82/10.60 | From (1073) and (3378) follows:
% 37.82/10.60 | (1934) op(e3, e3) = all_0_86_86
% 37.82/10.60 |
% 37.82/10.60 | From (1073) and (3260) follows:
% 37.82/10.60 | (3426) op(e3, e1) = e0
% 37.82/10.60 |
% 37.82/10.60 | From (1073) and (95) follows:
% 37.82/10.60 | (681) op(e3, e3) = all_0_20_20
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e3, e3, all_0_20_20, e1 and discharging atoms op(e3, e3) = all_0_20_20, op(e3, e3) = e1, yields:
% 37.82/10.60 | (3428) all_0_20_20 = e1
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e3, e3, all_0_86_86, all_0_20_20 and discharging atoms op(e3, e3) = all_0_20_20, op(e3, e3) = all_0_86_86, yields:
% 37.82/10.60 | (3429) all_0_20_20 = all_0_86_86
% 37.82/10.60 |
% 37.82/10.60 | Instantiating formula (268) with e3, e1, e0, unit and discharging atoms op(e3, e1) = unit, op(e3, e1) = e0, yields:
% 37.82/10.60 | (441) unit = e0
% 37.82/10.60 |
% 37.82/10.60 | Combining equations (3428,3429) yields a new equation:
% 37.82/10.60 | (1143) all_0_86_86 = e1
% 37.82/10.60 |
% 37.82/10.60 | Equations (441) can reduce 1729 to:
% 37.82/10.60 | (1836) ~ (all_0_76_76 = e0)
% 37.82/10.60 |
% 37.82/10.60 | Equations (1143) can reduce 266 to:
% 37.82/10.60 | (709) ~ (all_0_78_78 = e1)
% 37.82/10.60 |
% 37.82/10.60 | Equations (441) can reduce 527 to:
% 37.82/10.60 | (690) ~ (all_0_78_78 = e0)
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (19), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (673) all_0_76_76 = e3
% 37.82/10.60 |
% 37.82/10.60 | Equations (673) can reduce 677 to:
% 37.82/10.60 | (304) $false
% 37.82/10.60 |
% 37.82/10.60 |-The branch is then unsatisfiable
% 37.82/10.60 |-Branch two:
% 37.82/10.60 | (677) ~ (all_0_76_76 = e3)
% 37.82/10.60 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.82/10.60 |
% 37.82/10.60 +-Applying beta-rule and splitting (678), into two cases.
% 37.82/10.60 |-Branch one:
% 37.82/10.60 | (761) all_0_76_76 = e2
% 37.82/10.60 |
% 37.82/10.60 | Equations (761) can reduce 204 to:
% 37.82/10.60 | (3440) ~ (all_0_78_78 = e2)
% 37.82/10.60 |
% 37.82/10.61 | Simplifying 3440 yields:
% 37.82/10.61 | (689) ~ (all_0_78_78 = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (698), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (703) all_0_78_78 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (703) can reduce 689 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (689) ~ (all_0_78_78 = e2)
% 37.82/10.61 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (706), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (710) all_0_78_78 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (710) can reduce 709 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (709) ~ (all_0_78_78 = e1)
% 37.82/10.61 | (713) all_0_78_78 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (713) can reduce 690 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (765) ~ (all_0_76_76 = e2)
% 37.82/10.61 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (766), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (781) all_0_76_76 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (781) can reduce 797 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (797) ~ (all_0_76_76 = e1)
% 37.82/10.61 | (798) all_0_76_76 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (798) can reduce 1836 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1059) ~ (all_0_84_84 = e3)
% 37.82/10.61 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (123), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (1114) all_0_86_86 = e3
% 37.82/10.61 |
% 37.82/10.61 | Equations (1114) can reduce 1061 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1061) ~ (all_0_86_86 = e3)
% 37.82/10.61 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (19), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (673) all_0_76_76 = e3
% 37.82/10.61 |
% 37.82/10.61 | From (673) and (3375) follows:
% 37.82/10.61 | (722) op(e3, e3) = all_0_78_78
% 37.82/10.61 |
% 37.82/10.61 | From (673) and (3258) follows:
% 37.82/10.61 | (1107) op(e3, e1) = e2
% 37.82/10.61 |
% 37.82/10.61 | From (673) and (273) follows:
% 37.82/10.61 | (1893) op(e3, e3) = all_0_12_12
% 37.82/10.61 |
% 37.82/10.61 | Instantiating formula (268) with e3, e3, all_0_12_12, e1 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = e1, yields:
% 37.82/10.61 | (3468) all_0_12_12 = e1
% 37.82/10.61 |
% 37.82/10.61 | Instantiating formula (268) with e3, e3, all_0_78_78, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_78_78, yields:
% 37.82/10.61 | (3469) all_0_12_12 = all_0_78_78
% 37.82/10.61 |
% 37.82/10.61 | Instantiating formula (268) with e3, e1, e2, unit and discharging atoms op(e3, e1) = unit, op(e3, e1) = e2, yields:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (3468,3469) yields a new equation:
% 37.82/10.61 | (710) all_0_78_78 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (710) can reduce 266 to:
% 37.82/10.61 | (1089) ~ (all_0_86_86 = e1)
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 1089 yields:
% 37.82/10.61 | (1090) ~ (all_0_86_86 = e1)
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 533 to:
% 37.82/10.61 | (1050) ~ (all_0_84_84 = e2)
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 365 to:
% 37.82/10.61 | (1106) ~ (all_0_86_86 = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1117), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (1129) all_0_86_86 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (1129) can reduce 1106 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1106) ~ (all_0_86_86 = e2)
% 37.82/10.61 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1132), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (1143) all_0_86_86 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (1143) can reduce 1090 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1090) ~ (all_0_86_86 = e1)
% 37.82/10.61 | (1146) all_0_86_86 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (1146) can reduce 51 to:
% 37.82/10.61 | (1055) ~ (all_0_84_84 = e0)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1661), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (618) all_0_84_84 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (618) can reduce 1050 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1050) ~ (all_0_84_84 = e2)
% 37.82/10.61 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1673), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (1085) all_0_84_84 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (1085) can reduce 1675 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1675) ~ (all_0_84_84 = e1)
% 37.82/10.61 | (1280) all_0_84_84 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (1280) can reduce 1055 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (677) ~ (all_0_76_76 = e3)
% 37.82/10.61 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (23), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (600) all_0_85_85 = e3
% 37.82/10.61 |
% 37.82/10.61 | From (600) and (3261) follows:
% 37.82/10.61 | (3497) op(e3, e2) = e0
% 37.82/10.61 |
% 37.82/10.61 | From (600) and (384) follows:
% 37.82/10.61 | (612) op(e0, e3) = e2
% 37.82/10.61 |
% 37.82/10.61 | Instantiating formula (268) with e3, e2, e0, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e0, yields:
% 37.82/10.61 | (895) all_0_73_73 = e0
% 37.82/10.61 |
% 37.82/10.61 | Instantiating formula (268) with e0, e3, e2, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e2, yields:
% 37.82/10.61 | (618) all_0_84_84 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (895) can reduce 1725 to:
% 37.82/10.61 | (1031) ~ (unit = e0)
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 1031 yields:
% 37.82/10.61 | (402) ~ (unit = e0)
% 37.82/10.61 |
% 37.82/10.61 | Equations (618) can reduce 533 to:
% 37.82/10.61 | (621) ~ (unit = e2)
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 621 yields:
% 37.82/10.61 | (622) ~ (unit = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (871), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 622 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (622) ~ (unit = e2)
% 37.82/10.61 | (1271) unit = e1 | unit = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (694), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (699) all_0_74_74 = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (3132,699) yields a new equation:
% 37.82/10.61 | (414) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 414 yields:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 622 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (643) ~ (all_0_74_74 = e2)
% 37.82/10.61 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (702), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (707) all_0_74_74 = e1
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (3132,707) yields a new equation:
% 37.82/10.61 | (435) unit = e1
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 435 yields:
% 37.82/10.61 | (436) unit = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (436) can reduce 404 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (715) ~ (all_0_74_74 = e1)
% 37.82/10.61 | (716) all_0_74_74 = e0
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (3132,716) yields a new equation:
% 37.82/10.61 | (440) unit = e0
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 440 yields:
% 37.82/10.61 | (441) unit = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (441) can reduce 402 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1436) ~ (all_0_85_85 = e3)
% 37.82/10.61 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1251), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (843) all_0_80_80 = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (3134,843) yields a new equation:
% 37.82/10.61 | (414) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 414 yields:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 1729 to:
% 37.82/10.61 | (765) ~ (all_0_76_76 = e2)
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 533 to:
% 37.82/10.61 | (1050) ~ (all_0_84_84 = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (678), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (761) all_0_76_76 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (761) can reduce 765 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (765) ~ (all_0_76_76 = e2)
% 37.82/10.61 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (766), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (781) all_0_76_76 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (781) can reduce 797 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (797) ~ (all_0_76_76 = e1)
% 37.82/10.61 | (798) all_0_76_76 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (798) can reduce 202 to:
% 37.82/10.61 | (3539) ~ (all_0_84_84 = e0)
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 3539 yields:
% 37.82/10.61 | (1055) ~ (all_0_84_84 = e0)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1661), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (618) all_0_84_84 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (618) can reduce 1050 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1050) ~ (all_0_84_84 = e2)
% 37.82/10.61 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1673), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (1085) all_0_84_84 = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (1085) can reduce 1675 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1675) ~ (all_0_84_84 = e1)
% 37.82/10.61 | (1280) all_0_84_84 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (1280) can reduce 1055 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (1103) ~ (all_0_80_80 = e2)
% 37.82/10.61 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (3134) can reduce 1103 to:
% 37.82/10.61 | (622) ~ (unit = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (694), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (699) all_0_74_74 = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (699,3132) yields a new equation:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 622 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (643) ~ (all_0_74_74 = e2)
% 37.82/10.61 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (3132) can reduce 643 to:
% 37.82/10.61 | (622) ~ (unit = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (627), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (416) all_0_87_87 = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (416,363) yields a new equation:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 622 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (430) ~ (all_0_87_87 = e2)
% 37.82/10.61 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (363) can reduce 430 to:
% 37.82/10.61 | (622) ~ (unit = e2)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1169), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (418) all_0_77_77 = e2
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (400,418) yields a new equation:
% 37.82/10.61 | (414) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 414 yields:
% 37.82/10.61 | (415) unit = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (415) can reduce 622 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (423) ~ (all_0_77_77 = e2)
% 37.82/10.61 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1176), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (465) all_0_77_77 = e1
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (400,465) yields a new equation:
% 37.82/10.61 | (435) unit = e1
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 435 yields:
% 37.82/10.61 | (436) unit = e1
% 37.82/10.61 |
% 37.82/10.61 | Equations (436) can reduce 404 to:
% 37.82/10.61 | (304) $false
% 37.82/10.61 |
% 37.82/10.61 |-The branch is then unsatisfiable
% 37.82/10.61 |-Branch two:
% 37.82/10.61 | (466) ~ (all_0_77_77 = e1)
% 37.82/10.61 | (481) all_0_77_77 = e0
% 37.82/10.61 |
% 37.82/10.61 | Combining equations (400,481) yields a new equation:
% 37.82/10.61 | (440) unit = e0
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 440 yields:
% 37.82/10.61 | (441) unit = e0
% 37.82/10.61 |
% 37.82/10.61 | Equations (441) can reduce 533 to:
% 37.82/10.61 | (1055) ~ (all_0_84_84 = e0)
% 37.82/10.61 |
% 37.82/10.61 | Equations (441) can reduce 523 to:
% 37.82/10.61 | (1941) ~ (all_0_85_85 = e0)
% 37.82/10.61 |
% 37.82/10.61 | Equations (441) can reduce 365 to:
% 37.82/10.61 | (1472) ~ (all_0_86_86 = e0)
% 37.82/10.61 |
% 37.82/10.61 +-Applying beta-rule and splitting (1661), into two cases.
% 37.82/10.61 |-Branch one:
% 37.82/10.61 | (618) all_0_84_84 = e2
% 37.82/10.61 |
% 37.82/10.61 | Equations (618) can reduce 81 to:
% 37.82/10.61 | (3583) ~ (all_0_85_85 = e2)
% 37.82/10.61 |
% 37.82/10.61 | Simplifying 3583 yields:
% 37.82/10.61 | (1498) ~ (all_0_85_85 = e2)
% 37.82/10.61 |
% 37.82/10.61 | Equations (618) can reduce 51 to:
% 37.82/10.61 | (3585) ~ (all_0_86_86 = e2)
% 37.82/10.61 |
% 37.82/10.62 | Simplifying 3585 yields:
% 37.82/10.62 | (1106) ~ (all_0_86_86 = e2)
% 37.82/10.62 |
% 37.82/10.62 +-Applying beta-rule and splitting (1117), into two cases.
% 37.82/10.62 |-Branch one:
% 37.82/10.62 | (1129) all_0_86_86 = e2
% 37.82/10.62 |
% 37.82/10.62 | Equations (1129) can reduce 1106 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1106) ~ (all_0_86_86 = e2)
% 37.82/10.62 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.82/10.62 |
% 37.82/10.62 +-Applying beta-rule and splitting (1546), into two cases.
% 37.82/10.62 |-Branch one:
% 37.82/10.62 | (1558) all_0_85_85 = e2
% 37.82/10.62 |
% 37.82/10.62 | Equations (1558) can reduce 1498 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1498) ~ (all_0_85_85 = e2)
% 37.82/10.62 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.82/10.62 |
% 37.82/10.62 +-Applying beta-rule and splitting (1132), into two cases.
% 37.82/10.62 |-Branch one:
% 37.82/10.62 | (1143) all_0_86_86 = e1
% 37.82/10.62 |
% 37.82/10.62 | Equations (1143) can reduce 130 to:
% 37.82/10.62 | (1540) ~ (all_0_85_85 = e1)
% 37.82/10.62 |
% 37.82/10.62 +-Applying beta-rule and splitting (1561), into two cases.
% 37.82/10.62 |-Branch one:
% 37.82/10.62 | (1566) all_0_85_85 = e1
% 37.82/10.62 |
% 37.82/10.62 | Equations (1566) can reduce 1540 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1540) ~ (all_0_85_85 = e1)
% 37.82/10.62 | (1569) all_0_85_85 = e0
% 37.82/10.62 |
% 37.82/10.62 | Equations (1569) can reduce 1941 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1090) ~ (all_0_86_86 = e1)
% 37.82/10.62 | (1146) all_0_86_86 = e0
% 37.82/10.62 |
% 37.82/10.62 | Equations (1146) can reduce 1472 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1050) ~ (all_0_84_84 = e2)
% 37.82/10.62 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.82/10.62 |
% 37.82/10.62 +-Applying beta-rule and splitting (1673), into two cases.
% 37.82/10.62 |-Branch one:
% 37.82/10.62 | (1085) all_0_84_84 = e1
% 37.82/10.62 |
% 37.82/10.62 | Equations (1085) can reduce 1675 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (1675) ~ (all_0_84_84 = e1)
% 37.82/10.62 | (1280) all_0_84_84 = e0
% 37.82/10.62 |
% 37.82/10.62 | Equations (1280) can reduce 1055 to:
% 37.82/10.62 | (304) $false
% 37.82/10.62 |
% 37.82/10.62 |-The branch is then unsatisfiable
% 37.82/10.62 |-Branch two:
% 37.82/10.62 | (413) all_0_72_72 = e2
% 37.82/10.62 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (4) follows:
% 37.82/10.62 | (648) op(e2, e3) = all_0_8_8
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (3) follows:
% 37.82/10.62 | (2142) op(e2, e2) = all_0_9_9
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (3257) follows:
% 37.82/10.62 | (820) op(e2, e1) = e3
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (2) follows:
% 37.82/10.62 | (2144) op(e3, e2) = all_0_8_8
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (149) follows:
% 37.82/10.62 | (2145) op(e2, e2) = all_0_24_24
% 37.82/10.62 |
% 37.82/10.62 | From (413) and (3266) follows:
% 37.82/10.62 | (817) op(e1, e2) = e3
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.82/10.62 | (2147) all_0_8_8 = all_0_73_73
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.82/10.62 | (2148) all_0_8_8 = all_0_76_76
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.82/10.62 | (2149) all_0_9_9 = unit
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e2, e2, all_0_24_24, all_0_9_9 and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = all_0_24_24, yields:
% 37.82/10.62 | (2150) all_0_9_9 = all_0_24_24
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e2, e1, e3, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e3, yields:
% 37.82/10.62 | (695) all_0_78_78 = e3
% 37.82/10.62 |
% 37.82/10.62 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 37.82/10.62 | (825) all_0_81_81 = e3
% 37.82/10.62 |
% 37.93/10.62 | Combining equations (2147,2148) yields a new equation:
% 37.93/10.62 | (2153) all_0_73_73 = all_0_76_76
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 2153 yields:
% 37.93/10.62 | (2154) all_0_73_73 = all_0_76_76
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (2150,2149) yields a new equation:
% 37.93/10.62 | (2155) all_0_24_24 = unit
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 2155 yields:
% 37.93/10.62 | (2156) all_0_24_24 = unit
% 37.93/10.62 |
% 37.93/10.62 | Equations (2154) can reduce 1725 to:
% 37.93/10.62 | (1729) ~ (all_0_76_76 = unit)
% 37.93/10.62 |
% 37.93/10.62 | Equations (825) can reduce 521 to:
% 37.93/10.62 | (607) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 607 yields:
% 37.93/10.62 | (406) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | From (2148) and (89) follows:
% 37.93/10.62 | (2160) op(all_0_76_76, e3) = all_0_2_2
% 37.93/10.62 |
% 37.93/10.62 | From (2156) and (270) follows:
% 37.93/10.62 | (2161) op(all_0_76_76, e3) = unit
% 37.93/10.62 |
% 37.93/10.62 | From (695) and (3265) follows:
% 37.93/10.62 | (723) op(e2, e3) = e1
% 37.93/10.62 |
% 37.93/10.62 | From (825) and (288) follows:
% 37.93/10.62 | (3636) op(e2, e3) = all_0_33_33
% 37.93/10.62 |
% 37.93/10.62 | From (2148) and (648) follows:
% 37.93/10.62 | (208) op(e2, e3) = all_0_76_76
% 37.93/10.62 |
% 37.93/10.62 | Instantiating formula (268) with all_0_76_76, e3, unit, all_0_2_2 and discharging atoms op(all_0_76_76, e3) = all_0_2_2, op(all_0_76_76, e3) = unit, yields:
% 37.93/10.62 | (614) all_0_2_2 = unit
% 37.93/10.62 |
% 37.93/10.62 | Instantiating formula (268) with e2, e3, all_0_33_33, all_0_76_76 and discharging atoms op(e2, e3) = all_0_33_33, op(e2, e3) = all_0_76_76, yields:
% 37.93/10.62 | (3639) all_0_33_33 = all_0_76_76
% 37.93/10.62 |
% 37.93/10.62 | Instantiating formula (268) with e2, e3, e1, all_0_33_33 and discharging atoms op(e2, e3) = all_0_33_33, op(e2, e3) = e1, yields:
% 37.93/10.62 | (3640) all_0_33_33 = e1
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (3639,3640) yields a new equation:
% 37.93/10.62 | (2861) all_0_76_76 = e1
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 2861 yields:
% 37.93/10.62 | (781) all_0_76_76 = e1
% 37.93/10.62 |
% 37.93/10.62 | Equations (614) can reduce 1815 to:
% 37.93/10.62 | (622) ~ (unit = e2)
% 37.93/10.62 |
% 37.93/10.62 | Equations (614) can reduce 574 to:
% 37.93/10.62 | (402) ~ (unit = e0)
% 37.93/10.62 |
% 37.93/10.62 | Equations (781) can reduce 1729 to:
% 37.93/10.62 | (928) ~ (unit = e1)
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 928 yields:
% 37.93/10.62 | (404) ~ (unit = e1)
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (245), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (1015) all_0_80_80 = e3
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (3134,1015) yields a new equation:
% 37.93/10.62 | (408) unit = e3
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 408 yields:
% 37.93/10.62 | (409) unit = e3
% 37.93/10.62 |
% 37.93/10.62 | Equations (409) can reduce 406 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (1250) ~ (all_0_80_80 = e3)
% 37.93/10.62 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (1251), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (843) all_0_80_80 = e2
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (3134,843) yields a new equation:
% 37.93/10.62 | (414) unit = e2
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 414 yields:
% 37.93/10.62 | (415) unit = e2
% 37.93/10.62 |
% 37.93/10.62 | Equations (415) can reduce 622 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (1103) ~ (all_0_80_80 = e2)
% 37.93/10.62 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (1264), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (1013) all_0_80_80 = e1
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (3134,1013) yields a new equation:
% 37.93/10.62 | (435) unit = e1
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 435 yields:
% 37.93/10.62 | (436) unit = e1
% 37.93/10.62 |
% 37.93/10.62 | Equations (436) can reduce 404 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (1087) ~ (all_0_80_80 = e1)
% 37.93/10.62 | (1268) all_0_80_80 = e0
% 37.93/10.62 |
% 37.93/10.62 | Combining equations (3134,1268) yields a new equation:
% 37.93/10.62 | (440) unit = e0
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 440 yields:
% 37.93/10.62 | (441) unit = e0
% 37.93/10.62 |
% 37.93/10.62 | Equations (441) can reduce 402 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (407) all_0_72_72 = e3
% 37.93/10.62 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 37.93/10.62 |
% 37.93/10.62 | Equations (407) can reduce 515 to:
% 37.93/10.62 | (607) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 607 yields:
% 37.93/10.62 | (406) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | From (407) and (3266) follows:
% 37.93/10.62 | (1009) op(e1, e3) = e3
% 37.93/10.62 |
% 37.93/10.62 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 37.93/10.62 | (409) unit = e3
% 37.93/10.62 |
% 37.93/10.62 | Equations (409) can reduce 406 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (2284) all_0_2_2 = e2
% 37.93/10.62 | (2290) ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e0)
% 37.93/10.62 |
% 37.93/10.62 | From (2284) and (89) follows:
% 37.93/10.62 | (2286) op(all_0_8_8, e3) = e2
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (93), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (1815) ~ (all_0_2_2 = e2)
% 37.93/10.62 |
% 37.93/10.62 | Equations (2284) can reduce 1815 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (2284) all_0_2_2 = e2
% 37.93/10.62 | (2285) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e1)
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (230), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (403) ~ (all_0_72_72 = e1)
% 37.93/10.62 |
% 37.93/10.62 +-Applying beta-rule and splitting (24), into two cases.
% 37.93/10.62 |-Branch one:
% 37.93/10.62 | (407) all_0_72_72 = e3
% 37.93/10.62 |
% 37.93/10.62 | Equations (407) can reduce 515 to:
% 37.93/10.62 | (607) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | Simplifying 607 yields:
% 37.93/10.62 | (406) ~ (unit = e3)
% 37.93/10.62 |
% 37.93/10.62 | From (407) and (3266) follows:
% 37.93/10.62 | (1009) op(e1, e3) = e3
% 37.93/10.62 |
% 37.93/10.62 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 37.93/10.62 | (409) unit = e3
% 37.93/10.62 |
% 37.93/10.62 | Equations (409) can reduce 406 to:
% 37.93/10.62 | (304) $false
% 37.93/10.62 |
% 37.93/10.62 |-The branch is then unsatisfiable
% 37.93/10.62 |-Branch two:
% 37.93/10.62 | (405) ~ (all_0_72_72 = e3)
% 37.93/10.63 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (147), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (419) ~ (all_0_72_72 = e2)
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (412), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (413) all_0_72_72 = e2
% 37.93/10.63 |
% 37.93/10.63 | Equations (413) can reduce 419 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (419) ~ (all_0_72_72 = e2)
% 37.93/10.63 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (433), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (434) all_0_72_72 = e1
% 37.93/10.63 |
% 37.93/10.63 | Equations (434) can reduce 403 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (403) ~ (all_0_72_72 = e1)
% 37.93/10.63 | (439) all_0_72_72 = e0
% 37.93/10.63 |
% 37.93/10.63 | Equations (439) can reduce 64 to:
% 37.93/10.63 | (1029) ~ (all_0_75_75 = e0)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 1029 yields:
% 37.93/10.63 | (1030) ~ (all_0_75_75 = e0)
% 37.93/10.63 |
% 37.93/10.63 | Equations (439) can reduce 515 to:
% 37.93/10.63 | (1031) ~ (unit = e0)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 1031 yields:
% 37.93/10.63 | (402) ~ (unit = e0)
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (4) follows:
% 37.93/10.63 | (591) op(e0, e3) = all_0_8_8
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (3257) follows:
% 37.93/10.63 | (1094) op(e0, e1) = e3
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (128) follows:
% 37.93/10.63 | (593) op(e0, e0) = all_0_11_11
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (2) follows:
% 37.93/10.63 | (594) op(e3, e0) = all_0_8_8
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (3266) follows:
% 37.93/10.63 | (2202) op(e1, e0) = e3
% 37.93/10.63 |
% 37.93/10.63 | From (439) and (196) follows:
% 37.93/10.63 | (596) op(e0, e0) = all_0_56_56
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (2290), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (1307) ~ (all_0_8_8 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 37.93/10.63 | (597) all_0_8_8 = all_0_75_75
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 37.93/10.63 | (1110) all_0_83_83 = e3
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 37.93/10.63 | (599) all_0_8_8 = all_0_84_84
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 37.93/10.63 | (1114) all_0_86_86 = e3
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 37.93/10.63 | (601) all_0_11_11 = unit
% 37.93/10.63 |
% 37.93/10.63 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 37.93/10.63 | (602) all_0_11_11 = all_0_56_56
% 37.93/10.63 |
% 37.93/10.63 | Combining equations (597,599) yields a new equation:
% 37.93/10.63 | (603) all_0_75_75 = all_0_84_84
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 603 yields:
% 37.93/10.63 | (604) all_0_75_75 = all_0_84_84
% 37.93/10.63 |
% 37.93/10.63 | Combining equations (601,602) yields a new equation:
% 37.93/10.63 | (605) all_0_56_56 = unit
% 37.93/10.63 |
% 37.93/10.63 | Equations (599) can reduce 1307 to:
% 37.93/10.63 | (1675) ~ (all_0_84_84 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Equations (604) can reduce 106 to:
% 37.93/10.63 | (3721) ~ (all_0_73_73 = all_0_84_84)
% 37.93/10.63 |
% 37.93/10.63 | Equations (604) can reduce 118 to:
% 37.93/10.63 | (3722) ~ (all_0_79_79 = all_0_84_84)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 3722 yields:
% 37.93/10.63 | (3723) ~ (all_0_79_79 = all_0_84_84)
% 37.93/10.63 |
% 37.93/10.63 | Equations (604) can reduce 519 to:
% 37.93/10.63 | (533) ~ (all_0_84_84 = unit)
% 37.93/10.63 |
% 37.93/10.63 | Equations (604) can reduce 1030 to:
% 37.93/10.63 | (1055) ~ (all_0_84_84 = e0)
% 37.93/10.63 |
% 37.93/10.63 | Equations (1110) can reduce 44 to:
% 37.93/10.63 | (659) ~ (all_0_79_79 = e3)
% 37.93/10.63 |
% 37.93/10.63 | Equations (1114) can reduce 284 to:
% 37.93/10.63 | (454) ~ (all_0_82_82 = e3)
% 37.93/10.63 |
% 37.93/10.63 | Equations (1114) can reduce 51 to:
% 37.93/10.63 | (1059) ~ (all_0_84_84 = e3)
% 37.93/10.63 |
% 37.93/10.63 | Equations (1114) can reduce 130 to:
% 37.93/10.63 | (1436) ~ (all_0_85_85 = e3)
% 37.93/10.63 |
% 37.93/10.63 | Equations (1114) can reduce 365 to:
% 37.93/10.63 | (607) ~ (unit = e3)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 607 yields:
% 37.93/10.63 | (406) ~ (unit = e3)
% 37.93/10.63 |
% 37.93/10.63 | From (604) and (201) follows:
% 37.93/10.63 | (3732) op(all_0_84_84, e1) = all_0_22_22
% 37.93/10.63 |
% 37.93/10.63 | From (1110) and (193) follows:
% 37.93/10.63 | (3733) op(e3, e3) = all_0_52_52
% 37.93/10.63 |
% 37.93/10.63 | From (1114) and (257) follows:
% 37.93/10.63 | (3734) op(e3, e3) = all_0_22_22
% 37.93/10.63 |
% 37.93/10.63 | From (604) and (3267) follows:
% 37.93/10.63 | (3735) op(e1, all_0_84_84) = e0
% 37.93/10.63 |
% 37.93/10.63 | From (1110) and (271) follows:
% 37.93/10.63 | (3736) op(e1, e3) = all_0_51_51
% 37.93/10.63 |
% 37.93/10.63 | From (605) and (596) follows:
% 37.93/10.63 | (362) op(e0, e0) = unit
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (240), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (1073) all_0_84_84 = e3
% 37.93/10.63 |
% 37.93/10.63 | Equations (1073) can reduce 1059 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (1059) ~ (all_0_84_84 = e3)
% 37.93/10.63 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (1661), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (618) all_0_84_84 = e2
% 37.93/10.63 |
% 37.93/10.63 | Equations (618) can reduce 3721 to:
% 37.93/10.63 | (888) ~ (all_0_73_73 = e2)
% 37.93/10.63 |
% 37.93/10.63 | Equations (618) can reduce 202 to:
% 37.93/10.63 | (765) ~ (all_0_76_76 = e2)
% 37.93/10.63 |
% 37.93/10.63 | Equations (618) can reduce 3723 to:
% 37.93/10.63 | (730) ~ (all_0_79_79 = e2)
% 37.93/10.63 |
% 37.93/10.63 | Equations (618) can reduce 81 to:
% 37.93/10.63 | (3583) ~ (all_0_85_85 = e2)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 3583 yields:
% 37.93/10.63 | (1498) ~ (all_0_85_85 = e2)
% 37.93/10.63 |
% 37.93/10.63 | Equations (618) can reduce 533 to:
% 37.93/10.63 | (621) ~ (unit = e2)
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 621 yields:
% 37.93/10.63 | (622) ~ (unit = e2)
% 37.93/10.63 |
% 37.93/10.63 | From (618) and (3732) follows:
% 37.93/10.63 | (3750) op(e2, e1) = all_0_22_22
% 37.93/10.63 |
% 37.93/10.63 | From (618) and (251) follows:
% 37.93/10.63 | (3751) op(e1, e2) = all_0_52_52
% 37.93/10.63 |
% 37.93/10.63 | From (618) and (3735) follows:
% 37.93/10.63 | (3752) op(e1, e2) = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (245), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (1015) all_0_80_80 = e3
% 37.93/10.63 |
% 37.93/10.63 | Combining equations (3134,1015) yields a new equation:
% 37.93/10.63 | (408) unit = e3
% 37.93/10.63 |
% 37.93/10.63 | Simplifying 408 yields:
% 37.93/10.63 | (409) unit = e3
% 37.93/10.63 |
% 37.93/10.63 | Equations (409) can reduce 406 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (1250) ~ (all_0_80_80 = e3)
% 37.93/10.63 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.93/10.63 |
% 37.93/10.63 | Equations (3134) can reduce 1250 to:
% 37.93/10.63 | (406) ~ (unit = e3)
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (119), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (409) unit = e3
% 37.93/10.63 |
% 37.93/10.63 | Equations (409) can reduce 406 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (406) ~ (unit = e3)
% 37.93/10.63 | (871) unit = e2 | unit = e1 | unit = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (871), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (415) unit = e2
% 37.93/10.63 |
% 37.93/10.63 | Equations (415) can reduce 622 to:
% 37.93/10.63 | (304) $false
% 37.93/10.63 |
% 37.93/10.63 |-The branch is then unsatisfiable
% 37.93/10.63 |-Branch two:
% 37.93/10.63 | (622) ~ (unit = e2)
% 37.93/10.63 | (1271) unit = e1 | unit = e0
% 37.93/10.63 |
% 37.93/10.63 +-Applying beta-rule and splitting (1271), into two cases.
% 37.93/10.63 |-Branch one:
% 37.93/10.63 | (436) unit = e1
% 37.93/10.63 |
% 37.93/10.63 | Equations (436) can reduce 1725 to:
% 37.93/10.63 | (894) ~ (all_0_73_73 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Equations (436) can reduce 1729 to:
% 37.93/10.63 | (797) ~ (all_0_76_76 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Equations (436) can reduce 527 to:
% 37.93/10.63 | (709) ~ (all_0_78_78 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Equations (436) can reduce 529 to:
% 37.93/10.63 | (731) ~ (all_0_79_79 = e1)
% 37.93/10.63 |
% 37.93/10.63 | Equations (436) can reduce 521 to:
% 37.94/10.63 | (1227) ~ (all_0_81_81 = e1)
% 37.94/10.63 |
% 37.94/10.63 | Equations (436) can reduce 3146 to:
% 37.94/10.63 | (470) ~ (all_0_82_82 = e1)
% 37.94/10.63 |
% 37.94/10.63 | Equations (436) can reduce 523 to:
% 37.94/10.63 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.63 |
% 37.94/10.63 | From (436) and (256) follows:
% 37.94/10.63 | (1009) op(e1, e3) = e3
% 37.94/10.63 |
% 37.94/10.63 | From (436) and (362) follows:
% 37.94/10.63 | (1150) op(e0, e0) = e1
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (23), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (600) all_0_85_85 = e3
% 37.94/10.63 |
% 37.94/10.63 | Equations (600) can reduce 1436 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (1436) ~ (all_0_85_85 = e3)
% 37.94/10.63 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (71), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (878) all_0_73_73 = e3
% 37.94/10.63 |
% 37.94/10.63 | Equations (878) can reduce 185 to:
% 37.94/10.63 | (1119) ~ (all_0_81_81 = e3)
% 37.94/10.63 |
% 37.94/10.63 | Simplifying 1119 yields:
% 37.94/10.63 | (1120) ~ (all_0_81_81 = e3)
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (19), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (673) all_0_76_76 = e3
% 37.94/10.63 |
% 37.94/10.63 | Equations (673) can reduce 204 to:
% 37.94/10.63 | (656) ~ (all_0_78_78 = e3)
% 37.94/10.63 |
% 37.94/10.63 | Simplifying 656 yields:
% 37.94/10.63 | (657) ~ (all_0_78_78 = e3)
% 37.94/10.63 |
% 37.94/10.63 | Equations (673) can reduce 297 to:
% 37.94/10.63 | (658) ~ (all_0_79_79 = e3)
% 37.94/10.63 |
% 37.94/10.63 | Simplifying 658 yields:
% 37.94/10.63 | (659) ~ (all_0_79_79 = e3)
% 37.94/10.63 |
% 37.94/10.63 | From (673) and (273) follows:
% 37.94/10.63 | (1893) op(e3, e3) = all_0_12_12
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (184), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (598) all_0_79_79 = e3
% 37.94/10.63 |
% 37.94/10.63 | Equations (598) can reduce 659 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (659) ~ (all_0_79_79 = e3)
% 37.94/10.63 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (1546), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (1558) all_0_85_85 = e2
% 37.94/10.63 |
% 37.94/10.63 | Equations (1558) can reduce 1498 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (1498) ~ (all_0_85_85 = e2)
% 37.94/10.63 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (1561), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (1566) all_0_85_85 = e1
% 37.94/10.63 |
% 37.94/10.63 | Equations (1566) can reduce 1540 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.63 | (1569) all_0_85_85 = e0
% 37.94/10.63 |
% 37.94/10.63 | Equations (1569) can reduce 281 to:
% 37.94/10.63 | (1137) ~ (all_0_81_81 = e0)
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (176), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (825) all_0_81_81 = e3
% 37.94/10.63 |
% 37.94/10.63 | Equations (825) can reduce 1120 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (1120) ~ (all_0_81_81 = e3)
% 37.94/10.63 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (735), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (687) all_0_79_79 = e2
% 37.94/10.63 |
% 37.94/10.63 | Equations (687) can reduce 730 to:
% 37.94/10.63 | (304) $false
% 37.94/10.63 |
% 37.94/10.63 |-The branch is then unsatisfiable
% 37.94/10.63 |-Branch two:
% 37.94/10.63 | (730) ~ (all_0_79_79 = e2)
% 37.94/10.63 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.63 |
% 37.94/10.63 +-Applying beta-rule and splitting (749), into two cases.
% 37.94/10.63 |-Branch one:
% 37.94/10.63 | (750) all_0_79_79 = e1
% 37.94/10.63 |
% 37.94/10.63 | Equations (750) can reduce 731 to:
% 37.94/10.63 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (731) ~ (all_0_79_79 = e1)
% 37.94/10.64 | (753) all_0_79_79 = e0
% 37.94/10.64 |
% 37.94/10.64 | Equations (753) can reduce 25 to:
% 37.94/10.64 | (690) ~ (all_0_78_78 = e0)
% 37.94/10.64 |
% 37.94/10.64 | From (753) and (3259) follows:
% 37.94/10.64 | (1109) op(e0, e0) = e2
% 37.94/10.64 |
% 37.94/10.64 | From (753) and (111) follows:
% 37.94/10.64 | (3818) op(e0, e0) = all_0_63_63
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (50), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (695) all_0_78_78 = e3
% 37.94/10.64 |
% 37.94/10.64 | Equations (695) can reduce 657 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (657) ~ (all_0_78_78 = e3)
% 37.94/10.64 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (1142), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (1155) all_0_81_81 = e2
% 37.94/10.64 |
% 37.94/10.64 | From (1155) and (224) follows:
% 37.94/10.64 | (3824) op(e2, e1) = all_0_46_46
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (241), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (448) all_0_82_82 = e3
% 37.94/10.64 |
% 37.94/10.64 | Equations (448) can reduce 454 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (454) ~ (all_0_82_82 = e3)
% 37.94/10.64 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (698), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (703) all_0_78_78 = e2
% 37.94/10.64 |
% 37.94/10.64 | Equations (703) can reduce 6 to:
% 37.94/10.64 | (3830) ~ (all_0_82_82 = e2)
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3830 yields:
% 37.94/10.64 | (427) ~ (all_0_82_82 = e2)
% 37.94/10.64 |
% 37.94/10.64 | From (703) and (83) follows:
% 37.94/10.64 | (3832) op(e2, e1) = all_0_34_34
% 37.94/10.64 |
% 37.94/10.64 | From (703) and (209) follows:
% 37.94/10.64 | (2959) op(e2, e1) = e2
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (853), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (417) all_0_82_82 = e2
% 37.94/10.64 |
% 37.94/10.64 | Equations (417) can reduce 427 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (427) ~ (all_0_82_82 = e2)
% 37.94/10.64 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (866), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (464) all_0_82_82 = e1
% 37.94/10.64 |
% 37.94/10.64 | Equations (464) can reduce 470 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (470) ~ (all_0_82_82 = e1)
% 37.94/10.64 | (480) all_0_82_82 = e0
% 37.94/10.64 |
% 37.94/10.64 | Equations (480) can reduce 470 to:
% 37.94/10.64 | (1181) ~ (e1 = e0)
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 1181 yields:
% 37.94/10.64 | (69) ~ (e1 = e0)
% 37.94/10.64 |
% 37.94/10.64 | From (480) and (136) follows:
% 37.94/10.64 | (3844) op(e0, e0) = all_0_51_51
% 37.94/10.64 |
% 37.94/10.64 | From (480) and (7) follows:
% 37.94/10.64 | (3845) op(e0, e0) = all_0_66_66
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e3, e3, all_0_22_22, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_22_22, yields:
% 37.94/10.64 | (3846) all_0_12_12 = all_0_22_22
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e3, e3, all_0_52_52, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_52_52, yields:
% 37.94/10.64 | (3847) all_0_12_12 = all_0_52_52
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e2, e1, all_0_34_34, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = all_0_34_34, yields:
% 37.94/10.64 | (3848) all_0_22_22 = all_0_34_34
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e2, e1, all_0_46_46, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = all_0_46_46, yields:
% 37.94/10.64 | (3849) all_0_22_22 = all_0_46_46
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e2, e1, e2, all_0_34_34 and discharging atoms op(e2, e1) = all_0_34_34, op(e2, e1) = e2, yields:
% 37.94/10.64 | (331) all_0_34_34 = e2
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e1, e3, e3, all_0_51_51 and discharging atoms op(e1, e3) = all_0_51_51, op(e1, e3) = e3, yields:
% 37.94/10.64 | (3851) all_0_51_51 = e3
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e1, e2, e0, all_0_52_52 and discharging atoms op(e1, e2) = all_0_52_52, op(e1, e2) = e0, yields:
% 37.94/10.64 | (3852) all_0_52_52 = e0
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e0, e0, all_0_63_63, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = all_0_63_63, yields:
% 37.94/10.64 | (3853) all_0_51_51 = all_0_63_63
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e0, e0, all_0_66_66, all_0_63_63 and discharging atoms op(e0, e0) = all_0_63_63, op(e0, e0) = all_0_66_66, yields:
% 37.94/10.64 | (3854) all_0_63_63 = all_0_66_66
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e0, e0, e2, all_0_66_66 and discharging atoms op(e0, e0) = all_0_66_66, op(e0, e0) = e2, yields:
% 37.94/10.64 | (3855) all_0_66_66 = e2
% 37.94/10.64 |
% 37.94/10.64 | Instantiating formula (268) with e0, e0, e1, all_0_66_66 and discharging atoms op(e0, e0) = all_0_66_66, op(e0, e0) = e1, yields:
% 37.94/10.64 | (3856) all_0_66_66 = e1
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3847,3846) yields a new equation:
% 37.94/10.64 | (3857) all_0_22_22 = all_0_52_52
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3848,3849) yields a new equation:
% 37.94/10.64 | (3858) all_0_34_34 = all_0_46_46
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3858 yields:
% 37.94/10.64 | (3859) all_0_34_34 = all_0_46_46
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3857,3849) yields a new equation:
% 37.94/10.64 | (3860) all_0_46_46 = all_0_52_52
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3859,331) yields a new equation:
% 37.94/10.64 | (3861) all_0_46_46 = e2
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3861 yields:
% 37.94/10.64 | (841) all_0_46_46 = e2
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3860,841) yields a new equation:
% 37.94/10.64 | (3863) all_0_52_52 = e2
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3863 yields:
% 37.94/10.64 | (3864) all_0_52_52 = e2
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3853,3851) yields a new equation:
% 37.94/10.64 | (3865) all_0_63_63 = e3
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3865 yields:
% 37.94/10.64 | (3866) all_0_63_63 = e3
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3852,3864) yields a new equation:
% 37.94/10.64 | (1221) e2 = e0
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3854,3866) yields a new equation:
% 37.94/10.64 | (3868) all_0_66_66 = e3
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 3868 yields:
% 37.94/10.64 | (3869) all_0_66_66 = e3
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3856,3869) yields a new equation:
% 37.94/10.64 | (1017) e3 = e1
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (3855,3869) yields a new equation:
% 37.94/10.64 | (1215) e3 = e2
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (1215,1017) yields a new equation:
% 37.94/10.64 | (1218) e2 = e1
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 1218 yields:
% 37.94/10.64 | (1219) e2 = e1
% 37.94/10.64 |
% 37.94/10.64 | Combining equations (1219,1221) yields a new equation:
% 37.94/10.64 | (1632) e1 = e0
% 37.94/10.64 |
% 37.94/10.64 | Simplifying 1632 yields:
% 37.94/10.64 | (1222) e1 = e0
% 37.94/10.64 |
% 37.94/10.64 | Equations (1222) can reduce 69 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (689) ~ (all_0_78_78 = e2)
% 37.94/10.64 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (706), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (710) all_0_78_78 = e1
% 37.94/10.64 |
% 37.94/10.64 | Equations (710) can reduce 709 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (709) ~ (all_0_78_78 = e1)
% 37.94/10.64 | (713) all_0_78_78 = e0
% 37.94/10.64 |
% 37.94/10.64 | Equations (713) can reduce 690 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (1104) ~ (all_0_81_81 = e2)
% 37.94/10.64 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (1158), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (1163) all_0_81_81 = e1
% 37.94/10.64 |
% 37.94/10.64 | Equations (1163) can reduce 1227 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (1227) ~ (all_0_81_81 = e1)
% 37.94/10.64 | (1228) all_0_81_81 = e0
% 37.94/10.64 |
% 37.94/10.64 | Equations (1228) can reduce 1137 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (677) ~ (all_0_76_76 = e3)
% 37.94/10.64 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (184), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (598) all_0_79_79 = e3
% 37.94/10.64 |
% 37.94/10.64 | Equations (598) can reduce 659 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (659) ~ (all_0_79_79 = e3)
% 37.94/10.64 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.64 |
% 37.94/10.64 +-Applying beta-rule and splitting (735), into two cases.
% 37.94/10.64 |-Branch one:
% 37.94/10.64 | (687) all_0_79_79 = e2
% 37.94/10.64 |
% 37.94/10.64 | Equations (687) can reduce 730 to:
% 37.94/10.64 | (304) $false
% 37.94/10.64 |
% 37.94/10.64 |-The branch is then unsatisfiable
% 37.94/10.64 |-Branch two:
% 37.94/10.64 | (730) ~ (all_0_79_79 = e2)
% 37.94/10.65 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (749), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (750) all_0_79_79 = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (750) can reduce 731 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (731) ~ (all_0_79_79 = e1)
% 37.94/10.65 | (753) all_0_79_79 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (753) can reduce 297 to:
% 37.94/10.65 | (1836) ~ (all_0_76_76 = e0)
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (678), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (761) all_0_76_76 = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (761) can reduce 765 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (765) ~ (all_0_76_76 = e2)
% 37.94/10.65 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (766), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (781) all_0_76_76 = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (781) can reduce 797 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (797) ~ (all_0_76_76 = e1)
% 37.94/10.65 | (798) all_0_76_76 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (798) can reduce 1836 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (882) ~ (all_0_73_73 = e3)
% 37.94/10.65 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (1546), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (1558) all_0_85_85 = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (1558) can reduce 1498 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1498) ~ (all_0_85_85 = e2)
% 37.94/10.65 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (1561), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (1566) all_0_85_85 = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (1566) can reduce 1540 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.65 | (1569) all_0_85_85 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (1569) can reduce 296 to:
% 37.94/10.65 | (1832) ~ (all_0_73_73 = e0)
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (883), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (884) all_0_73_73 = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (884) can reduce 888 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (888) ~ (all_0_73_73 = e2)
% 37.94/10.65 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (889), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (890) all_0_73_73 = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (890) can reduce 894 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (894) ~ (all_0_73_73 = e1)
% 37.94/10.65 | (895) all_0_73_73 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (895) can reduce 1832 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (404) ~ (unit = e1)
% 37.94/10.65 | (441) unit = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (441) can reduce 402 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1050) ~ (all_0_84_84 = e2)
% 37.94/10.65 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (1673), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (1085) all_0_84_84 = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (1085) can reduce 1675 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1675) ~ (all_0_84_84 = e1)
% 37.94/10.65 | (1280) all_0_84_84 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (1280) can reduce 1055 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1365) all_0_8_8 = e1
% 37.94/10.65 | (401) ~ (all_0_72_72 = e0)
% 37.94/10.65 |
% 37.94/10.65 | Equations (439) can reduce 401 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (413) all_0_72_72 = e2
% 37.94/10.65 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 37.94/10.65 |
% 37.94/10.65 | Equations (413) can reduce 515 to:
% 37.94/10.65 | (621) ~ (unit = e2)
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 621 yields:
% 37.94/10.65 | (622) ~ (unit = e2)
% 37.94/10.65 |
% 37.94/10.65 | From (413) and (4) follows:
% 37.94/10.65 | (648) op(e2, e3) = all_0_8_8
% 37.94/10.65 |
% 37.94/10.65 | From (413) and (3) follows:
% 37.94/10.65 | (2142) op(e2, e2) = all_0_9_9
% 37.94/10.65 |
% 37.94/10.65 | From (413) and (2) follows:
% 37.94/10.65 | (2144) op(e3, e2) = all_0_8_8
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.94/10.65 | (2147) all_0_8_8 = all_0_73_73
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.94/10.65 | (2148) all_0_8_8 = all_0_76_76
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.94/10.65 | (2149) all_0_9_9 = unit
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (2147,2148) yields a new equation:
% 37.94/10.65 | (2153) all_0_73_73 = all_0_76_76
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 2153 yields:
% 37.94/10.65 | (2154) all_0_73_73 = all_0_76_76
% 37.94/10.65 |
% 37.94/10.65 | From (2148) and (2286) follows:
% 37.94/10.65 | (2312) op(all_0_76_76, e3) = e2
% 37.94/10.65 |
% 37.94/10.65 | From (2154) and (295) follows:
% 37.94/10.65 | (2313) op(all_0_76_76, e3) = all_0_12_12
% 37.94/10.65 |
% 37.94/10.65 | From (2154)(2149) and (137) follows:
% 37.94/10.65 | (2314) op(e3, all_0_76_76) = unit
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with all_0_76_76, e3, e2, all_0_12_12 and discharging atoms op(all_0_76_76, e3) = all_0_12_12, op(all_0_76_76, e3) = e2, yields:
% 37.94/10.65 | (2315) all_0_12_12 = e2
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e3, all_0_76_76, unit, all_0_12_12 and discharging atoms op(e3, all_0_76_76) = all_0_12_12, op(e3, all_0_76_76) = unit, yields:
% 37.94/10.65 | (2316) all_0_12_12 = unit
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (2316,2315) yields a new equation:
% 37.94/10.65 | (414) unit = e2
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 414 yields:
% 37.94/10.65 | (415) unit = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (415) can reduce 622 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (434) all_0_72_72 = e1
% 37.94/10.65 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.94/10.65 |
% 37.94/10.65 | Equations (434) can reduce 515 to:
% 37.94/10.65 | (928) ~ (unit = e1)
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 928 yields:
% 37.94/10.65 | (404) ~ (unit = e1)
% 37.94/10.65 |
% 37.94/10.65 | From (434) and (4) follows:
% 37.94/10.65 | (816) op(e1, e3) = all_0_8_8
% 37.94/10.65 |
% 37.94/10.65 | From (434) and (3266) follows:
% 37.94/10.65 | (3364) op(e1, e1) = e3
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (2285), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (959) ~ (all_0_8_8 = e0)
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 37.94/10.65 | (652) all_0_8_8 = unit
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 37.94/10.65 | (448) all_0_82_82 = e3
% 37.94/10.65 |
% 37.94/10.65 | Equations (652) can reduce 959 to:
% 37.94/10.65 | (402) ~ (unit = e0)
% 37.94/10.65 |
% 37.94/10.65 | Equations (448) can reduce 3146 to:
% 37.94/10.65 | (607) ~ (unit = e3)
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 607 yields:
% 37.94/10.65 | (406) ~ (unit = e3)
% 37.94/10.65 |
% 37.94/10.65 | From (652) and (2286) follows:
% 37.94/10.65 | (2339) op(unit, e3) = e2
% 37.94/10.65 |
% 37.94/10.65 | From (448) and (112) follows:
% 37.94/10.65 | (3981) op(e2, e3) = all_0_34_34
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (245), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (1015) all_0_80_80 = e3
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (1015,3134) yields a new equation:
% 37.94/10.65 | (409) unit = e3
% 37.94/10.65 |
% 37.94/10.65 | Equations (409) can reduce 406 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1250) ~ (all_0_80_80 = e3)
% 37.94/10.65 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (3134) can reduce 1250 to:
% 37.94/10.65 | (406) ~ (unit = e3)
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (1251), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (843) all_0_80_80 = e2
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (843,3134) yields a new equation:
% 37.94/10.65 | (415) unit = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (415) can reduce 406 to:
% 37.94/10.65 | (2373) ~ (e3 = e2)
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 2373 yields:
% 37.94/10.65 | (120) ~ (e3 = e2)
% 37.94/10.65 |
% 37.94/10.65 | From (415) and (256) follows:
% 37.94/10.65 | (903) op(e2, e3) = e3
% 37.94/10.65 |
% 37.94/10.65 | From (415) and (2339) follows:
% 37.94/10.65 | (2376) op(e2, e3) = e2
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e2, e3, all_0_34_34, all_0_76_76 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = all_0_76_76, yields:
% 37.94/10.65 | (3994) all_0_34_34 = all_0_76_76
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e2, e3, e3, all_0_34_34 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = e3, yields:
% 37.94/10.65 | (3995) all_0_34_34 = e3
% 37.94/10.65 |
% 37.94/10.65 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 37.94/10.65 | (761) all_0_76_76 = e2
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (3994,3995) yields a new equation:
% 37.94/10.65 | (2849) all_0_76_76 = e3
% 37.94/10.65 |
% 37.94/10.65 | Simplifying 2849 yields:
% 37.94/10.65 | (673) all_0_76_76 = e3
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (761,673) yields a new equation:
% 37.94/10.65 | (1215) e3 = e2
% 37.94/10.65 |
% 37.94/10.65 | Equations (1215) can reduce 120 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1103) ~ (all_0_80_80 = e2)
% 37.94/10.65 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.94/10.65 |
% 37.94/10.65 +-Applying beta-rule and splitting (1264), into two cases.
% 37.94/10.65 |-Branch one:
% 37.94/10.65 | (1013) all_0_80_80 = e1
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (1013,3134) yields a new equation:
% 37.94/10.65 | (436) unit = e1
% 37.94/10.65 |
% 37.94/10.65 | Equations (436) can reduce 404 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1087) ~ (all_0_80_80 = e1)
% 37.94/10.65 | (1268) all_0_80_80 = e0
% 37.94/10.65 |
% 37.94/10.65 | Combining equations (1268,3134) yields a new equation:
% 37.94/10.65 | (441) unit = e0
% 37.94/10.65 |
% 37.94/10.65 | Equations (441) can reduce 402 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.65 |-Branch two:
% 37.94/10.65 | (1024) all_0_8_8 = e0
% 37.94/10.65 | (403) ~ (all_0_72_72 = e1)
% 37.94/10.65 |
% 37.94/10.65 | Equations (434) can reduce 403 to:
% 37.94/10.65 | (304) $false
% 37.94/10.65 |
% 37.94/10.65 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (1285) all_0_2_2 = e0
% 37.94/10.66 | (1286) ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e1)
% 37.94/10.66 |
% 37.94/10.66 | From (1285) and (89) follows:
% 37.94/10.66 | (1287) op(all_0_8_8, e3) = e0
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (169), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (574) ~ (all_0_2_2 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Equations (1285) can reduce 574 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (1285) all_0_2_2 = e0
% 37.94/10.66 | (1291) ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e2)
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (230), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (403) ~ (all_0_72_72 = e1)
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (24), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (407) all_0_72_72 = e3
% 37.94/10.66 |
% 37.94/10.66 | Equations (407) can reduce 515 to:
% 37.94/10.66 | (607) ~ (unit = e3)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 607 yields:
% 37.94/10.66 | (406) ~ (unit = e3)
% 37.94/10.66 |
% 37.94/10.66 | From (407) and (3266) follows:
% 37.94/10.66 | (1009) op(e1, e3) = e3
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 37.94/10.66 | (409) unit = e3
% 37.94/10.66 |
% 37.94/10.66 | Equations (409) can reduce 406 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (405) ~ (all_0_72_72 = e3)
% 37.94/10.66 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (188), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (401) ~ (all_0_72_72 = e0)
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (412), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (413) all_0_72_72 = e2
% 37.94/10.66 |
% 37.94/10.66 | Equations (413) can reduce 17 to:
% 37.94/10.66 | (2797) ~ (all_0_73_73 = e2)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2797 yields:
% 37.94/10.66 | (888) ~ (all_0_73_73 = e2)
% 37.94/10.66 |
% 37.94/10.66 | Equations (413) can reduce 64 to:
% 37.94/10.66 | (644) ~ (all_0_75_75 = e2)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 644 yields:
% 37.94/10.66 | (645) ~ (all_0_75_75 = e2)
% 37.94/10.66 |
% 37.94/10.66 | Equations (413) can reduce 515 to:
% 37.94/10.66 | (621) ~ (unit = e2)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 621 yields:
% 37.94/10.66 | (622) ~ (unit = e2)
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (4) follows:
% 37.94/10.66 | (648) op(e2, e3) = all_0_8_8
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (3) follows:
% 37.94/10.66 | (2142) op(e2, e2) = all_0_9_9
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (3257) follows:
% 37.94/10.66 | (820) op(e2, e1) = e3
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (2) follows:
% 37.94/10.66 | (2144) op(e3, e2) = all_0_8_8
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (149) follows:
% 37.94/10.66 | (2145) op(e2, e2) = all_0_24_24
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (3266) follows:
% 37.94/10.66 | (817) op(e1, e2) = e3
% 37.94/10.66 |
% 37.94/10.66 | From (413) and (196) follows:
% 37.94/10.66 | (4043) op(e0, e2) = all_0_56_56
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (1291), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (1307) ~ (all_0_8_8 = e1)
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 37.94/10.66 | (2147) all_0_8_8 = all_0_73_73
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 37.94/10.66 | (2148) all_0_8_8 = all_0_76_76
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e2, e2, all_0_9_9, unit and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = unit, yields:
% 37.94/10.66 | (2149) all_0_9_9 = unit
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e2, e2, all_0_24_24, all_0_9_9 and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = all_0_24_24, yields:
% 37.94/10.66 | (2150) all_0_9_9 = all_0_24_24
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e2, e1, e3, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e3, yields:
% 37.94/10.66 | (695) all_0_78_78 = e3
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 37.94/10.66 | (825) all_0_81_81 = e3
% 37.94/10.66 |
% 37.94/10.66 | Instantiating formula (268) with e0, e2, all_0_56_56, all_0_85_85 and discharging atoms op(e0, e2) = all_0_56_56, op(e0, e2) = all_0_85_85, yields:
% 37.94/10.66 | (4051) all_0_56_56 = all_0_85_85
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2147,2148) yields a new equation:
% 37.94/10.66 | (2153) all_0_73_73 = all_0_76_76
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2153 yields:
% 37.94/10.66 | (2154) all_0_73_73 = all_0_76_76
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2150,2149) yields a new equation:
% 37.94/10.66 | (2155) all_0_24_24 = unit
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2155 yields:
% 37.94/10.66 | (2156) all_0_24_24 = unit
% 37.94/10.66 |
% 37.94/10.66 | Equations (2148) can reduce 1307 to:
% 37.94/10.66 | (797) ~ (all_0_76_76 = e1)
% 37.94/10.66 |
% 37.94/10.66 | Equations (2154) can reduce 106 to:
% 37.94/10.66 | (4057) ~ (all_0_75_75 = all_0_76_76)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 4057 yields:
% 37.94/10.66 | (4058) ~ (all_0_75_75 = all_0_76_76)
% 37.94/10.66 |
% 37.94/10.66 | Equations (2154) can reduce 296 to:
% 37.94/10.66 | (4059) ~ (all_0_76_76 = all_0_85_85)
% 37.94/10.66 |
% 37.94/10.66 | Equations (2154) can reduce 1725 to:
% 37.94/10.66 | (1729) ~ (all_0_76_76 = unit)
% 37.94/10.66 |
% 37.94/10.66 | Equations (2154) can reduce 888 to:
% 37.94/10.66 | (765) ~ (all_0_76_76 = e2)
% 37.94/10.66 |
% 37.94/10.66 | Equations (695) can reduce 204 to:
% 37.94/10.66 | (677) ~ (all_0_76_76 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Equations (695) can reduce 266 to:
% 37.94/10.66 | (1060) ~ (all_0_86_86 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 1060 yields:
% 37.94/10.66 | (1061) ~ (all_0_86_86 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Equations (825) can reduce 276 to:
% 37.94/10.66 | (4065) ~ (all_0_82_82 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 4065 yields:
% 37.94/10.66 | (454) ~ (all_0_82_82 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Equations (825) can reduce 281 to:
% 37.94/10.66 | (1435) ~ (all_0_85_85 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 1435 yields:
% 37.94/10.66 | (1436) ~ (all_0_85_85 = e3)
% 37.94/10.66 |
% 37.94/10.66 | Equations (825) can reduce 521 to:
% 37.94/10.66 | (607) ~ (unit = e3)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 607 yields:
% 37.94/10.66 | (406) ~ (unit = e3)
% 37.94/10.66 |
% 37.94/10.66 | From (2154) and (295) follows:
% 37.94/10.66 | (2313) op(all_0_76_76, e3) = all_0_12_12
% 37.94/10.66 |
% 37.94/10.66 | From (2156) and (270) follows:
% 37.94/10.66 | (2161) op(all_0_76_76, e3) = unit
% 37.94/10.66 |
% 37.94/10.66 | From (695) and (178) follows:
% 37.94/10.66 | (1441) op(e3, e0) = all_0_35_35
% 37.94/10.66 |
% 37.94/10.66 | From (2154) and (42) follows:
% 37.94/10.66 | (4074) op(e2, all_0_76_76) = all_0_25_25
% 37.94/10.66 |
% 37.94/10.66 | From (825) and (258) follows:
% 37.94/10.66 | (817) op(e1, e2) = e3
% 37.94/10.66 |
% 37.94/10.66 | From (695) and (228) follows:
% 37.94/10.66 | (1446) op(e0, e3) = all_0_62_62
% 37.94/10.66 |
% 37.94/10.66 | From (4051) and (4043) follows:
% 37.94/10.66 | (72) op(e0, e2) = all_0_85_85
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (19), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (673) all_0_76_76 = e3
% 37.94/10.66 |
% 37.94/10.66 | Equations (673) can reduce 677 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (677) ~ (all_0_76_76 = e3)
% 37.94/10.66 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (71), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (878) all_0_73_73 = e3
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2154,878) yields a new equation:
% 37.94/10.66 | (2849) all_0_76_76 = e3
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2849 yields:
% 37.94/10.66 | (673) all_0_76_76 = e3
% 37.94/10.66 |
% 37.94/10.66 | Equations (673) can reduce 677 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (882) ~ (all_0_73_73 = e3)
% 37.94/10.66 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (883), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (884) all_0_73_73 = e2
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2154,884) yields a new equation:
% 37.94/10.66 | (2380) all_0_76_76 = e2
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2380 yields:
% 37.94/10.66 | (761) all_0_76_76 = e2
% 37.94/10.66 |
% 37.94/10.66 | Equations (761) can reduce 765 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (888) ~ (all_0_73_73 = e2)
% 37.94/10.66 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 37.94/10.66 |
% 37.94/10.66 +-Applying beta-rule and splitting (889), into two cases.
% 37.94/10.66 |-Branch one:
% 37.94/10.66 | (890) all_0_73_73 = e1
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2154,890) yields a new equation:
% 37.94/10.66 | (2861) all_0_76_76 = e1
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2861 yields:
% 37.94/10.66 | (781) all_0_76_76 = e1
% 37.94/10.66 |
% 37.94/10.66 | Equations (781) can reduce 797 to:
% 37.94/10.66 | (304) $false
% 37.94/10.66 |
% 37.94/10.66 |-The branch is then unsatisfiable
% 37.94/10.66 |-Branch two:
% 37.94/10.66 | (894) ~ (all_0_73_73 = e1)
% 37.94/10.66 | (895) all_0_73_73 = e0
% 37.94/10.66 |
% 37.94/10.66 | Combining equations (2154,895) yields a new equation:
% 37.94/10.66 | (2168) all_0_76_76 = e0
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 2168 yields:
% 37.94/10.66 | (798) all_0_76_76 = e0
% 37.94/10.66 |
% 37.94/10.66 | Equations (798) can reduce 4058 to:
% 37.94/10.66 | (1030) ~ (all_0_75_75 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Equations (798) can reduce 297 to:
% 37.94/10.66 | (744) ~ (all_0_79_79 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 744 yields:
% 37.94/10.66 | (745) ~ (all_0_79_79 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Equations (798) can reduce 4059 to:
% 37.94/10.66 | (4105) ~ (all_0_85_85 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 4105 yields:
% 37.94/10.66 | (1941) ~ (all_0_85_85 = e0)
% 37.94/10.66 |
% 37.94/10.66 | Equations (798) can reduce 1729 to:
% 37.94/10.66 | (1031) ~ (unit = e0)
% 37.94/10.66 |
% 37.94/10.66 | Simplifying 1031 yields:
% 37.94/10.66 | (402) ~ (unit = e0)
% 37.94/10.66 |
% 37.94/10.66 | From (798) and (2313) follows:
% 37.94/10.66 | (4109) op(e0, e3) = all_0_12_12
% 37.94/10.67 |
% 37.94/10.67 | From (798) and (2161) follows:
% 37.94/10.67 | (1476) op(e0, e3) = unit
% 37.94/10.67 |
% 37.94/10.67 | From (798) and (273) follows:
% 37.94/10.67 | (4111) op(e3, e0) = all_0_12_12
% 37.94/10.67 |
% 37.94/10.67 | From (798) and (4074) follows:
% 37.94/10.67 | (4112) op(e2, e0) = all_0_25_25
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (34), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (447) all_0_87_87 = e3
% 37.94/10.67 |
% 37.94/10.67 | Combining equations (363,447) yields a new equation:
% 37.94/10.67 | (408) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 408 yields:
% 37.94/10.67 | (409) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (409) can reduce 406 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (457) ~ (all_0_87_87 = e3)
% 37.94/10.67 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.94/10.67 |
% 37.94/10.67 | Equations (363) can reduce 457 to:
% 37.94/10.67 | (406) ~ (unit = e3)
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (11), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (691) all_0_74_74 = e3
% 37.94/10.67 |
% 37.94/10.67 | Combining equations (3132,691) yields a new equation:
% 37.94/10.67 | (408) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 408 yields:
% 37.94/10.67 | (409) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (409) can reduce 406 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (680) ~ (all_0_74_74 = e3)
% 37.94/10.67 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.94/10.67 |
% 37.94/10.67 | Equations (3132) can reduce 680 to:
% 37.94/10.67 | (406) ~ (unit = e3)
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (94), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (449) all_0_77_77 = e3
% 37.94/10.67 |
% 37.94/10.67 | Combining equations (400,449) yields a new equation:
% 37.94/10.67 | (408) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 408 yields:
% 37.94/10.67 | (409) unit = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (409) can reduce 406 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (450) ~ (all_0_77_77 = e3)
% 37.94/10.67 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1169), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (418) all_0_77_77 = e2
% 37.94/10.67 |
% 37.94/10.67 | Combining equations (400,418) yields a new equation:
% 37.94/10.67 | (414) unit = e2
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 414 yields:
% 37.94/10.67 | (415) unit = e2
% 37.94/10.67 |
% 37.94/10.67 | Equations (415) can reduce 622 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (423) ~ (all_0_77_77 = e2)
% 37.94/10.67 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1176), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (465) all_0_77_77 = e1
% 37.94/10.67 |
% 37.94/10.67 | Combining equations (400,465) yields a new equation:
% 37.94/10.67 | (435) unit = e1
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 435 yields:
% 37.94/10.67 | (436) unit = e1
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 519 to:
% 37.94/10.67 | (728) ~ (all_0_75_75 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 529 to:
% 37.94/10.67 | (731) ~ (all_0_79_79 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 3146 to:
% 37.94/10.67 | (470) ~ (all_0_82_82 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 364 to:
% 37.94/10.67 | (1088) ~ (all_0_83_83 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 533 to:
% 37.94/10.67 | (1675) ~ (all_0_84_84 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 523 to:
% 37.94/10.67 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.67 |
% 37.94/10.67 | Equations (436) can reduce 365 to:
% 37.94/10.67 | (1090) ~ (all_0_86_86 = e1)
% 37.94/10.67 |
% 37.94/10.67 | From (436) and (1476) follows:
% 37.94/10.67 | (1935) op(e0, e3) = e1
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (74), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (679) all_0_75_75 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (679) can reduce 118 to:
% 37.94/10.67 | (658) ~ (all_0_79_79 = e3)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 658 yields:
% 37.94/10.67 | (659) ~ (all_0_79_79 = e3)
% 37.94/10.67 |
% 37.94/10.67 | Equations (679) can reduce 88 to:
% 37.94/10.67 | (1057) ~ (all_0_83_83 = e3)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 1057 yields:
% 37.94/10.67 | (1058) ~ (all_0_83_83 = e3)
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (23), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (600) all_0_85_85 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (600) can reduce 1436 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1436) ~ (all_0_85_85 = e3)
% 37.94/10.67 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (184), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (598) all_0_79_79 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (598) can reduce 659 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (659) ~ (all_0_79_79 = e3)
% 37.94/10.67 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (240), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1073) all_0_84_84 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (1073) can reduce 51 to:
% 37.94/10.67 | (1060) ~ (all_0_86_86 = e3)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 1060 yields:
% 37.94/10.67 | (1061) ~ (all_0_86_86 = e3)
% 37.94/10.67 |
% 37.94/10.67 | From (1073) and (49) follows:
% 37.94/10.67 | (1510) op(e3, e0) = all_0_59_59
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (735), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (687) all_0_79_79 = e2
% 37.94/10.67 |
% 37.94/10.67 | Equations (687) can reduce 44 to:
% 37.94/10.67 | (2916) ~ (all_0_83_83 = e2)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 2916 yields:
% 37.94/10.67 | (1105) ~ (all_0_83_83 = e2)
% 37.94/10.67 |
% 37.94/10.67 | From (687) and (293) follows:
% 37.94/10.67 | (1542) op(e2, e1) = all_0_38_38
% 37.94/10.67 |
% 37.94/10.67 | From (687) and (31) follows:
% 37.94/10.67 | (2529) op(e1, e2) = all_0_47_47
% 37.94/10.67 |
% 37.94/10.67 | From (687) and (111) follows:
% 37.94/10.67 | (4172) op(e0, e2) = all_0_63_63
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (151), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1110) all_0_83_83 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (1110) can reduce 1058 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1058) ~ (all_0_83_83 = e3)
% 37.94/10.67 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1546), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1558) all_0_85_85 = e2
% 37.94/10.67 |
% 37.94/10.67 | Equations (1558) can reduce 130 to:
% 37.94/10.67 | (3585) ~ (all_0_86_86 = e2)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 3585 yields:
% 37.94/10.67 | (1106) ~ (all_0_86_86 = e2)
% 37.94/10.67 |
% 37.94/10.67 | From (1558) and (280) follows:
% 37.94/10.67 | (4180) op(e2, e1) = all_0_62_62
% 37.94/10.67 |
% 37.94/10.67 | From (1558) and (221) follows:
% 37.94/10.67 | (4181) op(e2, e0) = all_0_63_63
% 37.94/10.67 |
% 37.94/10.67 | From (1558) and (36) follows:
% 37.94/10.67 | (4182) op(e1, e2) = all_0_53_53
% 37.94/10.67 |
% 37.94/10.67 | From (1558) and (72) follows:
% 37.94/10.67 | (4183) op(e0, e2) = e2
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (123), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1114) all_0_86_86 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (1114) can reduce 1061 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1061) ~ (all_0_86_86 = e3)
% 37.94/10.67 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1113), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1125) all_0_83_83 = e2
% 37.94/10.67 |
% 37.94/10.67 | Equations (1125) can reduce 1105 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1105) ~ (all_0_83_83 = e2)
% 37.94/10.67 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1117), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1129) all_0_86_86 = e2
% 37.94/10.67 |
% 37.94/10.67 | Equations (1129) can reduce 1106 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1106) ~ (all_0_86_86 = e2)
% 37.94/10.67 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1128), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1133) all_0_83_83 = e1
% 37.94/10.67 |
% 37.94/10.67 | Equations (1133) can reduce 1088 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1088) ~ (all_0_83_83 = e1)
% 37.94/10.67 | (1136) all_0_83_83 = e0
% 37.94/10.67 |
% 37.94/10.67 | From (1136) and (157) follows:
% 37.94/10.67 | (4200) op(e2, e0) = all_0_35_35
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (241), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (448) all_0_82_82 = e3
% 37.94/10.67 |
% 37.94/10.67 | Equations (448) can reduce 454 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (454) ~ (all_0_82_82 = e3)
% 37.94/10.67 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (1132), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (1143) all_0_86_86 = e1
% 37.94/10.67 |
% 37.94/10.67 | Equations (1143) can reduce 1090 to:
% 37.94/10.67 | (304) $false
% 37.94/10.67 |
% 37.94/10.67 |-The branch is then unsatisfiable
% 37.94/10.67 |-Branch two:
% 37.94/10.67 | (1090) ~ (all_0_86_86 = e1)
% 37.94/10.67 | (1146) all_0_86_86 = e0
% 37.94/10.67 |
% 37.94/10.67 | Equations (1146) can reduce 284 to:
% 37.94/10.67 | (486) ~ (all_0_82_82 = e0)
% 37.94/10.67 |
% 37.94/10.67 | Equations (1146) can reduce 1090 to:
% 37.94/10.67 | (1181) ~ (e1 = e0)
% 37.94/10.67 |
% 37.94/10.67 | Simplifying 1181 yields:
% 37.94/10.67 | (69) ~ (e1 = e0)
% 37.94/10.67 |
% 37.94/10.67 | From (1146) and (3262) follows:
% 37.94/10.67 | (1357) op(e0, e3) = e0
% 37.94/10.67 |
% 37.94/10.67 | From (1146) and (246) follows:
% 37.94/10.67 | (1148) op(e0, e2) = all_0_65_65
% 37.94/10.67 |
% 37.94/10.67 | From (1146) and (257) follows:
% 37.94/10.67 | (4214) op(e3, e0) = all_0_22_22
% 37.94/10.67 |
% 37.94/10.67 | From (1146) and (232) follows:
% 37.94/10.67 | (4215) op(e2, e0) = all_0_38_38
% 37.94/10.67 |
% 37.94/10.67 +-Applying beta-rule and splitting (853), into two cases.
% 37.94/10.67 |-Branch one:
% 37.94/10.67 | (417) all_0_82_82 = e2
% 37.94/10.67 |
% 37.94/10.67 | From (417) and (216) follows:
% 37.94/10.67 | (4217) op(e2, e1) = all_0_50_50
% 37.94/10.67 |
% 37.94/10.67 | From (417) and (136) follows:
% 37.94/10.67 | (4218) op(e2, e0) = all_0_51_51
% 37.94/10.67 |
% 37.94/10.67 | From (417) and (154) follows:
% 37.94/10.67 | (4219) op(e1, e2) = all_0_50_50
% 37.94/10.67 |
% 37.94/10.67 | From (417) and (7) follows:
% 37.94/10.67 | (4220) op(e0, e2) = all_0_66_66
% 37.94/10.67 |
% 37.94/10.67 | Instantiating formula (268) with e3, e0, all_0_22_22, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = all_0_22_22, yields:
% 37.94/10.67 | (3846) all_0_12_12 = all_0_22_22
% 37.94/10.67 |
% 37.94/10.67 | Instantiating formula (268) with e3, e0, all_0_35_35, all_0_22_22 and discharging atoms op(e3, e0) = all_0_22_22, op(e3, e0) = all_0_35_35, yields:
% 37.94/10.67 | (4222) all_0_22_22 = all_0_35_35
% 37.94/10.67 |
% 37.94/10.67 | Instantiating formula (268) with e3, e0, all_0_59_59, all_0_22_22 and discharging atoms op(e3, e0) = all_0_22_22, op(e3, e0) = all_0_59_59, yields:
% 37.94/10.67 | (4223) all_0_22_22 = all_0_59_59
% 37.94/10.67 |
% 37.94/10.67 | Instantiating formula (268) with e2, e1, all_0_50_50, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = all_0_50_50, yields:
% 37.94/10.68 | (4224) all_0_38_38 = all_0_50_50
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e2, e1, all_0_62_62, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = all_0_62_62, yields:
% 37.94/10.68 | (4225) all_0_38_38 = all_0_62_62
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e2, e0, all_0_35_35, all_0_25_25 and discharging atoms op(e2, e0) = all_0_25_25, op(e2, e0) = all_0_35_35, yields:
% 37.94/10.68 | (4226) all_0_25_25 = all_0_35_35
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e2, e0, all_0_38_38, all_0_25_25 and discharging atoms op(e2, e0) = all_0_25_25, op(e2, e0) = all_0_38_38, yields:
% 37.94/10.68 | (4227) all_0_25_25 = all_0_38_38
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e2, e0, all_0_51_51, all_0_35_35 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_51_51, yields:
% 37.94/10.68 | (4228) all_0_35_35 = all_0_51_51
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e2, e0, all_0_63_63, all_0_51_51 and discharging atoms op(e2, e0) = all_0_51_51, op(e2, e0) = all_0_63_63, yields:
% 37.94/10.68 | (3853) all_0_51_51 = all_0_63_63
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e1, e2, all_0_47_47, e3 and discharging atoms op(e1, e2) = all_0_47_47, op(e1, e2) = e3, yields:
% 37.94/10.68 | (1615) all_0_47_47 = e3
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e1, e2, all_0_50_50, all_0_47_47 and discharging atoms op(e1, e2) = all_0_47_47, op(e1, e2) = all_0_50_50, yields:
% 37.94/10.68 | (4231) all_0_47_47 = all_0_50_50
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e1, e2, all_0_53_53, all_0_50_50 and discharging atoms op(e1, e2) = all_0_50_50, op(e1, e2) = all_0_53_53, yields:
% 37.94/10.68 | (4232) all_0_50_50 = all_0_53_53
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e0, e3, e1, all_0_12_12 and discharging atoms op(e0, e3) = all_0_12_12, op(e0, e3) = e1, yields:
% 37.94/10.68 | (3468) all_0_12_12 = e1
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e0, e3, e0, all_0_62_62 and discharging atoms op(e0, e3) = all_0_62_62, op(e0, e3) = e0, yields:
% 37.94/10.68 | (2990) all_0_62_62 = e0
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e0, e2, all_0_66_66, all_0_63_63 and discharging atoms op(e0, e2) = all_0_63_63, op(e0, e2) = all_0_66_66, yields:
% 37.94/10.68 | (3854) all_0_63_63 = all_0_66_66
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e0, e2, all_0_66_66, all_0_65_65 and discharging atoms op(e0, e2) = all_0_65_65, op(e0, e2) = all_0_66_66, yields:
% 37.94/10.68 | (4236) all_0_65_65 = all_0_66_66
% 37.94/10.68 |
% 37.94/10.68 | Instantiating formula (268) with e0, e2, e2, all_0_65_65 and discharging atoms op(e0, e2) = all_0_65_65, op(e0, e2) = e2, yields:
% 37.94/10.68 | (1624) all_0_65_65 = e2
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (3846,3468) yields a new equation:
% 37.94/10.68 | (4238) all_0_22_22 = e1
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4238 yields:
% 37.94/10.68 | (4239) all_0_22_22 = e1
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4239,4222) yields a new equation:
% 37.94/10.68 | (4240) all_0_35_35 = e1
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4223,4222) yields a new equation:
% 37.94/10.68 | (1603) all_0_35_35 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4226,4227) yields a new equation:
% 37.94/10.68 | (4242) all_0_35_35 = all_0_38_38
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4242 yields:
% 37.94/10.68 | (2560) all_0_35_35 = all_0_38_38
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (1603,2560) yields a new equation:
% 37.94/10.68 | (4244) all_0_38_38 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4228,2560) yields a new equation:
% 37.94/10.68 | (4245) all_0_38_38 = all_0_51_51
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4240,2560) yields a new equation:
% 37.94/10.68 | (4246) all_0_38_38 = e1
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4225,4244) yields a new equation:
% 37.94/10.68 | (1591) all_0_59_59 = all_0_62_62
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4246,4244) yields a new equation:
% 37.94/10.68 | (4248) all_0_59_59 = e1
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4245,4244) yields a new equation:
% 37.94/10.68 | (4249) all_0_51_51 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4249 yields:
% 37.94/10.68 | (4250) all_0_51_51 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4224,4244) yields a new equation:
% 37.94/10.68 | (4251) all_0_50_50 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4251 yields:
% 37.94/10.68 | (4252) all_0_50_50 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4231,1615) yields a new equation:
% 37.94/10.68 | (4253) all_0_50_50 = e3
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4253 yields:
% 37.94/10.68 | (4254) all_0_50_50 = e3
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4252,4232) yields a new equation:
% 37.94/10.68 | (4255) all_0_53_53 = all_0_59_59
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4254,4232) yields a new equation:
% 37.94/10.68 | (1617) all_0_53_53 = e3
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (3853,4250) yields a new equation:
% 37.94/10.68 | (4257) all_0_59_59 = all_0_63_63
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4255,1617) yields a new equation:
% 37.94/10.68 | (4258) all_0_59_59 = e3
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 4258 yields:
% 37.94/10.68 | (4259) all_0_59_59 = e3
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (1591,4259) yields a new equation:
% 37.94/10.68 | (1612) all_0_62_62 = e3
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 1612 yields:
% 37.94/10.68 | (1195) all_0_62_62 = e3
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4257,4259) yields a new equation:
% 37.94/10.68 | (3865) all_0_63_63 = e3
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 3865 yields:
% 37.94/10.68 | (3866) all_0_63_63 = e3
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (4248,4259) yields a new equation:
% 37.94/10.68 | (1017) e3 = e1
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (1195,2990) yields a new equation:
% 37.94/10.68 | (1216) e3 = e0
% 37.94/10.68 |
% 37.94/10.68 | Simplifying 1216 yields:
% 37.94/10.68 | (1217) e3 = e0
% 37.94/10.68 |
% 37.94/10.68 | Combining equations (3854,3866) yields a new equation:
% 37.94/10.68 | (3868) all_0_66_66 = e3
% 37.94/10.68 |
% 37.94/10.69 | Simplifying 3868 yields:
% 37.94/10.69 | (3869) all_0_66_66 = e3
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (4236,1624) yields a new equation:
% 37.94/10.69 | (4269) all_0_66_66 = e2
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 4269 yields:
% 37.94/10.69 | (3855) all_0_66_66 = e2
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (3869,3855) yields a new equation:
% 37.94/10.69 | (1626) e3 = e2
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 1626 yields:
% 37.94/10.69 | (1215) e3 = e2
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (1017,1215) yields a new equation:
% 37.94/10.69 | (1219) e2 = e1
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (1217,1215) yields a new equation:
% 37.94/10.69 | (1221) e2 = e0
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (1219,1221) yields a new equation:
% 37.94/10.69 | (1632) e1 = e0
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 1632 yields:
% 37.94/10.69 | (1222) e1 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (1222) can reduce 69 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (427) ~ (all_0_82_82 = e2)
% 37.94/10.69 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (866), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (464) all_0_82_82 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (464) can reduce 470 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (470) ~ (all_0_82_82 = e1)
% 37.94/10.69 | (480) all_0_82_82 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (480) can reduce 486 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1498) ~ (all_0_85_85 = e2)
% 37.94/10.69 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1561), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1566) all_0_85_85 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (1566) can reduce 1540 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.69 | (1569) all_0_85_85 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (1569) can reduce 1941 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (730) ~ (all_0_79_79 = e2)
% 37.94/10.69 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (749), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (750) all_0_79_79 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (750) can reduce 731 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (731) ~ (all_0_79_79 = e1)
% 37.94/10.69 | (753) all_0_79_79 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (753) can reduce 745 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1059) ~ (all_0_84_84 = e3)
% 37.94/10.69 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1546), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1558) all_0_85_85 = e2
% 37.94/10.69 |
% 37.94/10.69 | Equations (1558) can reduce 81 to:
% 37.94/10.69 | (1050) ~ (all_0_84_84 = e2)
% 37.94/10.69 |
% 37.94/10.69 | Equations (1558) can reduce 130 to:
% 37.94/10.69 | (3585) ~ (all_0_86_86 = e2)
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 3585 yields:
% 37.94/10.69 | (1106) ~ (all_0_86_86 = e2)
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (123), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1114) all_0_86_86 = e3
% 37.94/10.69 |
% 37.94/10.69 | Equations (1114) can reduce 1061 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1061) ~ (all_0_86_86 = e3)
% 37.94/10.69 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1117), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1129) all_0_86_86 = e2
% 37.94/10.69 |
% 37.94/10.69 | Equations (1129) can reduce 1106 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1106) ~ (all_0_86_86 = e2)
% 37.94/10.69 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1132), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1143) all_0_86_86 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (1143) can reduce 1090 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1090) ~ (all_0_86_86 = e1)
% 37.94/10.69 | (1146) all_0_86_86 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (1146) can reduce 51 to:
% 37.94/10.69 | (1055) ~ (all_0_84_84 = e0)
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1661), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (618) all_0_84_84 = e2
% 37.94/10.69 |
% 37.94/10.69 | Equations (618) can reduce 1050 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1050) ~ (all_0_84_84 = e2)
% 37.94/10.69 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1673), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1085) all_0_84_84 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (1085) can reduce 1675 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1675) ~ (all_0_84_84 = e1)
% 37.94/10.69 | (1280) all_0_84_84 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (1280) can reduce 1055 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1498) ~ (all_0_85_85 = e2)
% 37.94/10.69 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1561), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1566) all_0_85_85 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (1566) can reduce 1540 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1540) ~ (all_0_85_85 = e1)
% 37.94/10.69 | (1569) all_0_85_85 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (1569) can reduce 1941 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (718) ~ (all_0_75_75 = e3)
% 37.94/10.69 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (719), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (736) all_0_75_75 = e2
% 37.94/10.69 |
% 37.94/10.69 | Equations (736) can reduce 645 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (645) ~ (all_0_75_75 = e2)
% 37.94/10.69 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (739), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (740) all_0_75_75 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (740) can reduce 728 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (728) ~ (all_0_75_75 = e1)
% 37.94/10.69 | (743) all_0_75_75 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (743) can reduce 1030 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (466) ~ (all_0_77_77 = e1)
% 37.94/10.69 | (481) all_0_77_77 = e0
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (400,481) yields a new equation:
% 37.94/10.69 | (440) unit = e0
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 440 yields:
% 37.94/10.69 | (441) unit = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (441) can reduce 402 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (1365) all_0_8_8 = e1
% 37.94/10.69 | (419) ~ (all_0_72_72 = e2)
% 37.94/10.69 |
% 37.94/10.69 | Equations (413) can reduce 419 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (419) ~ (all_0_72_72 = e2)
% 37.94/10.69 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (433), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (434) all_0_72_72 = e1
% 37.94/10.69 |
% 37.94/10.69 | Equations (434) can reduce 403 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (403) ~ (all_0_72_72 = e1)
% 37.94/10.69 | (439) all_0_72_72 = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (439) can reduce 401 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (439) all_0_72_72 = e0
% 37.94/10.69 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 37.94/10.69 |
% 37.94/10.69 | Equations (439) can reduce 515 to:
% 37.94/10.69 | (1031) ~ (unit = e0)
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 1031 yields:
% 37.94/10.69 | (402) ~ (unit = e0)
% 37.94/10.69 |
% 37.94/10.69 | From (439) and (4) follows:
% 37.94/10.69 | (591) op(e0, e3) = all_0_8_8
% 37.94/10.69 |
% 37.94/10.69 | From (439) and (128) follows:
% 37.94/10.69 | (593) op(e0, e0) = all_0_11_11
% 37.94/10.69 |
% 37.94/10.69 | From (439) and (2) follows:
% 37.94/10.69 | (594) op(e3, e0) = all_0_8_8
% 37.94/10.69 |
% 37.94/10.69 | From (439) and (196) follows:
% 37.94/10.69 | (596) op(e0, e0) = all_0_56_56
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 37.94/10.69 | (597) all_0_8_8 = all_0_75_75
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 37.94/10.69 | (599) all_0_8_8 = all_0_84_84
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e0, e0, all_0_11_11, unit and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = unit, yields:
% 37.94/10.69 | (601) all_0_11_11 = unit
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 37.94/10.69 | (602) all_0_11_11 = all_0_56_56
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (597,599) yields a new equation:
% 37.94/10.69 | (603) all_0_75_75 = all_0_84_84
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 603 yields:
% 37.94/10.69 | (604) all_0_75_75 = all_0_84_84
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (601,602) yields a new equation:
% 37.94/10.69 | (605) all_0_56_56 = unit
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (605,602) yields a new equation:
% 37.94/10.69 | (601) all_0_11_11 = unit
% 37.94/10.69 |
% 37.94/10.69 | From (599) and (1287) follows:
% 37.94/10.69 | (1391) op(all_0_84_84, e3) = e0
% 37.94/10.69 |
% 37.94/10.69 | From (604) and (15) follows:
% 37.94/10.69 | (1392) op(all_0_84_84, e3) = all_0_20_20
% 37.94/10.69 |
% 37.94/10.69 | From (604)(601) and (100) follows:
% 37.94/10.69 | (1067) op(e3, all_0_84_84) = unit
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with all_0_84_84, e3, e0, all_0_20_20 and discharging atoms op(all_0_84_84, e3) = all_0_20_20, op(all_0_84_84, e3) = e0, yields:
% 37.94/10.69 | (1394) all_0_20_20 = e0
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e3, all_0_84_84, unit, all_0_20_20 and discharging atoms op(e3, all_0_84_84) = all_0_20_20, op(e3, all_0_84_84) = unit, yields:
% 37.94/10.69 | (1395) all_0_20_20 = unit
% 37.94/10.69 |
% 37.94/10.69 | Combining equations (1395,1394) yields a new equation:
% 37.94/10.69 | (440) unit = e0
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 440 yields:
% 37.94/10.69 | (441) unit = e0
% 37.94/10.69 |
% 37.94/10.69 | Equations (441) can reduce 402 to:
% 37.94/10.69 | (304) $false
% 37.94/10.69 |
% 37.94/10.69 |-The branch is then unsatisfiable
% 37.94/10.69 |-Branch two:
% 37.94/10.69 | (434) all_0_72_72 = e1
% 37.94/10.69 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 37.94/10.69 |
% 37.94/10.69 | Equations (434) can reduce 515 to:
% 37.94/10.69 | (928) ~ (unit = e1)
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 928 yields:
% 37.94/10.69 | (404) ~ (unit = e1)
% 37.94/10.69 |
% 37.94/10.69 | From (434) and (4) follows:
% 37.94/10.69 | (816) op(e1, e3) = all_0_8_8
% 37.94/10.69 |
% 37.94/10.69 | From (434) and (3266) follows:
% 37.94/10.69 | (3364) op(e1, e1) = e3
% 37.94/10.69 |
% 37.94/10.69 +-Applying beta-rule and splitting (1286), into two cases.
% 37.94/10.69 |-Branch one:
% 37.94/10.69 | (1039) ~ (all_0_8_8 = e2)
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 37.94/10.69 | (652) all_0_8_8 = unit
% 37.94/10.69 |
% 37.94/10.69 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 37.94/10.69 | (448) all_0_82_82 = e3
% 37.94/10.69 |
% 37.94/10.69 | Equations (652) can reduce 1039 to:
% 37.94/10.69 | (622) ~ (unit = e2)
% 37.94/10.69 |
% 37.94/10.69 | Equations (448) can reduce 3146 to:
% 37.94/10.69 | (607) ~ (unit = e3)
% 37.94/10.69 |
% 37.94/10.69 | Simplifying 607 yields:
% 37.94/10.69 | (406) ~ (unit = e3)
% 37.94/10.69 |
% 37.94/10.69 | From (652) and (1287) follows:
% 37.94/10.70 | (1313) op(unit, e3) = e0
% 37.94/10.70 |
% 37.94/10.70 | From (448) and (7) follows:
% 37.94/10.70 | (3382) op(e0, e3) = all_0_66_66
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (94), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (449) all_0_77_77 = e3
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (400,449) yields a new equation:
% 37.94/10.70 | (408) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 408 yields:
% 37.94/10.70 | (409) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Equations (409) can reduce 406 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (450) ~ (all_0_77_77 = e3)
% 37.94/10.70 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (400) can reduce 450 to:
% 37.94/10.70 | (406) ~ (unit = e3)
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (245), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (1015) all_0_80_80 = e3
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (1015,3134) yields a new equation:
% 37.94/10.70 | (409) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Equations (409) can reduce 406 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (1250) ~ (all_0_80_80 = e3)
% 37.94/10.70 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (3134) can reduce 1250 to:
% 37.94/10.70 | (406) ~ (unit = e3)
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (34), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (447) all_0_87_87 = e3
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (363,447) yields a new equation:
% 37.94/10.70 | (408) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 408 yields:
% 37.94/10.70 | (409) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Equations (409) can reduce 406 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (457) ~ (all_0_87_87 = e3)
% 37.94/10.70 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (363) can reduce 457 to:
% 37.94/10.70 | (406) ~ (unit = e3)
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (119), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (409) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Equations (409) can reduce 406 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (406) ~ (unit = e3)
% 37.94/10.70 | (871) unit = e2 | unit = e1 | unit = e0
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (11), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (691) all_0_74_74 = e3
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (3132,691) yields a new equation:
% 37.94/10.70 | (408) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 408 yields:
% 37.94/10.70 | (409) unit = e3
% 37.94/10.70 |
% 37.94/10.70 | Equations (409) can reduce 406 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (680) ~ (all_0_74_74 = e3)
% 37.94/10.70 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (3132) can reduce 680 to:
% 37.94/10.70 | (406) ~ (unit = e3)
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (1251), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (843) all_0_80_80 = e2
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (843,3134) yields a new equation:
% 37.94/10.70 | (415) unit = e2
% 37.94/10.70 |
% 37.94/10.70 | Equations (415) can reduce 622 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (1103) ~ (all_0_80_80 = e2)
% 37.94/10.70 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (1264), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (1013) all_0_80_80 = e1
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (1013,3134) yields a new equation:
% 37.94/10.70 | (436) unit = e1
% 37.94/10.70 |
% 37.94/10.70 | Equations (436) can reduce 404 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (1087) ~ (all_0_80_80 = e1)
% 37.94/10.70 | (1268) all_0_80_80 = e0
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (1268,3134) yields a new equation:
% 37.94/10.70 | (441) unit = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (441) can reduce 406 to:
% 37.94/10.70 | (1354) ~ (e3 = e0)
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 1354 yields:
% 37.94/10.70 | (46) ~ (e3 = e0)
% 37.94/10.70 |
% 37.94/10.70 | From (441) and (256) follows:
% 37.94/10.70 | (1356) op(e0, e3) = e3
% 37.94/10.70 |
% 37.94/10.70 | From (441) and (1313) follows:
% 37.94/10.70 | (1357) op(e0, e3) = e0
% 37.94/10.70 |
% 37.94/10.70 | Instantiating formula (268) with e0, e3, all_0_66_66, all_0_84_84 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = all_0_84_84, yields:
% 37.94/10.70 | (3385) all_0_66_66 = all_0_84_84
% 37.94/10.70 |
% 37.94/10.70 | Instantiating formula (268) with e0, e3, e3, all_0_66_66 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = e3, yields:
% 37.94/10.70 | (3869) all_0_66_66 = e3
% 37.94/10.70 |
% 37.94/10.70 | Instantiating formula (268) with e0, e3, e0, all_0_66_66 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = e0, yields:
% 37.94/10.70 | (333) all_0_66_66 = e0
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (3869,3385) yields a new equation:
% 37.94/10.70 | (1073) all_0_84_84 = e3
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (333,3385) yields a new equation:
% 37.94/10.70 | (1280) all_0_84_84 = e0
% 37.94/10.70 |
% 37.94/10.70 | Combining equations (1280,1073) yields a new equation:
% 37.94/10.70 | (1217) e3 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (1217) can reduce 46 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (1282) all_0_8_8 = e2
% 37.94/10.70 | (403) ~ (all_0_72_72 = e1)
% 37.94/10.70 |
% 37.94/10.70 | Equations (434) can reduce 403 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (502) ~ (all_0_5_5 = e2)
% 37.94/10.70 | (503) all_0_5_5 = e1 | all_0_5_5 = e0
% 37.94/10.70 |
% 37.94/10.70 +-Applying beta-rule and splitting (503), into two cases.
% 37.94/10.70 |-Branch one:
% 37.94/10.70 | (504) all_0_5_5 = e1
% 37.94/10.70 |
% 37.94/10.70 | Equations (504) can reduce 313 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (313) ~ (all_0_5_5 = e1)
% 37.94/10.70 | (507) all_0_5_5 = e0
% 37.94/10.70 |
% 37.94/10.70 | Equations (507) can reduce 298 to:
% 37.94/10.70 | (304) $false
% 37.94/10.70 |
% 37.94/10.70 |-The branch is then unsatisfiable
% 37.94/10.70 |-Branch two:
% 37.94/10.70 | (3099) all_0_6_6 = e0
% 37.94/10.70 | (356) all_0_7_7 = e1
% 37.94/10.70 |
% 37.94/10.70 | Equations (3099) can reduce 212 to:
% 37.94/10.70 | (360) ~ (all_0_4_4 = e0)
% 37.94/10.70 |
% 37.94/10.70 | Equations (356) can reduce 179 to:
% 37.94/10.70 | (312) ~ (all_0_4_4 = e1)
% 37.94/10.70 |
% 37.94/10.70 | Equations (3099) can reduce 277 to:
% 37.94/10.70 | (298) ~ (all_0_5_5 = e0)
% 37.94/10.70 |
% 37.94/10.70 | Equations (356) can reduce 105 to:
% 37.94/10.70 | (313) ~ (all_0_5_5 = e1)
% 37.94/10.70 |
% 37.94/10.70 | Equations (3099,356) can reduce 73 to:
% 37.94/10.70 | (1181) ~ (e1 = e0)
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 1181 yields:
% 37.94/10.70 | (69) ~ (e1 = e0)
% 37.94/10.70 |
% 37.94/10.70 | From (3099) and (114) follows:
% 37.94/10.70 | (4469) op(e1, e0) = unit
% 37.94/10.70 |
% 37.94/10.70 | From (356) and (243) follows:
% 37.94/10.70 | (4470) op(e0, e1) = unit
% 37.94/10.70 |
% 37.94/10.70 | Instantiating formula (268) with e1, e0, unit, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = unit, yields:
% 37.94/10.70 | (4471) all_0_83_83 = unit
% 37.94/10.70 |
% 37.94/10.70 | Instantiating formula (268) with e0, e1, unit, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = unit, yields:
% 37.94/10.70 | (4472) all_0_86_86 = unit
% 37.94/10.70 |
% 37.94/10.70 | Equations (4472) can reduce 284 to:
% 37.94/10.70 | (3146) ~ (all_0_82_82 = unit)
% 37.94/10.70 |
% 37.94/10.70 | Equations (4472) can reduce 234 to:
% 37.94/10.70 | (1741) ~ (all_0_87_87 = unit)
% 37.94/10.70 |
% 37.94/10.70 | Simplifying 1741 yields:
% 37.94/10.70 | (1742) ~ (all_0_87_87 = unit)
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (193) follows:
% 37.94/10.70 | (4476) op(unit, e3) = all_0_52_52
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (195) follows:
% 37.94/10.70 | (4477) op(unit, e2) = all_0_53_53
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (155) follows:
% 37.94/10.70 | (4478) op(unit, e1) = all_0_54_54
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (177) follows:
% 37.94/10.70 | (4479) op(unit, e0) = all_0_55_55
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (253) follows:
% 37.94/10.70 | (4480) op(unit, e3) = all_0_64_64
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (246) follows:
% 37.94/10.70 | (4481) op(unit, e2) = all_0_65_65
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (5) follows:
% 37.94/10.70 | (4482) op(unit, e1) = all_0_66_66
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (250) follows:
% 37.94/10.70 | (4483) op(unit, e0) = all_0_67_67
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (144) follows:
% 37.94/10.70 | (4484) op(e3, unit) = all_0_19_19
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (257) follows:
% 37.94/10.70 | (4485) op(e3, unit) = all_0_22_22
% 37.94/10.70 |
% 37.94/10.70 | From (4471) and (157) follows:
% 37.94/10.70 | (4486) op(e2, unit) = all_0_35_35
% 37.94/10.70 |
% 37.94/10.70 | From (4472) and (232) follows:
% 37.94/10.71 | (4487) op(e2, unit) = all_0_38_38
% 37.94/10.71 |
% 37.94/10.71 | From (4471) and (271) follows:
% 37.94/10.71 | (4488) op(e1, unit) = all_0_51_51
% 37.94/10.71 |
% 37.94/10.71 | From (4472) and (172) follows:
% 37.94/10.71 | (4489) op(e1, unit) = all_0_54_54
% 37.94/10.71 |
% 37.94/10.71 | From (4471) and (16) follows:
% 37.94/10.71 | (4490) op(e0, unit) = all_0_67_67
% 37.94/10.71 |
% 37.94/10.71 | From (4472) and (138) follows:
% 37.94/10.71 | (4491) op(e0, unit) = all_0_70_70
% 37.94/10.71 |
% 37.94/10.71 | From (4472) and (223) follows:
% 37.94/10.71 | (4470) op(e0, e1) = unit
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e3, all_0_52_52, e3 and discharging atoms op(unit, e3) = all_0_52_52, op(unit, e3) = e3, yields:
% 37.94/10.71 | (4493) all_0_52_52 = e3
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e3, all_0_64_64, all_0_52_52 and discharging atoms op(unit, e3) = all_0_52_52, op(unit, e3) = all_0_64_64, yields:
% 37.94/10.71 | (4494) all_0_52_52 = all_0_64_64
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e2, all_0_53_53, e2 and discharging atoms op(unit, e2) = all_0_53_53, op(unit, e2) = e2, yields:
% 37.94/10.71 | (4495) all_0_53_53 = e2
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e2, all_0_65_65, all_0_53_53 and discharging atoms op(unit, e2) = all_0_53_53, op(unit, e2) = all_0_65_65, yields:
% 37.94/10.71 | (1192) all_0_53_53 = all_0_65_65
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e1, all_0_66_66, all_0_54_54 and discharging atoms op(unit, e1) = all_0_54_54, op(unit, e1) = all_0_66_66, yields:
% 37.94/10.71 | (4497) all_0_54_54 = all_0_66_66
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e0, all_0_55_55, e0 and discharging atoms op(unit, e0) = all_0_55_55, op(unit, e0) = e0, yields:
% 37.94/10.71 | (4498) all_0_55_55 = e0
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with unit, e0, all_0_67_67, all_0_55_55 and discharging atoms op(unit, e0) = all_0_55_55, op(unit, e0) = all_0_67_67, yields:
% 37.94/10.71 | (4499) all_0_55_55 = all_0_67_67
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e3, unit, all_0_19_19, e3 and discharging atoms op(e3, unit) = all_0_19_19, op(e3, unit) = e3, yields:
% 37.94/10.71 | (2971) all_0_19_19 = e3
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e3, unit, all_0_22_22, all_0_19_19 and discharging atoms op(e3, unit) = all_0_19_19, op(e3, unit) = all_0_22_22, yields:
% 37.94/10.71 | (4501) all_0_19_19 = all_0_22_22
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e2, unit, all_0_35_35, e2 and discharging atoms op(e2, unit) = all_0_35_35, op(e2, unit) = e2, yields:
% 37.94/10.71 | (1604) all_0_35_35 = e2
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e2, unit, all_0_38_38, all_0_35_35 and discharging atoms op(e2, unit) = all_0_35_35, op(e2, unit) = all_0_38_38, yields:
% 37.94/10.71 | (2560) all_0_35_35 = all_0_38_38
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e1, unit, all_0_51_51, e1 and discharging atoms op(e1, unit) = all_0_51_51, op(e1, unit) = e1, yields:
% 37.94/10.71 | (4504) all_0_51_51 = e1
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e1, unit, all_0_54_54, all_0_51_51 and discharging atoms op(e1, unit) = all_0_51_51, op(e1, unit) = all_0_54_54, yields:
% 37.94/10.71 | (4505) all_0_51_51 = all_0_54_54
% 37.94/10.71 |
% 37.94/10.71 | Instantiating formula (268) with e0, unit, all_0_70_70, all_0_67_67 and discharging atoms op(e0, unit) = all_0_67_67, op(e0, unit) = all_0_70_70, yields:
% 37.94/10.71 | (4506) all_0_67_67 = all_0_70_70
% 37.94/10.71 |
% 37.94/10.71 | Combining equations (2971,4501) yields a new equation:
% 37.94/10.71 | (4507) all_0_22_22 = e3
% 37.94/10.71 |
% 37.94/10.71 | Combining equations (2560,1604) yields a new equation:
% 37.94/10.71 | (2582) all_0_38_38 = e2
% 37.94/10.71 |
% 37.94/10.71 | Simplifying 2582 yields:
% 37.94/10.71 | (2583) all_0_38_38 = e2
% 37.94/10.71 |
% 37.94/10.71 | Combining equations (4504,4505) yields a new equation:
% 37.94/10.71 | (4510) all_0_54_54 = e1
% 37.94/10.71 |
% 38.11/10.71 | Combining equations (4494,4493) yields a new equation:
% 38.11/10.71 | (4511) all_0_64_64 = e3
% 38.11/10.71 |
% 38.11/10.71 | Simplifying 4511 yields:
% 38.11/10.71 | (4512) all_0_64_64 = e3
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (4495,1192) yields a new equation:
% 38.11/10.71 | (1624) all_0_65_65 = e2
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (4497,4510) yields a new equation:
% 38.11/10.71 | (4514) all_0_66_66 = e1
% 38.11/10.71 |
% 38.11/10.71 | Simplifying 4514 yields:
% 38.11/10.71 | (3856) all_0_66_66 = e1
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (4498,4499) yields a new equation:
% 38.11/10.71 | (1623) all_0_67_67 = e0
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (4506,1623) yields a new equation:
% 38.11/10.71 | (4517) all_0_70_70 = e0
% 38.11/10.71 |
% 38.11/10.71 | Simplifying 4517 yields:
% 38.11/10.71 | (4518) all_0_70_70 = e0
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (1623,4499) yields a new equation:
% 38.11/10.71 | (4498) all_0_55_55 = e0
% 38.11/10.71 |
% 38.11/10.71 | Combining equations (1624,1192) yields a new equation:
% 38.11/10.71 | (4495) all_0_53_53 = e2
% 38.11/10.71 |
% 38.11/10.71 | From (1604) and (178) follows:
% 38.11/10.71 | (4521) op(all_0_78_78, e0) = e2
% 38.11/10.71 |
% 38.11/10.71 | From (1624) and (4481) follows:
% 38.11/10.71 | (226) op(unit, e2) = e2
% 38.11/10.71 |
% 38.11/10.71 | From (3856) and (4482) follows:
% 38.11/10.71 | (101) op(unit, e1) = e1
% 38.11/10.71 |
% 38.11/10.71 | From (1623) and (4483) follows:
% 38.11/10.71 | (124) op(unit, e0) = e0
% 38.11/10.71 |
% 38.11/10.71 | From (4507) and (4485) follows:
% 38.11/10.71 | (113) op(e3, unit) = e3
% 38.11/10.71 |
% 38.11/10.71 | From (2583) and (4487) follows:
% 38.11/10.71 | (104) op(e2, unit) = e2
% 38.11/10.71 |
% 38.11/10.71 | From (4493) and (251) follows:
% 38.11/10.71 | (4527) op(e1, all_0_84_84) = e3
% 38.11/10.71 |
% 38.11/10.71 | From (4495) and (36) follows:
% 38.11/10.71 | (4528) op(e1, all_0_85_85) = e2
% 38.11/10.71 |
% 38.11/10.71 | From (4498) and (203) follows:
% 38.11/10.72 | (4529) op(e1, all_0_87_87) = e0
% 38.11/10.72 |
% 38.11/10.72 | From (4510) and (4489) follows:
% 38.11/10.72 | (39) op(e1, unit) = e1
% 38.11/10.72 |
% 38.11/10.72 | From (4512) and (218) follows:
% 38.11/10.72 | (4531) op(e0, all_0_80_80) = e3
% 38.11/10.72 |
% 38.11/10.72 | From (1624) and (164) follows:
% 38.11/10.72 | (4532) op(e0, all_0_81_81) = e2
% 38.11/10.72 |
% 38.11/10.72 | From (3856) and (7) follows:
% 38.11/10.72 | (4533) op(e0, all_0_82_82) = e1
% 38.11/10.72 |
% 38.11/10.72 | From (4518) and (4491) follows:
% 38.11/10.72 | (8) op(e0, unit) = e0
% 38.11/10.72 |
% 38.11/10.72 +-Applying beta-rule and splitting (10), into two cases.
% 38.11/10.72 |-Branch one:
% 38.11/10.72 | (395) ~ (all_0_4_4 = e2)
% 38.11/10.72 |
% 38.11/10.72 +-Applying beta-rule and splitting (48), into two cases.
% 38.11/10.72 |-Branch one:
% 38.11/10.72 | (389) ~ (all_0_5_5 = e3)
% 38.11/10.72 |
% 38.11/10.72 +-Applying beta-rule and splitting (168), into two cases.
% 38.11/10.72 |-Branch one:
% 38.11/10.72 | (390) all_0_5_5 = e3
% 38.11/10.72 |
% 38.11/10.72 | Equations (390) can reduce 389 to:
% 38.11/10.72 | (304) $false
% 38.11/10.72 |
% 38.11/10.72 |-The branch is then unsatisfiable
% 38.11/10.72 |-Branch two:
% 38.11/10.72 | (389) ~ (all_0_5_5 = e3)
% 38.11/10.72 | (393) all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 38.11/10.72 |
% 38.11/10.72 +-Applying beta-rule and splitting (235), into two cases.
% 38.11/10.72 |-Branch one:
% 38.11/10.72 | (397) all_0_4_4 = e3
% 38.11/10.72 |
% 38.11/10.72 | From (397) and (289) follows:
% 38.11/10.72 | (398) op(e3, e3) = unit
% 38.11/10.72 |
% 38.11/10.72 +-Applying beta-rule and splitting (393), into two cases.
% 38.11/10.72 |-Branch one:
% 38.11/10.72 | (394) all_0_5_5 = e2
% 38.11/10.72 |
% 38.11/10.72 | From (394) and (197) follows:
% 38.11/10.72 | (396) op(e2, e2) = unit
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e3, e3, unit, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = unit, yields:
% 38.11/10.72 | (399) all_0_72_72 = unit
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e2, e2, unit, all_0_77_77 and discharging atoms op(e2, e2) = all_0_77_77, op(e2, e2) = unit, yields:
% 38.11/10.72 | (400) all_0_77_77 = unit
% 38.11/10.72 |
% 38.11/10.72 | Equations (399) can reduce 134 to:
% 38.11/10.72 | (516) ~ (all_0_74_74 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 516 yields:
% 38.11/10.72 | (517) ~ (all_0_74_74 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (399) can reduce 64 to:
% 38.11/10.72 | (518) ~ (all_0_75_75 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 518 yields:
% 38.11/10.72 | (519) ~ (all_0_75_75 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (399) can reduce 292 to:
% 38.11/10.72 | (530) ~ (all_0_80_80 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 530 yields:
% 38.11/10.72 | (531) ~ (all_0_80_80 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (399) can reduce 132 to:
% 38.11/10.72 | (532) ~ (all_0_84_84 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 532 yields:
% 38.11/10.72 | (533) ~ (all_0_84_84 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (400) can reduce 198 to:
% 38.11/10.72 | (526) ~ (all_0_78_78 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 526 yields:
% 38.11/10.72 | (527) ~ (all_0_78_78 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (400) can reduce 222 to:
% 38.11/10.72 | (528) ~ (all_0_79_79 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 528 yields:
% 38.11/10.72 | (529) ~ (all_0_79_79 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (400) can reduce 126 to:
% 38.11/10.72 | (520) ~ (all_0_81_81 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 520 yields:
% 38.11/10.72 | (521) ~ (all_0_81_81 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Equations (400) can reduce 85 to:
% 38.11/10.72 | (522) ~ (all_0_85_85 = unit)
% 38.11/10.72 |
% 38.11/10.72 | Simplifying 522 yields:
% 38.11/10.72 | (523) ~ (all_0_85_85 = unit)
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (4) follows:
% 38.11/10.72 | (4563) op(unit, e3) = all_0_8_8
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (35) follows:
% 38.11/10.72 | (4564) op(unit, e1) = all_0_10_10
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (128) follows:
% 38.11/10.72 | (4565) op(unit, e0) = all_0_11_11
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (45) follows:
% 38.11/10.72 | (1747) op(unit, e3) = all_0_28_28
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (247) follows:
% 38.11/10.72 | (1748) op(unit, e2) = all_0_29_29
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (80) follows:
% 38.11/10.72 | (1749) op(unit, e1) = all_0_30_30
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (200) follows:
% 38.11/10.72 | (1750) op(unit, e0) = all_0_31_31
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (2) follows:
% 38.11/10.72 | (4570) op(e3, unit) = all_0_8_8
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (108) follows:
% 38.11/10.72 | (3167) op(e3, unit) = all_0_13_13
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (149) follows:
% 38.11/10.72 | (4572) op(e2, unit) = all_0_24_24
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (14) follows:
% 38.11/10.72 | (1757) op(e2, unit) = all_0_29_29
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (82) follows:
% 38.11/10.72 | (4574) op(e1, unit) = all_0_40_40
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (47) follows:
% 38.11/10.72 | (4575) op(e1, unit) = all_0_45_45
% 38.11/10.72 |
% 38.11/10.72 | From (399) and (196) follows:
% 38.11/10.72 | (4576) op(e0, unit) = all_0_56_56
% 38.11/10.72 |
% 38.11/10.72 | From (400) and (220) follows:
% 38.11/10.72 | (3177) op(e0, unit) = all_0_61_61
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with unit, e3, all_0_28_28, all_0_8_8 and discharging atoms op(unit, e3) = all_0_8_8, op(unit, e3) = all_0_28_28, yields:
% 38.11/10.72 | (4578) all_0_8_8 = all_0_28_28
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with unit, e1, all_0_10_10, e1 and discharging atoms op(unit, e1) = all_0_10_10, op(unit, e1) = e1, yields:
% 38.11/10.72 | (4579) all_0_10_10 = e1
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with unit, e1, all_0_30_30, all_0_10_10 and discharging atoms op(unit, e1) = all_0_10_10, op(unit, e1) = all_0_30_30, yields:
% 38.11/10.72 | (4580) all_0_10_10 = all_0_30_30
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with unit, e0, all_0_11_11, e0 and discharging atoms op(unit, e0) = all_0_11_11, op(unit, e0) = e0, yields:
% 38.11/10.72 | (4581) all_0_11_11 = e0
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with unit, e0, all_0_31_31, all_0_11_11 and discharging atoms op(unit, e0) = all_0_11_11, op(unit, e0) = all_0_31_31, yields:
% 38.11/10.72 | (4582) all_0_11_11 = all_0_31_31
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e3, unit, all_0_8_8, e3 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = e3, yields:
% 38.11/10.72 | (4583) all_0_8_8 = e3
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e3, unit, all_0_13_13, all_0_8_8 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = all_0_13_13, yields:
% 38.11/10.72 | (4584) all_0_8_8 = all_0_13_13
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e2, unit, all_0_24_24, e2 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = e2, yields:
% 38.11/10.72 | (4585) all_0_24_24 = e2
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e2, unit, all_0_29_29, all_0_24_24 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = all_0_29_29, yields:
% 38.11/10.72 | (4586) all_0_24_24 = all_0_29_29
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e1, unit, all_0_40_40, e1 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = e1, yields:
% 38.11/10.72 | (4587) all_0_40_40 = e1
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e1, unit, all_0_45_45, all_0_40_40 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = all_0_45_45, yields:
% 38.11/10.72 | (4588) all_0_40_40 = all_0_45_45
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e0, unit, all_0_56_56, e0 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = e0, yields:
% 38.11/10.72 | (4589) all_0_56_56 = e0
% 38.11/10.72 |
% 38.11/10.72 | Instantiating formula (268) with e0, unit, all_0_61_61, all_0_56_56 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = all_0_61_61, yields:
% 38.11/10.72 | (4590) all_0_56_56 = all_0_61_61
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4578,4584) yields a new equation:
% 38.11/10.72 | (4591) all_0_13_13 = all_0_28_28
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4583,4584) yields a new equation:
% 38.11/10.72 | (3194) all_0_13_13 = e3
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4579,4580) yields a new equation:
% 38.11/10.72 | (1767) all_0_30_30 = e1
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4581,4582) yields a new equation:
% 38.11/10.72 | (1784) all_0_31_31 = e0
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (3194,4591) yields a new equation:
% 38.11/10.72 | (1762) all_0_28_28 = e3
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4585,4586) yields a new equation:
% 38.11/10.72 | (1795) all_0_29_29 = e2
% 38.11/10.72 |
% 38.11/10.72 | Combining equations (4588,4587) yields a new equation:
% 38.11/10.73 | (4597) all_0_45_45 = e1
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 4597 yields:
% 38.11/10.73 | (4598) all_0_45_45 = e1
% 38.11/10.73 |
% 38.11/10.73 | Combining equations (4589,4590) yields a new equation:
% 38.11/10.73 | (1360) all_0_61_61 = e0
% 38.11/10.73 |
% 38.11/10.73 | Combining equations (1762,4591) yields a new equation:
% 38.11/10.73 | (3194) all_0_13_13 = e3
% 38.11/10.73 |
% 38.11/10.73 | From (1360) and (186) follows:
% 38.11/10.73 | (3261) op(all_0_85_85, e2) = e0
% 38.11/10.73 |
% 38.11/10.73 | From (1762) and (1747) follows:
% 38.11/10.73 | (256) op(unit, e3) = e3
% 38.11/10.73 |
% 38.11/10.73 | From (1795) and (1748) follows:
% 38.11/10.73 | (226) op(unit, e2) = e2
% 38.11/10.73 |
% 38.11/10.73 | From (1767) and (1749) follows:
% 38.11/10.73 | (101) op(unit, e1) = e1
% 38.11/10.73 |
% 38.11/10.73 | From (1784) and (1750) follows:
% 38.11/10.73 | (124) op(unit, e0) = e0
% 38.11/10.73 |
% 38.11/10.73 | From (3194) and (3167) follows:
% 38.11/10.73 | (113) op(e3, unit) = e3
% 38.11/10.73 |
% 38.11/10.73 | From (1795) and (1757) follows:
% 38.11/10.73 | (104) op(e2, unit) = e2
% 38.11/10.73 |
% 38.11/10.73 | From (4598) and (4575) follows:
% 38.11/10.73 | (39) op(e1, unit) = e1
% 38.11/10.73 |
% 38.11/10.73 | From (1360) and (3177) follows:
% 38.11/10.73 | (8) op(e0, unit) = e0
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (211), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (4610) ~ (all_0_1_1 = e3)
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (148), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (4611) ~ (all_0_1_1 = e2)
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (147), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (419) ~ (all_0_72_72 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Equations (399) can reduce 419 to:
% 38.11/10.73 | (622) ~ (unit = e2)
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (24), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (407) all_0_72_72 = e3
% 38.11/10.73 |
% 38.11/10.73 | Combining equations (407,399) yields a new equation:
% 38.11/10.73 | (409) unit = e3
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 527 to:
% 38.11/10.73 | (657) ~ (all_0_78_78 = e3)
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 529 to:
% 38.11/10.73 | (659) ~ (all_0_79_79 = e3)
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 521 to:
% 38.11/10.73 | (1120) ~ (all_0_81_81 = e3)
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 3146 to:
% 38.11/10.73 | (454) ~ (all_0_82_82 = e3)
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 523 to:
% 38.11/10.73 | (1436) ~ (all_0_85_85 = e3)
% 38.11/10.73 |
% 38.11/10.73 | Equations (409) can reduce 1742 to:
% 38.11/10.73 | (457) ~ (all_0_87_87 = e3)
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (226) follows:
% 38.11/10.73 | (4622) op(e3, e2) = e2
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (101) follows:
% 38.11/10.73 | (4623) op(e3, e1) = e1
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (124) follows:
% 38.11/10.73 | (4624) op(e3, e0) = e0
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (104) follows:
% 38.11/10.73 | (2376) op(e2, e3) = e2
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (39) follows:
% 38.11/10.73 | (1010) op(e1, e3) = e1
% 38.11/10.73 |
% 38.11/10.73 | From (409) and (8) follows:
% 38.11/10.73 | (1357) op(e0, e3) = e0
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 38.11/10.73 | (884) all_0_73_73 = e2
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 38.11/10.73 | (707) all_0_74_74 = e1
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 38.11/10.73 | (743) all_0_75_75 = e0
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 38.11/10.73 | (761) all_0_76_76 = e2
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 38.11/10.73 | (1013) all_0_80_80 = e1
% 38.11/10.73 |
% 38.11/10.73 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 38.11/10.73 | (1280) all_0_84_84 = e0
% 38.11/10.73 |
% 38.11/10.73 | Equations (884) can reduce 185 to:
% 38.11/10.73 | (2453) ~ (all_0_81_81 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 2453 yields:
% 38.11/10.73 | (1104) ~ (all_0_81_81 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Equations (884) can reduce 296 to:
% 38.11/10.73 | (3583) ~ (all_0_85_85 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 3583 yields:
% 38.11/10.73 | (1498) ~ (all_0_85_85 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Equations (743) can reduce 118 to:
% 38.11/10.73 | (744) ~ (all_0_79_79 = e0)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 744 yields:
% 38.11/10.73 | (745) ~ (all_0_79_79 = e0)
% 38.11/10.73 |
% 38.11/10.73 | Equations (761) can reduce 297 to:
% 38.11/10.73 | (729) ~ (all_0_79_79 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 729 yields:
% 38.11/10.73 | (730) ~ (all_0_79_79 = e2)
% 38.11/10.73 |
% 38.11/10.73 | Equations (1013) can reduce 141 to:
% 38.11/10.73 | (4642) ~ (all_0_82_82 = e1)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 4642 yields:
% 38.11/10.73 | (470) ~ (all_0_82_82 = e1)
% 38.11/10.73 |
% 38.11/10.73 | Equations (1280) can reduce 81 to:
% 38.11/10.73 | (4105) ~ (all_0_85_85 = e0)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 4105 yields:
% 38.11/10.73 | (1941) ~ (all_0_85_85 = e0)
% 38.11/10.73 |
% 38.11/10.73 | Equations (1280) can reduce 191 to:
% 38.11/10.73 | (4646) ~ (all_0_87_87 = e0)
% 38.11/10.73 |
% 38.11/10.73 | Simplifying 4646 yields:
% 38.11/10.73 | (489) ~ (all_0_87_87 = e0)
% 38.11/10.73 |
% 38.11/10.73 | From (707) and (267) follows:
% 38.11/10.73 | (4648) op(e1, e2) = all_0_17_17
% 38.11/10.73 |
% 38.11/10.73 | From (1280) and (95) follows:
% 38.11/10.73 | (4649) op(e3, e0) = all_0_20_20
% 38.11/10.73 |
% 38.11/10.73 | From (884) and (42) follows:
% 38.11/10.73 | (4650) op(e2, e2) = all_0_25_25
% 38.11/10.73 |
% 38.11/10.73 | From (707) and (285) follows:
% 38.11/10.73 | (4651) op(e2, e1) = all_0_26_26
% 38.11/10.73 |
% 38.11/10.73 | From (1013) and (109) follows:
% 38.11/10.73 | (4652) op(e2, e1) = all_0_32_32
% 38.11/10.73 |
% 38.11/10.73 | From (884) and (63) follows:
% 38.11/10.73 | (4653) op(e1, e2) = all_0_41_41
% 38.11/10.73 |
% 38.11/10.73 | From (761) and (145) follows:
% 38.11/10.73 | (4654) op(e1, e2) = all_0_44_44
% 38.11/10.73 |
% 38.11/10.73 | From (707) and (291) follows:
% 38.11/10.73 | (4655) op(e0, e1) = all_0_58_58
% 38.11/10.73 |
% 38.11/10.73 | From (1013) and (4531) follows:
% 38.11/10.73 | (1094) op(e0, e1) = e3
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (23), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (600) all_0_85_85 = e3
% 38.11/10.73 |
% 38.11/10.73 | Equations (600) can reduce 1436 to:
% 38.11/10.73 | (304) $false
% 38.11/10.73 |
% 38.11/10.73 |-The branch is then unsatisfiable
% 38.11/10.73 |-Branch two:
% 38.11/10.73 | (1436) ~ (all_0_85_85 = e3)
% 38.11/10.73 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (176), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (825) all_0_81_81 = e3
% 38.11/10.73 |
% 38.11/10.73 | Equations (825) can reduce 1120 to:
% 38.11/10.73 | (304) $false
% 38.11/10.73 |
% 38.11/10.73 |-The branch is then unsatisfiable
% 38.11/10.73 |-Branch two:
% 38.11/10.73 | (1120) ~ (all_0_81_81 = e3)
% 38.11/10.73 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (1546), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (1558) all_0_85_85 = e2
% 38.11/10.73 |
% 38.11/10.73 | Equations (1558) can reduce 1498 to:
% 38.11/10.73 | (304) $false
% 38.11/10.73 |
% 38.11/10.73 |-The branch is then unsatisfiable
% 38.11/10.73 |-Branch two:
% 38.11/10.73 | (1498) ~ (all_0_85_85 = e2)
% 38.11/10.73 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (1561), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (1566) all_0_85_85 = e1
% 38.11/10.73 |
% 38.11/10.73 | Equations (1566) can reduce 281 to:
% 38.11/10.73 | (1227) ~ (all_0_81_81 = e1)
% 38.11/10.73 |
% 38.11/10.73 | From (1566) and (207) follows:
% 38.11/10.73 | (4671) op(e2, e1) = all_0_37_37
% 38.11/10.73 |
% 38.11/10.73 | From (1566) and (190) follows:
% 38.11/10.73 | (4672) op(e0, e1) = all_0_69_69
% 38.11/10.73 |
% 38.11/10.73 +-Applying beta-rule and splitting (1142), into two cases.
% 38.11/10.73 |-Branch one:
% 38.11/10.73 | (1155) all_0_81_81 = e2
% 38.11/10.73 |
% 38.11/10.74 | Equations (1155) can reduce 1104 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (1104) ~ (all_0_81_81 = e2)
% 38.11/10.74 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (1158), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (1163) all_0_81_81 = e1
% 38.11/10.74 |
% 38.11/10.74 | Equations (1163) can reduce 1227 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (1227) ~ (all_0_81_81 = e1)
% 38.11/10.74 | (1228) all_0_81_81 = e0
% 38.11/10.74 |
% 38.11/10.74 | Equations (1228) can reduce 276 to:
% 38.11/10.74 | (4681) ~ (all_0_82_82 = e0)
% 38.11/10.74 |
% 38.11/10.74 | Simplifying 4681 yields:
% 38.11/10.74 | (486) ~ (all_0_82_82 = e0)
% 38.11/10.74 |
% 38.11/10.74 | From (1228) and (127) follows:
% 38.11/10.74 | (4683) op(e0, e3) = all_0_44_44
% 38.11/10.74 |
% 38.11/10.74 | From (1228) and (224) follows:
% 38.11/10.74 | (4684) op(e0, e1) = all_0_46_46
% 38.11/10.74 |
% 38.11/10.74 | From (1228) and (206) follows:
% 38.11/10.74 | (4685) op(e3, e0) = all_0_17_17
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (241), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (448) all_0_82_82 = e3
% 38.11/10.74 |
% 38.11/10.74 | Equations (448) can reduce 454 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (454) ~ (all_0_82_82 = e3)
% 38.11/10.74 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (50), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (695) all_0_78_78 = e3
% 38.11/10.74 |
% 38.11/10.74 | Equations (695) can reduce 657 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (657) ~ (all_0_78_78 = e3)
% 38.11/10.74 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (853), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (417) all_0_82_82 = e2
% 38.11/10.74 |
% 38.11/10.74 | Equations (417) can reduce 6 to:
% 38.11/10.74 | (689) ~ (all_0_78_78 = e2)
% 38.11/10.74 |
% 38.11/10.74 | From (417) and (216) follows:
% 38.11/10.74 | (4217) op(e2, e1) = all_0_50_50
% 38.11/10.74 |
% 38.11/10.74 | From (417) and (112) follows:
% 38.11/10.74 | (4697) op(e2, e2) = all_0_34_34
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (184), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (598) all_0_79_79 = e3
% 38.11/10.74 |
% 38.11/10.74 | Equations (598) can reduce 659 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (659) ~ (all_0_79_79 = e3)
% 38.11/10.74 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (34), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (447) all_0_87_87 = e3
% 38.11/10.74 |
% 38.11/10.74 | Equations (447) can reduce 457 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (457) ~ (all_0_87_87 = e3)
% 38.11/10.74 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (735), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (687) all_0_79_79 = e2
% 38.11/10.74 |
% 38.11/10.74 | Equations (687) can reduce 730 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (730) ~ (all_0_79_79 = e2)
% 38.11/10.74 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (698), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (703) all_0_78_78 = e2
% 38.11/10.74 |
% 38.11/10.74 | Equations (703) can reduce 689 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (689) ~ (all_0_78_78 = e2)
% 38.11/10.74 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (627), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (416) all_0_87_87 = e2
% 38.11/10.74 |
% 38.11/10.74 | From (416) and (255) follows:
% 38.11/10.74 | (4715) op(e2, e2) = all_0_69_69
% 38.11/10.74 |
% 38.11/10.74 | From (416) and (103) follows:
% 38.11/10.74 | (4716) op(e2, e2) = all_0_39_39
% 38.11/10.74 |
% 38.11/10.74 | From (416) and (4529) follows:
% 38.11/10.74 | (3752) op(e1, e2) = e0
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (749), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (750) all_0_79_79 = e1
% 38.11/10.74 |
% 38.11/10.74 | Equations (750) can reduce 25 to:
% 38.11/10.74 | (709) ~ (all_0_78_78 = e1)
% 38.11/10.74 |
% 38.11/10.74 | From (750) and (131) follows:
% 38.11/10.74 | (4720) op(e1, e2) = all_0_37_37
% 38.11/10.74 |
% 38.11/10.74 | From (750) and (269) follows:
% 38.11/10.74 | (4721) op(e1, e0) = all_0_39_39
% 38.11/10.74 |
% 38.11/10.74 | From (750) and (111) follows:
% 38.11/10.74 | (4722) op(e0, e1) = all_0_63_63
% 38.11/10.74 |
% 38.11/10.74 +-Applying beta-rule and splitting (706), into two cases.
% 38.11/10.74 |-Branch one:
% 38.11/10.74 | (710) all_0_78_78 = e1
% 38.11/10.74 |
% 38.11/10.74 | Equations (710) can reduce 709 to:
% 38.11/10.74 | (304) $false
% 38.11/10.74 |
% 38.11/10.74 |-The branch is then unsatisfiable
% 38.11/10.74 |-Branch two:
% 38.11/10.74 | (709) ~ (all_0_78_78 = e1)
% 38.11/10.74 | (713) all_0_78_78 = e0
% 38.11/10.74 |
% 38.11/10.74 | From (713) and (79) follows:
% 38.11/10.74 | (4727) op(e0, e3) = all_0_32_32
% 38.11/10.74 |
% 38.11/10.74 | From (713) and (90) follows:
% 38.11/10.74 | (4728) op(e3, e0) = all_0_14_14
% 38.11/10.74 |
% 38.11/10.74 | From (713) and (162) follows:
% 38.11/10.74 | (4729) op(e1, e0) = all_0_46_46
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e3, e0, all_0_17_17, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_17_17, yields:
% 38.11/10.74 | (4730) all_0_14_14 = all_0_17_17
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 38.11/10.74 | (4731) all_0_14_14 = all_0_20_20
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e2, all_0_34_34, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_34_34, yields:
% 38.11/10.74 | (4732) all_0_25_25 = all_0_34_34
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e2, all_0_39_39, all_0_34_34 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = all_0_39_39, yields:
% 38.11/10.74 | (4733) all_0_34_34 = all_0_39_39
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e2, all_0_69_69, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_69_69, yields:
% 38.11/10.74 | (4734) all_0_25_25 = all_0_69_69
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 38.11/10.74 | (3199) all_0_26_26 = all_0_32_32
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e1, all_0_37_37, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_37_37, yields:
% 38.11/10.74 | (4736) all_0_26_26 = all_0_37_37
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e2, e1, all_0_50_50, all_0_32_32 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_50_50, yields:
% 38.11/10.74 | (4737) all_0_32_32 = all_0_50_50
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_41_41, yields:
% 38.11/10.74 | (4738) all_0_37_37 = all_0_41_41
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = all_0_44_44, yields:
% 38.11/10.74 | (4739) all_0_17_17 = all_0_44_44
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e1, e2, e0, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = e0, yields:
% 38.11/10.74 | (1595) all_0_17_17 = e0
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e1, e0, all_0_46_46, all_0_39_39 and discharging atoms op(e1, e0) = all_0_39_39, op(e1, e0) = all_0_46_46, yields:
% 38.11/10.74 | (4741) all_0_39_39 = all_0_46_46
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = all_0_44_44, yields:
% 38.11/10.74 | (4742) all_0_32_32 = all_0_44_44
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e0, e1, all_0_58_58, all_0_46_46 and discharging atoms op(e0, e1) = all_0_46_46, op(e0, e1) = all_0_58_58, yields:
% 38.11/10.74 | (4743) all_0_46_46 = all_0_58_58
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e0, e1, all_0_63_63, e3 and discharging atoms op(e0, e1) = all_0_63_63, op(e0, e1) = e3, yields:
% 38.11/10.74 | (3866) all_0_63_63 = e3
% 38.11/10.74 |
% 38.11/10.74 | Instantiating formula (268) with e0, e1, all_0_63_63, all_0_58_58 and discharging atoms op(e0, e1) = all_0_58_58, op(e0, e1) = all_0_63_63, yields:
% 38.11/10.74 | (4745) all_0_58_58 = all_0_63_63
% 38.11/10.74 |
% 38.11/10.74 | Combining equations (4730,4731) yields a new equation:
% 38.11/10.74 | (4746) all_0_17_17 = all_0_20_20
% 38.11/10.74 |
% 38.11/10.74 | Simplifying 4746 yields:
% 38.11/10.74 | (4747) all_0_17_17 = all_0_20_20
% 38.11/10.74 |
% 38.11/10.74 | Combining equations (4739,4747) yields a new equation:
% 38.11/10.74 | (4748) all_0_20_20 = all_0_44_44
% 38.11/10.74 |
% 38.11/10.74 | Combining equations (1595,4747) yields a new equation:
% 38.11/10.74 | (1394) all_0_20_20 = e0
% 38.11/10.74 |
% 38.11/10.74 | Combining equations (4748,1394) yields a new equation:
% 38.11/10.74 | (4750) all_0_44_44 = e0
% 38.11/10.74 |
% 38.11/10.74 | Simplifying 4750 yields:
% 38.11/10.75 | (4751) all_0_44_44 = e0
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4732,4734) yields a new equation:
% 38.11/10.75 | (4752) all_0_34_34 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4752 yields:
% 38.11/10.75 | (4753) all_0_34_34 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (3199,4736) yields a new equation:
% 38.11/10.75 | (4754) all_0_32_32 = all_0_37_37
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4754 yields:
% 38.11/10.75 | (4755) all_0_32_32 = all_0_37_37
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4737,4755) yields a new equation:
% 38.11/10.75 | (4756) all_0_37_37 = all_0_50_50
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4742,4755) yields a new equation:
% 38.11/10.75 | (4757) all_0_37_37 = all_0_44_44
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4733,4753) yields a new equation:
% 38.11/10.75 | (4758) all_0_39_39 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4758 yields:
% 38.11/10.75 | (4759) all_0_39_39 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4757,4738) yields a new equation:
% 38.11/10.75 | (4760) all_0_41_41 = all_0_44_44
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4756,4738) yields a new equation:
% 38.11/10.75 | (4761) all_0_41_41 = all_0_50_50
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4741,4759) yields a new equation:
% 38.11/10.75 | (4762) all_0_46_46 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4762 yields:
% 38.11/10.75 | (4763) all_0_46_46 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4760,4761) yields a new equation:
% 38.11/10.75 | (4764) all_0_44_44 = all_0_50_50
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4764 yields:
% 38.11/10.75 | (4765) all_0_44_44 = all_0_50_50
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4765,4751) yields a new equation:
% 38.11/10.75 | (4766) all_0_50_50 = e0
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4766 yields:
% 38.11/10.75 | (4767) all_0_50_50 = e0
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4743,4763) yields a new equation:
% 38.11/10.75 | (4768) all_0_58_58 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4768 yields:
% 38.11/10.75 | (4769) all_0_58_58 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (4745,4769) yields a new equation:
% 38.11/10.75 | (4770) all_0_63_63 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 4770 yields:
% 38.11/10.75 | (4771) all_0_63_63 = all_0_69_69
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (3866,4771) yields a new equation:
% 38.11/10.75 | (4772) all_0_69_69 = e3
% 38.11/10.75 |
% 38.11/10.75 | From (4767) and (30) follows:
% 38.11/10.75 | (4773) op(e0, e1) = all_0_1_1
% 38.11/10.75 |
% 38.11/10.75 | From (4772) and (4672) follows:
% 38.11/10.75 | (1094) op(e0, e1) = e3
% 38.11/10.75 |
% 38.11/10.75 | Instantiating formula (268) with e0, e1, all_0_1_1, e3 and discharging atoms op(e0, e1) = all_0_1_1, op(e0, e1) = e3, yields:
% 38.11/10.75 | (4775) all_0_1_1 = e3
% 38.11/10.75 |
% 38.11/10.75 | Equations (4775) can reduce 4610 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (731) ~ (all_0_79_79 = e1)
% 38.11/10.75 | (753) all_0_79_79 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (753) can reduce 745 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (430) ~ (all_0_87_87 = e2)
% 38.11/10.75 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 38.11/10.75 |
% 38.11/10.75 +-Applying beta-rule and splitting (749), into two cases.
% 38.11/10.75 |-Branch one:
% 38.11/10.75 | (750) all_0_79_79 = e1
% 38.11/10.75 |
% 38.11/10.75 | Equations (750) can reduce 146 to:
% 38.11/10.75 | (2928) ~ (all_0_87_87 = e1)
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 2928 yields:
% 38.11/10.75 | (473) ~ (all_0_87_87 = e1)
% 38.11/10.75 |
% 38.11/10.75 +-Applying beta-rule and splitting (632), into two cases.
% 38.11/10.75 |-Branch one:
% 38.11/10.75 | (463) all_0_87_87 = e1
% 38.11/10.75 |
% 38.11/10.75 | Equations (463) can reduce 473 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (473) ~ (all_0_87_87 = e1)
% 38.11/10.75 | (479) all_0_87_87 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (479) can reduce 489 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (731) ~ (all_0_79_79 = e1)
% 38.11/10.75 | (753) all_0_79_79 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (753) can reduce 745 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (427) ~ (all_0_82_82 = e2)
% 38.11/10.75 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.11/10.75 |
% 38.11/10.75 +-Applying beta-rule and splitting (866), into two cases.
% 38.11/10.75 |-Branch one:
% 38.11/10.75 | (464) all_0_82_82 = e1
% 38.11/10.75 |
% 38.11/10.75 | Equations (464) can reduce 470 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (470) ~ (all_0_82_82 = e1)
% 38.11/10.75 | (480) all_0_82_82 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (480) can reduce 486 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (1540) ~ (all_0_85_85 = e1)
% 38.11/10.75 | (1569) all_0_85_85 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (1569) can reduce 1941 to:
% 38.11/10.75 | (304) $false
% 38.11/10.75 |
% 38.11/10.75 |-The branch is then unsatisfiable
% 38.11/10.75 |-Branch two:
% 38.11/10.75 | (405) ~ (all_0_72_72 = e3)
% 38.11/10.75 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 38.11/10.75 |
% 38.11/10.75 | Equations (399) can reduce 405 to:
% 38.11/10.75 | (406) ~ (unit = e3)
% 38.11/10.75 |
% 38.11/10.75 +-Applying beta-rule and splitting (94), into two cases.
% 38.11/10.75 |-Branch one:
% 38.11/10.75 | (449) all_0_77_77 = e3
% 38.11/10.75 |
% 38.11/10.75 | Combining equations (400,449) yields a new equation:
% 38.11/10.75 | (408) unit = e3
% 38.11/10.75 |
% 38.11/10.75 | Simplifying 408 yields:
% 38.11/10.75 | (409) unit = e3
% 38.11/10.76 |
% 38.11/10.76 | Equations (409) can reduce 406 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (450) ~ (all_0_77_77 = e3)
% 38.11/10.76 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (400) can reduce 450 to:
% 38.11/10.76 | (406) ~ (unit = e3)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (119), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (409) unit = e3
% 38.11/10.76 |
% 38.11/10.76 | Equations (409) can reduce 406 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (406) ~ (unit = e3)
% 38.11/10.76 | (871) unit = e2 | unit = e1 | unit = e0
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (123), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (1114) all_0_86_86 = e3
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (1114,4472) yields a new equation:
% 38.11/10.76 | (409) unit = e3
% 38.11/10.76 |
% 38.11/10.76 | Equations (409) can reduce 406 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (1061) ~ (all_0_86_86 = e3)
% 38.11/10.76 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (4472) can reduce 1061 to:
% 38.11/10.76 | (406) ~ (unit = e3)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (151), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (1110) all_0_83_83 = e3
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (4471,1110) yields a new equation:
% 38.11/10.76 | (408) unit = e3
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 408 yields:
% 38.11/10.76 | (409) unit = e3
% 38.11/10.76 |
% 38.11/10.76 | Equations (409) can reduce 406 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (1058) ~ (all_0_83_83 = e3)
% 38.11/10.76 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (230), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (403) ~ (all_0_72_72 = e1)
% 38.11/10.76 |
% 38.11/10.76 | Equations (399) can reduce 403 to:
% 38.11/10.76 | (404) ~ (unit = e1)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (1113), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (1125) all_0_83_83 = e2
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (4471,1125) yields a new equation:
% 38.11/10.76 | (414) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 414 yields:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 622 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (1105) ~ (all_0_83_83 = e2)
% 38.11/10.76 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (4471) can reduce 1105 to:
% 38.11/10.76 | (622) ~ (unit = e2)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (871), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 622 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (622) ~ (unit = e2)
% 38.11/10.76 | (1271) unit = e1 | unit = e0
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (412), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (413) all_0_72_72 = e2
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (413,399) yields a new equation:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 622 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (419) ~ (all_0_72_72 = e2)
% 38.11/10.76 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (399) can reduce 419 to:
% 38.11/10.76 | (622) ~ (unit = e2)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (1117), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (1129) all_0_86_86 = e2
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (1129,4472) yields a new equation:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 622 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (1106) ~ (all_0_86_86 = e2)
% 38.11/10.76 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (4472) can reduce 1106 to:
% 38.11/10.76 | (622) ~ (unit = e2)
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (1169), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (418) all_0_77_77 = e2
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (400,418) yields a new equation:
% 38.11/10.76 | (414) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 414 yields:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 622 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (423) ~ (all_0_77_77 = e2)
% 38.11/10.76 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 38.11/10.76 |
% 38.11/10.76 +-Applying beta-rule and splitting (1176), into two cases.
% 38.11/10.76 |-Branch one:
% 38.11/10.76 | (465) all_0_77_77 = e1
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (400,465) yields a new equation:
% 38.11/10.76 | (435) unit = e1
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 435 yields:
% 38.11/10.76 | (436) unit = e1
% 38.11/10.76 |
% 38.11/10.76 | Equations (436) can reduce 404 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (466) ~ (all_0_77_77 = e1)
% 38.11/10.76 | (481) all_0_77_77 = e0
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (400,481) yields a new equation:
% 38.11/10.76 | (440) unit = e0
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 440 yields:
% 38.11/10.76 | (441) unit = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (441) can reduce 404 to:
% 38.11/10.76 | (1181) ~ (e1 = e0)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 1181 yields:
% 38.11/10.76 | (69) ~ (e1 = e0)
% 38.11/10.76 |
% 38.11/10.76 | From (441) and (101) follows:
% 38.11/10.76 | (2491) op(e0, e1) = e1
% 38.11/10.76 |
% 38.11/10.76 | From (441) and (4470) follows:
% 38.11/10.76 | (4871) op(e0, e1) = e0
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.11/10.76 | (1222) e1 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (1222) can reduce 69 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (434) all_0_72_72 = e1
% 38.11/10.76 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (434,399) yields a new equation:
% 38.11/10.76 | (436) unit = e1
% 38.11/10.76 |
% 38.11/10.76 | From (436) and (8) follows:
% 38.11/10.76 | (4871) op(e0, e1) = e0
% 38.11/10.76 |
% 38.11/10.76 | From (436) and (4470) follows:
% 38.11/10.76 | (2491) op(e0, e1) = e1
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.11/10.76 | (1222) e1 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (1222) can reduce 69 to:
% 38.11/10.76 | (304) $false
% 38.11/10.76 |
% 38.11/10.76 |-The branch is then unsatisfiable
% 38.11/10.76 |-Branch two:
% 38.11/10.76 | (413) all_0_72_72 = e2
% 38.11/10.76 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Combining equations (413,399) yields a new equation:
% 38.11/10.76 | (415) unit = e2
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 517 to:
% 38.11/10.76 | (643) ~ (all_0_74_74 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 519 to:
% 38.11/10.76 | (645) ~ (all_0_75_75 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 531 to:
% 38.11/10.76 | (1103) ~ (all_0_80_80 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 3146 to:
% 38.11/10.76 | (427) ~ (all_0_82_82 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 533 to:
% 38.11/10.76 | (1050) ~ (all_0_84_84 = e2)
% 38.11/10.76 |
% 38.11/10.76 | Equations (415) can reduce 1742 to:
% 38.11/10.76 | (430) ~ (all_0_87_87 = e2)
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (256) follows:
% 38.11/10.76 | (903) op(e2, e3) = e3
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (101) follows:
% 38.11/10.76 | (4891) op(e2, e1) = e1
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (124) follows:
% 38.11/10.76 | (4892) op(e2, e0) = e0
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (113) follows:
% 38.11/10.76 | (4893) op(e3, e2) = e3
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (39) follows:
% 38.11/10.76 | (4894) op(e1, e2) = e1
% 38.11/10.76 |
% 38.11/10.76 | From (415) and (8) follows:
% 38.11/10.76 | (1108) op(e0, e2) = e0
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e3, e2, e3, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e3, yields:
% 38.11/10.76 | (878) all_0_73_73 = e3
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 38.11/10.76 | (673) all_0_76_76 = e3
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e2, e1, e1, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e1, yields:
% 38.11/10.76 | (710) all_0_78_78 = e1
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e2, e0, e0, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e0, yields:
% 38.11/10.76 | (753) all_0_79_79 = e0
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e1, e2, e1, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e1, yields:
% 38.11/10.76 | (1163) all_0_81_81 = e1
% 38.11/10.76 |
% 38.11/10.76 | Instantiating formula (268) with e0, e2, e0, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e0, yields:
% 38.11/10.76 | (1569) all_0_85_85 = e0
% 38.11/10.76 |
% 38.11/10.76 | Equations (878) can reduce 199 to:
% 38.11/10.76 | (4902) ~ (all_0_74_74 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 4902 yields:
% 38.11/10.76 | (680) ~ (all_0_74_74 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Equations (878) can reduce 106 to:
% 38.11/10.76 | (4904) ~ (all_0_75_75 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 4904 yields:
% 38.11/10.76 | (718) ~ (all_0_75_75 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Equations (753) can reduce 118 to:
% 38.11/10.76 | (1030) ~ (all_0_75_75 = e0)
% 38.11/10.76 |
% 38.11/10.76 | Equations (673) can reduce 173 to:
% 38.11/10.76 | (1889) ~ (all_0_80_80 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 1889 yields:
% 38.11/10.76 | (1250) ~ (all_0_80_80 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Equations (673) can reduce 202 to:
% 38.11/10.76 | (4909) ~ (all_0_84_84 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 4909 yields:
% 38.11/10.76 | (1059) ~ (all_0_84_84 = e3)
% 38.11/10.76 |
% 38.11/10.76 | Equations (1163) can reduce 242 to:
% 38.11/10.76 | (1087) ~ (all_0_80_80 = e1)
% 38.11/10.76 |
% 38.11/10.76 | Equations (1163) can reduce 276 to:
% 38.11/10.76 | (4642) ~ (all_0_82_82 = e1)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 4642 yields:
% 38.11/10.76 | (470) ~ (all_0_82_82 = e1)
% 38.11/10.76 |
% 38.11/10.76 | Equations (1569) can reduce 156 to:
% 38.11/10.76 | (4646) ~ (all_0_87_87 = e0)
% 38.11/10.76 |
% 38.11/10.76 | Simplifying 4646 yields:
% 38.11/10.76 | (489) ~ (all_0_87_87 = e0)
% 38.11/10.76 |
% 38.11/10.76 | From (673) and (192) follows:
% 38.11/10.76 | (4916) op(e3, e1) = all_0_26_26
% 38.11/10.76 |
% 38.11/10.76 | From (710) and (79) follows:
% 38.11/10.77 | (4917) op(e1, e3) = all_0_32_32
% 38.11/10.77 |
% 38.11/10.77 | From (673) and (273) follows:
% 38.11/10.77 | (1893) op(e3, e3) = all_0_12_12
% 38.11/10.77 |
% 38.11/10.77 | From (710) and (90) follows:
% 38.11/10.77 | (4919) op(e3, e1) = all_0_14_14
% 38.11/10.77 |
% 38.11/10.77 | From (1163) and (206) follows:
% 38.11/10.77 | (1164) op(e3, e1) = all_0_17_17
% 38.11/10.77 |
% 38.11/10.77 | From (878) and (63) follows:
% 38.11/10.77 | (4921) op(e1, e3) = all_0_41_41
% 38.11/10.77 |
% 38.11/10.77 | From (673) and (145) follows:
% 38.11/10.77 | (4922) op(e1, e3) = all_0_44_44
% 38.11/10.77 |
% 38.11/10.77 | From (753) and (31) follows:
% 38.11/10.77 | (1553) op(e1, e0) = all_0_47_47
% 38.11/10.77 |
% 38.11/10.77 | From (1569) and (4528) follows:
% 38.11/10.77 | (4924) op(e1, e0) = e2
% 38.11/10.77 |
% 38.11/10.77 | From (710) and (228) follows:
% 38.11/10.77 | (1172) op(e0, e1) = all_0_62_62
% 38.11/10.77 |
% 38.11/10.77 | From (1569) and (72) follows:
% 38.11/10.77 | (1108) op(e0, e2) = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (74), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (679) all_0_75_75 = e3
% 38.11/10.77 |
% 38.11/10.77 | Equations (679) can reduce 718 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (718) ~ (all_0_75_75 = e3)
% 38.11/10.77 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (240), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (1073) all_0_84_84 = e3
% 38.11/10.77 |
% 38.11/10.77 | Equations (1073) can reduce 1059 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (1059) ~ (all_0_84_84 = e3)
% 38.11/10.77 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (719), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (736) all_0_75_75 = e2
% 38.11/10.77 |
% 38.11/10.77 | Equations (736) can reduce 645 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (645) ~ (all_0_75_75 = e2)
% 38.11/10.77 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (739), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (740) all_0_75_75 = e1
% 38.11/10.77 |
% 38.11/10.77 | Equations (740) can reduce 140 to:
% 38.11/10.77 | (715) ~ (all_0_74_74 = e1)
% 38.11/10.77 |
% 38.11/10.77 | Equations (740) can reduce 274 to:
% 38.11/10.77 | (2928) ~ (all_0_87_87 = e1)
% 38.11/10.77 |
% 38.11/10.77 | Simplifying 2928 yields:
% 38.11/10.77 | (473) ~ (all_0_87_87 = e1)
% 38.11/10.77 |
% 38.11/10.77 | From (740) and (15) follows:
% 38.11/10.77 | (4943) op(e1, e3) = all_0_20_20
% 38.11/10.77 |
% 38.11/10.77 | From (740) and (163) follows:
% 38.11/10.77 | (4944) op(e1, e0) = all_0_23_23
% 38.11/10.77 |
% 38.11/10.77 | From (740) and (282) follows:
% 38.11/10.77 | (4945) op(e0, e1) = all_0_59_59
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (34), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (447) all_0_87_87 = e3
% 38.11/10.77 |
% 38.11/10.77 | From (447) and (158) follows:
% 38.11/10.77 | (4947) op(e3, e3) = all_0_23_23
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (11), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (691) all_0_74_74 = e3
% 38.11/10.77 |
% 38.11/10.77 | Equations (691) can reduce 680 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (680) ~ (all_0_74_74 = e3)
% 38.11/10.77 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (245), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (1015) all_0_80_80 = e3
% 38.11/10.77 |
% 38.11/10.77 | Equations (1015) can reduce 1250 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (1250) ~ (all_0_80_80 = e3)
% 38.11/10.77 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (1661), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (618) all_0_84_84 = e2
% 38.11/10.77 |
% 38.11/10.77 | Equations (618) can reduce 1050 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (1050) ~ (all_0_84_84 = e2)
% 38.11/10.77 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (694), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (699) all_0_74_74 = e2
% 38.11/10.77 |
% 38.11/10.77 | Equations (699) can reduce 643 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (643) ~ (all_0_74_74 = e2)
% 38.11/10.77 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (1251), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (843) all_0_80_80 = e2
% 38.11/10.77 |
% 38.11/10.77 | Equations (843) can reduce 1103 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (1103) ~ (all_0_80_80 = e2)
% 38.11/10.77 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (1264), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (1013) all_0_80_80 = e1
% 38.11/10.77 |
% 38.11/10.77 | Equations (1013) can reduce 1087 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (1087) ~ (all_0_80_80 = e1)
% 38.11/10.77 | (1268) all_0_80_80 = e0
% 38.11/10.77 |
% 38.11/10.77 | Equations (1268) can reduce 279 to:
% 38.11/10.77 | (3539) ~ (all_0_84_84 = e0)
% 38.11/10.77 |
% 38.11/10.77 | Simplifying 3539 yields:
% 38.11/10.77 | (1055) ~ (all_0_84_84 = e0)
% 38.11/10.77 |
% 38.11/10.77 | From (1268) and (109) follows:
% 38.11/10.77 | (4974) op(e2, e0) = all_0_32_32
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (241), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (448) all_0_82_82 = e3
% 38.11/10.77 |
% 38.11/10.77 | From (448) and (76) follows:
% 38.11/10.77 | (4976) op(e3, e3) = all_0_48_48
% 38.11/10.77 |
% 38.11/10.77 | From (448) and (216) follows:
% 38.11/10.77 | (3377) op(e3, e1) = all_0_50_50
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (1673), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (1085) all_0_84_84 = e1
% 38.11/10.77 |
% 38.11/10.77 | From (1085) and (49) follows:
% 38.11/10.77 | (4979) op(e1, e0) = all_0_59_59
% 38.11/10.77 |
% 38.11/10.77 | From (1085) and (95) follows:
% 38.11/10.77 | (4980) op(e3, e1) = all_0_20_20
% 38.11/10.77 |
% 38.11/10.77 | From (1085) and (290) follows:
% 38.11/10.77 | (4981) op(e0, e1) = all_0_68_68
% 38.11/10.77 |
% 38.11/10.77 +-Applying beta-rule and splitting (702), into two cases.
% 38.11/10.77 |-Branch one:
% 38.11/10.77 | (707) all_0_74_74 = e1
% 38.11/10.77 |
% 38.11/10.77 | Equations (707) can reduce 715 to:
% 38.11/10.77 | (304) $false
% 38.11/10.77 |
% 38.11/10.77 |-The branch is then unsatisfiable
% 38.11/10.77 |-Branch two:
% 38.11/10.77 | (715) ~ (all_0_74_74 = e1)
% 38.11/10.77 | (716) all_0_74_74 = e0
% 38.11/10.77 |
% 38.11/10.77 | From (716) and (267) follows:
% 38.11/10.77 | (1477) op(e0, e2) = all_0_17_17
% 38.11/10.77 |
% 38.11/10.77 | From (716) and (261) follows:
% 38.11/10.77 | (4987) op(e0, e1) = all_0_18_18
% 38.11/10.77 |
% 38.11/10.77 | From (716) and (285) follows:
% 38.11/10.77 | (4988) op(e2, e0) = all_0_26_26
% 38.11/10.77 |
% 38.11/10.77 | From (716) and (98) follows:
% 38.11/10.77 | (1480) op(e1, e0) = all_0_42_42
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e3, e3, all_0_23_23, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_23_23, yields:
% 38.11/10.77 | (4990) all_0_12_12 = all_0_23_23
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e3, e3, all_0_48_48, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_48_48, yields:
% 38.11/10.77 | (4991) all_0_12_12 = all_0_48_48
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e3, e1, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = all_0_20_20, yields:
% 38.11/10.77 | (4747) all_0_17_17 = all_0_20_20
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e3, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_26_26, yields:
% 38.11/10.77 | (551) all_0_14_14 = all_0_26_26
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e3, e1, all_0_50_50, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_50_50, yields:
% 38.11/10.77 | (4994) all_0_14_14 = all_0_50_50
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e2, e0, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e0) = all_0_26_26, op(e2, e0) = all_0_32_32, yields:
% 38.11/10.77 | (3199) all_0_26_26 = all_0_32_32
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e1, e3, all_0_41_41, all_0_20_20 and discharging atoms op(e1, e3) = all_0_20_20, op(e1, e3) = all_0_41_41, yields:
% 38.11/10.77 | (4996) all_0_20_20 = all_0_41_41
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = all_0_44_44, yields:
% 38.11/10.77 | (4742) all_0_32_32 = all_0_44_44
% 38.11/10.77 |
% 38.11/10.77 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e3) = all_0_41_41, op(e1, e3) = all_0_44_44, yields:
% 38.35/10.77 | (4760) all_0_41_41 = all_0_44_44
% 38.35/10.77 |
% 38.35/10.77 | Instantiating formula (268) with e1, e0, all_0_42_42, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_42_42, yields:
% 38.35/10.77 | (4999) all_0_23_23 = all_0_42_42
% 38.35/10.77 |
% 38.35/10.77 | Instantiating formula (268) with e1, e0, all_0_47_47, e2 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = e2, yields:
% 38.35/10.77 | (2589) all_0_47_47 = e2
% 38.35/10.77 |
% 38.35/10.78 | Instantiating formula (268) with e1, e0, all_0_47_47, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_47_47, yields:
% 38.35/10.78 | (5001) all_0_23_23 = all_0_47_47
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e1, e0, all_0_59_59, all_0_47_47 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = all_0_59_59, yields:
% 38.35/10.78 | (5002) all_0_47_47 = all_0_59_59
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e0, e2, all_0_17_17, e0 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e0, yields:
% 38.35/10.78 | (1595) all_0_17_17 = e0
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e0, e1, all_0_62_62, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_62_62, yields:
% 38.35/10.78 | (5004) all_0_18_18 = all_0_62_62
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e0, e1, all_0_62_62, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = all_0_62_62, yields:
% 38.35/10.78 | (1591) all_0_59_59 = all_0_62_62
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e0, e1, all_0_68_68, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_68_68, yields:
% 38.35/10.78 | (5006) all_0_18_18 = all_0_68_68
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4991,4990) yields a new equation:
% 38.35/10.78 | (5007) all_0_23_23 = all_0_48_48
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4994,551) yields a new equation:
% 38.35/10.78 | (5008) all_0_26_26 = all_0_50_50
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4747,1595) yields a new equation:
% 38.35/10.78 | (5009) all_0_20_20 = e0
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 5009 yields:
% 38.35/10.78 | (1394) all_0_20_20 = e0
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5004,5006) yields a new equation:
% 38.35/10.78 | (5011) all_0_62_62 = all_0_68_68
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 5011 yields:
% 38.35/10.78 | (5012) all_0_62_62 = all_0_68_68
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4996,1394) yields a new equation:
% 38.35/10.78 | (5013) all_0_41_41 = e0
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 5013 yields:
% 38.35/10.78 | (5014) all_0_41_41 = e0
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5001,4999) yields a new equation:
% 38.35/10.78 | (1586) all_0_42_42 = all_0_47_47
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5007,4999) yields a new equation:
% 38.35/10.78 | (5016) all_0_42_42 = all_0_48_48
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5008,3199) yields a new equation:
% 38.35/10.78 | (4737) all_0_32_32 = all_0_50_50
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4742,4737) yields a new equation:
% 38.35/10.78 | (4764) all_0_44_44 = all_0_50_50
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 4764 yields:
% 38.35/10.78 | (4765) all_0_44_44 = all_0_50_50
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4760,5014) yields a new equation:
% 38.35/10.78 | (4750) all_0_44_44 = e0
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 4750 yields:
% 38.35/10.78 | (4751) all_0_44_44 = e0
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (1586,5016) yields a new equation:
% 38.35/10.78 | (5022) all_0_47_47 = all_0_48_48
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 5022 yields:
% 38.35/10.78 | (5023) all_0_47_47 = all_0_48_48
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (4751,4765) yields a new equation:
% 38.35/10.78 | (4767) all_0_50_50 = e0
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5002,5023) yields a new equation:
% 38.35/10.78 | (5025) all_0_48_48 = all_0_59_59
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (2589,5023) yields a new equation:
% 38.35/10.78 | (5026) all_0_48_48 = e2
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5025,5026) yields a new equation:
% 38.35/10.78 | (1606) all_0_59_59 = e2
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 1606 yields:
% 38.35/10.78 | (1607) all_0_59_59 = e2
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (1591,1607) yields a new equation:
% 38.35/10.78 | (1207) all_0_62_62 = e2
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 1207 yields:
% 38.35/10.78 | (1208) all_0_62_62 = e2
% 38.35/10.78 |
% 38.35/10.78 | Combining equations (5012,1208) yields a new equation:
% 38.35/10.78 | (5031) all_0_68_68 = e2
% 38.35/10.78 |
% 38.35/10.78 | Simplifying 5031 yields:
% 38.35/10.78 | (5032) all_0_68_68 = e2
% 38.35/10.78 |
% 38.35/10.78 | From (4767) and (30) follows:
% 38.35/10.78 | (4773) op(e0, e1) = all_0_1_1
% 38.35/10.78 |
% 38.35/10.78 | From (5032) and (4981) follows:
% 38.35/10.78 | (5034) op(e0, e1) = e2
% 38.35/10.78 |
% 38.35/10.78 | Instantiating formula (268) with e0, e1, all_0_1_1, e2 and discharging atoms op(e0, e1) = all_0_1_1, op(e0, e1) = e2, yields:
% 38.35/10.78 | (5035) all_0_1_1 = e2
% 38.35/10.78 |
% 38.35/10.78 | Equations (5035) can reduce 4611 to:
% 38.35/10.78 | (304) $false
% 38.35/10.78 |
% 38.35/10.78 |-The branch is then unsatisfiable
% 38.35/10.78 |-Branch two:
% 38.35/10.79 | (1675) ~ (all_0_84_84 = e1)
% 38.35/10.79 | (1280) all_0_84_84 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (1280) can reduce 1055 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.79 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (702), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (707) all_0_74_74 = e1
% 38.35/10.79 |
% 38.35/10.79 | Equations (707) can reduce 715 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (715) ~ (all_0_74_74 = e1)
% 38.35/10.79 | (716) all_0_74_74 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (716) can reduce 28 to:
% 38.35/10.79 | (4681) ~ (all_0_82_82 = e0)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 4681 yields:
% 38.35/10.79 | (486) ~ (all_0_82_82 = e0)
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (853), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (417) all_0_82_82 = e2
% 38.35/10.79 |
% 38.35/10.79 | Equations (417) can reduce 427 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.79 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (866), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (464) all_0_82_82 = e1
% 38.35/10.79 |
% 38.35/10.79 | Equations (464) can reduce 470 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.79 | (480) all_0_82_82 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (480) can reduce 486 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (457) ~ (all_0_87_87 = e3)
% 38.35/10.79 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (627), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (416) all_0_87_87 = e2
% 38.35/10.79 |
% 38.35/10.79 | Equations (416) can reduce 430 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (430) ~ (all_0_87_87 = e2)
% 38.35/10.79 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (632), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (463) all_0_87_87 = e1
% 38.35/10.79 |
% 38.35/10.79 | Equations (463) can reduce 473 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (473) ~ (all_0_87_87 = e1)
% 38.35/10.79 | (479) all_0_87_87 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (479) can reduce 489 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (728) ~ (all_0_75_75 = e1)
% 38.35/10.79 | (743) all_0_75_75 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (743) can reduce 1030 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (5035) all_0_1_1 = e2
% 38.35/10.79 | (5072) ~ (all_0_50_50 = e3) | ~ (all_0_82_82 = e0)
% 38.35/10.79 |
% 38.35/10.79 | From (5035) and (30) follows:
% 38.35/10.79 | (5073) op(all_0_50_50, e1) = e2
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (60), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (4611) ~ (all_0_1_1 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Equations (5035) can reduce 4611 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (5035) all_0_1_1 = e2
% 38.35/10.79 | (5077) ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e3)
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (230), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (403) ~ (all_0_72_72 = e1)
% 38.35/10.79 |
% 38.35/10.79 | Equations (399) can reduce 403 to:
% 38.35/10.79 | (404) ~ (unit = e1)
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (119), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (409) unit = e3
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 527 to:
% 38.35/10.79 | (657) ~ (all_0_78_78 = e3)
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 529 to:
% 38.35/10.79 | (659) ~ (all_0_79_79 = e3)
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 521 to:
% 38.35/10.79 | (1120) ~ (all_0_81_81 = e3)
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 3146 to:
% 38.35/10.79 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 523 to:
% 38.35/10.79 | (1436) ~ (all_0_85_85 = e3)
% 38.35/10.79 |
% 38.35/10.79 | Equations (409) can reduce 1742 to:
% 38.35/10.79 | (457) ~ (all_0_87_87 = e3)
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (226) follows:
% 38.35/10.79 | (4622) op(e3, e2) = e2
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (101) follows:
% 38.35/10.79 | (4623) op(e3, e1) = e1
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (124) follows:
% 38.35/10.79 | (4624) op(e3, e0) = e0
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (104) follows:
% 38.35/10.79 | (2376) op(e2, e3) = e2
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (39) follows:
% 38.35/10.79 | (1010) op(e1, e3) = e1
% 38.35/10.79 |
% 38.35/10.79 | From (409) and (8) follows:
% 38.35/10.79 | (1357) op(e0, e3) = e0
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 38.35/10.79 | (884) all_0_73_73 = e2
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 38.35/10.79 | (707) all_0_74_74 = e1
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 38.35/10.79 | (743) all_0_75_75 = e0
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 38.35/10.79 | (761) all_0_76_76 = e2
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 38.35/10.79 | (1013) all_0_80_80 = e1
% 38.35/10.79 |
% 38.35/10.79 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 38.35/10.79 | (1280) all_0_84_84 = e0
% 38.35/10.79 |
% 38.35/10.79 | Equations (884) can reduce 185 to:
% 38.35/10.79 | (2453) ~ (all_0_81_81 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 2453 yields:
% 38.35/10.79 | (1104) ~ (all_0_81_81 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Equations (884) can reduce 296 to:
% 38.35/10.79 | (3583) ~ (all_0_85_85 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 3583 yields:
% 38.35/10.79 | (1498) ~ (all_0_85_85 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Equations (743) can reduce 118 to:
% 38.35/10.79 | (744) ~ (all_0_79_79 = e0)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 744 yields:
% 38.35/10.79 | (745) ~ (all_0_79_79 = e0)
% 38.35/10.79 |
% 38.35/10.79 | Equations (761) can reduce 204 to:
% 38.35/10.79 | (3440) ~ (all_0_78_78 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 3440 yields:
% 38.35/10.79 | (689) ~ (all_0_78_78 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Equations (761) can reduce 297 to:
% 38.35/10.79 | (729) ~ (all_0_79_79 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 729 yields:
% 38.35/10.79 | (730) ~ (all_0_79_79 = e2)
% 38.35/10.79 |
% 38.35/10.79 | Equations (1013) can reduce 242 to:
% 38.35/10.79 | (2864) ~ (all_0_81_81 = e1)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 2864 yields:
% 38.35/10.79 | (1227) ~ (all_0_81_81 = e1)
% 38.35/10.79 |
% 38.35/10.79 | Equations (1013) can reduce 141 to:
% 38.35/10.79 | (4642) ~ (all_0_82_82 = e1)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 4642 yields:
% 38.35/10.79 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.79 |
% 38.35/10.79 | Equations (1280) can reduce 191 to:
% 38.35/10.79 | (4646) ~ (all_0_87_87 = e0)
% 38.35/10.79 |
% 38.35/10.79 | Simplifying 4646 yields:
% 38.35/10.79 | (489) ~ (all_0_87_87 = e0)
% 38.35/10.79 |
% 38.35/10.79 | From (707) and (267) follows:
% 38.35/10.79 | (4648) op(e1, e2) = all_0_17_17
% 38.35/10.79 |
% 38.35/10.79 | From (1280) and (95) follows:
% 38.35/10.79 | (4649) op(e3, e0) = all_0_20_20
% 38.35/10.79 |
% 38.35/10.79 | From (884) and (42) follows:
% 38.35/10.79 | (4650) op(e2, e2) = all_0_25_25
% 38.35/10.79 |
% 38.35/10.79 | From (707) and (285) follows:
% 38.35/10.79 | (4651) op(e2, e1) = all_0_26_26
% 38.35/10.79 |
% 38.35/10.79 | From (1013) and (109) follows:
% 38.35/10.79 | (4652) op(e2, e1) = all_0_32_32
% 38.35/10.79 |
% 38.35/10.79 | From (884) and (63) follows:
% 38.35/10.79 | (4653) op(e1, e2) = all_0_41_41
% 38.35/10.79 |
% 38.35/10.79 | From (761) and (145) follows:
% 38.35/10.79 | (4654) op(e1, e2) = all_0_44_44
% 38.35/10.79 |
% 38.35/10.79 | From (707) and (291) follows:
% 38.35/10.79 | (4655) op(e0, e1) = all_0_58_58
% 38.35/10.79 |
% 38.35/10.79 | From (1013) and (4531) follows:
% 38.35/10.79 | (1094) op(e0, e1) = e3
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (184), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (598) all_0_79_79 = e3
% 38.35/10.79 |
% 38.35/10.79 | Equations (598) can reduce 659 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (659) ~ (all_0_79_79 = e3)
% 38.35/10.79 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 38.35/10.79 |
% 38.35/10.79 +-Applying beta-rule and splitting (176), into two cases.
% 38.35/10.79 |-Branch one:
% 38.35/10.79 | (825) all_0_81_81 = e3
% 38.35/10.79 |
% 38.35/10.79 | Equations (825) can reduce 1120 to:
% 38.35/10.79 | (304) $false
% 38.35/10.79 |
% 38.35/10.79 |-The branch is then unsatisfiable
% 38.35/10.79 |-Branch two:
% 38.35/10.79 | (1120) ~ (all_0_81_81 = e3)
% 38.35/10.80 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (735), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (687) all_0_79_79 = e2
% 38.35/10.80 |
% 38.35/10.80 | Equations (687) can reduce 730 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (730) ~ (all_0_79_79 = e2)
% 38.35/10.80 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (50), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (695) all_0_78_78 = e3
% 38.35/10.80 |
% 38.35/10.80 | Equations (695) can reduce 657 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (657) ~ (all_0_78_78 = e3)
% 38.35/10.80 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (749), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (750) all_0_79_79 = e1
% 38.35/10.80 |
% 38.35/10.80 | Equations (750) can reduce 25 to:
% 38.35/10.80 | (709) ~ (all_0_78_78 = e1)
% 38.35/10.80 |
% 38.35/10.80 | From (750) and (131) follows:
% 38.35/10.80 | (4720) op(e1, e2) = all_0_37_37
% 38.35/10.80 |
% 38.35/10.80 | From (750) and (269) follows:
% 38.35/10.80 | (4721) op(e1, e0) = all_0_39_39
% 38.35/10.80 |
% 38.35/10.80 | From (750) and (111) follows:
% 38.35/10.80 | (4722) op(e0, e1) = all_0_63_63
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (1142), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (1155) all_0_81_81 = e2
% 38.35/10.80 |
% 38.35/10.80 | Equations (1155) can reduce 1104 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (1104) ~ (all_0_81_81 = e2)
% 38.35/10.80 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (698), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (703) all_0_78_78 = e2
% 38.35/10.80 |
% 38.35/10.80 | Equations (703) can reduce 689 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (689) ~ (all_0_78_78 = e2)
% 38.35/10.80 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (1158), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (1163) all_0_81_81 = e1
% 38.35/10.80 |
% 38.35/10.80 | Equations (1163) can reduce 1227 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (1227) ~ (all_0_81_81 = e1)
% 38.35/10.80 | (1228) all_0_81_81 = e0
% 38.35/10.80 |
% 38.35/10.80 | Equations (1228) can reduce 281 to:
% 38.35/10.80 | (4105) ~ (all_0_85_85 = e0)
% 38.35/10.80 |
% 38.35/10.80 | Simplifying 4105 yields:
% 38.35/10.80 | (1941) ~ (all_0_85_85 = e0)
% 38.35/10.80 |
% 38.35/10.80 | From (1228) and (127) follows:
% 38.35/10.80 | (4683) op(e0, e3) = all_0_44_44
% 38.35/10.80 |
% 38.35/10.80 | From (1228) and (224) follows:
% 38.35/10.80 | (4684) op(e0, e1) = all_0_46_46
% 38.35/10.80 |
% 38.35/10.80 | From (1228) and (206) follows:
% 38.35/10.80 | (4685) op(e3, e0) = all_0_17_17
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (241), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (448) all_0_82_82 = e3
% 38.35/10.80 |
% 38.35/10.80 | Equations (448) can reduce 454 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.80 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (706), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (710) all_0_78_78 = e1
% 38.35/10.80 |
% 38.35/10.80 | Equations (710) can reduce 709 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (709) ~ (all_0_78_78 = e1)
% 38.35/10.80 | (713) all_0_78_78 = e0
% 38.35/10.80 |
% 38.35/10.80 | Equations (713) can reduce 6 to:
% 38.35/10.80 | (4681) ~ (all_0_82_82 = e0)
% 38.35/10.80 |
% 38.35/10.80 | Simplifying 4681 yields:
% 38.35/10.80 | (486) ~ (all_0_82_82 = e0)
% 38.35/10.80 |
% 38.35/10.80 | From (713) and (79) follows:
% 38.35/10.80 | (4727) op(e0, e3) = all_0_32_32
% 38.35/10.80 |
% 38.35/10.80 | From (713) and (90) follows:
% 38.35/10.80 | (4728) op(e3, e0) = all_0_14_14
% 38.35/10.80 |
% 38.35/10.80 | From (713) and (162) follows:
% 38.35/10.80 | (4729) op(e1, e0) = all_0_46_46
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (23), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (600) all_0_85_85 = e3
% 38.35/10.80 |
% 38.35/10.80 | Equations (600) can reduce 1436 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (1436) ~ (all_0_85_85 = e3)
% 38.35/10.80 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (1546), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (1558) all_0_85_85 = e2
% 38.35/10.80 |
% 38.35/10.80 | Equations (1558) can reduce 1498 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (1498) ~ (all_0_85_85 = e2)
% 38.35/10.80 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (34), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (447) all_0_87_87 = e3
% 38.35/10.80 |
% 38.35/10.80 | Equations (447) can reduce 457 to:
% 38.35/10.80 | (304) $false
% 38.35/10.80 |
% 38.35/10.80 |-The branch is then unsatisfiable
% 38.35/10.80 |-Branch two:
% 38.35/10.80 | (457) ~ (all_0_87_87 = e3)
% 38.35/10.80 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (853), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (417) all_0_82_82 = e2
% 38.35/10.80 |
% 38.35/10.80 | From (417) and (216) follows:
% 38.35/10.80 | (4217) op(e2, e1) = all_0_50_50
% 38.35/10.80 |
% 38.35/10.80 | From (417) and (112) follows:
% 38.35/10.80 | (4697) op(e2, e2) = all_0_34_34
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (627), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (416) all_0_87_87 = e2
% 38.35/10.80 |
% 38.35/10.80 | Equations (416) can reduce 457 to:
% 38.35/10.80 | (2373) ~ (e3 = e2)
% 38.35/10.80 |
% 38.35/10.80 | Simplifying 2373 yields:
% 38.35/10.80 | (120) ~ (e3 = e2)
% 38.35/10.80 |
% 38.35/10.80 | From (416) and (255) follows:
% 38.35/10.80 | (4715) op(e2, e2) = all_0_69_69
% 38.35/10.80 |
% 38.35/10.80 | From (416) and (103) follows:
% 38.35/10.80 | (4716) op(e2, e2) = all_0_39_39
% 38.35/10.80 |
% 38.35/10.80 +-Applying beta-rule and splitting (1561), into two cases.
% 38.35/10.80 |-Branch one:
% 38.35/10.80 | (1566) all_0_85_85 = e1
% 38.35/10.80 |
% 38.35/10.80 | From (1566) and (3261) follows:
% 38.35/10.80 | (3752) op(e1, e2) = e0
% 38.35/10.80 |
% 38.35/10.80 | From (1566) and (207) follows:
% 38.35/10.80 | (4671) op(e2, e1) = all_0_37_37
% 38.35/10.80 |
% 38.35/10.80 | From (1566) and (190) follows:
% 38.35/10.80 | (4672) op(e0, e1) = all_0_69_69
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e3, e0, all_0_17_17, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_17_17, yields:
% 38.35/10.80 | (4730) all_0_14_14 = all_0_17_17
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 38.35/10.80 | (4731) all_0_14_14 = all_0_20_20
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e2, all_0_34_34, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_34_34, yields:
% 38.35/10.80 | (4732) all_0_25_25 = all_0_34_34
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e2, all_0_39_39, all_0_34_34 and discharging atoms op(e2, e2) = all_0_34_34, op(e2, e2) = all_0_39_39, yields:
% 38.35/10.80 | (4733) all_0_34_34 = all_0_39_39
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e2, all_0_69_69, all_0_25_25 and discharging atoms op(e2, e2) = all_0_25_25, op(e2, e2) = all_0_69_69, yields:
% 38.35/10.80 | (4734) all_0_25_25 = all_0_69_69
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 38.35/10.80 | (3199) all_0_26_26 = all_0_32_32
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e1, all_0_37_37, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_37_37, yields:
% 38.35/10.80 | (4736) all_0_26_26 = all_0_37_37
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e2, e1, all_0_50_50, all_0_32_32 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_50_50, yields:
% 38.35/10.80 | (4737) all_0_32_32 = all_0_50_50
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_41_41, yields:
% 38.35/10.80 | (4738) all_0_37_37 = all_0_41_41
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = all_0_44_44, yields:
% 38.35/10.80 | (4739) all_0_17_17 = all_0_44_44
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e1, e2, e0, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = e0, yields:
% 38.35/10.80 | (1595) all_0_17_17 = e0
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e1, e0, all_0_46_46, all_0_39_39 and discharging atoms op(e1, e0) = all_0_39_39, op(e1, e0) = all_0_46_46, yields:
% 38.35/10.80 | (4741) all_0_39_39 = all_0_46_46
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = all_0_44_44, yields:
% 38.35/10.80 | (4742) all_0_32_32 = all_0_44_44
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e0, e1, all_0_58_58, all_0_46_46 and discharging atoms op(e0, e1) = all_0_46_46, op(e0, e1) = all_0_58_58, yields:
% 38.35/10.80 | (4743) all_0_46_46 = all_0_58_58
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e0, e1, all_0_63_63, e3 and discharging atoms op(e0, e1) = all_0_63_63, op(e0, e1) = e3, yields:
% 38.35/10.80 | (3866) all_0_63_63 = e3
% 38.35/10.80 |
% 38.35/10.80 | Instantiating formula (268) with e0, e1, all_0_63_63, all_0_58_58 and discharging atoms op(e0, e1) = all_0_58_58, op(e0, e1) = all_0_63_63, yields:
% 38.35/10.80 | (4745) all_0_58_58 = all_0_63_63
% 38.35/10.80 |
% 38.35/10.81 | Combining equations (4730,4731) yields a new equation:
% 38.35/10.81 | (4746) all_0_17_17 = all_0_20_20
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4746 yields:
% 38.35/10.81 | (4747) all_0_17_17 = all_0_20_20
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4739,4747) yields a new equation:
% 38.35/10.81 | (4748) all_0_20_20 = all_0_44_44
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (1595,4747) yields a new equation:
% 38.35/10.81 | (1394) all_0_20_20 = e0
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4748,1394) yields a new equation:
% 38.35/10.81 | (4750) all_0_44_44 = e0
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4750 yields:
% 38.35/10.81 | (4751) all_0_44_44 = e0
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4732,4734) yields a new equation:
% 38.35/10.81 | (4752) all_0_34_34 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4752 yields:
% 38.35/10.81 | (4753) all_0_34_34 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (3199,4736) yields a new equation:
% 38.35/10.81 | (4754) all_0_32_32 = all_0_37_37
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4754 yields:
% 38.35/10.81 | (4755) all_0_32_32 = all_0_37_37
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4737,4755) yields a new equation:
% 38.35/10.81 | (4756) all_0_37_37 = all_0_50_50
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4742,4755) yields a new equation:
% 38.35/10.81 | (4757) all_0_37_37 = all_0_44_44
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4733,4753) yields a new equation:
% 38.35/10.81 | (4758) all_0_39_39 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4758 yields:
% 38.35/10.81 | (4759) all_0_39_39 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4757,4738) yields a new equation:
% 38.35/10.81 | (4760) all_0_41_41 = all_0_44_44
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4756,4738) yields a new equation:
% 38.35/10.81 | (4761) all_0_41_41 = all_0_50_50
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4741,4759) yields a new equation:
% 38.35/10.81 | (4762) all_0_46_46 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4762 yields:
% 38.35/10.81 | (4763) all_0_46_46 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4760,4761) yields a new equation:
% 38.35/10.81 | (4764) all_0_44_44 = all_0_50_50
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4764 yields:
% 38.35/10.81 | (4765) all_0_44_44 = all_0_50_50
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4765,4751) yields a new equation:
% 38.35/10.81 | (4766) all_0_50_50 = e0
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4766 yields:
% 38.35/10.81 | (4767) all_0_50_50 = e0
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4743,4763) yields a new equation:
% 38.35/10.81 | (4768) all_0_58_58 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4768 yields:
% 38.35/10.81 | (4769) all_0_58_58 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (4745,4769) yields a new equation:
% 38.35/10.81 | (4770) all_0_63_63 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 4770 yields:
% 38.35/10.81 | (4771) all_0_63_63 = all_0_69_69
% 38.35/10.81 |
% 38.35/10.81 | Combining equations (3866,4771) yields a new equation:
% 38.35/10.81 | (4772) all_0_69_69 = e3
% 38.35/10.81 |
% 38.35/10.81 | From (4767) and (5073) follows:
% 38.35/10.81 | (5034) op(e0, e1) = e2
% 38.35/10.81 |
% 38.35/10.81 | From (4772) and (4672) follows:
% 38.35/10.81 | (1094) op(e0, e1) = e3
% 38.35/10.81 |
% 38.35/10.81 | Instantiating formula (268) with e0, e1, e2, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e2, yields:
% 38.35/10.81 | (1215) e3 = e2
% 38.35/10.81 |
% 38.35/10.81 | Equations (1215) can reduce 120 to:
% 38.35/10.81 | (304) $false
% 38.35/10.81 |
% 38.35/10.81 |-The branch is then unsatisfiable
% 38.35/10.81 |-Branch two:
% 38.35/10.81 | (1540) ~ (all_0_85_85 = e1)
% 38.35/10.81 | (1569) all_0_85_85 = e0
% 38.35/10.81 |
% 38.35/10.81 | Equations (1569) can reduce 1941 to:
% 38.35/10.81 | (304) $false
% 38.35/10.81 |
% 38.35/10.81 |-The branch is then unsatisfiable
% 38.35/10.81 |-Branch two:
% 38.35/10.81 | (430) ~ (all_0_87_87 = e2)
% 38.35/10.81 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.81 |
% 38.35/10.81 +-Applying beta-rule and splitting (1561), into two cases.
% 38.35/10.81 |-Branch one:
% 38.35/10.81 | (1566) all_0_85_85 = e1
% 38.35/10.81 |
% 38.35/10.81 | Equations (1566) can reduce 156 to:
% 38.35/10.81 | (2928) ~ (all_0_87_87 = e1)
% 38.35/10.81 |
% 38.35/10.81 | Simplifying 2928 yields:
% 38.35/10.81 | (473) ~ (all_0_87_87 = e1)
% 38.35/10.81 |
% 38.35/10.81 +-Applying beta-rule and splitting (632), into two cases.
% 38.35/10.81 |-Branch one:
% 38.35/10.81 | (463) all_0_87_87 = e1
% 38.35/10.81 |
% 38.35/10.81 | Equations (463) can reduce 473 to:
% 38.35/10.81 | (304) $false
% 38.35/10.81 |
% 38.35/10.81 |-The branch is then unsatisfiable
% 38.35/10.81 |-Branch two:
% 38.35/10.81 | (473) ~ (all_0_87_87 = e1)
% 38.35/10.82 | (479) all_0_87_87 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (479) can reduce 489 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1540) ~ (all_0_85_85 = e1)
% 38.35/10.82 | (1569) all_0_85_85 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (1569) can reduce 1941 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.82 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (866), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (464) all_0_82_82 = e1
% 38.35/10.82 |
% 38.35/10.82 | Equations (464) can reduce 470 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.82 | (480) all_0_82_82 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (480) can reduce 486 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (731) ~ (all_0_79_79 = e1)
% 38.35/10.82 | (753) all_0_79_79 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (753) can reduce 745 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (406) ~ (unit = e3)
% 38.35/10.82 | (871) unit = e2 | unit = e1 | unit = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (24), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (407) all_0_72_72 = e3
% 38.35/10.82 |
% 38.35/10.82 | Combining equations (407,399) yields a new equation:
% 38.35/10.82 | (409) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (409) can reduce 406 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (405) ~ (all_0_72_72 = e3)
% 38.35/10.82 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (399) can reduce 405 to:
% 38.35/10.82 | (406) ~ (unit = e3)
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (94), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (449) all_0_77_77 = e3
% 38.35/10.82 |
% 38.35/10.82 | Combining equations (400,449) yields a new equation:
% 38.35/10.82 | (408) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 408 yields:
% 38.35/10.82 | (409) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (409) can reduce 406 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (450) ~ (all_0_77_77 = e3)
% 38.35/10.82 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (400) can reduce 450 to:
% 38.35/10.82 | (406) ~ (unit = e3)
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (123), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1114) all_0_86_86 = e3
% 38.35/10.82 |
% 38.35/10.82 | Combining equations (1114,4472) yields a new equation:
% 38.35/10.82 | (409) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (409) can reduce 406 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1061) ~ (all_0_86_86 = e3)
% 38.35/10.82 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (4472) can reduce 1061 to:
% 38.35/10.82 | (406) ~ (unit = e3)
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (151), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1110) all_0_83_83 = e3
% 38.35/10.82 |
% 38.35/10.82 | Combining equations (4471,1110) yields a new equation:
% 38.35/10.82 | (408) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 408 yields:
% 38.35/10.82 | (409) unit = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (409) can reduce 406 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1058) ~ (all_0_83_83 = e3)
% 38.35/10.82 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (188), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (401) ~ (all_0_72_72 = e0)
% 38.35/10.82 |
% 38.35/10.82 | Equations (399) can reduce 401 to:
% 38.35/10.82 | (402) ~ (unit = e0)
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (1113), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1125) all_0_83_83 = e2
% 38.35/10.82 |
% 38.35/10.82 | Combining equations (4471,1125) yields a new equation:
% 38.35/10.82 | (414) unit = e2
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 414 yields:
% 38.35/10.82 | (415) unit = e2
% 38.35/10.82 |
% 38.35/10.82 | Equations (415) can reduce 517 to:
% 38.35/10.82 | (643) ~ (all_0_74_74 = e2)
% 38.35/10.82 |
% 38.35/10.82 | Equations (415) can reduce 519 to:
% 38.35/10.82 | (645) ~ (all_0_75_75 = e2)
% 38.35/10.82 |
% 38.35/10.82 | Equations (415) can reduce 531 to:
% 38.35/10.82 | (1103) ~ (all_0_80_80 = e2)
% 38.35/10.82 |
% 38.35/10.82 | Equations (415) can reduce 3146 to:
% 38.35/10.82 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.82 |
% 38.35/10.82 | Equations (415) can reduce 533 to:
% 38.35/10.82 | (1050) ~ (all_0_84_84 = e2)
% 38.35/10.82 |
% 38.35/10.82 | From (415) and (256) follows:
% 38.35/10.82 | (903) op(e2, e3) = e3
% 38.35/10.82 |
% 38.35/10.82 | From (415) and (101) follows:
% 38.35/10.82 | (4891) op(e2, e1) = e1
% 38.35/10.82 |
% 38.35/10.82 | From (415) and (113) follows:
% 38.35/10.82 | (4893) op(e3, e2) = e3
% 38.35/10.82 |
% 38.35/10.82 | From (415) and (39) follows:
% 38.35/10.82 | (4894) op(e1, e2) = e1
% 38.35/10.82 |
% 38.35/10.82 | From (415) and (8) follows:
% 38.35/10.82 | (1108) op(e0, e2) = e0
% 38.35/10.82 |
% 38.35/10.82 | Instantiating formula (268) with e3, e2, e3, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e3, yields:
% 38.35/10.82 | (878) all_0_73_73 = e3
% 38.35/10.82 |
% 38.35/10.82 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 38.35/10.82 | (673) all_0_76_76 = e3
% 38.35/10.82 |
% 38.35/10.82 | Instantiating formula (268) with e2, e1, e1, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e1, yields:
% 38.35/10.82 | (710) all_0_78_78 = e1
% 38.35/10.82 |
% 38.35/10.82 | Instantiating formula (268) with e1, e2, e1, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e1, yields:
% 38.35/10.82 | (1163) all_0_81_81 = e1
% 38.35/10.82 |
% 38.35/10.82 | Instantiating formula (268) with e0, e2, e0, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e0, yields:
% 38.35/10.82 | (1569) all_0_85_85 = e0
% 38.35/10.82 |
% 38.35/10.82 | Equations (878) can reduce 199 to:
% 38.35/10.82 | (4902) ~ (all_0_74_74 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 4902 yields:
% 38.35/10.82 | (680) ~ (all_0_74_74 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Equations (878) can reduce 106 to:
% 38.35/10.82 | (4904) ~ (all_0_75_75 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 4904 yields:
% 38.35/10.82 | (718) ~ (all_0_75_75 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Equations (710) can reduce 38 to:
% 38.35/10.82 | (715) ~ (all_0_74_74 = e1)
% 38.35/10.82 |
% 38.35/10.82 | Equations (673) can reduce 173 to:
% 38.35/10.82 | (1889) ~ (all_0_80_80 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 1889 yields:
% 38.35/10.82 | (1250) ~ (all_0_80_80 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Equations (673) can reduce 202 to:
% 38.35/10.82 | (4909) ~ (all_0_84_84 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 4909 yields:
% 38.35/10.82 | (1059) ~ (all_0_84_84 = e3)
% 38.35/10.82 |
% 38.35/10.82 | Equations (1163) can reduce 276 to:
% 38.35/10.82 | (4642) ~ (all_0_82_82 = e1)
% 38.35/10.82 |
% 38.35/10.82 | Simplifying 4642 yields:
% 38.35/10.82 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.82 |
% 38.35/10.82 | Equations (1569) can reduce 81 to:
% 38.35/10.82 | (1055) ~ (all_0_84_84 = e0)
% 38.35/10.82 |
% 38.35/10.82 | From (673) and (192) follows:
% 38.35/10.82 | (4916) op(e3, e1) = all_0_26_26
% 38.35/10.82 |
% 38.35/10.82 | From (710) and (79) follows:
% 38.35/10.82 | (4917) op(e1, e3) = all_0_32_32
% 38.35/10.82 |
% 38.35/10.82 | From (710) and (90) follows:
% 38.35/10.82 | (4919) op(e3, e1) = all_0_14_14
% 38.35/10.82 |
% 38.35/10.82 | From (1163) and (206) follows:
% 38.35/10.82 | (1164) op(e3, e1) = all_0_17_17
% 38.35/10.82 |
% 38.35/10.82 | From (878) and (63) follows:
% 38.35/10.82 | (4921) op(e1, e3) = all_0_41_41
% 38.35/10.82 |
% 38.35/10.82 | From (673) and (145) follows:
% 38.35/10.82 | (4922) op(e1, e3) = all_0_44_44
% 38.35/10.82 |
% 38.35/10.82 | From (1569) and (72) follows:
% 38.35/10.82 | (1108) op(e0, e2) = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (245), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1015) all_0_80_80 = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (1015) can reduce 1250 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1250) ~ (all_0_80_80 = e3)
% 38.35/10.82 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (74), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (679) all_0_75_75 = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (679) can reduce 718 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (718) ~ (all_0_75_75 = e3)
% 38.35/10.82 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (240), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1073) all_0_84_84 = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (1073) can reduce 1059 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1059) ~ (all_0_84_84 = e3)
% 38.35/10.82 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (11), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (691) all_0_74_74 = e3
% 38.35/10.82 |
% 38.35/10.82 | Equations (691) can reduce 680 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (680) ~ (all_0_74_74 = e3)
% 38.35/10.82 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (1251), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (843) all_0_80_80 = e2
% 38.35/10.82 |
% 38.35/10.82 | Equations (843) can reduce 1103 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1103) ~ (all_0_80_80 = e2)
% 38.35/10.82 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (694), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (699) all_0_74_74 = e2
% 38.35/10.82 |
% 38.35/10.82 | Equations (699) can reduce 643 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (643) ~ (all_0_74_74 = e2)
% 38.35/10.82 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (1661), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (618) all_0_84_84 = e2
% 38.35/10.82 |
% 38.35/10.82 | Equations (618) can reduce 1050 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (1050) ~ (all_0_84_84 = e2)
% 38.35/10.82 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (719), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (736) all_0_75_75 = e2
% 38.35/10.82 |
% 38.35/10.82 | Equations (736) can reduce 645 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.82 | (645) ~ (all_0_75_75 = e2)
% 38.35/10.82 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (1673), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (1085) all_0_84_84 = e1
% 38.35/10.82 |
% 38.35/10.82 | Equations (1085) can reduce 279 to:
% 38.35/10.82 | (1087) ~ (all_0_80_80 = e1)
% 38.35/10.82 |
% 38.35/10.82 | From (1085) and (95) follows:
% 38.35/10.82 | (4980) op(e3, e1) = all_0_20_20
% 38.35/10.82 |
% 38.35/10.82 +-Applying beta-rule and splitting (702), into two cases.
% 38.35/10.82 |-Branch one:
% 38.35/10.82 | (707) all_0_74_74 = e1
% 38.35/10.82 |
% 38.35/10.82 | Equations (707) can reduce 715 to:
% 38.35/10.82 | (304) $false
% 38.35/10.82 |
% 38.35/10.82 |-The branch is then unsatisfiable
% 38.35/10.82 |-Branch two:
% 38.35/10.83 | (715) ~ (all_0_74_74 = e1)
% 38.35/10.83 | (716) all_0_74_74 = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (716) can reduce 140 to:
% 38.35/10.83 | (1029) ~ (all_0_75_75 = e0)
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 1029 yields:
% 38.35/10.83 | (1030) ~ (all_0_75_75 = e0)
% 38.35/10.83 |
% 38.35/10.83 | Equations (716) can reduce 28 to:
% 38.35/10.83 | (4681) ~ (all_0_82_82 = e0)
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 4681 yields:
% 38.35/10.83 | (486) ~ (all_0_82_82 = e0)
% 38.35/10.83 |
% 38.35/10.83 | From (716) and (267) follows:
% 38.35/10.83 | (1477) op(e0, e2) = all_0_17_17
% 38.35/10.83 |
% 38.35/10.83 | From (716) and (285) follows:
% 38.35/10.83 | (4988) op(e2, e0) = all_0_26_26
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (241), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (448) all_0_82_82 = e3
% 38.35/10.83 |
% 38.35/10.83 | From (448) and (216) follows:
% 38.35/10.83 | (3377) op(e3, e1) = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (5077), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (5385) ~ (all_0_50_50 = e0)
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (1264), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (1013) all_0_80_80 = e1
% 38.35/10.83 |
% 38.35/10.83 | Equations (1013) can reduce 1087 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (1087) ~ (all_0_80_80 = e1)
% 38.35/10.83 | (1268) all_0_80_80 = e0
% 38.35/10.83 |
% 38.35/10.83 | From (1268) and (109) follows:
% 38.35/10.83 | (4974) op(e2, e0) = all_0_32_32
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (739), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (740) all_0_75_75 = e1
% 38.35/10.83 |
% 38.35/10.83 | From (740) and (15) follows:
% 38.35/10.83 | (4943) op(e1, e3) = all_0_20_20
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e3, e1, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = all_0_20_20, yields:
% 38.35/10.83 | (4747) all_0_17_17 = all_0_20_20
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e3, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_26_26, yields:
% 38.35/10.83 | (551) all_0_14_14 = all_0_26_26
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e3, e1, all_0_50_50, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_50_50, yields:
% 38.35/10.83 | (4994) all_0_14_14 = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e2, e0, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e0) = all_0_26_26, op(e2, e0) = all_0_32_32, yields:
% 38.35/10.83 | (3199) all_0_26_26 = all_0_32_32
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e1, e3, all_0_41_41, all_0_20_20 and discharging atoms op(e1, e3) = all_0_20_20, op(e1, e3) = all_0_41_41, yields:
% 38.35/10.83 | (4996) all_0_20_20 = all_0_41_41
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = all_0_44_44, yields:
% 38.35/10.83 | (4742) all_0_32_32 = all_0_44_44
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e3) = all_0_41_41, op(e1, e3) = all_0_44_44, yields:
% 38.35/10.83 | (4760) all_0_41_41 = all_0_44_44
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e0, e2, all_0_17_17, e0 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e0, yields:
% 38.35/10.83 | (1595) all_0_17_17 = e0
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4994,551) yields a new equation:
% 38.35/10.83 | (5008) all_0_26_26 = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4747,1595) yields a new equation:
% 38.35/10.83 | (5009) all_0_20_20 = e0
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 5009 yields:
% 38.35/10.83 | (1394) all_0_20_20 = e0
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4996,1394) yields a new equation:
% 38.35/10.83 | (5013) all_0_41_41 = e0
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 5013 yields:
% 38.35/10.83 | (5014) all_0_41_41 = e0
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (5008,3199) yields a new equation:
% 38.35/10.83 | (4737) all_0_32_32 = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4742,4737) yields a new equation:
% 38.35/10.83 | (4764) all_0_44_44 = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 4764 yields:
% 38.35/10.83 | (4765) all_0_44_44 = all_0_50_50
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4760,5014) yields a new equation:
% 38.35/10.83 | (4750) all_0_44_44 = e0
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 4750 yields:
% 38.35/10.83 | (4751) all_0_44_44 = e0
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4751,4765) yields a new equation:
% 38.35/10.83 | (4767) all_0_50_50 = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (4767) can reduce 5385 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (728) ~ (all_0_75_75 = e1)
% 38.35/10.83 | (743) all_0_75_75 = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (743) can reduce 1030 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (4767) all_0_50_50 = e0
% 38.35/10.83 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.83 |
% 38.35/10.83 | Equations (448) can reduce 454 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.83 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (853), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (417) all_0_82_82 = e2
% 38.35/10.83 |
% 38.35/10.83 | Equations (417) can reduce 427 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.83 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (866), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (464) all_0_82_82 = e1
% 38.35/10.83 |
% 38.35/10.83 | Equations (464) can reduce 470 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.83 | (480) all_0_82_82 = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (480) can reduce 486 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (1675) ~ (all_0_84_84 = e1)
% 38.35/10.83 | (1280) all_0_84_84 = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (1280) can reduce 1055 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (1105) ~ (all_0_83_83 = e2)
% 38.35/10.83 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 38.35/10.83 |
% 38.35/10.83 +-Applying beta-rule and splitting (1128), into two cases.
% 38.35/10.83 |-Branch one:
% 38.35/10.83 | (1133) all_0_83_83 = e1
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4471,1133) yields a new equation:
% 38.35/10.83 | (435) unit = e1
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 435 yields:
% 38.35/10.83 | (436) unit = e1
% 38.35/10.83 |
% 38.35/10.83 | Equations (436) can reduce 404 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (1088) ~ (all_0_83_83 = e1)
% 38.35/10.83 | (1136) all_0_83_83 = e0
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (4471,1136) yields a new equation:
% 38.35/10.83 | (440) unit = e0
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 440 yields:
% 38.35/10.83 | (441) unit = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (441) can reduce 402 to:
% 38.35/10.83 | (304) $false
% 38.35/10.83 |
% 38.35/10.83 |-The branch is then unsatisfiable
% 38.35/10.83 |-Branch two:
% 38.35/10.83 | (439) all_0_72_72 = e0
% 38.35/10.83 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 38.35/10.83 |
% 38.35/10.83 | Combining equations (439,399) yields a new equation:
% 38.35/10.83 | (441) unit = e0
% 38.35/10.83 |
% 38.35/10.83 | Equations (441) can reduce 404 to:
% 38.35/10.83 | (1181) ~ (e1 = e0)
% 38.35/10.83 |
% 38.35/10.83 | Simplifying 1181 yields:
% 38.35/10.83 | (69) ~ (e1 = e0)
% 38.35/10.83 |
% 38.35/10.83 | From (441) and (101) follows:
% 38.35/10.83 | (2491) op(e0, e1) = e1
% 38.35/10.83 |
% 38.35/10.83 | From (441) and (4470) follows:
% 38.35/10.83 | (4871) op(e0, e1) = e0
% 38.35/10.83 |
% 38.35/10.83 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.35/10.84 | (1222) e1 = e0
% 38.35/10.84 |
% 38.35/10.84 | Equations (1222) can reduce 69 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (434) all_0_72_72 = e1
% 38.35/10.84 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Combining equations (434,399) yields a new equation:
% 38.35/10.84 | (436) unit = e1
% 38.35/10.84 |
% 38.35/10.84 | From (436) and (8) follows:
% 38.35/10.84 | (4871) op(e0, e1) = e0
% 38.35/10.84 |
% 38.35/10.84 | From (436) and (4470) follows:
% 38.35/10.84 | (2491) op(e0, e1) = e1
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.35/10.84 | (1222) e1 = e0
% 38.35/10.84 |
% 38.35/10.84 | Equations (1222) can reduce 69 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (4775) all_0_1_1 = e3
% 38.35/10.84 | (5461) ~ (all_0_50_50 = e0) | ~ (all_0_82_82 = e2)
% 38.35/10.84 |
% 38.35/10.84 | From (4775) and (30) follows:
% 38.35/10.84 | (5462) op(all_0_50_50, e1) = e3
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (147), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (419) ~ (all_0_72_72 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Equations (399) can reduce 419 to:
% 38.35/10.84 | (622) ~ (unit = e2)
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (94), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (449) all_0_77_77 = e3
% 38.35/10.84 |
% 38.35/10.84 | Combining equations (400,449) yields a new equation:
% 38.35/10.84 | (408) unit = e3
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 408 yields:
% 38.35/10.84 | (409) unit = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 527 to:
% 38.35/10.84 | (657) ~ (all_0_78_78 = e3)
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 529 to:
% 38.35/10.84 | (659) ~ (all_0_79_79 = e3)
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 521 to:
% 38.35/10.84 | (1120) ~ (all_0_81_81 = e3)
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 3146 to:
% 38.35/10.84 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 523 to:
% 38.35/10.84 | (1436) ~ (all_0_85_85 = e3)
% 38.35/10.84 |
% 38.35/10.84 | Equations (409) can reduce 1742 to:
% 38.35/10.84 | (457) ~ (all_0_87_87 = e3)
% 38.35/10.84 |
% 38.35/10.84 | From (409) and (226) follows:
% 38.35/10.84 | (4622) op(e3, e2) = e2
% 38.35/10.84 |
% 38.35/10.84 | From (409) and (101) follows:
% 38.35/10.84 | (4623) op(e3, e1) = e1
% 38.35/10.84 |
% 38.35/10.84 | From (409) and (104) follows:
% 38.35/10.84 | (2376) op(e2, e3) = e2
% 38.35/10.84 |
% 38.35/10.84 | From (409) and (39) follows:
% 38.35/10.84 | (1010) op(e1, e3) = e1
% 38.35/10.84 |
% 38.35/10.84 | From (409) and (8) follows:
% 38.35/10.84 | (1357) op(e0, e3) = e0
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 38.35/10.84 | (884) all_0_73_73 = e2
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 38.35/10.84 | (707) all_0_74_74 = e1
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 38.35/10.84 | (761) all_0_76_76 = e2
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 38.35/10.84 | (1013) all_0_80_80 = e1
% 38.35/10.84 |
% 38.35/10.84 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 38.35/10.84 | (1280) all_0_84_84 = e0
% 38.35/10.84 |
% 38.35/10.84 | Equations (884) can reduce 185 to:
% 38.35/10.84 | (2453) ~ (all_0_81_81 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 2453 yields:
% 38.35/10.84 | (1104) ~ (all_0_81_81 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Equations (884) can reduce 296 to:
% 38.35/10.84 | (3583) ~ (all_0_85_85 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 3583 yields:
% 38.35/10.84 | (1498) ~ (all_0_85_85 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Equations (707) can reduce 38 to:
% 38.35/10.84 | (708) ~ (all_0_78_78 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 708 yields:
% 38.35/10.84 | (709) ~ (all_0_78_78 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Equations (761) can reduce 204 to:
% 38.35/10.84 | (3440) ~ (all_0_78_78 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 3440 yields:
% 38.35/10.84 | (689) ~ (all_0_78_78 = e2)
% 38.35/10.84 |
% 38.35/10.84 | Equations (1013) can reduce 141 to:
% 38.35/10.84 | (4642) ~ (all_0_82_82 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 4642 yields:
% 38.35/10.84 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Equations (1280) can reduce 81 to:
% 38.35/10.84 | (4105) ~ (all_0_85_85 = e0)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 4105 yields:
% 38.35/10.84 | (1941) ~ (all_0_85_85 = e0)
% 38.35/10.84 |
% 38.35/10.84 | Equations (1280) can reduce 191 to:
% 38.35/10.84 | (4646) ~ (all_0_87_87 = e0)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 4646 yields:
% 38.35/10.84 | (489) ~ (all_0_87_87 = e0)
% 38.35/10.84 |
% 38.35/10.84 | From (707) and (267) follows:
% 38.35/10.84 | (4648) op(e1, e2) = all_0_17_17
% 38.35/10.84 |
% 38.35/10.84 | From (1280) and (95) follows:
% 38.35/10.84 | (4649) op(e3, e0) = all_0_20_20
% 38.35/10.84 |
% 38.35/10.84 | From (707) and (285) follows:
% 38.35/10.84 | (4651) op(e2, e1) = all_0_26_26
% 38.35/10.84 |
% 38.35/10.84 | From (1013) and (109) follows:
% 38.35/10.84 | (4652) op(e2, e1) = all_0_32_32
% 38.35/10.84 |
% 38.35/10.84 | From (884) and (63) follows:
% 38.35/10.84 | (4653) op(e1, e2) = all_0_41_41
% 38.35/10.84 |
% 38.35/10.84 | From (761) and (145) follows:
% 38.35/10.84 | (4654) op(e1, e2) = all_0_44_44
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (23), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (600) all_0_85_85 = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (600) can reduce 1436 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (1436) ~ (all_0_85_85 = e3)
% 38.35/10.84 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (1546), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (1558) all_0_85_85 = e2
% 38.35/10.84 |
% 38.35/10.84 | Equations (1558) can reduce 1498 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (1498) ~ (all_0_85_85 = e2)
% 38.35/10.84 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (1561), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (1566) all_0_85_85 = e1
% 38.35/10.84 |
% 38.35/10.84 | Equations (1566) can reduce 281 to:
% 38.35/10.84 | (1227) ~ (all_0_81_81 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Equations (1566) can reduce 156 to:
% 38.35/10.84 | (2928) ~ (all_0_87_87 = e1)
% 38.35/10.84 |
% 38.35/10.84 | Simplifying 2928 yields:
% 38.35/10.84 | (473) ~ (all_0_87_87 = e1)
% 38.35/10.84 |
% 38.35/10.84 | From (1566) and (207) follows:
% 38.35/10.84 | (4671) op(e2, e1) = all_0_37_37
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (34), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (447) all_0_87_87 = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (447) can reduce 457 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (457) ~ (all_0_87_87 = e3)
% 38.35/10.84 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (627), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (416) all_0_87_87 = e2
% 38.35/10.84 |
% 38.35/10.84 | Equations (416) can reduce 146 to:
% 38.35/10.84 | (730) ~ (all_0_79_79 = e2)
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (176), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (825) all_0_81_81 = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (825) can reduce 1120 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (1120) ~ (all_0_81_81 = e3)
% 38.35/10.84 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (1142), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (1155) all_0_81_81 = e2
% 38.35/10.84 |
% 38.35/10.84 | Equations (1155) can reduce 1104 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (1104) ~ (all_0_81_81 = e2)
% 38.35/10.84 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (50), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (695) all_0_78_78 = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (695) can reduce 657 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (657) ~ (all_0_78_78 = e3)
% 38.35/10.84 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (698), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (703) all_0_78_78 = e2
% 38.35/10.84 |
% 38.35/10.84 | Equations (703) can reduce 689 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (689) ~ (all_0_78_78 = e2)
% 38.35/10.84 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (184), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (598) all_0_79_79 = e3
% 38.35/10.84 |
% 38.35/10.84 | Equations (598) can reduce 659 to:
% 38.35/10.84 | (304) $false
% 38.35/10.84 |
% 38.35/10.84 |-The branch is then unsatisfiable
% 38.35/10.84 |-Branch two:
% 38.35/10.84 | (659) ~ (all_0_79_79 = e3)
% 38.35/10.84 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 38.35/10.84 |
% 38.35/10.84 +-Applying beta-rule and splitting (1158), into two cases.
% 38.35/10.84 |-Branch one:
% 38.35/10.84 | (1163) all_0_81_81 = e1
% 38.35/10.85 |
% 38.35/10.85 | Equations (1163) can reduce 1227 to:
% 38.35/10.85 | (304) $false
% 38.35/10.85 |
% 38.35/10.85 |-The branch is then unsatisfiable
% 38.35/10.85 |-Branch two:
% 38.35/10.85 | (1227) ~ (all_0_81_81 = e1)
% 38.35/10.85 | (1228) all_0_81_81 = e0
% 38.35/10.85 |
% 38.35/10.85 | Equations (1228) can reduce 276 to:
% 38.35/10.85 | (4681) ~ (all_0_82_82 = e0)
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4681 yields:
% 38.35/10.85 | (486) ~ (all_0_82_82 = e0)
% 38.35/10.85 |
% 38.35/10.85 | From (1228) and (127) follows:
% 38.35/10.85 | (4683) op(e0, e3) = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | From (1228) and (206) follows:
% 38.35/10.85 | (4685) op(e3, e0) = all_0_17_17
% 38.35/10.85 |
% 38.35/10.85 | From (1228) and (258) follows:
% 38.35/10.85 | (3752) op(e1, e2) = e0
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (241), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (448) all_0_82_82 = e3
% 38.35/10.85 |
% 38.35/10.85 | Equations (448) can reduce 454 to:
% 38.35/10.85 | (304) $false
% 38.35/10.85 |
% 38.35/10.85 |-The branch is then unsatisfiable
% 38.35/10.85 |-Branch two:
% 38.35/10.85 | (454) ~ (all_0_82_82 = e3)
% 38.35/10.85 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (853), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (417) all_0_82_82 = e2
% 38.35/10.85 |
% 38.35/10.85 | From (417) and (216) follows:
% 38.35/10.85 | (4217) op(e2, e1) = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (5461), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (5385) ~ (all_0_50_50 = e0)
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (735), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (687) all_0_79_79 = e2
% 38.35/10.85 |
% 38.35/10.85 | Equations (687) can reduce 730 to:
% 38.35/10.85 | (304) $false
% 38.35/10.85 |
% 38.35/10.85 |-The branch is then unsatisfiable
% 38.35/10.85 |-Branch two:
% 38.35/10.85 | (730) ~ (all_0_79_79 = e2)
% 38.35/10.85 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (706), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (710) all_0_78_78 = e1
% 38.35/10.85 |
% 38.35/10.85 | Equations (710) can reduce 709 to:
% 38.35/10.85 | (304) $false
% 38.35/10.85 |
% 38.35/10.85 |-The branch is then unsatisfiable
% 38.35/10.85 |-Branch two:
% 38.35/10.85 | (709) ~ (all_0_78_78 = e1)
% 38.35/10.85 | (713) all_0_78_78 = e0
% 38.35/10.85 |
% 38.35/10.85 | Equations (713) can reduce 25 to:
% 38.35/10.85 | (744) ~ (all_0_79_79 = e0)
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 744 yields:
% 38.35/10.85 | (745) ~ (all_0_79_79 = e0)
% 38.35/10.85 |
% 38.35/10.85 | From (713) and (79) follows:
% 38.35/10.85 | (4727) op(e0, e3) = all_0_32_32
% 38.35/10.85 |
% 38.35/10.85 | From (713) and (90) follows:
% 38.35/10.85 | (4728) op(e3, e0) = all_0_14_14
% 38.35/10.85 |
% 38.35/10.85 +-Applying beta-rule and splitting (749), into two cases.
% 38.35/10.85 |-Branch one:
% 38.35/10.85 | (750) all_0_79_79 = e1
% 38.35/10.85 |
% 38.35/10.85 | From (750) and (131) follows:
% 38.35/10.85 | (4720) op(e1, e2) = all_0_37_37
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e3, e0, all_0_17_17, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_17_17, yields:
% 38.35/10.85 | (4730) all_0_14_14 = all_0_17_17
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 38.35/10.85 | (4731) all_0_14_14 = all_0_20_20
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 38.35/10.85 | (3199) all_0_26_26 = all_0_32_32
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e2, e1, all_0_37_37, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_37_37, yields:
% 38.35/10.85 | (4736) all_0_26_26 = all_0_37_37
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e2, e1, all_0_50_50, all_0_32_32 and discharging atoms op(e2, e1) = all_0_32_32, op(e2, e1) = all_0_50_50, yields:
% 38.35/10.85 | (4737) all_0_32_32 = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_37_37 and discharging atoms op(e1, e2) = all_0_37_37, op(e1, e2) = all_0_41_41, yields:
% 38.35/10.85 | (4738) all_0_37_37 = all_0_41_41
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = all_0_44_44, yields:
% 38.35/10.85 | (4739) all_0_17_17 = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e1, e2, e0, all_0_17_17 and discharging atoms op(e1, e2) = all_0_17_17, op(e1, e2) = e0, yields:
% 38.35/10.85 | (1595) all_0_17_17 = e0
% 38.35/10.85 |
% 38.35/10.85 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e0, e3) = all_0_32_32, op(e0, e3) = all_0_44_44, yields:
% 38.35/10.85 | (4742) all_0_32_32 = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4730,4731) yields a new equation:
% 38.35/10.85 | (4746) all_0_17_17 = all_0_20_20
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4746 yields:
% 38.35/10.85 | (4747) all_0_17_17 = all_0_20_20
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4739,4747) yields a new equation:
% 38.35/10.85 | (4748) all_0_20_20 = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (1595,4747) yields a new equation:
% 38.35/10.85 | (1394) all_0_20_20 = e0
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4748,1394) yields a new equation:
% 38.35/10.85 | (4750) all_0_44_44 = e0
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4750 yields:
% 38.35/10.85 | (4751) all_0_44_44 = e0
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (3199,4736) yields a new equation:
% 38.35/10.85 | (4754) all_0_32_32 = all_0_37_37
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4754 yields:
% 38.35/10.85 | (4755) all_0_32_32 = all_0_37_37
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4737,4755) yields a new equation:
% 38.35/10.85 | (4756) all_0_37_37 = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4742,4755) yields a new equation:
% 38.35/10.85 | (4757) all_0_37_37 = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4757,4738) yields a new equation:
% 38.35/10.85 | (4760) all_0_41_41 = all_0_44_44
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4756,4738) yields a new equation:
% 38.35/10.85 | (4761) all_0_41_41 = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4760,4761) yields a new equation:
% 38.35/10.85 | (4764) all_0_44_44 = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4764 yields:
% 38.35/10.85 | (4765) all_0_44_44 = all_0_50_50
% 38.35/10.85 |
% 38.35/10.85 | Combining equations (4765,4751) yields a new equation:
% 38.35/10.85 | (4766) all_0_50_50 = e0
% 38.35/10.85 |
% 38.35/10.85 | Simplifying 4766 yields:
% 38.35/10.85 | (4767) all_0_50_50 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (4767) can reduce 5385 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (731) ~ (all_0_79_79 = e1)
% 38.35/10.86 | (753) all_0_79_79 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (753) can reduce 745 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (4767) all_0_50_50 = e0
% 38.35/10.86 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (417) can reduce 427 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.86 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (866), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (464) all_0_82_82 = e1
% 38.35/10.86 |
% 38.35/10.86 | Equations (464) can reduce 470 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.86 | (480) all_0_82_82 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (480) can reduce 486 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (430) ~ (all_0_87_87 = e2)
% 38.35/10.86 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (632), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (463) all_0_87_87 = e1
% 38.35/10.86 |
% 38.35/10.86 | Equations (463) can reduce 473 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (473) ~ (all_0_87_87 = e1)
% 38.35/10.86 | (479) all_0_87_87 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (479) can reduce 489 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (1540) ~ (all_0_85_85 = e1)
% 38.35/10.86 | (1569) all_0_85_85 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (1569) can reduce 1941 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (450) ~ (all_0_77_77 = e3)
% 38.35/10.86 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (400) can reduce 450 to:
% 38.35/10.86 | (406) ~ (unit = e3)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (119), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (409) unit = e3
% 38.35/10.86 |
% 38.35/10.86 | Equations (409) can reduce 406 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (406) ~ (unit = e3)
% 38.35/10.86 | (871) unit = e2 | unit = e1 | unit = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (24), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (407) all_0_72_72 = e3
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (407,399) yields a new equation:
% 38.35/10.86 | (409) unit = e3
% 38.35/10.86 |
% 38.35/10.86 | Equations (409) can reduce 406 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (405) ~ (all_0_72_72 = e3)
% 38.35/10.86 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (399) can reduce 405 to:
% 38.35/10.86 | (406) ~ (unit = e3)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (151), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (1110) all_0_83_83 = e3
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (4471,1110) yields a new equation:
% 38.35/10.86 | (408) unit = e3
% 38.35/10.86 |
% 38.35/10.86 | Simplifying 408 yields:
% 38.35/10.86 | (409) unit = e3
% 38.35/10.86 |
% 38.35/10.86 | Equations (409) can reduce 406 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (1058) ~ (all_0_83_83 = e3)
% 38.35/10.86 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (4471) can reduce 1058 to:
% 38.35/10.86 | (406) ~ (unit = e3)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (123), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (1114) all_0_86_86 = e3
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (1114,4472) yields a new equation:
% 38.35/10.86 | (409) unit = e3
% 38.35/10.86 |
% 38.35/10.86 | Equations (409) can reduce 406 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (1061) ~ (all_0_86_86 = e3)
% 38.35/10.86 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (188), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (401) ~ (all_0_72_72 = e0)
% 38.35/10.86 |
% 38.35/10.86 | Equations (399) can reduce 401 to:
% 38.35/10.86 | (402) ~ (unit = e0)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (1169), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (418) all_0_77_77 = e2
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (400,418) yields a new equation:
% 38.35/10.86 | (414) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Simplifying 414 yields:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 622 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (423) ~ (all_0_77_77 = e2)
% 38.35/10.86 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (400) can reduce 423 to:
% 38.35/10.86 | (622) ~ (unit = e2)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (871), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 622 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (622) ~ (unit = e2)
% 38.35/10.86 | (1271) unit = e1 | unit = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (1117), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (1129) all_0_86_86 = e2
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (1129,4472) yields a new equation:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 622 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (1106) ~ (all_0_86_86 = e2)
% 38.35/10.86 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (4472) can reduce 1106 to:
% 38.35/10.86 | (622) ~ (unit = e2)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (1113), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (1125) all_0_83_83 = e2
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (4471,1125) yields a new equation:
% 38.35/10.86 | (414) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Simplifying 414 yields:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 622 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (1105) ~ (all_0_83_83 = e2)
% 38.35/10.86 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (4471) can reduce 1105 to:
% 38.35/10.86 | (622) ~ (unit = e2)
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (412), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (413) all_0_72_72 = e2
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (413,399) yields a new equation:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 622 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (419) ~ (all_0_72_72 = e2)
% 38.35/10.86 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 38.35/10.86 |
% 38.35/10.86 +-Applying beta-rule and splitting (433), into two cases.
% 38.35/10.86 |-Branch one:
% 38.35/10.86 | (434) all_0_72_72 = e1
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (434,399) yields a new equation:
% 38.35/10.86 | (436) unit = e1
% 38.35/10.86 |
% 38.35/10.86 | Equations (436) can reduce 402 to:
% 38.35/10.86 | (69) ~ (e1 = e0)
% 38.35/10.86 |
% 38.35/10.86 | From (436) and (8) follows:
% 38.35/10.86 | (4871) op(e0, e1) = e0
% 38.35/10.86 |
% 38.35/10.86 | From (436) and (4470) follows:
% 38.35/10.86 | (2491) op(e0, e1) = e1
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.35/10.86 | (1222) e1 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (1222) can reduce 69 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (403) ~ (all_0_72_72 = e1)
% 38.35/10.86 | (439) all_0_72_72 = e0
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (439,399) yields a new equation:
% 38.35/10.86 | (441) unit = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (441) can reduce 402 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (439) all_0_72_72 = e0
% 38.35/10.86 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (439,399) yields a new equation:
% 38.35/10.86 | (441) unit = e0
% 38.35/10.86 |
% 38.35/10.86 | From (441) and (101) follows:
% 38.35/10.86 | (2491) op(e0, e1) = e1
% 38.35/10.86 |
% 38.35/10.86 | From (441) and (4470) follows:
% 38.35/10.86 | (4871) op(e0, e1) = e0
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 38.35/10.86 | (1222) e1 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (1222) can reduce 69 to:
% 38.35/10.86 | (304) $false
% 38.35/10.86 |
% 38.35/10.86 |-The branch is then unsatisfiable
% 38.35/10.86 |-Branch two:
% 38.35/10.86 | (413) all_0_72_72 = e2
% 38.35/10.86 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Combining equations (413,399) yields a new equation:
% 38.35/10.86 | (415) unit = e2
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 517 to:
% 38.35/10.86 | (643) ~ (all_0_74_74 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 519 to:
% 38.35/10.86 | (645) ~ (all_0_75_75 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 531 to:
% 38.35/10.86 | (1103) ~ (all_0_80_80 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 3146 to:
% 38.35/10.86 | (427) ~ (all_0_82_82 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 533 to:
% 38.35/10.86 | (1050) ~ (all_0_84_84 = e2)
% 38.35/10.86 |
% 38.35/10.86 | Equations (415) can reduce 1742 to:
% 38.35/10.86 | (430) ~ (all_0_87_87 = e2)
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (256) follows:
% 38.35/10.86 | (903) op(e2, e3) = e3
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (101) follows:
% 38.35/10.86 | (4891) op(e2, e1) = e1
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (124) follows:
% 38.35/10.86 | (4892) op(e2, e0) = e0
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (113) follows:
% 38.35/10.86 | (4893) op(e3, e2) = e3
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (39) follows:
% 38.35/10.86 | (4894) op(e1, e2) = e1
% 38.35/10.86 |
% 38.35/10.86 | From (415) and (8) follows:
% 38.35/10.86 | (1108) op(e0, e2) = e0
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e3, e2, e3, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e3, yields:
% 38.35/10.86 | (878) all_0_73_73 = e3
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 38.35/10.86 | (673) all_0_76_76 = e3
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e2, e1, e1, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e1, yields:
% 38.35/10.86 | (710) all_0_78_78 = e1
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e2, e0, e0, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e0, yields:
% 38.35/10.86 | (753) all_0_79_79 = e0
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e1, e2, e1, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e1, yields:
% 38.35/10.86 | (1163) all_0_81_81 = e1
% 38.35/10.86 |
% 38.35/10.86 | Instantiating formula (268) with e0, e2, e0, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e0, yields:
% 38.35/10.86 | (1569) all_0_85_85 = e0
% 38.35/10.86 |
% 38.35/10.86 | Equations (878) can reduce 199 to:
% 38.35/10.86 | (4902) ~ (all_0_74_74 = e3)
% 38.35/10.86 |
% 38.35/10.87 | Simplifying 4902 yields:
% 38.35/10.87 | (680) ~ (all_0_74_74 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Equations (878) can reduce 106 to:
% 38.35/10.87 | (4904) ~ (all_0_75_75 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 4904 yields:
% 38.35/10.87 | (718) ~ (all_0_75_75 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Equations (710) can reduce 38 to:
% 38.35/10.87 | (715) ~ (all_0_74_74 = e1)
% 38.35/10.87 |
% 38.35/10.87 | Equations (673) can reduce 173 to:
% 38.35/10.87 | (1889) ~ (all_0_80_80 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 1889 yields:
% 38.35/10.87 | (1250) ~ (all_0_80_80 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Equations (673) can reduce 202 to:
% 38.35/10.87 | (4909) ~ (all_0_84_84 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 4909 yields:
% 38.35/10.87 | (1059) ~ (all_0_84_84 = e3)
% 38.35/10.87 |
% 38.35/10.87 | Equations (1163) can reduce 242 to:
% 38.35/10.87 | (1087) ~ (all_0_80_80 = e1)
% 38.35/10.87 |
% 38.35/10.87 | Equations (1163) can reduce 276 to:
% 38.35/10.87 | (4642) ~ (all_0_82_82 = e1)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 4642 yields:
% 38.35/10.87 | (470) ~ (all_0_82_82 = e1)
% 38.35/10.87 |
% 38.35/10.87 | Equations (1569) can reduce 156 to:
% 38.35/10.87 | (4646) ~ (all_0_87_87 = e0)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 4646 yields:
% 38.35/10.87 | (489) ~ (all_0_87_87 = e0)
% 38.35/10.87 |
% 38.35/10.87 | From (673) and (192) follows:
% 38.35/10.87 | (4916) op(e3, e1) = all_0_26_26
% 38.35/10.87 |
% 38.35/10.87 | From (710) and (79) follows:
% 38.35/10.87 | (4917) op(e1, e3) = all_0_32_32
% 38.35/10.87 |
% 38.35/10.87 | From (673) and (273) follows:
% 38.35/10.87 | (1893) op(e3, e3) = all_0_12_12
% 38.35/10.87 |
% 38.35/10.87 | From (710) and (90) follows:
% 38.35/10.87 | (4919) op(e3, e1) = all_0_14_14
% 38.35/10.87 |
% 38.35/10.87 | From (1163) and (206) follows:
% 38.35/10.87 | (1164) op(e3, e1) = all_0_17_17
% 38.35/10.87 |
% 38.35/10.87 | From (878) and (63) follows:
% 38.35/10.87 | (4921) op(e1, e3) = all_0_41_41
% 38.35/10.87 |
% 38.35/10.87 | From (673) and (145) follows:
% 38.35/10.87 | (4922) op(e1, e3) = all_0_44_44
% 38.35/10.87 |
% 38.35/10.87 | From (753) and (31) follows:
% 38.35/10.87 | (1553) op(e1, e0) = all_0_47_47
% 38.35/10.87 |
% 38.35/10.87 | From (1569) and (4528) follows:
% 38.35/10.87 | (4924) op(e1, e0) = e2
% 38.35/10.87 |
% 38.35/10.87 | From (710) and (228) follows:
% 38.35/10.87 | (1172) op(e0, e1) = all_0_62_62
% 38.35/10.87 |
% 38.35/10.87 | From (1569) and (72) follows:
% 38.35/10.87 | (1108) op(e0, e2) = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (11), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (691) all_0_74_74 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (691) can reduce 680 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (680) ~ (all_0_74_74 = e3)
% 38.35/10.87 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (74), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (679) all_0_75_75 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (679) can reduce 718 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (718) ~ (all_0_75_75 = e3)
% 38.35/10.87 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (694), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (699) all_0_74_74 = e2
% 38.35/10.87 |
% 38.35/10.87 | Equations (699) can reduce 643 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (643) ~ (all_0_74_74 = e2)
% 38.35/10.87 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (702), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (707) all_0_74_74 = e1
% 38.35/10.87 |
% 38.35/10.87 | Equations (707) can reduce 715 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (715) ~ (all_0_74_74 = e1)
% 38.35/10.87 | (716) all_0_74_74 = e0
% 38.35/10.87 |
% 38.35/10.87 | Equations (716) can reduce 140 to:
% 38.35/10.87 | (1029) ~ (all_0_75_75 = e0)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 1029 yields:
% 38.35/10.87 | (1030) ~ (all_0_75_75 = e0)
% 38.35/10.87 |
% 38.35/10.87 | From (716) and (267) follows:
% 38.35/10.87 | (1477) op(e0, e2) = all_0_17_17
% 38.35/10.87 |
% 38.35/10.87 | From (716) and (261) follows:
% 38.35/10.87 | (4987) op(e0, e1) = all_0_18_18
% 38.35/10.87 |
% 38.35/10.87 | From (716) and (285) follows:
% 38.35/10.87 | (4988) op(e2, e0) = all_0_26_26
% 38.35/10.87 |
% 38.35/10.87 | From (716) and (98) follows:
% 38.35/10.87 | (1480) op(e1, e0) = all_0_42_42
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (241), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (448) all_0_82_82 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (448) can reduce 141 to:
% 38.35/10.87 | (1250) ~ (all_0_80_80 = e3)
% 38.35/10.87 |
% 38.35/10.87 | From (448) and (76) follows:
% 38.35/10.87 | (4976) op(e3, e3) = all_0_48_48
% 38.35/10.87 |
% 38.35/10.87 | From (448) and (216) follows:
% 38.35/10.87 | (3377) op(e3, e1) = all_0_50_50
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (245), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (1015) all_0_80_80 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (1015) can reduce 1250 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (1250) ~ (all_0_80_80 = e3)
% 38.35/10.87 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (719), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (736) all_0_75_75 = e2
% 38.35/10.87 |
% 38.35/10.87 | Equations (736) can reduce 645 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (645) ~ (all_0_75_75 = e2)
% 38.35/10.87 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (739), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (740) all_0_75_75 = e1
% 38.35/10.87 |
% 38.35/10.87 | From (740) and (15) follows:
% 38.35/10.87 | (4943) op(e1, e3) = all_0_20_20
% 38.35/10.87 |
% 38.35/10.87 | From (740) and (163) follows:
% 38.35/10.87 | (4944) op(e1, e0) = all_0_23_23
% 38.35/10.87 |
% 38.35/10.87 | From (740) and (282) follows:
% 38.35/10.87 | (4945) op(e0, e1) = all_0_59_59
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (1251), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (843) all_0_80_80 = e2
% 38.35/10.87 |
% 38.35/10.87 | Equations (843) can reduce 1103 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (1103) ~ (all_0_80_80 = e2)
% 38.35/10.87 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (240), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (1073) all_0_84_84 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (1073) can reduce 1059 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (1059) ~ (all_0_84_84 = e3)
% 38.35/10.87 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (34), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (447) all_0_87_87 = e3
% 38.35/10.87 |
% 38.35/10.87 | Equations (447) can reduce 430 to:
% 38.35/10.87 | (120) ~ (e3 = e2)
% 38.35/10.87 |
% 38.35/10.87 | From (447) and (158) follows:
% 38.35/10.87 | (4947) op(e3, e3) = all_0_23_23
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (1264), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (1013) all_0_80_80 = e1
% 38.35/10.87 |
% 38.35/10.87 | Equations (1013) can reduce 1087 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (1087) ~ (all_0_80_80 = e1)
% 38.35/10.87 | (1268) all_0_80_80 = e0
% 38.35/10.87 |
% 38.35/10.87 | Equations (1268) can reduce 279 to:
% 38.35/10.87 | (3539) ~ (all_0_84_84 = e0)
% 38.35/10.87 |
% 38.35/10.87 | Simplifying 3539 yields:
% 38.35/10.87 | (1055) ~ (all_0_84_84 = e0)
% 38.35/10.87 |
% 38.35/10.87 | From (1268) and (109) follows:
% 38.35/10.87 | (4974) op(e2, e0) = all_0_32_32
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (1661), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (618) all_0_84_84 = e2
% 38.35/10.87 |
% 38.35/10.87 | Equations (618) can reduce 1050 to:
% 38.35/10.87 | (304) $false
% 38.35/10.87 |
% 38.35/10.87 |-The branch is then unsatisfiable
% 38.35/10.87 |-Branch two:
% 38.35/10.87 | (1050) ~ (all_0_84_84 = e2)
% 38.35/10.87 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 38.35/10.87 |
% 38.35/10.87 +-Applying beta-rule and splitting (1673), into two cases.
% 38.35/10.87 |-Branch one:
% 38.35/10.87 | (1085) all_0_84_84 = e1
% 38.35/10.87 |
% 38.35/10.87 | From (1085) and (49) follows:
% 38.35/10.87 | (4979) op(e1, e0) = all_0_59_59
% 38.35/10.87 |
% 38.35/10.87 | From (1085) and (95) follows:
% 38.35/10.87 | (4980) op(e3, e1) = all_0_20_20
% 38.35/10.87 |
% 38.35/10.87 | From (1085) and (290) follows:
% 38.35/10.87 | (4981) op(e0, e1) = all_0_68_68
% 38.35/10.87 |
% 38.35/10.87 | Instantiating formula (268) with e3, e3, all_0_23_23, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_23_23, yields:
% 38.35/10.88 | (4990) all_0_12_12 = all_0_23_23
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e3, e3, all_0_48_48, all_0_12_12 and discharging atoms op(e3, e3) = all_0_12_12, op(e3, e3) = all_0_48_48, yields:
% 38.35/10.88 | (4991) all_0_12_12 = all_0_48_48
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e3, e1, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e1) = all_0_17_17, op(e3, e1) = all_0_20_20, yields:
% 38.35/10.88 | (4747) all_0_17_17 = all_0_20_20
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e3, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_26_26, yields:
% 38.35/10.88 | (551) all_0_14_14 = all_0_26_26
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e3, e1, all_0_50_50, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = all_0_50_50, yields:
% 38.35/10.88 | (4994) all_0_14_14 = all_0_50_50
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e2, e0, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e0) = all_0_26_26, op(e2, e0) = all_0_32_32, yields:
% 38.35/10.88 | (3199) all_0_26_26 = all_0_32_32
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e3, all_0_41_41, all_0_20_20 and discharging atoms op(e1, e3) = all_0_20_20, op(e1, e3) = all_0_41_41, yields:
% 38.35/10.88 | (4996) all_0_20_20 = all_0_41_41
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_32_32 and discharging atoms op(e1, e3) = all_0_32_32, op(e1, e3) = all_0_44_44, yields:
% 38.35/10.88 | (4742) all_0_32_32 = all_0_44_44
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e3) = all_0_41_41, op(e1, e3) = all_0_44_44, yields:
% 38.35/10.88 | (4760) all_0_41_41 = all_0_44_44
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e0, all_0_42_42, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_42_42, yields:
% 38.35/10.88 | (4999) all_0_23_23 = all_0_42_42
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e0, all_0_47_47, e2 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = e2, yields:
% 38.35/10.88 | (2589) all_0_47_47 = e2
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e0, all_0_47_47, all_0_23_23 and discharging atoms op(e1, e0) = all_0_23_23, op(e1, e0) = all_0_47_47, yields:
% 38.35/10.88 | (5001) all_0_23_23 = all_0_47_47
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e1, e0, all_0_59_59, all_0_47_47 and discharging atoms op(e1, e0) = all_0_47_47, op(e1, e0) = all_0_59_59, yields:
% 38.35/10.88 | (5002) all_0_47_47 = all_0_59_59
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e0, e2, all_0_17_17, e0 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e0, yields:
% 38.35/10.88 | (1595) all_0_17_17 = e0
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e0, e1, all_0_62_62, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_62_62, yields:
% 38.35/10.88 | (5004) all_0_18_18 = all_0_62_62
% 38.35/10.88 |
% 38.35/10.88 | Instantiating formula (268) with e0, e1, all_0_62_62, all_0_59_59 and discharging atoms op(e0, e1) = all_0_59_59, op(e0, e1) = all_0_62_62, yields:
% 38.76/10.88 | (1591) all_0_59_59 = all_0_62_62
% 38.76/10.88 |
% 38.76/10.88 | Instantiating formula (268) with e0, e1, all_0_68_68, all_0_18_18 and discharging atoms op(e0, e1) = all_0_18_18, op(e0, e1) = all_0_68_68, yields:
% 38.76/10.88 | (5006) all_0_18_18 = all_0_68_68
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4991,4990) yields a new equation:
% 38.76/10.88 | (5007) all_0_23_23 = all_0_48_48
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4994,551) yields a new equation:
% 38.76/10.88 | (5008) all_0_26_26 = all_0_50_50
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4747,1595) yields a new equation:
% 38.76/10.88 | (5009) all_0_20_20 = e0
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 5009 yields:
% 38.76/10.88 | (1394) all_0_20_20 = e0
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5004,5006) yields a new equation:
% 38.76/10.88 | (5011) all_0_62_62 = all_0_68_68
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 5011 yields:
% 38.76/10.88 | (5012) all_0_62_62 = all_0_68_68
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4996,1394) yields a new equation:
% 38.76/10.88 | (5013) all_0_41_41 = e0
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 5013 yields:
% 38.76/10.88 | (5014) all_0_41_41 = e0
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5001,4999) yields a new equation:
% 38.76/10.88 | (1586) all_0_42_42 = all_0_47_47
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5007,4999) yields a new equation:
% 38.76/10.88 | (5016) all_0_42_42 = all_0_48_48
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5008,3199) yields a new equation:
% 38.76/10.88 | (4737) all_0_32_32 = all_0_50_50
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4742,4737) yields a new equation:
% 38.76/10.88 | (4764) all_0_44_44 = all_0_50_50
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 4764 yields:
% 38.76/10.88 | (4765) all_0_44_44 = all_0_50_50
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4760,5014) yields a new equation:
% 38.76/10.88 | (4750) all_0_44_44 = e0
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 4750 yields:
% 38.76/10.88 | (4751) all_0_44_44 = e0
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (1586,5016) yields a new equation:
% 38.76/10.88 | (5022) all_0_47_47 = all_0_48_48
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 5022 yields:
% 38.76/10.88 | (5023) all_0_47_47 = all_0_48_48
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (4751,4765) yields a new equation:
% 38.76/10.88 | (4767) all_0_50_50 = e0
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5002,5023) yields a new equation:
% 38.76/10.88 | (5025) all_0_48_48 = all_0_59_59
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (2589,5023) yields a new equation:
% 38.76/10.88 | (5026) all_0_48_48 = e2
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (5025,5026) yields a new equation:
% 38.76/10.88 | (1606) all_0_59_59 = e2
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 1606 yields:
% 38.76/10.88 | (1607) all_0_59_59 = e2
% 38.76/10.88 |
% 38.76/10.88 | Combining equations (1591,1607) yields a new equation:
% 38.76/10.88 | (1207) all_0_62_62 = e2
% 38.76/10.88 |
% 38.76/10.88 | Simplifying 1207 yields:
% 38.76/10.89 | (1208) all_0_62_62 = e2
% 38.76/10.89 |
% 38.76/10.89 | Combining equations (5012,1208) yields a new equation:
% 38.76/10.89 | (5031) all_0_68_68 = e2
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 5031 yields:
% 38.76/10.89 | (5032) all_0_68_68 = e2
% 38.76/10.89 |
% 38.76/10.89 | From (4767) and (5462) follows:
% 38.76/10.89 | (1094) op(e0, e1) = e3
% 38.76/10.89 |
% 38.76/10.89 | From (5032) and (4981) follows:
% 38.76/10.89 | (5034) op(e0, e1) = e2
% 38.76/10.89 |
% 38.76/10.89 | Instantiating formula (268) with e0, e1, e3, e2 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e2, yields:
% 38.76/10.89 | (1215) e3 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (1215) can reduce 120 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1675) ~ (all_0_84_84 = e1)
% 38.76/10.89 | (1280) all_0_84_84 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (1280) can reduce 1055 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (457) ~ (all_0_87_87 = e3)
% 38.76/10.89 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (1661), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (618) all_0_84_84 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (618) can reduce 1050 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1050) ~ (all_0_84_84 = e2)
% 38.76/10.89 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (1264), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (1013) all_0_80_80 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (1013) can reduce 1087 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1087) ~ (all_0_80_80 = e1)
% 38.76/10.89 | (1268) all_0_80_80 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (1268) can reduce 279 to:
% 38.76/10.89 | (3539) ~ (all_0_84_84 = e0)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 3539 yields:
% 38.76/10.89 | (1055) ~ (all_0_84_84 = e0)
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (1673), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (1085) all_0_84_84 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (1085) can reduce 191 to:
% 38.76/10.89 | (2928) ~ (all_0_87_87 = e1)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 2928 yields:
% 38.76/10.89 | (473) ~ (all_0_87_87 = e1)
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (627), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (416) all_0_87_87 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (416) can reduce 430 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (430) ~ (all_0_87_87 = e2)
% 38.76/10.89 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (632), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (463) all_0_87_87 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (463) can reduce 473 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (473) ~ (all_0_87_87 = e1)
% 38.76/10.89 | (479) all_0_87_87 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (479) can reduce 489 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1675) ~ (all_0_84_84 = e1)
% 38.76/10.89 | (1280) all_0_84_84 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (1280) can reduce 1055 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (728) ~ (all_0_75_75 = e1)
% 38.76/10.89 | (743) all_0_75_75 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (743) can reduce 1030 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (454) ~ (all_0_82_82 = e3)
% 38.76/10.89 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (245), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (1015) all_0_80_80 = e3
% 38.76/10.89 |
% 38.76/10.89 | Equations (1015) can reduce 1250 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1250) ~ (all_0_80_80 = e3)
% 38.76/10.89 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (853), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (417) all_0_82_82 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (417) can reduce 427 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (427) ~ (all_0_82_82 = e2)
% 38.76/10.89 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (1251), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (843) all_0_80_80 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (843) can reduce 1103 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1103) ~ (all_0_80_80 = e2)
% 38.76/10.89 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (1264), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (1013) all_0_80_80 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (1013) can reduce 1087 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (1087) ~ (all_0_80_80 = e1)
% 38.76/10.89 | (1268) all_0_80_80 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (1268) can reduce 141 to:
% 38.76/10.89 | (4681) ~ (all_0_82_82 = e0)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 4681 yields:
% 38.76/10.89 | (486) ~ (all_0_82_82 = e0)
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (866), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (464) all_0_82_82 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (464) can reduce 470 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (470) ~ (all_0_82_82 = e1)
% 38.76/10.89 | (480) all_0_82_82 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (480) can reduce 486 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (502) ~ (all_0_5_5 = e2)
% 38.76/10.89 | (503) all_0_5_5 = e1 | all_0_5_5 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (503), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (504) all_0_5_5 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (504) can reduce 313 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (313) ~ (all_0_5_5 = e1)
% 38.76/10.89 | (507) all_0_5_5 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (507) can reduce 298 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (491) ~ (all_0_4_4 = e3)
% 38.76/10.89 | (492) all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (393), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (394) all_0_5_5 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (394) can reduce 97 to:
% 38.76/10.89 | (395) ~ (all_0_4_4 = e2)
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (492), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (493) all_0_4_4 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (493) can reduce 395 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (395) ~ (all_0_4_4 = e2)
% 38.76/10.89 | (496) all_0_4_4 = e1 | all_0_4_4 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (496), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (497) all_0_4_4 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (497) can reduce 312 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (312) ~ (all_0_4_4 = e1)
% 38.76/10.89 | (500) all_0_4_4 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (500) can reduce 360 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (502) ~ (all_0_5_5 = e2)
% 38.76/10.89 | (503) all_0_5_5 = e1 | all_0_5_5 = e0
% 38.76/10.89 |
% 38.76/10.89 +-Applying beta-rule and splitting (503), into two cases.
% 38.76/10.89 |-Branch one:
% 38.76/10.89 | (504) all_0_5_5 = e1
% 38.76/10.89 |
% 38.76/10.89 | Equations (504) can reduce 313 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (313) ~ (all_0_5_5 = e1)
% 38.76/10.89 | (507) all_0_5_5 = e0
% 38.76/10.89 |
% 38.76/10.89 | Equations (507) can reduce 298 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (390) all_0_5_5 = e3
% 38.76/10.89 | (493) all_0_4_4 = e2
% 38.76/10.89 |
% 38.76/10.89 | Equations (493) can reduce 395 to:
% 38.76/10.89 | (304) $false
% 38.76/10.89 |
% 38.76/10.89 |-The branch is then unsatisfiable
% 38.76/10.89 |-Branch two:
% 38.76/10.89 | (493) all_0_4_4 = e2
% 38.76/10.89 | (390) all_0_5_5 = e3
% 38.76/10.89 |
% 38.76/10.89 | Equations (493,390) can reduce 97 to:
% 38.76/10.89 | (2373) ~ (e3 = e2)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 2373 yields:
% 38.76/10.89 | (120) ~ (e3 = e2)
% 38.76/10.89 |
% 38.76/10.89 | From (493) and (289) follows:
% 38.76/10.89 | (511) op(e3, e2) = unit
% 38.76/10.89 |
% 38.76/10.89 | From (390) and (197) follows:
% 38.76/10.89 | (512) op(e2, e3) = unit
% 38.76/10.89 |
% 38.76/10.89 | Instantiating formula (268) with e3, e2, unit, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = unit, yields:
% 38.76/10.89 | (513) all_0_73_73 = unit
% 38.76/10.89 |
% 38.76/10.89 | Instantiating formula (268) with e2, e3, unit, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = unit, yields:
% 38.76/10.89 | (514) all_0_76_76 = unit
% 38.76/10.89 |
% 38.76/10.89 | Equations (514) can reduce 249 to:
% 38.76/10.89 | (515) ~ (all_0_72_72 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (513) can reduce 199 to:
% 38.76/10.89 | (516) ~ (all_0_74_74 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 516 yields:
% 38.76/10.89 | (517) ~ (all_0_74_74 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (513) can reduce 106 to:
% 38.76/10.89 | (518) ~ (all_0_75_75 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 518 yields:
% 38.76/10.89 | (519) ~ (all_0_75_75 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (513) can reduce 296 to:
% 38.76/10.89 | (522) ~ (all_0_85_85 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 522 yields:
% 38.76/10.89 | (523) ~ (all_0_85_85 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (514) can reduce 204 to:
% 38.76/10.89 | (526) ~ (all_0_78_78 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 526 yields:
% 38.76/10.89 | (527) ~ (all_0_78_78 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (514) can reduce 173 to:
% 38.76/10.89 | (530) ~ (all_0_80_80 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 530 yields:
% 38.76/10.89 | (531) ~ (all_0_80_80 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Equations (514) can reduce 202 to:
% 38.76/10.89 | (532) ~ (all_0_84_84 = unit)
% 38.76/10.89 |
% 38.76/10.89 | Simplifying 532 yields:
% 38.76/10.89 | (533) ~ (all_0_84_84 = unit)
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (295) follows:
% 38.76/10.89 | (534) op(unit, e3) = all_0_12_12
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (254) follows:
% 38.76/10.89 | (535) op(unit, e2) = all_0_13_13
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (92) follows:
% 38.76/10.89 | (536) op(unit, e1) = all_0_14_14
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (270) follows:
% 38.76/10.89 | (538) op(unit, e3) = all_0_24_24
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (68) follows:
% 38.76/10.89 | (539) op(unit, e2) = all_0_25_25
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (192) follows:
% 38.76/10.89 | (540) op(unit, e1) = all_0_26_26
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (137) follows:
% 38.76/10.89 | (542) op(e3, unit) = all_0_9_9
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (273) follows:
% 38.76/10.89 | (543) op(e3, unit) = all_0_12_12
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (42) follows:
% 38.76/10.89 | (5970) op(e2, unit) = all_0_25_25
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (272) follows:
% 38.76/10.89 | (5971) op(e2, unit) = all_0_28_28
% 38.76/10.89 |
% 38.76/10.89 | From (514) and (208) follows:
% 38.76/10.89 | (512) op(e2, e3) = unit
% 38.76/10.89 |
% 38.76/10.89 | From (513) and (63) follows:
% 38.76/10.90 | (5973) op(e1, unit) = all_0_41_41
% 38.76/10.90 |
% 38.76/10.90 | From (514) and (145) follows:
% 38.76/10.90 | (5974) op(e1, unit) = all_0_44_44
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with unit, e3, all_0_24_24, all_0_12_12 and discharging atoms op(unit, e3) = all_0_12_12, op(unit, e3) = all_0_24_24, yields:
% 38.76/10.90 | (547) all_0_12_12 = all_0_24_24
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with unit, e2, all_0_13_13, e2 and discharging atoms op(unit, e2) = all_0_13_13, op(unit, e2) = e2, yields:
% 38.76/10.90 | (548) all_0_13_13 = e2
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with unit, e2, all_0_25_25, all_0_13_13 and discharging atoms op(unit, e2) = all_0_13_13, op(unit, e2) = all_0_25_25, yields:
% 38.76/10.90 | (549) all_0_13_13 = all_0_25_25
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with unit, e1, all_0_14_14, e1 and discharging atoms op(unit, e1) = all_0_14_14, op(unit, e1) = e1, yields:
% 38.76/10.90 | (550) all_0_14_14 = e1
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with unit, e1, all_0_26_26, all_0_14_14 and discharging atoms op(unit, e1) = all_0_14_14, op(unit, e1) = all_0_26_26, yields:
% 38.76/10.90 | (551) all_0_14_14 = all_0_26_26
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with e3, unit, all_0_9_9, e3 and discharging atoms op(e3, unit) = all_0_9_9, op(e3, unit) = e3, yields:
% 38.76/10.90 | (554) all_0_9_9 = e3
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with e3, unit, all_0_12_12, all_0_9_9 and discharging atoms op(e3, unit) = all_0_9_9, op(e3, unit) = all_0_12_12, yields:
% 38.76/10.90 | (555) all_0_9_9 = all_0_12_12
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with e2, unit, all_0_28_28, all_0_25_25 and discharging atoms op(e2, unit) = all_0_25_25, op(e2, unit) = all_0_28_28, yields:
% 38.76/10.90 | (5982) all_0_25_25 = all_0_28_28
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with e1, unit, all_0_41_41, e1 and discharging atoms op(e1, unit) = all_0_41_41, op(e1, unit) = e1, yields:
% 38.76/10.90 | (5983) all_0_41_41 = e1
% 38.76/10.90 |
% 38.76/10.90 | Instantiating formula (268) with e1, unit, all_0_44_44, all_0_41_41 and discharging atoms op(e1, unit) = all_0_41_41, op(e1, unit) = all_0_44_44, yields:
% 38.76/10.90 | (4760) all_0_41_41 = all_0_44_44
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (554,555) yields a new equation:
% 38.76/10.90 | (558) all_0_12_12 = e3
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (558,547) yields a new equation:
% 38.76/10.90 | (559) all_0_24_24 = e3
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (548,549) yields a new equation:
% 38.76/10.90 | (560) all_0_25_25 = e2
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (550,551) yields a new equation:
% 38.76/10.90 | (561) all_0_26_26 = e1
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (5982,560) yields a new equation:
% 38.76/10.90 | (5989) all_0_28_28 = e2
% 38.76/10.90 |
% 38.76/10.90 | Simplifying 5989 yields:
% 38.76/10.90 | (5990) all_0_28_28 = e2
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (4760,5983) yields a new equation:
% 38.76/10.90 | (5991) all_0_44_44 = e1
% 38.76/10.90 |
% 38.76/10.90 | Simplifying 5991 yields:
% 38.76/10.90 | (5992) all_0_44_44 = e1
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (561,551) yields a new equation:
% 38.76/10.90 | (550) all_0_14_14 = e1
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (559,547) yields a new equation:
% 38.76/10.90 | (558) all_0_12_12 = e3
% 38.76/10.90 |
% 38.76/10.90 | Combining equations (558,555) yields a new equation:
% 38.76/10.90 | (554) all_0_9_9 = e3
% 38.76/10.90 |
% 38.76/10.90 | From (554) and (3) follows:
% 38.76/10.90 | (567) op(all_0_72_72, e2) = e3
% 38.76/10.90 |
% 38.76/10.90 | From (5992) and (127) follows:
% 38.76/10.90 | (5997) op(all_0_81_81, e3) = e1
% 38.76/10.90 |
% 38.76/10.90 | From (550) and (90) follows:
% 38.76/10.90 | (5998) op(e3, all_0_78_78) = e1
% 38.76/10.90 |
% 38.76/10.90 | From (559) and (149) follows:
% 38.76/10.90 | (570) op(e2, all_0_72_72) = e3
% 38.76/10.90 |
% 38.76/10.90 | From (5990) and (5971) follows:
% 38.76/10.90 | (104) op(e2, unit) = e2
% 38.76/10.90 |
% 38.76/10.90 +-Applying beta-rule and splitting (133), into two cases.
% 38.76/10.90 |-Branch one:
% 38.76/10.90 | (405) ~ (all_0_72_72 = e3)
% 38.76/10.90 |
% 38.76/10.90 +-Applying beta-rule and splitting (24), into two cases.
% 38.76/10.90 |-Branch one:
% 38.76/10.90 | (407) all_0_72_72 = e3
% 38.76/10.90 |
% 38.76/10.90 | Equations (407) can reduce 405 to:
% 38.76/10.90 | (304) $false
% 38.76/10.90 |
% 38.76/10.90 |-The branch is then unsatisfiable
% 38.76/10.90 |-Branch two:
% 38.76/10.90 | (405) ~ (all_0_72_72 = e3)
% 38.76/10.90 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 38.76/10.90 |
% 38.76/10.90 +-Applying beta-rule and splitting (50), into two cases.
% 38.76/10.90 |-Branch one:
% 38.76/10.90 | (695) all_0_78_78 = e3
% 38.76/10.90 |
% 38.76/10.90 | Equations (695) can reduce 38 to:
% 38.76/10.90 | (680) ~ (all_0_74_74 = e3)
% 38.76/10.90 |
% 38.76/10.90 | Equations (695) can reduce 527 to:
% 38.76/10.90 | (607) ~ (unit = e3)
% 38.76/10.90 |
% 38.76/10.90 | Simplifying 607 yields:
% 38.76/10.90 | (406) ~ (unit = e3)
% 38.76/10.90 |
% 38.76/10.90 | From (695) and (79) follows:
% 38.85/10.90 | (6010) op(e3, e3) = all_0_32_32
% 38.85/10.90 |
% 38.85/10.90 | From (695) and (4521) follows:
% 38.85/10.90 | (1892) op(e3, e0) = e2
% 38.85/10.90 |
% 38.85/10.90 | From (695) and (5998) follows:
% 38.85/10.90 | (3379) op(e3, e3) = e1
% 38.85/10.90 |
% 38.85/10.90 | Instantiating formula (268) with e3, e3, all_0_32_32, all_0_72_72 and discharging atoms op(e3, e3) = all_0_32_32, op(e3, e3) = all_0_72_72, yields:
% 38.85/10.90 | (6013) all_0_32_32 = all_0_72_72
% 38.85/10.90 |
% 38.85/10.90 | Instantiating formula (268) with e3, e3, e1, all_0_32_32 and discharging atoms op(e3, e3) = all_0_32_32, op(e3, e3) = e1, yields:
% 38.85/10.90 | (6014) all_0_32_32 = e1
% 38.85/10.90 |
% 38.85/10.90 | Instantiating formula (268) with e3, e0, e2, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e2, yields:
% 38.85/10.90 | (736) all_0_75_75 = e2
% 38.85/10.90 |
% 38.85/10.90 | Combining equations (6013,6014) yields a new equation:
% 38.85/10.90 | (6016) all_0_72_72 = e1
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 6016 yields:
% 38.85/10.90 | (434) all_0_72_72 = e1
% 38.85/10.90 |
% 38.85/10.90 | Equations (434) can reduce 134 to:
% 38.85/10.90 | (1401) ~ (all_0_74_74 = e1)
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 1401 yields:
% 38.85/10.90 | (715) ~ (all_0_74_74 = e1)
% 38.85/10.90 |
% 38.85/10.90 | Equations (434) can reduce 515 to:
% 38.85/10.90 | (928) ~ (unit = e1)
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 928 yields:
% 38.85/10.90 | (404) ~ (unit = e1)
% 38.85/10.90 |
% 38.85/10.90 | Equations (736) can reduce 140 to:
% 38.85/10.90 | (643) ~ (all_0_74_74 = e2)
% 38.85/10.90 |
% 38.85/10.90 | Equations (736) can reduce 519 to:
% 38.85/10.90 | (621) ~ (unit = e2)
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 621 yields:
% 38.85/10.90 | (622) ~ (unit = e2)
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (119), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (409) unit = e3
% 38.85/10.90 |
% 38.85/10.90 | Equations (409) can reduce 406 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (406) ~ (unit = e3)
% 38.85/10.90 | (871) unit = e2 | unit = e1 | unit = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (19), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (673) all_0_76_76 = e3
% 38.85/10.90 |
% 38.85/10.90 | Combining equations (514,673) yields a new equation:
% 38.85/10.90 | (408) unit = e3
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 408 yields:
% 38.85/10.90 | (409) unit = e3
% 38.85/10.90 |
% 38.85/10.90 | Equations (409) can reduce 406 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (677) ~ (all_0_76_76 = e3)
% 38.85/10.90 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (678), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (761) all_0_76_76 = e2
% 38.85/10.90 |
% 38.85/10.90 | Combining equations (514,761) yields a new equation:
% 38.85/10.90 | (414) unit = e2
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 414 yields:
% 38.85/10.90 | (415) unit = e2
% 38.85/10.90 |
% 38.85/10.90 | Equations (415) can reduce 622 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (765) ~ (all_0_76_76 = e2)
% 38.85/10.90 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (766), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (781) all_0_76_76 = e1
% 38.85/10.90 |
% 38.85/10.90 | Combining equations (514,781) yields a new equation:
% 38.85/10.90 | (435) unit = e1
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 435 yields:
% 38.85/10.90 | (436) unit = e1
% 38.85/10.90 |
% 38.85/10.90 | Equations (436) can reduce 404 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (797) ~ (all_0_76_76 = e1)
% 38.85/10.90 | (798) all_0_76_76 = e0
% 38.85/10.90 |
% 38.85/10.90 | Combining equations (514,798) yields a new equation:
% 38.85/10.90 | (440) unit = e0
% 38.85/10.90 |
% 38.85/10.90 | Simplifying 440 yields:
% 38.85/10.90 | (441) unit = e0
% 38.85/10.90 |
% 38.85/10.90 | Equations (441) can reduce 517 to:
% 38.85/10.90 | (688) ~ (all_0_74_74 = e0)
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (11), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (691) all_0_74_74 = e3
% 38.85/10.90 |
% 38.85/10.90 | Equations (691) can reduce 680 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (680) ~ (all_0_74_74 = e3)
% 38.85/10.90 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (694), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (699) all_0_74_74 = e2
% 38.85/10.90 |
% 38.85/10.90 | Equations (699) can reduce 643 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (643) ~ (all_0_74_74 = e2)
% 38.85/10.90 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (702), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (707) all_0_74_74 = e1
% 38.85/10.90 |
% 38.85/10.90 | Equations (707) can reduce 715 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (715) ~ (all_0_74_74 = e1)
% 38.85/10.90 | (716) all_0_74_74 = e0
% 38.85/10.90 |
% 38.85/10.90 | Equations (716) can reduce 688 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (657) ~ (all_0_78_78 = e3)
% 38.85/10.90 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 38.85/10.90 |
% 38.85/10.90 +-Applying beta-rule and splitting (240), into two cases.
% 38.85/10.90 |-Branch one:
% 38.85/10.90 | (1073) all_0_84_84 = e3
% 38.85/10.90 |
% 38.85/10.90 | Equations (1073) can reduce 279 to:
% 38.85/10.90 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.90 |
% 38.85/10.90 | From (1073) and (4527) follows:
% 38.85/10.90 | (1009) op(e1, e3) = e3
% 38.85/10.90 |
% 38.85/10.90 | Instantiating formula (268) with e1, e3, e3, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e3, yields:
% 38.85/10.90 | (1015) all_0_80_80 = e3
% 38.85/10.90 |
% 38.85/10.90 | Equations (1015) can reduce 1250 to:
% 38.85/10.90 | (304) $false
% 38.85/10.90 |
% 38.85/10.90 |-The branch is then unsatisfiable
% 38.85/10.90 |-Branch two:
% 38.85/10.90 | (1059) ~ (all_0_84_84 = e3)
% 38.85/10.90 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (188), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (401) ~ (all_0_72_72 = e0)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (119), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (409) unit = e3
% 38.85/10.91 |
% 38.85/10.91 | From (409) and (104) follows:
% 38.85/10.91 | (2376) op(e2, e3) = e2
% 38.85/10.91 |
% 38.85/10.91 | From (409) and (512) follows:
% 38.85/10.91 | (903) op(e2, e3) = e3
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e2, e3, e2, e3 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e2, yields:
% 38.85/10.91 | (1215) e3 = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (1215) can reduce 120 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (406) ~ (unit = e3)
% 38.85/10.91 | (871) unit = e2 | unit = e1 | unit = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (123), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (1114) all_0_86_86 = e3
% 38.85/10.91 |
% 38.85/10.91 | Combining equations (1114,4472) yields a new equation:
% 38.85/10.91 | (409) unit = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (409) can reduce 406 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1061) ~ (all_0_86_86 = e3)
% 38.85/10.91 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 38.85/10.91 |
% 38.85/10.91 | Equations (4472) can reduce 1061 to:
% 38.85/10.91 | (406) ~ (unit = e3)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (19), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (673) all_0_76_76 = e3
% 38.85/10.91 |
% 38.85/10.91 | Combining equations (514,673) yields a new equation:
% 38.85/10.91 | (408) unit = e3
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 408 yields:
% 38.85/10.91 | (409) unit = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (409) can reduce 406 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (677) ~ (all_0_76_76 = e3)
% 38.85/10.91 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (176), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (825) all_0_81_81 = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (825) can reduce 242 to:
% 38.85/10.91 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.91 |
% 38.85/10.91 | From (825) and (5997) follows:
% 38.85/10.91 | (3379) op(e3, e3) = e1
% 38.85/10.91 |
% 38.85/10.91 | From (825) and (206) follows:
% 38.85/10.91 | (6095) op(e3, e3) = all_0_17_17
% 38.85/10.91 |
% 38.85/10.91 | From (825) and (4532) follows:
% 38.85/10.91 | (612) op(e0, e3) = e2
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e3, e3, all_0_17_17, all_0_72_72 and discharging atoms op(e3, e3) = all_0_17_17, op(e3, e3) = all_0_72_72, yields:
% 38.85/10.91 | (6097) all_0_17_17 = all_0_72_72
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e3, e3, e1, all_0_17_17 and discharging atoms op(e3, e3) = all_0_17_17, op(e3, e3) = e1, yields:
% 38.85/10.91 | (6098) all_0_17_17 = e1
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e0, e3, e2, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e2, yields:
% 38.85/10.91 | (618) all_0_84_84 = e2
% 38.85/10.91 |
% 38.85/10.91 | Combining equations (6097,6098) yields a new equation:
% 38.85/10.91 | (6016) all_0_72_72 = e1
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 6016 yields:
% 38.85/10.91 | (434) all_0_72_72 = e1
% 38.85/10.91 |
% 38.85/10.91 | Equations (434) can reduce 292 to:
% 38.85/10.91 | (6102) ~ (all_0_80_80 = e1)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 6102 yields:
% 38.85/10.91 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.91 |
% 38.85/10.91 | Equations (434) can reduce 515 to:
% 38.85/10.91 | (928) ~ (unit = e1)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 928 yields:
% 38.85/10.91 | (404) ~ (unit = e1)
% 38.85/10.91 |
% 38.85/10.91 | Equations (618) can reduce 279 to:
% 38.85/10.91 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.91 |
% 38.85/10.91 | Equations (618) can reduce 533 to:
% 38.85/10.91 | (621) ~ (unit = e2)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 621 yields:
% 38.85/10.91 | (622) ~ (unit = e2)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (871), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (415) unit = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (415) can reduce 622 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (622) ~ (unit = e2)
% 38.85/10.91 | (1271) unit = e1 | unit = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1271), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (436) unit = e1
% 38.85/10.91 |
% 38.85/10.91 | Equations (436) can reduce 404 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (404) ~ (unit = e1)
% 38.85/10.91 | (441) unit = e0
% 38.85/10.91 |
% 38.85/10.91 | Equations (441) can reduce 531 to:
% 38.85/10.91 | (1260) ~ (all_0_80_80 = e0)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (245), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (1015) all_0_80_80 = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (1015) can reduce 1250 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.91 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1251), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (843) all_0_80_80 = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (843) can reduce 1103 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.91 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1264), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (1013) all_0_80_80 = e1
% 38.85/10.91 |
% 38.85/10.91 | Equations (1013) can reduce 1087 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.91 | (1268) all_0_80_80 = e0
% 38.85/10.91 |
% 38.85/10.91 | Equations (1268) can reduce 1260 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1120) ~ (all_0_81_81 = e3)
% 38.85/10.91 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (241), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (448) all_0_82_82 = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (448) can reduce 28 to:
% 38.85/10.91 | (680) ~ (all_0_74_74 = e3)
% 38.85/10.91 |
% 38.85/10.91 | From (448) and (216) follows:
% 38.85/10.91 | (3377) op(e3, e1) = all_0_50_50
% 38.85/10.91 |
% 38.85/10.91 | From (448) and (154) follows:
% 38.85/10.91 | (3380) op(e1, e3) = all_0_50_50
% 38.85/10.91 |
% 38.85/10.91 | From (448) and (4533) follows:
% 38.85/10.91 | (1935) op(e0, e3) = e1
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e3, e1, all_0_50_50, all_0_74_74 and discharging atoms op(e3, e1) = all_0_50_50, op(e3, e1) = all_0_74_74, yields:
% 38.85/10.91 | (6138) all_0_50_50 = all_0_74_74
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e1, e3, all_0_50_50, all_0_80_80 and discharging atoms op(e1, e3) = all_0_50_50, op(e1, e3) = all_0_80_80, yields:
% 38.85/10.91 | (6139) all_0_50_50 = all_0_80_80
% 38.85/10.91 |
% 38.85/10.91 | Instantiating formula (268) with e0, e3, e1, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e1, yields:
% 38.85/10.91 | (1085) all_0_84_84 = e1
% 38.85/10.91 |
% 38.85/10.91 | Combining equations (6139,6138) yields a new equation:
% 38.85/10.91 | (829) all_0_74_74 = all_0_80_80
% 38.85/10.91 |
% 38.85/10.91 | Equations (829) can reduce 134 to:
% 38.85/10.91 | (292) ~ (all_0_72_72 = all_0_80_80)
% 38.85/10.91 |
% 38.85/10.91 | Equations (1085) can reduce 132 to:
% 38.85/10.91 | (403) ~ (all_0_72_72 = e1)
% 38.85/10.91 |
% 38.85/10.91 | Equations (829) can reduce 517 to:
% 38.85/10.91 | (531) ~ (all_0_80_80 = unit)
% 38.85/10.91 |
% 38.85/10.91 | Equations (829) can reduce 680 to:
% 38.85/10.91 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.91 |
% 38.85/10.91 | Equations (1085) can reduce 279 to:
% 38.85/10.91 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.91 |
% 38.85/10.91 | Equations (1085) can reduce 533 to:
% 38.85/10.91 | (928) ~ (unit = e1)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 928 yields:
% 38.85/10.91 | (404) ~ (unit = e1)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (412), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (413) all_0_72_72 = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (413) can reduce 292 to:
% 38.85/10.91 | (6150) ~ (all_0_80_80 = e2)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 6150 yields:
% 38.85/10.91 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.91 |
% 38.85/10.91 | Equations (413) can reduce 515 to:
% 38.85/10.91 | (621) ~ (unit = e2)
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 621 yields:
% 38.85/10.91 | (622) ~ (unit = e2)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (245), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (1015) all_0_80_80 = e3
% 38.85/10.91 |
% 38.85/10.91 | Equations (1015) can reduce 1250 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.91 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1117), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (1129) all_0_86_86 = e2
% 38.85/10.91 |
% 38.85/10.91 | Combining equations (4472,1129) yields a new equation:
% 38.85/10.91 | (414) unit = e2
% 38.85/10.91 |
% 38.85/10.91 | Simplifying 414 yields:
% 38.85/10.91 | (415) unit = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (415) can reduce 622 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1106) ~ (all_0_86_86 = e2)
% 38.85/10.91 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 38.85/10.91 |
% 38.85/10.91 | Equations (4472) can reduce 1106 to:
% 38.85/10.91 | (622) ~ (unit = e2)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (871), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (415) unit = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (415) can reduce 622 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (622) ~ (unit = e2)
% 38.85/10.91 | (1271) unit = e1 | unit = e0
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1271), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (436) unit = e1
% 38.85/10.91 |
% 38.85/10.91 | Equations (436) can reduce 404 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (404) ~ (unit = e1)
% 38.85/10.91 | (441) unit = e0
% 38.85/10.91 |
% 38.85/10.91 | Equations (441) can reduce 531 to:
% 38.85/10.91 | (1260) ~ (all_0_80_80 = e0)
% 38.85/10.91 |
% 38.85/10.91 +-Applying beta-rule and splitting (1251), into two cases.
% 38.85/10.91 |-Branch one:
% 38.85/10.91 | (843) all_0_80_80 = e2
% 38.85/10.91 |
% 38.85/10.91 | Equations (843) can reduce 1103 to:
% 38.85/10.91 | (304) $false
% 38.85/10.91 |
% 38.85/10.91 |-The branch is then unsatisfiable
% 38.85/10.91 |-Branch two:
% 38.85/10.91 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.92 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (1264), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (1013) all_0_80_80 = e1
% 38.85/10.92 |
% 38.85/10.92 | Equations (1013) can reduce 1087 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.92 | (1268) all_0_80_80 = e0
% 38.85/10.92 |
% 38.85/10.92 | Equations (1268) can reduce 1260 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (419) ~ (all_0_72_72 = e2)
% 38.85/10.92 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (433), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (434) all_0_72_72 = e1
% 38.85/10.92 |
% 38.85/10.92 | Equations (434) can reduce 403 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (403) ~ (all_0_72_72 = e1)
% 38.85/10.92 | (439) all_0_72_72 = e0
% 38.85/10.92 |
% 38.85/10.92 | Equations (439) can reduce 401 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (454) ~ (all_0_82_82 = e3)
% 38.85/10.92 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (245), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (1015) all_0_80_80 = e3
% 38.85/10.92 |
% 38.85/10.92 | Equations (1015) can reduce 279 to:
% 38.85/10.92 | (4909) ~ (all_0_84_84 = e3)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 4909 yields:
% 38.85/10.92 | (1059) ~ (all_0_84_84 = e3)
% 38.85/10.92 |
% 38.85/10.92 | From (1015) and (4531) follows:
% 38.85/10.92 | (1356) op(e0, e3) = e3
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 38.85/10.92 | (1073) all_0_84_84 = e3
% 38.85/10.92 |
% 38.85/10.92 | Equations (1073) can reduce 1059 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (1250) ~ (all_0_80_80 = e3)
% 38.85/10.92 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (147), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (419) ~ (all_0_72_72 = e2)
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (412), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (413) all_0_72_72 = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (413) can reduce 419 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (419) ~ (all_0_72_72 = e2)
% 38.85/10.92 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (433), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (434) all_0_72_72 = e1
% 38.85/10.92 |
% 38.85/10.92 | From (434) and (567) follows:
% 38.85/10.92 | (817) op(e1, e2) = e3
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 38.85/10.92 | (825) all_0_81_81 = e3
% 38.85/10.92 |
% 38.85/10.92 | Equations (825) can reduce 1120 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (403) ~ (all_0_72_72 = e1)
% 38.85/10.92 | (439) all_0_72_72 = e0
% 38.85/10.92 |
% 38.85/10.92 | Equations (439) can reduce 401 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (413) all_0_72_72 = e2
% 38.85/10.92 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Equations (413) can reduce 292 to:
% 38.85/10.92 | (6150) ~ (all_0_80_80 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 6150 yields:
% 38.85/10.92 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Equations (413) can reduce 132 to:
% 38.85/10.92 | (6216) ~ (all_0_84_84 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 6216 yields:
% 38.85/10.92 | (1050) ~ (all_0_84_84 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Equations (413) can reduce 515 to:
% 38.85/10.92 | (621) ~ (unit = e2)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 621 yields:
% 38.85/10.92 | (622) ~ (unit = e2)
% 38.85/10.92 |
% 38.85/10.92 | From (413) and (35) follows:
% 38.85/10.92 | (649) op(e2, e1) = all_0_10_10
% 38.85/10.92 |
% 38.85/10.92 | From (413) and (128) follows:
% 38.85/10.92 | (650) op(e2, e0) = all_0_11_11
% 38.85/10.92 |
% 38.85/10.92 | From (413) and (82) follows:
% 38.85/10.92 | (6222) op(e1, e2) = all_0_40_40
% 38.85/10.92 |
% 38.85/10.92 | From (413) and (196) follows:
% 38.85/10.92 | (4043) op(e0, e2) = all_0_56_56
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e2, e1, all_0_10_10, all_0_78_78 and discharging atoms op(e2, e1) = all_0_10_10, op(e2, e1) = all_0_78_78, yields:
% 38.85/10.92 | (654) all_0_10_10 = all_0_78_78
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e2, e0, all_0_11_11, all_0_79_79 and discharging atoms op(e2, e0) = all_0_11_11, op(e2, e0) = all_0_79_79, yields:
% 38.85/10.92 | (655) all_0_11_11 = all_0_79_79
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e1, e2, all_0_40_40, all_0_81_81 and discharging atoms op(e1, e2) = all_0_40_40, op(e1, e2) = all_0_81_81, yields:
% 38.85/10.92 | (6226) all_0_40_40 = all_0_81_81
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e0, e2, all_0_56_56, all_0_85_85 and discharging atoms op(e0, e2) = all_0_56_56, op(e0, e2) = all_0_85_85, yields:
% 38.85/10.92 | (4051) all_0_56_56 = all_0_85_85
% 38.85/10.92 |
% 38.85/10.92 | From (654) and (649) follows:
% 38.85/10.92 | (209) op(e2, e1) = all_0_78_78
% 38.85/10.92 |
% 38.85/10.92 | From (655) and (650) follows:
% 38.85/10.92 | (278) op(e2, e0) = all_0_79_79
% 38.85/10.92 |
% 38.85/10.92 | From (6226) and (6222) follows:
% 38.85/10.92 | (258) op(e1, e2) = all_0_81_81
% 38.85/10.92 |
% 38.85/10.92 | From (4051) and (4043) follows:
% 38.85/10.92 | (72) op(e0, e2) = all_0_85_85
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (698), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (703) all_0_78_78 = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (703) can reduce 25 to:
% 38.85/10.92 | (729) ~ (all_0_79_79 = e2)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 729 yields:
% 38.85/10.92 | (730) ~ (all_0_79_79 = e2)
% 38.85/10.92 |
% 38.85/10.92 | From (703) and (4521) follows:
% 38.85/10.92 | (6235) op(e2, e0) = e2
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e2, e0, e2, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e2, yields:
% 38.85/10.92 | (687) all_0_79_79 = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (687) can reduce 730 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (689) ~ (all_0_78_78 = e2)
% 38.85/10.92 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (1661), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (618) all_0_84_84 = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (618) can reduce 1050 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (1050) ~ (all_0_84_84 = e2)
% 38.85/10.92 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (871), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (415) unit = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (415) can reduce 622 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (622) ~ (unit = e2)
% 38.85/10.92 | (1271) unit = e1 | unit = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (1117), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (1129) all_0_86_86 = e2
% 38.85/10.92 |
% 38.85/10.92 | Combining equations (1129,4472) yields a new equation:
% 38.85/10.92 | (415) unit = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (415) can reduce 622 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (1106) ~ (all_0_86_86 = e2)
% 38.85/10.92 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 38.85/10.92 |
% 38.85/10.92 | Equations (4472) can reduce 1106 to:
% 38.85/10.92 | (622) ~ (unit = e2)
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (678), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (761) all_0_76_76 = e2
% 38.85/10.92 |
% 38.85/10.92 | Combining equations (514,761) yields a new equation:
% 38.85/10.92 | (414) unit = e2
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 414 yields:
% 38.85/10.92 | (415) unit = e2
% 38.85/10.92 |
% 38.85/10.92 | Equations (415) can reduce 622 to:
% 38.85/10.92 | (304) $false
% 38.85/10.92 |
% 38.85/10.92 |-The branch is then unsatisfiable
% 38.85/10.92 |-Branch two:
% 38.85/10.92 | (765) ~ (all_0_76_76 = e2)
% 38.85/10.92 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (853), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (417) all_0_82_82 = e2
% 38.85/10.92 |
% 38.85/10.92 | From (417) and (216) follows:
% 38.85/10.92 | (4217) op(e2, e1) = all_0_50_50
% 38.85/10.92 |
% 38.85/10.92 | From (417) and (154) follows:
% 38.85/10.92 | (4219) op(e1, e2) = all_0_50_50
% 38.85/10.92 |
% 38.85/10.92 | From (417) and (4533) follows:
% 38.85/10.92 | (6263) op(e0, e2) = e1
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e2, e1, all_0_50_50, all_0_78_78 and discharging atoms op(e2, e1) = all_0_50_50, op(e2, e1) = all_0_78_78, yields:
% 38.85/10.92 | (6264) all_0_50_50 = all_0_78_78
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e1, e2, all_0_50_50, all_0_81_81 and discharging atoms op(e1, e2) = all_0_50_50, op(e1, e2) = all_0_81_81, yields:
% 38.85/10.92 | (6265) all_0_50_50 = all_0_81_81
% 38.85/10.92 |
% 38.85/10.92 | Instantiating formula (268) with e0, e2, e1, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e1, yields:
% 38.85/10.92 | (1566) all_0_85_85 = e1
% 38.85/10.92 |
% 38.85/10.92 | Combining equations (6265,6264) yields a new equation:
% 38.85/10.92 | (6267) all_0_78_78 = all_0_81_81
% 38.85/10.92 |
% 38.85/10.92 | Equations (6267) can reduce 527 to:
% 38.85/10.92 | (521) ~ (all_0_81_81 = unit)
% 38.85/10.92 |
% 38.85/10.92 | Equations (1566) can reduce 281 to:
% 38.85/10.92 | (1227) ~ (all_0_81_81 = e1)
% 38.85/10.92 |
% 38.85/10.92 | Equations (1566) can reduce 523 to:
% 38.85/10.92 | (928) ~ (unit = e1)
% 38.85/10.92 |
% 38.85/10.92 | Simplifying 928 yields:
% 38.85/10.92 | (404) ~ (unit = e1)
% 38.85/10.92 |
% 38.85/10.92 +-Applying beta-rule and splitting (706), into two cases.
% 38.85/10.92 |-Branch one:
% 38.85/10.92 | (710) all_0_78_78 = e1
% 38.85/10.92 |
% 38.85/10.92 | Combining equations (6267,710) yields a new equation:
% 38.85/10.93 | (6273) all_0_81_81 = e1
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 6273 yields:
% 38.85/10.93 | (1163) all_0_81_81 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (1163) can reduce 1227 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (709) ~ (all_0_78_78 = e1)
% 38.85/10.93 | (713) all_0_78_78 = e0
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (6267,713) yields a new equation:
% 38.85/10.93 | (6278) all_0_81_81 = e0
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 6278 yields:
% 38.85/10.93 | (1228) all_0_81_81 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (1228) can reduce 521 to:
% 38.85/10.93 | (1031) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 1031 yields:
% 38.85/10.93 | (402) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (766), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (781) all_0_76_76 = e1
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (514,781) yields a new equation:
% 38.85/10.93 | (435) unit = e1
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 435 yields:
% 38.85/10.93 | (436) unit = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (436) can reduce 404 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (797) ~ (all_0_76_76 = e1)
% 38.85/10.93 | (798) all_0_76_76 = e0
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (514,798) yields a new equation:
% 38.85/10.93 | (440) unit = e0
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 440 yields:
% 38.85/10.93 | (441) unit = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (441) can reduce 402 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (427) ~ (all_0_82_82 = e2)
% 38.85/10.93 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1251), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (843) all_0_80_80 = e2
% 38.85/10.93 |
% 38.85/10.93 | Equations (843) can reduce 1103 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1103) ~ (all_0_80_80 = e2)
% 38.85/10.93 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (706), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (710) all_0_78_78 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (710) can reduce 6 to:
% 38.85/10.93 | (4642) ~ (all_0_82_82 = e1)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 4642 yields:
% 38.85/10.93 | (470) ~ (all_0_82_82 = e1)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (866), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (464) all_0_82_82 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (464) can reduce 470 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (470) ~ (all_0_82_82 = e1)
% 38.85/10.93 | (480) all_0_82_82 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (480) can reduce 141 to:
% 38.85/10.93 | (1260) ~ (all_0_80_80 = e0)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1264), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1013) all_0_80_80 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (1013) can reduce 279 to:
% 38.85/10.93 | (3358) ~ (all_0_84_84 = e1)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 3358 yields:
% 38.85/10.93 | (1675) ~ (all_0_84_84 = e1)
% 38.85/10.93 |
% 38.85/10.93 | Equations (1013) can reduce 531 to:
% 38.85/10.93 | (928) ~ (unit = e1)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 928 yields:
% 38.85/10.93 | (404) ~ (unit = e1)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1673), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1085) all_0_84_84 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (1085) can reduce 1675 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1675) ~ (all_0_84_84 = e1)
% 38.85/10.93 | (1280) all_0_84_84 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (1280) can reduce 533 to:
% 38.85/10.93 | (1031) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 1031 yields:
% 38.85/10.93 | (402) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1271), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (436) unit = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (436) can reduce 404 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (404) ~ (unit = e1)
% 38.85/10.93 | (441) unit = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (441) can reduce 402 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.93 | (1268) all_0_80_80 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (1268) can reduce 1260 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (709) ~ (all_0_78_78 = e1)
% 38.85/10.93 | (713) all_0_78_78 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (713) can reduce 6 to:
% 38.85/10.93 | (4681) ~ (all_0_82_82 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 4681 yields:
% 38.85/10.93 | (486) ~ (all_0_82_82 = e0)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (866), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (464) all_0_82_82 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (464) can reduce 141 to:
% 38.85/10.93 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1264), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1013) all_0_80_80 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (1013) can reduce 1087 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1087) ~ (all_0_80_80 = e1)
% 38.85/10.93 | (1268) all_0_80_80 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (1268) can reduce 279 to:
% 38.85/10.93 | (3539) ~ (all_0_84_84 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 3539 yields:
% 38.85/10.93 | (1055) ~ (all_0_84_84 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Equations (1268) can reduce 531 to:
% 38.85/10.93 | (1031) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 1031 yields:
% 38.85/10.93 | (402) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1673), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1085) all_0_84_84 = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (1085) can reduce 533 to:
% 38.85/10.93 | (928) ~ (unit = e1)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 928 yields:
% 38.85/10.93 | (404) ~ (unit = e1)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (1271), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (436) unit = e1
% 38.85/10.93 |
% 38.85/10.93 | Equations (436) can reduce 404 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (404) ~ (unit = e1)
% 38.85/10.93 | (441) unit = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (441) can reduce 402 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1675) ~ (all_0_84_84 = e1)
% 38.85/10.93 | (1280) all_0_84_84 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (1280) can reduce 1055 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (470) ~ (all_0_82_82 = e1)
% 38.85/10.93 | (480) all_0_82_82 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (480) can reduce 486 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (439) all_0_72_72 = e0
% 38.85/10.93 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Equations (439) can reduce 64 to:
% 38.85/10.93 | (1029) ~ (all_0_75_75 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 1029 yields:
% 38.85/10.93 | (1030) ~ (all_0_75_75 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Equations (439) can reduce 515 to:
% 38.85/10.93 | (1031) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 1031 yields:
% 38.85/10.93 | (402) ~ (unit = e0)
% 38.85/10.93 |
% 38.85/10.93 | From (439) and (4) follows:
% 38.85/10.93 | (591) op(e0, e3) = all_0_8_8
% 38.85/10.93 |
% 38.85/10.93 | From (439) and (567) follows:
% 38.85/10.93 | (592) op(e0, e2) = e3
% 38.85/10.93 |
% 38.85/10.93 | From (439) and (2) follows:
% 38.85/10.93 | (594) op(e3, e0) = all_0_8_8
% 38.85/10.93 |
% 38.85/10.93 | From (439) and (570) follows:
% 38.85/10.93 | (595) op(e2, e0) = e3
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 38.85/10.93 | (597) all_0_8_8 = all_0_75_75
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 38.85/10.93 | (598) all_0_79_79 = e3
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 38.85/10.93 | (599) all_0_8_8 = all_0_84_84
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 38.85/10.93 | (600) all_0_85_85 = e3
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (597,599) yields a new equation:
% 38.85/10.93 | (603) all_0_75_75 = all_0_84_84
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 603 yields:
% 38.85/10.93 | (604) all_0_75_75 = all_0_84_84
% 38.85/10.93 |
% 38.85/10.93 | Equations (604) can reduce 519 to:
% 38.85/10.93 | (533) ~ (all_0_84_84 = unit)
% 38.85/10.93 |
% 38.85/10.93 | Equations (604) can reduce 1030 to:
% 38.85/10.93 | (1055) ~ (all_0_84_84 = e0)
% 38.85/10.93 |
% 38.85/10.93 | Equations (600) can reduce 81 to:
% 38.85/10.93 | (1059) ~ (all_0_84_84 = e3)
% 38.85/10.93 |
% 38.85/10.93 | Equations (600) can reduce 523 to:
% 38.85/10.93 | (607) ~ (unit = e3)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 607 yields:
% 38.85/10.93 | (406) ~ (unit = e3)
% 38.85/10.93 |
% 38.85/10.93 | From (598) and (31) follows:
% 38.85/10.93 | (2846) op(e1, e3) = all_0_47_47
% 38.85/10.93 |
% 38.85/10.93 | From (600) and (4528) follows:
% 38.85/10.93 | (837) op(e1, e3) = e2
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e1, e3, all_0_47_47, all_0_80_80 and discharging atoms op(e1, e3) = all_0_47_47, op(e1, e3) = all_0_80_80, yields:
% 38.85/10.93 | (6375) all_0_47_47 = all_0_80_80
% 38.85/10.93 |
% 38.85/10.93 | Instantiating formula (268) with e1, e3, e2, all_0_47_47 and discharging atoms op(e1, e3) = all_0_47_47, op(e1, e3) = e2, yields:
% 38.85/10.93 | (2589) all_0_47_47 = e2
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (2589,6375) yields a new equation:
% 38.85/10.93 | (843) all_0_80_80 = e2
% 38.85/10.93 |
% 38.85/10.93 | Equations (843) can reduce 279 to:
% 38.85/10.93 | (6216) ~ (all_0_84_84 = e2)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 6216 yields:
% 38.85/10.93 | (1050) ~ (all_0_84_84 = e2)
% 38.85/10.93 |
% 38.85/10.93 | Equations (843) can reduce 531 to:
% 38.85/10.93 | (621) ~ (unit = e2)
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 621 yields:
% 38.85/10.93 | (622) ~ (unit = e2)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (123), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1114) all_0_86_86 = e3
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (4472,1114) yields a new equation:
% 38.85/10.93 | (408) unit = e3
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 408 yields:
% 38.85/10.93 | (409) unit = e3
% 38.85/10.93 |
% 38.85/10.93 | Equations (409) can reduce 406 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1061) ~ (all_0_86_86 = e3)
% 38.85/10.93 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (4472) can reduce 1061 to:
% 38.85/10.93 | (406) ~ (unit = e3)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (151), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.93 | (1110) all_0_83_83 = e3
% 38.85/10.93 |
% 38.85/10.93 | Combining equations (4471,1110) yields a new equation:
% 38.85/10.93 | (408) unit = e3
% 38.85/10.93 |
% 38.85/10.93 | Simplifying 408 yields:
% 38.85/10.93 | (409) unit = e3
% 38.85/10.93 |
% 38.85/10.93 | Equations (409) can reduce 406 to:
% 38.85/10.93 | (304) $false
% 38.85/10.93 |
% 38.85/10.93 |-The branch is then unsatisfiable
% 38.85/10.93 |-Branch two:
% 38.85/10.93 | (1058) ~ (all_0_83_83 = e3)
% 38.85/10.93 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 38.85/10.93 |
% 38.85/10.93 | Equations (4471) can reduce 1058 to:
% 38.85/10.93 | (406) ~ (unit = e3)
% 38.85/10.93 |
% 38.85/10.93 +-Applying beta-rule and splitting (71), into two cases.
% 38.85/10.93 |-Branch one:
% 38.85/10.94 | (878) all_0_73_73 = e3
% 38.85/10.94 |
% 38.85/10.94 | Combining equations (878,513) yields a new equation:
% 38.85/10.94 | (409) unit = e3
% 38.85/10.94 |
% 38.85/10.94 | Equations (409) can reduce 406 to:
% 38.85/10.94 | (304) $false
% 38.85/10.94 |
% 38.85/10.94 |-The branch is then unsatisfiable
% 38.85/10.94 |-Branch two:
% 38.85/10.94 | (882) ~ (all_0_73_73 = e3)
% 38.85/10.94 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 38.85/10.94 |
% 38.85/10.94 +-Applying beta-rule and splitting (74), into two cases.
% 38.85/10.94 |-Branch one:
% 38.85/10.94 | (679) all_0_75_75 = e3
% 38.85/10.94 |
% 38.85/10.94 | Combining equations (604,679) yields a new equation:
% 38.85/10.94 | (1072) all_0_84_84 = e3
% 38.85/10.94 |
% 38.85/10.94 | Simplifying 1072 yields:
% 38.85/10.94 | (1073) all_0_84_84 = e3
% 38.85/10.94 |
% 38.85/10.94 | Equations (1073) can reduce 1059 to:
% 38.85/10.94 | (304) $false
% 38.85/10.94 |
% 38.85/10.94 |-The branch is then unsatisfiable
% 38.85/10.94 |-Branch two:
% 38.85/10.94 | (718) ~ (all_0_75_75 = e3)
% 38.85/10.94 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 38.85/10.94 |
% 38.85/10.94 +-Applying beta-rule and splitting (719), into two cases.
% 38.85/10.94 |-Branch one:
% 38.85/10.94 | (736) all_0_75_75 = e2
% 38.85/10.94 |
% 38.85/10.94 | Combining equations (604,736) yields a new equation:
% 38.85/10.94 | (617) all_0_84_84 = e2
% 38.85/10.94 |
% 38.97/10.94 | Simplifying 617 yields:
% 38.97/10.94 | (618) all_0_84_84 = e2
% 38.97/10.94 |
% 38.97/10.94 | Equations (618) can reduce 1050 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (645) ~ (all_0_75_75 = e2)
% 38.97/10.94 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 38.97/10.94 |
% 38.97/10.94 +-Applying beta-rule and splitting (883), into two cases.
% 38.97/10.94 |-Branch one:
% 38.97/10.94 | (884) all_0_73_73 = e2
% 38.97/10.94 |
% 38.97/10.94 | Combining equations (884,513) yields a new equation:
% 38.97/10.94 | (415) unit = e2
% 38.97/10.94 |
% 38.97/10.94 | Equations (415) can reduce 622 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (888) ~ (all_0_73_73 = e2)
% 38.97/10.94 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 38.97/10.94 |
% 38.97/10.94 +-Applying beta-rule and splitting (739), into two cases.
% 38.97/10.94 |-Branch one:
% 38.97/10.94 | (740) all_0_75_75 = e1
% 38.97/10.94 |
% 38.97/10.94 | Combining equations (604,740) yields a new equation:
% 38.97/10.94 | (1084) all_0_84_84 = e1
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 1084 yields:
% 38.97/10.94 | (1085) all_0_84_84 = e1
% 38.97/10.94 |
% 38.97/10.94 | Equations (1085) can reduce 533 to:
% 38.97/10.94 | (928) ~ (unit = e1)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 928 yields:
% 38.97/10.94 | (404) ~ (unit = e1)
% 38.97/10.94 |
% 38.97/10.94 +-Applying beta-rule and splitting (889), into two cases.
% 38.97/10.94 |-Branch one:
% 38.97/10.94 | (890) all_0_73_73 = e1
% 38.97/10.94 |
% 38.97/10.94 | Combining equations (513,890) yields a new equation:
% 38.97/10.94 | (435) unit = e1
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 435 yields:
% 38.97/10.94 | (436) unit = e1
% 38.97/10.94 |
% 38.97/10.94 | Equations (436) can reduce 404 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (894) ~ (all_0_73_73 = e1)
% 38.97/10.94 | (895) all_0_73_73 = e0
% 38.97/10.94 |
% 38.97/10.94 | Combining equations (513,895) yields a new equation:
% 38.97/10.94 | (440) unit = e0
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 440 yields:
% 38.97/10.94 | (441) unit = e0
% 38.97/10.94 |
% 38.97/10.94 | Equations (441) can reduce 402 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (728) ~ (all_0_75_75 = e1)
% 38.97/10.94 | (743) all_0_75_75 = e0
% 38.97/10.94 |
% 38.97/10.94 | Combining equations (604,743) yields a new equation:
% 38.97/10.94 | (1279) all_0_84_84 = e0
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 1279 yields:
% 38.97/10.94 | (1280) all_0_84_84 = e0
% 38.97/10.94 |
% 38.97/10.94 | Equations (1280) can reduce 1055 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (407) all_0_72_72 = e3
% 38.97/10.94 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 38.97/10.94 |
% 38.97/10.94 | Equations (407) can reduce 515 to:
% 38.97/10.94 | (607) ~ (unit = e3)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 607 yields:
% 38.97/10.94 | (406) ~ (unit = e3)
% 38.97/10.94 |
% 38.97/10.94 | From (407) and (570) follows:
% 38.97/10.94 | (903) op(e2, e3) = e3
% 38.97/10.94 |
% 38.97/10.94 | Instantiating formula (268) with e2, e3, e3, unit and discharging atoms op(e2, e3) = unit, op(e2, e3) = e3, yields:
% 38.97/10.94 | (409) unit = e3
% 38.97/10.94 |
% 38.97/10.94 | Equations (409) can reduce 406 to:
% 38.97/10.94 | (304) $false
% 38.97/10.94 |
% 38.97/10.94 |-The branch is then unsatisfiable
% 38.97/10.94 |-Branch two:
% 38.97/10.94 | (307) all_0_6_6 = e2
% 38.97/10.94 | (504) all_0_5_5 = e1
% 38.97/10.94 |
% 38.97/10.94 | Equations (504) can reduce 97 to:
% 38.97/10.94 | (312) ~ (all_0_4_4 = e1)
% 38.97/10.94 |
% 38.97/10.94 | Equations (307) can reduce 212 to:
% 38.97/10.94 | (395) ~ (all_0_4_4 = e2)
% 38.97/10.94 |
% 38.97/10.94 | Equations (504,307) can reduce 277 to:
% 38.97/10.94 | (6448) ~ (e2 = e1)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 6448 yields:
% 38.97/10.94 | (12) ~ (e2 = e1)
% 38.97/10.94 |
% 38.97/10.94 | Equations (504) can reduce 105 to:
% 38.97/10.94 | (314) ~ (all_0_7_7 = e1)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 314 yields:
% 38.97/10.94 | (315) ~ (all_0_7_7 = e1)
% 38.97/10.94 |
% 38.97/10.94 | Equations (307) can reduce 73 to:
% 38.97/10.94 | (6452) ~ (all_0_7_7 = e2)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 6452 yields:
% 38.97/10.94 | (299) ~ (all_0_7_7 = e2)
% 38.97/10.94 |
% 38.97/10.94 | From (504) and (197) follows:
% 38.97/10.94 | (6454) op(e2, e1) = unit
% 38.97/10.94 |
% 38.97/10.94 | From (307) and (114) follows:
% 38.97/10.94 | (6455) op(e1, e2) = unit
% 38.97/10.94 |
% 38.97/10.94 | Instantiating formula (268) with e2, e1, unit, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = unit, yields:
% 38.97/10.94 | (6456) all_0_78_78 = unit
% 38.97/10.94 |
% 38.97/10.94 | Instantiating formula (268) with e1, e2, unit, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = unit, yields:
% 38.97/10.94 | (6457) all_0_81_81 = unit
% 38.97/10.94 |
% 38.97/10.94 | Equations (6457) can reduce 126 to:
% 38.97/10.94 | (525) ~ (all_0_77_77 = unit)
% 38.97/10.94 |
% 38.97/10.94 | Equations (6457) can reduce 276 to:
% 38.97/10.94 | (3145) ~ (all_0_82_82 = unit)
% 38.97/10.94 |
% 38.97/10.94 | Simplifying 3145 yields:
% 38.97/10.94 | (3146) ~ (all_0_82_82 = unit)
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (79) follows:
% 38.97/10.94 | (6461) op(unit, e3) = all_0_32_32
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (62) follows:
% 38.97/10.94 | (6462) op(unit, e2) = all_0_33_33
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (83) follows:
% 38.97/10.94 | (6463) op(unit, e1) = all_0_34_34
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (178) follows:
% 38.97/10.94 | (6464) op(unit, e0) = all_0_35_35
% 38.97/10.94 |
% 38.97/10.94 | From (6457) and (127) follows:
% 38.97/10.94 | (6465) op(unit, e3) = all_0_44_44
% 38.97/10.94 |
% 38.97/10.94 | From (6457) and (116) follows:
% 38.97/10.94 | (6466) op(unit, e2) = all_0_45_45
% 38.97/10.94 |
% 38.97/10.94 | From (6457) and (224) follows:
% 38.97/10.94 | (6467) op(unit, e1) = all_0_46_46
% 38.97/10.94 |
% 38.97/10.94 | From (6457) and (107) follows:
% 38.97/10.94 | (6468) op(unit, e0) = all_0_47_47
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (90) follows:
% 38.97/10.94 | (6469) op(e3, unit) = all_0_14_14
% 38.97/10.94 |
% 38.97/10.94 | From (6457) and (206) follows:
% 38.97/10.94 | (6470) op(e3, unit) = all_0_17_17
% 38.97/10.94 |
% 38.97/10.94 | From (6456) and (264) follows:
% 38.97/10.95 | (6471) op(e2, unit) = all_0_30_30
% 38.97/10.95 |
% 38.97/10.95 | From (6457) and (288) follows:
% 38.97/10.95 | (6472) op(e2, unit) = all_0_33_33
% 38.97/10.95 |
% 38.97/10.95 | From (6456) and (162) follows:
% 38.97/10.95 | (6473) op(e1, unit) = all_0_46_46
% 38.97/10.95 |
% 38.97/10.95 | From (6457) and (150) follows:
% 38.97/10.95 | (6474) op(e1, unit) = all_0_49_49
% 38.97/10.95 |
% 38.97/10.95 | From (6457) and (258) follows:
% 38.97/10.95 | (6455) op(e1, e2) = unit
% 38.97/10.95 |
% 38.97/10.95 | From (6456) and (228) follows:
% 38.97/10.95 | (6476) op(e0, unit) = all_0_62_62
% 38.97/10.95 |
% 38.97/10.95 | From (6457) and (164) follows:
% 38.97/10.95 | (6477) op(e0, unit) = all_0_65_65
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e3, all_0_32_32, e3 and discharging atoms op(unit, e3) = all_0_32_32, op(unit, e3) = e3, yields:
% 38.97/10.95 | (6478) all_0_32_32 = e3
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e3, all_0_44_44, all_0_32_32 and discharging atoms op(unit, e3) = all_0_32_32, op(unit, e3) = all_0_44_44, yields:
% 38.97/10.95 | (4742) all_0_32_32 = all_0_44_44
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e2, all_0_45_45, all_0_33_33 and discharging atoms op(unit, e2) = all_0_33_33, op(unit, e2) = all_0_45_45, yields:
% 38.97/10.95 | (6480) all_0_33_33 = all_0_45_45
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e1, all_0_34_34, e1 and discharging atoms op(unit, e1) = all_0_34_34, op(unit, e1) = e1, yields:
% 38.97/10.95 | (6481) all_0_34_34 = e1
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e1, all_0_46_46, all_0_34_34 and discharging atoms op(unit, e1) = all_0_34_34, op(unit, e1) = all_0_46_46, yields:
% 38.97/10.95 | (3859) all_0_34_34 = all_0_46_46
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e0, all_0_35_35, e0 and discharging atoms op(unit, e0) = all_0_35_35, op(unit, e0) = e0, yields:
% 38.97/10.95 | (6483) all_0_35_35 = e0
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with unit, e0, all_0_47_47, all_0_35_35 and discharging atoms op(unit, e0) = all_0_35_35, op(unit, e0) = all_0_47_47, yields:
% 38.97/10.95 | (6484) all_0_35_35 = all_0_47_47
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e3, unit, all_0_14_14, e3 and discharging atoms op(e3, unit) = all_0_14_14, op(e3, unit) = e3, yields:
% 38.97/10.95 | (6485) all_0_14_14 = e3
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e3, unit, all_0_17_17, all_0_14_14 and discharging atoms op(e3, unit) = all_0_14_14, op(e3, unit) = all_0_17_17, yields:
% 38.97/10.95 | (4730) all_0_14_14 = all_0_17_17
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e2, unit, all_0_30_30, e2 and discharging atoms op(e2, unit) = all_0_30_30, op(e2, unit) = e2, yields:
% 38.97/10.95 | (6487) all_0_30_30 = e2
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e2, unit, all_0_33_33, all_0_30_30 and discharging atoms op(e2, unit) = all_0_30_30, op(e2, unit) = all_0_33_33, yields:
% 38.97/10.95 | (6488) all_0_30_30 = all_0_33_33
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e1, unit, all_0_49_49, all_0_46_46 and discharging atoms op(e1, unit) = all_0_46_46, op(e1, unit) = all_0_49_49, yields:
% 38.97/10.95 | (6489) all_0_46_46 = all_0_49_49
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e0, unit, all_0_62_62, e0 and discharging atoms op(e0, unit) = all_0_62_62, op(e0, unit) = e0, yields:
% 38.97/10.95 | (2990) all_0_62_62 = e0
% 38.97/10.95 |
% 38.97/10.95 | Instantiating formula (268) with e0, unit, all_0_65_65, all_0_62_62 and discharging atoms op(e0, unit) = all_0_62_62, op(e0, unit) = all_0_65_65, yields:
% 38.97/10.95 | (1194) all_0_62_62 = all_0_65_65
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6485,4730) yields a new equation:
% 38.97/10.95 | (6492) all_0_17_17 = e3
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6488,6487) yields a new equation:
% 38.97/10.95 | (6493) all_0_33_33 = e2
% 38.97/10.95 |
% 38.97/10.95 | Simplifying 6493 yields:
% 38.97/10.95 | (6494) all_0_33_33 = e2
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6478,4742) yields a new equation:
% 38.97/10.95 | (6495) all_0_44_44 = e3
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6494,6480) yields a new equation:
% 38.97/10.95 | (6496) all_0_45_45 = e2
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (3859,6481) yields a new equation:
% 38.97/10.95 | (6497) all_0_46_46 = e1
% 38.97/10.95 |
% 38.97/10.95 | Simplifying 6497 yields:
% 38.97/10.95 | (6498) all_0_46_46 = e1
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6483,6484) yields a new equation:
% 38.97/10.95 | (2974) all_0_47_47 = e0
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (6489,6498) yields a new equation:
% 38.97/10.95 | (6500) all_0_49_49 = e1
% 38.97/10.95 |
% 38.97/10.95 | Simplifying 6500 yields:
% 38.97/10.95 | (6501) all_0_49_49 = e1
% 38.97/10.95 |
% 38.97/10.95 | Combining equations (1194,2990) yields a new equation:
% 38.97/10.95 | (1209) all_0_65_65 = e0
% 38.97/10.95 |
% 38.97/10.95 | Simplifying 1209 yields:
% 38.97/10.95 | (1210) all_0_65_65 = e0
% 38.97/10.95 |
% 38.97/10.96 | Combining equations (2974,6484) yields a new equation:
% 38.97/10.96 | (6483) all_0_35_35 = e0
% 38.97/10.96 |
% 38.97/10.96 | Combining equations (6496,6480) yields a new equation:
% 38.97/10.96 | (6494) all_0_33_33 = e2
% 38.97/10.96 |
% 38.97/10.96 | Combining equations (6495,4742) yields a new equation:
% 38.97/10.96 | (6478) all_0_32_32 = e3
% 38.97/10.96 |
% 38.97/10.96 | From (6496) and (6466) follows:
% 38.97/10.96 | (226) op(unit, e2) = e2
% 38.97/10.96 |
% 38.97/10.96 | From (6498) and (6467) follows:
% 38.97/10.96 | (101) op(unit, e1) = e1
% 38.97/10.96 |
% 38.97/10.96 | From (2974) and (6468) follows:
% 38.97/10.96 | (124) op(unit, e0) = e0
% 38.97/10.96 |
% 38.97/10.96 | From (6492) and (6470) follows:
% 38.97/10.96 | (113) op(e3, unit) = e3
% 38.97/10.96 |
% 38.97/10.96 | From (6478) and (109) follows:
% 38.97/10.96 | (6511) op(e2, all_0_80_80) = e3
% 38.97/10.96 |
% 38.97/10.96 | From (6483) and (157) follows:
% 38.97/10.96 | (6512) op(e2, all_0_83_83) = e0
% 38.97/10.96 |
% 38.97/10.96 | From (6494) and (6472) follows:
% 38.97/10.96 | (104) op(e2, unit) = e2
% 38.97/10.96 |
% 38.97/10.96 | From (6495) and (145) follows:
% 38.97/10.96 | (6514) op(e1, all_0_76_76) = e3
% 38.97/10.96 |
% 38.97/10.96 | From (2974) and (31) follows:
% 38.97/10.96 | (6515) op(e1, all_0_79_79) = e0
% 38.97/10.96 |
% 38.97/10.96 | From (6501) and (6474) follows:
% 38.97/10.96 | (39) op(e1, unit) = e1
% 38.97/10.96 |
% 38.97/10.96 | From (1210) and (6477) follows:
% 38.97/10.96 | (8) op(e0, unit) = e0
% 38.97/10.96 |
% 38.97/10.96 +-Applying beta-rule and splitting (171), into two cases.
% 38.97/10.96 |-Branch one:
% 38.97/10.96 | (360) ~ (all_0_4_4 = e0)
% 38.97/10.96 |
% 38.97/10.96 +-Applying beta-rule and splitting (235), into two cases.
% 38.97/10.96 |-Branch one:
% 38.97/10.96 | (397) all_0_4_4 = e3
% 38.97/10.96 |
% 38.97/10.96 | Equations (397) can reduce 179 to:
% 38.97/10.96 | (3108) ~ (all_0_7_7 = e3)
% 38.97/10.96 |
% 38.97/10.96 | Simplifying 3108 yields:
% 38.97/10.96 | (347) ~ (all_0_7_7 = e3)
% 38.97/10.96 |
% 38.97/10.96 | From (397) and (289) follows:
% 38.97/10.96 | (398) op(e3, e3) = unit
% 38.97/10.96 |
% 38.97/10.96 +-Applying beta-rule and splitting (75), into two cases.
% 38.97/10.96 |-Branch one:
% 38.97/10.96 | (348) all_0_7_7 = e3
% 38.97/10.96 |
% 38.97/10.96 | Equations (348) can reduce 347 to:
% 38.97/10.96 | (304) $false
% 38.97/10.96 |
% 38.97/10.96 |-The branch is then unsatisfiable
% 38.97/10.96 |-Branch two:
% 38.97/10.96 | (347) ~ (all_0_7_7 = e3)
% 38.97/10.96 | (351) all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 38.97/10.96 |
% 38.97/10.96 +-Applying beta-rule and splitting (351), into two cases.
% 38.97/10.96 |-Branch one:
% 38.97/10.96 | (352) all_0_7_7 = e2
% 38.97/10.96 |
% 38.97/10.96 | Equations (352) can reduce 299 to:
% 38.97/10.96 | (304) $false
% 38.97/10.96 |
% 38.97/10.96 |-The branch is then unsatisfiable
% 38.97/10.96 |-Branch two:
% 38.97/10.96 | (299) ~ (all_0_7_7 = e2)
% 38.97/10.96 | (355) all_0_7_7 = e1 | all_0_7_7 = e0
% 38.97/10.96 |
% 38.97/10.96 +-Applying beta-rule and splitting (355), into two cases.
% 38.97/10.96 |-Branch one:
% 38.97/10.96 | (356) all_0_7_7 = e1
% 38.97/10.96 |
% 38.97/10.96 | Equations (356) can reduce 315 to:
% 38.97/10.96 | (304) $false
% 38.97/10.96 |
% 38.97/10.96 |-The branch is then unsatisfiable
% 38.97/10.96 |-Branch two:
% 38.97/10.96 | (315) ~ (all_0_7_7 = e1)
% 38.97/10.96 | (359) all_0_7_7 = e0
% 38.97/10.96 |
% 38.97/10.96 | From (359) and (243) follows:
% 38.97/10.96 | (362) op(e0, e0) = unit
% 38.97/10.96 |
% 38.97/10.96 | Instantiating formula (268) with e3, e3, unit, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = unit, yields:
% 38.97/10.96 | (399) all_0_72_72 = unit
% 38.97/10.96 |
% 38.97/10.96 | Instantiating formula (268) with e0, e0, unit, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = unit, yields:
% 38.97/10.96 | (363) all_0_87_87 = unit
% 38.97/10.96 |
% 38.97/10.96 | Equations (399) can reduce 17 to:
% 38.97/10.96 | (6538) ~ (all_0_73_73 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Simplifying 6538 yields:
% 38.97/10.96 | (1725) ~ (all_0_73_73 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (399) can reduce 134 to:
% 38.97/10.96 | (516) ~ (all_0_74_74 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Simplifying 516 yields:
% 38.97/10.96 | (517) ~ (all_0_74_74 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (399) can reduce 249 to:
% 38.97/10.96 | (6542) ~ (all_0_76_76 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Simplifying 6542 yields:
% 38.97/10.96 | (1729) ~ (all_0_76_76 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (399) can reduce 292 to:
% 38.97/10.96 | (530) ~ (all_0_80_80 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Simplifying 530 yields:
% 38.97/10.96 | (531) ~ (all_0_80_80 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (363) can reduce 146 to:
% 38.97/10.96 | (529) ~ (all_0_79_79 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (363) can reduce 182 to:
% 38.97/10.96 | (364) ~ (all_0_83_83 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (363) can reduce 156 to:
% 38.97/10.96 | (523) ~ (all_0_85_85 = unit)
% 38.97/10.96 |
% 38.97/10.96 | Equations (363) can reduce 234 to:
% 38.97/10.96 | (365) ~ (all_0_86_86 = unit)
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (4) follows:
% 38.97/10.96 | (4563) op(unit, e3) = all_0_8_8
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (3) follows:
% 38.97/10.96 | (6551) op(unit, e2) = all_0_9_9
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (35) follows:
% 38.97/10.96 | (4564) op(unit, e1) = all_0_10_10
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (59) follows:
% 38.97/10.96 | (366) op(unit, e3) = all_0_68_68
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (255) follows:
% 38.97/10.96 | (367) op(unit, e2) = all_0_69_69
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (61) follows:
% 38.97/10.96 | (368) op(unit, e1) = all_0_70_70
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (225) follows:
% 38.97/10.96 | (369) op(unit, e0) = all_0_71_71
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (2) follows:
% 38.97/10.96 | (4570) op(e3, unit) = all_0_8_8
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (158) follows:
% 38.97/10.96 | (370) op(e3, unit) = all_0_23_23
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (149) follows:
% 38.97/10.96 | (4572) op(e2, unit) = all_0_24_24
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (103) follows:
% 38.97/10.96 | (3173) op(e2, unit) = all_0_39_39
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (82) follows:
% 38.97/10.96 | (4574) op(e1, unit) = all_0_40_40
% 38.97/10.96 |
% 38.97/10.96 | From (363) and (203) follows:
% 38.97/10.96 | (6562) op(e1, unit) = all_0_55_55
% 38.97/10.96 |
% 38.97/10.96 | From (399) and (196) follows:
% 38.97/10.96 | (4576) op(e0, unit) = all_0_56_56
% 38.97/10.97 |
% 38.97/10.97 | From (363) and (55) follows:
% 38.97/10.97 | (371) op(e0, unit) = all_0_71_71
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with unit, e3, all_0_68_68, all_0_8_8 and discharging atoms op(unit, e3) = all_0_8_8, op(unit, e3) = all_0_68_68, yields:
% 38.97/10.97 | (6565) all_0_8_8 = all_0_68_68
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with unit, e2, all_0_9_9, e2 and discharging atoms op(unit, e2) = all_0_9_9, op(unit, e2) = e2, yields:
% 38.97/10.97 | (6566) all_0_9_9 = e2
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with unit, e2, all_0_69_69, all_0_9_9 and discharging atoms op(unit, e2) = all_0_9_9, op(unit, e2) = all_0_69_69, yields:
% 38.97/10.97 | (6567) all_0_9_9 = all_0_69_69
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with unit, e1, all_0_10_10, e1 and discharging atoms op(unit, e1) = all_0_10_10, op(unit, e1) = e1, yields:
% 38.97/10.97 | (4579) all_0_10_10 = e1
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with unit, e1, all_0_70_70, all_0_10_10 and discharging atoms op(unit, e1) = all_0_10_10, op(unit, e1) = all_0_70_70, yields:
% 38.97/10.97 | (6569) all_0_10_10 = all_0_70_70
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e3, unit, all_0_8_8, e3 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = e3, yields:
% 38.97/10.97 | (4583) all_0_8_8 = e3
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e3, unit, all_0_23_23, all_0_8_8 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = all_0_23_23, yields:
% 38.97/10.97 | (6571) all_0_8_8 = all_0_23_23
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e2, unit, all_0_24_24, e2 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = e2, yields:
% 38.97/10.97 | (4585) all_0_24_24 = e2
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e2, unit, all_0_39_39, all_0_24_24 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = all_0_39_39, yields:
% 38.97/10.97 | (6573) all_0_24_24 = all_0_39_39
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e1, unit, all_0_40_40, e1 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = e1, yields:
% 38.97/10.97 | (4587) all_0_40_40 = e1
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e1, unit, all_0_55_55, all_0_40_40 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = all_0_55_55, yields:
% 38.97/10.97 | (6575) all_0_40_40 = all_0_55_55
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e0, unit, all_0_56_56, e0 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = e0, yields:
% 38.97/10.97 | (4589) all_0_56_56 = e0
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e0, unit, all_0_71_71, all_0_56_56 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = all_0_71_71, yields:
% 38.97/10.97 | (6577) all_0_56_56 = all_0_71_71
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (6565,6571) yields a new equation:
% 38.97/10.97 | (6578) all_0_23_23 = all_0_68_68
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (4583,6571) yields a new equation:
% 38.97/10.97 | (376) all_0_23_23 = e3
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (6566,6567) yields a new equation:
% 38.97/10.97 | (374) all_0_69_69 = e2
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (4579,6569) yields a new equation:
% 38.97/10.97 | (375) all_0_70_70 = e1
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (376,6578) yields a new equation:
% 38.97/10.97 | (373) all_0_68_68 = e3
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (4585,6573) yields a new equation:
% 38.97/10.97 | (2379) all_0_39_39 = e2
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (4587,6575) yields a new equation:
% 38.97/10.97 | (2756) all_0_55_55 = e1
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (6577,4589) yields a new equation:
% 38.97/10.97 | (2597) all_0_71_71 = e0
% 38.97/10.97 |
% 38.97/10.97 | Simplifying 2597 yields:
% 38.97/10.97 | (377) all_0_71_71 = e0
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (373,6578) yields a new equation:
% 38.97/10.97 | (376) all_0_23_23 = e3
% 38.97/10.97 |
% 38.97/10.97 | From (373) and (366) follows:
% 38.97/10.97 | (256) op(unit, e3) = e3
% 38.97/10.97 |
% 38.97/10.97 | From (374) and (367) follows:
% 38.97/10.97 | (226) op(unit, e2) = e2
% 38.97/10.97 |
% 38.97/10.97 | From (375) and (368) follows:
% 38.97/10.97 | (101) op(unit, e1) = e1
% 38.97/10.97 |
% 38.97/10.97 | From (377) and (369) follows:
% 38.97/10.97 | (124) op(unit, e0) = e0
% 38.97/10.97 |
% 38.97/10.97 | From (376) and (370) follows:
% 38.97/10.97 | (113) op(e3, unit) = e3
% 38.97/10.97 |
% 38.97/10.97 | From (2379) and (3173) follows:
% 38.97/10.97 | (104) op(e2, unit) = e2
% 38.97/10.97 |
% 38.97/10.97 | From (2756) and (6562) follows:
% 38.97/10.97 | (39) op(e1, unit) = e1
% 38.97/10.97 |
% 38.97/10.97 | From (377) and (371) follows:
% 38.97/10.97 | (8) op(e0, unit) = e0
% 38.97/10.97 |
% 38.97/10.97 +-Applying beta-rule and splitting (86), into two cases.
% 38.97/10.97 |-Branch one:
% 38.97/10.97 | (6596) ~ (all_0_3_3 = e0)
% 38.97/10.97 |
% 38.97/10.97 +-Applying beta-rule and splitting (174), into two cases.
% 38.97/10.97 |-Branch one:
% 38.97/10.97 | (6597) ~ (all_0_3_3 = e3)
% 38.97/10.97 |
% 38.97/10.97 +-Applying beta-rule and splitting (147), into two cases.
% 38.97/10.97 |-Branch one:
% 38.97/10.97 | (419) ~ (all_0_72_72 = e2)
% 38.97/10.97 |
% 38.97/10.97 | Equations (399) can reduce 419 to:
% 38.97/10.97 | (622) ~ (unit = e2)
% 38.97/10.97 |
% 38.97/10.97 +-Applying beta-rule and splitting (230), into two cases.
% 38.97/10.97 |-Branch one:
% 38.97/10.97 | (403) ~ (all_0_72_72 = e1)
% 38.97/10.97 |
% 38.97/10.97 | Equations (399) can reduce 403 to:
% 38.97/10.97 | (404) ~ (unit = e1)
% 38.97/10.97 |
% 38.97/10.97 +-Applying beta-rule and splitting (24), into two cases.
% 38.97/10.97 |-Branch one:
% 38.97/10.97 | (407) all_0_72_72 = e3
% 38.97/10.97 |
% 38.97/10.97 | Combining equations (407,399) yields a new equation:
% 38.97/10.97 | (409) unit = e3
% 38.97/10.97 |
% 38.97/10.97 | Equations (409) can reduce 525 to:
% 38.97/10.97 | (450) ~ (all_0_77_77 = e3)
% 38.97/10.97 |
% 38.97/10.97 | Equations (409) can reduce 529 to:
% 38.97/10.97 | (659) ~ (all_0_79_79 = e3)
% 38.97/10.97 |
% 38.97/10.97 | Equations (409) can reduce 3146 to:
% 38.97/10.97 | (454) ~ (all_0_82_82 = e3)
% 38.97/10.97 |
% 38.97/10.97 | Equations (409) can reduce 364 to:
% 38.97/10.97 | (1058) ~ (all_0_83_83 = e3)
% 38.97/10.97 |
% 38.97/10.97 | Equations (409) can reduce 523 to:
% 38.97/10.97 | (1436) ~ (all_0_85_85 = e3)
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (226) follows:
% 38.97/10.97 | (4622) op(e3, e2) = e2
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (101) follows:
% 38.97/10.97 | (4623) op(e3, e1) = e1
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (124) follows:
% 38.97/10.97 | (4624) op(e3, e0) = e0
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (104) follows:
% 38.97/10.97 | (2376) op(e2, e3) = e2
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (39) follows:
% 38.97/10.97 | (1010) op(e1, e3) = e1
% 38.97/10.97 |
% 38.97/10.97 | From (409) and (8) follows:
% 38.97/10.97 | (1357) op(e0, e3) = e0
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 38.97/10.97 | (884) all_0_73_73 = e2
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 38.97/10.97 | (707) all_0_74_74 = e1
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 38.97/10.97 | (743) all_0_75_75 = e0
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 38.97/10.97 | (761) all_0_76_76 = e2
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 38.97/10.97 | (1013) all_0_80_80 = e1
% 38.97/10.97 |
% 38.97/10.97 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 38.97/10.97 | (1280) all_0_84_84 = e0
% 38.97/10.97 |
% 38.97/10.97 | Equations (884) can reduce 296 to:
% 38.97/10.98 | (3583) ~ (all_0_85_85 = e2)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 3583 yields:
% 38.97/10.98 | (1498) ~ (all_0_85_85 = e2)
% 38.97/10.98 |
% 38.97/10.98 | Equations (743) can reduce 118 to:
% 38.97/10.98 | (744) ~ (all_0_79_79 = e0)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 744 yields:
% 38.97/10.98 | (745) ~ (all_0_79_79 = e0)
% 38.97/10.98 |
% 38.97/10.98 | Equations (743) can reduce 88 to:
% 38.97/10.98 | (1469) ~ (all_0_83_83 = e0)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 1469 yields:
% 38.97/10.98 | (1470) ~ (all_0_83_83 = e0)
% 38.97/10.98 |
% 38.97/10.98 | Equations (761) can reduce 96 to:
% 38.97/10.98 | (6627) ~ (all_0_77_77 = e2)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 6627 yields:
% 38.97/10.98 | (423) ~ (all_0_77_77 = e2)
% 38.97/10.98 |
% 38.97/10.98 | Equations (1013) can reduce 141 to:
% 38.97/10.98 | (4642) ~ (all_0_82_82 = e1)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 4642 yields:
% 38.97/10.98 | (470) ~ (all_0_82_82 = e1)
% 38.97/10.98 |
% 38.97/10.98 | Equations (1013) can reduce 217 to:
% 38.97/10.98 | (1915) ~ (all_0_83_83 = e1)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 1915 yields:
% 38.97/10.98 | (1088) ~ (all_0_83_83 = e1)
% 38.97/10.98 |
% 38.97/10.98 | Equations (1280) can reduce 81 to:
% 38.97/10.98 | (4105) ~ (all_0_85_85 = e0)
% 38.97/10.98 |
% 38.97/10.98 | Simplifying 4105 yields:
% 38.97/10.98 | (1941) ~ (all_0_85_85 = e0)
% 38.97/10.98 |
% 38.97/10.98 | From (884) and (121) follows:
% 38.97/10.98 | (6635) op(e2, e0) = all_0_15_15
% 38.97/10.98 |
% 38.97/10.98 | From (707) and (67) follows:
% 38.97/10.98 | (6636) op(e1, e3) = all_0_16_16
% 38.97/10.98 |
% 38.97/10.98 | From (1013) and (159) follows:
% 38.97/10.98 | (6637) op(e3, e1) = all_0_16_16
% 38.97/10.98 |
% 38.97/10.98 | From (707) and (285) follows:
% 38.97/10.98 | (4651) op(e2, e1) = all_0_26_26
% 38.97/10.98 |
% 38.97/10.98 | From (743) and (53) follows:
% 38.97/10.98 | (6639) op(e2, e0) = all_0_27_27
% 38.97/10.98 |
% 38.97/10.98 | From (1013) and (6511) follows:
% 38.97/10.98 | (820) op(e2, e1) = e3
% 38.97/10.98 |
% 38.97/10.98 | From (1280) and (65) follows:
% 38.97/10.98 | (6641) op(e2, e0) = all_0_36_36
% 38.97/10.98 |
% 38.97/10.98 | From (884) and (63) follows:
% 38.97/10.98 | (4653) op(e1, e2) = all_0_41_41
% 38.97/10.98 |
% 38.97/10.98 | From (1013) and (213) follows:
% 38.97/10.98 | (1010) op(e1, e3) = e1
% 38.97/10.98 |
% 38.97/10.98 | From (884) and (56) follows:
% 38.97/10.98 | (6644) op(e0, e2) = all_0_57_57
% 38.97/10.98 |
% 38.97/10.98 | From (743) and (282) follows:
% 38.97/10.98 | (6645) op(e0, e0) = all_0_59_59
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (23), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (600) all_0_85_85 = e3
% 38.97/10.98 |
% 38.97/10.98 | Equations (600) can reduce 1436 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (1436) ~ (all_0_85_85 = e3)
% 38.97/10.98 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (151), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (1110) all_0_83_83 = e3
% 38.97/10.98 |
% 38.97/10.98 | Equations (1110) can reduce 1058 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (1058) ~ (all_0_83_83 = e3)
% 38.97/10.98 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (184), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (598) all_0_79_79 = e3
% 38.97/10.98 |
% 38.97/10.98 | Equations (598) can reduce 659 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (659) ~ (all_0_79_79 = e3)
% 38.97/10.98 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (1113), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (1125) all_0_83_83 = e2
% 38.97/10.98 |
% 38.97/10.98 | Equations (1125) can reduce 44 to:
% 38.97/10.98 | (730) ~ (all_0_79_79 = e2)
% 38.97/10.98 |
% 38.97/10.98 | Equations (1125) can reduce 214 to:
% 38.97/10.98 | (427) ~ (all_0_82_82 = e2)
% 38.97/10.98 |
% 38.97/10.98 | From (1125) and (271) follows:
% 38.97/10.98 | (6661) op(e1, e2) = all_0_51_51
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (241), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (448) all_0_82_82 = e3
% 38.97/10.98 |
% 38.97/10.98 | Equations (448) can reduce 454 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (454) ~ (all_0_82_82 = e3)
% 38.97/10.98 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (853), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (417) all_0_82_82 = e2
% 38.97/10.98 |
% 38.97/10.98 | Equations (417) can reduce 427 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (427) ~ (all_0_82_82 = e2)
% 38.97/10.98 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (866), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (464) all_0_82_82 = e1
% 38.97/10.98 |
% 38.97/10.98 | Equations (464) can reduce 470 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (470) ~ (all_0_82_82 = e1)
% 38.97/10.98 | (480) all_0_82_82 = e0
% 38.97/10.98 |
% 38.97/10.98 | From (480) and (136) follows:
% 38.97/10.98 | (3844) op(e0, e0) = all_0_51_51
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (1546), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (1558) all_0_85_85 = e2
% 38.97/10.98 |
% 38.97/10.98 | Equations (1558) can reduce 1498 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (1498) ~ (all_0_85_85 = e2)
% 38.97/10.98 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (735), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (687) all_0_79_79 = e2
% 38.97/10.98 |
% 38.97/10.98 | Equations (687) can reduce 730 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (730) ~ (all_0_79_79 = e2)
% 38.97/10.98 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (749), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (750) all_0_79_79 = e1
% 38.97/10.98 |
% 38.97/10.98 | From (750) and (87) follows:
% 38.97/10.98 | (6684) op(e1, e3) = all_0_36_36
% 38.97/10.98 |
% 38.97/10.98 | From (750) and (227) follows:
% 38.97/10.98 | (6685) op(e3, e1) = all_0_15_15
% 38.97/10.98 |
% 38.97/10.98 | From (750) and (252) follows:
% 38.97/10.98 | (6686) op(e2, e1) = all_0_31_31
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (94), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (449) all_0_77_77 = e3
% 38.97/10.98 |
% 38.97/10.98 | Equations (449) can reduce 450 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (450) ~ (all_0_77_77 = e3)
% 38.97/10.98 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (1561), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (1566) all_0_85_85 = e1
% 38.97/10.98 |
% 38.97/10.98 | Equations (1566) can reduce 85 to:
% 38.97/10.98 | (466) ~ (all_0_77_77 = e1)
% 38.97/10.98 |
% 38.97/10.98 | From (1566) and (186) follows:
% 38.97/10.98 | (6693) op(e1, e2) = all_0_61_61
% 38.97/10.98 |
% 38.97/10.98 | From (1566) and (115) follows:
% 38.97/10.98 | (6694) op(e3, e1) = all_0_21_21
% 38.97/10.98 |
% 38.97/10.98 | From (1566) and (207) follows:
% 38.97/10.98 | (4671) op(e2, e1) = all_0_37_37
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (1169), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (418) all_0_77_77 = e2
% 38.97/10.98 |
% 38.97/10.98 | Equations (418) can reduce 423 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (423) ~ (all_0_77_77 = e2)
% 38.97/10.98 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 38.97/10.98 |
% 38.97/10.98 +-Applying beta-rule and splitting (1176), into two cases.
% 38.97/10.98 |-Branch one:
% 38.97/10.98 | (465) all_0_77_77 = e1
% 38.97/10.98 |
% 38.97/10.98 | Equations (465) can reduce 466 to:
% 38.97/10.98 | (304) $false
% 38.97/10.98 |
% 38.97/10.98 |-The branch is then unsatisfiable
% 38.97/10.98 |-Branch two:
% 38.97/10.98 | (466) ~ (all_0_77_77 = e1)
% 38.97/10.98 | (481) all_0_77_77 = e0
% 38.97/10.98 |
% 38.97/10.98 | From (481) and (247) follows:
% 38.97/10.98 | (1183) op(e0, e2) = all_0_29_29
% 38.97/10.98 |
% 38.97/10.98 | From (481) and (200) follows:
% 38.97/10.98 | (1184) op(e0, e0) = all_0_31_31
% 38.97/10.98 |
% 38.97/10.98 | From (481) and (14) follows:
% 38.97/10.98 | (6706) op(e2, e0) = all_0_29_29
% 38.97/10.98 |
% 38.97/10.98 | Instantiating formula (268) with e3, e1, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e1) = all_0_15_15, op(e3, e1) = all_0_16_16, yields:
% 38.97/10.98 | (2967) all_0_15_15 = all_0_16_16
% 38.97/10.98 |
% 38.97/10.98 | Instantiating formula (268) with e3, e1, all_0_21_21, all_0_16_16 and discharging atoms op(e3, e1) = all_0_16_16, op(e3, e1) = all_0_21_21, yields:
% 38.97/10.98 | (1581) all_0_16_16 = all_0_21_21
% 38.97/10.98 |
% 38.97/10.98 | Instantiating formula (268) with e2, e1, all_0_26_26, e3 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = e3, yields:
% 38.97/10.99 | (6709) all_0_26_26 = e3
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e2, e1, all_0_31_31, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_31_31, yields:
% 38.97/10.99 | (6710) all_0_26_26 = all_0_31_31
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e2, e1, all_0_37_37, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_37_37, yields:
% 38.97/10.99 | (4736) all_0_26_26 = all_0_37_37
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e2, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e2, e0) = all_0_15_15, op(e2, e0) = all_0_27_27, yields:
% 38.97/10.99 | (553) all_0_15_15 = all_0_27_27
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e2, e0, all_0_36_36, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, op(e2, e0) = all_0_36_36, yields:
% 38.97/10.99 | (1786) all_0_29_29 = all_0_36_36
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e1, e3, all_0_16_16, e1 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = e1, yields:
% 38.97/10.99 | (945) all_0_16_16 = e1
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e1, e3, all_0_36_36, all_0_16_16 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = all_0_36_36, yields:
% 38.97/10.99 | (6715) all_0_16_16 = all_0_36_36
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e1, e2, all_0_51_51, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_51_51, yields:
% 38.97/10.99 | (6716) all_0_41_41 = all_0_51_51
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e1, e2, all_0_61_61, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_61_61, yields:
% 38.97/10.99 | (6717) all_0_41_41 = all_0_61_61
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e0, e2, all_0_57_57, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_57_57, yields:
% 38.97/10.99 | (1780) all_0_29_29 = all_0_57_57
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e0, e0, all_0_59_59, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = all_0_59_59, yields:
% 38.97/10.99 | (6719) all_0_31_31 = all_0_59_59
% 38.97/10.99 |
% 38.97/10.99 | Instantiating formula (268) with e0, e0, all_0_59_59, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = all_0_59_59, yields:
% 38.97/10.99 | (4250) all_0_51_51 = all_0_59_59
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (2967,553) yields a new equation:
% 38.97/10.99 | (6721) all_0_16_16 = all_0_27_27
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 6721 yields:
% 38.97/10.99 | (6722) all_0_16_16 = all_0_27_27
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (945,1581) yields a new equation:
% 38.97/10.99 | (6723) all_0_21_21 = e1
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6722,1581) yields a new equation:
% 38.97/10.99 | (6724) all_0_21_21 = all_0_27_27
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6715,1581) yields a new equation:
% 38.97/10.99 | (6725) all_0_21_21 = all_0_36_36
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6725,6724) yields a new equation:
% 38.97/10.99 | (1775) all_0_27_27 = all_0_36_36
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6723,6724) yields a new equation:
% 38.97/10.99 | (6727) all_0_27_27 = e1
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (4736,6710) yields a new equation:
% 38.97/10.99 | (1190) all_0_31_31 = all_0_37_37
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6709,6710) yields a new equation:
% 38.97/10.99 | (6729) all_0_31_31 = e3
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (1775,6727) yields a new equation:
% 38.97/10.99 | (6730) all_0_36_36 = e1
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 6730 yields:
% 38.97/10.99 | (6731) all_0_36_36 = e1
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (1786,1780) yields a new equation:
% 38.97/10.99 | (1789) all_0_36_36 = all_0_57_57
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 1789 yields:
% 38.97/10.99 | (1790) all_0_36_36 = all_0_57_57
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6719,1190) yields a new equation:
% 38.97/10.99 | (6734) all_0_37_37 = all_0_59_59
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6729,1190) yields a new equation:
% 38.97/10.99 | (6735) all_0_37_37 = e3
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (1790,6731) yields a new equation:
% 38.97/10.99 | (6736) all_0_57_57 = e1
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 6736 yields:
% 38.97/10.99 | (6737) all_0_57_57 = e1
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6734,6735) yields a new equation:
% 38.97/10.99 | (4258) all_0_59_59 = e3
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 4258 yields:
% 38.97/10.99 | (4259) all_0_59_59 = e3
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (6716,6717) yields a new equation:
% 38.97/10.99 | (6740) all_0_51_51 = all_0_61_61
% 38.97/10.99 |
% 38.97/10.99 | Simplifying 6740 yields:
% 38.97/10.99 | (6741) all_0_51_51 = all_0_61_61
% 38.97/10.99 |
% 38.97/10.99 | Combining equations (4250,6741) yields a new equation:
% 38.97/10.99 | (6742) all_0_59_59 = all_0_61_61
% 38.97/10.99 |
% 38.97/11.00 | Simplifying 6742 yields:
% 38.97/11.00 | (6743) all_0_59_59 = all_0_61_61
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (4259,6743) yields a new equation:
% 38.97/11.00 | (6744) all_0_61_61 = e3
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6737,1780) yields a new equation:
% 38.97/11.00 | (6745) all_0_29_29 = e1
% 38.97/11.00 |
% 38.97/11.00 | From (6745) and (287) follows:
% 38.97/11.00 | (6746) op(e1, e2) = all_0_3_3
% 38.97/11.00 |
% 38.97/11.00 | From (6744) and (6693) follows:
% 38.97/11.00 | (817) op(e1, e2) = e3
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e1, e2, all_0_3_3, e3 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = e3, yields:
% 38.97/11.00 | (6748) all_0_3_3 = e3
% 38.97/11.00 |
% 38.97/11.00 | Equations (6748) can reduce 6597 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1540) ~ (all_0_85_85 = e1)
% 38.97/11.00 | (1569) all_0_85_85 = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (1569) can reduce 1941 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (731) ~ (all_0_79_79 = e1)
% 38.97/11.00 | (753) all_0_79_79 = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (753) can reduce 745 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1105) ~ (all_0_83_83 = e2)
% 38.97/11.00 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 38.97/11.00 |
% 38.97/11.00 +-Applying beta-rule and splitting (1128), into two cases.
% 38.97/11.00 |-Branch one:
% 38.97/11.00 | (1133) all_0_83_83 = e1
% 38.97/11.00 |
% 38.97/11.00 | Equations (1133) can reduce 1088 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1088) ~ (all_0_83_83 = e1)
% 38.97/11.00 | (1136) all_0_83_83 = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (1136) can reduce 1470 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (405) ~ (all_0_72_72 = e3)
% 38.97/11.00 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (399) can reduce 405 to:
% 38.97/11.00 | (406) ~ (unit = e3)
% 38.97/11.00 |
% 38.97/11.00 +-Applying beta-rule and splitting (50), into two cases.
% 38.97/11.00 |-Branch one:
% 38.97/11.00 | (695) all_0_78_78 = e3
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6456,695) yields a new equation:
% 38.97/11.00 | (408) unit = e3
% 38.97/11.00 |
% 38.97/11.00 | Simplifying 408 yields:
% 38.97/11.00 | (409) unit = e3
% 38.97/11.00 |
% 38.97/11.00 | Equations (409) can reduce 406 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (657) ~ (all_0_78_78 = e3)
% 38.97/11.00 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (6456) can reduce 657 to:
% 38.97/11.00 | (406) ~ (unit = e3)
% 38.97/11.00 |
% 38.97/11.00 +-Applying beta-rule and splitting (176), into two cases.
% 38.97/11.00 |-Branch one:
% 38.97/11.00 | (825) all_0_81_81 = e3
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6457,825) yields a new equation:
% 38.97/11.00 | (408) unit = e3
% 38.97/11.00 |
% 38.97/11.00 | Simplifying 408 yields:
% 38.97/11.00 | (409) unit = e3
% 38.97/11.00 |
% 38.97/11.00 | Equations (409) can reduce 406 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1120) ~ (all_0_81_81 = e3)
% 38.97/11.00 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 38.97/11.00 |
% 38.97/11.00 +-Applying beta-rule and splitting (1142), into two cases.
% 38.97/11.00 |-Branch one:
% 38.97/11.00 | (1155) all_0_81_81 = e2
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6457,1155) yields a new equation:
% 38.97/11.00 | (414) unit = e2
% 38.97/11.00 |
% 38.97/11.00 | Simplifying 414 yields:
% 38.97/11.00 | (415) unit = e2
% 38.97/11.00 |
% 38.97/11.00 | Equations (415) can reduce 622 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1104) ~ (all_0_81_81 = e2)
% 38.97/11.00 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 38.97/11.00 |
% 38.97/11.00 +-Applying beta-rule and splitting (1158), into two cases.
% 38.97/11.00 |-Branch one:
% 38.97/11.00 | (1163) all_0_81_81 = e1
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6457,1163) yields a new equation:
% 38.97/11.00 | (435) unit = e1
% 38.97/11.00 |
% 38.97/11.00 | Simplifying 435 yields:
% 38.97/11.00 | (436) unit = e1
% 38.97/11.00 |
% 38.97/11.00 | Equations (436) can reduce 404 to:
% 38.97/11.00 | (304) $false
% 38.97/11.00 |
% 38.97/11.00 |-The branch is then unsatisfiable
% 38.97/11.00 |-Branch two:
% 38.97/11.00 | (1227) ~ (all_0_81_81 = e1)
% 38.97/11.00 | (1228) all_0_81_81 = e0
% 38.97/11.00 |
% 38.97/11.00 | Combining equations (6457,1228) yields a new equation:
% 38.97/11.00 | (440) unit = e0
% 38.97/11.00 |
% 38.97/11.00 | Simplifying 440 yields:
% 38.97/11.00 | (441) unit = e0
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 1725 to:
% 38.97/11.00 | (1832) ~ (all_0_73_73 = e0)
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 517 to:
% 38.97/11.00 | (688) ~ (all_0_74_74 = e0)
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 1729 to:
% 38.97/11.00 | (1836) ~ (all_0_76_76 = e0)
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 525 to:
% 38.97/11.00 | (482) ~ (all_0_77_77 = e0)
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 531 to:
% 38.97/11.00 | (1260) ~ (all_0_80_80 = e0)
% 38.97/11.00 |
% 38.97/11.00 | Equations (441) can reduce 3146 to:
% 38.97/11.00 | (486) ~ (all_0_82_82 = e0)
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (256) follows:
% 38.97/11.00 | (1356) op(e0, e3) = e3
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (226) follows:
% 38.97/11.00 | (4183) op(e0, e2) = e2
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (101) follows:
% 38.97/11.00 | (2491) op(e0, e1) = e1
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (113) follows:
% 38.97/11.00 | (2905) op(e3, e0) = e3
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (104) follows:
% 38.97/11.00 | (6235) op(e2, e0) = e2
% 38.97/11.00 |
% 38.97/11.00 | From (441) and (39) follows:
% 38.97/11.00 | (1525) op(e1, e0) = e1
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e3, e0, e3, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e3, yields:
% 38.97/11.00 | (679) all_0_75_75 = e3
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e2, e0, e2, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e2, yields:
% 38.97/11.00 | (687) all_0_79_79 = e2
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e1, e0, e1, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e1, yields:
% 38.97/11.00 | (1133) all_0_83_83 = e1
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 38.97/11.00 | (1073) all_0_84_84 = e3
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e0, e2, e2, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e2, yields:
% 38.97/11.00 | (1558) all_0_85_85 = e2
% 38.97/11.00 |
% 38.97/11.00 | Instantiating formula (268) with e0, e1, e1, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e1, yields:
% 38.97/11.00 | (1143) all_0_86_86 = e1
% 38.97/11.00 |
% 38.97/11.00 | Equations (679) can reduce 106 to:
% 38.97/11.00 | (882) ~ (all_0_73_73 = e3)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1558) can reduce 296 to:
% 38.97/11.00 | (888) ~ (all_0_73_73 = e2)
% 38.97/11.00 |
% 38.97/11.00 | Equations (679) can reduce 140 to:
% 38.97/11.00 | (680) ~ (all_0_74_74 = e3)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1073) can reduce 202 to:
% 38.97/11.00 | (677) ~ (all_0_76_76 = e3)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1558) can reduce 85 to:
% 38.97/11.00 | (423) ~ (all_0_77_77 = e2)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1133) can reduce 217 to:
% 38.97/11.00 | (1087) ~ (all_0_80_80 = e1)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1073) can reduce 279 to:
% 38.97/11.00 | (1250) ~ (all_0_80_80 = e3)
% 38.97/11.00 |
% 38.97/11.00 | Equations (1143) can reduce 284 to:
% 38.97/11.00 | (470) ~ (all_0_82_82 = e1)
% 38.97/11.00 |
% 38.97/11.00 | From (1073) and (260) follows:
% 38.97/11.00 | (6819) op(e3, e2) = all_0_57_57
% 38.97/11.00 |
% 38.97/11.00 | From (1558) and (244) follows:
% 38.97/11.00 | (2551) op(e2, e3) = all_0_60_60
% 38.97/11.00 |
% 38.97/11.00 | From (687) and (227) follows:
% 38.97/11.00 | (6821) op(e3, e2) = all_0_15_15
% 38.97/11.00 |
% 38.97/11.00 | From (1073) and (95) follows:
% 38.97/11.00 | (681) op(e3, e3) = all_0_20_20
% 38.97/11.00 |
% 38.97/11.00 | From (1558) and (115) follows:
% 38.97/11.00 | (6823) op(e3, e2) = all_0_21_21
% 38.97/11.00 |
% 38.97/11.00 | From (679) and (53) follows:
% 38.97/11.01 | (6824) op(e2, e3) = all_0_27_27
% 38.97/11.01 |
% 38.97/11.01 | From (1133) and (6512) follows:
% 38.97/11.01 | (6825) op(e2, e1) = e0
% 38.97/11.01 |
% 38.97/11.01 | From (1143) and (232) follows:
% 38.97/11.01 | (1542) op(e2, e1) = all_0_38_38
% 38.97/11.01 |
% 38.97/11.01 | From (1558) and (36) follows:
% 38.97/11.01 | (4182) op(e1, e2) = all_0_53_53
% 38.97/11.01 |
% 38.97/11.01 | From (1143) and (223) follows:
% 38.97/11.01 | (2491) op(e0, e1) = e1
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (245), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (1015) all_0_80_80 = e3
% 38.97/11.01 |
% 38.97/11.01 | Equations (1015) can reduce 1250 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (1250) ~ (all_0_80_80 = e3)
% 38.97/11.01 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (19), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (673) all_0_76_76 = e3
% 38.97/11.01 |
% 38.97/11.01 | Equations (673) can reduce 677 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (677) ~ (all_0_76_76 = e3)
% 38.97/11.01 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (1251), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (843) all_0_80_80 = e2
% 38.97/11.01 |
% 38.97/11.01 | Equations (843) can reduce 173 to:
% 38.97/11.01 | (765) ~ (all_0_76_76 = e2)
% 38.97/11.01 |
% 38.97/11.01 | From (843) and (159) follows:
% 38.97/11.01 | (2459) op(e3, e2) = all_0_16_16
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (71), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (878) all_0_73_73 = e3
% 38.97/11.01 |
% 38.97/11.01 | Equations (878) can reduce 882 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (882) ~ (all_0_73_73 = e3)
% 38.97/11.01 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (678), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (761) all_0_76_76 = e2
% 38.97/11.01 |
% 38.97/11.01 | Equations (761) can reduce 765 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (765) ~ (all_0_76_76 = e2)
% 38.97/11.01 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (766), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (781) all_0_76_76 = e1
% 38.97/11.01 |
% 38.97/11.01 | Equations (781) can reduce 96 to:
% 38.97/11.01 | (6849) ~ (all_0_77_77 = e1)
% 38.97/11.01 |
% 38.97/11.01 | Simplifying 6849 yields:
% 38.97/11.01 | (466) ~ (all_0_77_77 = e1)
% 38.97/11.01 |
% 38.97/11.01 | From (781) and (68) follows:
% 38.97/11.01 | (6851) op(e1, e2) = all_0_25_25
% 38.97/11.01 |
% 38.97/11.01 | From (781) and (99) follows:
% 38.97/11.01 | (6852) op(e1, e0) = all_0_27_27
% 38.97/11.01 |
% 38.97/11.01 | From (781) and (272) follows:
% 38.97/11.01 | (6853) op(e2, e1) = all_0_28_28
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (94), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (449) all_0_77_77 = e3
% 38.97/11.01 |
% 38.97/11.01 | From (449) and (108) follows:
% 38.97/11.01 | (6855) op(e3, e3) = all_0_13_13
% 38.97/11.01 |
% 38.97/11.01 | From (449) and (14) follows:
% 38.97/11.01 | (666) op(e2, e3) = all_0_29_29
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (11), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (691) all_0_74_74 = e3
% 38.97/11.01 |
% 38.97/11.01 | Equations (691) can reduce 680 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (680) ~ (all_0_74_74 = e3)
% 38.97/11.01 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (241), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (448) all_0_82_82 = e3
% 38.97/11.01 |
% 38.97/11.01 | From (448) and (76) follows:
% 38.97/11.01 | (4976) op(e3, e3) = all_0_48_48
% 38.97/11.01 |
% 38.97/11.01 | From (448) and (9) follows:
% 38.97/11.01 | (6863) op(e3, e3) = all_0_18_18
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (883), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (884) all_0_73_73 = e2
% 38.97/11.01 |
% 38.97/11.01 | Equations (884) can reduce 888 to:
% 38.97/11.01 | (304) $false
% 38.97/11.01 |
% 38.97/11.01 |-The branch is then unsatisfiable
% 38.97/11.01 |-Branch two:
% 38.97/11.01 | (888) ~ (all_0_73_73 = e2)
% 38.97/11.01 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (694), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (699) all_0_74_74 = e2
% 38.97/11.01 |
% 38.97/11.01 | From (699) and (67) follows:
% 38.97/11.01 | (2457) op(e2, e3) = all_0_16_16
% 38.97/11.01 |
% 38.97/11.01 | From (699) and (261) follows:
% 38.97/11.01 | (6870) op(e2, e1) = all_0_18_18
% 38.97/11.01 |
% 38.97/11.01 | From (699) and (98) follows:
% 38.97/11.01 | (2460) op(e1, e2) = all_0_42_42
% 38.97/11.01 |
% 38.97/11.01 +-Applying beta-rule and splitting (889), into two cases.
% 38.97/11.01 |-Branch one:
% 38.97/11.01 | (890) all_0_73_73 = e1
% 38.97/11.01 |
% 38.97/11.01 | From (890) and (254) follows:
% 38.97/11.01 | (6873) op(e1, e2) = all_0_13_13
% 38.97/11.01 |
% 38.97/11.01 | From (890) and (121) follows:
% 38.97/11.01 | (2869) op(e1, e0) = all_0_15_15
% 38.97/11.01 |
% 38.97/11.01 | From (890) and (42) follows:
% 38.97/11.01 | (6875) op(e2, e1) = all_0_25_25
% 38.97/11.01 |
% 38.97/11.01 | From (890) and (56) follows:
% 38.97/11.01 | (6876) op(e0, e1) = all_0_57_57
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e3, e3, all_0_20_20, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_20_20, yields:
% 38.97/11.01 | (6877) all_0_13_13 = all_0_20_20
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e3, e3, all_0_48_48, all_0_18_18 and discharging atoms op(e3, e3) = all_0_18_18, op(e3, e3) = all_0_48_48, yields:
% 38.97/11.01 | (6878) all_0_18_18 = all_0_48_48
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e3, e2, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_16_16, yields:
% 38.97/11.01 | (2967) all_0_15_15 = all_0_16_16
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e3, e2, all_0_21_21, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_21_21, yields:
% 38.97/11.01 | (6880) all_0_15_15 = all_0_21_21
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e3, e2, all_0_57_57, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_57_57, yields:
% 38.97/11.01 | (6881) all_0_15_15 = all_0_57_57
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e3, all_0_29_29, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = all_0_29_29, yields:
% 38.97/11.01 | (6882) all_0_16_16 = all_0_29_29
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e3, all_0_60_60, all_0_27_27 and discharging atoms op(e2, e3) = all_0_27_27, op(e2, e3) = all_0_60_60, yields:
% 38.97/11.01 | (6883) all_0_27_27 = all_0_60_60
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e1, all_0_28_28, all_0_25_25 and discharging atoms op(e2, e1) = all_0_25_25, op(e2, e1) = all_0_28_28, yields:
% 38.97/11.01 | (5982) all_0_25_25 = all_0_28_28
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e1, all_0_38_38, e0 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e0, yields:
% 38.97/11.01 | (6885) all_0_38_38 = e0
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = all_0_38_38, yields:
% 38.97/11.01 | (6886) all_0_18_18 = all_0_38_38
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, op(e2, e1) = all_0_38_38, yields:
% 38.97/11.01 | (6887) all_0_28_28 = all_0_38_38
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e1, e2, all_0_25_25, all_0_13_13 and discharging atoms op(e1, e2) = all_0_13_13, op(e1, e2) = all_0_25_25, yields:
% 38.97/11.01 | (549) all_0_13_13 = all_0_25_25
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e1, e2, all_0_42_42, all_0_13_13 and discharging atoms op(e1, e2) = all_0_13_13, op(e1, e2) = all_0_42_42, yields:
% 38.97/11.01 | (6889) all_0_13_13 = all_0_42_42
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e1, e2, all_0_53_53, all_0_25_25 and discharging atoms op(e1, e2) = all_0_25_25, op(e1, e2) = all_0_53_53, yields:
% 38.97/11.01 | (2558) all_0_25_25 = all_0_53_53
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e1, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e1, e0) = all_0_15_15, op(e1, e0) = all_0_27_27, yields:
% 38.97/11.01 | (553) all_0_15_15 = all_0_27_27
% 38.97/11.01 |
% 38.97/11.01 | Instantiating formula (268) with e0, e1, all_0_57_57, e1 and discharging atoms op(e0, e1) = all_0_57_57, op(e0, e1) = e1, yields:
% 38.97/11.01 | (6737) all_0_57_57 = e1
% 38.97/11.01 |
% 38.97/11.02 | Combining equations (6889,6877) yields a new equation:
% 38.97/11.02 | (6893) all_0_20_20 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (549,6877) yields a new equation:
% 38.97/11.02 | (6894) all_0_20_20 = all_0_25_25
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (2967,6880) yields a new equation:
% 38.97/11.02 | (6895) all_0_16_16 = all_0_21_21
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6895 yields:
% 38.97/11.02 | (1581) all_0_16_16 = all_0_21_21
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (553,6880) yields a new equation:
% 38.97/11.02 | (6724) all_0_21_21 = all_0_27_27
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6881,6880) yields a new equation:
% 38.97/11.02 | (1766) all_0_21_21 = all_0_57_57
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (1581,6882) yields a new equation:
% 38.97/11.02 | (6899) all_0_21_21 = all_0_29_29
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6899 yields:
% 38.97/11.02 | (1765) all_0_21_21 = all_0_29_29
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6886,6878) yields a new equation:
% 38.97/11.02 | (6901) all_0_38_38 = all_0_48_48
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6901 yields:
% 38.97/11.02 | (6902) all_0_38_38 = all_0_48_48
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6894,6893) yields a new equation:
% 38.97/11.02 | (6903) all_0_25_25 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6903 yields:
% 38.97/11.02 | (6904) all_0_25_25 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6724,1765) yields a new equation:
% 38.97/11.02 | (6905) all_0_27_27 = all_0_29_29
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6905 yields:
% 38.97/11.02 | (1774) all_0_27_27 = all_0_29_29
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (1766,1765) yields a new equation:
% 38.97/11.02 | (1780) all_0_29_29 = all_0_57_57
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (2558,6904) yields a new equation:
% 38.97/11.02 | (6908) all_0_42_42 = all_0_53_53
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (5982,6904) yields a new equation:
% 38.97/11.02 | (6909) all_0_28_28 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6909 yields:
% 38.97/11.02 | (6910) all_0_28_28 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6883,1774) yields a new equation:
% 38.97/11.02 | (6911) all_0_29_29 = all_0_60_60
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6887,6910) yields a new equation:
% 38.97/11.02 | (6912) all_0_38_38 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6912 yields:
% 38.97/11.02 | (1596) all_0_38_38 = all_0_42_42
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (1780,6911) yields a new equation:
% 38.97/11.02 | (6914) all_0_57_57 = all_0_60_60
% 38.97/11.02 |
% 38.97/11.02 | Simplifying 6914 yields:
% 38.97/11.02 | (557) all_0_57_57 = all_0_60_60
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6885,1596) yields a new equation:
% 38.97/11.02 | (6916) all_0_42_42 = e0
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6902,1596) yields a new equation:
% 38.97/11.02 | (5016) all_0_42_42 = all_0_48_48
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6908,5016) yields a new equation:
% 38.97/11.02 | (6918) all_0_48_48 = all_0_53_53
% 38.97/11.02 |
% 38.97/11.02 | Combining equations (6916,5016) yields a new equation:
% 38.97/11.03 | (6919) all_0_48_48 = e0
% 38.97/11.03 |
% 38.97/11.03 | Combining equations (6918,6919) yields a new equation:
% 38.97/11.03 | (1201) all_0_53_53 = e0
% 38.97/11.03 |
% 38.97/11.03 | Simplifying 1201 yields:
% 38.97/11.03 | (1202) all_0_53_53 = e0
% 38.97/11.03 |
% 38.97/11.03 | Combining equations (6737,557) yields a new equation:
% 38.97/11.03 | (2979) all_0_60_60 = e1
% 38.97/11.03 |
% 38.97/11.03 | Combining equations (2979,6911) yields a new equation:
% 38.97/11.03 | (6745) all_0_29_29 = e1
% 38.97/11.03 |
% 38.97/11.03 | From (6745) and (287) follows:
% 38.97/11.03 | (6746) op(e1, e2) = all_0_3_3
% 38.97/11.03 |
% 38.97/11.03 | From (1202) and (4182) follows:
% 38.97/11.03 | (3752) op(e1, e2) = e0
% 38.97/11.03 |
% 38.97/11.03 | Instantiating formula (268) with e1, e2, all_0_3_3, e0 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = e0, yields:
% 38.97/11.03 | (6926) all_0_3_3 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (6926) can reduce 6596 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (894) ~ (all_0_73_73 = e1)
% 38.97/11.03 | (895) all_0_73_73 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (895) can reduce 1832 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (643) ~ (all_0_74_74 = e2)
% 38.97/11.03 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (889), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (890) all_0_73_73 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (890) can reduce 199 to:
% 38.97/11.03 | (1401) ~ (all_0_74_74 = e1)
% 38.97/11.03 |
% 38.97/11.03 | Simplifying 1401 yields:
% 38.97/11.03 | (715) ~ (all_0_74_74 = e1)
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (702), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (707) all_0_74_74 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (707) can reduce 715 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (715) ~ (all_0_74_74 = e1)
% 38.97/11.03 | (716) all_0_74_74 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (716) can reduce 688 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (894) ~ (all_0_73_73 = e1)
% 38.97/11.03 | (895) all_0_73_73 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (895) can reduce 1832 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (454) ~ (all_0_82_82 = e3)
% 38.97/11.03 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (883), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (884) all_0_73_73 = e2
% 38.97/11.03 |
% 38.97/11.03 | Equations (884) can reduce 888 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (888) ~ (all_0_73_73 = e2)
% 38.97/11.03 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (694), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (699) all_0_74_74 = e2
% 38.97/11.03 |
% 38.97/11.03 | Equations (699) can reduce 28 to:
% 38.97/11.03 | (3830) ~ (all_0_82_82 = e2)
% 38.97/11.03 |
% 38.97/11.03 | Simplifying 3830 yields:
% 38.97/11.03 | (427) ~ (all_0_82_82 = e2)
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (853), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (417) all_0_82_82 = e2
% 38.97/11.03 |
% 38.97/11.03 | Equations (417) can reduce 427 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (427) ~ (all_0_82_82 = e2)
% 38.97/11.03 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (866), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (464) all_0_82_82 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (464) can reduce 470 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (470) ~ (all_0_82_82 = e1)
% 38.97/11.03 | (480) all_0_82_82 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (480) can reduce 486 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (643) ~ (all_0_74_74 = e2)
% 38.97/11.03 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (889), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (890) all_0_73_73 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (890) can reduce 199 to:
% 38.97/11.03 | (1401) ~ (all_0_74_74 = e1)
% 38.97/11.03 |
% 38.97/11.03 | Simplifying 1401 yields:
% 38.97/11.03 | (715) ~ (all_0_74_74 = e1)
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (702), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (707) all_0_74_74 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (707) can reduce 715 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (715) ~ (all_0_74_74 = e1)
% 38.97/11.03 | (716) all_0_74_74 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (716) can reduce 688 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (894) ~ (all_0_73_73 = e1)
% 38.97/11.03 | (895) all_0_73_73 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (895) can reduce 1832 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (450) ~ (all_0_77_77 = e3)
% 38.97/11.03 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (1169), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (418) all_0_77_77 = e2
% 38.97/11.03 |
% 38.97/11.03 | Equations (418) can reduce 423 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (423) ~ (all_0_77_77 = e2)
% 38.97/11.03 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (1176), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (465) all_0_77_77 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (465) can reduce 466 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (466) ~ (all_0_77_77 = e1)
% 38.97/11.03 | (481) all_0_77_77 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (481) can reduce 482 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (797) ~ (all_0_76_76 = e1)
% 38.97/11.03 | (798) all_0_76_76 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (798) can reduce 1836 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (1103) ~ (all_0_80_80 = e2)
% 38.97/11.03 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 38.97/11.03 |
% 38.97/11.03 +-Applying beta-rule and splitting (1264), into two cases.
% 38.97/11.03 |-Branch one:
% 38.97/11.03 | (1013) all_0_80_80 = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (1013) can reduce 1087 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (1087) ~ (all_0_80_80 = e1)
% 38.97/11.03 | (1268) all_0_80_80 = e0
% 38.97/11.03 |
% 38.97/11.03 | Equations (1268) can reduce 1260 to:
% 38.97/11.03 | (304) $false
% 38.97/11.03 |
% 38.97/11.03 |-The branch is then unsatisfiable
% 38.97/11.03 |-Branch two:
% 38.97/11.03 | (434) all_0_72_72 = e1
% 38.97/11.03 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 38.97/11.03 |
% 38.97/11.03 | Combining equations (434,399) yields a new equation:
% 38.97/11.03 | (436) unit = e1
% 38.97/11.03 |
% 38.97/11.03 | Equations (436) can reduce 622 to:
% 38.97/11.03 | (6448) ~ (e2 = e1)
% 38.97/11.03 |
% 38.97/11.03 | Simplifying 6448 yields:
% 38.97/11.03 | (12) ~ (e2 = e1)
% 38.97/11.03 |
% 38.97/11.03 | From (436) and (226) follows:
% 39.36/11.03 | (7001) op(e1, e2) = e2
% 39.36/11.03 |
% 39.36/11.03 | From (436) and (6455) follows:
% 39.36/11.03 | (4894) op(e1, e2) = e1
% 39.36/11.03 |
% 39.36/11.03 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.36/11.03 | (1219) e2 = e1
% 39.36/11.03 |
% 39.36/11.03 | Equations (1219) can reduce 12 to:
% 39.36/11.03 | (304) $false
% 39.36/11.03 |
% 39.36/11.03 |-The branch is then unsatisfiable
% 39.36/11.03 |-Branch two:
% 39.36/11.03 | (413) all_0_72_72 = e2
% 39.36/11.03 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 39.36/11.03 |
% 39.36/11.03 | Combining equations (413,399) yields a new equation:
% 39.36/11.03 | (415) unit = e2
% 39.36/11.03 |
% 39.36/11.03 | From (415) and (39) follows:
% 39.36/11.03 | (4894) op(e1, e2) = e1
% 39.36/11.03 |
% 39.36/11.03 | From (415) and (6455) follows:
% 39.36/11.03 | (7001) op(e1, e2) = e2
% 39.36/11.03 |
% 39.36/11.03 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.36/11.03 | (1219) e2 = e1
% 39.36/11.03 |
% 39.36/11.03 | Equations (1219) can reduce 12 to:
% 39.36/11.03 | (304) $false
% 39.36/11.03 |
% 39.36/11.03 |-The branch is then unsatisfiable
% 39.36/11.03 |-Branch two:
% 39.36/11.03 | (6748) all_0_3_3 = e3
% 39.36/11.03 | (7013) ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e0)
% 39.36/11.03 |
% 39.36/11.03 | From (6748) and (287) follows:
% 39.36/11.04 | (7014) op(all_0_29_29, e2) = e3
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (147), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (419) ~ (all_0_72_72 = e2)
% 39.36/11.04 |
% 39.36/11.04 | Equations (399) can reduce 419 to:
% 39.36/11.04 | (622) ~ (unit = e2)
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (50), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (695) all_0_78_78 = e3
% 39.36/11.04 |
% 39.36/11.04 | Combining equations (6456,695) yields a new equation:
% 39.36/11.04 | (408) unit = e3
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 408 yields:
% 39.36/11.04 | (409) unit = e3
% 39.36/11.04 |
% 39.36/11.04 | Equations (409) can reduce 525 to:
% 39.36/11.04 | (450) ~ (all_0_77_77 = e3)
% 39.36/11.04 |
% 39.36/11.04 | Equations (409) can reduce 529 to:
% 39.36/11.04 | (659) ~ (all_0_79_79 = e3)
% 39.36/11.04 |
% 39.36/11.04 | Equations (409) can reduce 523 to:
% 39.36/11.04 | (1436) ~ (all_0_85_85 = e3)
% 39.36/11.04 |
% 39.36/11.04 | Equations (409) can reduce 365 to:
% 39.36/11.04 | (1061) ~ (all_0_86_86 = e3)
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (226) follows:
% 39.36/11.04 | (4622) op(e3, e2) = e2
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (101) follows:
% 39.36/11.04 | (4623) op(e3, e1) = e1
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (124) follows:
% 39.36/11.04 | (4624) op(e3, e0) = e0
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (104) follows:
% 39.36/11.04 | (2376) op(e2, e3) = e2
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (39) follows:
% 39.36/11.04 | (1010) op(e1, e3) = e1
% 39.36/11.04 |
% 39.36/11.04 | From (409) and (8) follows:
% 39.36/11.04 | (1357) op(e0, e3) = e0
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 39.36/11.04 | (884) all_0_73_73 = e2
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 39.36/11.04 | (707) all_0_74_74 = e1
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 39.36/11.04 | (743) all_0_75_75 = e0
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 39.36/11.04 | (761) all_0_76_76 = e2
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 39.36/11.04 | (1013) all_0_80_80 = e1
% 39.36/11.04 |
% 39.36/11.04 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 39.36/11.04 | (1280) all_0_84_84 = e0
% 39.36/11.04 |
% 39.36/11.04 | Equations (707) can reduce 32 to:
% 39.36/11.04 | (1089) ~ (all_0_86_86 = e1)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 1089 yields:
% 39.36/11.04 | (1090) ~ (all_0_86_86 = e1)
% 39.36/11.04 |
% 39.36/11.04 | Equations (743) can reduce 118 to:
% 39.36/11.04 | (744) ~ (all_0_79_79 = e0)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 744 yields:
% 39.36/11.04 | (745) ~ (all_0_79_79 = e0)
% 39.36/11.04 |
% 39.36/11.04 | Equations (761) can reduce 96 to:
% 39.36/11.04 | (6627) ~ (all_0_77_77 = e2)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 6627 yields:
% 39.36/11.04 | (423) ~ (all_0_77_77 = e2)
% 39.36/11.04 |
% 39.36/11.04 | Equations (761) can reduce 297 to:
% 39.36/11.04 | (729) ~ (all_0_79_79 = e2)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 729 yields:
% 39.36/11.04 | (730) ~ (all_0_79_79 = e2)
% 39.36/11.04 |
% 39.36/11.04 | Equations (1280) can reduce 51 to:
% 39.36/11.04 | (1471) ~ (all_0_86_86 = e0)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 1471 yields:
% 39.36/11.04 | (1472) ~ (all_0_86_86 = e0)
% 39.36/11.04 |
% 39.36/11.04 | From (884) and (121) follows:
% 39.36/11.04 | (6635) op(e2, e0) = all_0_15_15
% 39.36/11.04 |
% 39.36/11.04 | From (707) and (67) follows:
% 39.36/11.04 | (6636) op(e1, e3) = all_0_16_16
% 39.36/11.04 |
% 39.36/11.04 | From (1013) and (159) follows:
% 39.36/11.04 | (6637) op(e3, e1) = all_0_16_16
% 39.36/11.04 |
% 39.36/11.04 | From (743) and (53) follows:
% 39.36/11.04 | (6639) op(e2, e0) = all_0_27_27
% 39.36/11.04 |
% 39.36/11.04 | From (1280) and (65) follows:
% 39.36/11.04 | (6641) op(e2, e0) = all_0_36_36
% 39.36/11.04 |
% 39.36/11.04 | From (1013) and (213) follows:
% 39.36/11.04 | (1010) op(e1, e3) = e1
% 39.36/11.04 |
% 39.36/11.04 | From (884) and (56) follows:
% 39.36/11.04 | (6644) op(e0, e2) = all_0_57_57
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (184), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (598) all_0_79_79 = e3
% 39.36/11.04 |
% 39.36/11.04 | Equations (598) can reduce 659 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (659) ~ (all_0_79_79 = e3)
% 39.36/11.04 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (23), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (600) all_0_85_85 = e3
% 39.36/11.04 |
% 39.36/11.04 | Equations (600) can reduce 1436 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (1436) ~ (all_0_85_85 = e3)
% 39.36/11.04 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (735), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (687) all_0_79_79 = e2
% 39.36/11.04 |
% 39.36/11.04 | Equations (687) can reduce 730 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (730) ~ (all_0_79_79 = e2)
% 39.36/11.04 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (749), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (750) all_0_79_79 = e1
% 39.36/11.04 |
% 39.36/11.04 | Equations (750) can reduce 222 to:
% 39.36/11.04 | (466) ~ (all_0_77_77 = e1)
% 39.36/11.04 |
% 39.36/11.04 | From (750) and (87) follows:
% 39.36/11.04 | (6684) op(e1, e3) = all_0_36_36
% 39.36/11.04 |
% 39.36/11.04 | From (750) and (227) follows:
% 39.36/11.04 | (6685) op(e3, e1) = all_0_15_15
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (94), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (449) all_0_77_77 = e3
% 39.36/11.04 |
% 39.36/11.04 | Equations (449) can reduce 450 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (450) ~ (all_0_77_77 = e3)
% 39.36/11.04 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (1169), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (418) all_0_77_77 = e2
% 39.36/11.04 |
% 39.36/11.04 | Equations (418) can reduce 423 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (423) ~ (all_0_77_77 = e2)
% 39.36/11.04 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (123), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (1114) all_0_86_86 = e3
% 39.36/11.04 |
% 39.36/11.04 | Equations (1114) can reduce 1061 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (1061) ~ (all_0_86_86 = e3)
% 39.36/11.04 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (1117), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (1129) all_0_86_86 = e2
% 39.36/11.04 |
% 39.36/11.04 | Equations (1129) can reduce 130 to:
% 39.36/11.04 | (1498) ~ (all_0_85_85 = e2)
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (1546), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (1558) all_0_85_85 = e2
% 39.36/11.04 |
% 39.36/11.04 | Equations (1558) can reduce 1498 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (1498) ~ (all_0_85_85 = e2)
% 39.36/11.04 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 39.36/11.04 |
% 39.36/11.04 +-Applying beta-rule and splitting (1176), into two cases.
% 39.36/11.04 |-Branch one:
% 39.36/11.04 | (465) all_0_77_77 = e1
% 39.36/11.04 |
% 39.36/11.04 | Equations (465) can reduce 466 to:
% 39.36/11.04 | (304) $false
% 39.36/11.04 |
% 39.36/11.04 |-The branch is then unsatisfiable
% 39.36/11.04 |-Branch two:
% 39.36/11.04 | (466) ~ (all_0_77_77 = e1)
% 39.36/11.04 | (481) all_0_77_77 = e0
% 39.36/11.04 |
% 39.36/11.04 | Equations (481) can reduce 85 to:
% 39.36/11.04 | (4105) ~ (all_0_85_85 = e0)
% 39.36/11.04 |
% 39.36/11.04 | Simplifying 4105 yields:
% 39.36/11.04 | (1941) ~ (all_0_85_85 = e0)
% 39.36/11.04 |
% 39.36/11.04 | From (481) and (247) follows:
% 39.36/11.07 | (1183) op(e0, e2) = all_0_29_29
% 39.36/11.07 |
% 39.36/11.07 | From (481) and (14) follows:
% 39.36/11.07 | (6706) op(e2, e0) = all_0_29_29
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (7013), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (7095) ~ (all_0_29_29 = e1)
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (1561), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (1566) all_0_85_85 = e1
% 39.36/11.07 |
% 39.36/11.07 | From (1566) and (115) follows:
% 39.36/11.07 | (6694) op(e3, e1) = all_0_21_21
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e3, e1, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e1) = all_0_15_15, op(e3, e1) = all_0_16_16, yields:
% 39.36/11.07 | (2967) all_0_15_15 = all_0_16_16
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e3, e1, all_0_21_21, all_0_16_16 and discharging atoms op(e3, e1) = all_0_16_16, op(e3, e1) = all_0_21_21, yields:
% 39.36/11.07 | (1581) all_0_16_16 = all_0_21_21
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e2, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e2, e0) = all_0_15_15, op(e2, e0) = all_0_27_27, yields:
% 39.36/11.07 | (553) all_0_15_15 = all_0_27_27
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e2, e0, all_0_36_36, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, op(e2, e0) = all_0_36_36, yields:
% 39.36/11.07 | (1786) all_0_29_29 = all_0_36_36
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e1, e3, all_0_16_16, e1 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = e1, yields:
% 39.36/11.07 | (945) all_0_16_16 = e1
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e1, e3, all_0_36_36, all_0_16_16 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = all_0_36_36, yields:
% 39.36/11.07 | (6715) all_0_16_16 = all_0_36_36
% 39.36/11.07 |
% 39.36/11.07 | Instantiating formula (268) with e0, e2, all_0_57_57, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_57_57, yields:
% 39.36/11.07 | (1780) all_0_29_29 = all_0_57_57
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (2967,553) yields a new equation:
% 39.36/11.07 | (6721) all_0_16_16 = all_0_27_27
% 39.36/11.07 |
% 39.36/11.07 | Simplifying 6721 yields:
% 39.36/11.07 | (6722) all_0_16_16 = all_0_27_27
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (945,1581) yields a new equation:
% 39.36/11.07 | (6723) all_0_21_21 = e1
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6722,1581) yields a new equation:
% 39.36/11.07 | (6724) all_0_21_21 = all_0_27_27
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6715,1581) yields a new equation:
% 39.36/11.07 | (6725) all_0_21_21 = all_0_36_36
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6725,6724) yields a new equation:
% 39.36/11.07 | (1775) all_0_27_27 = all_0_36_36
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6723,6724) yields a new equation:
% 39.36/11.07 | (6727) all_0_27_27 = e1
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (1775,6727) yields a new equation:
% 39.36/11.07 | (6730) all_0_36_36 = e1
% 39.36/11.07 |
% 39.36/11.07 | Simplifying 6730 yields:
% 39.36/11.07 | (6731) all_0_36_36 = e1
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (1786,1780) yields a new equation:
% 39.36/11.07 | (1789) all_0_36_36 = all_0_57_57
% 39.36/11.07 |
% 39.36/11.07 | Simplifying 1789 yields:
% 39.36/11.07 | (1790) all_0_36_36 = all_0_57_57
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (1790,6731) yields a new equation:
% 39.36/11.07 | (6736) all_0_57_57 = e1
% 39.36/11.07 |
% 39.36/11.07 | Simplifying 6736 yields:
% 39.36/11.07 | (6737) all_0_57_57 = e1
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6737,1780) yields a new equation:
% 39.36/11.07 | (6745) all_0_29_29 = e1
% 39.36/11.07 |
% 39.36/11.07 | Equations (6745) can reduce 7095 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (1540) ~ (all_0_85_85 = e1)
% 39.36/11.07 | (1569) all_0_85_85 = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (1569) can reduce 1941 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (6745) all_0_29_29 = e1
% 39.36/11.07 | (482) ~ (all_0_77_77 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (481) can reduce 482 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (1106) ~ (all_0_86_86 = e2)
% 39.36/11.07 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (1132), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (1143) all_0_86_86 = e1
% 39.36/11.07 |
% 39.36/11.07 | Equations (1143) can reduce 1090 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (1090) ~ (all_0_86_86 = e1)
% 39.36/11.07 | (1146) all_0_86_86 = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (1146) can reduce 1472 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (731) ~ (all_0_79_79 = e1)
% 39.36/11.07 | (753) all_0_79_79 = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (753) can reduce 745 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (657) ~ (all_0_78_78 = e3)
% 39.36/11.07 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (6456) can reduce 657 to:
% 39.36/11.07 | (406) ~ (unit = e3)
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (176), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (825) all_0_81_81 = e3
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (6457,825) yields a new equation:
% 39.36/11.07 | (408) unit = e3
% 39.36/11.07 |
% 39.36/11.07 | Simplifying 408 yields:
% 39.36/11.07 | (409) unit = e3
% 39.36/11.07 |
% 39.36/11.07 | Equations (409) can reduce 406 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (1120) ~ (all_0_81_81 = e3)
% 39.36/11.07 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (6457) can reduce 1120 to:
% 39.36/11.07 | (406) ~ (unit = e3)
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (34), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (447) all_0_87_87 = e3
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (447,363) yields a new equation:
% 39.36/11.07 | (409) unit = e3
% 39.36/11.07 |
% 39.36/11.07 | Equations (409) can reduce 406 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (457) ~ (all_0_87_87 = e3)
% 39.36/11.07 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (230), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (403) ~ (all_0_72_72 = e1)
% 39.36/11.07 |
% 39.36/11.07 | Equations (399) can reduce 403 to:
% 39.36/11.07 | (404) ~ (unit = e1)
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (627), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (416) all_0_87_87 = e2
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (416,363) yields a new equation:
% 39.36/11.07 | (415) unit = e2
% 39.36/11.07 |
% 39.36/11.07 | Equations (415) can reduce 622 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (430) ~ (all_0_87_87 = e2)
% 39.36/11.07 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 39.36/11.07 |
% 39.36/11.07 +-Applying beta-rule and splitting (632), into two cases.
% 39.36/11.07 |-Branch one:
% 39.36/11.07 | (463) all_0_87_87 = e1
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (463,363) yields a new equation:
% 39.36/11.07 | (436) unit = e1
% 39.36/11.07 |
% 39.36/11.07 | Equations (436) can reduce 404 to:
% 39.36/11.07 | (304) $false
% 39.36/11.07 |
% 39.36/11.07 |-The branch is then unsatisfiable
% 39.36/11.07 |-Branch two:
% 39.36/11.07 | (473) ~ (all_0_87_87 = e1)
% 39.36/11.07 | (479) all_0_87_87 = e0
% 39.36/11.07 |
% 39.36/11.07 | Combining equations (479,363) yields a new equation:
% 39.36/11.07 | (441) unit = e0
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 1725 to:
% 39.36/11.07 | (1832) ~ (all_0_73_73 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 517 to:
% 39.36/11.07 | (688) ~ (all_0_74_74 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 1729 to:
% 39.36/11.07 | (1836) ~ (all_0_76_76 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 525 to:
% 39.36/11.07 | (482) ~ (all_0_77_77 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 531 to:
% 39.36/11.07 | (1260) ~ (all_0_80_80 = e0)
% 39.36/11.07 |
% 39.36/11.07 | Equations (441) can reduce 3146 to:
% 39.36/11.07 | (486) ~ (all_0_82_82 = e0)
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (256) follows:
% 39.36/11.07 | (1356) op(e0, e3) = e3
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (226) follows:
% 39.36/11.07 | (4183) op(e0, e2) = e2
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (101) follows:
% 39.36/11.07 | (2491) op(e0, e1) = e1
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (113) follows:
% 39.36/11.07 | (2905) op(e3, e0) = e3
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (104) follows:
% 39.36/11.07 | (6235) op(e2, e0) = e2
% 39.36/11.07 |
% 39.36/11.07 | From (441) and (39) follows:
% 39.36/11.07 | (1525) op(e1, e0) = e1
% 39.36/11.07 |
% 39.36/11.08 | Instantiating formula (268) with e3, e0, e3, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e3, yields:
% 39.36/11.08 | (679) all_0_75_75 = e3
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e0, e2, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e2, yields:
% 39.36/11.08 | (687) all_0_79_79 = e2
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e1, e0, e1, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e1, yields:
% 39.36/11.08 | (1133) all_0_83_83 = e1
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 39.36/11.08 | (1073) all_0_84_84 = e3
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e0, e2, e2, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e2, yields:
% 39.36/11.08 | (1558) all_0_85_85 = e2
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e0, e1, e1, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e1, yields:
% 39.36/11.08 | (1143) all_0_86_86 = e1
% 39.36/11.08 |
% 39.36/11.08 | Equations (679) can reduce 106 to:
% 39.36/11.08 | (882) ~ (all_0_73_73 = e3)
% 39.36/11.08 |
% 39.36/11.08 | Equations (679) can reduce 140 to:
% 39.36/11.08 | (680) ~ (all_0_74_74 = e3)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1143) can reduce 32 to:
% 39.36/11.08 | (715) ~ (all_0_74_74 = e1)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1073) can reduce 202 to:
% 39.36/11.08 | (677) ~ (all_0_76_76 = e3)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1558) can reduce 85 to:
% 39.36/11.08 | (423) ~ (all_0_77_77 = e2)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1133) can reduce 217 to:
% 39.36/11.08 | (1087) ~ (all_0_80_80 = e1)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1073) can reduce 279 to:
% 39.36/11.08 | (1250) ~ (all_0_80_80 = e3)
% 39.36/11.08 |
% 39.36/11.08 | Equations (1143) can reduce 284 to:
% 39.36/11.08 | (470) ~ (all_0_82_82 = e1)
% 39.36/11.08 |
% 39.36/11.08 | From (1073) and (260) follows:
% 39.36/11.08 | (6819) op(e3, e2) = all_0_57_57
% 39.36/11.08 |
% 39.36/11.08 | From (1558) and (244) follows:
% 39.36/11.08 | (2551) op(e2, e3) = all_0_60_60
% 39.36/11.08 |
% 39.36/11.08 | From (687) and (227) follows:
% 39.36/11.08 | (6821) op(e3, e2) = all_0_15_15
% 39.36/11.08 |
% 39.36/11.08 | From (1073) and (95) follows:
% 39.36/11.08 | (681) op(e3, e3) = all_0_20_20
% 39.36/11.08 |
% 39.36/11.08 | From (1558) and (115) follows:
% 39.36/11.08 | (6823) op(e3, e2) = all_0_21_21
% 39.36/11.08 |
% 39.36/11.08 | From (679) and (53) follows:
% 39.36/11.08 | (6824) op(e2, e3) = all_0_27_27
% 39.36/11.08 |
% 39.36/11.08 | From (1133) and (6512) follows:
% 39.36/11.08 | (6825) op(e2, e1) = e0
% 39.36/11.08 |
% 39.36/11.08 | From (1143) and (232) follows:
% 39.36/11.08 | (1542) op(e2, e1) = all_0_38_38
% 39.36/11.08 |
% 39.36/11.08 | From (1558) and (36) follows:
% 39.36/11.08 | (4182) op(e1, e2) = all_0_53_53
% 39.36/11.08 |
% 39.36/11.08 | From (1143) and (223) follows:
% 39.36/11.08 | (2491) op(e0, e1) = e1
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (11), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (691) all_0_74_74 = e3
% 39.36/11.08 |
% 39.36/11.08 | Equations (691) can reduce 680 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (680) ~ (all_0_74_74 = e3)
% 39.36/11.08 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (245), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (1015) all_0_80_80 = e3
% 39.36/11.08 |
% 39.36/11.08 | Equations (1015) can reduce 1250 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (1250) ~ (all_0_80_80 = e3)
% 39.36/11.08 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (694), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (699) all_0_74_74 = e2
% 39.36/11.08 |
% 39.36/11.08 | Equations (699) can reduce 199 to:
% 39.36/11.08 | (888) ~ (all_0_73_73 = e2)
% 39.36/11.08 |
% 39.36/11.08 | From (699) and (67) follows:
% 39.36/11.08 | (2457) op(e2, e3) = all_0_16_16
% 39.36/11.08 |
% 39.36/11.08 | From (699) and (261) follows:
% 39.36/11.08 | (6870) op(e2, e1) = all_0_18_18
% 39.36/11.08 |
% 39.36/11.08 | From (699) and (98) follows:
% 39.36/11.08 | (2460) op(e1, e2) = all_0_42_42
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (1251), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (843) all_0_80_80 = e2
% 39.36/11.08 |
% 39.36/11.08 | Equations (843) can reduce 173 to:
% 39.36/11.08 | (765) ~ (all_0_76_76 = e2)
% 39.36/11.08 |
% 39.36/11.08 | Equations (843) can reduce 141 to:
% 39.36/11.08 | (3830) ~ (all_0_82_82 = e2)
% 39.36/11.08 |
% 39.36/11.08 | Simplifying 3830 yields:
% 39.36/11.08 | (427) ~ (all_0_82_82 = e2)
% 39.36/11.08 |
% 39.36/11.08 | From (843) and (159) follows:
% 39.36/11.08 | (2459) op(e3, e2) = all_0_16_16
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (19), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (673) all_0_76_76 = e3
% 39.36/11.08 |
% 39.36/11.08 | Equations (673) can reduce 677 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (677) ~ (all_0_76_76 = e3)
% 39.36/11.08 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (71), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (878) all_0_73_73 = e3
% 39.36/11.08 |
% 39.36/11.08 | Equations (878) can reduce 882 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (882) ~ (all_0_73_73 = e3)
% 39.36/11.08 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (241), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (448) all_0_82_82 = e3
% 39.36/11.08 |
% 39.36/11.08 | From (448) and (76) follows:
% 39.36/11.08 | (4976) op(e3, e3) = all_0_48_48
% 39.36/11.08 |
% 39.36/11.08 | From (448) and (9) follows:
% 39.36/11.08 | (6863) op(e3, e3) = all_0_18_18
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (883), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (884) all_0_73_73 = e2
% 39.36/11.08 |
% 39.36/11.08 | Equations (884) can reduce 888 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (888) ~ (all_0_73_73 = e2)
% 39.36/11.08 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (678), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (761) all_0_76_76 = e2
% 39.36/11.08 |
% 39.36/11.08 | Equations (761) can reduce 765 to:
% 39.36/11.08 | (304) $false
% 39.36/11.08 |
% 39.36/11.08 |-The branch is then unsatisfiable
% 39.36/11.08 |-Branch two:
% 39.36/11.08 | (765) ~ (all_0_76_76 = e2)
% 39.36/11.08 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (766), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (781) all_0_76_76 = e1
% 39.36/11.08 |
% 39.36/11.08 | From (781) and (68) follows:
% 39.36/11.08 | (6851) op(e1, e2) = all_0_25_25
% 39.36/11.08 |
% 39.36/11.08 | From (781) and (99) follows:
% 39.36/11.08 | (6852) op(e1, e0) = all_0_27_27
% 39.36/11.08 |
% 39.36/11.08 | From (781) and (272) follows:
% 39.36/11.08 | (6853) op(e2, e1) = all_0_28_28
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (94), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (449) all_0_77_77 = e3
% 39.36/11.08 |
% 39.36/11.08 | Equations (449) can reduce 482 to:
% 39.36/11.08 | (46) ~ (e3 = e0)
% 39.36/11.08 |
% 39.36/11.08 | From (449) and (108) follows:
% 39.36/11.08 | (6855) op(e3, e3) = all_0_13_13
% 39.36/11.08 |
% 39.36/11.08 | From (449) and (14) follows:
% 39.36/11.08 | (666) op(e2, e3) = all_0_29_29
% 39.36/11.08 |
% 39.36/11.08 +-Applying beta-rule and splitting (889), into two cases.
% 39.36/11.08 |-Branch one:
% 39.36/11.08 | (890) all_0_73_73 = e1
% 39.36/11.08 |
% 39.36/11.08 | From (890) and (254) follows:
% 39.36/11.08 | (6873) op(e1, e2) = all_0_13_13
% 39.36/11.08 |
% 39.36/11.08 | From (890) and (121) follows:
% 39.36/11.08 | (2869) op(e1, e0) = all_0_15_15
% 39.36/11.08 |
% 39.36/11.08 | From (890) and (42) follows:
% 39.36/11.08 | (6875) op(e2, e1) = all_0_25_25
% 39.36/11.08 |
% 39.36/11.08 | From (890) and (56) follows:
% 39.36/11.08 | (6876) op(e0, e1) = all_0_57_57
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e3, e3, all_0_20_20, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_20_20, yields:
% 39.36/11.08 | (6877) all_0_13_13 = all_0_20_20
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e3, e3, all_0_48_48, all_0_18_18 and discharging atoms op(e3, e3) = all_0_18_18, op(e3, e3) = all_0_48_48, yields:
% 39.36/11.08 | (6878) all_0_18_18 = all_0_48_48
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e3, e2, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_16_16, yields:
% 39.36/11.08 | (2967) all_0_15_15 = all_0_16_16
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e3, e2, all_0_21_21, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_21_21, yields:
% 39.36/11.08 | (6880) all_0_15_15 = all_0_21_21
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e3, e2, all_0_57_57, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_57_57, yields:
% 39.36/11.08 | (6881) all_0_15_15 = all_0_57_57
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e3, all_0_29_29, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = all_0_29_29, yields:
% 39.36/11.08 | (6882) all_0_16_16 = all_0_29_29
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e3, all_0_60_60, all_0_27_27 and discharging atoms op(e2, e3) = all_0_27_27, op(e2, e3) = all_0_60_60, yields:
% 39.36/11.08 | (6883) all_0_27_27 = all_0_60_60
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e1, all_0_28_28, all_0_25_25 and discharging atoms op(e2, e1) = all_0_25_25, op(e2, e1) = all_0_28_28, yields:
% 39.36/11.08 | (5982) all_0_25_25 = all_0_28_28
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e1, all_0_38_38, e0 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e0, yields:
% 39.36/11.08 | (6885) all_0_38_38 = e0
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_18_18 and discharging atoms op(e2, e1) = all_0_18_18, op(e2, e1) = all_0_38_38, yields:
% 39.36/11.08 | (6886) all_0_18_18 = all_0_38_38
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e2, e1, all_0_38_38, all_0_28_28 and discharging atoms op(e2, e1) = all_0_28_28, op(e2, e1) = all_0_38_38, yields:
% 39.36/11.08 | (6887) all_0_28_28 = all_0_38_38
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e1, e2, all_0_25_25, all_0_13_13 and discharging atoms op(e1, e2) = all_0_13_13, op(e1, e2) = all_0_25_25, yields:
% 39.36/11.08 | (549) all_0_13_13 = all_0_25_25
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e1, e2, all_0_42_42, all_0_13_13 and discharging atoms op(e1, e2) = all_0_13_13, op(e1, e2) = all_0_42_42, yields:
% 39.36/11.08 | (6889) all_0_13_13 = all_0_42_42
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e1, e2, all_0_53_53, all_0_25_25 and discharging atoms op(e1, e2) = all_0_25_25, op(e1, e2) = all_0_53_53, yields:
% 39.36/11.08 | (2558) all_0_25_25 = all_0_53_53
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e1, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e1, e0) = all_0_15_15, op(e1, e0) = all_0_27_27, yields:
% 39.36/11.08 | (553) all_0_15_15 = all_0_27_27
% 39.36/11.08 |
% 39.36/11.08 | Instantiating formula (268) with e0, e1, all_0_57_57, e1 and discharging atoms op(e0, e1) = all_0_57_57, op(e0, e1) = e1, yields:
% 39.36/11.08 | (6737) all_0_57_57 = e1
% 39.36/11.08 |
% 39.36/11.08 | Combining equations (6889,6877) yields a new equation:
% 39.36/11.08 | (6893) all_0_20_20 = all_0_42_42
% 39.36/11.08 |
% 39.36/11.08 | Combining equations (549,6877) yields a new equation:
% 39.36/11.08 | (6894) all_0_20_20 = all_0_25_25
% 39.36/11.08 |
% 39.36/11.09 | Combining equations (2967,6880) yields a new equation:
% 39.36/11.09 | (6895) all_0_16_16 = all_0_21_21
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6895 yields:
% 39.36/11.09 | (1581) all_0_16_16 = all_0_21_21
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (553,6880) yields a new equation:
% 39.36/11.09 | (6724) all_0_21_21 = all_0_27_27
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6881,6880) yields a new equation:
% 39.36/11.09 | (1766) all_0_21_21 = all_0_57_57
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (1581,6882) yields a new equation:
% 39.36/11.09 | (6899) all_0_21_21 = all_0_29_29
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6899 yields:
% 39.36/11.09 | (1765) all_0_21_21 = all_0_29_29
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6886,6878) yields a new equation:
% 39.36/11.09 | (6901) all_0_38_38 = all_0_48_48
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6901 yields:
% 39.36/11.09 | (6902) all_0_38_38 = all_0_48_48
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6894,6893) yields a new equation:
% 39.36/11.09 | (6903) all_0_25_25 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6903 yields:
% 39.36/11.09 | (6904) all_0_25_25 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6724,1765) yields a new equation:
% 39.36/11.09 | (6905) all_0_27_27 = all_0_29_29
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6905 yields:
% 39.36/11.09 | (1774) all_0_27_27 = all_0_29_29
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (1766,1765) yields a new equation:
% 39.36/11.09 | (1780) all_0_29_29 = all_0_57_57
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (2558,6904) yields a new equation:
% 39.36/11.09 | (6908) all_0_42_42 = all_0_53_53
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (5982,6904) yields a new equation:
% 39.36/11.09 | (6909) all_0_28_28 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6909 yields:
% 39.36/11.09 | (6910) all_0_28_28 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6883,1774) yields a new equation:
% 39.36/11.09 | (6911) all_0_29_29 = all_0_60_60
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6887,6910) yields a new equation:
% 39.36/11.09 | (6912) all_0_38_38 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6912 yields:
% 39.36/11.09 | (1596) all_0_38_38 = all_0_42_42
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (1780,6911) yields a new equation:
% 39.36/11.09 | (6914) all_0_57_57 = all_0_60_60
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6914 yields:
% 39.36/11.09 | (557) all_0_57_57 = all_0_60_60
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6885,1596) yields a new equation:
% 39.36/11.09 | (6916) all_0_42_42 = e0
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6902,1596) yields a new equation:
% 39.36/11.09 | (5016) all_0_42_42 = all_0_48_48
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6908,5016) yields a new equation:
% 39.36/11.09 | (6918) all_0_48_48 = all_0_53_53
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6916,5016) yields a new equation:
% 39.36/11.09 | (6919) all_0_48_48 = e0
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6918,6919) yields a new equation:
% 39.36/11.09 | (1201) all_0_53_53 = e0
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 1201 yields:
% 39.36/11.09 | (1202) all_0_53_53 = e0
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (6737,557) yields a new equation:
% 39.36/11.09 | (2979) all_0_60_60 = e1
% 39.36/11.09 |
% 39.36/11.09 | Combining equations (2979,6911) yields a new equation:
% 39.36/11.09 | (6745) all_0_29_29 = e1
% 39.36/11.09 |
% 39.36/11.09 | From (6745) and (7014) follows:
% 39.36/11.09 | (817) op(e1, e2) = e3
% 39.36/11.09 |
% 39.36/11.09 | From (1202) and (4182) follows:
% 39.36/11.09 | (3752) op(e1, e2) = e0
% 39.36/11.09 |
% 39.36/11.09 | Instantiating formula (268) with e1, e2, e3, e0 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e0, yields:
% 39.36/11.09 | (1217) e3 = e0
% 39.36/11.09 |
% 39.36/11.09 | Equations (1217) can reduce 46 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (894) ~ (all_0_73_73 = e1)
% 39.36/11.09 | (895) all_0_73_73 = e0
% 39.36/11.09 |
% 39.36/11.09 | Equations (895) can reduce 1832 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (450) ~ (all_0_77_77 = e3)
% 39.36/11.09 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 39.36/11.09 |
% 39.36/11.09 +-Applying beta-rule and splitting (889), into two cases.
% 39.36/11.09 |-Branch one:
% 39.36/11.09 | (890) all_0_73_73 = e1
% 39.36/11.09 |
% 39.36/11.09 | Equations (890) can reduce 66 to:
% 39.36/11.09 | (6849) ~ (all_0_77_77 = e1)
% 39.36/11.09 |
% 39.36/11.09 | Simplifying 6849 yields:
% 39.36/11.09 | (466) ~ (all_0_77_77 = e1)
% 39.36/11.09 |
% 39.36/11.09 +-Applying beta-rule and splitting (1169), into two cases.
% 39.36/11.09 |-Branch one:
% 39.36/11.09 | (418) all_0_77_77 = e2
% 39.36/11.09 |
% 39.36/11.09 | Equations (418) can reduce 423 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (423) ~ (all_0_77_77 = e2)
% 39.36/11.09 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 39.36/11.09 |
% 39.36/11.09 +-Applying beta-rule and splitting (1176), into two cases.
% 39.36/11.09 |-Branch one:
% 39.36/11.09 | (465) all_0_77_77 = e1
% 39.36/11.09 |
% 39.36/11.09 | Equations (465) can reduce 466 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (466) ~ (all_0_77_77 = e1)
% 39.36/11.09 | (481) all_0_77_77 = e0
% 39.36/11.09 |
% 39.36/11.09 | Equations (481) can reduce 482 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (894) ~ (all_0_73_73 = e1)
% 39.36/11.09 | (895) all_0_73_73 = e0
% 39.36/11.09 |
% 39.36/11.09 | Equations (895) can reduce 1832 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (797) ~ (all_0_76_76 = e1)
% 39.36/11.09 | (798) all_0_76_76 = e0
% 39.36/11.09 |
% 39.36/11.09 | Equations (798) can reduce 1836 to:
% 39.36/11.09 | (304) $false
% 39.36/11.09 |
% 39.36/11.09 |-The branch is then unsatisfiable
% 39.36/11.09 |-Branch two:
% 39.36/11.09 | (454) ~ (all_0_82_82 = e3)
% 39.36/11.09 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 39.36/11.09 |
% 39.36/11.09 +-Applying beta-rule and splitting (853), into two cases.
% 39.36/11.09 |-Branch one:
% 39.36/11.09 | (417) all_0_82_82 = e2
% 39.62/11.09 |
% 39.62/11.09 | Equations (417) can reduce 427 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (427) ~ (all_0_82_82 = e2)
% 39.62/11.09 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 39.62/11.09 |
% 39.62/11.09 +-Applying beta-rule and splitting (866), into two cases.
% 39.62/11.09 |-Branch one:
% 39.62/11.09 | (464) all_0_82_82 = e1
% 39.62/11.09 |
% 39.62/11.09 | Equations (464) can reduce 470 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (470) ~ (all_0_82_82 = e1)
% 39.62/11.09 | (480) all_0_82_82 = e0
% 39.62/11.09 |
% 39.62/11.09 | Equations (480) can reduce 486 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.09 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.09 |
% 39.62/11.09 +-Applying beta-rule and splitting (1264), into two cases.
% 39.62/11.09 |-Branch one:
% 39.62/11.09 | (1013) all_0_80_80 = e1
% 39.62/11.09 |
% 39.62/11.09 | Equations (1013) can reduce 1087 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.09 | (1268) all_0_80_80 = e0
% 39.62/11.09 |
% 39.62/11.09 | Equations (1268) can reduce 1260 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (643) ~ (all_0_74_74 = e2)
% 39.62/11.09 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 39.62/11.09 |
% 39.62/11.09 +-Applying beta-rule and splitting (702), into two cases.
% 39.62/11.09 |-Branch one:
% 39.62/11.09 | (707) all_0_74_74 = e1
% 39.62/11.09 |
% 39.62/11.09 | Equations (707) can reduce 715 to:
% 39.62/11.09 | (304) $false
% 39.62/11.09 |
% 39.62/11.09 |-The branch is then unsatisfiable
% 39.62/11.09 |-Branch two:
% 39.62/11.09 | (715) ~ (all_0_74_74 = e1)
% 39.62/11.10 | (716) all_0_74_74 = e0
% 39.62/11.10 |
% 39.62/11.10 | Equations (716) can reduce 688 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (434) all_0_72_72 = e1
% 39.62/11.10 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Combining equations (434,399) yields a new equation:
% 39.62/11.10 | (436) unit = e1
% 39.62/11.10 |
% 39.62/11.10 | Equations (436) can reduce 622 to:
% 39.62/11.10 | (6448) ~ (e2 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 6448 yields:
% 39.62/11.10 | (12) ~ (e2 = e1)
% 39.62/11.10 |
% 39.62/11.10 | From (436) and (226) follows:
% 39.62/11.10 | (7001) op(e1, e2) = e2
% 39.62/11.10 |
% 39.62/11.10 | From (436) and (6455) follows:
% 39.62/11.10 | (4894) op(e1, e2) = e1
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.62/11.10 | (1219) e2 = e1
% 39.62/11.10 |
% 39.62/11.10 | Equations (1219) can reduce 12 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (413) all_0_72_72 = e2
% 39.62/11.10 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 39.62/11.10 |
% 39.62/11.10 | Combining equations (413,399) yields a new equation:
% 39.62/11.10 | (415) unit = e2
% 39.62/11.10 |
% 39.62/11.10 | From (415) and (39) follows:
% 39.62/11.10 | (4894) op(e1, e2) = e1
% 39.62/11.10 |
% 39.62/11.10 | From (415) and (6455) follows:
% 39.62/11.10 | (7001) op(e1, e2) = e2
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.62/11.10 | (1219) e2 = e1
% 39.62/11.10 |
% 39.62/11.10 | Equations (1219) can reduce 12 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (6926) all_0_3_3 = e0
% 39.62/11.10 | (7366) ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e3)
% 39.62/11.10 |
% 39.62/11.10 | From (6926) and (287) follows:
% 39.62/11.10 | (7367) op(all_0_29_29, e2) = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (147), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (419) ~ (all_0_72_72 = e2)
% 39.62/11.10 |
% 39.62/11.10 | Equations (399) can reduce 419 to:
% 39.62/11.10 | (622) ~ (unit = e2)
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (176), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (825) all_0_81_81 = e3
% 39.62/11.10 |
% 39.62/11.10 | Combining equations (6457,825) yields a new equation:
% 39.62/11.10 | (408) unit = e3
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 408 yields:
% 39.62/11.10 | (409) unit = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 525 to:
% 39.62/11.10 | (450) ~ (all_0_77_77 = e3)
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 529 to:
% 39.62/11.10 | (659) ~ (all_0_79_79 = e3)
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 3146 to:
% 39.62/11.10 | (454) ~ (all_0_82_82 = e3)
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 364 to:
% 39.62/11.10 | (1058) ~ (all_0_83_83 = e3)
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 523 to:
% 39.62/11.10 | (1436) ~ (all_0_85_85 = e3)
% 39.62/11.10 |
% 39.62/11.10 | Equations (409) can reduce 365 to:
% 39.62/11.10 | (1061) ~ (all_0_86_86 = e3)
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (226) follows:
% 39.62/11.10 | (4622) op(e3, e2) = e2
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (101) follows:
% 39.62/11.10 | (4623) op(e3, e1) = e1
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (124) follows:
% 39.62/11.10 | (4624) op(e3, e0) = e0
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (104) follows:
% 39.62/11.10 | (2376) op(e2, e3) = e2
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (39) follows:
% 39.62/11.10 | (1010) op(e1, e3) = e1
% 39.62/11.10 |
% 39.62/11.10 | From (409) and (8) follows:
% 39.62/11.10 | (1357) op(e0, e3) = e0
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 39.62/11.10 | (884) all_0_73_73 = e2
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 39.62/11.10 | (707) all_0_74_74 = e1
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 39.62/11.10 | (743) all_0_75_75 = e0
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 39.62/11.10 | (761) all_0_76_76 = e2
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 39.62/11.10 | (1013) all_0_80_80 = e1
% 39.62/11.10 |
% 39.62/11.10 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 39.62/11.10 | (1280) all_0_84_84 = e0
% 39.62/11.10 |
% 39.62/11.10 | Equations (707) can reduce 32 to:
% 39.62/11.10 | (1089) ~ (all_0_86_86 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 1089 yields:
% 39.62/11.10 | (1090) ~ (all_0_86_86 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Equations (743) can reduce 118 to:
% 39.62/11.10 | (744) ~ (all_0_79_79 = e0)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 744 yields:
% 39.62/11.10 | (745) ~ (all_0_79_79 = e0)
% 39.62/11.10 |
% 39.62/11.10 | Equations (743) can reduce 88 to:
% 39.62/11.10 | (1469) ~ (all_0_83_83 = e0)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 1469 yields:
% 39.62/11.10 | (1470) ~ (all_0_83_83 = e0)
% 39.62/11.10 |
% 39.62/11.10 | Equations (761) can reduce 96 to:
% 39.62/11.10 | (6627) ~ (all_0_77_77 = e2)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 6627 yields:
% 39.62/11.10 | (423) ~ (all_0_77_77 = e2)
% 39.62/11.10 |
% 39.62/11.10 | Equations (1013) can reduce 141 to:
% 39.62/11.10 | (4642) ~ (all_0_82_82 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 4642 yields:
% 39.62/11.10 | (470) ~ (all_0_82_82 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Equations (1013) can reduce 217 to:
% 39.62/11.10 | (1915) ~ (all_0_83_83 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 1915 yields:
% 39.62/11.10 | (1088) ~ (all_0_83_83 = e1)
% 39.62/11.10 |
% 39.62/11.10 | Equations (1280) can reduce 51 to:
% 39.62/11.10 | (1471) ~ (all_0_86_86 = e0)
% 39.62/11.10 |
% 39.62/11.10 | Simplifying 1471 yields:
% 39.62/11.10 | (1472) ~ (all_0_86_86 = e0)
% 39.62/11.10 |
% 39.62/11.10 | From (884) and (121) follows:
% 39.62/11.10 | (6635) op(e2, e0) = all_0_15_15
% 39.62/11.10 |
% 39.62/11.10 | From (707) and (67) follows:
% 39.62/11.10 | (6636) op(e1, e3) = all_0_16_16
% 39.62/11.10 |
% 39.62/11.10 | From (1013) and (159) follows:
% 39.62/11.10 | (6637) op(e3, e1) = all_0_16_16
% 39.62/11.10 |
% 39.62/11.10 | From (707) and (285) follows:
% 39.62/11.10 | (4651) op(e2, e1) = all_0_26_26
% 39.62/11.10 |
% 39.62/11.10 | From (743) and (53) follows:
% 39.62/11.10 | (6639) op(e2, e0) = all_0_27_27
% 39.62/11.10 |
% 39.62/11.10 | From (1013) and (6511) follows:
% 39.62/11.10 | (820) op(e2, e1) = e3
% 39.62/11.10 |
% 39.62/11.10 | From (1280) and (65) follows:
% 39.62/11.10 | (6641) op(e2, e0) = all_0_36_36
% 39.62/11.10 |
% 39.62/11.10 | From (884) and (63) follows:
% 39.62/11.10 | (4653) op(e1, e2) = all_0_41_41
% 39.62/11.10 |
% 39.62/11.10 | From (1013) and (213) follows:
% 39.62/11.10 | (1010) op(e1, e3) = e1
% 39.62/11.10 |
% 39.62/11.10 | From (884) and (56) follows:
% 39.62/11.10 | (6644) op(e0, e2) = all_0_57_57
% 39.62/11.10 |
% 39.62/11.10 | From (743) and (282) follows:
% 39.62/11.10 | (6645) op(e0, e0) = all_0_59_59
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (123), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (1114) all_0_86_86 = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (1114) can reduce 1061 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (1061) ~ (all_0_86_86 = e3)
% 39.62/11.10 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (1117), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (1129) all_0_86_86 = e2
% 39.62/11.10 |
% 39.62/11.10 | Equations (1129) can reduce 130 to:
% 39.62/11.10 | (1498) ~ (all_0_85_85 = e2)
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (241), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (448) all_0_82_82 = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (448) can reduce 454 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (454) ~ (all_0_82_82 = e3)
% 39.62/11.10 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (151), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (1110) all_0_83_83 = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (1110) can reduce 1058 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (1058) ~ (all_0_83_83 = e3)
% 39.62/11.10 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (23), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (600) all_0_85_85 = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (600) can reduce 1436 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (1436) ~ (all_0_85_85 = e3)
% 39.62/11.10 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (184), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (598) all_0_79_79 = e3
% 39.62/11.10 |
% 39.62/11.10 | Equations (598) can reduce 659 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (659) ~ (all_0_79_79 = e3)
% 39.62/11.10 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (1113), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (1125) all_0_83_83 = e2
% 39.62/11.10 |
% 39.62/11.10 | Equations (1125) can reduce 44 to:
% 39.62/11.10 | (730) ~ (all_0_79_79 = e2)
% 39.62/11.10 |
% 39.62/11.10 | Equations (1125) can reduce 214 to:
% 39.62/11.10 | (427) ~ (all_0_82_82 = e2)
% 39.62/11.10 |
% 39.62/11.10 | From (1125) and (271) follows:
% 39.62/11.10 | (6661) op(e1, e2) = all_0_51_51
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (1546), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (1558) all_0_85_85 = e2
% 39.62/11.10 |
% 39.62/11.10 | Equations (1558) can reduce 1498 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (1498) ~ (all_0_85_85 = e2)
% 39.62/11.10 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 39.62/11.10 |
% 39.62/11.10 +-Applying beta-rule and splitting (853), into two cases.
% 39.62/11.10 |-Branch one:
% 39.62/11.10 | (417) all_0_82_82 = e2
% 39.62/11.10 |
% 39.62/11.10 | Equations (417) can reduce 427 to:
% 39.62/11.10 | (304) $false
% 39.62/11.10 |
% 39.62/11.10 |-The branch is then unsatisfiable
% 39.62/11.10 |-Branch two:
% 39.62/11.10 | (427) ~ (all_0_82_82 = e2)
% 39.62/11.11 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (735), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (687) all_0_79_79 = e2
% 39.62/11.11 |
% 39.62/11.11 | Equations (687) can reduce 730 to:
% 39.62/11.11 | (304) $false
% 39.62/11.11 |
% 39.62/11.11 |-The branch is then unsatisfiable
% 39.62/11.11 |-Branch two:
% 39.62/11.11 | (730) ~ (all_0_79_79 = e2)
% 39.62/11.11 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (749), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (750) all_0_79_79 = e1
% 39.62/11.11 |
% 39.62/11.11 | Equations (750) can reduce 222 to:
% 39.62/11.11 | (466) ~ (all_0_77_77 = e1)
% 39.62/11.11 |
% 39.62/11.11 | From (750) and (87) follows:
% 39.62/11.11 | (6684) op(e1, e3) = all_0_36_36
% 39.62/11.11 |
% 39.62/11.11 | From (750) and (227) follows:
% 39.62/11.11 | (6685) op(e3, e1) = all_0_15_15
% 39.62/11.11 |
% 39.62/11.11 | From (750) and (252) follows:
% 39.62/11.11 | (6686) op(e2, e1) = all_0_31_31
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (94), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (449) all_0_77_77 = e3
% 39.62/11.11 |
% 39.62/11.11 | Equations (449) can reduce 450 to:
% 39.62/11.11 | (304) $false
% 39.62/11.11 |
% 39.62/11.11 |-The branch is then unsatisfiable
% 39.62/11.11 |-Branch two:
% 39.62/11.11 | (450) ~ (all_0_77_77 = e3)
% 39.62/11.11 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (1169), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (418) all_0_77_77 = e2
% 39.62/11.11 |
% 39.62/11.11 | Equations (418) can reduce 423 to:
% 39.62/11.11 | (304) $false
% 39.62/11.11 |
% 39.62/11.11 |-The branch is then unsatisfiable
% 39.62/11.11 |-Branch two:
% 39.62/11.11 | (423) ~ (all_0_77_77 = e2)
% 39.62/11.11 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (1176), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (465) all_0_77_77 = e1
% 39.62/11.11 |
% 39.62/11.11 | Equations (465) can reduce 466 to:
% 39.62/11.11 | (304) $false
% 39.62/11.11 |
% 39.62/11.11 |-The branch is then unsatisfiable
% 39.62/11.11 |-Branch two:
% 39.62/11.11 | (466) ~ (all_0_77_77 = e1)
% 39.62/11.11 | (481) all_0_77_77 = e0
% 39.62/11.11 |
% 39.62/11.11 | Equations (481) can reduce 85 to:
% 39.62/11.11 | (4105) ~ (all_0_85_85 = e0)
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 4105 yields:
% 39.62/11.11 | (1941) ~ (all_0_85_85 = e0)
% 39.62/11.11 |
% 39.62/11.11 | From (481) and (247) follows:
% 39.62/11.11 | (1183) op(e0, e2) = all_0_29_29
% 39.62/11.11 |
% 39.62/11.11 | From (481) and (200) follows:
% 39.62/11.11 | (1184) op(e0, e0) = all_0_31_31
% 39.62/11.11 |
% 39.62/11.11 | From (481) and (14) follows:
% 39.62/11.11 | (6706) op(e2, e0) = all_0_29_29
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (1561), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (1566) all_0_85_85 = e1
% 39.62/11.11 |
% 39.62/11.11 | From (1566) and (186) follows:
% 39.62/11.11 | (6693) op(e1, e2) = all_0_61_61
% 39.62/11.11 |
% 39.62/11.11 | From (1566) and (115) follows:
% 39.62/11.11 | (6694) op(e3, e1) = all_0_21_21
% 39.62/11.11 |
% 39.62/11.11 | From (1566) and (207) follows:
% 39.62/11.11 | (4671) op(e2, e1) = all_0_37_37
% 39.62/11.11 |
% 39.62/11.11 +-Applying beta-rule and splitting (866), into two cases.
% 39.62/11.11 |-Branch one:
% 39.62/11.11 | (464) all_0_82_82 = e1
% 39.62/11.11 |
% 39.62/11.11 | Equations (464) can reduce 470 to:
% 39.62/11.11 | (304) $false
% 39.62/11.11 |
% 39.62/11.11 |-The branch is then unsatisfiable
% 39.62/11.11 |-Branch two:
% 39.62/11.11 | (470) ~ (all_0_82_82 = e1)
% 39.62/11.11 | (480) all_0_82_82 = e0
% 39.62/11.11 |
% 39.62/11.11 | Equations (480) can reduce 454 to:
% 39.62/11.11 | (1354) ~ (e3 = e0)
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 1354 yields:
% 39.62/11.11 | (46) ~ (e3 = e0)
% 39.62/11.11 |
% 39.62/11.11 | From (480) and (136) follows:
% 39.62/11.11 | (3844) op(e0, e0) = all_0_51_51
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e3, e1, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e1) = all_0_15_15, op(e3, e1) = all_0_16_16, yields:
% 39.62/11.11 | (2967) all_0_15_15 = all_0_16_16
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e3, e1, all_0_21_21, all_0_16_16 and discharging atoms op(e3, e1) = all_0_16_16, op(e3, e1) = all_0_21_21, yields:
% 39.62/11.11 | (1581) all_0_16_16 = all_0_21_21
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e2, e1, all_0_26_26, e3 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = e3, yields:
% 39.62/11.11 | (6709) all_0_26_26 = e3
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e2, e1, all_0_31_31, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_31_31, yields:
% 39.62/11.11 | (6710) all_0_26_26 = all_0_31_31
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e2, e1, all_0_37_37, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_37_37, yields:
% 39.62/11.11 | (4736) all_0_26_26 = all_0_37_37
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e2, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e2, e0) = all_0_15_15, op(e2, e0) = all_0_27_27, yields:
% 39.62/11.11 | (553) all_0_15_15 = all_0_27_27
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e2, e0, all_0_36_36, all_0_29_29 and discharging atoms op(e2, e0) = all_0_29_29, op(e2, e0) = all_0_36_36, yields:
% 39.62/11.11 | (1786) all_0_29_29 = all_0_36_36
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e1, e3, all_0_16_16, e1 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = e1, yields:
% 39.62/11.11 | (945) all_0_16_16 = e1
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e1, e3, all_0_36_36, all_0_16_16 and discharging atoms op(e1, e3) = all_0_16_16, op(e1, e3) = all_0_36_36, yields:
% 39.62/11.11 | (6715) all_0_16_16 = all_0_36_36
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e1, e2, all_0_51_51, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_51_51, yields:
% 39.62/11.11 | (6716) all_0_41_41 = all_0_51_51
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e1, e2, all_0_61_61, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_61_61, yields:
% 39.62/11.11 | (6717) all_0_41_41 = all_0_61_61
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e0, e2, all_0_57_57, all_0_29_29 and discharging atoms op(e0, e2) = all_0_29_29, op(e0, e2) = all_0_57_57, yields:
% 39.62/11.11 | (1780) all_0_29_29 = all_0_57_57
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e0, e0, all_0_59_59, all_0_31_31 and discharging atoms op(e0, e0) = all_0_31_31, op(e0, e0) = all_0_59_59, yields:
% 39.62/11.11 | (6719) all_0_31_31 = all_0_59_59
% 39.62/11.11 |
% 39.62/11.11 | Instantiating formula (268) with e0, e0, all_0_59_59, all_0_51_51 and discharging atoms op(e0, e0) = all_0_51_51, op(e0, e0) = all_0_59_59, yields:
% 39.62/11.11 | (4250) all_0_51_51 = all_0_59_59
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (2967,553) yields a new equation:
% 39.62/11.11 | (6721) all_0_16_16 = all_0_27_27
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 6721 yields:
% 39.62/11.11 | (6722) all_0_16_16 = all_0_27_27
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (945,1581) yields a new equation:
% 39.62/11.11 | (6723) all_0_21_21 = e1
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6722,1581) yields a new equation:
% 39.62/11.11 | (6724) all_0_21_21 = all_0_27_27
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6715,1581) yields a new equation:
% 39.62/11.11 | (6725) all_0_21_21 = all_0_36_36
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6725,6724) yields a new equation:
% 39.62/11.11 | (1775) all_0_27_27 = all_0_36_36
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6723,6724) yields a new equation:
% 39.62/11.11 | (6727) all_0_27_27 = e1
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (4736,6710) yields a new equation:
% 39.62/11.11 | (1190) all_0_31_31 = all_0_37_37
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6709,6710) yields a new equation:
% 39.62/11.11 | (6729) all_0_31_31 = e3
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (1775,6727) yields a new equation:
% 39.62/11.11 | (6730) all_0_36_36 = e1
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 6730 yields:
% 39.62/11.11 | (6731) all_0_36_36 = e1
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (1786,1780) yields a new equation:
% 39.62/11.11 | (1789) all_0_36_36 = all_0_57_57
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 1789 yields:
% 39.62/11.11 | (1790) all_0_36_36 = all_0_57_57
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6719,1190) yields a new equation:
% 39.62/11.11 | (6734) all_0_37_37 = all_0_59_59
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6729,1190) yields a new equation:
% 39.62/11.11 | (6735) all_0_37_37 = e3
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (1790,6731) yields a new equation:
% 39.62/11.11 | (6736) all_0_57_57 = e1
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 6736 yields:
% 39.62/11.11 | (6737) all_0_57_57 = e1
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6734,6735) yields a new equation:
% 39.62/11.11 | (4258) all_0_59_59 = e3
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 4258 yields:
% 39.62/11.11 | (4259) all_0_59_59 = e3
% 39.62/11.11 |
% 39.62/11.11 | Combining equations (6716,6717) yields a new equation:
% 39.62/11.11 | (6740) all_0_51_51 = all_0_61_61
% 39.62/11.11 |
% 39.62/11.11 | Simplifying 6740 yields:
% 39.62/11.11 | (6741) all_0_51_51 = all_0_61_61
% 39.62/11.11 |
% 39.62/11.12 | Combining equations (4250,6741) yields a new equation:
% 39.62/11.12 | (6742) all_0_59_59 = all_0_61_61
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 6742 yields:
% 39.62/11.12 | (6743) all_0_59_59 = all_0_61_61
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (4259,6743) yields a new equation:
% 39.62/11.12 | (6744) all_0_61_61 = e3
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6737,1780) yields a new equation:
% 39.62/11.12 | (6745) all_0_29_29 = e1
% 39.62/11.12 |
% 39.62/11.12 | From (6745) and (7367) follows:
% 39.62/11.12 | (3752) op(e1, e2) = e0
% 39.62/11.12 |
% 39.62/11.12 | From (6744) and (6693) follows:
% 39.62/11.12 | (817) op(e1, e2) = e3
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e1, e2, e0, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e0, yields:
% 39.62/11.12 | (1217) e3 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (1217) can reduce 46 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1540) ~ (all_0_85_85 = e1)
% 39.62/11.12 | (1569) all_0_85_85 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (1569) can reduce 1941 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (731) ~ (all_0_79_79 = e1)
% 39.62/11.12 | (753) all_0_79_79 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (753) can reduce 745 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1105) ~ (all_0_83_83 = e2)
% 39.62/11.12 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (1128), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (1133) all_0_83_83 = e1
% 39.62/11.12 |
% 39.62/11.12 | Equations (1133) can reduce 1088 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1088) ~ (all_0_83_83 = e1)
% 39.62/11.12 | (1136) all_0_83_83 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (1136) can reduce 1470 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1106) ~ (all_0_86_86 = e2)
% 39.62/11.12 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (1132), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (1143) all_0_86_86 = e1
% 39.62/11.12 |
% 39.62/11.12 | Equations (1143) can reduce 1090 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1090) ~ (all_0_86_86 = e1)
% 39.62/11.12 | (1146) all_0_86_86 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (1146) can reduce 1472 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1120) ~ (all_0_81_81 = e3)
% 39.62/11.12 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (6457) can reduce 1120 to:
% 39.62/11.12 | (406) ~ (unit = e3)
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (119), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (409) unit = e3
% 39.62/11.12 |
% 39.62/11.12 | Equations (409) can reduce 406 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (406) ~ (unit = e3)
% 39.62/11.12 | (871) unit = e2 | unit = e1 | unit = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (50), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (695) all_0_78_78 = e3
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6456,695) yields a new equation:
% 39.62/11.12 | (408) unit = e3
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 408 yields:
% 39.62/11.12 | (409) unit = e3
% 39.62/11.12 |
% 39.62/11.12 | Equations (409) can reduce 406 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (657) ~ (all_0_78_78 = e3)
% 39.62/11.12 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (188), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (401) ~ (all_0_72_72 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (399) can reduce 401 to:
% 39.62/11.12 | (402) ~ (unit = e0)
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (1142), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (1155) all_0_81_81 = e2
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6457,1155) yields a new equation:
% 39.62/11.12 | (414) unit = e2
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 414 yields:
% 39.62/11.12 | (415) unit = e2
% 39.62/11.12 |
% 39.62/11.12 | Equations (415) can reduce 622 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1104) ~ (all_0_81_81 = e2)
% 39.62/11.12 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (6457) can reduce 1104 to:
% 39.62/11.12 | (622) ~ (unit = e2)
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (871), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (415) unit = e2
% 39.62/11.12 |
% 39.62/11.12 | Equations (415) can reduce 622 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (622) ~ (unit = e2)
% 39.62/11.12 | (1271) unit = e1 | unit = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (698), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (703) all_0_78_78 = e2
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6456,703) yields a new equation:
% 39.62/11.12 | (414) unit = e2
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 414 yields:
% 39.62/11.12 | (415) unit = e2
% 39.62/11.12 |
% 39.62/11.12 | Equations (415) can reduce 622 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (689) ~ (all_0_78_78 = e2)
% 39.62/11.12 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (6456) can reduce 689 to:
% 39.62/11.12 | (622) ~ (unit = e2)
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (1158), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (1163) all_0_81_81 = e1
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6457,1163) yields a new equation:
% 39.62/11.12 | (435) unit = e1
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 435 yields:
% 39.62/11.12 | (436) unit = e1
% 39.62/11.12 |
% 39.62/11.12 | Equations (436) can reduce 622 to:
% 39.62/11.12 | (6448) ~ (e2 = e1)
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 6448 yields:
% 39.62/11.12 | (12) ~ (e2 = e1)
% 39.62/11.12 |
% 39.62/11.12 | From (436) and (226) follows:
% 39.62/11.12 | (7001) op(e1, e2) = e2
% 39.62/11.12 |
% 39.62/11.12 | From (436) and (6455) follows:
% 39.62/11.12 | (4894) op(e1, e2) = e1
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.62/11.12 | (1219) e2 = e1
% 39.62/11.12 |
% 39.62/11.12 | Equations (1219) can reduce 12 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (1227) ~ (all_0_81_81 = e1)
% 39.62/11.12 | (1228) all_0_81_81 = e0
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (6457,1228) yields a new equation:
% 39.62/11.12 | (440) unit = e0
% 39.62/11.12 |
% 39.62/11.12 | Simplifying 440 yields:
% 39.62/11.12 | (441) unit = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 402 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (439) all_0_72_72 = e0
% 39.62/11.12 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Combining equations (439,399) yields a new equation:
% 39.62/11.12 | (441) unit = e0
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 1725 to:
% 39.62/11.12 | (1832) ~ (all_0_73_73 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 517 to:
% 39.62/11.12 | (688) ~ (all_0_74_74 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 1729 to:
% 39.62/11.12 | (1836) ~ (all_0_76_76 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 525 to:
% 39.62/11.12 | (482) ~ (all_0_77_77 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 531 to:
% 39.62/11.12 | (1260) ~ (all_0_80_80 = e0)
% 39.62/11.12 |
% 39.62/11.12 | Equations (441) can reduce 3146 to:
% 39.62/11.12 | (486) ~ (all_0_82_82 = e0)
% 39.62/11.12 |
% 39.62/11.12 | From (441) and (256) follows:
% 39.62/11.12 | (1356) op(e0, e3) = e3
% 39.62/11.12 |
% 39.62/11.12 | From (441) and (226) follows:
% 39.62/11.12 | (4183) op(e0, e2) = e2
% 39.62/11.12 |
% 39.62/11.12 | From (441) and (101) follows:
% 39.62/11.12 | (2491) op(e0, e1) = e1
% 39.62/11.12 |
% 39.62/11.12 | From (441) and (113) follows:
% 39.62/11.12 | (2905) op(e3, e0) = e3
% 39.62/11.12 |
% 39.62/11.12 | From (441) and (104) follows:
% 39.62/11.12 | (6235) op(e2, e0) = e2
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e3, e0, e3, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e3, yields:
% 39.62/11.12 | (679) all_0_75_75 = e3
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e2, e0, e2, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e2, yields:
% 39.62/11.12 | (687) all_0_79_79 = e2
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 39.62/11.12 | (1073) all_0_84_84 = e3
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e0, e2, e2, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e2, yields:
% 39.62/11.12 | (1558) all_0_85_85 = e2
% 39.62/11.12 |
% 39.62/11.12 | Instantiating formula (268) with e0, e1, e1, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e1, yields:
% 39.62/11.12 | (1143) all_0_86_86 = e1
% 39.62/11.12 |
% 39.62/11.12 | Equations (679) can reduce 140 to:
% 39.62/11.12 | (680) ~ (all_0_74_74 = e3)
% 39.62/11.12 |
% 39.62/11.12 | Equations (1143) can reduce 32 to:
% 39.62/11.12 | (715) ~ (all_0_74_74 = e1)
% 39.62/11.12 |
% 39.62/11.12 | Equations (687) can reduce 297 to:
% 39.62/11.12 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.12 |
% 39.62/11.12 | Equations (1073) can reduce 202 to:
% 39.62/11.12 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.12 |
% 39.62/11.12 | Equations (1558) can reduce 85 to:
% 39.62/11.12 | (423) ~ (all_0_77_77 = e2)
% 39.62/11.12 |
% 39.62/11.12 | Equations (1143) can reduce 284 to:
% 39.62/11.12 | (470) ~ (all_0_82_82 = e1)
% 39.62/11.12 |
% 39.62/11.12 | From (1073) and (260) follows:
% 39.62/11.12 | (6819) op(e3, e2) = all_0_57_57
% 39.62/11.12 |
% 39.62/11.12 | From (1558) and (244) follows:
% 39.62/11.12 | (2551) op(e2, e3) = all_0_60_60
% 39.62/11.12 |
% 39.62/11.12 | From (687) and (227) follows:
% 39.62/11.12 | (6821) op(e3, e2) = all_0_15_15
% 39.62/11.12 |
% 39.62/11.12 | From (1558) and (115) follows:
% 39.62/11.12 | (6823) op(e3, e2) = all_0_21_21
% 39.62/11.12 |
% 39.62/11.12 | From (679) and (53) follows:
% 39.62/11.12 | (6824) op(e2, e3) = all_0_27_27
% 39.62/11.12 |
% 39.62/11.12 | From (1143) and (223) follows:
% 39.62/11.12 | (2491) op(e0, e1) = e1
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (19), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (673) all_0_76_76 = e3
% 39.62/11.12 |
% 39.62/11.12 | Equations (673) can reduce 677 to:
% 39.62/11.12 | (304) $false
% 39.62/11.12 |
% 39.62/11.12 |-The branch is then unsatisfiable
% 39.62/11.12 |-Branch two:
% 39.62/11.12 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.12 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 39.62/11.12 |
% 39.62/11.12 +-Applying beta-rule and splitting (678), into two cases.
% 39.62/11.12 |-Branch one:
% 39.62/11.12 | (761) all_0_76_76 = e2
% 39.62/11.13 |
% 39.62/11.13 | Equations (761) can reduce 765 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.13 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (766), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (781) all_0_76_76 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (781) can reduce 96 to:
% 39.62/11.13 | (6849) ~ (all_0_77_77 = e1)
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6849 yields:
% 39.62/11.13 | (466) ~ (all_0_77_77 = e1)
% 39.62/11.13 |
% 39.62/11.13 | Equations (781) can reduce 173 to:
% 39.62/11.13 | (6102) ~ (all_0_80_80 = e1)
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6102 yields:
% 39.62/11.13 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.13 |
% 39.62/11.13 | From (781) and (99) follows:
% 39.62/11.13 | (6852) op(e1, e0) = all_0_27_27
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (94), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (449) all_0_77_77 = e3
% 39.62/11.13 |
% 39.62/11.13 | Equations (449) can reduce 66 to:
% 39.62/11.13 | (882) ~ (all_0_73_73 = e3)
% 39.62/11.13 |
% 39.62/11.13 | From (449) and (14) follows:
% 39.62/11.13 | (666) op(e2, e3) = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (11), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (691) all_0_74_74 = e3
% 39.62/11.13 |
% 39.62/11.13 | Equations (691) can reduce 680 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (680) ~ (all_0_74_74 = e3)
% 39.62/11.13 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (7366), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (7095) ~ (all_0_29_29 = e1)
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (694), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (699) all_0_74_74 = e2
% 39.62/11.13 |
% 39.62/11.13 | Equations (699) can reduce 199 to:
% 39.62/11.13 | (888) ~ (all_0_73_73 = e2)
% 39.62/11.13 |
% 39.62/11.13 | Equations (699) can reduce 28 to:
% 39.62/11.13 | (3830) ~ (all_0_82_82 = e2)
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 3830 yields:
% 39.62/11.13 | (427) ~ (all_0_82_82 = e2)
% 39.62/11.13 |
% 39.62/11.13 | From (699) and (67) follows:
% 39.62/11.13 | (2457) op(e2, e3) = all_0_16_16
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (241), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (448) all_0_82_82 = e3
% 39.62/11.13 |
% 39.62/11.13 | Equations (448) can reduce 141 to:
% 39.62/11.13 | (1250) ~ (all_0_80_80 = e3)
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (245), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (1015) all_0_80_80 = e3
% 39.62/11.13 |
% 39.62/11.13 | Equations (1015) can reduce 1250 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (1250) ~ (all_0_80_80 = e3)
% 39.62/11.13 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (71), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (878) all_0_73_73 = e3
% 39.62/11.13 |
% 39.62/11.13 | Equations (878) can reduce 882 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (882) ~ (all_0_73_73 = e3)
% 39.62/11.13 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (1251), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (843) all_0_80_80 = e2
% 39.62/11.13 |
% 39.62/11.13 | From (843) and (159) follows:
% 39.62/11.13 | (2459) op(e3, e2) = all_0_16_16
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (883), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (884) all_0_73_73 = e2
% 39.62/11.13 |
% 39.62/11.13 | Equations (884) can reduce 888 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (888) ~ (all_0_73_73 = e2)
% 39.62/11.13 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (889), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (890) all_0_73_73 = e1
% 39.62/11.13 |
% 39.62/11.13 | From (890) and (121) follows:
% 39.62/11.13 | (2869) op(e1, e0) = all_0_15_15
% 39.62/11.13 |
% 39.62/11.13 | From (890) and (56) follows:
% 39.62/11.13 | (6876) op(e0, e1) = all_0_57_57
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e3, e2, all_0_16_16, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_16_16, yields:
% 39.62/11.13 | (2967) all_0_15_15 = all_0_16_16
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e3, e2, all_0_21_21, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_21_21, yields:
% 39.62/11.13 | (6880) all_0_15_15 = all_0_21_21
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e3, e2, all_0_57_57, all_0_15_15 and discharging atoms op(e3, e2) = all_0_15_15, op(e3, e2) = all_0_57_57, yields:
% 39.62/11.13 | (6881) all_0_15_15 = all_0_57_57
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e2, e3, all_0_29_29, all_0_16_16 and discharging atoms op(e2, e3) = all_0_16_16, op(e2, e3) = all_0_29_29, yields:
% 39.62/11.13 | (6882) all_0_16_16 = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e2, e3, all_0_60_60, all_0_27_27 and discharging atoms op(e2, e3) = all_0_27_27, op(e2, e3) = all_0_60_60, yields:
% 39.62/11.13 | (6883) all_0_27_27 = all_0_60_60
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e1, e0, all_0_27_27, all_0_15_15 and discharging atoms op(e1, e0) = all_0_15_15, op(e1, e0) = all_0_27_27, yields:
% 39.62/11.13 | (553) all_0_15_15 = all_0_27_27
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e0, e1, all_0_57_57, e1 and discharging atoms op(e0, e1) = all_0_57_57, op(e0, e1) = e1, yields:
% 39.62/11.13 | (6737) all_0_57_57 = e1
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (2967,6880) yields a new equation:
% 39.62/11.13 | (6895) all_0_16_16 = all_0_21_21
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6895 yields:
% 39.62/11.13 | (1581) all_0_16_16 = all_0_21_21
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (553,6880) yields a new equation:
% 39.62/11.13 | (6724) all_0_21_21 = all_0_27_27
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (6881,6880) yields a new equation:
% 39.62/11.13 | (1766) all_0_21_21 = all_0_57_57
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (1581,6882) yields a new equation:
% 39.62/11.13 | (6899) all_0_21_21 = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6899 yields:
% 39.62/11.13 | (1765) all_0_21_21 = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (6724,1765) yields a new equation:
% 39.62/11.13 | (6905) all_0_27_27 = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6905 yields:
% 39.62/11.13 | (1774) all_0_27_27 = all_0_29_29
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (1766,1765) yields a new equation:
% 39.62/11.13 | (1780) all_0_29_29 = all_0_57_57
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (6883,1774) yields a new equation:
% 39.62/11.13 | (6911) all_0_29_29 = all_0_60_60
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (1780,6911) yields a new equation:
% 39.62/11.13 | (6914) all_0_57_57 = all_0_60_60
% 39.62/11.13 |
% 39.62/11.13 | Simplifying 6914 yields:
% 39.62/11.13 | (557) all_0_57_57 = all_0_60_60
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (6737,557) yields a new equation:
% 39.62/11.13 | (2979) all_0_60_60 = e1
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (2979,6911) yields a new equation:
% 39.62/11.13 | (6745) all_0_29_29 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (6745) can reduce 7095 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (894) ~ (all_0_73_73 = e1)
% 39.62/11.13 | (895) all_0_73_73 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (895) can reduce 1832 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.13 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (1264), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (1013) all_0_80_80 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (1013) can reduce 1087 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.13 | (1268) all_0_80_80 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (1268) can reduce 1260 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (454) ~ (all_0_82_82 = e3)
% 39.62/11.13 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (853), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (417) all_0_82_82 = e2
% 39.62/11.13 |
% 39.62/11.13 | Equations (417) can reduce 427 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (427) ~ (all_0_82_82 = e2)
% 39.62/11.13 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (866), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (464) all_0_82_82 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (464) can reduce 470 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (470) ~ (all_0_82_82 = e1)
% 39.62/11.13 | (480) all_0_82_82 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (480) can reduce 486 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (643) ~ (all_0_74_74 = e2)
% 39.62/11.13 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (702), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (707) all_0_74_74 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (707) can reduce 715 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (715) ~ (all_0_74_74 = e1)
% 39.62/11.13 | (716) all_0_74_74 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (716) can reduce 688 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (6745) all_0_29_29 = e1
% 39.62/11.13 | (450) ~ (all_0_77_77 = e3)
% 39.62/11.13 |
% 39.62/11.13 | Equations (449) can reduce 450 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (450) ~ (all_0_77_77 = e3)
% 39.62/11.13 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (1169), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (418) all_0_77_77 = e2
% 39.62/11.13 |
% 39.62/11.13 | Equations (418) can reduce 423 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (423) ~ (all_0_77_77 = e2)
% 39.62/11.13 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 39.62/11.13 |
% 39.62/11.13 +-Applying beta-rule and splitting (1176), into two cases.
% 39.62/11.13 |-Branch one:
% 39.62/11.13 | (465) all_0_77_77 = e1
% 39.62/11.13 |
% 39.62/11.13 | Equations (465) can reduce 466 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (466) ~ (all_0_77_77 = e1)
% 39.62/11.13 | (481) all_0_77_77 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (481) can reduce 482 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (797) ~ (all_0_76_76 = e1)
% 39.62/11.13 | (798) all_0_76_76 = e0
% 39.62/11.13 |
% 39.62/11.13 | Equations (798) can reduce 1836 to:
% 39.62/11.13 | (304) $false
% 39.62/11.13 |
% 39.62/11.13 |-The branch is then unsatisfiable
% 39.62/11.13 |-Branch two:
% 39.62/11.13 | (413) all_0_72_72 = e2
% 39.62/11.13 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 39.62/11.13 |
% 39.62/11.13 | Combining equations (413,399) yields a new equation:
% 39.62/11.13 | (415) unit = e2
% 39.62/11.13 |
% 39.62/11.13 | From (415) and (39) follows:
% 39.62/11.13 | (4894) op(e1, e2) = e1
% 39.62/11.13 |
% 39.62/11.13 | From (415) and (6455) follows:
% 39.62/11.13 | (7001) op(e1, e2) = e2
% 39.62/11.13 |
% 39.62/11.13 | Instantiating formula (268) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 39.62/11.14 | (1219) e2 = e1
% 39.62/11.14 |
% 39.62/11.14 | Equations (1219) can reduce 12 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (491) ~ (all_0_4_4 = e3)
% 39.62/11.14 | (492) all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (492), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (493) all_0_4_4 = e2
% 39.62/11.14 |
% 39.62/11.14 | Equations (493) can reduce 395 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (395) ~ (all_0_4_4 = e2)
% 39.62/11.14 | (496) all_0_4_4 = e1 | all_0_4_4 = e0
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (496), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (497) all_0_4_4 = e1
% 39.62/11.14 |
% 39.62/11.14 | Equations (497) can reduce 312 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (312) ~ (all_0_4_4 = e1)
% 39.62/11.14 | (500) all_0_4_4 = e0
% 39.62/11.14 |
% 39.62/11.14 | Equations (500) can reduce 360 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (500) all_0_4_4 = e0
% 39.62/11.14 | (348) all_0_7_7 = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (500,348) can reduce 179 to:
% 39.62/11.14 | (1354) ~ (e3 = e0)
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 1354 yields:
% 39.62/11.14 | (46) ~ (e3 = e0)
% 39.62/11.14 |
% 39.62/11.14 | From (500) and (289) follows:
% 39.62/11.14 | (1713) op(e3, e0) = unit
% 39.62/11.14 |
% 39.62/11.14 | From (348) and (243) follows:
% 39.62/11.14 | (1476) op(e0, e3) = unit
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e3, e0, unit, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = unit, yields:
% 39.62/11.14 | (1721) all_0_75_75 = unit
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e0, e3, unit, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = unit, yields:
% 39.62/11.14 | (1723) all_0_84_84 = unit
% 39.62/11.14 |
% 39.62/11.14 | Equations (1723) can reduce 132 to:
% 39.62/11.14 | (515) ~ (all_0_72_72 = unit)
% 39.62/11.14 |
% 39.62/11.14 | Equations (1721) can reduce 106 to:
% 39.62/11.14 | (1725) ~ (all_0_73_73 = unit)
% 39.62/11.14 |
% 39.62/11.14 | Equations (1721) can reduce 140 to:
% 39.62/11.14 | (517) ~ (all_0_74_74 = unit)
% 39.62/11.14 |
% 39.62/11.14 | Equations (1723) can reduce 202 to:
% 39.62/11.14 | (1729) ~ (all_0_76_76 = unit)
% 39.62/11.14 |
% 39.62/11.14 | Equations (1723) can reduce 279 to:
% 39.62/11.14 | (531) ~ (all_0_80_80 = unit)
% 39.62/11.14 |
% 39.62/11.14 | From (1721) and (15) follows:
% 39.62/11.14 | (1743) op(unit, e3) = all_0_20_20
% 39.62/11.14 |
% 39.62/11.14 | From (1721) and (163) follows:
% 39.62/11.14 | (1746) op(unit, e0) = all_0_23_23
% 39.62/11.14 |
% 39.62/11.14 | From (1723) and (259) follows:
% 39.62/11.14 | (1751) op(unit, e3) = all_0_56_56
% 39.62/11.14 |
% 39.62/11.14 | From (1723) and (49) follows:
% 39.62/11.14 | (7775) op(unit, e0) = all_0_59_59
% 39.62/11.14 |
% 39.62/11.14 | From (1721) and (100) follows:
% 39.62/11.14 | (1754) op(e3, unit) = all_0_11_11
% 39.62/11.14 |
% 39.62/11.14 | From (1723) and (95) follows:
% 39.62/11.14 | (1755) op(e3, unit) = all_0_20_20
% 39.62/11.14 |
% 39.62/11.14 | From (1721) and (282) follows:
% 39.62/11.14 | (7778) op(e0, unit) = all_0_59_59
% 39.62/11.14 |
% 39.62/11.14 | From (1723) and (290) follows:
% 39.62/11.14 | (7779) op(e0, unit) = all_0_68_68
% 39.62/11.14 |
% 39.62/11.14 | From (1723) and (194) follows:
% 39.62/11.14 | (1476) op(e0, e3) = unit
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with unit, e3, all_0_56_56, all_0_20_20 and discharging atoms op(unit, e3) = all_0_20_20, op(unit, e3) = all_0_56_56, yields:
% 39.62/11.14 | (1764) all_0_20_20 = all_0_56_56
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with unit, e0, all_0_23_23, e0 and discharging atoms op(unit, e0) = all_0_23_23, op(unit, e0) = e0, yields:
% 39.62/11.14 | (1770) all_0_23_23 = e0
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with unit, e0, all_0_59_59, all_0_23_23 and discharging atoms op(unit, e0) = all_0_23_23, op(unit, e0) = all_0_59_59, yields:
% 39.62/11.14 | (7783) all_0_23_23 = all_0_59_59
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e3, unit, all_0_11_11, e3 and discharging atoms op(e3, unit) = all_0_11_11, op(e3, unit) = e3, yields:
% 39.62/11.14 | (1798) all_0_11_11 = e3
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e3, unit, all_0_20_20, all_0_11_11 and discharging atoms op(e3, unit) = all_0_11_11, op(e3, unit) = all_0_20_20, yields:
% 39.62/11.14 | (1772) all_0_11_11 = all_0_20_20
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e0, unit, all_0_68_68, all_0_59_59 and discharging atoms op(e0, unit) = all_0_59_59, op(e0, unit) = all_0_68_68, yields:
% 39.62/11.14 | (7786) all_0_59_59 = all_0_68_68
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1798,1772) yields a new equation:
% 39.62/11.14 | (1797) all_0_20_20 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1797,1764) yields a new equation:
% 39.62/11.14 | (1788) all_0_56_56 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1770,7783) yields a new equation:
% 39.62/11.14 | (7789) all_0_59_59 = e0
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (7786,7789) yields a new equation:
% 39.62/11.14 | (7790) all_0_68_68 = e0
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 7790 yields:
% 39.62/11.14 | (7791) all_0_68_68 = e0
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (7789,7783) yields a new equation:
% 39.62/11.14 | (1770) all_0_23_23 = e0
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1788,1764) yields a new equation:
% 39.62/11.14 | (1797) all_0_20_20 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1797,1772) yields a new equation:
% 39.62/11.14 | (1798) all_0_11_11 = e3
% 39.62/11.14 |
% 39.62/11.14 | From (1798) and (128) follows:
% 39.62/11.14 | (1800) op(all_0_72_72, e0) = e3
% 39.62/11.14 |
% 39.62/11.14 | From (1770) and (158) follows:
% 39.62/11.14 | (1806) op(e3, all_0_87_87) = e0
% 39.62/11.14 |
% 39.62/11.14 | From (1788) and (196) follows:
% 39.62/11.14 | (1809) op(e0, all_0_72_72) = e3
% 39.62/11.14 |
% 39.62/11.14 | From (7791) and (7779) follows:
% 39.62/11.14 | (8) op(e0, unit) = e0
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (50), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (695) all_0_78_78 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (6456,695) yields a new equation:
% 39.62/11.14 | (408) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 408 yields:
% 39.62/11.14 | (409) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | From (409) and (8) follows:
% 39.62/11.14 | (1357) op(e0, e3) = e0
% 39.62/11.14 |
% 39.62/11.14 | From (409) and (1476) follows:
% 39.62/11.14 | (1356) op(e0, e3) = e3
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 39.62/11.14 | (1217) e3 = e0
% 39.62/11.14 |
% 39.62/11.14 | Equations (1217) can reduce 46 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (657) ~ (all_0_78_78 = e3)
% 39.62/11.14 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 39.62/11.14 |
% 39.62/11.14 | Equations (6456) can reduce 657 to:
% 39.62/11.14 | (406) ~ (unit = e3)
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (240), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (1073) all_0_84_84 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (1073,1723) yields a new equation:
% 39.62/11.14 | (409) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (409) can reduce 406 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (1059) ~ (all_0_84_84 = e3)
% 39.62/11.14 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 39.62/11.14 |
% 39.62/11.14 | Equations (1723) can reduce 1059 to:
% 39.62/11.14 | (406) ~ (unit = e3)
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (74), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (679) all_0_75_75 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (679,1721) yields a new equation:
% 39.62/11.14 | (409) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (409) can reduce 406 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (718) ~ (all_0_75_75 = e3)
% 39.62/11.14 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 39.62/11.14 |
% 39.62/11.14 | Equations (1721) can reduce 718 to:
% 39.62/11.14 | (406) ~ (unit = e3)
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (176), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (825) all_0_81_81 = e3
% 39.62/11.14 |
% 39.62/11.14 | Combining equations (6457,825) yields a new equation:
% 39.62/11.14 | (408) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 408 yields:
% 39.62/11.14 | (409) unit = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (409) can reduce 406 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (1120) ~ (all_0_81_81 = e3)
% 39.62/11.14 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (34), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (447) all_0_87_87 = e3
% 39.62/11.14 |
% 39.62/11.14 | From (447) and (1806) follows:
% 39.62/11.14 | (1864) op(e3, e3) = e0
% 39.62/11.14 |
% 39.62/11.14 | From (447) and (103) follows:
% 39.62/11.14 | (2340) op(e2, e3) = all_0_39_39
% 39.62/11.14 |
% 39.62/11.14 | From (447) and (203) follows:
% 39.62/11.14 | (2725) op(e1, e3) = all_0_55_55
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e3, e3, e0, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e0, yields:
% 39.62/11.14 | (439) all_0_72_72 = e0
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e2, e3, all_0_39_39, all_0_76_76 and discharging atoms op(e2, e3) = all_0_39_39, op(e2, e3) = all_0_76_76, yields:
% 39.62/11.14 | (2377) all_0_39_39 = all_0_76_76
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e1, e3, all_0_55_55, all_0_80_80 and discharging atoms op(e1, e3) = all_0_55_55, op(e1, e3) = all_0_80_80, yields:
% 39.62/11.14 | (2754) all_0_55_55 = all_0_80_80
% 39.62/11.14 |
% 39.62/11.14 | Equations (439) can reduce 249 to:
% 39.62/11.14 | (1835) ~ (all_0_76_76 = e0)
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 1835 yields:
% 39.62/11.14 | (1836) ~ (all_0_76_76 = e0)
% 39.62/11.14 |
% 39.62/11.14 | Equations (439) can reduce 292 to:
% 39.62/11.14 | (1837) ~ (all_0_80_80 = e0)
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 1837 yields:
% 39.62/11.14 | (1260) ~ (all_0_80_80 = e0)
% 39.62/11.14 |
% 39.62/11.14 | Equations (439) can reduce 515 to:
% 39.62/11.14 | (1031) ~ (unit = e0)
% 39.62/11.14 |
% 39.62/11.14 | Simplifying 1031 yields:
% 39.62/11.14 | (402) ~ (unit = e0)
% 39.62/11.14 |
% 39.62/11.14 | From (2377) and (2340) follows:
% 39.62/11.14 | (208) op(e2, e3) = all_0_76_76
% 39.62/11.14 |
% 39.62/11.14 | From (2754) and (2725) follows:
% 39.62/11.14 | (213) op(e1, e3) = all_0_80_80
% 39.62/11.14 |
% 39.62/11.14 +-Applying beta-rule and splitting (245), into two cases.
% 39.62/11.14 |-Branch one:
% 39.62/11.14 | (1015) all_0_80_80 = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (1015) can reduce 173 to:
% 39.62/11.14 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.14 |
% 39.62/11.14 | From (1015) and (6511) follows:
% 39.62/11.14 | (903) op(e2, e3) = e3
% 39.62/11.14 |
% 39.62/11.14 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 39.62/11.14 | (673) all_0_76_76 = e3
% 39.62/11.14 |
% 39.62/11.14 | Equations (673) can reduce 677 to:
% 39.62/11.14 | (304) $false
% 39.62/11.14 |
% 39.62/11.14 |-The branch is then unsatisfiable
% 39.62/11.14 |-Branch two:
% 39.62/11.14 | (1250) ~ (all_0_80_80 = e3)
% 39.62/11.15 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (19), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (673) all_0_76_76 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (673) can reduce 173 to:
% 39.62/11.15 | (1889) ~ (all_0_80_80 = e3)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 1889 yields:
% 39.62/11.15 | (1250) ~ (all_0_80_80 = e3)
% 39.62/11.15 |
% 39.62/11.15 | From (673) and (6514) follows:
% 39.62/11.15 | (1009) op(e1, e3) = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e1, e3, e3, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e3, yields:
% 39.62/11.15 | (1015) all_0_80_80 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (1015) can reduce 1250 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.15 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (698), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (703) all_0_78_78 = e2
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (6456,703) yields a new equation:
% 39.62/11.15 | (414) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 414 yields:
% 39.62/11.15 | (415) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 1729 to:
% 39.62/11.15 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 531 to:
% 39.62/11.15 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (678), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (761) all_0_76_76 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (761) can reduce 765 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.15 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1251), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (843) all_0_80_80 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (843) can reduce 1103 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.15 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1264), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (1013) all_0_80_80 = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (1013) can reduce 173 to:
% 39.62/11.15 | (797) ~ (all_0_76_76 = e1)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (766), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (781) all_0_76_76 = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (781) can reduce 797 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (797) ~ (all_0_76_76 = e1)
% 39.62/11.15 | (798) all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (798) can reduce 1836 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.15 | (1268) all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (1268) can reduce 1260 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (689) ~ (all_0_78_78 = e2)
% 39.62/11.15 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (6456) can reduce 689 to:
% 39.62/11.15 | (622) ~ (unit = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1661), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (618) all_0_84_84 = e2
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (618,1723) yields a new equation:
% 39.62/11.15 | (415) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 622 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1050) ~ (all_0_84_84 = e2)
% 39.62/11.15 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (1723) can reduce 1050 to:
% 39.62/11.15 | (622) ~ (unit = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (719), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (736) all_0_75_75 = e2
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (736,1721) yields a new equation:
% 39.62/11.15 | (415) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 622 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (645) ~ (all_0_75_75 = e2)
% 39.62/11.15 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (1721) can reduce 645 to:
% 39.62/11.15 | (622) ~ (unit = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1142), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (1155) all_0_81_81 = e2
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (6457,1155) yields a new equation:
% 39.62/11.15 | (414) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 414 yields:
% 39.62/11.15 | (415) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 622 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1104) ~ (all_0_81_81 = e2)
% 39.62/11.15 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1158), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (1163) all_0_81_81 = e1
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (6457,1163) yields a new equation:
% 39.62/11.15 | (435) unit = e1
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 435 yields:
% 39.62/11.15 | (436) unit = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (436) can reduce 1729 to:
% 39.62/11.15 | (797) ~ (all_0_76_76 = e1)
% 39.62/11.15 |
% 39.62/11.15 | Equations (436) can reduce 531 to:
% 39.62/11.15 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1251), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (843) all_0_80_80 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (843) can reduce 173 to:
% 39.62/11.15 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (678), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (761) all_0_76_76 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (761) can reduce 765 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.15 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (766), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (781) all_0_76_76 = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (781) can reduce 797 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (797) ~ (all_0_76_76 = e1)
% 39.62/11.15 | (798) all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (798) can reduce 1836 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.15 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1264), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (1013) all_0_80_80 = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (1013) can reduce 1087 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.15 | (1268) all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (1268) can reduce 1260 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1227) ~ (all_0_81_81 = e1)
% 39.62/11.15 | (1228) all_0_81_81 = e0
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (6457,1228) yields a new equation:
% 39.62/11.15 | (440) unit = e0
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 440 yields:
% 39.62/11.15 | (441) unit = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (441) can reduce 402 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (457) ~ (all_0_87_87 = e3)
% 39.62/11.15 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (147), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (419) ~ (all_0_72_72 = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (24), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (407) all_0_72_72 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (407) can reduce 515 to:
% 39.62/11.15 | (607) ~ (unit = e3)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 607 yields:
% 39.62/11.15 | (406) ~ (unit = e3)
% 39.62/11.15 |
% 39.62/11.15 | From (407) and (1809) follows:
% 39.62/11.15 | (1356) op(e0, e3) = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e0, e3, e3, unit and discharging atoms op(e0, e3) = unit, op(e0, e3) = e3, yields:
% 39.62/11.15 | (409) unit = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (409) can reduce 406 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (405) ~ (all_0_72_72 = e3)
% 39.62/11.15 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (245), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (1015) all_0_80_80 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (1015) can reduce 173 to:
% 39.62/11.15 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.15 |
% 39.62/11.15 | From (1015) and (6511) follows:
% 39.62/11.15 | (903) op(e2, e3) = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 39.62/11.15 | (673) all_0_76_76 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (673) can reduce 677 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (1250) ~ (all_0_80_80 = e3)
% 39.62/11.15 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (230), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (403) ~ (all_0_72_72 = e1)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (412), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (413) all_0_72_72 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (413) can reduce 419 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (419) ~ (all_0_72_72 = e2)
% 39.62/11.15 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (433), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (434) all_0_72_72 = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (434) can reduce 403 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (403) ~ (all_0_72_72 = e1)
% 39.62/11.15 | (439) all_0_72_72 = e0
% 39.62/11.15 |
% 39.62/11.15 | From (439) and (1809) follows:
% 39.62/11.15 | (1846) op(e0, e0) = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e0, e0, e3, all_0_87_87 and discharging atoms op(e0, e0) = all_0_87_87, op(e0, e0) = e3, yields:
% 39.62/11.15 | (447) all_0_87_87 = e3
% 39.62/11.15 |
% 39.62/11.15 | Equations (447) can reduce 457 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (434) all_0_72_72 = e1
% 39.62/11.15 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 39.62/11.15 |
% 39.62/11.15 | Equations (434) can reduce 134 to:
% 39.62/11.15 | (1401) ~ (all_0_74_74 = e1)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 1401 yields:
% 39.62/11.15 | (715) ~ (all_0_74_74 = e1)
% 39.62/11.15 |
% 39.62/11.15 | Equations (434) can reduce 515 to:
% 39.62/11.15 | (928) ~ (unit = e1)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 928 yields:
% 39.62/11.15 | (404) ~ (unit = e1)
% 39.62/11.15 |
% 39.62/11.15 | From (434) and (4) follows:
% 39.62/11.15 | (816) op(e1, e3) = all_0_8_8
% 39.62/11.15 |
% 39.62/11.15 | From (434) and (1800) follows:
% 39.62/11.15 | (2202) op(e1, e0) = e3
% 39.62/11.15 |
% 39.62/11.15 | From (434) and (2) follows:
% 39.62/11.15 | (819) op(e3, e1) = all_0_8_8
% 39.62/11.15 |
% 39.62/11.15 | From (434) and (1809) follows:
% 39.62/11.15 | (1094) op(e0, e1) = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e3, e1, all_0_8_8, all_0_74_74 and discharging atoms op(e3, e1) = all_0_8_8, op(e3, e1) = all_0_74_74, yields:
% 39.62/11.15 | (822) all_0_8_8 = all_0_74_74
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e1, e3, all_0_8_8, all_0_80_80 and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = all_0_80_80, yields:
% 39.62/11.15 | (824) all_0_8_8 = all_0_80_80
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 39.62/11.15 | (1110) all_0_83_83 = e3
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 39.62/11.15 | (1114) all_0_86_86 = e3
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (822,824) yields a new equation:
% 39.62/11.15 | (828) all_0_74_74 = all_0_80_80
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 828 yields:
% 39.62/11.15 | (829) all_0_74_74 = all_0_80_80
% 39.62/11.15 |
% 39.62/11.15 | Equations (829) can reduce 517 to:
% 39.62/11.15 | (531) ~ (all_0_80_80 = unit)
% 39.62/11.15 |
% 39.62/11.15 | Equations (829) can reduce 715 to:
% 39.62/11.15 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.15 |
% 39.62/11.15 | From (1110) and (6512) follows:
% 39.62/11.15 | (683) op(e2, e3) = e0
% 39.62/11.15 |
% 39.62/11.15 | From (1114) and (232) follows:
% 39.62/11.15 | (2438) op(e2, e3) = all_0_38_38
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e2, e3, all_0_38_38, all_0_76_76 and discharging atoms op(e2, e3) = all_0_38_38, op(e2, e3) = all_0_76_76, yields:
% 39.62/11.15 | (7979) all_0_38_38 = all_0_76_76
% 39.62/11.15 |
% 39.62/11.15 | Instantiating formula (268) with e2, e3, e0, all_0_38_38 and discharging atoms op(e2, e3) = all_0_38_38, op(e2, e3) = e0, yields:
% 39.62/11.15 | (6885) all_0_38_38 = e0
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (7979,6885) yields a new equation:
% 39.62/11.15 | (2168) all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 2168 yields:
% 39.62/11.15 | (798) all_0_76_76 = e0
% 39.62/11.15 |
% 39.62/11.15 | Equations (798) can reduce 173 to:
% 39.62/11.15 | (1837) ~ (all_0_80_80 = e0)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 1837 yields:
% 39.62/11.15 | (1260) ~ (all_0_80_80 = e0)
% 39.62/11.15 |
% 39.62/11.15 | Equations (798) can reduce 1729 to:
% 39.62/11.15 | (1031) ~ (unit = e0)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 1031 yields:
% 39.62/11.15 | (402) ~ (unit = e0)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (1251), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (843) all_0_80_80 = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (843) can reduce 531 to:
% 39.62/11.15 | (621) ~ (unit = e2)
% 39.62/11.15 |
% 39.62/11.15 | Simplifying 621 yields:
% 39.62/11.15 | (622) ~ (unit = e2)
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (698), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (703) all_0_78_78 = e2
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (703,6456) yields a new equation:
% 39.62/11.15 | (415) unit = e2
% 39.62/11.15 |
% 39.62/11.15 | Equations (415) can reduce 622 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (689) ~ (all_0_78_78 = e2)
% 39.62/11.15 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 39.62/11.15 |
% 39.62/11.15 +-Applying beta-rule and splitting (706), into two cases.
% 39.62/11.15 |-Branch one:
% 39.62/11.15 | (710) all_0_78_78 = e1
% 39.62/11.15 |
% 39.62/11.15 | Combining equations (710,6456) yields a new equation:
% 39.62/11.15 | (436) unit = e1
% 39.62/11.15 |
% 39.62/11.15 | Equations (436) can reduce 404 to:
% 39.62/11.15 | (304) $false
% 39.62/11.15 |
% 39.62/11.15 |-The branch is then unsatisfiable
% 39.62/11.15 |-Branch two:
% 39.62/11.15 | (709) ~ (all_0_78_78 = e1)
% 39.62/11.15 | (713) all_0_78_78 = e0
% 39.62/11.15 |
% 39.62/11.16 | Combining equations (713,6456) yields a new equation:
% 39.62/11.16 | (441) unit = e0
% 39.62/11.16 |
% 39.62/11.16 | Equations (441) can reduce 402 to:
% 39.62/11.16 | (304) $false
% 39.62/11.16 |
% 39.62/11.16 |-The branch is then unsatisfiable
% 39.62/11.16 |-Branch two:
% 39.62/11.16 | (1103) ~ (all_0_80_80 = e2)
% 39.62/11.16 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 39.62/11.16 |
% 39.62/11.16 +-Applying beta-rule and splitting (1264), into two cases.
% 39.62/11.16 |-Branch one:
% 39.62/11.16 | (1013) all_0_80_80 = e1
% 39.62/11.16 |
% 39.62/11.16 | Equations (1013) can reduce 1087 to:
% 39.62/11.16 | (304) $false
% 39.62/11.16 |
% 39.62/11.16 |-The branch is then unsatisfiable
% 39.62/11.16 |-Branch two:
% 39.62/11.16 | (1087) ~ (all_0_80_80 = e1)
% 39.62/11.16 | (1268) all_0_80_80 = e0
% 39.62/11.16 |
% 39.62/11.16 | Equations (1268) can reduce 1260 to:
% 39.62/11.16 | (304) $false
% 39.62/11.16 |
% 39.62/11.16 |-The branch is then unsatisfiable
% 39.62/11.16 |-Branch two:
% 39.62/11.16 | (413) all_0_72_72 = e2
% 39.62/11.16 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 39.62/11.16 |
% 39.62/11.16 | Equations (413) can reduce 17 to:
% 39.62/11.16 | (2797) ~ (all_0_73_73 = e2)
% 39.62/11.16 |
% 39.62/11.16 | Simplifying 2797 yields:
% 39.62/11.16 | (888) ~ (all_0_73_73 = e2)
% 39.62/11.16 |
% 39.62/11.16 | Equations (413) can reduce 515 to:
% 39.62/11.16 | (621) ~ (unit = e2)
% 39.62/11.16 |
% 39.62/11.16 | Simplifying 621 yields:
% 39.62/11.16 | (622) ~ (unit = e2)
% 39.62/11.16 |
% 39.62/11.16 | From (413) and (4) follows:
% 39.62/11.16 | (648) op(e2, e3) = all_0_8_8
% 39.62/11.16 |
% 39.62/11.16 | From (413) and (1800) follows:
% 39.62/11.16 | (595) op(e2, e0) = e3
% 39.62/11.16 |
% 39.62/11.16 | From (413) and (2) follows:
% 39.62/11.16 | (2144) op(e3, e2) = all_0_8_8
% 39.62/11.16 |
% 39.62/11.16 | From (413) and (1809) follows:
% 39.62/11.16 | (592) op(e0, e2) = e3
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 39.62/11.16 | (2147) all_0_8_8 = all_0_73_73
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 39.62/11.16 | (2148) all_0_8_8 = all_0_76_76
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e2, e0, e3, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = e3, yields:
% 39.62/11.16 | (598) all_0_79_79 = e3
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e0, e2, e3, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = e3, yields:
% 39.62/11.16 | (600) all_0_85_85 = e3
% 39.62/11.16 |
% 39.62/11.16 | Combining equations (2147,2148) yields a new equation:
% 39.62/11.16 | (2153) all_0_73_73 = all_0_76_76
% 39.62/11.16 |
% 39.62/11.16 | Simplifying 2153 yields:
% 39.62/11.16 | (2154) all_0_73_73 = all_0_76_76
% 39.62/11.16 |
% 39.62/11.16 | Equations (2154) can reduce 1725 to:
% 39.62/11.16 | (1729) ~ (all_0_76_76 = unit)
% 39.62/11.16 |
% 39.62/11.16 | Equations (2154) can reduce 888 to:
% 39.62/11.16 | (765) ~ (all_0_76_76 = e2)
% 39.62/11.16 |
% 39.62/11.16 | Equations (598) can reduce 297 to:
% 39.62/11.16 | (677) ~ (all_0_76_76 = e3)
% 39.62/11.16 |
% 39.62/11.16 | From (598) and (6515) follows:
% 39.62/11.16 | (2221) op(e1, e3) = e0
% 39.62/11.16 |
% 39.62/11.16 | From (600) and (36) follows:
% 39.62/11.16 | (8029) op(e1, e3) = all_0_53_53
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e1, e3, all_0_53_53, all_0_80_80 and discharging atoms op(e1, e3) = all_0_53_53, op(e1, e3) = all_0_80_80, yields:
% 39.62/11.16 | (8030) all_0_53_53 = all_0_80_80
% 39.62/11.16 |
% 39.62/11.16 | Instantiating formula (268) with e1, e3, e0, all_0_53_53 and discharging atoms op(e1, e3) = all_0_53_53, op(e1, e3) = e0, yields:
% 39.62/11.16 | (1202) all_0_53_53 = e0
% 39.62/11.16 |
% 39.62/11.16 | Combining equations (8030,1202) yields a new equation:
% 39.62/11.16 | (1466) all_0_80_80 = e0
% 39.62/11.16 |
% 39.88/11.16 | Simplifying 1466 yields:
% 39.88/11.16 | (1268) all_0_80_80 = e0
% 39.88/11.16 |
% 39.88/11.16 | Equations (1268) can reduce 173 to:
% 39.88/11.16 | (1836) ~ (all_0_76_76 = e0)
% 39.88/11.16 |
% 39.88/11.16 | Equations (1268) can reduce 531 to:
% 39.88/11.16 | (1031) ~ (unit = e0)
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 1031 yields:
% 39.88/11.16 | (402) ~ (unit = e0)
% 39.88/11.16 |
% 39.88/11.16 +-Applying beta-rule and splitting (71), into two cases.
% 39.88/11.16 |-Branch one:
% 39.88/11.16 | (878) all_0_73_73 = e3
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (878,2154) yields a new equation:
% 39.88/11.16 | (673) all_0_76_76 = e3
% 39.88/11.16 |
% 39.88/11.16 | Equations (673) can reduce 677 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (882) ~ (all_0_73_73 = e3)
% 39.88/11.16 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 39.88/11.16 |
% 39.88/11.16 +-Applying beta-rule and splitting (883), into two cases.
% 39.88/11.16 |-Branch one:
% 39.88/11.16 | (884) all_0_73_73 = e2
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (884,2154) yields a new equation:
% 39.88/11.16 | (761) all_0_76_76 = e2
% 39.88/11.16 |
% 39.88/11.16 | Equations (761) can reduce 765 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (888) ~ (all_0_73_73 = e2)
% 39.88/11.16 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 39.88/11.16 |
% 39.88/11.16 +-Applying beta-rule and splitting (1142), into two cases.
% 39.88/11.16 |-Branch one:
% 39.88/11.16 | (1155) all_0_81_81 = e2
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (6457,1155) yields a new equation:
% 39.88/11.16 | (414) unit = e2
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 414 yields:
% 39.88/11.16 | (415) unit = e2
% 39.88/11.16 |
% 39.88/11.16 | Equations (415) can reduce 622 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (1104) ~ (all_0_81_81 = e2)
% 39.88/11.16 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 39.88/11.16 |
% 39.88/11.16 +-Applying beta-rule and splitting (1158), into two cases.
% 39.88/11.16 |-Branch one:
% 39.88/11.16 | (1163) all_0_81_81 = e1
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (6457,1163) yields a new equation:
% 39.88/11.16 | (435) unit = e1
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 435 yields:
% 39.88/11.16 | (436) unit = e1
% 39.88/11.16 |
% 39.88/11.16 | Equations (436) can reduce 1729 to:
% 39.88/11.16 | (797) ~ (all_0_76_76 = e1)
% 39.88/11.16 |
% 39.88/11.16 +-Applying beta-rule and splitting (889), into two cases.
% 39.88/11.16 |-Branch one:
% 39.88/11.16 | (890) all_0_73_73 = e1
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (2154,890) yields a new equation:
% 39.88/11.16 | (2861) all_0_76_76 = e1
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 2861 yields:
% 39.88/11.16 | (781) all_0_76_76 = e1
% 39.88/11.16 |
% 39.88/11.16 | Equations (781) can reduce 797 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (894) ~ (all_0_73_73 = e1)
% 39.88/11.16 | (895) all_0_73_73 = e0
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (2154,895) yields a new equation:
% 39.88/11.16 | (2168) all_0_76_76 = e0
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 2168 yields:
% 39.88/11.16 | (798) all_0_76_76 = e0
% 39.88/11.16 |
% 39.88/11.16 | Equations (798) can reduce 1836 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (1227) ~ (all_0_81_81 = e1)
% 39.88/11.16 | (1228) all_0_81_81 = e0
% 39.88/11.16 |
% 39.88/11.16 | Combining equations (6457,1228) yields a new equation:
% 39.88/11.16 | (440) unit = e0
% 39.88/11.16 |
% 39.88/11.16 | Simplifying 440 yields:
% 39.88/11.16 | (441) unit = e0
% 39.88/11.16 |
% 39.88/11.16 | Equations (441) can reduce 402 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (352) all_0_7_7 = e2
% 39.88/11.16 | (507) all_0_5_5 = e0
% 39.88/11.16 |
% 39.88/11.16 | Equations (507) can reduce 298 to:
% 39.88/11.16 | (304) $false
% 39.88/11.16 |
% 39.88/11.16 |-The branch is then unsatisfiable
% 39.88/11.16 |-Branch two:
% 39.88/11.16 | (507) all_0_5_5 = e0
% 39.88/11.16 | (352) all_0_7_7 = e2
% 39.88/11.16 |
% 39.88/11.16 | Equations (507) can reduce 97 to:
% 39.88/11.16 | (360) ~ (all_0_4_4 = e0)
% 39.88/11.16 |
% 39.88/11.16 | Equations (352) can reduce 179 to:
% 39.88/11.16 | (395) ~ (all_0_4_4 = e2)
% 39.88/11.16 |
% 39.88/11.16 | Equations (507) can reduce 277 to:
% 39.88/11.16 | (8078) ~ (all_0_6_6 = e0)
% 39.88/11.16 |
% 39.89/11.16 | Simplifying 8078 yields:
% 39.89/11.16 | (301) ~ (all_0_6_6 = e0)
% 39.89/11.16 |
% 39.89/11.16 | Equations (507,352) can reduce 105 to:
% 39.89/11.16 | (8080) ~ (e2 = e0)
% 39.89/11.16 |
% 39.89/11.16 | Simplifying 8080 yields:
% 39.89/11.16 | (248) ~ (e2 = e0)
% 39.89/11.16 |
% 39.89/11.16 | Equations (352) can reduce 73 to:
% 39.89/11.16 | (300) ~ (all_0_6_6 = e2)
% 39.89/11.16 |
% 39.89/11.16 | From (507) and (197) follows:
% 39.89/11.16 | (8083) op(e2, e0) = unit
% 39.89/11.16 |
% 39.89/11.16 | From (352) and (243) follows:
% 39.89/11.16 | (8084) op(e0, e2) = unit
% 39.89/11.16 |
% 39.89/11.16 | Instantiating formula (268) with e2, e0, unit, all_0_79_79 and discharging atoms op(e2, e0) = all_0_79_79, op(e2, e0) = unit, yields:
% 39.89/11.16 | (8085) all_0_79_79 = unit
% 39.89/11.16 |
% 39.89/11.16 | Instantiating formula (268) with e0, e2, unit, all_0_85_85 and discharging atoms op(e0, e2) = all_0_85_85, op(e0, e2) = unit, yields:
% 39.89/11.16 | (8086) all_0_85_85 = unit
% 39.89/11.16 |
% 39.89/11.16 | Equations (8086) can reduce 85 to:
% 39.89/11.16 | (525) ~ (all_0_77_77 = unit)
% 39.89/11.16 |
% 39.89/11.16 | Equations (8086) can reduce 156 to:
% 39.89/11.16 | (1741) ~ (all_0_87_87 = unit)
% 39.89/11.16 |
% 39.89/11.16 | Simplifying 1741 yields:
% 39.89/11.16 | (1742) ~ (all_0_87_87 = unit)
% 39.89/11.16 |
% 39.89/11.16 | From (8085) and (87) follows:
% 39.89/11.16 | (8090) op(unit, e3) = all_0_36_36
% 39.89/11.16 |
% 39.89/11.16 | From (8085) and (131) follows:
% 39.89/11.16 | (8091) op(unit, e2) = all_0_37_37
% 39.89/11.16 |
% 39.89/11.16 | From (8085) and (293) follows:
% 39.89/11.16 | (8092) op(unit, e1) = all_0_38_38
% 39.89/11.16 |
% 39.89/11.16 | From (8085) and (269) follows:
% 39.89/11.16 | (8093) op(unit, e0) = all_0_39_39
% 39.89/11.16 |
% 39.89/11.16 | From (8086) and (244) follows:
% 39.89/11.16 | (8094) op(unit, e3) = all_0_60_60
% 39.89/11.16 |
% 39.89/11.16 | From (8086) and (186) follows:
% 39.89/11.17 | (8095) op(unit, e2) = all_0_61_61
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (280) follows:
% 39.89/11.17 | (8096) op(unit, e1) = all_0_62_62
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (221) follows:
% 39.89/11.17 | (8097) op(unit, e0) = all_0_63_63
% 39.89/11.17 |
% 39.89/11.17 | From (8085) and (227) follows:
% 39.89/11.17 | (8098) op(e3, unit) = all_0_15_15
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (115) follows:
% 39.89/11.17 | (8099) op(e3, unit) = all_0_21_21
% 39.89/11.17 |
% 39.89/11.17 | From (8085) and (252) follows:
% 39.89/11.17 | (8100) op(e2, unit) = all_0_31_31
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (207) follows:
% 39.89/11.17 | (8101) op(e2, unit) = all_0_37_37
% 39.89/11.17 |
% 39.89/11.17 | From (8085) and (31) follows:
% 39.89/11.17 | (8102) op(e1, unit) = all_0_47_47
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (36) follows:
% 39.89/11.17 | (8103) op(e1, unit) = all_0_53_53
% 39.89/11.17 |
% 39.89/11.17 | From (8085) and (111) follows:
% 39.89/11.17 | (8104) op(e0, unit) = all_0_63_63
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (190) follows:
% 39.89/11.17 | (8105) op(e0, unit) = all_0_69_69
% 39.89/11.17 |
% 39.89/11.17 | From (8086) and (72) follows:
% 39.89/11.17 | (8084) op(e0, e2) = unit
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e3, all_0_36_36, e3 and discharging atoms op(unit, e3) = all_0_36_36, op(unit, e3) = e3, yields:
% 39.89/11.17 | (8107) all_0_36_36 = e3
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e3, all_0_60_60, all_0_36_36 and discharging atoms op(unit, e3) = all_0_36_36, op(unit, e3) = all_0_60_60, yields:
% 39.89/11.17 | (8108) all_0_36_36 = all_0_60_60
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e2, all_0_61_61, all_0_37_37 and discharging atoms op(unit, e2) = all_0_37_37, op(unit, e2) = all_0_61_61, yields:
% 39.89/11.17 | (1186) all_0_37_37 = all_0_61_61
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e1, all_0_38_38, e1 and discharging atoms op(unit, e1) = all_0_38_38, op(unit, e1) = e1, yields:
% 39.89/11.17 | (4246) all_0_38_38 = e1
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e1, all_0_62_62, all_0_38_38 and discharging atoms op(unit, e1) = all_0_38_38, op(unit, e1) = all_0_62_62, yields:
% 39.89/11.17 | (4225) all_0_38_38 = all_0_62_62
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e0, all_0_39_39, e0 and discharging atoms op(unit, e0) = all_0_39_39, op(unit, e0) = e0, yields:
% 39.89/11.17 | (8112) all_0_39_39 = e0
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with unit, e0, all_0_63_63, all_0_39_39 and discharging atoms op(unit, e0) = all_0_39_39, op(unit, e0) = all_0_63_63, yields:
% 39.89/11.17 | (8113) all_0_39_39 = all_0_63_63
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e3, unit, all_0_15_15, e3 and discharging atoms op(e3, unit) = all_0_15_15, op(e3, unit) = e3, yields:
% 39.89/11.17 | (8114) all_0_15_15 = e3
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e3, unit, all_0_21_21, all_0_15_15 and discharging atoms op(e3, unit) = all_0_15_15, op(e3, unit) = all_0_21_21, yields:
% 39.89/11.17 | (6880) all_0_15_15 = all_0_21_21
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e2, unit, all_0_31_31, e2 and discharging atoms op(e2, unit) = all_0_31_31, op(e2, unit) = e2, yields:
% 39.89/11.17 | (8116) all_0_31_31 = e2
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e2, unit, all_0_37_37, all_0_31_31 and discharging atoms op(e2, unit) = all_0_31_31, op(e2, unit) = all_0_37_37, yields:
% 39.89/11.17 | (1190) all_0_31_31 = all_0_37_37
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e1, unit, all_0_47_47, e1 and discharging atoms op(e1, unit) = all_0_47_47, op(e1, unit) = e1, yields:
% 39.89/11.17 | (1589) all_0_47_47 = e1
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e1, unit, all_0_53_53, all_0_47_47 and discharging atoms op(e1, unit) = all_0_47_47, op(e1, unit) = all_0_53_53, yields:
% 39.89/11.17 | (1587) all_0_47_47 = all_0_53_53
% 39.89/11.17 |
% 39.89/11.17 | Instantiating formula (268) with e0, unit, all_0_69_69, all_0_63_63 and discharging atoms op(e0, unit) = all_0_63_63, op(e0, unit) = all_0_69_69, yields:
% 39.89/11.17 | (4771) all_0_63_63 = all_0_69_69
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (8114,6880) yields a new equation:
% 39.89/11.17 | (8121) all_0_21_21 = e3
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (1190,8116) yields a new equation:
% 39.89/11.17 | (8122) all_0_37_37 = e2
% 39.89/11.17 |
% 39.89/11.17 | Simplifying 8122 yields:
% 39.89/11.17 | (8123) all_0_37_37 = e2
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (8107,8108) yields a new equation:
% 39.89/11.17 | (8124) all_0_60_60 = e3
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (8123,1186) yields a new equation:
% 39.89/11.17 | (8125) all_0_61_61 = e2
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (4225,4246) yields a new equation:
% 39.89/11.17 | (8126) all_0_62_62 = e1
% 39.89/11.17 |
% 39.89/11.17 | Simplifying 8126 yields:
% 39.89/11.17 | (8127) all_0_62_62 = e1
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (8112,8113) yields a new equation:
% 39.89/11.17 | (8128) all_0_63_63 = e0
% 39.89/11.17 |
% 39.89/11.17 | Combining equations (1587,1589) yields a new equation:
% 39.89/11.17 | (8129) all_0_53_53 = e1
% 39.89/11.17 |
% 39.89/11.17 | Simplifying 8129 yields:
% 39.89/11.17 | (8130) all_0_53_53 = e1
% 39.89/11.17 |
% 39.89/11.18 | Combining equations (4771,8128) yields a new equation:
% 39.89/11.18 | (8131) all_0_69_69 = e0
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 8131 yields:
% 39.89/11.18 | (8132) all_0_69_69 = e0
% 39.89/11.18 |
% 39.89/11.18 | Combining equations (8128,8113) yields a new equation:
% 39.89/11.18 | (8112) all_0_39_39 = e0
% 39.89/11.18 |
% 39.89/11.18 | Combining equations (8125,1186) yields a new equation:
% 39.89/11.18 | (8123) all_0_37_37 = e2
% 39.89/11.18 |
% 39.89/11.18 | Combining equations (8124,8108) yields a new equation:
% 39.89/11.18 | (8107) all_0_36_36 = e3
% 39.89/11.18 |
% 39.89/11.18 | Combining equations (8121,6880) yields a new equation:
% 39.89/11.18 | (8114) all_0_15_15 = e3
% 39.89/11.18 |
% 39.89/11.18 | From (8114) and (121) follows:
% 39.89/11.18 | (8137) op(all_0_73_73, e0) = e3
% 39.89/11.18 |
% 39.89/11.18 | From (8121) and (77) follows:
% 39.89/11.18 | (8138) op(all_0_75_75, e2) = e3
% 39.89/11.18 |
% 39.89/11.18 | From (1589) and (107) follows:
% 39.89/11.18 | (8139) op(all_0_81_81, e0) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8130) and (195) follows:
% 39.89/11.18 | (8140) op(all_0_83_83, e2) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8132) and (255) follows:
% 39.89/11.18 | (8141) op(all_0_87_87, e2) = e0
% 39.89/11.18 |
% 39.89/11.18 | From (8125) and (8095) follows:
% 39.89/11.18 | (226) op(unit, e2) = e2
% 39.89/11.18 |
% 39.89/11.18 | From (8127) and (8096) follows:
% 39.89/11.18 | (101) op(unit, e1) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8128) and (8097) follows:
% 39.89/11.18 | (124) op(unit, e0) = e0
% 39.89/11.18 |
% 39.89/11.18 | From (8121) and (8099) follows:
% 39.89/11.18 | (113) op(e3, unit) = e3
% 39.89/11.18 |
% 39.89/11.18 | From (8107) and (65) follows:
% 39.89/11.18 | (8146) op(e2, all_0_84_84) = e3
% 39.89/11.18 |
% 39.89/11.18 | From (4246) and (232) follows:
% 39.89/11.18 | (8147) op(e2, all_0_86_86) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8112) and (103) follows:
% 39.89/11.18 | (8148) op(e2, all_0_87_87) = e0
% 39.89/11.18 |
% 39.89/11.18 | From (8123) and (8101) follows:
% 39.89/11.18 | (104) op(e2, unit) = e2
% 39.89/11.18 |
% 39.89/11.18 | From (8130) and (8103) follows:
% 39.89/11.18 | (39) op(e1, unit) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8124) and (210) follows:
% 39.89/11.18 | (8151) op(e0, all_0_76_76) = e3
% 39.89/11.18 |
% 39.89/11.18 | From (8125) and (220) follows:
% 39.89/11.18 | (8152) op(e0, all_0_77_77) = e2
% 39.89/11.18 |
% 39.89/11.18 | From (8127) and (228) follows:
% 39.89/11.18 | (8153) op(e0, all_0_78_78) = e1
% 39.89/11.18 |
% 39.89/11.18 | From (8132) and (8105) follows:
% 39.89/11.18 | (8) op(e0, unit) = e0
% 39.89/11.18 |
% 39.89/11.18 +-Applying beta-rule and splitting (166), into two cases.
% 39.89/11.18 |-Branch one:
% 39.89/11.18 | (302) ~ (all_0_6_6 = e3)
% 39.89/11.18 |
% 39.89/11.18 +-Applying beta-rule and splitting (239), into two cases.
% 39.89/11.18 |-Branch one:
% 39.89/11.18 | (303) all_0_6_6 = e3
% 39.89/11.18 |
% 39.89/11.18 | Equations (303) can reduce 302 to:
% 39.89/11.18 | (304) $false
% 39.89/11.18 |
% 39.89/11.18 |-The branch is then unsatisfiable
% 39.89/11.18 |-Branch two:
% 39.89/11.18 | (302) ~ (all_0_6_6 = e3)
% 39.89/11.18 | (306) all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0
% 39.89/11.18 |
% 39.89/11.18 +-Applying beta-rule and splitting (235), into two cases.
% 39.89/11.18 |-Branch one:
% 39.89/11.18 | (397) all_0_4_4 = e3
% 39.89/11.18 |
% 39.89/11.18 | From (397) and (289) follows:
% 39.89/11.18 | (398) op(e3, e3) = unit
% 39.89/11.18 |
% 39.89/11.18 +-Applying beta-rule and splitting (306), into two cases.
% 39.89/11.18 |-Branch one:
% 39.89/11.18 | (307) all_0_6_6 = e2
% 39.89/11.18 |
% 39.89/11.18 | Equations (307) can reduce 300 to:
% 39.89/11.18 | (304) $false
% 39.89/11.18 |
% 39.89/11.18 |-The branch is then unsatisfiable
% 39.89/11.18 |-Branch two:
% 39.89/11.18 | (300) ~ (all_0_6_6 = e2)
% 39.89/11.18 | (310) all_0_6_6 = e1 | all_0_6_6 = e0
% 39.89/11.18 |
% 39.89/11.18 +-Applying beta-rule and splitting (310), into two cases.
% 39.89/11.18 |-Branch one:
% 39.89/11.18 | (311) all_0_6_6 = e1
% 39.89/11.18 |
% 39.89/11.18 | From (311) and (114) follows:
% 39.89/11.18 | (316) op(e1, e1) = unit
% 39.89/11.18 |
% 39.89/11.18 | Instantiating formula (268) with e3, e3, unit, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = unit, yields:
% 39.89/11.18 | (399) all_0_72_72 = unit
% 39.89/11.18 |
% 39.89/11.18 | Instantiating formula (268) with e1, e1, unit, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = unit, yields:
% 39.89/11.18 | (317) all_0_82_82 = unit
% 39.89/11.18 |
% 39.89/11.18 | Equations (399) can reduce 17 to:
% 39.89/11.18 | (6538) ~ (all_0_73_73 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 6538 yields:
% 39.89/11.18 | (1725) ~ (all_0_73_73 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (399) can reduce 64 to:
% 39.89/11.18 | (518) ~ (all_0_75_75 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 518 yields:
% 39.89/11.18 | (519) ~ (all_0_75_75 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (399) can reduce 249 to:
% 39.89/11.18 | (6542) ~ (all_0_76_76 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 6542 yields:
% 39.89/11.18 | (1729) ~ (all_0_76_76 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (399) can reduce 132 to:
% 39.89/11.18 | (532) ~ (all_0_84_84 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 532 yields:
% 39.89/11.18 | (533) ~ (all_0_84_84 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (317) can reduce 6 to:
% 39.89/11.18 | (527) ~ (all_0_78_78 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (317) can reduce 276 to:
% 39.89/11.18 | (521) ~ (all_0_81_81 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (317) can reduce 214 to:
% 39.89/11.18 | (1727) ~ (all_0_83_83 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 1727 yields:
% 39.89/11.18 | (364) ~ (all_0_83_83 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Equations (317) can reduce 284 to:
% 39.89/11.18 | (1739) ~ (all_0_86_86 = unit)
% 39.89/11.18 |
% 39.89/11.18 | Simplifying 1739 yields:
% 39.89/11.18 | (365) ~ (all_0_86_86 = unit)
% 39.89/11.18 |
% 39.89/11.18 | From (399) and (4) follows:
% 39.89/11.18 | (4563) op(unit, e3) = all_0_8_8
% 39.89/11.18 |
% 39.89/11.18 | From (399) and (3) follows:
% 39.89/11.18 | (6551) op(unit, e2) = all_0_9_9
% 39.89/11.18 |
% 39.89/11.18 | From (399) and (128) follows:
% 39.89/11.19 | (4565) op(unit, e0) = all_0_11_11
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (76) follows:
% 39.89/11.19 | (318) op(unit, e3) = all_0_48_48
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (263) follows:
% 39.89/11.19 | (319) op(unit, e2) = all_0_49_49
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (216) follows:
% 39.89/11.19 | (320) op(unit, e1) = all_0_50_50
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (136) follows:
% 39.89/11.19 | (321) op(unit, e0) = all_0_51_51
% 39.89/11.19 |
% 39.89/11.19 | From (399) and (2) follows:
% 39.89/11.19 | (4570) op(e3, unit) = all_0_8_8
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (9) follows:
% 39.89/11.19 | (322) op(e3, unit) = all_0_18_18
% 39.89/11.19 |
% 39.89/11.19 | From (399) and (149) follows:
% 39.89/11.19 | (4572) op(e2, unit) = all_0_24_24
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (112) follows:
% 39.89/11.19 | (323) op(e2, unit) = all_0_34_34
% 39.89/11.19 |
% 39.89/11.19 | From (399) and (82) follows:
% 39.89/11.19 | (4574) op(e1, unit) = all_0_40_40
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (154) follows:
% 39.89/11.19 | (324) op(e1, unit) = all_0_50_50
% 39.89/11.19 |
% 39.89/11.19 | From (399) and (196) follows:
% 39.89/11.19 | (4576) op(e0, unit) = all_0_56_56
% 39.89/11.19 |
% 39.89/11.19 | From (317) and (7) follows:
% 39.89/11.19 | (326) op(e0, unit) = all_0_66_66
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with unit, e3, all_0_48_48, all_0_8_8 and discharging atoms op(unit, e3) = all_0_8_8, op(unit, e3) = all_0_48_48, yields:
% 39.89/11.19 | (8199) all_0_8_8 = all_0_48_48
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with unit, e2, all_0_9_9, e2 and discharging atoms op(unit, e2) = all_0_9_9, op(unit, e2) = e2, yields:
% 39.89/11.19 | (6566) all_0_9_9 = e2
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with unit, e2, all_0_49_49, all_0_9_9 and discharging atoms op(unit, e2) = all_0_9_9, op(unit, e2) = all_0_49_49, yields:
% 39.89/11.19 | (8201) all_0_9_9 = all_0_49_49
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with unit, e0, all_0_11_11, e0 and discharging atoms op(unit, e0) = all_0_11_11, op(unit, e0) = e0, yields:
% 39.89/11.19 | (4581) all_0_11_11 = e0
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with unit, e0, all_0_51_51, all_0_11_11 and discharging atoms op(unit, e0) = all_0_11_11, op(unit, e0) = all_0_51_51, yields:
% 39.89/11.19 | (8203) all_0_11_11 = all_0_51_51
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e3, unit, all_0_8_8, e3 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = e3, yields:
% 39.89/11.19 | (4583) all_0_8_8 = e3
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e3, unit, all_0_18_18, all_0_8_8 and discharging atoms op(e3, unit) = all_0_8_8, op(e3, unit) = all_0_18_18, yields:
% 39.89/11.19 | (8205) all_0_8_8 = all_0_18_18
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e2, unit, all_0_24_24, e2 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = e2, yields:
% 39.89/11.19 | (4585) all_0_24_24 = e2
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e2, unit, all_0_34_34, all_0_24_24 and discharging atoms op(e2, unit) = all_0_24_24, op(e2, unit) = all_0_34_34, yields:
% 39.89/11.19 | (8207) all_0_24_24 = all_0_34_34
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e1, unit, all_0_40_40, e1 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = e1, yields:
% 39.89/11.19 | (4587) all_0_40_40 = e1
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e1, unit, all_0_50_50, all_0_40_40 and discharging atoms op(e1, unit) = all_0_40_40, op(e1, unit) = all_0_50_50, yields:
% 39.89/11.19 | (8209) all_0_40_40 = all_0_50_50
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e0, unit, all_0_56_56, e0 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = e0, yields:
% 39.89/11.19 | (4589) all_0_56_56 = e0
% 39.89/11.19 |
% 39.89/11.19 | Instantiating formula (268) with e0, unit, all_0_66_66, all_0_56_56 and discharging atoms op(e0, unit) = all_0_56_56, op(e0, unit) = all_0_66_66, yields:
% 39.89/11.19 | (8211) all_0_56_56 = all_0_66_66
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (8199,8205) yields a new equation:
% 39.89/11.19 | (6878) all_0_18_18 = all_0_48_48
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (4583,8205) yields a new equation:
% 39.89/11.19 | (330) all_0_18_18 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (6566,8201) yields a new equation:
% 39.89/11.19 | (328) all_0_49_49 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (4581,8203) yields a new equation:
% 39.89/11.19 | (329) all_0_51_51 = e0
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (330,6878) yields a new equation:
% 39.89/11.19 | (327) all_0_48_48 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (4585,8207) yields a new equation:
% 39.89/11.19 | (331) all_0_34_34 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (4587,8209) yields a new equation:
% 39.89/11.19 | (332) all_0_50_50 = e1
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (4589,8211) yields a new equation:
% 39.89/11.19 | (333) all_0_66_66 = e0
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (327,6878) yields a new equation:
% 39.89/11.19 | (330) all_0_18_18 = e3
% 39.89/11.19 |
% 39.89/11.19 | From (327) and (318) follows:
% 39.89/11.19 | (256) op(unit, e3) = e3
% 39.89/11.19 |
% 39.89/11.19 | From (328) and (319) follows:
% 39.89/11.19 | (226) op(unit, e2) = e2
% 39.89/11.19 |
% 39.89/11.19 | From (332) and (320) follows:
% 39.89/11.19 | (101) op(unit, e1) = e1
% 39.89/11.19 |
% 39.89/11.19 | From (329) and (321) follows:
% 39.89/11.19 | (124) op(unit, e0) = e0
% 39.89/11.19 |
% 39.89/11.19 | From (330) and (322) follows:
% 39.89/11.19 | (113) op(e3, unit) = e3
% 39.89/11.19 |
% 39.89/11.19 | From (331) and (323) follows:
% 39.89/11.19 | (104) op(e2, unit) = e2
% 39.89/11.19 |
% 39.89/11.19 | From (332) and (324) follows:
% 39.89/11.19 | (39) op(e1, unit) = e1
% 39.89/11.19 |
% 39.89/11.19 | From (333) and (326) follows:
% 39.89/11.19 | (8) op(e0, unit) = e0
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (174), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (6597) ~ (all_0_3_3 = e3)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (175), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (8230) ~ (all_0_3_3 = e1)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (133), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (405) ~ (all_0_72_72 = e3)
% 39.89/11.19 |
% 39.89/11.19 | Equations (399) can reduce 405 to:
% 39.89/11.19 | (406) ~ (unit = e3)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (184), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (598) all_0_79_79 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (8085,598) yields a new equation:
% 39.89/11.19 | (408) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Simplifying 408 yields:
% 39.89/11.19 | (409) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Equations (409) can reduce 406 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (659) ~ (all_0_79_79 = e3)
% 39.89/11.19 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (8085) can reduce 659 to:
% 39.89/11.19 | (406) ~ (unit = e3)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (147), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (419) ~ (all_0_72_72 = e2)
% 39.89/11.19 |
% 39.89/11.19 | Equations (399) can reduce 419 to:
% 39.89/11.19 | (622) ~ (unit = e2)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (24), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (407) all_0_72_72 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (407,399) yields a new equation:
% 39.89/11.19 | (409) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Equations (409) can reduce 406 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (405) ~ (all_0_72_72 = e3)
% 39.89/11.19 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (399) can reduce 405 to:
% 39.89/11.19 | (406) ~ (unit = e3)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (119), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (409) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Equations (409) can reduce 406 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (406) ~ (unit = e3)
% 39.89/11.19 | (871) unit = e2 | unit = e1 | unit = e0
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (23), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (600) all_0_85_85 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (600,8086) yields a new equation:
% 39.89/11.19 | (409) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Equations (409) can reduce 406 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (1436) ~ (all_0_85_85 = e3)
% 39.89/11.19 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (8086) can reduce 1436 to:
% 39.89/11.19 | (406) ~ (unit = e3)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (241), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (448) all_0_82_82 = e3
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (317,448) yields a new equation:
% 39.89/11.19 | (408) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Simplifying 408 yields:
% 39.89/11.19 | (409) unit = e3
% 39.89/11.19 |
% 39.89/11.19 | Equations (409) can reduce 406 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (454) ~ (all_0_82_82 = e3)
% 39.89/11.19 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (188), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (401) ~ (all_0_72_72 = e0)
% 39.89/11.19 |
% 39.89/11.19 | Equations (399) can reduce 401 to:
% 39.89/11.19 | (402) ~ (unit = e0)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (853), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (417) all_0_82_82 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (317,417) yields a new equation:
% 39.89/11.19 | (414) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Simplifying 414 yields:
% 39.89/11.19 | (415) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Equations (415) can reduce 622 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (427) ~ (all_0_82_82 = e2)
% 39.89/11.19 | (866) all_0_82_82 = e1 | all_0_82_82 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (317) can reduce 427 to:
% 39.89/11.19 | (622) ~ (unit = e2)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (735), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (687) all_0_79_79 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (8085,687) yields a new equation:
% 39.89/11.19 | (414) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Simplifying 414 yields:
% 39.89/11.19 | (415) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Equations (415) can reduce 622 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (730) ~ (all_0_79_79 = e2)
% 39.89/11.19 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (8085) can reduce 730 to:
% 39.89/11.19 | (622) ~ (unit = e2)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (1546), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (1558) all_0_85_85 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (1558,8086) yields a new equation:
% 39.89/11.19 | (415) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Equations (415) can reduce 622 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (1498) ~ (all_0_85_85 = e2)
% 39.89/11.19 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 39.89/11.19 |
% 39.89/11.19 | Equations (8086) can reduce 1498 to:
% 39.89/11.19 | (622) ~ (unit = e2)
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (871), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (415) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Equations (415) can reduce 622 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (622) ~ (unit = e2)
% 39.89/11.19 | (1271) unit = e1 | unit = e0
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (412), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (413) all_0_72_72 = e2
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (413,399) yields a new equation:
% 39.89/11.19 | (415) unit = e2
% 39.89/11.19 |
% 39.89/11.19 | Equations (415) can reduce 622 to:
% 39.89/11.19 | (304) $false
% 39.89/11.19 |
% 39.89/11.19 |-The branch is then unsatisfiable
% 39.89/11.19 |-Branch two:
% 39.89/11.19 | (419) ~ (all_0_72_72 = e2)
% 39.89/11.19 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 39.89/11.19 |
% 39.89/11.19 +-Applying beta-rule and splitting (433), into two cases.
% 39.89/11.19 |-Branch one:
% 39.89/11.19 | (434) all_0_72_72 = e1
% 39.89/11.19 |
% 39.89/11.19 | Combining equations (434,399) yields a new equation:
% 39.89/11.19 | (436) unit = e1
% 39.89/11.19 |
% 39.89/11.19 | Equations (436) can reduce 1725 to:
% 39.89/11.19 | (894) ~ (all_0_73_73 = e1)
% 39.89/11.19 |
% 39.89/11.19 | Equations (436) can reduce 519 to:
% 39.89/11.19 | (728) ~ (all_0_75_75 = e1)
% 39.89/11.19 |
% 39.89/11.19 | Equations (436) can reduce 1729 to:
% 39.89/11.19 | (797) ~ (all_0_76_76 = e1)
% 39.89/11.19 |
% 39.89/11.19 | Equations (436) can reduce 525 to:
% 39.89/11.19 | (466) ~ (all_0_77_77 = e1)
% 39.89/11.19 |
% 39.89/11.19 | Equations (436) can reduce 533 to:
% 39.89/11.19 | (1675) ~ (all_0_84_84 = e1)
% 39.89/11.19 |
% 39.89/11.20 | Equations (436) can reduce 1742 to:
% 39.89/11.20 | (473) ~ (all_0_87_87 = e1)
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (256) follows:
% 39.89/11.20 | (1009) op(e1, e3) = e3
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (226) follows:
% 39.89/11.20 | (7001) op(e1, e2) = e2
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (124) follows:
% 39.89/11.20 | (8305) op(e1, e0) = e0
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (113) follows:
% 39.89/11.20 | (8306) op(e3, e1) = e3
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (104) follows:
% 39.89/11.20 | (2959) op(e2, e1) = e2
% 39.89/11.20 |
% 39.89/11.20 | From (436) and (8) follows:
% 39.89/11.20 | (4871) op(e0, e1) = e0
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e3, e1, e3, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e3, yields:
% 39.89/11.20 | (691) all_0_74_74 = e3
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e2, e1, e2, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e2, yields:
% 39.89/11.20 | (703) all_0_78_78 = e2
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e1, e3, e3, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e3, yields:
% 39.89/11.20 | (1015) all_0_80_80 = e3
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e1, e2, e2, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e2, yields:
% 39.89/11.20 | (1155) all_0_81_81 = e2
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e1, e0, e0, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e0, yields:
% 39.89/11.20 | (1136) all_0_83_83 = e0
% 39.89/11.20 |
% 39.89/11.20 | Instantiating formula (268) with e0, e1, e0, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e0, yields:
% 39.89/11.20 | (1146) all_0_86_86 = e0
% 39.89/11.20 |
% 39.89/11.20 | Equations (691) can reduce 199 to:
% 39.89/11.20 | (882) ~ (all_0_73_73 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Equations (1155) can reduce 185 to:
% 39.89/11.20 | (888) ~ (all_0_73_73 = e2)
% 39.89/11.20 |
% 39.89/11.20 | Equations (691) can reduce 140 to:
% 39.89/11.20 | (4904) ~ (all_0_75_75 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Simplifying 4904 yields:
% 39.89/11.20 | (718) ~ (all_0_75_75 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Equations (703) can reduce 204 to:
% 39.89/11.20 | (765) ~ (all_0_76_76 = e2)
% 39.89/11.20 |
% 39.89/11.20 | Equations (1015) can reduce 173 to:
% 39.89/11.20 | (677) ~ (all_0_76_76 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Equations (1155) can reduce 126 to:
% 39.89/11.20 | (423) ~ (all_0_77_77 = e2)
% 39.89/11.20 |
% 39.89/11.20 | Equations (1015) can reduce 279 to:
% 39.89/11.20 | (4909) ~ (all_0_84_84 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Simplifying 4909 yields:
% 39.89/11.20 | (1059) ~ (all_0_84_84 = e3)
% 39.89/11.20 |
% 39.89/11.20 | Equations (1146) can reduce 234 to:
% 39.89/11.20 | (4646) ~ (all_0_87_87 = e0)
% 39.89/11.20 |
% 39.89/11.20 | Simplifying 4646 yields:
% 39.89/11.20 | (489) ~ (all_0_87_87 = e0)
% 39.89/11.20 |
% 39.89/11.20 | From (1015) and (283) follows:
% 39.89/11.20 | (8326) op(e3, e2) = all_0_41_41
% 39.89/11.20 |
% 39.89/11.20 | From (1136) and (155) follows:
% 39.89/11.20 | (8327) op(e0, e1) = all_0_54_54
% 39.89/11.20 |
% 39.89/11.20 | From (1015) and (159) follows:
% 39.89/11.20 | (721) op(e3, e3) = all_0_16_16
% 39.89/11.20 |
% 39.89/11.20 | From (1155) and (206) follows:
% 39.89/11.20 | (8329) op(e3, e2) = all_0_17_17
% 39.89/11.20 |
% 39.89/11.20 | From (691) and (285) follows:
% 39.89/11.20 | (8330) op(e2, e3) = all_0_26_26
% 39.89/11.20 |
% 39.89/11.20 | From (1015) and (109) follows:
% 39.89/11.20 | (8331) op(e2, e3) = all_0_32_32
% 39.89/11.20 |
% 39.89/11.20 | From (1136) and (157) follows:
% 39.89/11.20 | (4200) op(e2, e0) = all_0_35_35
% 39.89/11.20 |
% 39.89/11.20 | From (1136) and (84) follows:
% 39.89/11.20 | (8305) op(e1, e0) = e0
% 39.89/11.20 |
% 39.89/11.20 | From (703) and (8153) follows:
% 39.89/11.20 | (6263) op(e0, e2) = e1
% 40.05/11.20 |
% 40.05/11.20 | From (1155) and (164) follows:
% 40.05/11.20 | (1148) op(e0, e2) = all_0_65_65
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (71), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (878) all_0_73_73 = e3
% 40.05/11.20 |
% 40.05/11.20 | Equations (878) can reduce 882 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (882) ~ (all_0_73_73 = e3)
% 40.05/11.20 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (19), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (673) all_0_76_76 = e3
% 40.05/11.20 |
% 40.05/11.20 | Equations (673) can reduce 677 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (677) ~ (all_0_76_76 = e3)
% 40.05/11.20 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (883), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (884) all_0_73_73 = e2
% 40.05/11.20 |
% 40.05/11.20 | Equations (884) can reduce 888 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (888) ~ (all_0_73_73 = e2)
% 40.05/11.20 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (678), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (761) all_0_76_76 = e2
% 40.05/11.20 |
% 40.05/11.20 | Equations (761) can reduce 765 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (765) ~ (all_0_76_76 = e2)
% 40.05/11.20 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (889), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (890) all_0_73_73 = e1
% 40.05/11.20 |
% 40.05/11.20 | Equations (890) can reduce 894 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (894) ~ (all_0_73_73 = e1)
% 40.05/11.20 | (895) all_0_73_73 = e0
% 40.05/11.20 |
% 40.05/11.20 | Equations (895) can reduce 106 to:
% 40.05/11.20 | (1029) ~ (all_0_75_75 = e0)
% 40.05/11.20 |
% 40.05/11.20 | Simplifying 1029 yields:
% 40.05/11.20 | (1030) ~ (all_0_75_75 = e0)
% 40.05/11.20 |
% 40.05/11.20 | From (895) and (254) follows:
% 40.05/11.20 | (8358) op(e0, e2) = all_0_13_13
% 40.05/11.20 |
% 40.05/11.20 | From (895) and (92) follows:
% 40.05/11.20 | (8359) op(e0, e1) = all_0_14_14
% 40.05/11.20 |
% 40.05/11.20 | From (895) and (63) follows:
% 40.05/11.20 | (8360) op(e1, e0) = all_0_41_41
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (94), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (449) all_0_77_77 = e3
% 40.05/11.20 |
% 40.05/11.20 | From (449) and (45) follows:
% 40.05/11.20 | (8362) op(e3, e3) = all_0_28_28
% 40.05/11.20 |
% 40.05/11.20 | From (449) and (247) follows:
% 40.05/11.20 | (8363) op(e3, e2) = all_0_29_29
% 40.05/11.20 |
% 40.05/11.20 | From (449) and (108) follows:
% 40.05/11.20 | (6855) op(e3, e3) = all_0_13_13
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (74), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (679) all_0_75_75 = e3
% 40.05/11.20 |
% 40.05/11.20 | Equations (679) can reduce 718 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (718) ~ (all_0_75_75 = e3)
% 40.05/11.20 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (766), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (781) all_0_76_76 = e1
% 40.05/11.20 |
% 40.05/11.20 | Equations (781) can reduce 797 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (797) ~ (all_0_76_76 = e1)
% 40.05/11.20 | (798) all_0_76_76 = e0
% 40.05/11.20 |
% 40.05/11.20 | Equations (798) can reduce 202 to:
% 40.05/11.20 | (3539) ~ (all_0_84_84 = e0)
% 40.05/11.20 |
% 40.05/11.20 | Simplifying 3539 yields:
% 40.05/11.20 | (1055) ~ (all_0_84_84 = e0)
% 40.05/11.20 |
% 40.05/11.20 | From (798) and (68) follows:
% 40.05/11.20 | (8375) op(e0, e2) = all_0_25_25
% 40.05/11.20 |
% 40.05/11.20 | From (798) and (192) follows:
% 40.05/11.20 | (8376) op(e0, e1) = all_0_26_26
% 40.05/11.20 |
% 40.05/11.20 | From (798) and (145) follows:
% 40.05/11.20 | (8377) op(e1, e0) = all_0_44_44
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (240), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (1073) all_0_84_84 = e3
% 40.05/11.20 |
% 40.05/11.20 | Equations (1073) can reduce 1059 to:
% 40.05/11.20 | (304) $false
% 40.05/11.20 |
% 40.05/11.20 |-The branch is then unsatisfiable
% 40.05/11.20 |-Branch two:
% 40.05/11.20 | (1059) ~ (all_0_84_84 = e3)
% 40.05/11.20 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.05/11.20 |
% 40.05/11.20 +-Applying beta-rule and splitting (719), into two cases.
% 40.05/11.20 |-Branch one:
% 40.05/11.20 | (736) all_0_75_75 = e2
% 40.05/11.20 |
% 40.05/11.20 | From (736) and (15) follows:
% 40.05/11.20 | (8383) op(e2, e3) = all_0_20_20
% 40.05/11.20 |
% 40.05/11.20 | From (736) and (163) follows:
% 40.05/11.20 | (8384) op(e2, e0) = all_0_23_23
% 40.05/11.20 |
% 40.05/11.20 | From (736) and (282) follows:
% 40.05/11.21 | (8385) op(e0, e2) = all_0_59_59
% 40.05/11.21 |
% 40.05/11.21 +-Applying beta-rule and splitting (34), into two cases.
% 40.05/11.21 |-Branch one:
% 40.05/11.21 | (447) all_0_87_87 = e3
% 40.05/11.21 |
% 40.05/11.21 | From (447) and (59) follows:
% 40.05/11.21 | (8387) op(e3, e3) = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | From (447) and (158) follows:
% 40.05/11.21 | (4947) op(e3, e3) = all_0_23_23
% 40.05/11.21 |
% 40.05/11.21 +-Applying beta-rule and splitting (1661), into two cases.
% 40.05/11.21 |-Branch one:
% 40.05/11.21 | (618) all_0_84_84 = e2
% 40.05/11.21 |
% 40.05/11.21 | From (618) and (49) follows:
% 40.05/11.21 | (8390) op(e2, e0) = all_0_59_59
% 40.05/11.21 |
% 40.05/11.21 | From (618) and (95) follows:
% 40.05/11.21 | (8391) op(e3, e2) = all_0_20_20
% 40.05/11.21 |
% 40.05/11.21 | From (618) and (290) follows:
% 40.05/11.21 | (8392) op(e0, e2) = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e3, all_0_16_16, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_16_16, yields:
% 40.05/11.21 | (3207) all_0_13_13 = all_0_16_16
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e3, all_0_23_23, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_23_23, yields:
% 40.05/11.21 | (3197) all_0_13_13 = all_0_23_23
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e3, all_0_28_28, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_28_28, yields:
% 40.05/11.21 | (4591) all_0_13_13 = all_0_28_28
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e3, all_0_68_68, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_68_68, yields:
% 40.05/11.21 | (8396) all_0_16_16 = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e2, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_20_20, yields:
% 40.05/11.21 | (4747) all_0_17_17 = all_0_20_20
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e2, all_0_29_29, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_29_29, yields:
% 40.05/11.21 | (3184) all_0_17_17 = all_0_29_29
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e3, e2, all_0_41_41, all_0_20_20 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = all_0_41_41, yields:
% 40.05/11.21 | (4996) all_0_20_20 = all_0_41_41
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e2, e3, all_0_26_26, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_26_26, yields:
% 40.05/11.21 | (8400) all_0_20_20 = all_0_26_26
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e2, e3, all_0_32_32, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_32_32, yields:
% 40.05/11.21 | (8401) all_0_20_20 = all_0_32_32
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e2, e0, all_0_35_35, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_35_35, yields:
% 40.05/11.21 | (8402) all_0_23_23 = all_0_35_35
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e2, e0, all_0_59_59, all_0_35_35 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_59_59, yields:
% 40.05/11.21 | (1603) all_0_35_35 = all_0_59_59
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e1, e0, all_0_44_44, e0 and discharging atoms op(e1, e0) = all_0_44_44, op(e1, e0) = e0, yields:
% 40.05/11.21 | (4751) all_0_44_44 = e0
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e1, e0, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e0) = all_0_41_41, op(e1, e0) = all_0_44_44, yields:
% 40.05/11.21 | (4760) all_0_41_41 = all_0_44_44
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e0, e2, all_0_25_25, all_0_13_13 and discharging atoms op(e0, e2) = all_0_13_13, op(e0, e2) = all_0_25_25, yields:
% 40.05/11.21 | (549) all_0_13_13 = all_0_25_25
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e0, e2, all_0_65_65, e1 and discharging atoms op(e0, e2) = all_0_65_65, op(e0, e2) = e1, yields:
% 40.05/11.21 | (8407) all_0_65_65 = e1
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e0, e2, all_0_65_65, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = all_0_65_65, yields:
% 40.05/11.21 | (8408) all_0_59_59 = all_0_65_65
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e0, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_26_26, yields:
% 40.05/11.21 | (551) all_0_14_14 = all_0_26_26
% 40.05/11.21 |
% 40.05/11.21 | Instantiating formula (268) with e0, e1, all_0_54_54, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_54_54, yields:
% 40.05/11.21 | (8410) all_0_14_14 = all_0_54_54
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (3207,3197) yields a new equation:
% 40.05/11.21 | (8411) all_0_16_16 = all_0_23_23
% 40.05/11.21 |
% 40.05/11.21 | Simplifying 8411 yields:
% 40.05/11.21 | (3209) all_0_16_16 = all_0_23_23
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (4591,3197) yields a new equation:
% 40.05/11.21 | (8413) all_0_23_23 = all_0_28_28
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (549,3197) yields a new equation:
% 40.05/11.21 | (8414) all_0_23_23 = all_0_25_25
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (551,8410) yields a new equation:
% 40.05/11.21 | (8415) all_0_26_26 = all_0_54_54
% 40.05/11.21 |
% 40.05/11.21 | Simplifying 8415 yields:
% 40.05/11.21 | (8416) all_0_26_26 = all_0_54_54
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (3209,8396) yields a new equation:
% 40.05/11.21 | (8417) all_0_23_23 = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | Simplifying 8417 yields:
% 40.05/11.21 | (6578) all_0_23_23 = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (4747,3184) yields a new equation:
% 40.05/11.21 | (8419) all_0_20_20 = all_0_29_29
% 40.05/11.21 |
% 40.05/11.21 | Simplifying 8419 yields:
% 40.05/11.21 | (8420) all_0_20_20 = all_0_29_29
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (8401,8420) yields a new equation:
% 40.05/11.21 | (3200) all_0_29_29 = all_0_32_32
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (8400,8420) yields a new equation:
% 40.05/11.21 | (8422) all_0_26_26 = all_0_29_29
% 40.05/11.21 |
% 40.05/11.21 | Simplifying 8422 yields:
% 40.05/11.21 | (8423) all_0_26_26 = all_0_29_29
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (4996,8420) yields a new equation:
% 40.05/11.21 | (3213) all_0_29_29 = all_0_41_41
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (8402,8414) yields a new equation:
% 40.05/11.21 | (4226) all_0_25_25 = all_0_35_35
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (8413,8414) yields a new equation:
% 40.05/11.21 | (5982) all_0_25_25 = all_0_28_28
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (6578,8414) yields a new equation:
% 40.05/11.21 | (8427) all_0_25_25 = all_0_68_68
% 40.05/11.21 |
% 40.05/11.21 | Combining equations (4226,5982) yields a new equation:
% 40.05/11.22 | (8428) all_0_28_28 = all_0_35_35
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8427,5982) yields a new equation:
% 40.05/11.22 | (3183) all_0_28_28 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8423,8416) yields a new equation:
% 40.05/11.22 | (8430) all_0_29_29 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8430 yields:
% 40.05/11.22 | (8431) all_0_29_29 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8428,3183) yields a new equation:
% 40.05/11.22 | (8432) all_0_35_35 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8432 yields:
% 40.05/11.22 | (8433) all_0_35_35 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (3213,3200) yields a new equation:
% 40.05/11.22 | (3226) all_0_32_32 = all_0_41_41
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8431,3200) yields a new equation:
% 40.05/11.22 | (8435) all_0_32_32 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (3226,8435) yields a new equation:
% 40.05/11.22 | (8436) all_0_41_41 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8436 yields:
% 40.05/11.22 | (8437) all_0_41_41 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8433,1603) yields a new equation:
% 40.05/11.22 | (7786) all_0_59_59 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (4760,8437) yields a new equation:
% 40.05/11.22 | (8439) all_0_44_44 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8439 yields:
% 40.05/11.22 | (8440) all_0_44_44 = all_0_54_54
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8440,4751) yields a new equation:
% 40.05/11.22 | (8441) all_0_54_54 = e0
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8441 yields:
% 40.05/11.22 | (2226) all_0_54_54 = e0
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8408,7786) yields a new equation:
% 40.05/11.22 | (8443) all_0_65_65 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8443 yields:
% 40.05/11.22 | (8444) all_0_65_65 = all_0_68_68
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8407,8444) yields a new equation:
% 40.05/11.22 | (8445) all_0_68_68 = e1
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (2226,8435) yields a new equation:
% 40.05/11.22 | (8446) all_0_32_32 = e0
% 40.05/11.22 |
% 40.05/11.22 | Combining equations (8446,3200) yields a new equation:
% 40.05/11.22 | (1193) all_0_29_29 = e0
% 40.05/11.22 |
% 40.05/11.22 | From (1193) and (287) follows:
% 40.05/11.22 | (8448) op(e0, e2) = all_0_3_3
% 40.05/11.22 |
% 40.05/11.22 | From (8445) and (8392) follows:
% 40.05/11.22 | (6263) op(e0, e2) = e1
% 40.05/11.22 |
% 40.05/11.22 | Instantiating formula (268) with e0, e2, all_0_3_3, e1 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e1, yields:
% 40.05/11.22 | (8450) all_0_3_3 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (8450) can reduce 8230 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (1050) ~ (all_0_84_84 = e2)
% 40.05/11.22 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (1673), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (1085) all_0_84_84 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (1085) can reduce 1675 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (1675) ~ (all_0_84_84 = e1)
% 40.05/11.22 | (1280) all_0_84_84 = e0
% 40.05/11.22 |
% 40.05/11.22 | Equations (1280) can reduce 1055 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (457) ~ (all_0_87_87 = e3)
% 40.05/11.22 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (1661), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (618) all_0_84_84 = e2
% 40.05/11.22 |
% 40.05/11.22 | Equations (618) can reduce 191 to:
% 40.05/11.22 | (2525) ~ (all_0_87_87 = e2)
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 2525 yields:
% 40.05/11.22 | (430) ~ (all_0_87_87 = e2)
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (627), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (416) all_0_87_87 = e2
% 40.05/11.22 |
% 40.05/11.22 | Equations (416) can reduce 430 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (430) ~ (all_0_87_87 = e2)
% 40.05/11.22 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (632), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (463) all_0_87_87 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (463) can reduce 473 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (473) ~ (all_0_87_87 = e1)
% 40.05/11.22 | (479) all_0_87_87 = e0
% 40.05/11.22 |
% 40.05/11.22 | Equations (479) can reduce 489 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (1050) ~ (all_0_84_84 = e2)
% 40.05/11.22 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (1673), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (1085) all_0_84_84 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (1085) can reduce 1675 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (1675) ~ (all_0_84_84 = e1)
% 40.05/11.22 | (1280) all_0_84_84 = e0
% 40.05/11.22 |
% 40.05/11.22 | Equations (1280) can reduce 1055 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (645) ~ (all_0_75_75 = e2)
% 40.05/11.22 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (739), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (740) all_0_75_75 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (740) can reduce 728 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (728) ~ (all_0_75_75 = e1)
% 40.05/11.22 | (743) all_0_75_75 = e0
% 40.05/11.22 |
% 40.05/11.22 | Equations (743) can reduce 1030 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (450) ~ (all_0_77_77 = e3)
% 40.05/11.22 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (1169), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (418) all_0_77_77 = e2
% 40.05/11.22 |
% 40.05/11.22 | Equations (418) can reduce 423 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (423) ~ (all_0_77_77 = e2)
% 40.05/11.22 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.05/11.22 |
% 40.05/11.22 +-Applying beta-rule and splitting (766), into two cases.
% 40.05/11.22 |-Branch one:
% 40.05/11.22 | (781) all_0_76_76 = e1
% 40.05/11.22 |
% 40.05/11.22 | Equations (781) can reduce 797 to:
% 40.05/11.22 | (304) $false
% 40.05/11.22 |
% 40.05/11.22 |-The branch is then unsatisfiable
% 40.05/11.22 |-Branch two:
% 40.05/11.22 | (797) ~ (all_0_76_76 = e1)
% 40.05/11.22 | (798) all_0_76_76 = e0
% 40.05/11.22 |
% 40.05/11.22 | Equations (798) can reduce 96 to:
% 40.05/11.22 | (8497) ~ (all_0_77_77 = e0)
% 40.05/11.22 |
% 40.05/11.22 | Simplifying 8497 yields:
% 40.05/11.22 | (482) ~ (all_0_77_77 = e0)
% 40.05/11.22 |
% 40.05/11.23 +-Applying beta-rule and splitting (1176), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (465) all_0_77_77 = e1
% 40.05/11.23 |
% 40.05/11.23 | Equations (465) can reduce 466 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (466) ~ (all_0_77_77 = e1)
% 40.05/11.23 | (481) all_0_77_77 = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (481) can reduce 482 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (403) ~ (all_0_72_72 = e1)
% 40.05/11.23 | (439) all_0_72_72 = e0
% 40.05/11.23 |
% 40.05/11.23 | Combining equations (439,399) yields a new equation:
% 40.05/11.23 | (441) unit = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (441) can reduce 402 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (439) all_0_72_72 = e0
% 40.05/11.23 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.05/11.23 |
% 40.05/11.23 | Combining equations (439,399) yields a new equation:
% 40.05/11.23 | (441) unit = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (441) can reduce 622 to:
% 40.05/11.23 | (8080) ~ (e2 = e0)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 8080 yields:
% 40.05/11.23 | (248) ~ (e2 = e0)
% 40.05/11.23 |
% 40.05/11.23 | From (441) and (226) follows:
% 40.05/11.23 | (4183) op(e0, e2) = e2
% 40.05/11.23 |
% 40.05/11.23 | From (441) and (8084) follows:
% 40.05/11.23 | (1108) op(e0, e2) = e0
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.05/11.23 | (1221) e2 = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (1221) can reduce 248 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (413) all_0_72_72 = e2
% 40.05/11.23 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Combining equations (413,399) yields a new equation:
% 40.05/11.23 | (415) unit = e2
% 40.05/11.23 |
% 40.05/11.23 | From (415) and (8) follows:
% 40.05/11.23 | (1108) op(e0, e2) = e0
% 40.05/11.23 |
% 40.05/11.23 | From (415) and (8084) follows:
% 40.05/11.23 | (4183) op(e0, e2) = e2
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.05/11.23 | (1221) e2 = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (1221) can reduce 248 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (407) all_0_72_72 = e3
% 40.05/11.23 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Combining equations (407,399) yields a new equation:
% 40.05/11.23 | (409) unit = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 525 to:
% 40.05/11.23 | (450) ~ (all_0_77_77 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 527 to:
% 40.05/11.23 | (657) ~ (all_0_78_78 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 521 to:
% 40.05/11.23 | (1120) ~ (all_0_81_81 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 364 to:
% 40.05/11.23 | (1058) ~ (all_0_83_83 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 365 to:
% 40.05/11.23 | (1061) ~ (all_0_86_86 = e3)
% 40.05/11.23 |
% 40.05/11.23 | Equations (409) can reduce 1742 to:
% 40.05/11.23 | (457) ~ (all_0_87_87 = e3)
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (226) follows:
% 40.05/11.23 | (4622) op(e3, e2) = e2
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (101) follows:
% 40.05/11.23 | (4623) op(e3, e1) = e1
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (124) follows:
% 40.05/11.23 | (4624) op(e3, e0) = e0
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (104) follows:
% 40.05/11.23 | (2376) op(e2, e3) = e2
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (39) follows:
% 40.05/11.23 | (1010) op(e1, e3) = e1
% 40.05/11.23 |
% 40.05/11.23 | From (409) and (8) follows:
% 40.05/11.23 | (1357) op(e0, e3) = e0
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 40.05/11.23 | (884) all_0_73_73 = e2
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 40.05/11.23 | (707) all_0_74_74 = e1
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 40.05/11.23 | (743) all_0_75_75 = e0
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 40.05/11.23 | (761) all_0_76_76 = e2
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 40.05/11.23 | (1013) all_0_80_80 = e1
% 40.05/11.23 |
% 40.05/11.23 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 40.05/11.23 | (1280) all_0_84_84 = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (884) can reduce 185 to:
% 40.05/11.23 | (2453) ~ (all_0_81_81 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 2453 yields:
% 40.05/11.23 | (1104) ~ (all_0_81_81 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Equations (707) can reduce 38 to:
% 40.05/11.23 | (708) ~ (all_0_78_78 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 708 yields:
% 40.05/11.23 | (709) ~ (all_0_78_78 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Equations (761) can reduce 96 to:
% 40.05/11.23 | (6627) ~ (all_0_77_77 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 6627 yields:
% 40.05/11.23 | (423) ~ (all_0_77_77 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Equations (761) can reduce 204 to:
% 40.05/11.23 | (3440) ~ (all_0_78_78 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 3440 yields:
% 40.05/11.23 | (689) ~ (all_0_78_78 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Equations (1013) can reduce 242 to:
% 40.05/11.23 | (2864) ~ (all_0_81_81 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 2864 yields:
% 40.05/11.23 | (1227) ~ (all_0_81_81 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Equations (1013) can reduce 217 to:
% 40.05/11.23 | (1915) ~ (all_0_83_83 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 1915 yields:
% 40.05/11.23 | (1088) ~ (all_0_83_83 = e1)
% 40.05/11.23 |
% 40.05/11.23 | Equations (1280) can reduce 191 to:
% 40.05/11.23 | (4646) ~ (all_0_87_87 = e0)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 4646 yields:
% 40.05/11.23 | (489) ~ (all_0_87_87 = e0)
% 40.05/11.23 |
% 40.05/11.23 | From (884) and (92) follows:
% 40.05/11.23 | (8559) op(e2, e1) = all_0_14_14
% 40.05/11.23 |
% 40.05/11.23 | From (743) and (15) follows:
% 40.05/11.23 | (8560) op(e0, e3) = all_0_20_20
% 40.05/11.23 |
% 40.05/11.23 | From (1280) and (95) follows:
% 40.05/11.23 | (4649) op(e3, e0) = all_0_20_20
% 40.05/11.23 |
% 40.05/11.23 | From (707) and (285) follows:
% 40.05/11.23 | (4651) op(e2, e1) = all_0_26_26
% 40.05/11.23 |
% 40.05/11.23 | From (743) and (53) follows:
% 40.05/11.23 | (6639) op(e2, e0) = all_0_27_27
% 40.05/11.23 |
% 40.05/11.23 | From (1013) and (109) follows:
% 40.05/11.23 | (4652) op(e2, e1) = all_0_32_32
% 40.05/11.23 |
% 40.05/11.23 | From (884) and (63) follows:
% 40.05/11.23 | (4653) op(e1, e2) = all_0_41_41
% 40.05/11.23 |
% 40.05/11.23 | From (707) and (98) follows:
% 40.05/11.23 | (8566) op(e1, e1) = all_0_42_42
% 40.05/11.23 |
% 40.05/11.23 | From (761) and (145) follows:
% 40.05/11.23 | (4654) op(e1, e2) = all_0_44_44
% 40.05/11.23 |
% 40.05/11.23 | From (884) and (56) follows:
% 40.05/11.23 | (6644) op(e0, e2) = all_0_57_57
% 40.05/11.23 |
% 40.05/11.23 | From (761) and (8151) follows:
% 40.05/11.23 | (592) op(e0, e2) = e3
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (176), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (825) all_0_81_81 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (825) can reduce 1120 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (1120) ~ (all_0_81_81 = e3)
% 40.05/11.23 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (50), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (695) all_0_78_78 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (695) can reduce 657 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (657) ~ (all_0_78_78 = e3)
% 40.05/11.23 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (151), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (1110) all_0_83_83 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (1110) can reduce 1058 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (1058) ~ (all_0_83_83 = e3)
% 40.05/11.23 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (1142), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (1155) all_0_81_81 = e2
% 40.05/11.23 |
% 40.05/11.23 | Equations (1155) can reduce 1104 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (1104) ~ (all_0_81_81 = e2)
% 40.05/11.23 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (1158), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (1163) all_0_81_81 = e1
% 40.05/11.23 |
% 40.05/11.23 | Equations (1163) can reduce 1227 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (1227) ~ (all_0_81_81 = e1)
% 40.05/11.23 | (1228) all_0_81_81 = e0
% 40.05/11.23 |
% 40.05/11.23 | Equations (1228) can reduce 126 to:
% 40.05/11.23 | (482) ~ (all_0_77_77 = e0)
% 40.05/11.23 |
% 40.05/11.23 | Equations (1228) can reduce 189 to:
% 40.05/11.23 | (1469) ~ (all_0_83_83 = e0)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 1469 yields:
% 40.05/11.23 | (1470) ~ (all_0_83_83 = e0)
% 40.05/11.23 |
% 40.05/11.23 | From (1228) and (127) follows:
% 40.05/11.23 | (4683) op(e0, e3) = all_0_44_44
% 40.05/11.23 |
% 40.05/11.23 | From (1228) and (288) follows:
% 40.05/11.23 | (8594) op(e2, e0) = all_0_33_33
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (1113), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (1125) all_0_83_83 = e2
% 40.05/11.23 |
% 40.05/11.23 | Equations (1125) can reduce 182 to:
% 40.05/11.23 | (2525) ~ (all_0_87_87 = e2)
% 40.05/11.23 |
% 40.05/11.23 | Simplifying 2525 yields:
% 40.05/11.23 | (430) ~ (all_0_87_87 = e2)
% 40.05/11.23 |
% 40.05/11.23 | From (1125) and (155) follows:
% 40.05/11.23 | (8598) op(e2, e1) = all_0_54_54
% 40.05/11.23 |
% 40.05/11.23 | From (1125) and (177) follows:
% 40.05/11.23 | (8599) op(e2, e0) = all_0_55_55
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (34), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (447) all_0_87_87 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (447) can reduce 457 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (457) ~ (all_0_87_87 = e3)
% 40.05/11.23 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (94), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (449) all_0_77_77 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (449) can reduce 450 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (450) ~ (all_0_77_77 = e3)
% 40.05/11.23 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (123), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (1114) all_0_86_86 = e3
% 40.05/11.23 |
% 40.05/11.23 | Equations (1114) can reduce 1061 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (1061) ~ (all_0_86_86 = e3)
% 40.05/11.23 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (627), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (416) all_0_87_87 = e2
% 40.05/11.23 |
% 40.05/11.23 | Equations (416) can reduce 430 to:
% 40.05/11.23 | (304) $false
% 40.05/11.23 |
% 40.05/11.23 |-The branch is then unsatisfiable
% 40.05/11.23 |-Branch two:
% 40.05/11.23 | (430) ~ (all_0_87_87 = e2)
% 40.05/11.23 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.05/11.23 |
% 40.05/11.23 +-Applying beta-rule and splitting (632), into two cases.
% 40.05/11.23 |-Branch one:
% 40.05/11.23 | (463) all_0_87_87 = e1
% 40.05/11.23 |
% 40.05/11.23 | Equations (463) can reduce 234 to:
% 40.05/11.23 | (1090) ~ (all_0_86_86 = e1)
% 40.05/11.23 |
% 40.05/11.23 | From (463) and (203) follows:
% 40.05/11.24 | (8618) op(e1, e1) = all_0_55_55
% 40.05/11.24 |
% 40.05/11.24 +-Applying beta-rule and splitting (698), into two cases.
% 40.05/11.24 |-Branch one:
% 40.05/11.24 | (703) all_0_78_78 = e2
% 40.05/11.24 |
% 40.05/11.24 | Equations (703) can reduce 689 to:
% 40.05/11.24 | (304) $false
% 40.05/11.24 |
% 40.05/11.24 |-The branch is then unsatisfiable
% 40.05/11.24 |-Branch two:
% 40.05/11.24 | (689) ~ (all_0_78_78 = e2)
% 40.05/11.24 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 40.05/11.24 |
% 40.05/11.24 +-Applying beta-rule and splitting (1169), into two cases.
% 40.05/11.24 |-Branch one:
% 40.05/11.24 | (418) all_0_77_77 = e2
% 40.05/11.24 |
% 40.05/11.24 | Equations (418) can reduce 423 to:
% 40.05/11.24 | (304) $false
% 40.05/11.24 |
% 40.05/11.24 |-The branch is then unsatisfiable
% 40.05/11.24 |-Branch two:
% 40.05/11.24 | (423) ~ (all_0_77_77 = e2)
% 40.05/11.24 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.05/11.24 |
% 40.05/11.24 +-Applying beta-rule and splitting (1117), into two cases.
% 40.05/11.24 |-Branch one:
% 40.05/11.24 | (1129) all_0_86_86 = e2
% 40.05/11.24 |
% 40.05/11.24 | From (1129) and (250) follows:
% 40.17/11.24 | (8628) op(e2, e0) = all_0_67_67
% 40.17/11.24 |
% 40.17/11.24 | From (1129) and (138) follows:
% 40.17/11.24 | (8629) op(e0, e2) = all_0_70_70
% 40.17/11.24 |
% 40.17/11.24 +-Applying beta-rule and splitting (1176), into two cases.
% 40.17/11.24 |-Branch one:
% 40.17/11.24 | (465) all_0_77_77 = e1
% 40.17/11.24 |
% 40.17/11.24 | Equations (465) can reduce 198 to:
% 40.17/11.24 | (708) ~ (all_0_78_78 = e1)
% 40.17/11.24 |
% 40.17/11.24 | Simplifying 708 yields:
% 40.17/11.24 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.24 |
% 40.17/11.24 | From (465) and (247) follows:
% 40.17/11.24 | (1578) op(e1, e2) = all_0_29_29
% 40.17/11.24 |
% 40.17/11.24 | From (465) and (80) follows:
% 40.17/11.24 | (8634) op(e1, e1) = all_0_30_30
% 40.17/11.24 |
% 40.17/11.24 | From (465) and (14) follows:
% 40.17/11.24 | (1579) op(e2, e1) = all_0_29_29
% 40.17/11.24 |
% 40.17/11.24 | From (465) and (47) follows:
% 40.17/11.24 | (8636) op(e1, e1) = all_0_45_45
% 40.17/11.24 |
% 40.17/11.24 +-Applying beta-rule and splitting (706), into two cases.
% 40.17/11.24 |-Branch one:
% 40.17/11.24 | (710) all_0_78_78 = e1
% 40.17/11.24 |
% 40.17/11.24 | Equations (710) can reduce 709 to:
% 40.17/11.24 | (304) $false
% 40.17/11.24 |
% 40.17/11.24 |-The branch is then unsatisfiable
% 40.17/11.24 |-Branch two:
% 40.17/11.24 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.24 | (713) all_0_78_78 = e0
% 40.17/11.24 |
% 40.17/11.24 | From (713) and (62) follows:
% 40.17/11.24 | (8641) op(e0, e2) = all_0_33_33
% 40.17/11.24 |
% 40.17/11.24 | From (713) and (90) follows:
% 40.17/11.24 | (4728) op(e3, e0) = all_0_14_14
% 40.17/11.24 |
% 40.17/11.24 | From (713) and (264) follows:
% 40.17/11.24 | (8643) op(e2, e0) = all_0_30_30
% 40.17/11.24 |
% 40.17/11.24 | From (713) and (209) follows:
% 40.17/11.24 | (6825) op(e2, e1) = e0
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 40.17/11.24 | (4731) all_0_14_14 = all_0_20_20
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e1, all_0_29_29, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_29_29, yields:
% 40.17/11.24 | (8423) all_0_26_26 = all_0_29_29
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 40.17/11.24 | (3199) all_0_26_26 = all_0_32_32
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e1, all_0_54_54, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_54_54, yields:
% 40.17/11.24 | (8416) all_0_26_26 = all_0_54_54
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e1, e0, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e0, yields:
% 40.17/11.24 | (8649) all_0_14_14 = e0
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e0, all_0_30_30, all_0_27_27 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_30_30, yields:
% 40.17/11.24 | (8650) all_0_27_27 = all_0_30_30
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e0, all_0_55_55, all_0_33_33 and discharging atoms op(e2, e0) = all_0_33_33, op(e2, e0) = all_0_55_55, yields:
% 40.17/11.24 | (8651) all_0_33_33 = all_0_55_55
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e2, e0, all_0_67_67, all_0_27_27 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_67_67, yields:
% 40.17/11.24 | (8652) all_0_27_27 = all_0_67_67
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_29_29 and discharging atoms op(e1, e2) = all_0_29_29, op(e1, e2) = all_0_41_41, yields:
% 40.17/11.24 | (3213) all_0_29_29 = all_0_41_41
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_44_44, yields:
% 40.17/11.24 | (4760) all_0_41_41 = all_0_44_44
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e1, e1, all_0_45_45, all_0_30_30 and discharging atoms op(e1, e1) = all_0_30_30, op(e1, e1) = all_0_45_45, yields:
% 40.17/11.24 | (8655) all_0_30_30 = all_0_45_45
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e1, e1, all_0_45_45, all_0_42_42 and discharging atoms op(e1, e1) = all_0_42_42, op(e1, e1) = all_0_45_45, yields:
% 40.17/11.24 | (8656) all_0_42_42 = all_0_45_45
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e1, e1, all_0_55_55, all_0_42_42 and discharging atoms op(e1, e1) = all_0_42_42, op(e1, e1) = all_0_55_55, yields:
% 40.17/11.24 | (8657) all_0_42_42 = all_0_55_55
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_20_20 and discharging atoms op(e0, e3) = all_0_20_20, op(e0, e3) = all_0_44_44, yields:
% 40.17/11.24 | (4748) all_0_20_20 = all_0_44_44
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e0, e2, all_0_33_33, e3 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = e3, yields:
% 40.17/11.24 | (774) all_0_33_33 = e3
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e0, e2, all_0_57_57, all_0_33_33 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = all_0_57_57, yields:
% 40.17/11.24 | (8660) all_0_33_33 = all_0_57_57
% 40.17/11.24 |
% 40.17/11.24 | Instantiating formula (268) with e0, e2, all_0_70_70, all_0_33_33 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = all_0_70_70, yields:
% 40.17/11.24 | (8661) all_0_33_33 = all_0_70_70
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (8649,4731) yields a new equation:
% 40.17/11.24 | (1394) all_0_20_20 = e0
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (4748,1394) yields a new equation:
% 40.17/11.24 | (4750) all_0_44_44 = e0
% 40.17/11.24 |
% 40.17/11.24 | Simplifying 4750 yields:
% 40.17/11.24 | (4751) all_0_44_44 = e0
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (3199,8423) yields a new equation:
% 40.17/11.24 | (3200) all_0_29_29 = all_0_32_32
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (8416,8423) yields a new equation:
% 40.17/11.24 | (8431) all_0_29_29 = all_0_54_54
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (8652,8650) yields a new equation:
% 40.17/11.24 | (8667) all_0_30_30 = all_0_67_67
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (3213,3200) yields a new equation:
% 40.17/11.24 | (3226) all_0_32_32 = all_0_41_41
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (8431,3200) yields a new equation:
% 40.17/11.24 | (8435) all_0_32_32 = all_0_54_54
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (8655,8667) yields a new equation:
% 40.17/11.24 | (8670) all_0_45_45 = all_0_67_67
% 40.17/11.24 |
% 40.17/11.24 | Simplifying 8670 yields:
% 40.17/11.24 | (8671) all_0_45_45 = all_0_67_67
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (3226,8435) yields a new equation:
% 40.17/11.24 | (8436) all_0_41_41 = all_0_54_54
% 40.17/11.24 |
% 40.17/11.24 | Simplifying 8436 yields:
% 40.17/11.24 | (8437) all_0_41_41 = all_0_54_54
% 40.17/11.24 |
% 40.17/11.24 | Combining equations (774,8660) yields a new equation:
% 40.17/11.24 | (8674) all_0_57_57 = e3
% 40.17/11.24 |
% 40.17/11.25 | Combining equations (8651,8660) yields a new equation:
% 40.17/11.25 | (8675) all_0_55_55 = all_0_57_57
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 8675 yields:
% 40.17/11.25 | (8676) all_0_55_55 = all_0_57_57
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8661,8660) yields a new equation:
% 40.17/11.25 | (8677) all_0_57_57 = all_0_70_70
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (4760,8437) yields a new equation:
% 40.17/11.25 | (8439) all_0_44_44 = all_0_54_54
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 8439 yields:
% 40.17/11.25 | (8440) all_0_44_44 = all_0_54_54
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8656,8657) yields a new equation:
% 40.17/11.25 | (8680) all_0_45_45 = all_0_55_55
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 8680 yields:
% 40.17/11.25 | (8681) all_0_45_45 = all_0_55_55
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (4751,8440) yields a new equation:
% 40.17/11.25 | (2226) all_0_54_54 = e0
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8681,8671) yields a new equation:
% 40.17/11.25 | (8683) all_0_55_55 = all_0_67_67
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 8683 yields:
% 40.17/11.25 | (4499) all_0_55_55 = all_0_67_67
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8676,4499) yields a new equation:
% 40.17/11.25 | (8685) all_0_57_57 = all_0_67_67
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 8685 yields:
% 40.17/11.25 | (8686) all_0_57_57 = all_0_67_67
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8677,8686) yields a new equation:
% 40.17/11.25 | (4506) all_0_67_67 = all_0_70_70
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8674,8686) yields a new equation:
% 40.17/11.25 | (1619) all_0_67_67 = e3
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (1619,4506) yields a new equation:
% 40.17/11.25 | (8689) all_0_70_70 = e3
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (2226,8435) yields a new equation:
% 40.17/11.25 | (8446) all_0_32_32 = e0
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (8446,3200) yields a new equation:
% 40.17/11.25 | (1193) all_0_29_29 = e0
% 40.17/11.25 |
% 40.17/11.25 | From (1193) and (287) follows:
% 40.17/11.25 | (8448) op(e0, e2) = all_0_3_3
% 40.17/11.25 |
% 40.17/11.25 | From (8689) and (8629) follows:
% 40.17/11.25 | (592) op(e0, e2) = e3
% 40.17/11.25 |
% 40.17/11.25 | Instantiating formula (268) with e0, e2, all_0_3_3, e3 and discharging atoms op(e0, e2) = all_0_3_3, op(e0, e2) = e3, yields:
% 40.17/11.25 | (6748) all_0_3_3 = e3
% 40.17/11.25 |
% 40.17/11.25 | Equations (6748) can reduce 6597 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.25 | (481) all_0_77_77 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (481) can reduce 482 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (1106) ~ (all_0_86_86 = e2)
% 40.17/11.25 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (706), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (710) all_0_78_78 = e1
% 40.17/11.25 |
% 40.17/11.25 | Equations (710) can reduce 709 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.25 | (713) all_0_78_78 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (713) can reduce 266 to:
% 40.17/11.25 | (1471) ~ (all_0_86_86 = e0)
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 1471 yields:
% 40.17/11.25 | (1472) ~ (all_0_86_86 = e0)
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (1132), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (1143) all_0_86_86 = e1
% 40.17/11.25 |
% 40.17/11.25 | Equations (1143) can reduce 1090 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (1090) ~ (all_0_86_86 = e1)
% 40.17/11.25 | (1146) all_0_86_86 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (1146) can reduce 1472 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (473) ~ (all_0_87_87 = e1)
% 40.17/11.25 | (479) all_0_87_87 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (479) can reduce 489 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (1105) ~ (all_0_83_83 = e2)
% 40.17/11.25 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (1128), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (1133) all_0_83_83 = e1
% 40.17/11.25 |
% 40.17/11.25 | Equations (1133) can reduce 1088 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (1088) ~ (all_0_83_83 = e1)
% 40.17/11.25 | (1136) all_0_83_83 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (1136) can reduce 1470 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (8450) all_0_3_3 = e1
% 40.17/11.25 | (8723) ~ (all_0_29_29 = e3) | ~ (all_0_77_77 = e0)
% 40.17/11.25 |
% 40.17/11.25 | From (8450) and (287) follows:
% 40.17/11.25 | (8724) op(all_0_29_29, e2) = e1
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (219), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (8230) ~ (all_0_3_3 = e1)
% 40.17/11.25 |
% 40.17/11.25 | Equations (8450) can reduce 8230 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (8450) all_0_3_3 = e1
% 40.17/11.25 | (8728) ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e3)
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (133), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (405) ~ (all_0_72_72 = e3)
% 40.17/11.25 |
% 40.17/11.25 | Equations (399) can reduce 405 to:
% 40.17/11.25 | (406) ~ (unit = e3)
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (119), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (409) unit = e3
% 40.17/11.25 |
% 40.17/11.25 | Equations (409) can reduce 406 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (406) ~ (unit = e3)
% 40.17/11.25 | (871) unit = e2 | unit = e1 | unit = e0
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (188), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (401) ~ (all_0_72_72 = e0)
% 40.17/11.25 |
% 40.17/11.25 | Equations (399) can reduce 401 to:
% 40.17/11.25 | (402) ~ (unit = e0)
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (241), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (448) all_0_82_82 = e3
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (317,448) yields a new equation:
% 40.17/11.25 | (408) unit = e3
% 40.17/11.25 |
% 40.17/11.25 | Simplifying 408 yields:
% 40.17/11.25 | (409) unit = e3
% 40.17/11.25 |
% 40.17/11.25 | Equations (409) can reduce 406 to:
% 40.17/11.25 | (304) $false
% 40.17/11.25 |
% 40.17/11.25 |-The branch is then unsatisfiable
% 40.17/11.25 |-Branch two:
% 40.17/11.25 | (454) ~ (all_0_82_82 = e3)
% 40.17/11.25 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 40.17/11.25 |
% 40.17/11.25 | Equations (317) can reduce 454 to:
% 40.17/11.25 | (406) ~ (unit = e3)
% 40.17/11.25 |
% 40.17/11.25 +-Applying beta-rule and splitting (24), into two cases.
% 40.17/11.25 |-Branch one:
% 40.17/11.25 | (407) all_0_72_72 = e3
% 40.17/11.25 |
% 40.17/11.25 | Combining equations (407,399) yields a new equation:
% 40.17/11.25 | (409) unit = e3
% 40.17/11.25 |
% 40.17/11.26 | Equations (409) can reduce 406 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (405) ~ (all_0_72_72 = e3)
% 40.17/11.26 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (147), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (419) ~ (all_0_72_72 = e2)
% 40.17/11.26 |
% 40.17/11.26 | Equations (399) can reduce 419 to:
% 40.17/11.26 | (622) ~ (unit = e2)
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (412), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (413) all_0_72_72 = e2
% 40.17/11.26 |
% 40.17/11.26 | Combining equations (413,399) yields a new equation:
% 40.17/11.26 | (415) unit = e2
% 40.17/11.26 |
% 40.17/11.26 | Equations (415) can reduce 622 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (419) ~ (all_0_72_72 = e2)
% 40.17/11.26 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (433), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (434) all_0_72_72 = e1
% 40.17/11.26 |
% 40.17/11.26 | Combining equations (434,399) yields a new equation:
% 40.17/11.26 | (436) unit = e1
% 40.17/11.26 |
% 40.17/11.26 | Equations (436) can reduce 1725 to:
% 40.17/11.26 | (894) ~ (all_0_73_73 = e1)
% 40.17/11.26 |
% 40.17/11.26 | Equations (436) can reduce 519 to:
% 40.17/11.26 | (728) ~ (all_0_75_75 = e1)
% 40.17/11.26 |
% 40.17/11.26 | Equations (436) can reduce 1729 to:
% 40.17/11.26 | (797) ~ (all_0_76_76 = e1)
% 40.17/11.26 |
% 40.17/11.26 | Equations (436) can reduce 525 to:
% 40.17/11.26 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.26 |
% 40.17/11.26 | Equations (436) can reduce 533 to:
% 40.17/11.26 | (1675) ~ (all_0_84_84 = e1)
% 40.17/11.26 |
% 40.17/11.26 | From (436) and (256) follows:
% 40.17/11.26 | (1009) op(e1, e3) = e3
% 40.17/11.26 |
% 40.17/11.26 | From (436) and (226) follows:
% 40.17/11.26 | (7001) op(e1, e2) = e2
% 40.17/11.26 |
% 40.17/11.26 | From (436) and (124) follows:
% 40.17/11.26 | (8305) op(e1, e0) = e0
% 40.17/11.26 |
% 40.17/11.26 | From (436) and (113) follows:
% 40.17/11.26 | (8306) op(e3, e1) = e3
% 40.17/11.26 |
% 40.17/11.26 | From (436) and (8) follows:
% 40.17/11.26 | (4871) op(e0, e1) = e0
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e3, e1, e3, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e3, yields:
% 40.17/11.26 | (691) all_0_74_74 = e3
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e1, e3, e3, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e3, yields:
% 40.17/11.26 | (1015) all_0_80_80 = e3
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e1, e2, e2, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e2, yields:
% 40.17/11.26 | (1155) all_0_81_81 = e2
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e1, e0, e0, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e0, yields:
% 40.17/11.26 | (1136) all_0_83_83 = e0
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e0, e1, e0, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e0, yields:
% 40.17/11.26 | (1146) all_0_86_86 = e0
% 40.17/11.26 |
% 40.17/11.26 | Equations (691) can reduce 199 to:
% 40.17/11.26 | (882) ~ (all_0_73_73 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Equations (1155) can reduce 185 to:
% 40.17/11.26 | (888) ~ (all_0_73_73 = e2)
% 40.17/11.26 |
% 40.17/11.26 | Equations (691) can reduce 140 to:
% 40.17/11.26 | (4904) ~ (all_0_75_75 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Simplifying 4904 yields:
% 40.17/11.26 | (718) ~ (all_0_75_75 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Equations (1015) can reduce 173 to:
% 40.17/11.26 | (677) ~ (all_0_76_76 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Equations (1155) can reduce 126 to:
% 40.17/11.26 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.26 |
% 40.17/11.26 | Equations (1015) can reduce 279 to:
% 40.17/11.26 | (4909) ~ (all_0_84_84 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Simplifying 4909 yields:
% 40.17/11.26 | (1059) ~ (all_0_84_84 = e3)
% 40.17/11.26 |
% 40.17/11.26 | Equations (1146) can reduce 51 to:
% 40.17/11.26 | (1055) ~ (all_0_84_84 = e0)
% 40.17/11.26 |
% 40.17/11.26 | From (1015) and (283) follows:
% 40.17/11.26 | (8326) op(e3, e2) = all_0_41_41
% 40.17/11.26 |
% 40.17/11.26 | From (1136) and (155) follows:
% 40.17/11.26 | (8327) op(e0, e1) = all_0_54_54
% 40.17/11.26 |
% 40.17/11.26 | From (1155) and (206) follows:
% 40.17/11.26 | (8329) op(e3, e2) = all_0_17_17
% 40.17/11.26 |
% 40.17/11.26 | From (691) and (285) follows:
% 40.17/11.26 | (8330) op(e2, e3) = all_0_26_26
% 40.17/11.26 |
% 40.17/11.26 | From (1015) and (109) follows:
% 40.17/11.26 | (8331) op(e2, e3) = all_0_32_32
% 40.17/11.26 |
% 40.17/11.26 | From (1136) and (84) follows:
% 40.17/11.26 | (8305) op(e1, e0) = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (71), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (878) all_0_73_73 = e3
% 40.17/11.26 |
% 40.17/11.26 | Equations (878) can reduce 882 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (882) ~ (all_0_73_73 = e3)
% 40.17/11.26 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (883), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (884) all_0_73_73 = e2
% 40.17/11.26 |
% 40.17/11.26 | Equations (884) can reduce 888 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (888) ~ (all_0_73_73 = e2)
% 40.17/11.26 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (74), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (679) all_0_75_75 = e3
% 40.17/11.26 |
% 40.17/11.26 | Equations (679) can reduce 718 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (718) ~ (all_0_75_75 = e3)
% 40.17/11.26 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (889), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (890) all_0_73_73 = e1
% 40.17/11.26 |
% 40.17/11.26 | Equations (890) can reduce 894 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (894) ~ (all_0_73_73 = e1)
% 40.17/11.26 | (895) all_0_73_73 = e0
% 40.17/11.26 |
% 40.17/11.26 | Equations (895) can reduce 106 to:
% 40.17/11.26 | (1029) ~ (all_0_75_75 = e0)
% 40.17/11.26 |
% 40.17/11.26 | Simplifying 1029 yields:
% 40.17/11.26 | (1030) ~ (all_0_75_75 = e0)
% 40.17/11.26 |
% 40.17/11.26 | Equations (895) can reduce 66 to:
% 40.17/11.26 | (8497) ~ (all_0_77_77 = e0)
% 40.17/11.26 |
% 40.17/11.26 | Simplifying 8497 yields:
% 40.17/11.26 | (482) ~ (all_0_77_77 = e0)
% 40.17/11.26 |
% 40.17/11.26 | From (895) and (92) follows:
% 40.17/11.26 | (8359) op(e0, e1) = all_0_14_14
% 40.17/11.26 |
% 40.17/11.26 | From (895) and (63) follows:
% 40.17/11.26 | (8360) op(e1, e0) = all_0_41_41
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (19), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (673) all_0_76_76 = e3
% 40.17/11.26 |
% 40.17/11.26 | Equations (673) can reduce 677 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (677) ~ (all_0_76_76 = e3)
% 40.17/11.26 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (94), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (449) all_0_77_77 = e3
% 40.17/11.26 |
% 40.17/11.26 | From (449) and (247) follows:
% 40.17/11.26 | (8363) op(e3, e2) = all_0_29_29
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (8728), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (8816) ~ (all_0_29_29 = e0)
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (240), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (1073) all_0_84_84 = e3
% 40.17/11.26 |
% 40.17/11.26 | Equations (1073) can reduce 1059 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (1059) ~ (all_0_84_84 = e3)
% 40.17/11.26 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (719), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (736) all_0_75_75 = e2
% 40.17/11.26 |
% 40.17/11.26 | From (736) and (15) follows:
% 40.17/11.26 | (8383) op(e2, e3) = all_0_20_20
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (1661), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (618) all_0_84_84 = e2
% 40.17/11.26 |
% 40.17/11.26 | Equations (618) can reduce 202 to:
% 40.17/11.26 | (765) ~ (all_0_76_76 = e2)
% 40.17/11.26 |
% 40.17/11.26 | From (618) and (95) follows:
% 40.17/11.26 | (8391) op(e3, e2) = all_0_20_20
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (678), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (761) all_0_76_76 = e2
% 40.17/11.26 |
% 40.17/11.26 | Equations (761) can reduce 765 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (765) ~ (all_0_76_76 = e2)
% 40.17/11.26 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.17/11.26 |
% 40.17/11.26 +-Applying beta-rule and splitting (766), into two cases.
% 40.17/11.26 |-Branch one:
% 40.17/11.26 | (781) all_0_76_76 = e1
% 40.17/11.26 |
% 40.17/11.26 | Equations (781) can reduce 797 to:
% 40.17/11.26 | (304) $false
% 40.17/11.26 |
% 40.17/11.26 |-The branch is then unsatisfiable
% 40.17/11.26 |-Branch two:
% 40.17/11.26 | (797) ~ (all_0_76_76 = e1)
% 40.17/11.26 | (798) all_0_76_76 = e0
% 40.17/11.26 |
% 40.17/11.26 | From (798) and (192) follows:
% 40.17/11.26 | (8376) op(e0, e1) = all_0_26_26
% 40.17/11.26 |
% 40.17/11.26 | From (798) and (145) follows:
% 40.17/11.26 | (8377) op(e1, e0) = all_0_44_44
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e3, e2, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_20_20, yields:
% 40.17/11.26 | (4747) all_0_17_17 = all_0_20_20
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e3, e2, all_0_29_29, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_29_29, yields:
% 40.17/11.26 | (3184) all_0_17_17 = all_0_29_29
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e3, e2, all_0_41_41, all_0_20_20 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = all_0_41_41, yields:
% 40.17/11.26 | (4996) all_0_20_20 = all_0_41_41
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e2, e3, all_0_26_26, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_26_26, yields:
% 40.17/11.26 | (8400) all_0_20_20 = all_0_26_26
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e2, e3, all_0_32_32, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_32_32, yields:
% 40.17/11.26 | (8401) all_0_20_20 = all_0_32_32
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e1, e0, all_0_44_44, e0 and discharging atoms op(e1, e0) = all_0_44_44, op(e1, e0) = e0, yields:
% 40.17/11.26 | (4751) all_0_44_44 = e0
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e1, e0, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e0) = all_0_41_41, op(e1, e0) = all_0_44_44, yields:
% 40.17/11.26 | (4760) all_0_41_41 = all_0_44_44
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e0, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_26_26, yields:
% 40.17/11.26 | (551) all_0_14_14 = all_0_26_26
% 40.17/11.26 |
% 40.17/11.26 | Instantiating formula (268) with e0, e1, all_0_54_54, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_54_54, yields:
% 40.17/11.26 | (8410) all_0_14_14 = all_0_54_54
% 40.17/11.26 |
% 40.17/11.26 | Combining equations (551,8410) yields a new equation:
% 40.17/11.27 | (8415) all_0_26_26 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8415 yields:
% 40.17/11.27 | (8416) all_0_26_26 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (4747,3184) yields a new equation:
% 40.17/11.27 | (8419) all_0_20_20 = all_0_29_29
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8419 yields:
% 40.17/11.27 | (8420) all_0_20_20 = all_0_29_29
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8401,8420) yields a new equation:
% 40.17/11.27 | (3200) all_0_29_29 = all_0_32_32
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8400,8420) yields a new equation:
% 40.17/11.27 | (8422) all_0_26_26 = all_0_29_29
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8422 yields:
% 40.17/11.27 | (8423) all_0_26_26 = all_0_29_29
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (4996,8420) yields a new equation:
% 40.17/11.27 | (3213) all_0_29_29 = all_0_41_41
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8423,8416) yields a new equation:
% 40.17/11.27 | (8430) all_0_29_29 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8430 yields:
% 40.17/11.27 | (8431) all_0_29_29 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (3213,3200) yields a new equation:
% 40.17/11.27 | (3226) all_0_32_32 = all_0_41_41
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8431,3200) yields a new equation:
% 40.17/11.27 | (8435) all_0_32_32 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (3226,8435) yields a new equation:
% 40.17/11.27 | (8436) all_0_41_41 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8436 yields:
% 40.17/11.27 | (8437) all_0_41_41 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (4760,8437) yields a new equation:
% 40.17/11.27 | (8439) all_0_44_44 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8439 yields:
% 40.17/11.27 | (8440) all_0_44_44 = all_0_54_54
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8440,4751) yields a new equation:
% 40.17/11.27 | (8441) all_0_54_54 = e0
% 40.17/11.27 |
% 40.17/11.27 | Simplifying 8441 yields:
% 40.17/11.27 | (2226) all_0_54_54 = e0
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (2226,8435) yields a new equation:
% 40.17/11.27 | (8446) all_0_32_32 = e0
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (8446,3200) yields a new equation:
% 40.17/11.27 | (1193) all_0_29_29 = e0
% 40.17/11.27 |
% 40.17/11.27 | Equations (1193) can reduce 8816 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (1050) ~ (all_0_84_84 = e2)
% 40.17/11.27 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.17/11.27 |
% 40.17/11.27 +-Applying beta-rule and splitting (1673), into two cases.
% 40.17/11.27 |-Branch one:
% 40.17/11.27 | (1085) all_0_84_84 = e1
% 40.17/11.27 |
% 40.17/11.27 | Equations (1085) can reduce 1675 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (1675) ~ (all_0_84_84 = e1)
% 40.17/11.27 | (1280) all_0_84_84 = e0
% 40.17/11.27 |
% 40.17/11.27 | Equations (1280) can reduce 1055 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (645) ~ (all_0_75_75 = e2)
% 40.17/11.27 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.17/11.27 |
% 40.17/11.27 +-Applying beta-rule and splitting (739), into two cases.
% 40.17/11.27 |-Branch one:
% 40.17/11.27 | (740) all_0_75_75 = e1
% 40.17/11.27 |
% 40.17/11.27 | Equations (740) can reduce 728 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (728) ~ (all_0_75_75 = e1)
% 40.17/11.27 | (743) all_0_75_75 = e0
% 40.17/11.27 |
% 40.17/11.27 | Equations (743) can reduce 1030 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (1193) all_0_29_29 = e0
% 40.17/11.27 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.27 |
% 40.17/11.27 | Equations (449) can reduce 450 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.27 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.27 |
% 40.17/11.27 +-Applying beta-rule and splitting (1169), into two cases.
% 40.17/11.27 |-Branch one:
% 40.17/11.27 | (418) all_0_77_77 = e2
% 40.17/11.27 |
% 40.17/11.27 | Equations (418) can reduce 423 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.27 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.27 |
% 40.17/11.27 +-Applying beta-rule and splitting (1176), into two cases.
% 40.17/11.27 |-Branch one:
% 40.17/11.27 | (465) all_0_77_77 = e1
% 40.17/11.27 |
% 40.17/11.27 | Equations (465) can reduce 466 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.27 | (481) all_0_77_77 = e0
% 40.17/11.27 |
% 40.17/11.27 | Equations (481) can reduce 482 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (403) ~ (all_0_72_72 = e1)
% 40.17/11.27 | (439) all_0_72_72 = e0
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (439,399) yields a new equation:
% 40.17/11.27 | (441) unit = e0
% 40.17/11.27 |
% 40.17/11.27 | Equations (441) can reduce 402 to:
% 40.17/11.27 | (304) $false
% 40.17/11.27 |
% 40.17/11.27 |-The branch is then unsatisfiable
% 40.17/11.27 |-Branch two:
% 40.17/11.27 | (413) all_0_72_72 = e2
% 40.17/11.27 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 40.17/11.27 |
% 40.17/11.27 | Combining equations (413,399) yields a new equation:
% 40.17/11.27 | (415) unit = e2
% 40.17/11.27 |
% 40.17/11.27 | Equations (415) can reduce 402 to:
% 40.17/11.27 | (248) ~ (e2 = e0)
% 40.17/11.27 |
% 40.17/11.27 | From (415) and (8) follows:
% 40.17/11.27 | (1108) op(e0, e2) = e0
% 40.17/11.27 |
% 40.17/11.27 | From (415) and (8084) follows:
% 40.17/11.28 | (4183) op(e0, e2) = e2
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.17/11.28 | (1221) e2 = e0
% 40.17/11.28 |
% 40.17/11.28 | Equations (1221) can reduce 248 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (439) all_0_72_72 = e0
% 40.17/11.28 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.17/11.28 |
% 40.17/11.28 | Combining equations (439,399) yields a new equation:
% 40.17/11.28 | (441) unit = e0
% 40.17/11.28 |
% 40.17/11.28 | From (441) and (226) follows:
% 40.17/11.28 | (4183) op(e0, e2) = e2
% 40.17/11.28 |
% 40.17/11.28 | From (441) and (8084) follows:
% 40.17/11.28 | (1108) op(e0, e2) = e0
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.17/11.28 | (1221) e2 = e0
% 40.17/11.28 |
% 40.17/11.28 | Equations (1221) can reduce 248 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (407) all_0_72_72 = e3
% 40.17/11.28 | (444) ~ (all_0_77_77 = e3) | ~ (all_0_82_82 = e3) | ~ (all_0_87_87 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Combining equations (407,399) yields a new equation:
% 40.17/11.28 | (409) unit = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 525 to:
% 40.17/11.28 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 527 to:
% 40.17/11.28 | (657) ~ (all_0_78_78 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 521 to:
% 40.17/11.28 | (1120) ~ (all_0_81_81 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 364 to:
% 40.17/11.28 | (1058) ~ (all_0_83_83 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 365 to:
% 40.17/11.28 | (1061) ~ (all_0_86_86 = e3)
% 40.17/11.28 |
% 40.17/11.28 | Equations (409) can reduce 1742 to:
% 40.17/11.28 | (457) ~ (all_0_87_87 = e3)
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (226) follows:
% 40.17/11.28 | (4622) op(e3, e2) = e2
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (101) follows:
% 40.17/11.28 | (4623) op(e3, e1) = e1
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (124) follows:
% 40.17/11.28 | (4624) op(e3, e0) = e0
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (104) follows:
% 40.17/11.28 | (2376) op(e2, e3) = e2
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (39) follows:
% 40.17/11.28 | (1010) op(e1, e3) = e1
% 40.17/11.28 |
% 40.17/11.28 | From (409) and (8) follows:
% 40.17/11.28 | (1357) op(e0, e3) = e0
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 40.17/11.28 | (884) all_0_73_73 = e2
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 40.17/11.28 | (707) all_0_74_74 = e1
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 40.17/11.28 | (743) all_0_75_75 = e0
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 40.17/11.28 | (761) all_0_76_76 = e2
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 40.17/11.28 | (1013) all_0_80_80 = e1
% 40.17/11.28 |
% 40.17/11.28 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 40.17/11.28 | (1280) all_0_84_84 = e0
% 40.17/11.28 |
% 40.17/11.28 | Equations (707) can reduce 38 to:
% 40.17/11.28 | (708) ~ (all_0_78_78 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 708 yields:
% 40.17/11.28 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Equations (707) can reduce 32 to:
% 40.17/11.28 | (1089) ~ (all_0_86_86 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 1089 yields:
% 40.17/11.28 | (1090) ~ (all_0_86_86 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Equations (743) can reduce 88 to:
% 40.17/11.28 | (1469) ~ (all_0_83_83 = e0)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 1469 yields:
% 40.17/11.28 | (1470) ~ (all_0_83_83 = e0)
% 40.17/11.28 |
% 40.17/11.28 | Equations (761) can reduce 96 to:
% 40.17/11.28 | (6627) ~ (all_0_77_77 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 6627 yields:
% 40.17/11.28 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Equations (761) can reduce 204 to:
% 40.17/11.28 | (3440) ~ (all_0_78_78 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 3440 yields:
% 40.17/11.28 | (689) ~ (all_0_78_78 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Equations (1013) can reduce 242 to:
% 40.17/11.28 | (2864) ~ (all_0_81_81 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 2864 yields:
% 40.17/11.28 | (1227) ~ (all_0_81_81 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Equations (1013) can reduce 217 to:
% 40.17/11.28 | (1915) ~ (all_0_83_83 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 1915 yields:
% 40.17/11.28 | (1088) ~ (all_0_83_83 = e1)
% 40.17/11.28 |
% 40.17/11.28 | Equations (1280) can reduce 191 to:
% 40.17/11.28 | (4646) ~ (all_0_87_87 = e0)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 4646 yields:
% 40.17/11.28 | (489) ~ (all_0_87_87 = e0)
% 40.17/11.28 |
% 40.17/11.28 | From (884) and (92) follows:
% 40.17/11.28 | (8559) op(e2, e1) = all_0_14_14
% 40.17/11.28 |
% 40.17/11.28 | From (743) and (15) follows:
% 40.17/11.28 | (8560) op(e0, e3) = all_0_20_20
% 40.17/11.28 |
% 40.17/11.28 | From (1280) and (95) follows:
% 40.17/11.28 | (4649) op(e3, e0) = all_0_20_20
% 40.17/11.28 |
% 40.17/11.28 | From (707) and (285) follows:
% 40.17/11.28 | (4651) op(e2, e1) = all_0_26_26
% 40.17/11.28 |
% 40.17/11.28 | From (743) and (53) follows:
% 40.17/11.28 | (6639) op(e2, e0) = all_0_27_27
% 40.17/11.28 |
% 40.17/11.28 | From (1013) and (109) follows:
% 40.17/11.28 | (4652) op(e2, e1) = all_0_32_32
% 40.17/11.28 |
% 40.17/11.28 | From (884) and (63) follows:
% 40.17/11.28 | (4653) op(e1, e2) = all_0_41_41
% 40.17/11.28 |
% 40.17/11.28 | From (707) and (98) follows:
% 40.17/11.28 | (8566) op(e1, e1) = all_0_42_42
% 40.17/11.28 |
% 40.17/11.28 | From (761) and (145) follows:
% 40.17/11.28 | (4654) op(e1, e2) = all_0_44_44
% 40.17/11.28 |
% 40.17/11.28 | From (884) and (56) follows:
% 40.17/11.28 | (6644) op(e0, e2) = all_0_57_57
% 40.17/11.28 |
% 40.17/11.28 | From (761) and (8151) follows:
% 40.17/11.28 | (592) op(e0, e2) = e3
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (123), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (1114) all_0_86_86 = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (1114) can reduce 1061 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (1061) ~ (all_0_86_86 = e3)
% 40.17/11.28 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (50), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (695) all_0_78_78 = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (695) can reduce 657 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (657) ~ (all_0_78_78 = e3)
% 40.17/11.28 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (176), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (825) all_0_81_81 = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (825) can reduce 1120 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (1120) ~ (all_0_81_81 = e3)
% 40.17/11.28 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (151), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (1110) all_0_83_83 = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (1110) can reduce 1058 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (1058) ~ (all_0_83_83 = e3)
% 40.17/11.28 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (698), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (703) all_0_78_78 = e2
% 40.17/11.28 |
% 40.17/11.28 | Equations (703) can reduce 689 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (689) ~ (all_0_78_78 = e2)
% 40.17/11.28 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (706), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (710) all_0_78_78 = e1
% 40.17/11.28 |
% 40.17/11.28 | Equations (710) can reduce 709 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.28 | (713) all_0_78_78 = e0
% 40.17/11.28 |
% 40.17/11.28 | Equations (713) can reduce 266 to:
% 40.17/11.28 | (1471) ~ (all_0_86_86 = e0)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 1471 yields:
% 40.17/11.28 | (1472) ~ (all_0_86_86 = e0)
% 40.17/11.28 |
% 40.17/11.28 | From (713) and (62) follows:
% 40.17/11.28 | (8641) op(e0, e2) = all_0_33_33
% 40.17/11.28 |
% 40.17/11.28 | From (713) and (90) follows:
% 40.17/11.28 | (4728) op(e3, e0) = all_0_14_14
% 40.17/11.28 |
% 40.17/11.28 | From (713) and (264) follows:
% 40.17/11.28 | (8643) op(e2, e0) = all_0_30_30
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (1117), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (1129) all_0_86_86 = e2
% 40.17/11.28 |
% 40.17/11.28 | From (1129) and (250) follows:
% 40.17/11.28 | (8628) op(e2, e0) = all_0_67_67
% 40.17/11.28 |
% 40.17/11.28 | From (1129) and (138) follows:
% 40.17/11.28 | (8629) op(e0, e2) = all_0_70_70
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (94), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (449) all_0_77_77 = e3
% 40.17/11.28 |
% 40.17/11.28 | Equations (449) can reduce 450 to:
% 40.17/11.28 | (304) $false
% 40.17/11.28 |
% 40.17/11.28 |-The branch is then unsatisfiable
% 40.17/11.28 |-Branch two:
% 40.17/11.28 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.28 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.28 |
% 40.17/11.28 +-Applying beta-rule and splitting (1113), into two cases.
% 40.17/11.28 |-Branch one:
% 40.17/11.28 | (1125) all_0_83_83 = e2
% 40.17/11.28 |
% 40.17/11.28 | Equations (1125) can reduce 189 to:
% 40.17/11.28 | (1104) ~ (all_0_81_81 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Equations (1125) can reduce 182 to:
% 40.17/11.28 | (2525) ~ (all_0_87_87 = e2)
% 40.17/11.28 |
% 40.17/11.28 | Simplifying 2525 yields:
% 40.17/11.28 | (430) ~ (all_0_87_87 = e2)
% 40.17/11.29 |
% 40.17/11.29 | From (1125) and (155) follows:
% 40.17/11.29 | (8598) op(e2, e1) = all_0_54_54
% 40.17/11.29 |
% 40.17/11.29 | From (1125) and (177) follows:
% 40.17/11.29 | (8599) op(e2, e0) = all_0_55_55
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (34), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (447) all_0_87_87 = e3
% 40.17/11.29 |
% 40.17/11.29 | Equations (447) can reduce 457 to:
% 40.17/11.29 | (304) $false
% 40.17/11.29 |
% 40.17/11.29 |-The branch is then unsatisfiable
% 40.17/11.29 |-Branch two:
% 40.17/11.29 | (457) ~ (all_0_87_87 = e3)
% 40.17/11.29 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (1142), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (1155) all_0_81_81 = e2
% 40.17/11.29 |
% 40.17/11.29 | Equations (1155) can reduce 1104 to:
% 40.17/11.29 | (304) $false
% 40.17/11.29 |
% 40.17/11.29 |-The branch is then unsatisfiable
% 40.17/11.29 |-Branch two:
% 40.17/11.29 | (1104) ~ (all_0_81_81 = e2)
% 40.17/11.29 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (1169), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (418) all_0_77_77 = e2
% 40.17/11.29 |
% 40.17/11.29 | Equations (418) can reduce 423 to:
% 40.17/11.29 | (304) $false
% 40.17/11.29 |
% 40.17/11.29 |-The branch is then unsatisfiable
% 40.17/11.29 |-Branch two:
% 40.17/11.29 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.29 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (627), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (416) all_0_87_87 = e2
% 40.17/11.29 |
% 40.17/11.29 | Equations (416) can reduce 430 to:
% 40.17/11.29 | (304) $false
% 40.17/11.29 |
% 40.17/11.29 |-The branch is then unsatisfiable
% 40.17/11.29 |-Branch two:
% 40.17/11.29 | (430) ~ (all_0_87_87 = e2)
% 40.17/11.29 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (1158), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (1163) all_0_81_81 = e1
% 40.17/11.29 |
% 40.17/11.29 | Equations (1163) can reduce 1227 to:
% 40.17/11.29 | (304) $false
% 40.17/11.29 |
% 40.17/11.29 |-The branch is then unsatisfiable
% 40.17/11.29 |-Branch two:
% 40.17/11.29 | (1227) ~ (all_0_81_81 = e1)
% 40.17/11.29 | (1228) all_0_81_81 = e0
% 40.17/11.29 |
% 40.17/11.29 | Equations (1228) can reduce 126 to:
% 40.17/11.29 | (482) ~ (all_0_77_77 = e0)
% 40.17/11.29 |
% 40.17/11.29 | From (1228) and (127) follows:
% 40.17/11.29 | (4683) op(e0, e3) = all_0_44_44
% 40.17/11.29 |
% 40.17/11.29 | From (1228) and (288) follows:
% 40.17/11.29 | (8594) op(e2, e0) = all_0_33_33
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (632), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (463) all_0_87_87 = e1
% 40.17/11.29 |
% 40.17/11.29 | From (463) and (8148) follows:
% 40.17/11.29 | (6825) op(e2, e1) = e0
% 40.17/11.29 |
% 40.17/11.29 | From (463) and (203) follows:
% 40.17/11.29 | (8618) op(e1, e1) = all_0_55_55
% 40.17/11.29 |
% 40.17/11.29 +-Applying beta-rule and splitting (1176), into two cases.
% 40.17/11.29 |-Branch one:
% 40.17/11.29 | (465) all_0_77_77 = e1
% 40.17/11.29 |
% 40.17/11.29 | Equations (465) can reduce 450 to:
% 40.17/11.29 | (1007) ~ (e3 = e1)
% 40.17/11.29 |
% 40.17/11.29 | Simplifying 1007 yields:
% 40.17/11.29 | (215) ~ (e3 = e1)
% 40.17/11.29 |
% 40.17/11.29 | From (465) and (247) follows:
% 40.17/11.29 | (1578) op(e1, e2) = all_0_29_29
% 40.17/11.29 |
% 40.17/11.29 | From (465) and (80) follows:
% 40.17/11.29 | (8634) op(e1, e1) = all_0_30_30
% 40.17/11.29 |
% 40.17/11.29 | From (465) and (14) follows:
% 40.17/11.29 | (1579) op(e2, e1) = all_0_29_29
% 40.17/11.29 |
% 40.17/11.29 | From (465) and (47) follows:
% 40.17/11.29 | (8636) op(e1, e1) = all_0_45_45
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 40.17/11.29 | (4731) all_0_14_14 = all_0_20_20
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e1, all_0_29_29, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_29_29, yields:
% 40.17/11.29 | (8423) all_0_26_26 = all_0_29_29
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 40.17/11.29 | (3199) all_0_26_26 = all_0_32_32
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e1, all_0_54_54, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_54_54, yields:
% 40.17/11.29 | (8416) all_0_26_26 = all_0_54_54
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e1, e0, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e0, yields:
% 40.17/11.29 | (8649) all_0_14_14 = e0
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e0, all_0_30_30, all_0_27_27 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_30_30, yields:
% 40.17/11.29 | (8650) all_0_27_27 = all_0_30_30
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e0, all_0_55_55, all_0_33_33 and discharging atoms op(e2, e0) = all_0_33_33, op(e2, e0) = all_0_55_55, yields:
% 40.17/11.29 | (8651) all_0_33_33 = all_0_55_55
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e2, e0, all_0_67_67, all_0_27_27 and discharging atoms op(e2, e0) = all_0_27_27, op(e2, e0) = all_0_67_67, yields:
% 40.17/11.29 | (8652) all_0_27_27 = all_0_67_67
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_29_29 and discharging atoms op(e1, e2) = all_0_29_29, op(e1, e2) = all_0_41_41, yields:
% 40.17/11.29 | (3213) all_0_29_29 = all_0_41_41
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_44_44, yields:
% 40.17/11.29 | (4760) all_0_41_41 = all_0_44_44
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e1, e1, all_0_45_45, all_0_30_30 and discharging atoms op(e1, e1) = all_0_30_30, op(e1, e1) = all_0_45_45, yields:
% 40.17/11.29 | (8655) all_0_30_30 = all_0_45_45
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e1, e1, all_0_45_45, all_0_42_42 and discharging atoms op(e1, e1) = all_0_42_42, op(e1, e1) = all_0_45_45, yields:
% 40.17/11.29 | (8656) all_0_42_42 = all_0_45_45
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e1, e1, all_0_55_55, all_0_42_42 and discharging atoms op(e1, e1) = all_0_42_42, op(e1, e1) = all_0_55_55, yields:
% 40.17/11.29 | (8657) all_0_42_42 = all_0_55_55
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_20_20 and discharging atoms op(e0, e3) = all_0_20_20, op(e0, e3) = all_0_44_44, yields:
% 40.17/11.29 | (4748) all_0_20_20 = all_0_44_44
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e0, e2, all_0_33_33, e3 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = e3, yields:
% 40.17/11.29 | (774) all_0_33_33 = e3
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e0, e2, all_0_57_57, all_0_33_33 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = all_0_57_57, yields:
% 40.17/11.29 | (8660) all_0_33_33 = all_0_57_57
% 40.17/11.29 |
% 40.17/11.29 | Instantiating formula (268) with e0, e2, all_0_70_70, all_0_33_33 and discharging atoms op(e0, e2) = all_0_33_33, op(e0, e2) = all_0_70_70, yields:
% 40.17/11.29 | (8661) all_0_33_33 = all_0_70_70
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (8649,4731) yields a new equation:
% 40.17/11.29 | (1394) all_0_20_20 = e0
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (4748,1394) yields a new equation:
% 40.17/11.29 | (4750) all_0_44_44 = e0
% 40.17/11.29 |
% 40.17/11.29 | Simplifying 4750 yields:
% 40.17/11.29 | (4751) all_0_44_44 = e0
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (3199,8423) yields a new equation:
% 40.17/11.29 | (3200) all_0_29_29 = all_0_32_32
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (8416,8423) yields a new equation:
% 40.17/11.29 | (8431) all_0_29_29 = all_0_54_54
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (8652,8650) yields a new equation:
% 40.17/11.29 | (8667) all_0_30_30 = all_0_67_67
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (3213,3200) yields a new equation:
% 40.17/11.29 | (3226) all_0_32_32 = all_0_41_41
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (8431,3200) yields a new equation:
% 40.17/11.29 | (8435) all_0_32_32 = all_0_54_54
% 40.17/11.29 |
% 40.17/11.29 | Combining equations (8655,8667) yields a new equation:
% 40.17/11.30 | (8670) all_0_45_45 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8670 yields:
% 40.17/11.30 | (8671) all_0_45_45 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (3226,8435) yields a new equation:
% 40.17/11.30 | (8436) all_0_41_41 = all_0_54_54
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8436 yields:
% 40.17/11.30 | (8437) all_0_41_41 = all_0_54_54
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (774,8660) yields a new equation:
% 40.17/11.30 | (8674) all_0_57_57 = e3
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8651,8660) yields a new equation:
% 40.17/11.30 | (8675) all_0_55_55 = all_0_57_57
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8675 yields:
% 40.17/11.30 | (8676) all_0_55_55 = all_0_57_57
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8661,8660) yields a new equation:
% 40.17/11.30 | (8677) all_0_57_57 = all_0_70_70
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (4760,8437) yields a new equation:
% 40.17/11.30 | (8439) all_0_44_44 = all_0_54_54
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8439 yields:
% 40.17/11.30 | (8440) all_0_44_44 = all_0_54_54
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8656,8657) yields a new equation:
% 40.17/11.30 | (8680) all_0_45_45 = all_0_55_55
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8680 yields:
% 40.17/11.30 | (8681) all_0_45_45 = all_0_55_55
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (4751,8440) yields a new equation:
% 40.17/11.30 | (2226) all_0_54_54 = e0
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8681,8671) yields a new equation:
% 40.17/11.30 | (8683) all_0_55_55 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8683 yields:
% 40.17/11.30 | (4499) all_0_55_55 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8676,4499) yields a new equation:
% 40.17/11.30 | (8685) all_0_57_57 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Simplifying 8685 yields:
% 40.17/11.30 | (8686) all_0_57_57 = all_0_67_67
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8677,8686) yields a new equation:
% 40.17/11.30 | (4506) all_0_67_67 = all_0_70_70
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8674,8686) yields a new equation:
% 40.17/11.30 | (1619) all_0_67_67 = e3
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (1619,4506) yields a new equation:
% 40.17/11.30 | (8689) all_0_70_70 = e3
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (2226,8435) yields a new equation:
% 40.17/11.30 | (8446) all_0_32_32 = e0
% 40.17/11.30 |
% 40.17/11.30 | Combining equations (8446,3200) yields a new equation:
% 40.17/11.30 | (1193) all_0_29_29 = e0
% 40.17/11.30 |
% 40.17/11.30 | From (1193) and (8724) follows:
% 40.17/11.30 | (6263) op(e0, e2) = e1
% 40.17/11.30 |
% 40.17/11.30 | From (8689) and (8629) follows:
% 40.17/11.30 | (592) op(e0, e2) = e3
% 40.17/11.30 |
% 40.17/11.30 | Instantiating formula (268) with e0, e2, e1, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e1, yields:
% 40.17/11.30 | (1017) e3 = e1
% 40.17/11.30 |
% 40.17/11.30 | Equations (1017) can reduce 215 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.30 | (481) all_0_77_77 = e0
% 40.17/11.30 |
% 40.17/11.30 | Equations (481) can reduce 482 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (473) ~ (all_0_87_87 = e1)
% 40.17/11.30 | (479) all_0_87_87 = e0
% 40.17/11.30 |
% 40.17/11.30 | Equations (479) can reduce 489 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (1105) ~ (all_0_83_83 = e2)
% 40.17/11.30 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 40.17/11.30 |
% 40.17/11.30 +-Applying beta-rule and splitting (1128), into two cases.
% 40.17/11.30 |-Branch one:
% 40.17/11.30 | (1133) all_0_83_83 = e1
% 40.17/11.30 |
% 40.17/11.30 | Equations (1133) can reduce 1088 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (1088) ~ (all_0_83_83 = e1)
% 40.17/11.30 | (1136) all_0_83_83 = e0
% 40.17/11.30 |
% 40.17/11.30 | Equations (1136) can reduce 1470 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (1106) ~ (all_0_86_86 = e2)
% 40.17/11.30 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 40.17/11.30 |
% 40.17/11.30 +-Applying beta-rule and splitting (1132), into two cases.
% 40.17/11.30 |-Branch one:
% 40.17/11.30 | (1143) all_0_86_86 = e1
% 40.17/11.30 |
% 40.17/11.30 | Equations (1143) can reduce 1090 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.30 |-Branch two:
% 40.17/11.30 | (1090) ~ (all_0_86_86 = e1)
% 40.17/11.30 | (1146) all_0_86_86 = e0
% 40.17/11.30 |
% 40.17/11.30 | Equations (1146) can reduce 1472 to:
% 40.17/11.30 | (304) $false
% 40.17/11.30 |
% 40.17/11.30 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (6748) all_0_3_3 = e3
% 40.17/11.31 | (7013) ~ (all_0_29_29 = e1) | ~ (all_0_77_77 = e0)
% 40.17/11.31 |
% 40.17/11.31 | From (6748) and (287) follows:
% 40.17/11.31 | (7014) op(all_0_29_29, e2) = e3
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (20), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (6597) ~ (all_0_3_3 = e3)
% 40.17/11.31 |
% 40.17/11.31 | Equations (6748) can reduce 6597 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (6748) all_0_3_3 = e3
% 40.17/11.31 | (9113) ~ (all_0_29_29 = e0) | ~ (all_0_77_77 = e1)
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (230), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (403) ~ (all_0_72_72 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Equations (399) can reduce 403 to:
% 40.17/11.31 | (404) ~ (unit = e1)
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (188), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (401) ~ (all_0_72_72 = e0)
% 40.17/11.31 |
% 40.17/11.31 | Equations (399) can reduce 401 to:
% 40.17/11.31 | (402) ~ (unit = e0)
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (23), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (600) all_0_85_85 = e3
% 40.17/11.31 |
% 40.17/11.31 | Combining equations (600,8086) yields a new equation:
% 40.17/11.31 | (409) unit = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (409) can reduce 525 to:
% 40.17/11.31 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.31 |
% 40.17/11.31 | Equations (409) can reduce 527 to:
% 40.17/11.31 | (657) ~ (all_0_78_78 = e3)
% 40.17/11.31 |
% 40.17/11.31 | Equations (409) can reduce 521 to:
% 40.17/11.31 | (1120) ~ (all_0_81_81 = e3)
% 40.17/11.31 |
% 40.17/11.31 | Equations (409) can reduce 364 to:
% 40.17/11.31 | (1058) ~ (all_0_83_83 = e3)
% 40.17/11.31 |
% 40.17/11.31 | Equations (409) can reduce 1742 to:
% 40.17/11.31 | (457) ~ (all_0_87_87 = e3)
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (226) follows:
% 40.17/11.31 | (4622) op(e3, e2) = e2
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (101) follows:
% 40.17/11.31 | (4623) op(e3, e1) = e1
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (124) follows:
% 40.17/11.31 | (4624) op(e3, e0) = e0
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (104) follows:
% 40.17/11.31 | (2376) op(e2, e3) = e2
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (39) follows:
% 40.17/11.31 | (1010) op(e1, e3) = e1
% 40.17/11.31 |
% 40.17/11.31 | From (409) and (8) follows:
% 40.17/11.31 | (1357) op(e0, e3) = e0
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e3, e2, e2, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e2, yields:
% 40.17/11.31 | (884) all_0_73_73 = e2
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e3, e1, e1, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e1, yields:
% 40.17/11.31 | (707) all_0_74_74 = e1
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e3, e0, e0, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e0, yields:
% 40.17/11.31 | (743) all_0_75_75 = e0
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e2, e3, e2, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e2, yields:
% 40.17/11.31 | (761) all_0_76_76 = e2
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e1, e3, e1, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e1, yields:
% 40.17/11.31 | (1013) all_0_80_80 = e1
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e0, e3, e0, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e0, yields:
% 40.17/11.31 | (1280) all_0_84_84 = e0
% 40.17/11.31 |
% 40.17/11.31 | Equations (884) can reduce 185 to:
% 40.17/11.31 | (2453) ~ (all_0_81_81 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 2453 yields:
% 40.17/11.31 | (1104) ~ (all_0_81_81 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Equations (707) can reduce 38 to:
% 40.17/11.31 | (708) ~ (all_0_78_78 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 708 yields:
% 40.17/11.31 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Equations (743) can reduce 88 to:
% 40.17/11.31 | (1469) ~ (all_0_83_83 = e0)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 1469 yields:
% 40.17/11.31 | (1470) ~ (all_0_83_83 = e0)
% 40.17/11.31 |
% 40.17/11.31 | Equations (761) can reduce 96 to:
% 40.17/11.31 | (6627) ~ (all_0_77_77 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 6627 yields:
% 40.17/11.31 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Equations (761) can reduce 204 to:
% 40.17/11.31 | (3440) ~ (all_0_78_78 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 3440 yields:
% 40.17/11.31 | (689) ~ (all_0_78_78 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Equations (1013) can reduce 242 to:
% 40.17/11.31 | (2864) ~ (all_0_81_81 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 2864 yields:
% 40.17/11.31 | (1227) ~ (all_0_81_81 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Equations (1013) can reduce 217 to:
% 40.17/11.31 | (1915) ~ (all_0_83_83 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 1915 yields:
% 40.17/11.31 | (1088) ~ (all_0_83_83 = e1)
% 40.17/11.31 |
% 40.17/11.31 | Equations (1280) can reduce 191 to:
% 40.17/11.31 | (4646) ~ (all_0_87_87 = e0)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 4646 yields:
% 40.17/11.31 | (489) ~ (all_0_87_87 = e0)
% 40.17/11.31 |
% 40.17/11.31 | From (884) and (92) follows:
% 40.17/11.31 | (8559) op(e2, e1) = all_0_14_14
% 40.17/11.31 |
% 40.17/11.31 | From (743) and (15) follows:
% 40.17/11.31 | (8560) op(e0, e3) = all_0_20_20
% 40.17/11.31 |
% 40.17/11.31 | From (1280) and (95) follows:
% 40.17/11.31 | (4649) op(e3, e0) = all_0_20_20
% 40.17/11.31 |
% 40.17/11.31 | From (707) and (285) follows:
% 40.17/11.31 | (4651) op(e2, e1) = all_0_26_26
% 40.17/11.31 |
% 40.17/11.31 | From (1013) and (109) follows:
% 40.17/11.31 | (4652) op(e2, e1) = all_0_32_32
% 40.17/11.31 |
% 40.17/11.31 | From (884) and (63) follows:
% 40.17/11.31 | (4653) op(e1, e2) = all_0_41_41
% 40.17/11.31 |
% 40.17/11.31 | From (761) and (145) follows:
% 40.17/11.31 | (4654) op(e1, e2) = all_0_44_44
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (50), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (695) all_0_78_78 = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (695) can reduce 657 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (657) ~ (all_0_78_78 = e3)
% 40.17/11.31 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (176), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (825) all_0_81_81 = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (825) can reduce 1120 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (1120) ~ (all_0_81_81 = e3)
% 40.17/11.31 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (1142), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (1155) all_0_81_81 = e2
% 40.17/11.31 |
% 40.17/11.31 | Equations (1155) can reduce 1104 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (1104) ~ (all_0_81_81 = e2)
% 40.17/11.31 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (151), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (1110) all_0_83_83 = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (1110) can reduce 1058 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (1058) ~ (all_0_83_83 = e3)
% 40.17/11.31 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (698), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (703) all_0_78_78 = e2
% 40.17/11.31 |
% 40.17/11.31 | Equations (703) can reduce 689 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (689) ~ (all_0_78_78 = e2)
% 40.17/11.31 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (1113), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (1125) all_0_83_83 = e2
% 40.17/11.31 |
% 40.17/11.31 | Equations (1125) can reduce 182 to:
% 40.17/11.31 | (2525) ~ (all_0_87_87 = e2)
% 40.17/11.31 |
% 40.17/11.31 | Simplifying 2525 yields:
% 40.17/11.31 | (430) ~ (all_0_87_87 = e2)
% 40.17/11.31 |
% 40.17/11.31 | From (1125) and (155) follows:
% 40.17/11.31 | (8598) op(e2, e1) = all_0_54_54
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (34), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (447) all_0_87_87 = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (447) can reduce 457 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (457) ~ (all_0_87_87 = e3)
% 40.17/11.31 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (1158), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (1163) all_0_81_81 = e1
% 40.17/11.31 |
% 40.17/11.31 | Equations (1163) can reduce 1227 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (1227) ~ (all_0_81_81 = e1)
% 40.17/11.31 | (1228) all_0_81_81 = e0
% 40.17/11.31 |
% 40.17/11.31 | From (1228) and (127) follows:
% 40.17/11.31 | (4683) op(e0, e3) = all_0_44_44
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (94), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (449) all_0_77_77 = e3
% 40.17/11.31 |
% 40.17/11.31 | Equations (449) can reduce 450 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (450) ~ (all_0_77_77 = e3)
% 40.17/11.31 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (706), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (710) all_0_78_78 = e1
% 40.17/11.31 |
% 40.17/11.31 | Equations (710) can reduce 709 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (709) ~ (all_0_78_78 = e1)
% 40.17/11.31 | (713) all_0_78_78 = e0
% 40.17/11.31 |
% 40.17/11.31 | Equations (713) can reduce 198 to:
% 40.17/11.31 | (482) ~ (all_0_77_77 = e0)
% 40.17/11.31 |
% 40.17/11.31 | From (713) and (90) follows:
% 40.17/11.31 | (4728) op(e3, e0) = all_0_14_14
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (1169), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (418) all_0_77_77 = e2
% 40.17/11.31 |
% 40.17/11.31 | Equations (418) can reduce 423 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.31 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (1176), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (465) all_0_77_77 = e1
% 40.17/11.31 |
% 40.17/11.31 | From (465) and (247) follows:
% 40.17/11.31 | (1578) op(e1, e2) = all_0_29_29
% 40.17/11.31 |
% 40.17/11.31 | From (465) and (14) follows:
% 40.17/11.31 | (1579) op(e2, e1) = all_0_29_29
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (9113), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (8816) ~ (all_0_29_29 = e0)
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (627), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (416) all_0_87_87 = e2
% 40.17/11.31 |
% 40.17/11.31 | Equations (416) can reduce 430 to:
% 40.17/11.31 | (304) $false
% 40.17/11.31 |
% 40.17/11.31 |-The branch is then unsatisfiable
% 40.17/11.31 |-Branch two:
% 40.17/11.31 | (430) ~ (all_0_87_87 = e2)
% 40.17/11.31 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.17/11.31 |
% 40.17/11.31 +-Applying beta-rule and splitting (632), into two cases.
% 40.17/11.31 |-Branch one:
% 40.17/11.31 | (463) all_0_87_87 = e1
% 40.17/11.31 |
% 40.17/11.31 | From (463) and (8148) follows:
% 40.17/11.31 | (6825) op(e2, e1) = e0
% 40.17/11.31 |
% 40.17/11.31 | Instantiating formula (268) with e3, e0, all_0_20_20, all_0_14_14 and discharging atoms op(e3, e0) = all_0_14_14, op(e3, e0) = all_0_20_20, yields:
% 40.17/11.32 | (4731) all_0_14_14 = all_0_20_20
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e2, e1, all_0_29_29, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_29_29, yields:
% 40.17/11.32 | (8423) all_0_26_26 = all_0_29_29
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e2, e1, all_0_32_32, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_32_32, yields:
% 40.17/11.32 | (3199) all_0_26_26 = all_0_32_32
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e2, e1, all_0_54_54, all_0_26_26 and discharging atoms op(e2, e1) = all_0_26_26, op(e2, e1) = all_0_54_54, yields:
% 40.17/11.32 | (8416) all_0_26_26 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e2, e1, e0, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e0, yields:
% 40.17/11.32 | (8649) all_0_14_14 = e0
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e1, e2, all_0_41_41, all_0_29_29 and discharging atoms op(e1, e2) = all_0_29_29, op(e1, e2) = all_0_41_41, yields:
% 40.17/11.32 | (3213) all_0_29_29 = all_0_41_41
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e1, e2, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e2) = all_0_41_41, op(e1, e2) = all_0_44_44, yields:
% 40.17/11.32 | (4760) all_0_41_41 = all_0_44_44
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e0, e3, all_0_44_44, all_0_20_20 and discharging atoms op(e0, e3) = all_0_20_20, op(e0, e3) = all_0_44_44, yields:
% 40.17/11.32 | (4748) all_0_20_20 = all_0_44_44
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (8649,4731) yields a new equation:
% 40.17/11.32 | (1394) all_0_20_20 = e0
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (4748,1394) yields a new equation:
% 40.17/11.32 | (4750) all_0_44_44 = e0
% 40.17/11.32 |
% 40.17/11.32 | Simplifying 4750 yields:
% 40.17/11.32 | (4751) all_0_44_44 = e0
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (3199,8423) yields a new equation:
% 40.17/11.32 | (3200) all_0_29_29 = all_0_32_32
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (8416,8423) yields a new equation:
% 40.17/11.32 | (8431) all_0_29_29 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (3213,3200) yields a new equation:
% 40.17/11.32 | (3226) all_0_32_32 = all_0_41_41
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (8431,3200) yields a new equation:
% 40.17/11.32 | (8435) all_0_32_32 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (3226,8435) yields a new equation:
% 40.17/11.32 | (8436) all_0_41_41 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Simplifying 8436 yields:
% 40.17/11.32 | (8437) all_0_41_41 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (4760,8437) yields a new equation:
% 40.17/11.32 | (8439) all_0_44_44 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Simplifying 8439 yields:
% 40.17/11.32 | (8440) all_0_44_44 = all_0_54_54
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (4751,8440) yields a new equation:
% 40.17/11.32 | (2226) all_0_54_54 = e0
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (2226,8435) yields a new equation:
% 40.17/11.32 | (8446) all_0_32_32 = e0
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (8446,3200) yields a new equation:
% 40.17/11.32 | (1193) all_0_29_29 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (1193) can reduce 8816 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (473) ~ (all_0_87_87 = e1)
% 40.17/11.32 | (479) all_0_87_87 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (479) can reduce 489 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1193) all_0_29_29 = e0
% 40.17/11.32 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (465) can reduce 466 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.32 | (481) all_0_77_77 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (481) can reduce 482 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1105) ~ (all_0_83_83 = e2)
% 40.17/11.32 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 40.17/11.32 |
% 40.17/11.32 +-Applying beta-rule and splitting (1128), into two cases.
% 40.17/11.32 |-Branch one:
% 40.17/11.32 | (1133) all_0_83_83 = e1
% 40.17/11.32 |
% 40.17/11.32 | Equations (1133) can reduce 1088 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1088) ~ (all_0_83_83 = e1)
% 40.17/11.32 | (1136) all_0_83_83 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (1136) can reduce 1470 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1436) ~ (all_0_85_85 = e3)
% 40.17/11.32 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.17/11.32 |
% 40.17/11.32 +-Applying beta-rule and splitting (1546), into two cases.
% 40.17/11.32 |-Branch one:
% 40.17/11.32 | (1558) all_0_85_85 = e2
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (1558,8086) yields a new equation:
% 40.17/11.32 | (415) unit = e2
% 40.17/11.32 |
% 40.17/11.32 | Equations (415) can reduce 402 to:
% 40.17/11.32 | (248) ~ (e2 = e0)
% 40.17/11.32 |
% 40.17/11.32 | From (415) and (8) follows:
% 40.17/11.32 | (1108) op(e0, e2) = e0
% 40.17/11.32 |
% 40.17/11.32 | From (415) and (8084) follows:
% 40.17/11.32 | (4183) op(e0, e2) = e2
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.17/11.32 | (1221) e2 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (1221) can reduce 248 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1498) ~ (all_0_85_85 = e2)
% 40.17/11.32 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 40.17/11.32 |
% 40.17/11.32 +-Applying beta-rule and splitting (1561), into two cases.
% 40.17/11.32 |-Branch one:
% 40.17/11.32 | (1566) all_0_85_85 = e1
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (1566,8086) yields a new equation:
% 40.17/11.32 | (436) unit = e1
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 404 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (1540) ~ (all_0_85_85 = e1)
% 40.17/11.32 | (1569) all_0_85_85 = e0
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (1569,8086) yields a new equation:
% 40.17/11.32 | (441) unit = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (441) can reduce 402 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (439) all_0_72_72 = e0
% 40.17/11.32 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (439,399) yields a new equation:
% 40.17/11.32 | (441) unit = e0
% 40.17/11.32 |
% 40.17/11.32 | From (441) and (226) follows:
% 40.17/11.32 | (4183) op(e0, e2) = e2
% 40.17/11.32 |
% 40.17/11.32 | From (441) and (8084) follows:
% 40.17/11.32 | (1108) op(e0, e2) = e0
% 40.17/11.32 |
% 40.17/11.32 | Instantiating formula (268) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 40.17/11.32 | (1221) e2 = e0
% 40.17/11.32 |
% 40.17/11.32 | Equations (1221) can reduce 248 to:
% 40.17/11.32 | (304) $false
% 40.17/11.32 |
% 40.17/11.32 |-The branch is then unsatisfiable
% 40.17/11.32 |-Branch two:
% 40.17/11.32 | (434) all_0_72_72 = e1
% 40.17/11.32 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Combining equations (434,399) yields a new equation:
% 40.17/11.32 | (436) unit = e1
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 1725 to:
% 40.17/11.32 | (894) ~ (all_0_73_73 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 519 to:
% 40.17/11.32 | (728) ~ (all_0_75_75 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 1729 to:
% 40.17/11.32 | (797) ~ (all_0_76_76 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 525 to:
% 40.17/11.32 | (466) ~ (all_0_77_77 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 533 to:
% 40.17/11.32 | (1675) ~ (all_0_84_84 = e1)
% 40.17/11.32 |
% 40.17/11.32 | Equations (436) can reduce 1742 to:
% 40.17/11.32 | (473) ~ (all_0_87_87 = e1)
% 40.17/11.32 |
% 40.17/11.32 | From (436) and (256) follows:
% 40.17/11.32 | (1009) op(e1, e3) = e3
% 40.17/11.32 |
% 40.17/11.32 | From (436) and (226) follows:
% 40.17/11.32 | (7001) op(e1, e2) = e2
% 40.17/11.32 |
% 40.17/11.32 | From (436) and (124) follows:
% 40.17/11.33 | (8305) op(e1, e0) = e0
% 40.17/11.33 |
% 40.17/11.33 | From (436) and (113) follows:
% 40.17/11.33 | (8306) op(e3, e1) = e3
% 40.17/11.33 |
% 40.17/11.33 | From (436) and (104) follows:
% 40.17/11.33 | (2959) op(e2, e1) = e2
% 40.17/11.33 |
% 40.17/11.33 | From (436) and (8) follows:
% 40.17/11.33 | (4871) op(e0, e1) = e0
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e3, e1, e3, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = e3, yields:
% 40.17/11.33 | (691) all_0_74_74 = e3
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e2, e1, e2, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e2, yields:
% 40.17/11.33 | (703) all_0_78_78 = e2
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e1, e3, e3, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = e3, yields:
% 40.17/11.33 | (1015) all_0_80_80 = e3
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e1, e2, e2, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e2, yields:
% 40.17/11.33 | (1155) all_0_81_81 = e2
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e1, e0, e0, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e0, yields:
% 40.17/11.33 | (1136) all_0_83_83 = e0
% 40.17/11.33 |
% 40.17/11.33 | Instantiating formula (268) with e0, e1, e0, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e0, yields:
% 40.17/11.33 | (1146) all_0_86_86 = e0
% 40.17/11.33 |
% 40.17/11.33 | Equations (691) can reduce 199 to:
% 40.17/11.33 | (882) ~ (all_0_73_73 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Equations (691) can reduce 140 to:
% 40.17/11.33 | (4904) ~ (all_0_75_75 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Simplifying 4904 yields:
% 40.17/11.33 | (718) ~ (all_0_75_75 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Equations (1136) can reduce 88 to:
% 40.17/11.33 | (1030) ~ (all_0_75_75 = e0)
% 40.17/11.33 |
% 40.17/11.33 | Equations (703) can reduce 204 to:
% 40.17/11.33 | (765) ~ (all_0_76_76 = e2)
% 40.17/11.33 |
% 40.17/11.33 | Equations (1015) can reduce 173 to:
% 40.17/11.33 | (677) ~ (all_0_76_76 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Equations (1155) can reduce 126 to:
% 40.17/11.33 | (423) ~ (all_0_77_77 = e2)
% 40.17/11.33 |
% 40.17/11.33 | Equations (1015) can reduce 279 to:
% 40.17/11.33 | (4909) ~ (all_0_84_84 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Simplifying 4909 yields:
% 40.17/11.33 | (1059) ~ (all_0_84_84 = e3)
% 40.17/11.33 |
% 40.17/11.33 | Equations (1146) can reduce 234 to:
% 40.17/11.33 | (4646) ~ (all_0_87_87 = e0)
% 40.17/11.33 |
% 40.17/11.33 | Simplifying 4646 yields:
% 40.17/11.33 | (489) ~ (all_0_87_87 = e0)
% 40.17/11.33 |
% 40.17/11.33 | From (1015) and (283) follows:
% 40.17/11.33 | (8326) op(e3, e2) = all_0_41_41
% 40.17/11.33 |
% 40.17/11.33 | From (1136) and (155) follows:
% 40.17/11.33 | (8327) op(e0, e1) = all_0_54_54
% 40.17/11.33 |
% 40.17/11.33 | From (1015) and (159) follows:
% 40.17/11.33 | (721) op(e3, e3) = all_0_16_16
% 40.17/11.33 |
% 40.17/11.33 | From (1155) and (206) follows:
% 40.17/11.33 | (8329) op(e3, e2) = all_0_17_17
% 40.17/11.33 |
% 40.17/11.33 | From (691) and (285) follows:
% 40.17/11.33 | (8330) op(e2, e3) = all_0_26_26
% 40.17/11.33 |
% 40.17/11.33 | From (1015) and (109) follows:
% 40.17/11.33 | (8331) op(e2, e3) = all_0_32_32
% 40.17/11.33 |
% 40.17/11.33 | From (1136) and (157) follows:
% 40.17/11.33 | (4200) op(e2, e0) = all_0_35_35
% 40.17/11.33 |
% 40.17/11.33 | From (1136) and (84) follows:
% 40.17/11.33 | (8305) op(e1, e0) = e0
% 40.17/11.33 |
% 40.17/11.33 | From (703) and (8153) follows:
% 40.17/11.33 | (6263) op(e0, e2) = e1
% 40.17/11.33 |
% 40.17/11.33 | From (1155) and (164) follows:
% 40.17/11.33 | (1148) op(e0, e2) = all_0_65_65
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (74), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (679) all_0_75_75 = e3
% 40.17/11.33 |
% 40.17/11.33 | Equations (679) can reduce 718 to:
% 40.17/11.33 | (304) $false
% 40.17/11.33 |
% 40.17/11.33 |-The branch is then unsatisfiable
% 40.17/11.33 |-Branch two:
% 40.17/11.33 | (718) ~ (all_0_75_75 = e3)
% 40.17/11.33 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (19), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (673) all_0_76_76 = e3
% 40.17/11.33 |
% 40.17/11.33 | Equations (673) can reduce 677 to:
% 40.17/11.33 | (304) $false
% 40.17/11.33 |
% 40.17/11.33 |-The branch is then unsatisfiable
% 40.17/11.33 |-Branch two:
% 40.17/11.33 | (677) ~ (all_0_76_76 = e3)
% 40.17/11.33 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (678), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (761) all_0_76_76 = e2
% 40.17/11.33 |
% 40.17/11.33 | Equations (761) can reduce 765 to:
% 40.17/11.33 | (304) $false
% 40.17/11.33 |
% 40.17/11.33 |-The branch is then unsatisfiable
% 40.17/11.33 |-Branch two:
% 40.17/11.33 | (765) ~ (all_0_76_76 = e2)
% 40.17/11.33 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (766), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (781) all_0_76_76 = e1
% 40.17/11.33 |
% 40.17/11.33 | Equations (781) can reduce 797 to:
% 40.17/11.33 | (304) $false
% 40.17/11.33 |
% 40.17/11.33 |-The branch is then unsatisfiable
% 40.17/11.33 |-Branch two:
% 40.17/11.33 | (797) ~ (all_0_76_76 = e1)
% 40.17/11.33 | (798) all_0_76_76 = e0
% 40.17/11.33 |
% 40.17/11.33 | Equations (798) can reduce 96 to:
% 40.17/11.33 | (8497) ~ (all_0_77_77 = e0)
% 40.17/11.33 |
% 40.17/11.33 | Simplifying 8497 yields:
% 40.17/11.33 | (482) ~ (all_0_77_77 = e0)
% 40.17/11.33 |
% 40.17/11.33 | Equations (798) can reduce 202 to:
% 40.17/11.33 | (3539) ~ (all_0_84_84 = e0)
% 40.17/11.33 |
% 40.17/11.33 | Simplifying 3539 yields:
% 40.17/11.33 | (1055) ~ (all_0_84_84 = e0)
% 40.17/11.33 |
% 40.17/11.33 | From (798) and (68) follows:
% 40.17/11.33 | (8375) op(e0, e2) = all_0_25_25
% 40.17/11.33 |
% 40.17/11.33 | From (798) and (192) follows:
% 40.17/11.33 | (8376) op(e0, e1) = all_0_26_26
% 40.17/11.33 |
% 40.17/11.33 | From (798) and (145) follows:
% 40.17/11.33 | (8377) op(e1, e0) = all_0_44_44
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (71), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (878) all_0_73_73 = e3
% 40.17/11.33 |
% 40.17/11.33 | Equations (878) can reduce 882 to:
% 40.17/11.33 | (304) $false
% 40.17/11.33 |
% 40.17/11.33 |-The branch is then unsatisfiable
% 40.17/11.33 |-Branch two:
% 40.17/11.33 | (882) ~ (all_0_73_73 = e3)
% 40.17/11.33 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.17/11.33 |
% 40.17/11.33 +-Applying beta-rule and splitting (94), into two cases.
% 40.17/11.33 |-Branch one:
% 40.17/11.33 | (449) all_0_77_77 = e3
% 40.17/11.33 |
% 40.17/11.33 | From (449) and (45) follows:
% 40.17/11.33 | (8362) op(e3, e3) = all_0_28_28
% 40.17/11.33 |
% 40.17/11.33 | From (449) and (247) follows:
% 40.17/11.33 | (8363) op(e3, e2) = all_0_29_29
% 40.17/11.33 |
% 40.17/11.33 | From (449) and (108) follows:
% 40.41/11.33 | (6855) op(e3, e3) = all_0_13_13
% 40.41/11.33 |
% 40.41/11.33 +-Applying beta-rule and splitting (719), into two cases.
% 40.41/11.33 |-Branch one:
% 40.41/11.33 | (736) all_0_75_75 = e2
% 40.41/11.33 |
% 40.41/11.33 | Equations (736) can reduce 106 to:
% 40.41/11.33 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.33 |
% 40.41/11.33 | From (736) and (15) follows:
% 40.41/11.33 | (8383) op(e2, e3) = all_0_20_20
% 40.41/11.33 |
% 40.41/11.33 | From (736) and (163) follows:
% 40.41/11.33 | (8384) op(e2, e0) = all_0_23_23
% 40.41/11.33 |
% 40.41/11.33 | From (736) and (282) follows:
% 40.41/11.33 | (8385) op(e0, e2) = all_0_59_59
% 40.41/11.33 |
% 40.41/11.33 +-Applying beta-rule and splitting (34), into two cases.
% 40.41/11.33 |-Branch one:
% 40.41/11.33 | (447) all_0_87_87 = e3
% 40.41/11.33 |
% 40.41/11.33 | Equations (447) can reduce 191 to:
% 40.41/11.33 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.33 |
% 40.41/11.33 | Equations (447) can reduce 473 to:
% 40.41/11.33 | (215) ~ (e3 = e1)
% 40.41/11.33 |
% 40.41/11.33 | From (447) and (59) follows:
% 40.41/11.33 | (8387) op(e3, e3) = all_0_68_68
% 40.41/11.33 |
% 40.41/11.33 | From (447) and (158) follows:
% 40.41/11.33 | (4947) op(e3, e3) = all_0_23_23
% 40.41/11.33 |
% 40.41/11.33 +-Applying beta-rule and splitting (240), into two cases.
% 40.41/11.33 |-Branch one:
% 40.41/11.33 | (1073) all_0_84_84 = e3
% 40.41/11.33 |
% 40.41/11.33 | Equations (1073) can reduce 1059 to:
% 40.41/11.33 | (304) $false
% 40.41/11.33 |
% 40.41/11.33 |-The branch is then unsatisfiable
% 40.41/11.33 |-Branch two:
% 40.41/11.33 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.33 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.33 |
% 40.41/11.33 +-Applying beta-rule and splitting (883), into two cases.
% 40.41/11.33 |-Branch one:
% 40.41/11.33 | (884) all_0_73_73 = e2
% 40.41/11.33 |
% 40.41/11.33 | Equations (884) can reduce 888 to:
% 40.41/11.33 | (304) $false
% 40.41/11.33 |
% 40.41/11.33 |-The branch is then unsatisfiable
% 40.41/11.33 |-Branch two:
% 40.41/11.33 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.33 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.41/11.33 |
% 40.41/11.33 +-Applying beta-rule and splitting (1661), into two cases.
% 40.41/11.33 |-Branch one:
% 40.41/11.33 | (618) all_0_84_84 = e2
% 40.41/11.33 |
% 40.41/11.33 | From (618) and (49) follows:
% 40.41/11.33 | (8390) op(e2, e0) = all_0_59_59
% 40.41/11.33 |
% 40.41/11.33 | From (618) and (95) follows:
% 40.41/11.34 | (8391) op(e3, e2) = all_0_20_20
% 40.41/11.34 |
% 40.41/11.34 | From (618) and (290) follows:
% 40.41/11.34 | (8392) op(e0, e2) = all_0_68_68
% 40.41/11.34 |
% 40.41/11.34 +-Applying beta-rule and splitting (889), into two cases.
% 40.41/11.34 |-Branch one:
% 40.41/11.34 | (890) all_0_73_73 = e1
% 40.41/11.34 |
% 40.41/11.34 | Equations (890) can reduce 894 to:
% 40.41/11.34 | (304) $false
% 40.41/11.34 |
% 40.41/11.34 |-The branch is then unsatisfiable
% 40.41/11.34 |-Branch two:
% 40.41/11.34 | (894) ~ (all_0_73_73 = e1)
% 40.41/11.34 | (895) all_0_73_73 = e0
% 40.41/11.34 |
% 40.41/11.34 | From (895) and (254) follows:
% 40.41/11.34 | (8358) op(e0, e2) = all_0_13_13
% 40.41/11.34 |
% 40.41/11.34 | From (895) and (92) follows:
% 40.41/11.34 | (8359) op(e0, e1) = all_0_14_14
% 40.41/11.34 |
% 40.41/11.34 | From (895) and (63) follows:
% 40.41/11.34 | (8360) op(e1, e0) = all_0_41_41
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e3, all_0_16_16, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_16_16, yields:
% 40.41/11.34 | (3207) all_0_13_13 = all_0_16_16
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e3, all_0_23_23, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_23_23, yields:
% 40.41/11.34 | (3197) all_0_13_13 = all_0_23_23
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e3, all_0_28_28, all_0_13_13 and discharging atoms op(e3, e3) = all_0_13_13, op(e3, e3) = all_0_28_28, yields:
% 40.41/11.34 | (4591) all_0_13_13 = all_0_28_28
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e3, all_0_68_68, all_0_16_16 and discharging atoms op(e3, e3) = all_0_16_16, op(e3, e3) = all_0_68_68, yields:
% 40.41/11.34 | (8396) all_0_16_16 = all_0_68_68
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e2, all_0_20_20, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_20_20, yields:
% 40.41/11.34 | (4747) all_0_17_17 = all_0_20_20
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e2, all_0_29_29, all_0_17_17 and discharging atoms op(e3, e2) = all_0_17_17, op(e3, e2) = all_0_29_29, yields:
% 40.41/11.34 | (3184) all_0_17_17 = all_0_29_29
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e3, e2, all_0_41_41, all_0_20_20 and discharging atoms op(e3, e2) = all_0_20_20, op(e3, e2) = all_0_41_41, yields:
% 40.41/11.34 | (4996) all_0_20_20 = all_0_41_41
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e2, e3, all_0_26_26, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_26_26, yields:
% 40.41/11.34 | (8400) all_0_20_20 = all_0_26_26
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e2, e3, all_0_32_32, all_0_20_20 and discharging atoms op(e2, e3) = all_0_20_20, op(e2, e3) = all_0_32_32, yields:
% 40.41/11.34 | (8401) all_0_20_20 = all_0_32_32
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e2, e0, all_0_35_35, all_0_23_23 and discharging atoms op(e2, e0) = all_0_23_23, op(e2, e0) = all_0_35_35, yields:
% 40.41/11.34 | (8402) all_0_23_23 = all_0_35_35
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e2, e0, all_0_59_59, all_0_35_35 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_59_59, yields:
% 40.41/11.34 | (1603) all_0_35_35 = all_0_59_59
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e1, e0, all_0_44_44, e0 and discharging atoms op(e1, e0) = all_0_44_44, op(e1, e0) = e0, yields:
% 40.41/11.34 | (4751) all_0_44_44 = e0
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e1, e0, all_0_44_44, all_0_41_41 and discharging atoms op(e1, e0) = all_0_41_41, op(e1, e0) = all_0_44_44, yields:
% 40.41/11.34 | (4760) all_0_41_41 = all_0_44_44
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e0, e2, all_0_25_25, all_0_13_13 and discharging atoms op(e0, e2) = all_0_13_13, op(e0, e2) = all_0_25_25, yields:
% 40.41/11.34 | (549) all_0_13_13 = all_0_25_25
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e0, e2, all_0_65_65, e1 and discharging atoms op(e0, e2) = all_0_65_65, op(e0, e2) = e1, yields:
% 40.41/11.34 | (8407) all_0_65_65 = e1
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e0, e2, all_0_65_65, all_0_59_59 and discharging atoms op(e0, e2) = all_0_59_59, op(e0, e2) = all_0_65_65, yields:
% 40.41/11.34 | (8408) all_0_59_59 = all_0_65_65
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e0, e1, all_0_26_26, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_26_26, yields:
% 40.41/11.34 | (551) all_0_14_14 = all_0_26_26
% 40.41/11.34 |
% 40.41/11.34 | Instantiating formula (268) with e0, e1, all_0_54_54, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_54_54, yields:
% 40.41/11.34 | (8410) all_0_14_14 = all_0_54_54
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (3207,3197) yields a new equation:
% 40.41/11.34 | (8411) all_0_16_16 = all_0_23_23
% 40.41/11.34 |
% 40.41/11.34 | Simplifying 8411 yields:
% 40.41/11.34 | (3209) all_0_16_16 = all_0_23_23
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (4591,3197) yields a new equation:
% 40.41/11.34 | (8413) all_0_23_23 = all_0_28_28
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (549,3197) yields a new equation:
% 40.41/11.34 | (8414) all_0_23_23 = all_0_25_25
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (551,8410) yields a new equation:
% 40.41/11.34 | (8415) all_0_26_26 = all_0_54_54
% 40.41/11.34 |
% 40.41/11.34 | Simplifying 8415 yields:
% 40.41/11.34 | (8416) all_0_26_26 = all_0_54_54
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (3209,8396) yields a new equation:
% 40.41/11.34 | (8417) all_0_23_23 = all_0_68_68
% 40.41/11.34 |
% 40.41/11.34 | Simplifying 8417 yields:
% 40.41/11.34 | (6578) all_0_23_23 = all_0_68_68
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (4747,3184) yields a new equation:
% 40.41/11.34 | (8419) all_0_20_20 = all_0_29_29
% 40.41/11.34 |
% 40.41/11.34 | Simplifying 8419 yields:
% 40.41/11.34 | (8420) all_0_20_20 = all_0_29_29
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (8401,8420) yields a new equation:
% 40.41/11.34 | (3200) all_0_29_29 = all_0_32_32
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (8400,8420) yields a new equation:
% 40.41/11.34 | (8422) all_0_26_26 = all_0_29_29
% 40.41/11.34 |
% 40.41/11.34 | Simplifying 8422 yields:
% 40.41/11.34 | (8423) all_0_26_26 = all_0_29_29
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (4996,8420) yields a new equation:
% 40.41/11.34 | (3213) all_0_29_29 = all_0_41_41
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (8402,8414) yields a new equation:
% 40.41/11.34 | (4226) all_0_25_25 = all_0_35_35
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (8413,8414) yields a new equation:
% 40.41/11.34 | (5982) all_0_25_25 = all_0_28_28
% 40.41/11.34 |
% 40.41/11.34 | Combining equations (6578,8414) yields a new equation:
% 40.41/11.35 | (8427) all_0_25_25 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (4226,5982) yields a new equation:
% 40.41/11.35 | (8428) all_0_28_28 = all_0_35_35
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8427,5982) yields a new equation:
% 40.41/11.35 | (3183) all_0_28_28 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8423,8416) yields a new equation:
% 40.41/11.35 | (8430) all_0_29_29 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8430 yields:
% 40.41/11.35 | (8431) all_0_29_29 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8428,3183) yields a new equation:
% 40.41/11.35 | (8432) all_0_35_35 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8432 yields:
% 40.41/11.35 | (8433) all_0_35_35 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (3213,3200) yields a new equation:
% 40.41/11.35 | (3226) all_0_32_32 = all_0_41_41
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8431,3200) yields a new equation:
% 40.41/11.35 | (8435) all_0_32_32 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (3226,8435) yields a new equation:
% 40.41/11.35 | (8436) all_0_41_41 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8436 yields:
% 40.41/11.35 | (8437) all_0_41_41 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8433,1603) yields a new equation:
% 40.41/11.35 | (7786) all_0_59_59 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (4760,8437) yields a new equation:
% 40.41/11.35 | (8439) all_0_44_44 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8439 yields:
% 40.41/11.35 | (8440) all_0_44_44 = all_0_54_54
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8440,4751) yields a new equation:
% 40.41/11.35 | (8441) all_0_54_54 = e0
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8441 yields:
% 40.41/11.35 | (2226) all_0_54_54 = e0
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8408,7786) yields a new equation:
% 40.41/11.35 | (8443) all_0_65_65 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 8443 yields:
% 40.41/11.35 | (8444) all_0_65_65 = all_0_68_68
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8407,8444) yields a new equation:
% 40.41/11.35 | (8445) all_0_68_68 = e1
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (2226,8435) yields a new equation:
% 40.41/11.35 | (8446) all_0_32_32 = e0
% 40.41/11.35 |
% 40.41/11.35 | Combining equations (8446,3200) yields a new equation:
% 40.41/11.35 | (1193) all_0_29_29 = e0
% 40.41/11.35 |
% 40.41/11.35 | From (1193) and (7014) follows:
% 40.41/11.35 | (592) op(e0, e2) = e3
% 40.41/11.35 |
% 40.41/11.35 | From (8445) and (8392) follows:
% 40.41/11.35 | (6263) op(e0, e2) = e1
% 40.41/11.35 |
% 40.41/11.35 | Instantiating formula (268) with e0, e2, e3, e1 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e1, yields:
% 40.41/11.35 | (1017) e3 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (1017) can reduce 215 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (1050) ~ (all_0_84_84 = e2)
% 40.41/11.35 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (1673), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (1085) all_0_84_84 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (1085) can reduce 1675 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (1675) ~ (all_0_84_84 = e1)
% 40.41/11.35 | (1280) all_0_84_84 = e0
% 40.41/11.35 |
% 40.41/11.35 | Equations (1280) can reduce 1055 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (457) ~ (all_0_87_87 = e3)
% 40.41/11.35 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (240), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (1073) all_0_84_84 = e3
% 40.41/11.35 |
% 40.41/11.35 | Equations (1073) can reduce 1059 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.35 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (1661), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (618) all_0_84_84 = e2
% 40.41/11.35 |
% 40.41/11.35 | Equations (618) can reduce 191 to:
% 40.41/11.35 | (2525) ~ (all_0_87_87 = e2)
% 40.41/11.35 |
% 40.41/11.35 | Simplifying 2525 yields:
% 40.41/11.35 | (430) ~ (all_0_87_87 = e2)
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (627), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (416) all_0_87_87 = e2
% 40.41/11.35 |
% 40.41/11.35 | Equations (416) can reduce 430 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (430) ~ (all_0_87_87 = e2)
% 40.41/11.35 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (632), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (463) all_0_87_87 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (463) can reduce 473 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (473) ~ (all_0_87_87 = e1)
% 40.41/11.35 | (479) all_0_87_87 = e0
% 40.41/11.35 |
% 40.41/11.35 | Equations (479) can reduce 489 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (1050) ~ (all_0_84_84 = e2)
% 40.41/11.35 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (1673), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (1085) all_0_84_84 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (1085) can reduce 1675 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (1675) ~ (all_0_84_84 = e1)
% 40.41/11.35 | (1280) all_0_84_84 = e0
% 40.41/11.35 |
% 40.41/11.35 | Equations (1280) can reduce 1055 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (645) ~ (all_0_75_75 = e2)
% 40.41/11.35 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (739), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (740) all_0_75_75 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (740) can reduce 728 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (728) ~ (all_0_75_75 = e1)
% 40.41/11.35 | (743) all_0_75_75 = e0
% 40.41/11.35 |
% 40.41/11.35 | Equations (743) can reduce 1030 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (450) ~ (all_0_77_77 = e3)
% 40.41/11.35 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (1169), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (418) all_0_77_77 = e2
% 40.41/11.35 |
% 40.41/11.35 | Equations (418) can reduce 423 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (423) ~ (all_0_77_77 = e2)
% 40.41/11.35 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.41/11.35 |
% 40.41/11.35 +-Applying beta-rule and splitting (1176), into two cases.
% 40.41/11.35 |-Branch one:
% 40.41/11.35 | (465) all_0_77_77 = e1
% 40.41/11.35 |
% 40.41/11.35 | Equations (465) can reduce 466 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.35 |-Branch two:
% 40.41/11.35 | (466) ~ (all_0_77_77 = e1)
% 40.41/11.35 | (481) all_0_77_77 = e0
% 40.41/11.35 |
% 40.41/11.35 | Equations (481) can reduce 482 to:
% 40.41/11.35 | (304) $false
% 40.41/11.35 |
% 40.41/11.35 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (3098) ~ (all_0_6_6 = e1)
% 40.41/11.36 | (3099) all_0_6_6 = e0
% 40.41/11.36 |
% 40.41/11.36 | Equations (3099) can reduce 301 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (491) ~ (all_0_4_4 = e3)
% 40.41/11.36 | (492) all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 40.41/11.36 |
% 40.41/11.36 +-Applying beta-rule and splitting (306), into two cases.
% 40.41/11.36 |-Branch one:
% 40.41/11.36 | (307) all_0_6_6 = e2
% 40.41/11.36 |
% 40.41/11.36 | Equations (307) can reduce 300 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (300) ~ (all_0_6_6 = e2)
% 40.41/11.36 | (310) all_0_6_6 = e1 | all_0_6_6 = e0
% 40.41/11.36 |
% 40.41/11.36 +-Applying beta-rule and splitting (492), into two cases.
% 40.41/11.36 |-Branch one:
% 40.41/11.36 | (493) all_0_4_4 = e2
% 40.41/11.36 |
% 40.41/11.36 | Equations (493) can reduce 395 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (395) ~ (all_0_4_4 = e2)
% 40.41/11.36 | (496) all_0_4_4 = e1 | all_0_4_4 = e0
% 40.41/11.36 |
% 40.41/11.36 +-Applying beta-rule and splitting (310), into two cases.
% 40.41/11.36 |-Branch one:
% 40.41/11.36 | (311) all_0_6_6 = e1
% 40.41/11.36 |
% 40.41/11.36 | Equations (311) can reduce 212 to:
% 40.41/11.36 | (312) ~ (all_0_4_4 = e1)
% 40.41/11.36 |
% 40.41/11.36 +-Applying beta-rule and splitting (496), into two cases.
% 40.41/11.36 |-Branch one:
% 40.41/11.36 | (497) all_0_4_4 = e1
% 40.41/11.36 |
% 40.41/11.36 | Equations (497) can reduce 312 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (312) ~ (all_0_4_4 = e1)
% 40.41/11.36 | (500) all_0_4_4 = e0
% 40.41/11.36 |
% 40.41/11.36 | Equations (500) can reduce 360 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (3098) ~ (all_0_6_6 = e1)
% 40.41/11.36 | (3099) all_0_6_6 = e0
% 40.41/11.36 |
% 40.41/11.36 | Equations (3099) can reduce 301 to:
% 40.41/11.36 | (304) $false
% 40.41/11.36 |
% 40.41/11.36 |-The branch is then unsatisfiable
% 40.41/11.36 |-Branch two:
% 40.41/11.36 | (303) all_0_6_6 = e3
% 40.41/11.36 | (497) all_0_4_4 = e1
% 40.41/11.36 |
% 40.41/11.36 | Equations (497,303) can reduce 212 to:
% 40.41/11.36 | (1007) ~ (e3 = e1)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 1007 yields:
% 40.41/11.36 | (215) ~ (e3 = e1)
% 40.41/11.36 |
% 40.41/11.36 | From (497) and (289) follows:
% 40.41/11.36 | (1093) op(e3, e1) = unit
% 40.41/11.36 |
% 40.41/11.36 | From (303) and (114) follows:
% 40.41/11.36 | (2868) op(e1, e3) = unit
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e3, e1, unit, all_0_74_74 and discharging atoms op(e3, e1) = all_0_74_74, op(e3, e1) = unit, yields:
% 40.41/11.36 | (3132) all_0_74_74 = unit
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e1, e3, unit, all_0_80_80 and discharging atoms op(e1, e3) = all_0_80_80, op(e1, e3) = unit, yields:
% 40.41/11.36 | (3134) all_0_80_80 = unit
% 40.41/11.36 |
% 40.41/11.36 | Equations (3134) can reduce 292 to:
% 40.41/11.36 | (515) ~ (all_0_72_72 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3132) can reduce 199 to:
% 40.41/11.36 | (1725) ~ (all_0_73_73 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3132) can reduce 140 to:
% 40.41/11.36 | (518) ~ (all_0_75_75 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 518 yields:
% 40.41/11.36 | (519) ~ (all_0_75_75 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3132) can reduce 38 to:
% 40.41/11.36 | (526) ~ (all_0_78_78 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 526 yields:
% 40.41/11.36 | (527) ~ (all_0_78_78 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3132) can reduce 32 to:
% 40.41/11.36 | (1739) ~ (all_0_86_86 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 1739 yields:
% 40.41/11.36 | (365) ~ (all_0_86_86 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3134) can reduce 173 to:
% 40.41/11.36 | (1729) ~ (all_0_76_76 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3134) can reduce 242 to:
% 40.41/11.36 | (520) ~ (all_0_81_81 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 520 yields:
% 40.41/11.36 | (521) ~ (all_0_81_81 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3134) can reduce 217 to:
% 40.41/11.36 | (1727) ~ (all_0_83_83 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 1727 yields:
% 40.41/11.36 | (364) ~ (all_0_83_83 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Equations (3134) can reduce 279 to:
% 40.41/11.36 | (532) ~ (all_0_84_84 = unit)
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 532 yields:
% 40.41/11.36 | (533) ~ (all_0_84_84 = unit)
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (67) follows:
% 40.41/11.36 | (3151) op(unit, e3) = all_0_16_16
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (267) follows:
% 40.41/11.36 | (3152) op(unit, e2) = all_0_17_17
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (261) follows:
% 40.41/11.36 | (3153) op(unit, e1) = all_0_18_18
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (237) follows:
% 40.41/11.36 | (3154) op(unit, e0) = all_0_19_19
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (117) follows:
% 40.41/11.36 | (3159) op(unit, e3) = all_0_40_40
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (283) follows:
% 40.41/11.36 | (3160) op(unit, e2) = all_0_41_41
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (40) follows:
% 40.41/11.36 | (3161) op(unit, e1) = all_0_42_42
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (153) follows:
% 40.41/11.36 | (3162) op(unit, e0) = all_0_43_43
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (70) follows:
% 40.41/11.36 | (3166) op(e3, unit) = all_0_10_10
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (159) follows:
% 40.41/11.36 | (3168) op(e3, unit) = all_0_16_16
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (285) follows:
% 40.41/11.36 | (3170) op(e2, unit) = all_0_26_26
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (109) follows:
% 40.41/11.36 | (3172) op(e2, unit) = all_0_32_32
% 40.41/11.36 |
% 40.41/11.36 | From (3132) and (98) follows:
% 40.41/11.36 | (9550) op(e1, unit) = all_0_42_42
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (110) follows:
% 40.41/11.36 | (9551) op(e1, unit) = all_0_48_48
% 40.41/11.36 |
% 40.41/11.36 | From (3134) and (213) follows:
% 40.41/11.36 | (2868) op(e1, e3) = unit
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e3, all_0_40_40, all_0_16_16 and discharging atoms op(unit, e3) = all_0_16_16, op(unit, e3) = all_0_40_40, yields:
% 40.41/11.36 | (3181) all_0_16_16 = all_0_40_40
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e2, all_0_17_17, e2 and discharging atoms op(unit, e2) = all_0_17_17, op(unit, e2) = e2, yields:
% 40.41/11.36 | (1189) all_0_17_17 = e2
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e2, all_0_41_41, all_0_17_17 and discharging atoms op(unit, e2) = all_0_17_17, op(unit, e2) = all_0_41_41, yields:
% 40.41/11.36 | (3185) all_0_17_17 = all_0_41_41
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e1, all_0_18_18, e1 and discharging atoms op(unit, e1) = all_0_18_18, op(unit, e1) = e1, yields:
% 40.41/11.36 | (3252) all_0_18_18 = e1
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e1, all_0_42_42, all_0_18_18 and discharging atoms op(unit, e1) = all_0_18_18, op(unit, e1) = all_0_42_42, yields:
% 40.41/11.36 | (9557) all_0_18_18 = all_0_42_42
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e0, all_0_19_19, e0 and discharging atoms op(unit, e0) = all_0_19_19, op(unit, e0) = e0, yields:
% 40.41/11.36 | (3191) all_0_19_19 = e0
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with unit, e0, all_0_43_43, all_0_19_19 and discharging atoms op(unit, e0) = all_0_19_19, op(unit, e0) = all_0_43_43, yields:
% 40.41/11.36 | (9559) all_0_19_19 = all_0_43_43
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e3, unit, all_0_10_10, e3 and discharging atoms op(e3, unit) = all_0_10_10, op(e3, unit) = e3, yields:
% 40.41/11.36 | (3254) all_0_10_10 = e3
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e3, unit, all_0_16_16, all_0_10_10 and discharging atoms op(e3, unit) = all_0_10_10, op(e3, unit) = all_0_16_16, yields:
% 40.41/11.36 | (3196) all_0_10_10 = all_0_16_16
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e2, unit, all_0_26_26, e2 and discharging atoms op(e2, unit) = all_0_26_26, op(e2, unit) = e2, yields:
% 40.41/11.36 | (3251) all_0_26_26 = e2
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e2, unit, all_0_32_32, all_0_26_26 and discharging atoms op(e2, unit) = all_0_26_26, op(e2, unit) = all_0_32_32, yields:
% 40.41/11.36 | (3199) all_0_26_26 = all_0_32_32
% 40.41/11.36 |
% 40.41/11.36 | Instantiating formula (268) with e1, unit, all_0_48_48, all_0_42_42 and discharging atoms op(e1, unit) = all_0_42_42, op(e1, unit) = all_0_48_48, yields:
% 40.41/11.36 | (5016) all_0_42_42 = all_0_48_48
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3254,3196) yields a new equation:
% 40.41/11.36 | (3208) all_0_16_16 = e3
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3208,3181) yields a new equation:
% 40.41/11.36 | (3219) all_0_40_40 = e3
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (1189,3185) yields a new equation:
% 40.41/11.36 | (3233) all_0_41_41 = e2
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3252,9557) yields a new equation:
% 40.41/11.36 | (3228) all_0_42_42 = e1
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3191,9559) yields a new equation:
% 40.41/11.36 | (3230) all_0_43_43 = e0
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3251,3199) yields a new equation:
% 40.41/11.36 | (3198) all_0_32_32 = e2
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (5016,3228) yields a new equation:
% 40.41/11.36 | (9571) all_0_48_48 = e1
% 40.41/11.36 |
% 40.41/11.36 | Simplifying 9571 yields:
% 40.41/11.36 | (9572) all_0_48_48 = e1
% 40.41/11.36 |
% 40.41/11.36 | Combining equations (3198,3199) yields a new equation:
% 40.41/11.36 | (3251) all_0_26_26 = e2
% 40.41/11.36 |
% 40.41/11.37 | Combining equations (3230,9559) yields a new equation:
% 40.41/11.37 | (3191) all_0_19_19 = e0
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (3228,9557) yields a new equation:
% 40.41/11.37 | (3252) all_0_18_18 = e1
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (3233,3185) yields a new equation:
% 40.41/11.37 | (1189) all_0_17_17 = e2
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (3219,3181) yields a new equation:
% 40.41/11.37 | (3208) all_0_16_16 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (3208,3196) yields a new equation:
% 40.41/11.37 | (3254) all_0_10_10 = e3
% 40.41/11.37 |
% 40.41/11.37 | From (3254) and (35) follows:
% 40.41/11.37 | (3257) op(all_0_72_72, e1) = e3
% 40.41/11.37 |
% 40.41/11.37 | From (3251) and (192) follows:
% 40.41/11.37 | (3258) op(all_0_76_76, e1) = e2
% 40.41/11.37 |
% 40.41/11.37 | From (3198) and (79) follows:
% 40.41/11.37 | (9581) op(all_0_78_78, e3) = e2
% 40.41/11.37 |
% 40.41/11.37 | From (3219) and (3159) follows:
% 40.41/11.37 | (256) op(unit, e3) = e3
% 40.41/11.37 |
% 40.41/11.37 | From (1189) and (206) follows:
% 40.41/11.37 | (9583) op(e3, all_0_81_81) = e2
% 40.41/11.37 |
% 40.41/11.37 | From (3252) and (9) follows:
% 40.41/11.37 | (3264) op(e3, all_0_82_82) = e1
% 40.41/11.37 |
% 40.41/11.37 | From (3191) and (144) follows:
% 40.41/11.37 | (9585) op(e3, all_0_83_83) = e0
% 40.41/11.37 |
% 40.41/11.37 | From (3219) and (82) follows:
% 40.41/11.37 | (3266) op(e1, all_0_72_72) = e3
% 40.41/11.37 |
% 40.41/11.37 | From (9572) and (9551) follows:
% 40.41/11.37 | (39) op(e1, unit) = e1
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (27), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (575) ~ (all_0_2_2 = e1)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (275), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (574) ~ (all_0_2_2 = e0)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (143), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (1815) ~ (all_0_2_2 = e2)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (34), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (447) all_0_87_87 = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (447) can reduce 274 to:
% 40.41/11.37 | (718) ~ (all_0_75_75 = e3)
% 40.41/11.37 |
% 40.41/11.37 | Equations (447) can reduce 1742 to:
% 40.41/11.37 | (607) ~ (unit = e3)
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 607 yields:
% 40.41/11.37 | (406) ~ (unit = e3)
% 40.41/11.37 |
% 40.41/11.37 | From (447) and (8141) follows:
% 40.41/11.37 | (3497) op(e3, e2) = e0
% 40.41/11.37 |
% 40.41/11.37 | From (447) and (225) follows:
% 40.41/11.37 | (1861) op(e3, e0) = all_0_71_71
% 40.41/11.37 |
% 40.41/11.37 | From (447) and (8148) follows:
% 40.41/11.37 | (683) op(e2, e3) = e0
% 40.41/11.37 |
% 40.41/11.37 | From (447) and (55) follows:
% 40.41/11.37 | (1865) op(e0, e3) = all_0_71_71
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e3, e2, e0, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e0, yields:
% 40.41/11.37 | (895) all_0_73_73 = e0
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e3, e0, all_0_71_71, all_0_75_75 and discharging atoms op(e3, e0) = all_0_71_71, op(e3, e0) = all_0_75_75, yields:
% 40.41/11.37 | (9600) all_0_71_71 = all_0_75_75
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e2, e3, e0, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e0, yields:
% 40.41/11.37 | (798) all_0_76_76 = e0
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e0, e3, all_0_71_71, all_0_84_84 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_84_84, yields:
% 40.41/11.37 | (9602) all_0_71_71 = all_0_84_84
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (9602,9600) yields a new equation:
% 40.41/11.37 | (604) all_0_75_75 = all_0_84_84
% 40.41/11.37 |
% 40.41/11.37 | Equations (604) can reduce 519 to:
% 40.41/11.37 | (533) ~ (all_0_84_84 = unit)
% 40.41/11.37 |
% 40.41/11.37 | Equations (604) can reduce 718 to:
% 40.41/11.37 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.37 |
% 40.41/11.37 | Equations (798) can reduce 202 to:
% 40.41/11.37 | (3539) ~ (all_0_84_84 = e0)
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 3539 yields:
% 40.41/11.37 | (1055) ~ (all_0_84_84 = e0)
% 40.41/11.37 |
% 40.41/11.37 | Equations (798) can reduce 1729 to:
% 40.41/11.37 | (1031) ~ (unit = e0)
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 1031 yields:
% 40.41/11.37 | (402) ~ (unit = e0)
% 40.41/11.37 |
% 40.41/11.37 | From (895) and (92) follows:
% 40.41/11.37 | (8359) op(e0, e1) = all_0_14_14
% 40.41/11.37 |
% 40.41/11.37 | From (798) and (3258) follows:
% 40.41/11.37 | (5034) op(e0, e1) = e2
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e0, e1, all_0_14_14, all_0_86_86 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_86_86, yields:
% 40.41/11.37 | (9612) all_0_14_14 = all_0_86_86
% 40.41/11.37 |
% 40.41/11.37 | Instantiating formula (268) with e0, e1, e2, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = e2, yields:
% 40.41/11.37 | (9613) all_0_14_14 = e2
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (9612,9613) yields a new equation:
% 40.41/11.37 | (9614) all_0_86_86 = e2
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 9614 yields:
% 40.41/11.37 | (1129) all_0_86_86 = e2
% 40.41/11.37 |
% 40.41/11.37 | Equations (1129) can reduce 51 to:
% 40.41/11.37 | (1050) ~ (all_0_84_84 = e2)
% 40.41/11.37 |
% 40.41/11.37 | Equations (1129) can reduce 365 to:
% 40.41/11.37 | (621) ~ (unit = e2)
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 621 yields:
% 40.41/11.37 | (622) ~ (unit = e2)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (245), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (1015) all_0_80_80 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (1015,3134) yields a new equation:
% 40.41/11.37 | (409) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (409) can reduce 406 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (1250) ~ (all_0_80_80 = e3)
% 40.41/11.37 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 40.41/11.37 |
% 40.41/11.37 | Equations (3134) can reduce 1250 to:
% 40.41/11.37 | (406) ~ (unit = e3)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (184), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (598) all_0_79_79 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (8085,598) yields a new equation:
% 40.41/11.37 | (408) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 408 yields:
% 40.41/11.37 | (409) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (409) can reduce 406 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (659) ~ (all_0_79_79 = e3)
% 40.41/11.37 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 40.41/11.37 |
% 40.41/11.37 | Equations (8085) can reduce 659 to:
% 40.41/11.37 | (406) ~ (unit = e3)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (11), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (691) all_0_74_74 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (691,3132) yields a new equation:
% 40.41/11.37 | (409) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (409) can reduce 406 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (680) ~ (all_0_74_74 = e3)
% 40.41/11.37 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.41/11.37 |
% 40.41/11.37 | Equations (3132) can reduce 680 to:
% 40.41/11.37 | (406) ~ (unit = e3)
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (240), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (1073) all_0_84_84 = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (1073) can reduce 1059 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.37 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (74), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (679) all_0_75_75 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (604,679) yields a new equation:
% 40.41/11.37 | (1072) all_0_84_84 = e3
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 1072 yields:
% 40.41/11.37 | (1073) all_0_84_84 = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (1073) can reduce 1059 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (718) ~ (all_0_75_75 = e3)
% 40.41/11.37 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (23), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (600) all_0_85_85 = e3
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (8086,600) yields a new equation:
% 40.41/11.37 | (408) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Simplifying 408 yields:
% 40.41/11.37 | (409) unit = e3
% 40.41/11.37 |
% 40.41/11.37 | Equations (409) can reduce 406 to:
% 40.41/11.37 | (304) $false
% 40.41/11.37 |
% 40.41/11.37 |-The branch is then unsatisfiable
% 40.41/11.37 |-Branch two:
% 40.41/11.37 | (1436) ~ (all_0_85_85 = e3)
% 40.41/11.37 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.41/11.37 |
% 40.41/11.37 +-Applying beta-rule and splitting (1546), into two cases.
% 40.41/11.37 |-Branch one:
% 40.41/11.37 | (1558) all_0_85_85 = e2
% 40.41/11.37 |
% 40.41/11.37 | Combining equations (8086,1558) yields a new equation:
% 40.41/11.37 | (414) unit = e2
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 414 yields:
% 40.41/11.38 | (415) unit = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (415) can reduce 622 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1498) ~ (all_0_85_85 = e2)
% 40.41/11.38 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (8086) can reduce 1498 to:
% 40.41/11.38 | (622) ~ (unit = e2)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (694), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (699) all_0_74_74 = e2
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (699,3132) yields a new equation:
% 40.41/11.38 | (415) unit = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (415) can reduce 622 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (643) ~ (all_0_74_74 = e2)
% 40.41/11.38 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (3132) can reduce 643 to:
% 40.41/11.38 | (622) ~ (unit = e2)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (1251), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (843) all_0_80_80 = e2
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (843,3134) yields a new equation:
% 40.41/11.38 | (415) unit = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (415) can reduce 622 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1103) ~ (all_0_80_80 = e2)
% 40.41/11.38 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (719), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (736) all_0_75_75 = e2
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (604,736) yields a new equation:
% 40.41/11.38 | (617) all_0_84_84 = e2
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 617 yields:
% 40.41/11.38 | (618) all_0_84_84 = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (618) can reduce 1050 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (645) ~ (all_0_75_75 = e2)
% 40.41/11.38 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (739), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (740) all_0_75_75 = e1
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (604,740) yields a new equation:
% 40.41/11.38 | (1084) all_0_84_84 = e1
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 1084 yields:
% 40.41/11.38 | (1085) all_0_84_84 = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (1085) can reduce 533 to:
% 40.41/11.38 | (928) ~ (unit = e1)
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 928 yields:
% 40.41/11.38 | (404) ~ (unit = e1)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (1264), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (1013) all_0_80_80 = e1
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (1013,3134) yields a new equation:
% 40.41/11.38 | (436) unit = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (436) can reduce 404 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1087) ~ (all_0_80_80 = e1)
% 40.41/11.38 | (1268) all_0_80_80 = e0
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (1268,3134) yields a new equation:
% 40.41/11.38 | (441) unit = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (441) can reduce 402 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (728) ~ (all_0_75_75 = e1)
% 40.41/11.38 | (743) all_0_75_75 = e0
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (604,743) yields a new equation:
% 40.41/11.38 | (1279) all_0_84_84 = e0
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 1279 yields:
% 40.41/11.38 | (1280) all_0_84_84 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (1280) can reduce 1055 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (457) ~ (all_0_87_87 = e3)
% 40.41/11.38 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (119), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (409) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | From (409) and (39) follows:
% 40.41/11.38 | (1010) op(e1, e3) = e1
% 40.41/11.38 |
% 40.41/11.38 | From (409) and (2868) follows:
% 40.41/11.38 | (1009) op(e1, e3) = e3
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 40.41/11.38 | (1017) e3 = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (1017) can reduce 215 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (406) ~ (unit = e3)
% 40.41/11.38 | (871) unit = e2 | unit = e1 | unit = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (245), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (1015) all_0_80_80 = e3
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (3134,1015) yields a new equation:
% 40.41/11.38 | (408) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 408 yields:
% 40.41/11.38 | (409) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (409) can reduce 406 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1250) ~ (all_0_80_80 = e3)
% 40.41/11.38 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (3134) can reduce 1250 to:
% 40.41/11.38 | (406) ~ (unit = e3)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (23), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (600) all_0_85_85 = e3
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (600,8086) yields a new equation:
% 40.41/11.38 | (409) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (409) can reduce 406 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1436) ~ (all_0_85_85 = e3)
% 40.41/11.38 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (8086) can reduce 1436 to:
% 40.41/11.38 | (406) ~ (unit = e3)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (184), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (598) all_0_79_79 = e3
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (8085,598) yields a new equation:
% 40.41/11.38 | (408) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 408 yields:
% 40.41/11.38 | (409) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (409) can reduce 406 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (659) ~ (all_0_79_79 = e3)
% 40.41/11.38 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (230), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (403) ~ (all_0_72_72 = e1)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (24), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (407) all_0_72_72 = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (407) can reduce 515 to:
% 40.41/11.38 | (607) ~ (unit = e3)
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 607 yields:
% 40.41/11.38 | (406) ~ (unit = e3)
% 40.41/11.38 |
% 40.41/11.38 | From (407) and (3266) follows:
% 40.41/11.38 | (1009) op(e1, e3) = e3
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 40.41/11.38 | (409) unit = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (409) can reduce 406 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (405) ~ (all_0_72_72 = e3)
% 40.41/11.38 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (176), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (825) all_0_81_81 = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (825) can reduce 185 to:
% 40.41/11.38 | (882) ~ (all_0_73_73 = e3)
% 40.41/11.38 |
% 40.41/11.38 | From (825) and (127) follows:
% 40.41/11.38 | (9734) op(e3, e3) = all_0_44_44
% 40.41/11.38 |
% 40.41/11.38 | From (825) and (8139) follows:
% 40.41/11.38 | (1977) op(e3, e0) = e1
% 40.41/11.38 |
% 40.41/11.38 | From (825) and (9583) follows:
% 40.41/11.38 | (665) op(e3, e3) = e2
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e3, e3, all_0_44_44, all_0_72_72 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = all_0_72_72, yields:
% 40.41/11.38 | (9737) all_0_44_44 = all_0_72_72
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e3, e3, e2, all_0_44_44 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = e2, yields:
% 40.41/11.38 | (9738) all_0_44_44 = e2
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e3, e0, e1, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e1, yields:
% 40.41/11.38 | (740) all_0_75_75 = e1
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (9737,9738) yields a new equation:
% 40.41/11.38 | (9740) all_0_72_72 = e2
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 9740 yields:
% 40.41/11.38 | (413) all_0_72_72 = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (413) can reduce 17 to:
% 40.41/11.38 | (2797) ~ (all_0_73_73 = e2)
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 2797 yields:
% 40.41/11.38 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.38 |
% 40.41/11.38 | Equations (413) can reduce 515 to:
% 40.41/11.38 | (621) ~ (unit = e2)
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 621 yields:
% 40.41/11.38 | (622) ~ (unit = e2)
% 40.41/11.38 |
% 40.41/11.38 | Equations (740) can reduce 106 to:
% 40.41/11.38 | (894) ~ (all_0_73_73 = e1)
% 40.41/11.38 |
% 40.41/11.38 | Equations (740) can reduce 519 to:
% 40.41/11.38 | (928) ~ (unit = e1)
% 40.41/11.38 |
% 40.41/11.38 | Simplifying 928 yields:
% 40.41/11.38 | (404) ~ (unit = e1)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (871), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (415) unit = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (415) can reduce 622 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (622) ~ (unit = e2)
% 40.41/11.38 | (1271) unit = e1 | unit = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (1271), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (436) unit = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (436) can reduce 404 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (404) ~ (unit = e1)
% 40.41/11.38 | (441) unit = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (441) can reduce 1725 to:
% 40.41/11.38 | (1832) ~ (all_0_73_73 = e0)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (71), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (878) all_0_73_73 = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (878) can reduce 882 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (882) ~ (all_0_73_73 = e3)
% 40.41/11.38 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (883), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (884) all_0_73_73 = e2
% 40.41/11.38 |
% 40.41/11.38 | Equations (884) can reduce 888 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.38 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (889), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (890) all_0_73_73 = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (890) can reduce 894 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (894) ~ (all_0_73_73 = e1)
% 40.41/11.38 | (895) all_0_73_73 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (895) can reduce 1832 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (1120) ~ (all_0_81_81 = e3)
% 40.41/11.38 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (188), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (401) ~ (all_0_72_72 = e0)
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (412), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (413) all_0_72_72 = e2
% 40.41/11.38 |
% 40.41/11.38 | From (413) and (3266) follows:
% 40.41/11.38 | (817) op(e1, e2) = e3
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 40.41/11.38 | (825) all_0_81_81 = e3
% 40.41/11.38 |
% 40.41/11.38 | Equations (825) can reduce 1120 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (419) ~ (all_0_72_72 = e2)
% 40.41/11.38 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 40.41/11.38 |
% 40.41/11.38 +-Applying beta-rule and splitting (433), into two cases.
% 40.41/11.38 |-Branch one:
% 40.41/11.38 | (434) all_0_72_72 = e1
% 40.41/11.38 |
% 40.41/11.38 | Equations (434) can reduce 403 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (403) ~ (all_0_72_72 = e1)
% 40.41/11.38 | (439) all_0_72_72 = e0
% 40.41/11.38 |
% 40.41/11.38 | Equations (439) can reduce 401 to:
% 40.41/11.38 | (304) $false
% 40.41/11.38 |
% 40.41/11.38 |-The branch is then unsatisfiable
% 40.41/11.38 |-Branch two:
% 40.41/11.38 | (439) all_0_72_72 = e0
% 40.41/11.38 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.41/11.38 |
% 40.41/11.38 | From (439) and (4) follows:
% 40.41/11.38 | (591) op(e0, e3) = all_0_8_8
% 40.41/11.38 |
% 40.41/11.38 | From (439) and (128) follows:
% 40.41/11.38 | (593) op(e0, e0) = all_0_11_11
% 40.41/11.38 |
% 40.41/11.38 | From (439) and (196) follows:
% 40.41/11.38 | (596) op(e0, e0) = all_0_56_56
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 40.41/11.38 | (599) all_0_8_8 = all_0_84_84
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e0, e0, all_0_11_11, all_0_87_87 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_87_87, yields:
% 40.41/11.38 | (9791) all_0_11_11 = all_0_87_87
% 40.41/11.38 |
% 40.41/11.38 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 40.41/11.38 | (602) all_0_11_11 = all_0_56_56
% 40.41/11.38 |
% 40.41/11.38 | Combining equations (9791,602) yields a new equation:
% 40.41/11.38 | (9793) all_0_56_56 = all_0_87_87
% 40.41/11.38 |
% 40.41/11.38 | From (599) and (89) follows:
% 40.41/11.38 | (609) op(all_0_84_84, e3) = all_0_2_2
% 40.41/11.38 |
% 40.41/11.38 | From (9793) and (259) follows:
% 40.41/11.39 | (9795) op(all_0_84_84, e3) = all_0_87_87
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with all_0_84_84, e3, all_0_87_87, all_0_2_2 and discharging atoms op(all_0_84_84, e3) = all_0_2_2, op(all_0_84_84, e3) = all_0_87_87, yields:
% 40.41/11.39 | (9796) all_0_2_2 = all_0_87_87
% 40.41/11.39 |
% 40.41/11.39 | Equations (9796) can reduce 1815 to:
% 40.41/11.39 | (430) ~ (all_0_87_87 = e2)
% 40.41/11.39 |
% 40.41/11.39 | Equations (9796) can reduce 575 to:
% 40.41/11.39 | (473) ~ (all_0_87_87 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (9796) can reduce 574 to:
% 40.41/11.39 | (489) ~ (all_0_87_87 = e0)
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (627), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (416) all_0_87_87 = e2
% 40.41/11.39 |
% 40.41/11.39 | Equations (416) can reduce 430 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (430) ~ (all_0_87_87 = e2)
% 40.41/11.39 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (632), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (463) all_0_87_87 = e1
% 40.41/11.39 |
% 40.41/11.39 | Equations (463) can reduce 473 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (473) ~ (all_0_87_87 = e1)
% 40.41/11.39 | (479) all_0_87_87 = e0
% 40.41/11.39 |
% 40.41/11.39 | Equations (479) can reduce 489 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (434) all_0_72_72 = e1
% 40.41/11.39 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (434) can reduce 17 to:
% 40.41/11.39 | (9811) ~ (all_0_73_73 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 9811 yields:
% 40.41/11.39 | (894) ~ (all_0_73_73 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (434) can reduce 64 to:
% 40.41/11.39 | (9813) ~ (all_0_75_75 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 9813 yields:
% 40.41/11.39 | (728) ~ (all_0_75_75 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (434) can reduce 249 to:
% 40.41/11.39 | (3356) ~ (all_0_76_76 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 3356 yields:
% 40.41/11.39 | (797) ~ (all_0_76_76 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (434) can reduce 132 to:
% 40.41/11.39 | (3358) ~ (all_0_84_84 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 3358 yields:
% 40.41/11.39 | (1675) ~ (all_0_84_84 = e1)
% 40.41/11.39 |
% 40.41/11.39 | Equations (434) can reduce 515 to:
% 40.41/11.39 | (928) ~ (unit = e1)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 928 yields:
% 40.41/11.39 | (404) ~ (unit = e1)
% 40.41/11.39 |
% 40.41/11.39 | From (434) and (3266) follows:
% 40.41/11.39 | (3364) op(e1, e1) = e3
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 40.41/11.39 | (448) all_0_82_82 = e3
% 40.41/11.39 |
% 40.41/11.39 | From (448) and (263) follows:
% 40.41/11.39 | (3376) op(e3, e2) = all_0_49_49
% 40.41/11.39 |
% 40.41/11.39 | From (448) and (136) follows:
% 40.41/11.39 | (9824) op(e3, e0) = all_0_51_51
% 40.41/11.39 |
% 40.41/11.39 | From (448) and (112) follows:
% 40.41/11.39 | (3981) op(e2, e3) = all_0_34_34
% 40.41/11.39 |
% 40.41/11.39 | From (448) and (7) follows:
% 40.41/11.39 | (3382) op(e0, e3) = all_0_66_66
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e3, e2, all_0_49_49, all_0_73_73 and discharging atoms op(e3, e2) = all_0_49_49, op(e3, e2) = all_0_73_73, yields:
% 40.41/11.39 | (3383) all_0_49_49 = all_0_73_73
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e3, e0, all_0_51_51, all_0_75_75 and discharging atoms op(e3, e0) = all_0_51_51, op(e3, e0) = all_0_75_75, yields:
% 40.41/11.39 | (9828) all_0_51_51 = all_0_75_75
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e2, e3, all_0_34_34, all_0_76_76 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = all_0_76_76, yields:
% 40.41/11.39 | (3994) all_0_34_34 = all_0_76_76
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e0, e3, all_0_66_66, all_0_84_84 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = all_0_84_84, yields:
% 40.41/11.39 | (3385) all_0_66_66 = all_0_84_84
% 40.41/11.39 |
% 40.41/11.39 | From (3383) and (3376) follows:
% 40.41/11.39 | (262) op(e3, e2) = all_0_73_73
% 40.41/11.39 |
% 40.41/11.39 | From (9828) and (9824) follows:
% 40.41/11.39 | (139) op(e3, e0) = all_0_75_75
% 40.41/11.39 |
% 40.41/11.39 | From (3994) and (3981) follows:
% 40.41/11.39 | (208) op(e2, e3) = all_0_76_76
% 40.41/11.39 |
% 40.41/11.39 | From (3385) and (3382) follows:
% 40.41/11.39 | (194) op(e0, e3) = all_0_84_84
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (240), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (1073) all_0_84_84 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (1073) can reduce 202 to:
% 40.41/11.39 | (677) ~ (all_0_76_76 = e3)
% 40.41/11.39 |
% 40.41/11.39 | From (1073) and (8146) follows:
% 40.41/11.39 | (903) op(e2, e3) = e3
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 40.41/11.39 | (673) all_0_76_76 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (673) can reduce 677 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.39 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (19), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (673) all_0_76_76 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (673) can reduce 202 to:
% 40.41/11.39 | (4909) ~ (all_0_84_84 = e3)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 4909 yields:
% 40.41/11.39 | (1059) ~ (all_0_84_84 = e3)
% 40.41/11.39 |
% 40.41/11.39 | From (673) and (8151) follows:
% 40.41/11.39 | (1356) op(e0, e3) = e3
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 40.41/11.39 | (1073) all_0_84_84 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (1073) can reduce 1059 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (677) ~ (all_0_76_76 = e3)
% 40.41/11.39 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (71), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (878) all_0_73_73 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (878) can reduce 106 to:
% 40.41/11.39 | (4904) ~ (all_0_75_75 = e3)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 4904 yields:
% 40.41/11.39 | (718) ~ (all_0_75_75 = e3)
% 40.41/11.39 |
% 40.41/11.39 | From (878) and (8137) follows:
% 40.41/11.39 | (2905) op(e3, e0) = e3
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e3, e0, e3, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e3, yields:
% 40.41/11.39 | (679) all_0_75_75 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (679) can reduce 718 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (882) ~ (all_0_73_73 = e3)
% 40.41/11.39 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (74), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (679) all_0_75_75 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (679) can reduce 106 to:
% 40.41/11.39 | (882) ~ (all_0_73_73 = e3)
% 40.41/11.39 |
% 40.41/11.39 | From (679) and (8138) follows:
% 40.41/11.39 | (4893) op(e3, e2) = e3
% 40.41/11.39 |
% 40.41/11.39 | Instantiating formula (268) with e3, e2, e3, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e3, yields:
% 40.41/11.39 | (878) all_0_73_73 = e3
% 40.41/11.39 |
% 40.41/11.39 | Equations (878) can reduce 882 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (718) ~ (all_0_75_75 = e3)
% 40.41/11.39 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (871), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (415) unit = e2
% 40.41/11.39 |
% 40.41/11.39 | Equations (415) can reduce 1725 to:
% 40.41/11.39 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.39 |
% 40.41/11.39 | Equations (415) can reduce 519 to:
% 40.41/11.39 | (645) ~ (all_0_75_75 = e2)
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (883), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (884) all_0_73_73 = e2
% 40.41/11.39 |
% 40.41/11.39 | Equations (884) can reduce 888 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (888) ~ (all_0_73_73 = e2)
% 40.41/11.39 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.41/11.39 |
% 40.41/11.39 +-Applying beta-rule and splitting (889), into two cases.
% 40.41/11.39 |-Branch one:
% 40.41/11.39 | (890) all_0_73_73 = e1
% 40.41/11.39 |
% 40.41/11.39 | Equations (890) can reduce 894 to:
% 40.41/11.39 | (304) $false
% 40.41/11.39 |
% 40.41/11.39 |-The branch is then unsatisfiable
% 40.41/11.39 |-Branch two:
% 40.41/11.39 | (894) ~ (all_0_73_73 = e1)
% 40.41/11.39 | (895) all_0_73_73 = e0
% 40.41/11.39 |
% 40.41/11.39 | Equations (895) can reduce 106 to:
% 40.41/11.39 | (1029) ~ (all_0_75_75 = e0)
% 40.41/11.39 |
% 40.41/11.39 | Simplifying 1029 yields:
% 40.47/11.39 | (1030) ~ (all_0_75_75 = e0)
% 40.47/11.39 |
% 40.47/11.39 +-Applying beta-rule and splitting (719), into two cases.
% 40.47/11.39 |-Branch one:
% 40.47/11.39 | (736) all_0_75_75 = e2
% 40.47/11.39 |
% 40.47/11.39 | Equations (736) can reduce 645 to:
% 40.47/11.39 | (304) $false
% 40.47/11.39 |
% 40.47/11.39 |-The branch is then unsatisfiable
% 40.47/11.39 |-Branch two:
% 40.47/11.39 | (645) ~ (all_0_75_75 = e2)
% 40.47/11.39 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.39 |
% 40.47/11.39 +-Applying beta-rule and splitting (739), into two cases.
% 40.47/11.39 |-Branch one:
% 40.47/11.39 | (740) all_0_75_75 = e1
% 40.47/11.39 |
% 40.47/11.39 | Equations (740) can reduce 728 to:
% 40.47/11.39 | (304) $false
% 40.47/11.39 |
% 40.47/11.39 |-The branch is then unsatisfiable
% 40.47/11.39 |-Branch two:
% 40.47/11.39 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.39 | (743) all_0_75_75 = e0
% 40.47/11.39 |
% 40.47/11.39 | Equations (743) can reduce 1030 to:
% 40.47/11.39 | (304) $false
% 40.47/11.39 |
% 40.47/11.39 |-The branch is then unsatisfiable
% 40.47/11.39 |-Branch two:
% 40.47/11.39 | (622) ~ (unit = e2)
% 40.47/11.39 | (1271) unit = e1 | unit = e0
% 40.47/11.39 |
% 40.47/11.39 +-Applying beta-rule and splitting (1251), into two cases.
% 40.47/11.39 |-Branch one:
% 40.47/11.39 | (843) all_0_80_80 = e2
% 40.47/11.39 |
% 40.47/11.39 | Combining equations (3134,843) yields a new equation:
% 40.47/11.39 | (414) unit = e2
% 40.47/11.39 |
% 40.47/11.39 | Simplifying 414 yields:
% 40.47/11.39 | (415) unit = e2
% 40.47/11.39 |
% 40.47/11.39 | Equations (415) can reduce 622 to:
% 40.47/11.39 | (304) $false
% 40.47/11.39 |
% 40.47/11.39 |-The branch is then unsatisfiable
% 40.47/11.39 |-Branch two:
% 40.47/11.39 | (1103) ~ (all_0_80_80 = e2)
% 40.47/11.39 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 40.47/11.39 |
% 40.47/11.39 | Equations (3134) can reduce 1103 to:
% 40.47/11.39 | (622) ~ (unit = e2)
% 40.47/11.39 |
% 40.47/11.39 +-Applying beta-rule and splitting (1546), into two cases.
% 40.47/11.39 |-Branch one:
% 40.47/11.39 | (1558) all_0_85_85 = e2
% 40.47/11.39 |
% 40.47/11.39 | Combining equations (1558,8086) yields a new equation:
% 40.47/11.39 | (415) unit = e2
% 40.47/11.39 |
% 40.47/11.39 | Equations (415) can reduce 622 to:
% 40.47/11.39 | (304) $false
% 40.47/11.39 |
% 40.47/11.39 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1498) ~ (all_0_85_85 = e2)
% 40.47/11.40 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (8086) can reduce 1498 to:
% 40.47/11.40 | (622) ~ (unit = e2)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (735), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (687) all_0_79_79 = e2
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (8085,687) yields a new equation:
% 40.47/11.40 | (414) unit = e2
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 414 yields:
% 40.47/11.40 | (415) unit = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (415) can reduce 622 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (730) ~ (all_0_79_79 = e2)
% 40.47/11.40 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (749), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (750) all_0_79_79 = e1
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (8085,750) yields a new equation:
% 40.47/11.40 | (435) unit = e1
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 435 yields:
% 40.47/11.40 | (436) unit = e1
% 40.47/11.40 |
% 40.47/11.40 | Equations (436) can reduce 404 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (731) ~ (all_0_79_79 = e1)
% 40.47/11.40 | (753) all_0_79_79 = e0
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (8085,753) yields a new equation:
% 40.47/11.40 | (440) unit = e0
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 440 yields:
% 40.47/11.40 | (441) unit = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (441) can reduce 1729 to:
% 40.47/11.40 | (1836) ~ (all_0_76_76 = e0)
% 40.47/11.40 |
% 40.47/11.40 | Equations (441) can reduce 533 to:
% 40.47/11.40 | (1055) ~ (all_0_84_84 = e0)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (678), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (761) all_0_76_76 = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (761) can reduce 202 to:
% 40.47/11.40 | (6216) ~ (all_0_84_84 = e2)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 6216 yields:
% 40.47/11.40 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (1661), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (618) all_0_84_84 = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (618) can reduce 1050 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.40 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (1673), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (1085) all_0_84_84 = e1
% 40.47/11.40 |
% 40.47/11.40 | Equations (1085) can reduce 1675 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.40 | (1280) all_0_84_84 = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (1280) can reduce 1055 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (765) ~ (all_0_76_76 = e2)
% 40.47/11.40 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (766), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (781) all_0_76_76 = e1
% 40.47/11.40 |
% 40.47/11.40 | Equations (781) can reduce 797 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (797) ~ (all_0_76_76 = e1)
% 40.47/11.40 | (798) all_0_76_76 = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (798) can reduce 1836 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (2284) all_0_2_2 = e2
% 40.47/11.40 | (2290) ~ (all_0_8_8 = e1) | ~ (all_0_72_72 = e0)
% 40.47/11.40 |
% 40.47/11.40 | From (2284) and (89) follows:
% 40.47/11.40 | (2286) op(all_0_8_8, e3) = e2
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (93), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (1815) ~ (all_0_2_2 = e2)
% 40.47/11.40 |
% 40.47/11.40 | Equations (2284) can reduce 1815 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (2284) all_0_2_2 = e2
% 40.47/11.40 | (2285) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e1)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (34), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (447) all_0_87_87 = e3
% 40.47/11.40 |
% 40.47/11.40 | Equations (447) can reduce 274 to:
% 40.47/11.40 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.40 |
% 40.47/11.40 | Equations (447) can reduce 1742 to:
% 40.47/11.40 | (607) ~ (unit = e3)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 607 yields:
% 40.47/11.40 | (406) ~ (unit = e3)
% 40.47/11.40 |
% 40.47/11.40 | From (447) and (8141) follows:
% 40.47/11.40 | (3497) op(e3, e2) = e0
% 40.47/11.40 |
% 40.47/11.40 | From (447) and (225) follows:
% 40.47/11.40 | (1861) op(e3, e0) = all_0_71_71
% 40.47/11.40 |
% 40.47/11.40 | From (447) and (8148) follows:
% 40.47/11.40 | (683) op(e2, e3) = e0
% 40.47/11.40 |
% 40.47/11.40 | From (447) and (55) follows:
% 40.47/11.40 | (1865) op(e0, e3) = all_0_71_71
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e3, e2, e0, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e0, yields:
% 40.47/11.40 | (895) all_0_73_73 = e0
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e3, e0, all_0_71_71, all_0_75_75 and discharging atoms op(e3, e0) = all_0_71_71, op(e3, e0) = all_0_75_75, yields:
% 40.47/11.40 | (9600) all_0_71_71 = all_0_75_75
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e2, e3, e0, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e0, yields:
% 40.47/11.40 | (798) all_0_76_76 = e0
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e0, e3, all_0_71_71, all_0_84_84 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = all_0_84_84, yields:
% 40.47/11.40 | (9602) all_0_71_71 = all_0_84_84
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (9602,9600) yields a new equation:
% 40.47/11.40 | (604) all_0_75_75 = all_0_84_84
% 40.47/11.40 |
% 40.47/11.40 | Equations (604) can reduce 519 to:
% 40.47/11.40 | (533) ~ (all_0_84_84 = unit)
% 40.47/11.40 |
% 40.47/11.40 | Equations (604) can reduce 718 to:
% 40.47/11.40 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.40 |
% 40.47/11.40 | Equations (798) can reduce 202 to:
% 40.47/11.40 | (3539) ~ (all_0_84_84 = e0)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 3539 yields:
% 40.47/11.40 | (1055) ~ (all_0_84_84 = e0)
% 40.47/11.40 |
% 40.47/11.40 | Equations (798) can reduce 1729 to:
% 40.47/11.40 | (1031) ~ (unit = e0)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 1031 yields:
% 40.47/11.40 | (402) ~ (unit = e0)
% 40.47/11.40 |
% 40.47/11.40 | From (895) and (92) follows:
% 40.47/11.40 | (8359) op(e0, e1) = all_0_14_14
% 40.47/11.40 |
% 40.47/11.40 | From (798) and (3258) follows:
% 40.47/11.40 | (5034) op(e0, e1) = e2
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e0, e1, all_0_14_14, all_0_86_86 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = all_0_86_86, yields:
% 40.47/11.40 | (9612) all_0_14_14 = all_0_86_86
% 40.47/11.40 |
% 40.47/11.40 | Instantiating formula (268) with e0, e1, e2, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = e2, yields:
% 40.47/11.40 | (9613) all_0_14_14 = e2
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (9612,9613) yields a new equation:
% 40.47/11.40 | (9614) all_0_86_86 = e2
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 9614 yields:
% 40.47/11.40 | (1129) all_0_86_86 = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (1129) can reduce 51 to:
% 40.47/11.40 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.40 |
% 40.47/11.40 | Equations (1129) can reduce 365 to:
% 40.47/11.40 | (621) ~ (unit = e2)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 621 yields:
% 40.47/11.40 | (622) ~ (unit = e2)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (74), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (679) all_0_75_75 = e3
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (604,679) yields a new equation:
% 40.47/11.40 | (1072) all_0_84_84 = e3
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 1072 yields:
% 40.47/11.40 | (1073) all_0_84_84 = e3
% 40.47/11.40 |
% 40.47/11.40 | Equations (1073) can reduce 1059 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.40 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (604) can reduce 718 to:
% 40.47/11.40 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (240), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (1073) all_0_84_84 = e3
% 40.47/11.40 |
% 40.47/11.40 | Equations (1073) can reduce 1059 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.40 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (11), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (691) all_0_74_74 = e3
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (691,3132) yields a new equation:
% 40.47/11.40 | (409) unit = e3
% 40.47/11.40 |
% 40.47/11.40 | Equations (409) can reduce 406 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (680) ~ (all_0_74_74 = e3)
% 40.47/11.40 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (1661), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (618) all_0_84_84 = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (618) can reduce 1050 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.40 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (694), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (699) all_0_74_74 = e2
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (699,3132) yields a new equation:
% 40.47/11.40 | (415) unit = e2
% 40.47/11.40 |
% 40.47/11.40 | Equations (415) can reduce 622 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (643) ~ (all_0_74_74 = e2)
% 40.47/11.40 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (702), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (707) all_0_74_74 = e1
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (707,3132) yields a new equation:
% 40.47/11.40 | (436) unit = e1
% 40.47/11.40 |
% 40.47/11.40 | Equations (436) can reduce 533 to:
% 40.47/11.40 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (1673), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (1085) all_0_84_84 = e1
% 40.47/11.40 |
% 40.47/11.40 | Equations (1085) can reduce 1675 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.40 | (1280) all_0_84_84 = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (1280) can reduce 1055 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (715) ~ (all_0_74_74 = e1)
% 40.47/11.40 | (716) all_0_74_74 = e0
% 40.47/11.40 |
% 40.47/11.40 | Combining equations (716,3132) yields a new equation:
% 40.47/11.40 | (441) unit = e0
% 40.47/11.40 |
% 40.47/11.40 | Equations (441) can reduce 402 to:
% 40.47/11.40 | (304) $false
% 40.47/11.40 |
% 40.47/11.40 |-The branch is then unsatisfiable
% 40.47/11.40 |-Branch two:
% 40.47/11.40 | (457) ~ (all_0_87_87 = e3)
% 40.47/11.40 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.47/11.40 |
% 40.47/11.40 +-Applying beta-rule and splitting (151), into two cases.
% 40.47/11.40 |-Branch one:
% 40.47/11.40 | (1110) all_0_83_83 = e3
% 40.47/11.40 |
% 40.47/11.40 | Equations (1110) can reduce 88 to:
% 40.47/11.40 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.40 |
% 40.47/11.40 | Equations (1110) can reduce 364 to:
% 40.47/11.40 | (607) ~ (unit = e3)
% 40.47/11.40 |
% 40.47/11.40 | Simplifying 607 yields:
% 40.47/11.40 | (406) ~ (unit = e3)
% 40.47/11.40 |
% 40.47/11.40 | From (1110) and (193) follows:
% 40.47/11.41 | (3733) op(e3, e3) = all_0_52_52
% 40.47/11.41 |
% 40.47/11.41 | From (1110) and (8140) follows:
% 40.47/11.41 | (10016) op(e3, e2) = e1
% 40.47/11.41 |
% 40.47/11.41 | From (1110) and (9585) follows:
% 40.47/11.41 | (1864) op(e3, e3) = e0
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e3, e3, all_0_52_52, all_0_72_72 and discharging atoms op(e3, e3) = all_0_52_52, op(e3, e3) = all_0_72_72, yields:
% 40.47/11.41 | (10018) all_0_52_52 = all_0_72_72
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e3, e3, e0, all_0_52_52 and discharging atoms op(e3, e3) = all_0_52_52, op(e3, e3) = e0, yields:
% 40.47/11.41 | (3852) all_0_52_52 = e0
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e3, e2, e1, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e1, yields:
% 40.47/11.41 | (890) all_0_73_73 = e1
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (10018,3852) yields a new equation:
% 40.47/11.41 | (10021) all_0_72_72 = e0
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 10021 yields:
% 40.47/11.41 | (439) all_0_72_72 = e0
% 40.47/11.41 |
% 40.47/11.41 | Equations (439) can reduce 64 to:
% 40.47/11.41 | (1029) ~ (all_0_75_75 = e0)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 1029 yields:
% 40.47/11.41 | (1030) ~ (all_0_75_75 = e0)
% 40.47/11.41 |
% 40.47/11.41 | Equations (439) can reduce 515 to:
% 40.47/11.41 | (1031) ~ (unit = e0)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 1031 yields:
% 40.47/11.41 | (402) ~ (unit = e0)
% 40.47/11.41 |
% 40.47/11.41 | Equations (890) can reduce 106 to:
% 40.47/11.41 | (9813) ~ (all_0_75_75 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 9813 yields:
% 40.47/11.41 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Equations (890) can reduce 1725 to:
% 40.47/11.41 | (928) ~ (unit = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 928 yields:
% 40.47/11.41 | (404) ~ (unit = e1)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (74), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (679) all_0_75_75 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (679) can reduce 718 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.41 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (11), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (691) all_0_74_74 = e3
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (3132,691) yields a new equation:
% 40.47/11.41 | (408) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 408 yields:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (409) can reduce 406 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (680) ~ (all_0_74_74 = e3)
% 40.47/11.41 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (719), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (736) all_0_75_75 = e2
% 40.47/11.41 |
% 40.47/11.41 | Equations (736) can reduce 519 to:
% 40.47/11.41 | (621) ~ (unit = e2)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 621 yields:
% 40.47/11.41 | (622) ~ (unit = e2)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (694), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (699) all_0_74_74 = e2
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (699,3132) yields a new equation:
% 40.47/11.41 | (415) unit = e2
% 40.47/11.41 |
% 40.47/11.41 | Equations (415) can reduce 622 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (643) ~ (all_0_74_74 = e2)
% 40.47/11.41 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (702), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (707) all_0_74_74 = e1
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (707,3132) yields a new equation:
% 40.47/11.41 | (436) unit = e1
% 40.47/11.41 |
% 40.47/11.41 | Equations (436) can reduce 404 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (715) ~ (all_0_74_74 = e1)
% 40.47/11.41 | (716) all_0_74_74 = e0
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (716,3132) yields a new equation:
% 40.47/11.41 | (441) unit = e0
% 40.47/11.41 |
% 40.47/11.41 | Equations (441) can reduce 402 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (645) ~ (all_0_75_75 = e2)
% 40.47/11.41 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (739), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (740) all_0_75_75 = e1
% 40.47/11.41 |
% 40.47/11.41 | Equations (740) can reduce 728 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.41 | (743) all_0_75_75 = e0
% 40.47/11.41 |
% 40.47/11.41 | Equations (743) can reduce 1030 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (1058) ~ (all_0_83_83 = e3)
% 40.47/11.41 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (71), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (878) all_0_73_73 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (878) can reduce 106 to:
% 40.47/11.41 | (4904) ~ (all_0_75_75 = e3)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 4904 yields:
% 40.47/11.41 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.41 |
% 40.47/11.41 | From (878) and (8137) follows:
% 40.47/11.41 | (2905) op(e3, e0) = e3
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e3, e0, e3, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e3, yields:
% 40.47/11.41 | (679) all_0_75_75 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (679) can reduce 718 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (882) ~ (all_0_73_73 = e3)
% 40.47/11.41 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (23), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (600) all_0_85_85 = e3
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (600,8086) yields a new equation:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | From (409) and (39) follows:
% 40.47/11.41 | (1010) op(e1, e3) = e1
% 40.47/11.41 |
% 40.47/11.41 | From (409) and (2868) follows:
% 40.47/11.41 | (1009) op(e1, e3) = e3
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 40.47/11.41 | (1017) e3 = e1
% 40.47/11.41 |
% 40.47/11.41 | Equations (1017) can reduce 215 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (1436) ~ (all_0_85_85 = e3)
% 40.47/11.41 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.47/11.41 |
% 40.47/11.41 | Equations (8086) can reduce 1436 to:
% 40.47/11.41 | (406) ~ (unit = e3)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (11), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (691) all_0_74_74 = e3
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (691,3132) yields a new equation:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (409) can reduce 406 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (680) ~ (all_0_74_74 = e3)
% 40.47/11.41 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.41 |
% 40.47/11.41 | Equations (3132) can reduce 680 to:
% 40.47/11.41 | (406) ~ (unit = e3)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (119), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (409) can reduce 406 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (406) ~ (unit = e3)
% 40.47/11.41 | (871) unit = e2 | unit = e1 | unit = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (184), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (598) all_0_79_79 = e3
% 40.47/11.41 |
% 40.47/11.41 | Combining equations (8085,598) yields a new equation:
% 40.47/11.41 | (408) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 408 yields:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (409) can reduce 406 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (659) ~ (all_0_79_79 = e3)
% 40.47/11.41 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (147), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (419) ~ (all_0_72_72 = e2)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (24), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (407) all_0_72_72 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (407) can reduce 515 to:
% 40.47/11.41 | (607) ~ (unit = e3)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 607 yields:
% 40.47/11.41 | (406) ~ (unit = e3)
% 40.47/11.41 |
% 40.47/11.41 | From (407) and (3266) follows:
% 40.47/11.41 | (1009) op(e1, e3) = e3
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 40.47/11.41 | (409) unit = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (409) can reduce 406 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (405) ~ (all_0_72_72 = e3)
% 40.47/11.41 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (230), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (403) ~ (all_0_72_72 = e1)
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (412), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (413) all_0_72_72 = e2
% 40.47/11.41 |
% 40.47/11.41 | Equations (413) can reduce 419 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (419) ~ (all_0_72_72 = e2)
% 40.47/11.41 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (433), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (434) all_0_72_72 = e1
% 40.47/11.41 |
% 40.47/11.41 | Equations (434) can reduce 403 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (403) ~ (all_0_72_72 = e1)
% 40.47/11.41 | (439) all_0_72_72 = e0
% 40.47/11.41 |
% 40.47/11.41 | From (439) and (3266) follows:
% 40.47/11.41 | (2202) op(e1, e0) = e3
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 40.47/11.41 | (1110) all_0_83_83 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (1110) can reduce 1058 to:
% 40.47/11.41 | (304) $false
% 40.47/11.41 |
% 40.47/11.41 |-The branch is then unsatisfiable
% 40.47/11.41 |-Branch two:
% 40.47/11.41 | (434) all_0_72_72 = e1
% 40.47/11.41 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Equations (434) can reduce 17 to:
% 40.47/11.41 | (9811) ~ (all_0_73_73 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 9811 yields:
% 40.47/11.41 | (894) ~ (all_0_73_73 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Equations (434) can reduce 64 to:
% 40.47/11.41 | (9813) ~ (all_0_75_75 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 9813 yields:
% 40.47/11.41 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Equations (434) can reduce 249 to:
% 40.47/11.41 | (3356) ~ (all_0_76_76 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 3356 yields:
% 40.47/11.41 | (797) ~ (all_0_76_76 = e1)
% 40.47/11.41 |
% 40.47/11.41 | Equations (434) can reduce 515 to:
% 40.47/11.41 | (928) ~ (unit = e1)
% 40.47/11.41 |
% 40.47/11.41 | Simplifying 928 yields:
% 40.47/11.41 | (404) ~ (unit = e1)
% 40.47/11.41 |
% 40.47/11.41 | From (434) and (4) follows:
% 40.47/11.41 | (816) op(e1, e3) = all_0_8_8
% 40.47/11.41 |
% 40.47/11.41 | From (434) and (3266) follows:
% 40.47/11.41 | (3364) op(e1, e1) = e3
% 40.47/11.41 |
% 40.47/11.41 +-Applying beta-rule and splitting (2285), into two cases.
% 40.47/11.41 |-Branch one:
% 40.47/11.41 | (959) ~ (all_0_8_8 = e0)
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 40.47/11.41 | (652) all_0_8_8 = unit
% 40.47/11.41 |
% 40.47/11.41 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 40.47/11.41 | (448) all_0_82_82 = e3
% 40.47/11.41 |
% 40.47/11.41 | Equations (652) can reduce 959 to:
% 40.47/11.41 | (402) ~ (unit = e0)
% 40.47/11.41 |
% 40.47/11.41 | Equations (448) can reduce 276 to:
% 40.47/11.41 | (1120) ~ (all_0_81_81 = e3)
% 40.47/11.41 |
% 40.47/11.41 | From (448) and (154) follows:
% 40.47/11.41 | (3380) op(e1, e3) = all_0_50_50
% 40.47/11.41 |
% 40.47/11.41 | From (448) and (7) follows:
% 40.47/11.42 | (3382) op(e0, e3) = all_0_66_66
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (871), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (415) unit = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 1725 to:
% 40.47/11.42 | (888) ~ (all_0_73_73 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 519 to:
% 40.47/11.42 | (645) ~ (all_0_75_75 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 1729 to:
% 40.47/11.42 | (765) ~ (all_0_76_76 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 525 to:
% 40.47/11.42 | (423) ~ (all_0_77_77 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 527 to:
% 40.47/11.42 | (689) ~ (all_0_78_78 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 521 to:
% 40.47/11.42 | (1104) ~ (all_0_81_81 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 364 to:
% 40.47/11.42 | (1105) ~ (all_0_83_83 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 533 to:
% 40.47/11.42 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 365 to:
% 40.47/11.42 | (1106) ~ (all_0_86_86 = e2)
% 40.47/11.42 |
% 40.47/11.42 | Equations (415) can reduce 1742 to:
% 40.47/11.42 | (430) ~ (all_0_87_87 = e2)
% 40.47/11.42 |
% 40.47/11.42 | From (415) and (8084) follows:
% 40.47/11.42 | (4183) op(e0, e2) = e2
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (883), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (884) all_0_73_73 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (884) can reduce 888 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (888) ~ (all_0_73_73 = e2)
% 40.47/11.42 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (889), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (890) all_0_73_73 = e1
% 40.47/11.42 |
% 40.47/11.42 | Equations (890) can reduce 894 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (894) ~ (all_0_73_73 = e1)
% 40.47/11.42 | (895) all_0_73_73 = e0
% 40.47/11.42 |
% 40.47/11.42 | Equations (895) can reduce 106 to:
% 40.47/11.42 | (1029) ~ (all_0_75_75 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 1029 yields:
% 40.47/11.42 | (1030) ~ (all_0_75_75 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Equations (895) can reduce 66 to:
% 40.47/11.42 | (8497) ~ (all_0_77_77 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 8497 yields:
% 40.47/11.42 | (482) ~ (all_0_77_77 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Equations (895) can reduce 185 to:
% 40.47/11.42 | (10162) ~ (all_0_81_81 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 10162 yields:
% 40.47/11.42 | (1137) ~ (all_0_81_81 = e0)
% 40.47/11.42 |
% 40.47/11.42 | From (895) and (295) follows:
% 40.47/11.42 | (4109) op(e0, e3) = all_0_12_12
% 40.47/11.42 |
% 40.47/11.42 | From (895) and (254) follows:
% 40.47/11.42 | (8358) op(e0, e2) = all_0_13_13
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (176), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (825) all_0_81_81 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (825) can reduce 1120 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (1120) ~ (all_0_81_81 = e3)
% 40.47/11.42 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (74), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (679) all_0_75_75 = e3
% 40.47/11.42 |
% 40.47/11.42 | From (679) and (163) follows:
% 40.47/11.42 | (10171) op(e3, e0) = all_0_23_23
% 40.47/11.42 |
% 40.47/11.42 | From (679) and (282) follows:
% 40.47/11.42 | (1522) op(e0, e3) = all_0_59_59
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (1142), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1155) all_0_81_81 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (1155) can reduce 1104 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (1104) ~ (all_0_81_81 = e2)
% 40.47/11.42 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (1158), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1163) all_0_81_81 = e1
% 40.47/11.42 |
% 40.47/11.42 | Equations (1163) can reduce 126 to:
% 40.47/11.42 | (466) ~ (all_0_77_77 = e1)
% 40.47/11.42 |
% 40.47/11.42 | Equations (1163) can reduce 189 to:
% 40.47/11.42 | (1915) ~ (all_0_83_83 = e1)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 1915 yields:
% 40.47/11.42 | (1088) ~ (all_0_83_83 = e1)
% 40.47/11.42 |
% 40.47/11.42 | From (1163) and (127) follows:
% 40.47/11.42 | (4922) op(e1, e3) = all_0_44_44
% 40.47/11.42 |
% 40.47/11.42 | From (1163) and (116) follows:
% 40.47/11.42 | (10182) op(e1, e2) = all_0_45_45
% 40.47/11.42 |
% 40.47/11.42 | From (1163) and (164) follows:
% 40.47/11.42 | (1165) op(e0, e1) = all_0_65_65
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (94), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (449) all_0_77_77 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (449) can reduce 96 to:
% 40.47/11.42 | (677) ~ (all_0_76_76 = e3)
% 40.47/11.42 |
% 40.47/11.42 | Equations (449) can reduce 198 to:
% 40.47/11.42 | (656) ~ (all_0_78_78 = e3)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 656 yields:
% 40.47/11.42 | (657) ~ (all_0_78_78 = e3)
% 40.47/11.42 |
% 40.47/11.42 | From (449) and (47) follows:
% 40.47/11.42 | (966) op(e1, e3) = all_0_45_45
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (19), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (673) all_0_76_76 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (673) can reduce 677 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (677) ~ (all_0_76_76 = e3)
% 40.47/11.42 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (1113), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1125) all_0_83_83 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (1125) can reduce 1105 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (1105) ~ (all_0_83_83 = e2)
% 40.47/11.42 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (1128), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1133) all_0_83_83 = e1
% 40.47/11.42 |
% 40.47/11.42 | Equations (1133) can reduce 1088 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (1088) ~ (all_0_83_83 = e1)
% 40.47/11.42 | (1136) all_0_83_83 = e0
% 40.47/11.42 |
% 40.47/11.42 | Equations (1136) can reduce 182 to:
% 40.47/11.42 | (4646) ~ (all_0_87_87 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 4646 yields:
% 40.47/11.42 | (489) ~ (all_0_87_87 = e0)
% 40.47/11.42 |
% 40.47/11.42 | From (1136) and (193) follows:
% 40.47/11.42 | (10203) op(e0, e3) = all_0_52_52
% 40.47/11.42 |
% 40.47/11.42 | From (1136) and (271) follows:
% 40.47/11.42 | (10204) op(e1, e0) = all_0_51_51
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (678), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (761) all_0_76_76 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (761) can reduce 765 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (765) ~ (all_0_76_76 = e2)
% 40.47/11.42 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (627), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (416) all_0_87_87 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (416) can reduce 430 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (430) ~ (all_0_87_87 = e2)
% 40.47/11.42 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (766), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (781) all_0_76_76 = e1
% 40.47/11.42 |
% 40.47/11.42 | Equations (781) can reduce 797 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (797) ~ (all_0_76_76 = e1)
% 40.47/11.42 | (798) all_0_76_76 = e0
% 40.47/11.42 |
% 40.47/11.42 | Equations (798) can reduce 204 to:
% 40.47/11.42 | (790) ~ (all_0_78_78 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 790 yields:
% 40.47/11.42 | (690) ~ (all_0_78_78 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Equations (798) can reduce 202 to:
% 40.47/11.42 | (3539) ~ (all_0_84_84 = e0)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 3539 yields:
% 40.47/11.42 | (1055) ~ (all_0_84_84 = e0)
% 40.47/11.42 |
% 40.47/11.42 | From (798) and (273) follows:
% 40.47/11.42 | (4111) op(e3, e0) = all_0_12_12
% 40.47/11.42 |
% 40.47/11.42 | From (798) and (145) follows:
% 40.47/11.42 | (8377) op(e1, e0) = all_0_44_44
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (50), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (695) all_0_78_78 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (695) can reduce 657 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (657) ~ (all_0_78_78 = e3)
% 40.47/11.42 | (698) all_0_78_78 = e2 | all_0_78_78 = e1 | all_0_78_78 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (240), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1073) all_0_84_84 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (1073) can reduce 51 to:
% 40.47/11.42 | (1060) ~ (all_0_86_86 = e3)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 1060 yields:
% 40.47/11.42 | (1061) ~ (all_0_86_86 = e3)
% 40.47/11.42 |
% 40.47/11.42 | From (1073) and (49) follows:
% 40.47/11.42 | (1510) op(e3, e0) = all_0_59_59
% 40.47/11.42 |
% 40.47/11.42 | From (1073) and (251) follows:
% 40.47/11.42 | (10231) op(e1, e3) = all_0_52_52
% 40.47/11.42 |
% 40.47/11.42 | From (1073) and (290) follows:
% 40.47/11.42 | (10232) op(e0, e3) = all_0_68_68
% 40.47/11.42 |
% 40.47/11.42 | From (1073) and (194) follows:
% 40.47/11.42 | (1356) op(e0, e3) = e3
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (698), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (703) all_0_78_78 = e2
% 40.47/11.42 |
% 40.47/11.42 | Equations (703) can reduce 689 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (689) ~ (all_0_78_78 = e2)
% 40.47/11.42 | (706) all_0_78_78 = e1 | all_0_78_78 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (632), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (463) all_0_87_87 = e1
% 40.47/11.42 |
% 40.47/11.42 | From (463) and (59) follows:
% 40.47/11.42 | (10239) op(e1, e3) = all_0_68_68
% 40.47/11.42 |
% 40.47/11.42 | From (463) and (8141) follows:
% 40.47/11.42 | (3752) op(e1, e2) = e0
% 40.47/11.42 |
% 40.47/11.42 | From (463) and (55) follows:
% 40.47/11.42 | (2556) op(e0, e1) = all_0_71_71
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (123), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (1114) all_0_86_86 = e3
% 40.47/11.42 |
% 40.47/11.42 | Equations (1114) can reduce 1061 to:
% 40.47/11.42 | (304) $false
% 40.47/11.42 |
% 40.47/11.42 |-The branch is then unsatisfiable
% 40.47/11.42 |-Branch two:
% 40.47/11.42 | (1061) ~ (all_0_86_86 = e3)
% 40.47/11.42 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 40.47/11.42 |
% 40.47/11.42 +-Applying beta-rule and splitting (706), into two cases.
% 40.47/11.42 |-Branch one:
% 40.47/11.42 | (710) all_0_78_78 = e1
% 40.47/11.42 |
% 40.47/11.42 | Equations (710) can reduce 266 to:
% 40.47/11.42 | (1089) ~ (all_0_86_86 = e1)
% 40.47/11.42 |
% 40.47/11.42 | Simplifying 1089 yields:
% 40.47/11.43 | (1090) ~ (all_0_86_86 = e1)
% 40.47/11.43 |
% 40.47/11.43 | From (710) and (9581) follows:
% 40.47/11.43 | (837) op(e1, e3) = e2
% 40.47/11.43 |
% 40.47/11.43 | From (710) and (62) follows:
% 40.47/11.43 | (2518) op(e1, e2) = all_0_33_33
% 40.47/11.43 |
% 40.47/11.43 | From (710) and (178) follows:
% 40.47/11.43 | (10251) op(e1, e0) = all_0_35_35
% 40.47/11.43 |
% 40.47/11.43 | From (710) and (8153) follows:
% 40.47/11.43 | (2491) op(e0, e1) = e1
% 40.47/11.43 |
% 40.47/11.43 +-Applying beta-rule and splitting (1117), into two cases.
% 40.47/11.43 |-Branch one:
% 40.47/11.43 | (1129) all_0_86_86 = e2
% 40.47/11.43 |
% 40.47/11.43 | Equations (1129) can reduce 1106 to:
% 40.47/11.43 | (304) $false
% 40.47/11.43 |
% 40.47/11.43 |-The branch is then unsatisfiable
% 40.47/11.43 |-Branch two:
% 40.47/11.43 | (1106) ~ (all_0_86_86 = e2)
% 40.47/11.43 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 40.47/11.43 |
% 40.47/11.43 +-Applying beta-rule and splitting (1132), into two cases.
% 40.47/11.43 |-Branch one:
% 40.47/11.43 | (1143) all_0_86_86 = e1
% 40.47/11.43 |
% 40.47/11.43 | Equations (1143) can reduce 1090 to:
% 40.47/11.43 | (304) $false
% 40.47/11.43 |
% 40.47/11.43 |-The branch is then unsatisfiable
% 40.47/11.43 |-Branch two:
% 40.47/11.43 | (1090) ~ (all_0_86_86 = e1)
% 40.47/11.43 | (1146) all_0_86_86 = e0
% 40.47/11.43 |
% 40.47/11.43 | Equations (1146) can reduce 1090 to:
% 40.47/11.43 | (1181) ~ (e1 = e0)
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 1181 yields:
% 40.47/11.43 | (69) ~ (e1 = e0)
% 40.47/11.43 |
% 40.47/11.43 | From (1146) and (246) follows:
% 40.47/11.43 | (1148) op(e0, e2) = all_0_65_65
% 40.47/11.43 |
% 40.47/11.43 | From (1146) and (257) follows:
% 40.47/11.43 | (4214) op(e3, e0) = all_0_22_22
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e3, e0, all_0_23_23, all_0_12_12 and discharging atoms op(e3, e0) = all_0_12_12, op(e3, e0) = all_0_23_23, yields:
% 40.47/11.43 | (4990) all_0_12_12 = all_0_23_23
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e3, e0, all_0_23_23, all_0_22_22 and discharging atoms op(e3, e0) = all_0_22_22, op(e3, e0) = all_0_23_23, yields:
% 40.47/11.43 | (10266) all_0_22_22 = all_0_23_23
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e3, e0, all_0_59_59, all_0_22_22 and discharging atoms op(e3, e0) = all_0_22_22, op(e3, e0) = all_0_59_59, yields:
% 40.47/11.43 | (4223) all_0_22_22 = all_0_59_59
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e3, all_0_50_50, all_0_44_44 and discharging atoms op(e1, e3) = all_0_44_44, op(e1, e3) = all_0_50_50, yields:
% 40.47/11.43 | (4765) all_0_44_44 = all_0_50_50
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e3, all_0_52_52, all_0_45_45 and discharging atoms op(e1, e3) = all_0_45_45, op(e1, e3) = all_0_52_52, yields:
% 40.47/11.43 | (10269) all_0_45_45 = all_0_52_52
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e3, all_0_68_68, all_0_44_44 and discharging atoms op(e1, e3) = all_0_44_44, op(e1, e3) = all_0_68_68, yields:
% 40.47/11.43 | (10270) all_0_44_44 = all_0_68_68
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e3, e2, all_0_50_50 and discharging atoms op(e1, e3) = all_0_50_50, op(e1, e3) = e2, yields:
% 40.47/11.43 | (10271) all_0_50_50 = e2
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e2, all_0_45_45, all_0_33_33 and discharging atoms op(e1, e2) = all_0_33_33, op(e1, e2) = all_0_45_45, yields:
% 40.47/11.43 | (6480) all_0_33_33 = all_0_45_45
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e2, e0, all_0_33_33 and discharging atoms op(e1, e2) = all_0_33_33, op(e1, e2) = e0, yields:
% 40.47/11.43 | (10273) all_0_33_33 = e0
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e0, all_0_44_44, all_0_35_35 and discharging atoms op(e1, e0) = all_0_35_35, op(e1, e0) = all_0_44_44, yields:
% 40.47/11.43 | (10274) all_0_35_35 = all_0_44_44
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e1, e0, all_0_51_51, all_0_35_35 and discharging atoms op(e1, e0) = all_0_35_35, op(e1, e0) = all_0_51_51, yields:
% 40.47/11.43 | (4228) all_0_35_35 = all_0_51_51
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e3, all_0_52_52, all_0_12_12 and discharging atoms op(e0, e3) = all_0_12_12, op(e0, e3) = all_0_52_52, yields:
% 40.47/11.43 | (3847) all_0_12_12 = all_0_52_52
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e3, all_0_66_66, all_0_59_59 and discharging atoms op(e0, e3) = all_0_59_59, op(e0, e3) = all_0_66_66, yields:
% 40.47/11.43 | (10277) all_0_59_59 = all_0_66_66
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e3, e3, all_0_66_66 and discharging atoms op(e0, e3) = all_0_66_66, op(e0, e3) = e3, yields:
% 40.47/11.43 | (3869) all_0_66_66 = e3
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e3, e3, all_0_68_68 and discharging atoms op(e0, e3) = all_0_68_68, op(e0, e3) = e3, yields:
% 40.47/11.43 | (373) all_0_68_68 = e3
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e2, all_0_65_65, all_0_13_13 and discharging atoms op(e0, e2) = all_0_13_13, op(e0, e2) = all_0_65_65, yields:
% 40.47/11.43 | (10280) all_0_13_13 = all_0_65_65
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e2, e2, all_0_13_13 and discharging atoms op(e0, e2) = all_0_13_13, op(e0, e2) = e2, yields:
% 40.47/11.43 | (548) all_0_13_13 = e2
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e1, all_0_71_71, all_0_65_65 and discharging atoms op(e0, e1) = all_0_65_65, op(e0, e1) = all_0_71_71, yields:
% 40.47/11.43 | (2596) all_0_65_65 = all_0_71_71
% 40.47/11.43 |
% 40.47/11.43 | Instantiating formula (268) with e0, e1, e1, all_0_71_71 and discharging atoms op(e0, e1) = all_0_71_71, op(e0, e1) = e1, yields:
% 40.47/11.43 | (2572) all_0_71_71 = e1
% 40.47/11.43 |
% 40.47/11.43 | Combining equations (4990,3847) yields a new equation:
% 40.47/11.43 | (10284) all_0_23_23 = all_0_52_52
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 10284 yields:
% 40.47/11.43 | (10285) all_0_23_23 = all_0_52_52
% 40.47/11.43 |
% 40.47/11.43 | Combining equations (10280,548) yields a new equation:
% 40.47/11.43 | (10286) all_0_65_65 = e2
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 10286 yields:
% 40.47/11.43 | (1624) all_0_65_65 = e2
% 40.47/11.43 |
% 40.47/11.43 | Combining equations (10266,4223) yields a new equation:
% 40.47/11.43 | (10288) all_0_23_23 = all_0_59_59
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 10288 yields:
% 40.47/11.43 | (7783) all_0_23_23 = all_0_59_59
% 40.47/11.43 |
% 40.47/11.43 | Combining equations (10285,7783) yields a new equation:
% 40.47/11.43 | (10290) all_0_52_52 = all_0_59_59
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 10290 yields:
% 40.47/11.43 | (10291) all_0_52_52 = all_0_59_59
% 40.47/11.43 |
% 40.47/11.43 | Combining equations (6480,10273) yields a new equation:
% 40.47/11.43 | (10292) all_0_45_45 = e0
% 40.47/11.43 |
% 40.47/11.43 | Simplifying 10292 yields:
% 40.47/11.43 | (10293) all_0_45_45 = e0
% 40.47/11.43 |
% 40.47/11.44 | Combining equations (10274,4228) yields a new equation:
% 40.47/11.44 | (10294) all_0_44_44 = all_0_51_51
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 10294 yields:
% 40.47/11.44 | (10295) all_0_44_44 = all_0_51_51
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (4765,10295) yields a new equation:
% 40.47/11.44 | (10296) all_0_50_50 = all_0_51_51
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 10296 yields:
% 40.47/11.44 | (10297) all_0_50_50 = all_0_51_51
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10270,10295) yields a new equation:
% 40.47/11.44 | (10298) all_0_51_51 = all_0_68_68
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10293,10269) yields a new equation:
% 40.47/11.44 | (3852) all_0_52_52 = e0
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10297,10271) yields a new equation:
% 40.47/11.44 | (10300) all_0_51_51 = e2
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 10300 yields:
% 40.47/11.44 | (10301) all_0_51_51 = e2
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10298,10301) yields a new equation:
% 40.47/11.44 | (5031) all_0_68_68 = e2
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 5031 yields:
% 40.47/11.44 | (5032) all_0_68_68 = e2
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10291,3852) yields a new equation:
% 40.47/11.44 | (10304) all_0_59_59 = e0
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 10304 yields:
% 40.47/11.44 | (7789) all_0_59_59 = e0
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (10277,7789) yields a new equation:
% 40.47/11.44 | (10306) all_0_66_66 = e0
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 10306 yields:
% 40.47/11.44 | (333) all_0_66_66 = e0
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (2596,1624) yields a new equation:
% 40.47/11.44 | (2590) all_0_71_71 = e2
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 2590 yields:
% 40.47/11.44 | (2591) all_0_71_71 = e2
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (3869,333) yields a new equation:
% 40.47/11.44 | (1216) e3 = e0
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 1216 yields:
% 40.47/11.44 | (1217) e3 = e0
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (373,5032) yields a new equation:
% 40.47/11.44 | (1626) e3 = e2
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 1626 yields:
% 40.47/11.44 | (1215) e3 = e2
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (2572,2591) yields a new equation:
% 40.47/11.44 | (1219) e2 = e1
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (1215,1217) yields a new equation:
% 40.47/11.44 | (1220) e2 = e0
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 1220 yields:
% 40.47/11.44 | (1221) e2 = e0
% 40.47/11.44 |
% 40.47/11.44 | Combining equations (1219,1221) yields a new equation:
% 40.47/11.44 | (1632) e1 = e0
% 40.47/11.44 |
% 40.47/11.44 | Simplifying 1632 yields:
% 40.47/11.44 | (1222) e1 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (1222) can reduce 69 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (709) ~ (all_0_78_78 = e1)
% 40.47/11.44 | (713) all_0_78_78 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (713) can reduce 690 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (473) ~ (all_0_87_87 = e1)
% 40.47/11.44 | (479) all_0_87_87 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (479) can reduce 489 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.44 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (632), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (463) all_0_87_87 = e1
% 40.47/11.44 |
% 40.47/11.44 | Equations (463) can reduce 191 to:
% 40.47/11.44 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (1661), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (618) all_0_84_84 = e2
% 40.47/11.44 |
% 40.47/11.44 | Equations (618) can reduce 1050 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (1050) ~ (all_0_84_84 = e2)
% 40.47/11.44 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (1673), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (1085) all_0_84_84 = e1
% 40.47/11.44 |
% 40.47/11.44 | Equations (1085) can reduce 1675 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.44 | (1280) all_0_84_84 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (1280) can reduce 1055 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (473) ~ (all_0_87_87 = e1)
% 40.47/11.44 | (479) all_0_87_87 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (479) can reduce 489 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (450) ~ (all_0_77_77 = e3)
% 40.47/11.44 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (1169), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (418) all_0_77_77 = e2
% 40.47/11.44 |
% 40.47/11.44 | Equations (418) can reduce 423 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (423) ~ (all_0_77_77 = e2)
% 40.47/11.44 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (1176), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (465) all_0_77_77 = e1
% 40.47/11.44 |
% 40.47/11.44 | Equations (465) can reduce 466 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (466) ~ (all_0_77_77 = e1)
% 40.47/11.44 | (481) all_0_77_77 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (481) can reduce 482 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (1227) ~ (all_0_81_81 = e1)
% 40.47/11.44 | (1228) all_0_81_81 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (1228) can reduce 1137 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.44 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (719), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (736) all_0_75_75 = e2
% 40.47/11.44 |
% 40.47/11.44 | Equations (736) can reduce 645 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (645) ~ (all_0_75_75 = e2)
% 40.47/11.44 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (739), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (740) all_0_75_75 = e1
% 40.47/11.44 |
% 40.47/11.44 | Equations (740) can reduce 728 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.44 | (743) all_0_75_75 = e0
% 40.47/11.44 |
% 40.47/11.44 | Equations (743) can reduce 1030 to:
% 40.47/11.44 | (304) $false
% 40.47/11.44 |
% 40.47/11.44 |-The branch is then unsatisfiable
% 40.47/11.44 |-Branch two:
% 40.47/11.44 | (622) ~ (unit = e2)
% 40.47/11.44 | (1271) unit = e1 | unit = e0
% 40.47/11.44 |
% 40.47/11.44 +-Applying beta-rule and splitting (735), into two cases.
% 40.47/11.44 |-Branch one:
% 40.47/11.44 | (687) all_0_79_79 = e2
% 40.47/11.44 |
% 40.47/11.45 | Combining equations (8085,687) yields a new equation:
% 40.47/11.45 | (414) unit = e2
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 414 yields:
% 40.47/11.45 | (415) unit = e2
% 40.47/11.45 |
% 40.47/11.45 | Equations (415) can reduce 622 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (730) ~ (all_0_79_79 = e2)
% 40.47/11.45 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (749), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (750) all_0_79_79 = e1
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (8085,750) yields a new equation:
% 40.47/11.45 | (435) unit = e1
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 435 yields:
% 40.47/11.45 | (436) unit = e1
% 40.47/11.45 |
% 40.47/11.45 | Equations (436) can reduce 404 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (731) ~ (all_0_79_79 = e1)
% 40.47/11.45 | (753) all_0_79_79 = e0
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (8085,753) yields a new equation:
% 40.47/11.45 | (440) unit = e0
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 440 yields:
% 40.47/11.45 | (441) unit = e0
% 40.47/11.45 |
% 40.47/11.45 | Equations (441) can reduce 402 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (1024) all_0_8_8 = e0
% 40.47/11.45 | (403) ~ (all_0_72_72 = e1)
% 40.47/11.45 |
% 40.47/11.45 | Equations (434) can reduce 403 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (413) all_0_72_72 = e2
% 40.47/11.45 | (422) ~ (all_0_77_77 = e2) | ~ (all_0_82_82 = e2) | ~ (all_0_87_87 = e2)
% 40.47/11.45 |
% 40.47/11.45 | From (413) and (4) follows:
% 40.47/11.45 | (648) op(e2, e3) = all_0_8_8
% 40.47/11.45 |
% 40.47/11.45 | From (413) and (3) follows:
% 40.47/11.45 | (2142) op(e2, e2) = all_0_9_9
% 40.47/11.45 |
% 40.47/11.45 | From (413) and (3257) follows:
% 40.47/11.45 | (820) op(e2, e1) = e3
% 40.47/11.45 |
% 40.47/11.45 | From (413) and (2) follows:
% 40.47/11.45 | (2144) op(e3, e2) = all_0_8_8
% 40.47/11.45 |
% 40.47/11.45 | From (413) and (3266) follows:
% 40.47/11.45 | (817) op(e1, e2) = e3
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e3, e2, all_0_8_8, all_0_73_73 and discharging atoms op(e3, e2) = all_0_8_8, op(e3, e2) = all_0_73_73, yields:
% 40.47/11.45 | (2147) all_0_8_8 = all_0_73_73
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e2, e3, all_0_8_8, all_0_76_76 and discharging atoms op(e2, e3) = all_0_8_8, op(e2, e3) = all_0_76_76, yields:
% 40.47/11.45 | (2148) all_0_8_8 = all_0_76_76
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e2, e2, all_0_9_9, all_0_77_77 and discharging atoms op(e2, e2) = all_0_9_9, op(e2, e2) = all_0_77_77, yields:
% 40.47/11.45 | (10396) all_0_9_9 = all_0_77_77
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e2, e1, e3, all_0_78_78 and discharging atoms op(e2, e1) = all_0_78_78, op(e2, e1) = e3, yields:
% 40.47/11.45 | (695) all_0_78_78 = e3
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 40.47/11.45 | (825) all_0_81_81 = e3
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (2147,2148) yields a new equation:
% 40.47/11.45 | (2153) all_0_73_73 = all_0_76_76
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 2153 yields:
% 40.47/11.45 | (2154) all_0_73_73 = all_0_76_76
% 40.47/11.45 |
% 40.47/11.45 | Equations (2154) can reduce 66 to:
% 40.47/11.45 | (96) ~ (all_0_76_76 = all_0_77_77)
% 40.47/11.45 |
% 40.47/11.45 | Equations (2154) can reduce 1725 to:
% 40.47/11.45 | (1729) ~ (all_0_76_76 = unit)
% 40.47/11.45 |
% 40.47/11.45 | From (2148) and (2286) follows:
% 40.47/11.45 | (2312) op(all_0_76_76, e3) = e2
% 40.47/11.45 |
% 40.47/11.45 | From (2154) and (295) follows:
% 40.47/11.45 | (2313) op(all_0_76_76, e3) = all_0_12_12
% 40.47/11.45 |
% 40.47/11.45 | From (2154)(10396) and (137) follows:
% 40.47/11.45 | (10405) op(e3, all_0_76_76) = all_0_77_77
% 40.47/11.45 |
% 40.47/11.45 | From (695) and (8153) follows:
% 40.47/11.45 | (1935) op(e0, e3) = e1
% 40.47/11.45 |
% 40.47/11.45 | From (825) and (164) follows:
% 40.47/11.45 | (1447) op(e0, e3) = all_0_65_65
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with all_0_76_76, e3, e2, all_0_12_12 and discharging atoms op(all_0_76_76, e3) = all_0_12_12, op(all_0_76_76, e3) = e2, yields:
% 40.47/11.45 | (2315) all_0_12_12 = e2
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e3, all_0_76_76, all_0_77_77, all_0_12_12 and discharging atoms op(e3, all_0_76_76) = all_0_12_12, op(e3, all_0_76_76) = all_0_77_77, yields:
% 40.47/11.45 | (10409) all_0_12_12 = all_0_77_77
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e0, e3, all_0_65_65, all_0_84_84 and discharging atoms op(e0, e3) = all_0_65_65, op(e0, e3) = all_0_84_84, yields:
% 40.47/11.45 | (10410) all_0_65_65 = all_0_84_84
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e0, e3, e1, all_0_65_65 and discharging atoms op(e0, e3) = all_0_65_65, op(e0, e3) = e1, yields:
% 40.47/11.45 | (8407) all_0_65_65 = e1
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (10409,2315) yields a new equation:
% 40.47/11.45 | (10412) all_0_77_77 = e2
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 10412 yields:
% 40.47/11.45 | (418) all_0_77_77 = e2
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (10410,8407) yields a new equation:
% 40.47/11.45 | (1084) all_0_84_84 = e1
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 1084 yields:
% 40.47/11.45 | (1085) all_0_84_84 = e1
% 40.47/11.45 |
% 40.47/11.45 | Equations (418) can reduce 96 to:
% 40.47/11.45 | (765) ~ (all_0_76_76 = e2)
% 40.47/11.45 |
% 40.47/11.45 | Equations (1085) can reduce 202 to:
% 40.47/11.45 | (797) ~ (all_0_76_76 = e1)
% 40.47/11.45 |
% 40.47/11.45 | Equations (418) can reduce 525 to:
% 40.47/11.45 | (621) ~ (unit = e2)
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 621 yields:
% 40.47/11.45 | (622) ~ (unit = e2)
% 40.47/11.45 |
% 40.47/11.45 | Equations (1085) can reduce 533 to:
% 40.47/11.45 | (928) ~ (unit = e1)
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 928 yields:
% 40.47/11.45 | (404) ~ (unit = e1)
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (694), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (699) all_0_74_74 = e2
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (699,3132) yields a new equation:
% 40.47/11.45 | (415) unit = e2
% 40.47/11.45 |
% 40.47/11.45 | Equations (415) can reduce 622 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (643) ~ (all_0_74_74 = e2)
% 40.47/11.45 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (702), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (707) all_0_74_74 = e1
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (707,3132) yields a new equation:
% 40.47/11.45 | (436) unit = e1
% 40.47/11.45 |
% 40.47/11.45 | Equations (436) can reduce 404 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (715) ~ (all_0_74_74 = e1)
% 40.47/11.45 | (716) all_0_74_74 = e0
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (716,3132) yields a new equation:
% 40.47/11.45 | (441) unit = e0
% 40.47/11.45 |
% 40.47/11.45 | Equations (441) can reduce 1729 to:
% 40.47/11.45 | (1836) ~ (all_0_76_76 = e0)
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (883), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (884) all_0_73_73 = e2
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (2154,884) yields a new equation:
% 40.47/11.45 | (2380) all_0_76_76 = e2
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 2380 yields:
% 40.47/11.45 | (761) all_0_76_76 = e2
% 40.47/11.45 |
% 40.47/11.45 | Equations (761) can reduce 765 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (888) ~ (all_0_73_73 = e2)
% 40.47/11.45 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (889), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (890) all_0_73_73 = e1
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (2154,890) yields a new equation:
% 40.47/11.45 | (2861) all_0_76_76 = e1
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 2861 yields:
% 40.47/11.45 | (781) all_0_76_76 = e1
% 40.47/11.45 |
% 40.47/11.45 | Equations (781) can reduce 797 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (894) ~ (all_0_73_73 = e1)
% 40.47/11.45 | (895) all_0_73_73 = e0
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (2154,895) yields a new equation:
% 40.47/11.45 | (2168) all_0_76_76 = e0
% 40.47/11.45 |
% 40.47/11.45 | Simplifying 2168 yields:
% 40.47/11.45 | (798) all_0_76_76 = e0
% 40.47/11.45 |
% 40.47/11.45 | Equations (798) can reduce 1836 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (1285) all_0_2_2 = e0
% 40.47/11.45 | (1286) ~ (all_0_8_8 = e2) | ~ (all_0_72_72 = e1)
% 40.47/11.45 |
% 40.47/11.45 | From (1285) and (89) follows:
% 40.47/11.45 | (1287) op(all_0_8_8, e3) = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (23), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (600) all_0_85_85 = e3
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (600,8086) yields a new equation:
% 40.47/11.45 | (409) unit = e3
% 40.47/11.45 |
% 40.47/11.45 | From (409) and (39) follows:
% 40.47/11.45 | (1010) op(e1, e3) = e1
% 40.47/11.45 |
% 40.47/11.45 | From (409) and (2868) follows:
% 40.47/11.45 | (1009) op(e1, e3) = e3
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 40.47/11.45 | (1017) e3 = e1
% 40.47/11.45 |
% 40.47/11.45 | Equations (1017) can reduce 215 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (1436) ~ (all_0_85_85 = e3)
% 40.47/11.45 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.47/11.45 |
% 40.47/11.45 | Equations (8086) can reduce 1436 to:
% 40.47/11.45 | (406) ~ (unit = e3)
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (11), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (691) all_0_74_74 = e3
% 40.47/11.45 |
% 40.47/11.45 | Combining equations (691,3132) yields a new equation:
% 40.47/11.45 | (409) unit = e3
% 40.47/11.45 |
% 40.47/11.45 | Equations (409) can reduce 406 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (680) ~ (all_0_74_74 = e3)
% 40.47/11.45 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.45 |
% 40.47/11.45 | Equations (3132) can reduce 680 to:
% 40.47/11.45 | (406) ~ (unit = e3)
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (119), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (409) unit = e3
% 40.47/11.45 |
% 40.47/11.45 | Equations (409) can reduce 406 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (406) ~ (unit = e3)
% 40.47/11.45 | (871) unit = e2 | unit = e1 | unit = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (74), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.45 | (679) all_0_75_75 = e3
% 40.47/11.45 |
% 40.47/11.45 | Equations (679) can reduce 106 to:
% 40.47/11.45 | (882) ~ (all_0_73_73 = e3)
% 40.47/11.45 |
% 40.47/11.45 | From (679) and (8138) follows:
% 40.47/11.45 | (4893) op(e3, e2) = e3
% 40.47/11.45 |
% 40.47/11.45 | Instantiating formula (268) with e3, e2, e3, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e3, yields:
% 40.47/11.45 | (878) all_0_73_73 = e3
% 40.47/11.45 |
% 40.47/11.45 | Equations (878) can reduce 882 to:
% 40.47/11.45 | (304) $false
% 40.47/11.45 |
% 40.47/11.45 |-The branch is then unsatisfiable
% 40.47/11.45 |-Branch two:
% 40.47/11.45 | (718) ~ (all_0_75_75 = e3)
% 40.47/11.45 | (719) all_0_75_75 = e2 | all_0_75_75 = e1 | all_0_75_75 = e0
% 40.47/11.45 |
% 40.47/11.45 +-Applying beta-rule and splitting (241), into two cases.
% 40.47/11.45 |-Branch one:
% 40.47/11.46 | (448) all_0_82_82 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (448) can reduce 276 to:
% 40.47/11.46 | (1120) ~ (all_0_81_81 = e3)
% 40.47/11.46 |
% 40.47/11.46 | Equations (448) can reduce 214 to:
% 40.47/11.46 | (1057) ~ (all_0_83_83 = e3)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 1057 yields:
% 40.47/11.46 | (1058) ~ (all_0_83_83 = e3)
% 40.47/11.46 |
% 40.47/11.46 | From (448) and (3264) follows:
% 40.47/11.46 | (3379) op(e3, e3) = e1
% 40.47/11.46 |
% 40.47/11.46 | From (448) and (112) follows:
% 40.47/11.46 | (3981) op(e2, e3) = all_0_34_34
% 40.47/11.46 |
% 40.47/11.46 | From (448) and (154) follows:
% 40.47/11.46 | (3380) op(e1, e3) = all_0_50_50
% 40.47/11.46 |
% 40.47/11.46 | Instantiating formula (268) with e3, e3, e1, all_0_72_72 and discharging atoms op(e3, e3) = all_0_72_72, op(e3, e3) = e1, yields:
% 40.47/11.46 | (434) all_0_72_72 = e1
% 40.47/11.46 |
% 40.47/11.46 | Instantiating formula (268) with e2, e3, all_0_34_34, all_0_76_76 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = all_0_76_76, yields:
% 40.47/11.46 | (3994) all_0_34_34 = all_0_76_76
% 40.47/11.46 |
% 40.47/11.46 | Instantiating formula (268) with e1, e3, all_0_50_50, unit and discharging atoms op(e1, e3) = all_0_50_50, op(e1, e3) = unit, yields:
% 40.47/11.46 | (3384) all_0_50_50 = unit
% 40.47/11.46 |
% 40.47/11.46 | Equations (434) can reduce 17 to:
% 40.47/11.46 | (9811) ~ (all_0_73_73 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 9811 yields:
% 40.47/11.46 | (894) ~ (all_0_73_73 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Equations (434) can reduce 64 to:
% 40.47/11.46 | (9813) ~ (all_0_75_75 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 9813 yields:
% 40.47/11.46 | (728) ~ (all_0_75_75 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Equations (434) can reduce 132 to:
% 40.47/11.46 | (3358) ~ (all_0_84_84 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 3358 yields:
% 40.47/11.46 | (1675) ~ (all_0_84_84 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Equations (434) can reduce 515 to:
% 40.47/11.46 | (928) ~ (unit = e1)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 928 yields:
% 40.47/11.46 | (404) ~ (unit = e1)
% 40.47/11.46 |
% 40.47/11.46 | From (434) and (4) follows:
% 40.47/11.46 | (816) op(e1, e3) = all_0_8_8
% 40.47/11.46 |
% 40.47/11.46 | From (3994) and (3981) follows:
% 40.47/11.46 | (208) op(e2, e3) = all_0_76_76
% 40.47/11.46 |
% 40.47/11.46 | From (3384) and (3380) follows:
% 40.47/11.46 | (2868) op(e1, e3) = unit
% 40.47/11.46 |
% 40.47/11.46 | From (434) and (196) follows:
% 40.47/11.46 | (3365) op(e0, e1) = all_0_56_56
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1286), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1039) ~ (all_0_8_8 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 40.47/11.46 | (652) all_0_8_8 = unit
% 40.47/11.46 |
% 40.47/11.46 | Instantiating formula (268) with e0, e1, all_0_56_56, all_0_86_86 and discharging atoms op(e0, e1) = all_0_56_56, op(e0, e1) = all_0_86_86, yields:
% 40.47/11.46 | (3369) all_0_56_56 = all_0_86_86
% 40.47/11.46 |
% 40.47/11.46 | Equations (652) can reduce 1039 to:
% 40.47/11.46 | (622) ~ (unit = e2)
% 40.47/11.46 |
% 40.47/11.46 | From (652) and (1287) follows:
% 40.47/11.46 | (1313) op(unit, e3) = e0
% 40.47/11.46 |
% 40.47/11.46 | From (3369) and (3365) follows:
% 40.47/11.46 | (223) op(e0, e1) = all_0_86_86
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (694), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (699) all_0_74_74 = e2
% 40.47/11.46 |
% 40.47/11.46 | Combining equations (3132,699) yields a new equation:
% 40.47/11.46 | (414) unit = e2
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 414 yields:
% 40.47/11.46 | (415) unit = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (415) can reduce 622 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (643) ~ (all_0_74_74 = e2)
% 40.47/11.46 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.47/11.46 |
% 40.47/11.46 | Equations (3132) can reduce 643 to:
% 40.47/11.46 | (622) ~ (unit = e2)
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (871), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (415) unit = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (415) can reduce 622 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (622) ~ (unit = e2)
% 40.47/11.46 | (1271) unit = e1 | unit = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1271), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (436) unit = e1
% 40.47/11.46 |
% 40.47/11.46 | Equations (436) can reduce 404 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (404) ~ (unit = e1)
% 40.47/11.46 | (441) unit = e0
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 1725 to:
% 40.47/11.46 | (1832) ~ (all_0_73_73 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 519 to:
% 40.47/11.46 | (1030) ~ (all_0_75_75 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 1729 to:
% 40.47/11.46 | (1836) ~ (all_0_76_76 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 525 to:
% 40.47/11.46 | (482) ~ (all_0_77_77 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 521 to:
% 40.47/11.46 | (1137) ~ (all_0_81_81 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 364 to:
% 40.47/11.46 | (1470) ~ (all_0_83_83 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 533 to:
% 40.47/11.46 | (1055) ~ (all_0_84_84 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 365 to:
% 40.47/11.46 | (1472) ~ (all_0_86_86 = e0)
% 40.47/11.46 |
% 40.47/11.46 | Equations (441) can reduce 1742 to:
% 40.47/11.46 | (489) ~ (all_0_87_87 = e0)
% 40.47/11.46 |
% 40.47/11.46 | From (441) and (1313) follows:
% 40.47/11.46 | (1357) op(e0, e3) = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (719), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (736) all_0_75_75 = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (736) can reduce 88 to:
% 40.47/11.46 | (2916) ~ (all_0_83_83 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 2916 yields:
% 40.47/11.46 | (1105) ~ (all_0_83_83 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Equations (736) can reduce 274 to:
% 40.47/11.46 | (2525) ~ (all_0_87_87 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 2525 yields:
% 40.47/11.46 | (430) ~ (all_0_87_87 = e2)
% 40.47/11.46 |
% 40.47/11.46 | From (736) and (53) follows:
% 40.47/11.46 | (10536) op(e2, e2) = all_0_27_27
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (151), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1110) all_0_83_83 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (1110) can reduce 1058 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (1058) ~ (all_0_83_83 = e3)
% 40.47/11.46 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1113), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1125) all_0_83_83 = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (1125) can reduce 1105 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (1105) ~ (all_0_83_83 = e2)
% 40.47/11.46 | (1128) all_0_83_83 = e1 | all_0_83_83 = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1128), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1133) all_0_83_83 = e1
% 40.47/11.46 |
% 40.47/11.46 | Equations (1133) can reduce 189 to:
% 40.47/11.46 | (1227) ~ (all_0_81_81 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Equations (1133) can reduce 182 to:
% 40.47/11.46 | (2928) ~ (all_0_87_87 = e1)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 2928 yields:
% 40.47/11.46 | (473) ~ (all_0_87_87 = e1)
% 40.47/11.46 |
% 40.47/11.46 | From (1133) and (193) follows:
% 40.47/11.46 | (10231) op(e1, e3) = all_0_52_52
% 40.47/11.46 |
% 40.47/11.46 | From (1133) and (177) follows:
% 40.47/11.46 | (10550) op(e1, e0) = all_0_55_55
% 40.47/11.46 |
% 40.47/11.46 | From (1133) and (16) follows:
% 40.47/11.46 | (1526) op(e0, e1) = all_0_67_67
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (176), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (825) all_0_81_81 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (825) can reduce 1120 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (1120) ~ (all_0_81_81 = e3)
% 40.47/11.46 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (34), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (447) all_0_87_87 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (447) can reduce 191 to:
% 40.47/11.46 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.46 |
% 40.47/11.46 | Equations (447) can reduce 234 to:
% 40.47/11.46 | (1061) ~ (all_0_86_86 = e3)
% 40.47/11.46 |
% 40.47/11.46 | From (447) and (225) follows:
% 40.47/11.46 | (1861) op(e3, e0) = all_0_71_71
% 40.47/11.46 |
% 40.47/11.46 | From (447) and (203) follows:
% 40.47/11.46 | (2725) op(e1, e3) = all_0_55_55
% 40.47/11.46 |
% 40.47/11.46 | From (447) and (55) follows:
% 40.47/11.46 | (1865) op(e0, e3) = all_0_71_71
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (240), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1073) all_0_84_84 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (1073) can reduce 1059 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (1059) ~ (all_0_84_84 = e3)
% 40.47/11.46 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1142), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (1155) all_0_81_81 = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (1155) can reduce 185 to:
% 40.47/11.46 | (888) ~ (all_0_73_73 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Equations (1155) can reduce 126 to:
% 40.47/11.46 | (423) ~ (all_0_77_77 = e2)
% 40.47/11.46 |
% 40.47/11.46 | From (1155) and (127) follows:
% 40.47/11.46 | (10569) op(e2, e3) = all_0_44_44
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (71), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (878) all_0_73_73 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (878) can reduce 66 to:
% 40.47/11.46 | (10571) ~ (all_0_77_77 = e3)
% 40.47/11.46 |
% 40.47/11.46 | Simplifying 10571 yields:
% 40.47/11.46 | (450) ~ (all_0_77_77 = e3)
% 40.47/11.46 |
% 40.47/11.46 | From (878) and (42) follows:
% 40.47/11.46 | (2510) op(e2, e3) = all_0_25_25
% 40.47/11.46 |
% 40.47/11.46 | From (878) and (56) follows:
% 40.47/11.46 | (10574) op(e0, e3) = all_0_57_57
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (94), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (449) all_0_77_77 = e3
% 40.47/11.46 |
% 40.47/11.46 | Equations (449) can reduce 450 to:
% 40.47/11.46 | (304) $false
% 40.47/11.46 |
% 40.47/11.46 |-The branch is then unsatisfiable
% 40.47/11.46 |-Branch two:
% 40.47/11.46 | (450) ~ (all_0_77_77 = e3)
% 40.47/11.46 | (1169) all_0_77_77 = e2 | all_0_77_77 = e1 | all_0_77_77 = e0
% 40.47/11.46 |
% 40.47/11.46 +-Applying beta-rule and splitting (1661), into two cases.
% 40.47/11.46 |-Branch one:
% 40.47/11.46 | (618) all_0_84_84 = e2
% 40.47/11.46 |
% 40.47/11.46 | Equations (618) can reduce 202 to:
% 40.47/11.46 | (765) ~ (all_0_76_76 = e2)
% 40.47/11.46 |
% 40.47/11.46 | Equations (618) can reduce 51 to:
% 40.47/11.47 | (3585) ~ (all_0_86_86 = e2)
% 40.47/11.47 |
% 40.47/11.47 | Simplifying 3585 yields:
% 40.47/11.47 | (1106) ~ (all_0_86_86 = e2)
% 40.47/11.47 |
% 40.47/11.47 | From (618) and (260) follows:
% 40.47/11.47 | (10583) op(e2, e2) = all_0_57_57
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (123), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (1114) all_0_86_86 = e3
% 40.47/11.47 |
% 40.47/11.47 | Equations (1114) can reduce 1061 to:
% 40.47/11.47 | (304) $false
% 40.47/11.47 |
% 40.47/11.47 |-The branch is then unsatisfiable
% 40.47/11.47 |-Branch two:
% 40.47/11.47 | (1061) ~ (all_0_86_86 = e3)
% 40.47/11.47 | (1117) all_0_86_86 = e2 | all_0_86_86 = e1 | all_0_86_86 = e0
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (1169), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (418) all_0_77_77 = e2
% 40.47/11.47 |
% 40.47/11.47 | Equations (418) can reduce 423 to:
% 40.47/11.47 | (304) $false
% 40.47/11.47 |
% 40.47/11.47 |-The branch is then unsatisfiable
% 40.47/11.47 |-Branch two:
% 40.47/11.47 | (423) ~ (all_0_77_77 = e2)
% 40.47/11.47 | (1176) all_0_77_77 = e1 | all_0_77_77 = e0
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (19), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (673) all_0_76_76 = e3
% 40.47/11.47 |
% 40.47/11.47 | From (673) and (99) follows:
% 40.47/11.47 | (10593) op(e3, e0) = all_0_27_27
% 40.47/11.47 |
% 40.47/11.47 | From (673) and (208) follows:
% 40.47/11.47 | (903) op(e2, e3) = e3
% 40.47/11.47 |
% 40.47/11.47 | From (673) and (145) follows:
% 40.47/11.47 | (4922) op(e1, e3) = all_0_44_44
% 40.47/11.47 |
% 40.47/11.47 | From (673) and (8151) follows:
% 40.47/11.47 | (1356) op(e0, e3) = e3
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (1117), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (1129) all_0_86_86 = e2
% 40.47/11.47 |
% 40.47/11.47 | Equations (1129) can reduce 1106 to:
% 40.47/11.47 | (304) $false
% 40.47/11.47 |
% 40.47/11.47 |-The branch is then unsatisfiable
% 40.47/11.47 |-Branch two:
% 40.47/11.47 | (1106) ~ (all_0_86_86 = e2)
% 40.47/11.47 | (1132) all_0_86_86 = e1 | all_0_86_86 = e0
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (1176), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (465) all_0_77_77 = e1
% 40.47/11.47 |
% 40.47/11.47 | From (465) and (45) follows:
% 40.47/11.47 | (10602) op(e1, e3) = all_0_28_28
% 40.47/11.47 |
% 40.47/11.47 | From (465) and (8152) follows:
% 40.47/11.47 | (5034) op(e0, e1) = e2
% 40.47/11.47 |
% 40.47/11.47 +-Applying beta-rule and splitting (1132), into two cases.
% 40.47/11.47 |-Branch one:
% 40.47/11.47 | (1143) all_0_86_86 = e1
% 40.47/11.47 |
% 40.47/11.47 | Equations (1143) can reduce 1472 to:
% 40.47/11.47 | (69) ~ (e1 = e0)
% 40.47/11.47 |
% 40.47/11.47 | From (1143) and (250) follows:
% 40.47/11.47 | (1541) op(e1, e0) = all_0_67_67
% 40.47/11.47 |
% 40.47/11.47 | From (1143) and (138) follows:
% 40.47/11.47 | (10607) op(e0, e1) = all_0_70_70
% 40.47/11.47 |
% 40.47/11.47 | From (1143) and (223) follows:
% 40.47/11.47 | (2491) op(e0, e1) = e1
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e3, e0, all_0_71_71, all_0_27_27 and discharging atoms op(e3, e0) = all_0_27_27, op(e3, e0) = all_0_71_71, yields:
% 40.47/11.47 | (10609) all_0_27_27 = all_0_71_71
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e2, e3, all_0_44_44, all_0_25_25 and discharging atoms op(e2, e3) = all_0_25_25, op(e2, e3) = all_0_44_44, yields:
% 40.47/11.47 | (10610) all_0_25_25 = all_0_44_44
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e2, e3, e3, all_0_25_25 and discharging atoms op(e2, e3) = all_0_25_25, op(e2, e3) = e3, yields:
% 40.47/11.47 | (10611) all_0_25_25 = e3
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e2, e2, all_0_57_57, all_0_27_27 and discharging atoms op(e2, e2) = all_0_27_27, op(e2, e2) = all_0_57_57, yields:
% 40.47/11.47 | (10612) all_0_27_27 = all_0_57_57
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e1, e3, all_0_44_44, all_0_28_28 and discharging atoms op(e1, e3) = all_0_28_28, op(e1, e3) = all_0_44_44, yields:
% 40.47/11.47 | (10613) all_0_28_28 = all_0_44_44
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e1, e3, all_0_52_52, all_0_28_28 and discharging atoms op(e1, e3) = all_0_28_28, op(e1, e3) = all_0_52_52, yields:
% 40.47/11.47 | (10614) all_0_28_28 = all_0_52_52
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e1, e3, all_0_55_55, all_0_28_28 and discharging atoms op(e1, e3) = all_0_28_28, op(e1, e3) = all_0_55_55, yields:
% 40.47/11.47 | (10615) all_0_28_28 = all_0_55_55
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e1, e0, all_0_67_67, all_0_55_55 and discharging atoms op(e1, e0) = all_0_55_55, op(e1, e0) = all_0_67_67, yields:
% 40.47/11.47 | (4499) all_0_55_55 = all_0_67_67
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e0, e3, e3, all_0_71_71 and discharging atoms op(e0, e3) = all_0_71_71, op(e0, e3) = e3, yields:
% 40.47/11.47 | (2570) all_0_71_71 = e3
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e0, e3, e0, all_0_57_57 and discharging atoms op(e0, e3) = all_0_57_57, op(e0, e3) = e0, yields:
% 40.47/11.47 | (556) all_0_57_57 = e0
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e0, e1, all_0_70_70, all_0_67_67 and discharging atoms op(e0, e1) = all_0_67_67, op(e0, e1) = all_0_70_70, yields:
% 40.47/11.47 | (4506) all_0_67_67 = all_0_70_70
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e0, e1, e2, all_0_67_67 and discharging atoms op(e0, e1) = all_0_67_67, op(e0, e1) = e2, yields:
% 40.47/11.47 | (1197) all_0_67_67 = e2
% 40.47/11.47 |
% 40.47/11.47 | Instantiating formula (268) with e0, e1, e1, all_0_67_67 and discharging atoms op(e0, e1) = all_0_67_67, op(e0, e1) = e1, yields:
% 40.47/11.47 | (1212) all_0_67_67 = e1
% 40.47/11.47 |
% 40.47/11.47 | Combining equations (10610,10611) yields a new equation:
% 40.47/11.47 | (10622) all_0_44_44 = e3
% 40.47/11.47 |
% 40.47/11.47 | Simplifying 10622 yields:
% 40.47/11.47 | (6495) all_0_44_44 = e3
% 40.47/11.47 |
% 40.47/11.47 | Combining equations (10609,10612) yields a new equation:
% 40.47/11.47 | (10624) all_0_57_57 = all_0_71_71
% 40.47/11.47 |
% 40.47/11.47 | Combining equations (10613,10614) yields a new equation:
% 40.47/11.47 | (10625) all_0_44_44 = all_0_52_52
% 40.47/11.47 |
% 40.47/11.47 | Simplifying 10625 yields:
% 40.47/11.47 | (10626) all_0_44_44 = all_0_52_52
% 40.47/11.47 |
% 40.47/11.47 | Combining equations (10615,10614) yields a new equation:
% 40.63/11.48 | (10627) all_0_52_52 = all_0_55_55
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (10626,6495) yields a new equation:
% 40.63/11.48 | (10628) all_0_52_52 = e3
% 40.63/11.48 |
% 40.63/11.48 | Simplifying 10628 yields:
% 40.63/11.48 | (4493) all_0_52_52 = e3
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (10627,4493) yields a new equation:
% 40.63/11.48 | (10630) all_0_55_55 = e3
% 40.63/11.48 |
% 40.63/11.48 | Simplifying 10630 yields:
% 40.63/11.48 | (2755) all_0_55_55 = e3
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (4499,2755) yields a new equation:
% 40.63/11.48 | (10632) all_0_67_67 = e3
% 40.63/11.48 |
% 40.63/11.48 | Simplifying 10632 yields:
% 40.63/11.48 | (1619) all_0_67_67 = e3
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (10624,556) yields a new equation:
% 40.63/11.48 | (2597) all_0_71_71 = e0
% 40.63/11.48 |
% 40.63/11.48 | Simplifying 2597 yields:
% 40.63/11.48 | (377) all_0_71_71 = e0
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (1619,4506) yields a new equation:
% 40.63/11.48 | (8689) all_0_70_70 = e3
% 40.63/11.48 |
% 40.63/11.48 | Combining equations (1212,4506) yields a new equation:
% 40.63/11.48 | (375) all_0_70_70 = e1
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (1197,4506) yields a new equation:
% 40.64/11.48 | (10638) all_0_70_70 = e2
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (8689,10638) yields a new equation:
% 40.64/11.48 | (1626) e3 = e2
% 40.64/11.48 |
% 40.64/11.48 | Simplifying 1626 yields:
% 40.64/11.48 | (1215) e3 = e2
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (375,10638) yields a new equation:
% 40.64/11.48 | (1219) e2 = e1
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (2570,377) yields a new equation:
% 40.64/11.48 | (1216) e3 = e0
% 40.64/11.48 |
% 40.64/11.48 | Simplifying 1216 yields:
% 40.64/11.48 | (1217) e3 = e0
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (1215,1217) yields a new equation:
% 40.64/11.48 | (1220) e2 = e0
% 40.64/11.48 |
% 40.64/11.48 | Simplifying 1220 yields:
% 40.64/11.48 | (1221) e2 = e0
% 40.64/11.48 |
% 40.64/11.48 | Combining equations (1221,1219) yields a new equation:
% 40.64/11.48 | (1222) e1 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (1222) can reduce 69 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1090) ~ (all_0_86_86 = e1)
% 40.64/11.48 | (1146) all_0_86_86 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (1146) can reduce 1472 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (466) ~ (all_0_77_77 = e1)
% 40.64/11.48 | (481) all_0_77_77 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (481) can reduce 482 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (677) ~ (all_0_76_76 = e3)
% 40.64/11.48 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (1176), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (465) all_0_77_77 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (465) can reduce 96 to:
% 40.64/11.48 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (678), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (761) all_0_76_76 = e2
% 40.64/11.48 |
% 40.64/11.48 | Equations (761) can reduce 765 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (765) ~ (all_0_76_76 = e2)
% 40.64/11.48 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (766), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (781) all_0_76_76 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (781) can reduce 797 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.48 | (798) all_0_76_76 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (798) can reduce 1836 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (466) ~ (all_0_77_77 = e1)
% 40.64/11.48 | (481) all_0_77_77 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (481) can reduce 482 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.48 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (1673), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (1085) all_0_84_84 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (1085) can reduce 1675 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1675) ~ (all_0_84_84 = e1)
% 40.64/11.48 | (1280) all_0_84_84 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (1280) can reduce 1055 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (882) ~ (all_0_73_73 = e3)
% 40.64/11.48 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (883), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (884) all_0_73_73 = e2
% 40.64/11.48 |
% 40.64/11.48 | Equations (884) can reduce 888 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (888) ~ (all_0_73_73 = e2)
% 40.64/11.48 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (889), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (890) all_0_73_73 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (890) can reduce 894 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (894) ~ (all_0_73_73 = e1)
% 40.64/11.48 | (895) all_0_73_73 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (895) can reduce 1832 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1104) ~ (all_0_81_81 = e2)
% 40.64/11.48 | (1158) all_0_81_81 = e1 | all_0_81_81 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (1158), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (1163) all_0_81_81 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (1163) can reduce 1227 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1227) ~ (all_0_81_81 = e1)
% 40.64/11.48 | (1228) all_0_81_81 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (1228) can reduce 1137 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (457) ~ (all_0_87_87 = e3)
% 40.64/11.48 | (627) all_0_87_87 = e2 | all_0_87_87 = e1 | all_0_87_87 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (627), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (416) all_0_87_87 = e2
% 40.64/11.48 |
% 40.64/11.48 | Equations (416) can reduce 430 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (430) ~ (all_0_87_87 = e2)
% 40.64/11.48 | (632) all_0_87_87 = e1 | all_0_87_87 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (632), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (463) all_0_87_87 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (463) can reduce 473 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (473) ~ (all_0_87_87 = e1)
% 40.64/11.48 | (479) all_0_87_87 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (479) can reduce 489 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1088) ~ (all_0_83_83 = e1)
% 40.64/11.48 | (1136) all_0_83_83 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (1136) can reduce 1470 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (645) ~ (all_0_75_75 = e2)
% 40.64/11.48 | (739) all_0_75_75 = e1 | all_0_75_75 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (739), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (740) all_0_75_75 = e1
% 40.64/11.48 |
% 40.64/11.48 | Equations (740) can reduce 728 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (728) ~ (all_0_75_75 = e1)
% 40.64/11.48 | (743) all_0_75_75 = e0
% 40.64/11.48 |
% 40.64/11.48 | Equations (743) can reduce 1030 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (1282) all_0_8_8 = e2
% 40.64/11.48 | (403) ~ (all_0_72_72 = e1)
% 40.64/11.48 |
% 40.64/11.48 | Equations (434) can reduce 403 to:
% 40.64/11.48 | (304) $false
% 40.64/11.48 |
% 40.64/11.48 |-The branch is then unsatisfiable
% 40.64/11.48 |-Branch two:
% 40.64/11.48 | (454) ~ (all_0_82_82 = e3)
% 40.64/11.48 | (853) all_0_82_82 = e2 | all_0_82_82 = e1 | all_0_82_82 = e0
% 40.64/11.48 |
% 40.64/11.48 +-Applying beta-rule and splitting (176), into two cases.
% 40.64/11.48 |-Branch one:
% 40.64/11.48 | (825) all_0_81_81 = e3
% 40.64/11.48 |
% 40.64/11.48 | Equations (825) can reduce 185 to:
% 40.64/11.48 | (882) ~ (all_0_73_73 = e3)
% 40.64/11.48 |
% 40.64/11.48 | From (825) and (127) follows:
% 40.64/11.48 | (9734) op(e3, e3) = all_0_44_44
% 40.64/11.48 |
% 40.64/11.48 | From (825) and (8139) follows:
% 40.64/11.48 | (1977) op(e3, e0) = e1
% 40.64/11.48 |
% 40.64/11.48 | From (825) and (9583) follows:
% 40.64/11.48 | (665) op(e3, e3) = e2
% 40.64/11.48 |
% 40.64/11.48 | Instantiating formula (268) with e3, e3, all_0_44_44, all_0_72_72 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = all_0_72_72, yields:
% 40.64/11.48 | (9737) all_0_44_44 = all_0_72_72
% 40.64/11.48 |
% 40.64/11.48 | Instantiating formula (268) with e3, e3, e2, all_0_44_44 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = e2, yields:
% 40.64/11.48 | (9738) all_0_44_44 = e2
% 40.64/11.48 |
% 40.64/11.48 | Instantiating formula (268) with e3, e0, e1, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e1, yields:
% 40.64/11.48 | (740) all_0_75_75 = e1
% 40.64/11.48 |
% 40.64/11.49 | Combining equations (9737,9738) yields a new equation:
% 40.64/11.49 | (9740) all_0_72_72 = e2
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 9740 yields:
% 40.64/11.49 | (413) all_0_72_72 = e2
% 40.64/11.49 |
% 40.64/11.49 | Equations (413) can reduce 17 to:
% 40.64/11.49 | (2797) ~ (all_0_73_73 = e2)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 2797 yields:
% 40.64/11.49 | (888) ~ (all_0_73_73 = e2)
% 40.64/11.49 |
% 40.64/11.49 | Equations (413) can reduce 515 to:
% 40.64/11.49 | (621) ~ (unit = e2)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 621 yields:
% 40.64/11.49 | (622) ~ (unit = e2)
% 40.64/11.49 |
% 40.64/11.49 | Equations (740) can reduce 106 to:
% 40.64/11.49 | (894) ~ (all_0_73_73 = e1)
% 40.64/11.49 |
% 40.64/11.49 | Equations (740) can reduce 519 to:
% 40.64/11.49 | (928) ~ (unit = e1)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 928 yields:
% 40.64/11.49 | (404) ~ (unit = e1)
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (1546), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (1558) all_0_85_85 = e2
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (1558,8086) yields a new equation:
% 40.64/11.49 | (415) unit = e2
% 40.64/11.49 |
% 40.64/11.49 | Equations (415) can reduce 622 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (1498) ~ (all_0_85_85 = e2)
% 40.64/11.49 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (1561), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (1566) all_0_85_85 = e1
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (1566,8086) yields a new equation:
% 40.64/11.49 | (436) unit = e1
% 40.64/11.49 |
% 40.64/11.49 | Equations (436) can reduce 404 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (1540) ~ (all_0_85_85 = e1)
% 40.64/11.49 | (1569) all_0_85_85 = e0
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (1569,8086) yields a new equation:
% 40.64/11.49 | (441) unit = e0
% 40.64/11.49 |
% 40.64/11.49 | Equations (441) can reduce 1725 to:
% 40.64/11.49 | (1832) ~ (all_0_73_73 = e0)
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (71), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (878) all_0_73_73 = e3
% 40.64/11.49 |
% 40.64/11.49 | Equations (878) can reduce 882 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (882) ~ (all_0_73_73 = e3)
% 40.64/11.49 | (883) all_0_73_73 = e2 | all_0_73_73 = e1 | all_0_73_73 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (883), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (884) all_0_73_73 = e2
% 40.64/11.49 |
% 40.64/11.49 | Equations (884) can reduce 888 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (888) ~ (all_0_73_73 = e2)
% 40.64/11.49 | (889) all_0_73_73 = e1 | all_0_73_73 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (889), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (890) all_0_73_73 = e1
% 40.64/11.49 |
% 40.64/11.49 | Equations (890) can reduce 894 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (894) ~ (all_0_73_73 = e1)
% 40.64/11.49 | (895) all_0_73_73 = e0
% 40.64/11.49 |
% 40.64/11.49 | Equations (895) can reduce 1832 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (1120) ~ (all_0_81_81 = e3)
% 40.64/11.49 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (188), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (401) ~ (all_0_72_72 = e0)
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (24), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (407) all_0_72_72 = e3
% 40.64/11.49 |
% 40.64/11.49 | Equations (407) can reduce 515 to:
% 40.64/11.49 | (607) ~ (unit = e3)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 607 yields:
% 40.64/11.49 | (406) ~ (unit = e3)
% 40.64/11.49 |
% 40.64/11.49 | From (407) and (3266) follows:
% 40.64/11.49 | (1009) op(e1, e3) = e3
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 40.64/11.49 | (409) unit = e3
% 40.64/11.49 |
% 40.64/11.49 | Equations (409) can reduce 406 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (405) ~ (all_0_72_72 = e3)
% 40.64/11.49 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (230), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (403) ~ (all_0_72_72 = e1)
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (412), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (413) all_0_72_72 = e2
% 40.64/11.49 |
% 40.64/11.49 | From (413) and (3266) follows:
% 40.64/11.49 | (817) op(e1, e2) = e3
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 40.64/11.49 | (825) all_0_81_81 = e3
% 40.64/11.49 |
% 40.64/11.49 | Equations (825) can reduce 1120 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (419) ~ (all_0_72_72 = e2)
% 40.64/11.49 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 40.64/11.49 |
% 40.64/11.49 +-Applying beta-rule and splitting (433), into two cases.
% 40.64/11.49 |-Branch one:
% 40.64/11.49 | (434) all_0_72_72 = e1
% 40.64/11.49 |
% 40.64/11.49 | Equations (434) can reduce 403 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (403) ~ (all_0_72_72 = e1)
% 40.64/11.49 | (439) all_0_72_72 = e0
% 40.64/11.49 |
% 40.64/11.49 | Equations (439) can reduce 401 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (434) all_0_72_72 = e1
% 40.64/11.49 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 40.64/11.49 |
% 40.64/11.49 | From (434) and (3266) follows:
% 40.64/11.49 | (3364) op(e1, e1) = e3
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e1, e1, e3, all_0_82_82 and discharging atoms op(e1, e1) = all_0_82_82, op(e1, e1) = e3, yields:
% 40.64/11.49 | (448) all_0_82_82 = e3
% 40.64/11.49 |
% 40.64/11.49 | Equations (448) can reduce 454 to:
% 40.64/11.49 | (304) $false
% 40.64/11.49 |
% 40.64/11.49 |-The branch is then unsatisfiable
% 40.64/11.49 |-Branch two:
% 40.64/11.49 | (439) all_0_72_72 = e0
% 40.64/11.49 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (4) follows:
% 40.64/11.49 | (591) op(e0, e3) = all_0_8_8
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (3257) follows:
% 40.64/11.49 | (1094) op(e0, e1) = e3
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (128) follows:
% 40.64/11.49 | (593) op(e0, e0) = all_0_11_11
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (2) follows:
% 40.64/11.49 | (594) op(e3, e0) = all_0_8_8
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (3266) follows:
% 40.64/11.49 | (2202) op(e1, e0) = e3
% 40.64/11.49 |
% 40.64/11.49 | From (439) and (196) follows:
% 40.64/11.49 | (596) op(e0, e0) = all_0_56_56
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e3, e0, all_0_8_8, all_0_75_75 and discharging atoms op(e3, e0) = all_0_8_8, op(e3, e0) = all_0_75_75, yields:
% 40.64/11.49 | (597) all_0_8_8 = all_0_75_75
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 40.64/11.49 | (1110) all_0_83_83 = e3
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e0, e3, all_0_8_8, all_0_84_84 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_84_84, yields:
% 40.64/11.49 | (599) all_0_8_8 = all_0_84_84
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e0, e1, e3, all_0_86_86 and discharging atoms op(e0, e1) = all_0_86_86, op(e0, e1) = e3, yields:
% 40.64/11.49 | (1114) all_0_86_86 = e3
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e0, e0, all_0_11_11, all_0_87_87 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_87_87, yields:
% 40.64/11.49 | (9791) all_0_11_11 = all_0_87_87
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e0, e0, all_0_56_56, all_0_11_11 and discharging atoms op(e0, e0) = all_0_11_11, op(e0, e0) = all_0_56_56, yields:
% 40.64/11.49 | (602) all_0_11_11 = all_0_56_56
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (597,599) yields a new equation:
% 40.64/11.49 | (603) all_0_75_75 = all_0_84_84
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 603 yields:
% 40.64/11.49 | (604) all_0_75_75 = all_0_84_84
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (9791,602) yields a new equation:
% 40.64/11.49 | (9793) all_0_56_56 = all_0_87_87
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (9793,602) yields a new equation:
% 40.64/11.49 | (9791) all_0_11_11 = all_0_87_87
% 40.64/11.49 |
% 40.64/11.49 | Equations (604) can reduce 274 to:
% 40.64/11.49 | (191) ~ (all_0_84_84 = all_0_87_87)
% 40.64/11.49 |
% 40.64/11.49 | Equations (604) can reduce 519 to:
% 40.64/11.49 | (533) ~ (all_0_84_84 = unit)
% 40.64/11.49 |
% 40.64/11.49 | Equations (1114) can reduce 51 to:
% 40.64/11.49 | (1059) ~ (all_0_84_84 = e3)
% 40.64/11.49 |
% 40.64/11.49 | From (599) and (1287) follows:
% 40.64/11.49 | (1391) op(all_0_84_84, e3) = e0
% 40.64/11.49 |
% 40.64/11.49 | From (604) and (15) follows:
% 40.64/11.49 | (1392) op(all_0_84_84, e3) = all_0_20_20
% 40.64/11.49 |
% 40.64/11.49 | From (604)(9791) and (100) follows:
% 40.64/11.49 | (10814) op(e3, all_0_84_84) = all_0_87_87
% 40.64/11.49 |
% 40.64/11.49 | From (1110) and (157) follows:
% 40.64/11.49 | (2437) op(e2, e3) = all_0_35_35
% 40.64/11.49 |
% 40.64/11.49 | From (1114) and (8147) follows:
% 40.64/11.49 | (723) op(e2, e3) = e1
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with all_0_84_84, e3, e0, all_0_20_20 and discharging atoms op(all_0_84_84, e3) = all_0_20_20, op(all_0_84_84, e3) = e0, yields:
% 40.64/11.49 | (1394) all_0_20_20 = e0
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e3, all_0_84_84, all_0_87_87, all_0_20_20 and discharging atoms op(e3, all_0_84_84) = all_0_20_20, op(e3, all_0_84_84) = all_0_87_87, yields:
% 40.64/11.49 | (10818) all_0_20_20 = all_0_87_87
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e2, e3, all_0_35_35, all_0_76_76 and discharging atoms op(e2, e3) = all_0_35_35, op(e2, e3) = all_0_76_76, yields:
% 40.64/11.49 | (10819) all_0_35_35 = all_0_76_76
% 40.64/11.49 |
% 40.64/11.49 | Instantiating formula (268) with e2, e3, e1, all_0_35_35 and discharging atoms op(e2, e3) = all_0_35_35, op(e2, e3) = e1, yields:
% 40.64/11.49 | (4240) all_0_35_35 = e1
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (10818,1394) yields a new equation:
% 40.64/11.49 | (10821) all_0_87_87 = e0
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 10821 yields:
% 40.64/11.49 | (479) all_0_87_87 = e0
% 40.64/11.49 |
% 40.64/11.49 | Combining equations (10819,4240) yields a new equation:
% 40.64/11.49 | (2861) all_0_76_76 = e1
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 2861 yields:
% 40.64/11.49 | (781) all_0_76_76 = e1
% 40.64/11.49 |
% 40.64/11.49 | Equations (781) can reduce 202 to:
% 40.64/11.49 | (3358) ~ (all_0_84_84 = e1)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 3358 yields:
% 40.64/11.49 | (1675) ~ (all_0_84_84 = e1)
% 40.64/11.49 |
% 40.64/11.49 | Equations (781) can reduce 1729 to:
% 40.64/11.49 | (928) ~ (unit = e1)
% 40.64/11.49 |
% 40.64/11.49 | Simplifying 928 yields:
% 40.64/11.49 | (404) ~ (unit = e1)
% 40.64/11.49 |
% 40.64/11.49 | Equations (479) can reduce 191 to:
% 40.64/11.49 | (1055) ~ (all_0_84_84 = e0)
% 40.64/11.49 |
% 40.64/11.49 | Equations (479) can reduce 1742 to:
% 40.64/11.49 | (1031) ~ (unit = e0)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 1031 yields:
% 40.64/11.50 | (402) ~ (unit = e0)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (240), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1073) all_0_84_84 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (1073) can reduce 1059 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1059) ~ (all_0_84_84 = e3)
% 40.64/11.50 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (694), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (699) all_0_74_74 = e2
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (699,3132) yields a new equation:
% 40.64/11.50 | (415) unit = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (415) can reduce 533 to:
% 40.64/11.50 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1661), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (618) all_0_84_84 = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (618) can reduce 1050 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.50 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1673), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1085) all_0_84_84 = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (1085) can reduce 1675 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1675) ~ (all_0_84_84 = e1)
% 40.64/11.50 | (1280) all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (1280) can reduce 1055 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (643) ~ (all_0_74_74 = e2)
% 40.64/11.50 | (702) all_0_74_74 = e1 | all_0_74_74 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (702), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (707) all_0_74_74 = e1
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (707,3132) yields a new equation:
% 40.64/11.50 | (436) unit = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (436) can reduce 404 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (715) ~ (all_0_74_74 = e1)
% 40.64/11.50 | (716) all_0_74_74 = e0
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (716,3132) yields a new equation:
% 40.64/11.50 | (441) unit = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (441) can reduce 402 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (906) all_0_2_2 = e1
% 40.64/11.50 | (907) ~ (all_0_8_8 = e0) | ~ (all_0_72_72 = e2)
% 40.64/11.50 |
% 40.64/11.50 | From (906) and (89) follows:
% 40.64/11.50 | (908) op(all_0_8_8, e3) = e1
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (11), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (691) all_0_74_74 = e3
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (691,3132) yields a new equation:
% 40.64/11.50 | (409) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | From (409) and (39) follows:
% 40.64/11.50 | (1010) op(e1, e3) = e1
% 40.64/11.50 |
% 40.64/11.50 | From (409) and (2868) follows:
% 40.64/11.50 | (1009) op(e1, e3) = e3
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 40.64/11.50 | (1017) e3 = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (1017) can reduce 215 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (680) ~ (all_0_74_74 = e3)
% 40.64/11.50 | (694) all_0_74_74 = e2 | all_0_74_74 = e1 | all_0_74_74 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (3132) can reduce 680 to:
% 40.64/11.50 | (406) ~ (unit = e3)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (184), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (598) all_0_79_79 = e3
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (8085,598) yields a new equation:
% 40.64/11.50 | (408) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 408 yields:
% 40.64/11.50 | (409) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (409) can reduce 406 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (659) ~ (all_0_79_79 = e3)
% 40.64/11.50 | (735) all_0_79_79 = e2 | all_0_79_79 = e1 | all_0_79_79 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (8085) can reduce 659 to:
% 40.64/11.50 | (406) ~ (unit = e3)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (23), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (600) all_0_85_85 = e3
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (600,8086) yields a new equation:
% 40.64/11.50 | (409) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (409) can reduce 406 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1436) ~ (all_0_85_85 = e3)
% 40.64/11.50 | (1546) all_0_85_85 = e2 | all_0_85_85 = e1 | all_0_85_85 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (8086) can reduce 1436 to:
% 40.64/11.50 | (406) ~ (unit = e3)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (245), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1015) all_0_80_80 = e3
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (3134,1015) yields a new equation:
% 40.64/11.50 | (408) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 408 yields:
% 40.64/11.50 | (409) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (409) can reduce 406 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1250) ~ (all_0_80_80 = e3)
% 40.64/11.50 | (1251) all_0_80_80 = e2 | all_0_80_80 = e1 | all_0_80_80 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (230), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (403) ~ (all_0_72_72 = e1)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (24), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (407) all_0_72_72 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (407) can reduce 515 to:
% 40.64/11.50 | (607) ~ (unit = e3)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 607 yields:
% 40.64/11.50 | (406) ~ (unit = e3)
% 40.64/11.50 |
% 40.64/11.50 | From (407) and (3266) follows:
% 40.64/11.50 | (1009) op(e1, e3) = e3
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e1, e3, e3, unit and discharging atoms op(e1, e3) = unit, op(e1, e3) = e3, yields:
% 40.64/11.50 | (409) unit = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (409) can reduce 406 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (405) ~ (all_0_72_72 = e3)
% 40.64/11.50 | (412) all_0_72_72 = e2 | all_0_72_72 = e1 | all_0_72_72 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (19), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (673) all_0_76_76 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (673) can reduce 202 to:
% 40.64/11.50 | (4909) ~ (all_0_84_84 = e3)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 4909 yields:
% 40.64/11.50 | (1059) ~ (all_0_84_84 = e3)
% 40.64/11.50 |
% 40.64/11.50 | From (673) and (8151) follows:
% 40.64/11.50 | (1356) op(e0, e3) = e3
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e0, e3, e3, all_0_84_84 and discharging atoms op(e0, e3) = all_0_84_84, op(e0, e3) = e3, yields:
% 40.64/11.50 | (1073) all_0_84_84 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (1073) can reduce 1059 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (677) ~ (all_0_76_76 = e3)
% 40.64/11.50 | (678) all_0_76_76 = e2 | all_0_76_76 = e1 | all_0_76_76 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (240), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1073) all_0_84_84 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (1073) can reduce 202 to:
% 40.64/11.50 | (677) ~ (all_0_76_76 = e3)
% 40.64/11.50 |
% 40.64/11.50 | From (1073) and (8146) follows:
% 40.64/11.50 | (903) op(e2, e3) = e3
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e2, e3, e3, all_0_76_76 and discharging atoms op(e2, e3) = all_0_76_76, op(e2, e3) = e3, yields:
% 40.64/11.50 | (673) all_0_76_76 = e3
% 40.64/11.50 |
% 40.64/11.50 | Equations (673) can reduce 677 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1059) ~ (all_0_84_84 = e3)
% 40.64/11.50 | (1661) all_0_84_84 = e2 | all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (151), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1110) all_0_83_83 = e3
% 40.64/11.50 |
% 40.64/11.50 | From (1110) and (193) follows:
% 40.64/11.50 | (3733) op(e3, e3) = all_0_52_52
% 40.64/11.50 |
% 40.64/11.50 | From (1110) and (8140) follows:
% 40.64/11.50 | (10016) op(e3, e2) = e1
% 40.64/11.50 |
% 40.64/11.50 | From (1110) and (9585) follows:
% 40.64/11.50 | (1864) op(e3, e3) = e0
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e3, e3, all_0_52_52, all_0_72_72 and discharging atoms op(e3, e3) = all_0_52_52, op(e3, e3) = all_0_72_72, yields:
% 40.64/11.50 | (10018) all_0_52_52 = all_0_72_72
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e3, e3, e0, all_0_52_52 and discharging atoms op(e3, e3) = all_0_52_52, op(e3, e3) = e0, yields:
% 40.64/11.50 | (3852) all_0_52_52 = e0
% 40.64/11.50 |
% 40.64/11.50 | Instantiating formula (268) with e3, e2, e1, all_0_73_73 and discharging atoms op(e3, e2) = all_0_73_73, op(e3, e2) = e1, yields:
% 40.64/11.50 | (890) all_0_73_73 = e1
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (10018,3852) yields a new equation:
% 40.64/11.50 | (10021) all_0_72_72 = e0
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 10021 yields:
% 40.64/11.50 | (439) all_0_72_72 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (439) can reduce 249 to:
% 40.64/11.50 | (1835) ~ (all_0_76_76 = e0)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 1835 yields:
% 40.64/11.50 | (1836) ~ (all_0_76_76 = e0)
% 40.64/11.50 |
% 40.64/11.50 | Equations (439) can reduce 132 to:
% 40.64/11.50 | (3539) ~ (all_0_84_84 = e0)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 3539 yields:
% 40.64/11.50 | (1055) ~ (all_0_84_84 = e0)
% 40.64/11.50 |
% 40.64/11.50 | Equations (439) can reduce 515 to:
% 40.64/11.50 | (1031) ~ (unit = e0)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 1031 yields:
% 40.64/11.50 | (402) ~ (unit = e0)
% 40.64/11.50 |
% 40.64/11.50 | Equations (890) can reduce 1725 to:
% 40.64/11.50 | (928) ~ (unit = e1)
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 928 yields:
% 40.64/11.50 | (404) ~ (unit = e1)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1251), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (843) all_0_80_80 = e2
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (3134,843) yields a new equation:
% 40.64/11.50 | (414) unit = e2
% 40.64/11.50 |
% 40.64/11.50 | Simplifying 414 yields:
% 40.64/11.50 | (415) unit = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (415) can reduce 1729 to:
% 40.64/11.50 | (765) ~ (all_0_76_76 = e2)
% 40.64/11.50 |
% 40.64/11.50 | Equations (415) can reduce 533 to:
% 40.64/11.50 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1661), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (618) all_0_84_84 = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (618) can reduce 1050 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.50 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (678), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (761) all_0_76_76 = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (761) can reduce 765 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (765) ~ (all_0_76_76 = e2)
% 40.64/11.50 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1673), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1085) all_0_84_84 = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (1085) can reduce 202 to:
% 40.64/11.50 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (766), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (781) all_0_76_76 = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (781) can reduce 797 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.50 | (798) all_0_76_76 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (798) can reduce 1836 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1675) ~ (all_0_84_84 = e1)
% 40.64/11.50 | (1280) all_0_84_84 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (1280) can reduce 1055 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1103) ~ (all_0_80_80 = e2)
% 40.64/11.50 | (1264) all_0_80_80 = e1 | all_0_80_80 = e0
% 40.64/11.50 |
% 40.64/11.50 | Equations (3134) can reduce 1103 to:
% 40.64/11.50 | (622) ~ (unit = e2)
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1546), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1558) all_0_85_85 = e2
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (1558,8086) yields a new equation:
% 40.64/11.50 | (415) unit = e2
% 40.64/11.50 |
% 40.64/11.50 | Equations (415) can reduce 622 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1498) ~ (all_0_85_85 = e2)
% 40.64/11.50 | (1561) all_0_85_85 = e1 | all_0_85_85 = e0
% 40.64/11.50 |
% 40.64/11.50 +-Applying beta-rule and splitting (1561), into two cases.
% 40.64/11.50 |-Branch one:
% 40.64/11.50 | (1566) all_0_85_85 = e1
% 40.64/11.50 |
% 40.64/11.50 | Combining equations (1566,8086) yields a new equation:
% 40.64/11.50 | (436) unit = e1
% 40.64/11.50 |
% 40.64/11.50 | Equations (436) can reduce 404 to:
% 40.64/11.50 | (304) $false
% 40.64/11.50 |
% 40.64/11.50 |-The branch is then unsatisfiable
% 40.64/11.50 |-Branch two:
% 40.64/11.50 | (1540) ~ (all_0_85_85 = e1)
% 40.64/11.50 | (1569) all_0_85_85 = e0
% 40.64/11.50 |
% 40.64/11.51 | Combining equations (1569,8086) yields a new equation:
% 40.64/11.51 | (441) unit = e0
% 40.64/11.51 |
% 40.64/11.51 | Equations (441) can reduce 402 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (1058) ~ (all_0_83_83 = e3)
% 40.64/11.51 | (1113) all_0_83_83 = e2 | all_0_83_83 = e1 | all_0_83_83 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (176), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (825) all_0_81_81 = e3
% 40.64/11.51 |
% 40.64/11.51 | From (825) and (127) follows:
% 40.64/11.51 | (9734) op(e3, e3) = all_0_44_44
% 40.64/11.51 |
% 40.64/11.51 | From (825) and (8139) follows:
% 40.64/11.51 | (1977) op(e3, e0) = e1
% 40.64/11.51 |
% 40.64/11.51 | From (825) and (9583) follows:
% 40.64/11.51 | (665) op(e3, e3) = e2
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e3, e3, all_0_44_44, all_0_72_72 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = all_0_72_72, yields:
% 40.64/11.51 | (9737) all_0_44_44 = all_0_72_72
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e3, e3, e2, all_0_44_44 and discharging atoms op(e3, e3) = all_0_44_44, op(e3, e3) = e2, yields:
% 40.64/11.51 | (9738) all_0_44_44 = e2
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e3, e0, e1, all_0_75_75 and discharging atoms op(e3, e0) = all_0_75_75, op(e3, e0) = e1, yields:
% 40.64/11.51 | (740) all_0_75_75 = e1
% 40.64/11.51 |
% 40.64/11.51 | Combining equations (9737,9738) yields a new equation:
% 40.64/11.51 | (9740) all_0_72_72 = e2
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 9740 yields:
% 40.64/11.51 | (413) all_0_72_72 = e2
% 40.64/11.51 |
% 40.64/11.51 | Equations (413) can reduce 249 to:
% 40.64/11.51 | (10978) ~ (all_0_76_76 = e2)
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 10978 yields:
% 40.64/11.51 | (765) ~ (all_0_76_76 = e2)
% 40.64/11.51 |
% 40.64/11.51 | Equations (413) can reduce 132 to:
% 40.64/11.51 | (6216) ~ (all_0_84_84 = e2)
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 6216 yields:
% 40.64/11.51 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.51 |
% 40.64/11.51 | Equations (413) can reduce 515 to:
% 40.64/11.51 | (621) ~ (unit = e2)
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 621 yields:
% 40.64/11.51 | (622) ~ (unit = e2)
% 40.64/11.51 |
% 40.64/11.51 | Equations (740) can reduce 519 to:
% 40.64/11.51 | (928) ~ (unit = e1)
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 928 yields:
% 40.64/11.51 | (404) ~ (unit = e1)
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (735), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (687) all_0_79_79 = e2
% 40.64/11.51 |
% 40.64/11.51 | Combining equations (8085,687) yields a new equation:
% 40.64/11.51 | (414) unit = e2
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 414 yields:
% 40.64/11.51 | (415) unit = e2
% 40.64/11.51 |
% 40.64/11.51 | Equations (415) can reduce 622 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (730) ~ (all_0_79_79 = e2)
% 40.64/11.51 | (749) all_0_79_79 = e1 | all_0_79_79 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (749), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (750) all_0_79_79 = e1
% 40.64/11.51 |
% 40.64/11.51 | Combining equations (8085,750) yields a new equation:
% 40.64/11.51 | (435) unit = e1
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 435 yields:
% 40.64/11.51 | (436) unit = e1
% 40.64/11.51 |
% 40.64/11.51 | Equations (436) can reduce 404 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (731) ~ (all_0_79_79 = e1)
% 40.64/11.51 | (753) all_0_79_79 = e0
% 40.64/11.51 |
% 40.64/11.51 | Combining equations (8085,753) yields a new equation:
% 40.64/11.51 | (440) unit = e0
% 40.64/11.51 |
% 40.64/11.51 | Simplifying 440 yields:
% 40.64/11.51 | (441) unit = e0
% 40.64/11.51 |
% 40.64/11.51 | Equations (441) can reduce 1729 to:
% 40.64/11.51 | (1836) ~ (all_0_76_76 = e0)
% 40.64/11.51 |
% 40.64/11.51 | Equations (441) can reduce 533 to:
% 40.64/11.51 | (1055) ~ (all_0_84_84 = e0)
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (1661), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (618) all_0_84_84 = e2
% 40.64/11.51 |
% 40.64/11.51 | Equations (618) can reduce 1050 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (1050) ~ (all_0_84_84 = e2)
% 40.64/11.51 | (1673) all_0_84_84 = e1 | all_0_84_84 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (1673), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (1085) all_0_84_84 = e1
% 40.64/11.51 |
% 40.64/11.51 | Equations (1085) can reduce 202 to:
% 40.64/11.51 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (678), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (761) all_0_76_76 = e2
% 40.64/11.51 |
% 40.64/11.51 | Equations (761) can reduce 765 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (765) ~ (all_0_76_76 = e2)
% 40.64/11.51 | (766) all_0_76_76 = e1 | all_0_76_76 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (766), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (781) all_0_76_76 = e1
% 40.64/11.51 |
% 40.64/11.51 | Equations (781) can reduce 797 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (797) ~ (all_0_76_76 = e1)
% 40.64/11.51 | (798) all_0_76_76 = e0
% 40.64/11.51 |
% 40.64/11.51 | Equations (798) can reduce 1836 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (1675) ~ (all_0_84_84 = e1)
% 40.64/11.51 | (1280) all_0_84_84 = e0
% 40.64/11.51 |
% 40.64/11.51 | Equations (1280) can reduce 1055 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (1120) ~ (all_0_81_81 = e3)
% 40.64/11.51 | (1142) all_0_81_81 = e2 | all_0_81_81 = e1 | all_0_81_81 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (188), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (401) ~ (all_0_72_72 = e0)
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (412), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (413) all_0_72_72 = e2
% 40.64/11.51 |
% 40.64/11.51 | From (413) and (3266) follows:
% 40.64/11.51 | (817) op(e1, e2) = e3
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e1, e2, e3, all_0_81_81 and discharging atoms op(e1, e2) = all_0_81_81, op(e1, e2) = e3, yields:
% 40.64/11.51 | (825) all_0_81_81 = e3
% 40.64/11.51 |
% 40.64/11.51 | Equations (825) can reduce 1120 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (419) ~ (all_0_72_72 = e2)
% 40.64/11.51 | (433) all_0_72_72 = e1 | all_0_72_72 = e0
% 40.64/11.51 |
% 40.64/11.51 +-Applying beta-rule and splitting (433), into two cases.
% 40.64/11.51 |-Branch one:
% 40.64/11.51 | (434) all_0_72_72 = e1
% 40.64/11.51 |
% 40.64/11.51 | Equations (434) can reduce 403 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (403) ~ (all_0_72_72 = e1)
% 40.64/11.51 | (439) all_0_72_72 = e0
% 40.64/11.51 |
% 40.64/11.51 | Equations (439) can reduce 401 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (439) all_0_72_72 = e0
% 40.64/11.51 | (476) ~ (all_0_77_77 = e0) | ~ (all_0_82_82 = e0) | ~ (all_0_87_87 = e0)
% 40.64/11.51 |
% 40.64/11.51 | From (439) and (3266) follows:
% 40.64/11.51 | (2202) op(e1, e0) = e3
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e1, e0, e3, all_0_83_83 and discharging atoms op(e1, e0) = all_0_83_83, op(e1, e0) = e3, yields:
% 40.64/11.51 | (1110) all_0_83_83 = e3
% 40.64/11.51 |
% 40.64/11.51 | Equations (1110) can reduce 1058 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 |-Branch two:
% 40.64/11.51 | (434) all_0_72_72 = e1
% 40.64/11.51 | (460) ~ (all_0_77_77 = e1) | ~ (all_0_82_82 = e1) | ~ (all_0_87_87 = e1)
% 40.64/11.51 |
% 40.64/11.51 | From (434) and (4) follows:
% 40.64/11.51 | (816) op(e1, e3) = all_0_8_8
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with e1, e3, all_0_8_8, unit and discharging atoms op(e1, e3) = all_0_8_8, op(e1, e3) = unit, yields:
% 40.64/11.51 | (652) all_0_8_8 = unit
% 40.64/11.51 |
% 40.64/11.51 | From (652) and (908) follows:
% 40.64/11.51 | (965) op(unit, e3) = e1
% 40.64/11.51 |
% 40.64/11.51 | Instantiating formula (268) with unit, e3, e1, e3 and discharging atoms op(unit, e3) = e3, op(unit, e3) = e1, yields:
% 40.64/11.51 | (1017) e3 = e1
% 40.64/11.51 |
% 40.64/11.51 | Equations (1017) can reduce 215 to:
% 40.64/11.51 | (304) $false
% 40.64/11.51 |
% 40.64/11.51 |-The branch is then unsatisfiable
% 40.64/11.51 % SZS output end Proof for theBenchmark
% 40.64/11.51
% 40.64/11.51 10914ms
%------------------------------------------------------------------------------