TSTP Solution File: ALG100+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG100+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:00 EDT 2022
% Result : Unsatisfiable 49.77s 17.51s
% Output : Proof 141.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG100+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 7 21:36:36 EDT 2022
% 0.14/0.29 % CPUTime :
% 0.14/0.48 ____ _
% 0.14/0.48 ___ / __ \_____(_)___ ________ __________
% 0.14/0.48 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.14/0.48 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.14/0.48 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.14/0.48
% 0.14/0.48 A Theorem Prover for First-Order Logic
% 0.14/0.49 (ePrincess v.1.0)
% 0.14/0.49
% 0.14/0.49 (c) Philipp Rümmer, 2009-2015
% 0.14/0.49 (c) Peter Backeman, 2014-2015
% 0.14/0.49 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.14/0.49 Free software under GNU Lesser General Public License (LGPL).
% 0.14/0.49 Bug reports to peter@backeman.se
% 0.14/0.49
% 0.14/0.49 For more information, visit http://user.uu.se/~petba168/breu/
% 0.14/0.49
% 0.14/0.49 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.14/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.46/1.08 Prover 0: Preprocessing ...
% 4.80/1.59 Prover 0: Constructing countermodel ...
% 22.07/5.82 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 22.41/5.97 Prover 1: Preprocessing ...
% 23.15/6.14 Prover 1: Constructing countermodel ...
% 29.80/8.42 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 30.43/8.59 Prover 2: Preprocessing ...
% 31.04/8.79 Prover 2: Warning: ignoring some quantifiers
% 31.04/8.80 Prover 2: Constructing countermodel ...
% 39.27/11.44 Prover 0: stopped
% 39.69/11.64 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 40.17/11.78 Prover 3: Preprocessing ...
% 40.39/11.89 Prover 3: Constructing countermodel ...
% 49.77/17.51 Prover 3: proved (5874ms)
% 49.77/17.51 Prover 1: stopped
% 49.77/17.51 Prover 2: stopped
% 49.77/17.51
% 49.77/17.51 No countermodel exists, formula is valid
% 49.77/17.51 % SZS status Unsatisfiable for theBenchmark
% 49.77/17.51
% 49.77/17.51 Generating proof ... found it (size 111626)
% 103.19/55.84
% 103.19/55.84 % SZS output start Proof for theBenchmark
% 103.19/55.84 Assumed formulas after preprocessing and simplification:
% 103.19/55.84 | (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] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, unit) = e3 & op(e3, e4) = v19 & op(e3, e3) = v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, unit) = e2 & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = v10 & op(e1, unit) = e1 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (op(v43, v42) = v41) | ~ (op(v43, v42) = v40)) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e2) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e1)) | (v25 = v19 & ~ (v19 = e0))) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e2) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e0)) | (v25 = v19 & ~ (v19 = e1))) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e1) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e2)) | (v25 = v19 & ~ (v19 = e0))) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e1) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e0)) | (v25 = v19 & ~ (v19 = e2))) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e0) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e2)) | (v25 = v19 & ~ (v19 = e1))) & ( ~ (v24 = e3) | (v26 = v23 & ~ (v27 = e0) & op(v23, e4) = v27) | (v26 = v23 & ~ (v23 = e1)) | (v25 = v19 & ~ (v19 = e2))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e3) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e1)) | (v25 = v14 & ~ (v14 = e0))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e3) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e0)) | (v25 = v14 & ~ (v14 = e1))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e1) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e3)) | (v25 = v14 & ~ (v14 = e0))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e1) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e0)) | (v25 = v14 & ~ (v14 = e3))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e0) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e3)) | (v25 = v14 & ~ (v14 = e1))) & ( ~ (v24 = e2) | (v26 = v22 & ~ (v27 = e0) & op(v22, e4) = v27) | (v26 = v22 & ~ (v22 = e1)) | (v25 = v14 & ~ (v14 = e3))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e3) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e2)) | (v25 = v9 & ~ (v9 = e0))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e3) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e0)) | (v25 = v9 & ~ (v9 = e2))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e2) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e3)) | (v25 = v9 & ~ (v9 = e0))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e2) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e0)) | (v25 = v9 & ~ (v9 = e3))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e0) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e3)) | (v25 = v9 & ~ (v9 = e2))) & ( ~ (v24 = e1) | (v26 = v21 & ~ (v27 = e0) & op(v21, e4) = v27) | (v26 = v21 & ~ (v21 = e2)) | (v25 = v9 & ~ (v9 = e3))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e3) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e2)) | (v25 = v4 & ~ (v4 = e1))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e3) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e1)) | (v25 = v4 & ~ (v4 = e2))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e2) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e3)) | (v25 = v4 & ~ (v4 = e1))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e2) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e1)) | (v25 = v4 & ~ (v4 = e3))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e1) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e3)) | (v25 = v4 & ~ (v4 = e2))) & ( ~ (v24 = e0) | (v26 = v20 & ~ (v27 = e1) & op(v20, e4) = v27) | (v26 = v20 & ~ (v20 = e2)) | (v25 = v4 & ~ (v4 = e3))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e2) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e1)) | (v28 = v23 & ~ (v23 = e0))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e2) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e0)) | (v28 = v23 & ~ (v23 = e1))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e1) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e2)) | (v28 = v23 & ~ (v23 = e0))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e1) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e0)) | (v28 = v23 & ~ (v23 = e2))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e0) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e2)) | (v28 = v23 & ~ (v23 = e1))) & ( ~ (v18 = e4) | (v29 = v19 & ~ (v30 = e0) & op(v19, e3) = v30) | (v29 = v19 & ~ (v19 = e1)) | (v28 = v23 & ~ (v23 = e2))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e4) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e1)) | (v28 = v13 & ~ (v13 = e0))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e4) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e0)) | (v28 = v13 & ~ (v13 = e1))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e1) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e4)) | (v28 = v13 & ~ (v13 = e0))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e1) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e0)) | (v28 = v13 & ~ (v13 = e4))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e0) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e4)) | (v28 = v13 & ~ (v13 = e1))) & ( ~ (v18 = e2) | (v29 = v17 & ~ (v30 = e0) & op(v17, e3) = v30) | (v29 = v17 & ~ (v17 = e1)) | (v28 = v13 & ~ (v13 = e4))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e4) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e2)) | (v28 = v8 & ~ (v8 = e0))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e4) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e0)) | (v28 = v8 & ~ (v8 = e2))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e2) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e4)) | (v28 = v8 & ~ (v8 = e0))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e2) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e0)) | (v28 = v8 & ~ (v8 = e4))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e0) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e4)) | (v28 = v8 & ~ (v8 = e2))) & ( ~ (v18 = e1) | (v29 = v16 & ~ (v30 = e0) & op(v16, e3) = v30) | (v29 = v16 & ~ (v16 = e2)) | (v28 = v8 & ~ (v8 = e4))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e4) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e2)) | (v28 = v3 & ~ (v3 = e1))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e4) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e1)) | (v28 = v3 & ~ (v3 = e2))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e2) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e4)) | (v28 = v3 & ~ (v3 = e1))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e2) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e1)) | (v28 = v3 & ~ (v3 = e4))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e1) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e4)) | (v28 = v3 & ~ (v3 = e2))) & ( ~ (v18 = e0) | (v29 = v15 & ~ (v30 = e1) & op(v15, e3) = v30) | (v29 = v15 & ~ (v15 = e2)) | (v28 = v3 & ~ (v3 = e4))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e3) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e1)) | (v31 = v22 & ~ (v22 = e0))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e3) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e0)) | (v31 = v22 & ~ (v22 = e1))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e1) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e3)) | (v31 = v22 & ~ (v22 = e0))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e1) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e0)) | (v31 = v22 & ~ (v22 = e3))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e0) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e3)) | (v31 = v22 & ~ (v22 = e1))) & ( ~ (v12 = e4) | (v32 = v14 & ~ (v33 = e0) & op(v14, e2) = v33) | (v32 = v14 & ~ (v14 = e1)) | (v31 = v22 & ~ (v22 = e3))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e4) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e1)) | (v31 = v17 & ~ (v17 = e0))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e4) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e0)) | (v31 = v17 & ~ (v17 = e1))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e1) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e4)) | (v31 = v17 & ~ (v17 = e0))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e1) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e0)) | (v31 = v17 & ~ (v17 = e4))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e0) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e4)) | (v31 = v17 & ~ (v17 = e1))) & ( ~ (v12 = e3) | (v32 = v13 & ~ (v33 = e0) & op(v13, e2) = v33) | (v32 = v13 & ~ (v13 = e1)) | (v31 = v17 & ~ (v17 = e4))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e4) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e3)) | (v31 = v7 & ~ (v7 = e0))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e4) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e0)) | (v31 = v7 & ~ (v7 = e3))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e3) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e4)) | (v31 = v7 & ~ (v7 = e0))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e3) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e0)) | (v31 = v7 & ~ (v7 = e4))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e0) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e4)) | (v31 = v7 & ~ (v7 = e3))) & ( ~ (v12 = e1) | (v32 = v11 & ~ (v33 = e0) & op(v11, e2) = v33) | (v32 = v11 & ~ (v11 = e3)) | (v31 = v7 & ~ (v7 = e4))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e4) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e3)) | (v31 = v2 & ~ (v2 = e1))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e4) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e1)) | (v31 = v2 & ~ (v2 = e3))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e3) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e4)) | (v31 = v2 & ~ (v2 = e1))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e3) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e1)) | (v31 = v2 & ~ (v2 = e4))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e1) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e4)) | (v31 = v2 & ~ (v2 = e3))) & ( ~ (v12 = e0) | (v32 = v10 & ~ (v33 = e1) & op(v10, e2) = v33) | (v32 = v10 & ~ (v10 = e3)) | (v31 = v2 & ~ (v2 = e4))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e3) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e2)) | (v34 = v21 & ~ (v21 = e0))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e3) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e0)) | (v34 = v21 & ~ (v21 = e2))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e2) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e3)) | (v34 = v21 & ~ (v21 = e0))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e2) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e0)) | (v34 = v21 & ~ (v21 = e3))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e0) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e3)) | (v34 = v21 & ~ (v21 = e2))) & ( ~ (v6 = e4) | (v35 = v9 & ~ (v36 = e0) & op(v9, e1) = v36) | (v35 = v9 & ~ (v9 = e2)) | (v34 = v21 & ~ (v21 = e3))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e4) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e2)) | (v34 = v16 & ~ (v16 = e0))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e4) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e0)) | (v34 = v16 & ~ (v16 = e2))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e2) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e4)) | (v34 = v16 & ~ (v16 = e0))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e2) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e0)) | (v34 = v16 & ~ (v16 = e4))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e0) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e4)) | (v34 = v16 & ~ (v16 = e2))) & ( ~ (v6 = e3) | (v35 = v8 & ~ (v36 = e0) & op(v8, e1) = v36) | (v35 = v8 & ~ (v8 = e2)) | (v34 = v16 & ~ (v16 = e4))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e4) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e3)) | (v34 = v11 & ~ (v11 = e0))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e4) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e0)) | (v34 = v11 & ~ (v11 = e3))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e3) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e4)) | (v34 = v11 & ~ (v11 = e0))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e3) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e0)) | (v34 = v11 & ~ (v11 = e4))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e0) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e4)) | (v34 = v11 & ~ (v11 = e3))) & ( ~ (v6 = e2) | (v35 = v7 & ~ (v36 = e0) & op(v7, e1) = v36) | (v35 = v7 & ~ (v7 = e3)) | (v34 = v11 & ~ (v11 = e4))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e4) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e3)) | (v34 = v1 & ~ (v1 = e2))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e4) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e2)) | (v34 = v1 & ~ (v1 = e3))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e3) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e4)) | (v34 = v1 & ~ (v1 = e2))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e3) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e2)) | (v34 = v1 & ~ (v1 = e4))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e2) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e4)) | (v34 = v1 & ~ (v1 = e3))) & ( ~ (v6 = e0) | (v35 = v5 & ~ (v36 = e2) & op(v5, e1) = v36) | (v35 = v5 & ~ (v5 = e3)) | (v34 = v1 & ~ (v1 = e4))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e3) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e2)) | (v37 = v20 & ~ (v20 = e1))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e3) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e1)) | (v37 = v20 & ~ (v20 = e2))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e2) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e3)) | (v37 = v20 & ~ (v20 = e1))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e2) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e1)) | (v37 = v20 & ~ (v20 = e3))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e1) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e3)) | (v37 = v20 & ~ (v20 = e2))) & ( ~ (v0 = e4) | (v38 = v4 & ~ (v39 = e1) & op(v4, e0) = v39) | (v38 = v4 & ~ (v4 = e2)) | (v37 = v20 & ~ (v20 = e3))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e4) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e2)) | (v37 = v15 & ~ (v15 = e1))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e4) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e1)) | (v37 = v15 & ~ (v15 = e2))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e2) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e4)) | (v37 = v15 & ~ (v15 = e1))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e2) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e1)) | (v37 = v15 & ~ (v15 = e4))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e1) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e4)) | (v37 = v15 & ~ (v15 = e2))) & ( ~ (v0 = e3) | (v38 = v3 & ~ (v39 = e1) & op(v3, e0) = v39) | (v38 = v3 & ~ (v3 = e2)) | (v37 = v15 & ~ (v15 = e4))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e4) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e3)) | (v37 = v10 & ~ (v10 = e1))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e4) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e1)) | (v37 = v10 & ~ (v10 = e3))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e3) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e4)) | (v37 = v10 & ~ (v10 = e1))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e3) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e1)) | (v37 = v10 & ~ (v10 = e4))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e1) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e4)) | (v37 = v10 & ~ (v10 = e3))) & ( ~ (v0 = e2) | (v38 = v2 & ~ (v39 = e1) & op(v2, e0) = v39) | (v38 = v2 & ~ (v2 = e3)) | (v37 = v10 & ~ (v10 = e4))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e4) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e3)) | (v37 = v5 & ~ (v5 = e2))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e4) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e2)) | (v37 = v5 & ~ (v5 = e3))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e3) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e4)) | (v37 = v5 & ~ (v5 = e2))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e3) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e2)) | (v37 = v5 & ~ (v5 = e4))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e2) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e4)) | (v37 = v5 & ~ (v5 = e3))) & ( ~ (v0 = e1) | (v38 = v1 & ~ (v39 = e2) & op(v1, e0) = v39) | (v38 = v1 & ~ (v1 = e3)) | (v37 = v5 & ~ (v5 = e4))) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 | v24 = e0) & (v24 = e4 | v23 = e4 | v22 = e4 | v21 = e4 | v20 = e4) & (v24 = e4 | v19 = e4 | v14 = e4 | v9 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v22 = e3 | v21 = e3 | v20 = e3) & (v24 = e3 | v19 = e3 | v14 = e3 | v9 = e3 | v4 = e3) & (v24 = e2 | v23 = e2 | v22 = e2 | v21 = e2 | v20 = e2) & (v24 = e2 | v19 = e2 | v14 = e2 | v9 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v22 = e1 | v21 = e1 | v20 = e1) & (v24 = e1 | v19 = e1 | v14 = e1 | v9 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v22 = e0 | v21 = e0 | v20 = e0) & (v24 = e0 | v19 = e0 | v14 = e0 | v9 = e0 | v4 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = e0) & (v23 = e4 | v18 = e4 | v13 = e4 | v8 = e4 | v3 = e4) & (v23 = e3 | v18 = e3 | v13 = e3 | v8 = e3 | v3 = e3) & (v23 = e2 | v18 = e2 | v13 = e2 | v8 = e2 | v3 = e2) & (v23 = e1 | v18 = e1 | v13 = e1 | v8 = e1 | v3 = e1) & (v23 = e0 | v18 = e0 | v13 = e0 | v8 = e0 | v3 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v22 = e4 | v17 = e4 | v12 = e4 | v7 = e4 | v2 = e4) & (v22 = e3 | v17 = e3 | v12 = e3 | v7 = e3 | v2 = e3) & (v22 = e2 | v17 = e2 | v12 = e2 | v7 = e2 | v2 = e2) & (v22 = e1 | v17 = e1 | v12 = e1 | v7 = e1 | v2 = e1) & (v22 = e0 | v17 = e0 | v12 = e0 | v7 = e0 | v2 = e0) & (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v21 = e4 | v16 = e4 | v11 = e4 | v6 = e4 | v1 = e4) & (v21 = e3 | v16 = e3 | v11 = e3 | v6 = e3 | v1 = e3) & (v21 = e2 | v16 = e2 | v11 = e2 | v6 = e2 | v1 = e2) & (v21 = e1 | v16 = e1 | v11 = e1 | v6 = e1 | v1 = e1) & (v21 = e0 | v16 = e0 | v11 = e0 | v6 = e0 | v1 = e0) & (v20 = e4 | v20 = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v20 = e4 | v15 = e4 | v10 = e4 | v5 = e4 | v0 = e4) & (v20 = e3 | v15 = e3 | v10 = e3 | v5 = e3 | v0 = e3) & (v20 = e2 | v15 = e2 | v10 = e2 | v5 = e2 | v0 = e2) & (v20 = e1 | v15 = e1 | v10 = e1 | v5 = e1 | v0 = e1) & (v20 = e0 | v15 = e0 | v10 = e0 | v5 = e0 | v0 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | v19 = e1 | v19 = e0) & (v19 = e4 | v18 = e4 | v17 = e4 | v16 = e4 | v15 = e4) & (v19 = e3 | v18 = e3 | v17 = e3 | v16 = e3 | v15 = e3) & (v19 = e2 | v18 = e2 | v17 = e2 | v16 = e2 | v15 = e2) & (v19 = e1 | v18 = e1 | v17 = e1 | v16 = e1 | v15 = e1) & (v19 = e0 | v18 = e0 | v17 = e0 | v16 = e0 | v15 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e4 | v13 = e4 | v12 = e4 | v11 = e4 | v10 = e4) & (v14 = e3 | v13 = e3 | v12 = e3 | v11 = e3 | v10 = e3) & (v14 = e2 | v13 = e2 | v12 = e2 | v11 = e2 | v10 = e2) & (v14 = e1 | v13 = e1 | v12 = e1 | v11 = e1 | v10 = e1) & (v14 = e0 | v13 = e0 | v12 = e0 | v11 = e0 | v10 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v9 = e4 | v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4) & (v9 = e3 | v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3) & (v9 = e2 | v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2) & (v9 = e1 | v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1) & (v9 = e0 | v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v8 = e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v24 = e3 & v18 = e4 & ~ (v23 = e4)) | (v24 = e3 & v18 = e4 & ~ (v19 = e3)) | (v24 = e2 & v12 = e4 & ~ (v22 = e4)) | (v24 = e2 & v12 = e4 & ~ (v14 = e2)) | (v24 = e1 & v6 = e4 & ~ (v21 = e4)) | (v24 = e1 & v6 = e4 & ~ (v9 = e1)) | (v24 = e0 & v0 = e4 & ~ (v20 = e4)) | (v24 = e0 & v0 = e4 & ~ (v4 = e0)) | (v18 = e2 & v12 = e3 & ~ (v17 = e3)) | (v18 = e2 & v12 = e3 & ~ (v13 = e2)) | (v18 = e1 & v6 = e3 & ~ (v16 = e3)) | (v18 = e1 & v6 = e3 & ~ (v8 = e1)) | (v18 = e0 & v0 = e3 & ~ (v15 = e3)) | (v18 = e0 & v0 = e3 & ~ (v3 = e0)) | (v12 = e1 & v6 = e2 & ~ (v11 = e2)) | (v12 = e1 & v6 = e2 & ~ (v7 = e1)) | (v12 = e0 & v0 = e2 & ~ (v10 = e2)) | (v12 = e0 & v0 = e2 & ~ (v2 = e0)) | (v6 = e0 & v0 = e1 & ~ (v5 = e1)) | (v6 = e0 & v0 = e1 & ~ (v1 = e0))))
% 103.64/55.94 | 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 yields:
% 103.64/55.94 | (1) ~ (all_0_15_15 = all_0_16_16) & ~ (all_0_15_15 = all_0_17_17) & ~ (all_0_15_15 = all_0_18_18) & ~ (all_0_15_15 = all_0_19_19) & ~ (all_0_15_15 = all_0_20_20) & ~ (all_0_15_15 = all_0_25_25) & ~ (all_0_15_15 = all_0_30_30) & ~ (all_0_15_15 = all_0_35_35) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_21_21) & ~ (all_0_16_16 = all_0_26_26) & ~ (all_0_16_16 = all_0_31_31) & ~ (all_0_16_16 = all_0_36_36) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_22_22) & ~ (all_0_17_17 = all_0_27_27) & ~ (all_0_17_17 = all_0_32_32) & ~ (all_0_17_17 = all_0_37_37) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_23_23) & ~ (all_0_18_18 = all_0_28_28) & ~ (all_0_18_18 = all_0_33_33) & ~ (all_0_18_18 = all_0_38_38) & ~ (all_0_19_19 = all_0_24_24) & ~ (all_0_19_19 = all_0_29_29) & ~ (all_0_19_19 = all_0_34_34) & ~ (all_0_19_19 = all_0_39_39) & ~ (all_0_20_20 = all_0_21_21) & ~ (all_0_20_20 = all_0_22_22) & ~ (all_0_20_20 = all_0_23_23) & ~ (all_0_20_20 = all_0_24_24) & ~ (all_0_20_20 = all_0_25_25) & ~ (all_0_20_20 = all_0_30_30) & ~ (all_0_20_20 = all_0_35_35) & ~ (all_0_21_21 = all_0_22_22) & ~ (all_0_21_21 = all_0_23_23) & ~ (all_0_21_21 = all_0_24_24) & ~ (all_0_21_21 = all_0_26_26) & ~ (all_0_21_21 = all_0_31_31) & ~ (all_0_21_21 = all_0_36_36) & ~ (all_0_22_22 = all_0_23_23) & ~ (all_0_22_22 = all_0_24_24) & ~ (all_0_22_22 = all_0_27_27) & ~ (all_0_22_22 = all_0_32_32) & ~ (all_0_22_22 = all_0_37_37) & ~ (all_0_23_23 = all_0_24_24) & ~ (all_0_23_23 = all_0_28_28) & ~ (all_0_23_23 = all_0_33_33) & ~ (all_0_23_23 = all_0_38_38) & ~ (all_0_24_24 = all_0_29_29) & ~ (all_0_24_24 = all_0_34_34) & ~ (all_0_24_24 = all_0_39_39) & ~ (all_0_25_25 = all_0_26_26) & ~ (all_0_25_25 = all_0_27_27) & ~ (all_0_25_25 = all_0_28_28) & ~ (all_0_25_25 = all_0_29_29) & ~ (all_0_25_25 = all_0_30_30) & ~ (all_0_25_25 = all_0_35_35) & ~ (all_0_26_26 = all_0_27_27) & ~ (all_0_26_26 = all_0_28_28) & ~ (all_0_26_26 = all_0_29_29) & ~ (all_0_26_26 = all_0_31_31) & ~ (all_0_26_26 = all_0_36_36) & ~ (all_0_27_27 = all_0_28_28) & ~ (all_0_27_27 = all_0_29_29) & ~ (all_0_27_27 = all_0_32_32) & ~ (all_0_27_27 = all_0_37_37) & ~ (all_0_28_28 = all_0_29_29) & ~ (all_0_28_28 = all_0_33_33) & ~ (all_0_28_28 = all_0_38_38) & ~ (all_0_29_29 = all_0_34_34) & ~ (all_0_29_29 = all_0_39_39) & ~ (all_0_30_30 = all_0_31_31) & ~ (all_0_30_30 = all_0_32_32) & ~ (all_0_30_30 = all_0_33_33) & ~ (all_0_30_30 = all_0_34_34) & ~ (all_0_30_30 = all_0_35_35) & ~ (all_0_31_31 = all_0_32_32) & ~ (all_0_31_31 = all_0_33_33) & ~ (all_0_31_31 = all_0_34_34) & ~ (all_0_31_31 = all_0_36_36) & ~ (all_0_32_32 = all_0_33_33) & ~ (all_0_32_32 = all_0_34_34) & ~ (all_0_32_32 = all_0_37_37) & ~ (all_0_33_33 = all_0_34_34) & ~ (all_0_33_33 = all_0_38_38) & ~ (all_0_34_34 = all_0_39_39) & ~ (all_0_35_35 = all_0_36_36) & ~ (all_0_35_35 = all_0_37_37) & ~ (all_0_35_35 = all_0_38_38) & ~ (all_0_35_35 = all_0_39_39) & ~ (all_0_36_36 = all_0_37_37) & ~ (all_0_36_36 = all_0_38_38) & ~ (all_0_36_36 = all_0_39_39) & ~ (all_0_37_37 = all_0_38_38) & ~ (all_0_37_37 = all_0_39_39) & ~ (all_0_38_38 = all_0_39_39) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = all_0_15_15 & op(e4, e3) = all_0_16_16 & op(e4, e2) = all_0_17_17 & op(e4, e1) = all_0_18_18 & op(e4, e0) = all_0_19_19 & op(e3, unit) = e3 & op(e3, e4) = all_0_20_20 & op(e3, e3) = all_0_21_21 & op(e3, e2) = all_0_22_22 & op(e3, e1) = all_0_23_23 & op(e3, e0) = all_0_24_24 & op(e2, unit) = e2 & op(e2, e4) = all_0_25_25 & op(e2, e3) = all_0_26_26 & op(e2, e2) = all_0_27_27 & op(e2, e1) = all_0_28_28 & op(e2, e0) = all_0_29_29 & op(e1, unit) = e1 & op(e1, e4) = all_0_30_30 & op(e1, e3) = all_0_31_31 & op(e1, e2) = all_0_32_32 & op(e1, e1) = all_0_33_33 & op(e1, e0) = all_0_34_34 & op(e0, unit) = e0 & op(e0, e4) = all_0_35_35 & op(e0, e3) = all_0_36_36 & op(e0, e2) = all_0_37_37 & op(e0, e1) = all_0_38_38 & op(e0, e0) = all_0_39_39 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))) & ( ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))) & ( ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))) & ( ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))) & ( ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))) & ( ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e4) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e0))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e4) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e1))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e1) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e0))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e1) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e4))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e0) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e1))) & ( ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e0) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e4))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e4) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e0))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e4) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e2))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e2) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e0))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e2) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e4))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e0) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e2))) & ( ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e0) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e4))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e4) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e1))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e4) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e2))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e2) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e1))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e2) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e4))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e1) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e2))) & ( ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e1) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e4))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))) & ( ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))) & ( ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))) & ( ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))) & ( ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))) & ( ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))) & ( ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))) & ( ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))) & ( ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))) & ( ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))) & ( ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e3))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e3))) & ( ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))) & ( ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))) & (all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0) & (all_0_15_15 = e4 | all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4) & (all_0_15_15 = e4 | all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4) & (all_0_15_15 = e3 | all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3) & (all_0_15_15 = e3 | all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3) & (all_0_15_15 = e2 | all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2) & (all_0_15_15 = e2 | all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2) & (all_0_15_15 = e1 | all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1) & (all_0_15_15 = e1 | all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1) & (all_0_15_15 = e0 | all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0) & (all_0_15_15 = e0 | all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0) & (all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4) & (all_0_16_16 = e3 | all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3) & (all_0_16_16 = e2 | all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2) & (all_0_16_16 = e1 | all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1) & (all_0_16_16 = e0 | all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0) & (all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_17_17 = e4 | all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4) & (all_0_17_17 = e3 | all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3) & (all_0_17_17 = e2 | all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2) & (all_0_17_17 = e1 | all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1) & (all_0_17_17 = e0 | all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0) & (all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0) & (all_0_18_18 = e4 | all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4) & (all_0_18_18 = e3 | all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3) & (all_0_18_18 = e2 | all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2) & (all_0_18_18 = e1 | all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1) & (all_0_18_18 = e0 | all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0) & (all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_19_19 = e4 | all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4) & (all_0_19_19 = e3 | all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3) & (all_0_19_19 = e2 | all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2) & (all_0_19_19 = e1 | all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1) & (all_0_19_19 = e0 | all_0_24_24 = e0 | all_0_29_29 = e0 | all_0_34_34 = e0 | all_0_39_39 = e0) & (all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (all_0_20_20 = e4 | all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4) & (all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3) & (all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2) & (all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1) & (all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0) & (all_0_21_21 = e4 | all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0) & (all_0_22_22 = e4 | all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0) & (all_0_23_23 = e4 | all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0) & (all_0_24_24 = e4 | all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0) & (all_0_25_25 = e4 | all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0) & (all_0_25_25 = e4 | all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4) & (all_0_25_25 = e3 | all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3) & (all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2) & (all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1) & (all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0) & (all_0_26_26 = e4 | all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0) & (all_0_27_27 = e4 | all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0) & (all_0_28_28 = e4 | all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0) & (all_0_29_29 = e4 | all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0) & (all_0_30_30 = e4 | all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0) & (all_0_30_30 = e4 | all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4) & (all_0_30_30 = e3 | all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3) & (all_0_30_30 = e2 | all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2) & (all_0_30_30 = e1 | all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1) & (all_0_30_30 = e0 | all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0) & (all_0_31_31 = e4 | all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0) & (all_0_32_32 = e4 | all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0) & (all_0_33_33 = e4 | all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0) & (all_0_34_34 = e4 | all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0) & (all_0_35_35 = e4 | all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0) & (all_0_35_35 = e4 | all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4) & (all_0_35_35 = e3 | all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3) & (all_0_35_35 = e2 | all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2) & (all_0_35_35 = e1 | all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1) & (all_0_35_35 = e0 | all_0_36_36 = e0 | all_0_37_37 = e0 | all_0_38_38 = e0 | all_0_39_39 = e0) & (all_0_36_36 = e4 | all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0) & (all_0_37_37 = e4 | all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0) & (all_0_38_38 = e4 | all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0) & (all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)))
% 103.64/55.98 |
% 103.64/55.98 | Applying alpha-rule on (1) yields:
% 103.64/55.98 | (2) ~ (all_0_24_24 = all_0_39_39)
% 103.64/55.98 | (3) ~ (all_0_15_15 = all_0_30_30)
% 103.64/55.98 | (4) op(e4, unit) = e4
% 103.64/55.98 | (5) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 103.64/55.98 | (6) all_0_25_25 = e2 | all_0_26_26 = e2 | all_0_27_27 = e2 | all_0_28_28 = e2 | all_0_29_29 = e2
% 103.64/55.98 | (7) ~ (all_0_25_25 = all_0_29_29)
% 103.64/55.98 | (8) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 103.64/55.99 | (9) ~ (all_0_17_17 = all_0_18_18)
% 103.64/55.99 | (10) ~ (all_0_16_16 = all_0_31_31)
% 103.64/55.99 | (11) ~ (all_0_22_22 = all_0_37_37)
% 103.64/55.99 | (12) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 103.64/55.99 | (13) all_0_21_21 = e4 | all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 103.64/55.99 | (14) ~ (all_0_21_21 = all_0_24_24)
% 103.64/55.99 | (15) ~ (all_0_30_30 = all_0_35_35)
% 103.64/55.99 | (16) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e1) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e0))
% 103.64/55.99 | (17) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 103.64/55.99 | (18) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 103.64/55.99 | (19) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))
% 103.64/55.99 | (20) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 103.64/55.99 | (21) ~ (e4 = e2)
% 103.64/55.99 | (22) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 103.64/55.99 | (23) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 103.64/55.99 | (24) ~ (all_0_37_37 = all_0_39_39)
% 103.64/55.99 | (25) op(e2, unit) = e2
% 103.64/55.99 | (26) all_0_16_16 = e0 | all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 103.64/55.99 | (27) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 103.64/55.99 | (28) ~ (all_0_22_22 = all_0_24_24)
% 103.64/55.99 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 103.64/55.99 | (30) ~ (all_0_20_20 = all_0_21_21)
% 103.64/55.99 | (31) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 103.64/55.99 | (32) ~ (all_0_23_23 = all_0_38_38)
% 103.64/55.99 | (33) ~ (all_0_18_18 = all_0_33_33)
% 103.64/55.99 | (34) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 103.64/55.99 | (35) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e4) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e0))
% 103.64/55.99 | (36) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 103.64/55.99 | (37) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e0) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e1)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e4))
% 103.64/55.99 | (38) ~ (all_0_18_18 = all_0_38_38)
% 103.64/55.99 | (39) ~ (all_0_15_15 = all_0_35_35)
% 103.64/55.99 | (40) ~ (e1 = e0)
% 103.64/55.99 | (41) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))
% 103.64/55.99 | (42) ~ (all_0_15_15 = all_0_25_25)
% 103.64/55.99 | (43) all_0_25_25 = e1 | all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 103.64/55.99 | (44) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))
% 103.64/55.99 | (45) ~ (all_0_26_26 = all_0_31_31)
% 103.64/55.99 | (46) ~ (all_0_16_16 = all_0_18_18)
% 103.64/55.99 | (47) ~ (all_0_28_28 = all_0_29_29)
% 103.64/55.99 | (48) ~ (all_0_17_17 = all_0_22_22)
% 103.64/55.99 | (49) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 103.64/55.99 | (50) ~ (all_0_22_22 = all_0_27_27)
% 103.64/55.99 | (51) all_0_17_17 = e4 | all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 103.64/55.99 | (52) ~ (e3 = e2)
% 103.64/55.99 | (53) ~ (all_0_27_27 = all_0_29_29)
% 103.64/55.99 | (54) all_0_18_18 = e2 | all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 103.64/55.99 | (55) all_0_25_25 = e4 | all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 103.64/55.99 | (56) ~ (e4 = e1)
% 103.64/55.99 | (57) all_0_25_25 = e3 | all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 103.64/55.99 | (58) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))
% 103.64/55.99 | (59) all_0_37_37 = e4 | all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 103.64/55.99 | (60) op(unit, e4) = e4
% 103.64/55.99 | (61) all_0_16_16 = e2 | all_0_21_21 = e2 | all_0_26_26 = e2 | all_0_31_31 = e2 | all_0_36_36 = e2
% 103.64/55.99 | (62) ~ (all_0_25_25 = all_0_30_30)
% 103.64/55.99 | (63) ~ (all_0_35_35 = all_0_39_39)
% 103.64/55.99 | (64) op(e2, e3) = all_0_26_26
% 103.64/55.99 | (65) all_0_20_20 = e4 | all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 103.64/55.99 | (66) op(e4, e3) = all_0_16_16
% 103.64/55.99 | (67) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 103.64/55.99 | (68) ~ (all_0_25_25 = all_0_26_26)
% 103.64/55.99 | (69) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e1) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e4))
% 103.64/55.99 | (70) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 103.64/55.99 | (71) all_0_30_30 = e4 | all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 103.64/55.99 | (72) all_0_16_16 = e3 | all_0_21_21 = e3 | all_0_26_26 = e3 | all_0_31_31 = e3 | all_0_36_36 = e3
% 103.64/55.99 | (73) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))
% 103.64/55.99 | (74) ~ (all_0_31_31 = all_0_36_36)
% 103.64/55.99 | (75) op(e1, unit) = e1
% 103.64/55.99 | (76) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 103.64/55.99 | (77) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 103.64/56.00 | (78) op(e0, unit) = e0
% 103.64/56.00 | (79) ~ (all_0_16_16 = all_0_26_26)
% 103.64/56.00 | (80) ~ (e3 = e0)
% 103.64/56.00 | (81) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 103.64/56.00 | (82) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e0) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e4))
% 103.64/56.00 | (83) ~ (all_0_21_21 = all_0_22_22)
% 103.64/56.00 | (84) ~ (all_0_29_29 = all_0_34_34)
% 103.64/56.00 | (85) ~ (all_0_34_34 = all_0_39_39)
% 103.64/56.00 | (86) all_0_28_28 = e4 | all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 103.64/56.00 | (87) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e1) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e4))
% 103.64/56.00 | (88) all_0_29_29 = e4 | all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 103.64/56.00 | (89) op(e0, e4) = all_0_35_35
% 103.64/56.00 | (90) ~ (all_0_15_15 = all_0_18_18)
% 103.64/56.00 | (91) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e0) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e2))
% 103.64/56.00 | (92) all_0_15_15 = e0 | all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 103.64/56.00 | (93) all_0_25_25 = e0 | all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 103.64/56.00 | (94) ~ (all_0_19_19 = all_0_39_39)
% 103.64/56.00 | (95) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 103.64/56.00 | (96) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))
% 103.64/56.00 | (97) ~ (all_0_37_37 = all_0_38_38)
% 103.64/56.00 | (98) ~ (all_0_20_20 = all_0_35_35)
% 103.64/56.00 | (99) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))
% 103.64/56.00 | (100) ~ (all_0_18_18 = all_0_23_23)
% 103.64/56.00 | (101) op(e3, e0) = all_0_24_24
% 103.64/56.00 | (102) all_0_18_18 = e3 | all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 103.64/56.00 | (103) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 103.64/56.00 | (104) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e4) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e2))
% 103.64/56.00 | (105) ~ (all_0_32_32 = all_0_33_33)
% 103.64/56.00 | (106) ~ (all_0_26_26 = all_0_28_28)
% 103.64/56.00 | (107) all_0_30_30 = e2 | all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 103.64/56.00 | (108) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 103.64/56.00 | (109) all_0_26_26 = e4 | all_0_26_26 = e3 | all_0_26_26 = e2 | all_0_26_26 = e1 | all_0_26_26 = e0
% 103.64/56.00 | (110) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e4) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e0)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e1))
% 103.64/56.00 | (111) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 103.64/56.00 | (112) all_0_19_19 = e0 | all_0_24_24 = e0 | all_0_29_29 = e0 | all_0_34_34 = e0 | all_0_39_39 = e0
% 103.64/56.00 | (113) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 103.98/56.00 | (114) all_0_15_15 = e1 | all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 103.98/56.00 | (115) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 103.98/56.00 | (116) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 103.98/56.00 | (117) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 103.98/56.00 | (118) all_0_35_35 = e0 | all_0_36_36 = e0 | all_0_37_37 = e0 | all_0_38_38 = e0 | all_0_39_39 = e0
% 103.98/56.00 | (119) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 103.98/56.00 | (120) op(e3, e2) = all_0_22_22
% 103.98/56.00 | (121) all_0_35_35 = e2 | all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 103.98/56.00 | (122) ~ (all_0_25_25 = all_0_27_27)
% 103.98/56.00 | (123) all_0_15_15 = e0 | all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 103.98/56.00 | (124) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 103.98/56.00 | (125) op(unit, e2) = e2
% 103.98/56.00 | (126) ~ (all_0_36_36 = all_0_39_39)
% 103.98/56.00 | (127) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 103.98/56.00 | (128) all_0_35_35 = e4 | all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 103.98/56.00 | (129) all_0_33_33 = e4 | all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 103.98/56.00 | (130) all_0_19_19 = e3 | all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 103.98/56.00 | (131) ~ (all_0_17_17 = all_0_19_19)
% 103.98/56.00 | (132) ~ (all_0_32_32 = all_0_34_34)
% 103.98/56.00 | (133) ~ (all_0_21_21 = all_0_36_36)
% 103.98/56.00 | (134) op(e1, e0) = all_0_34_34
% 103.98/56.00 | (135) ~ (all_0_26_26 = all_0_36_36)
% 103.98/56.00 | (136) ~ (all_0_36_36 = all_0_37_37)
% 103.98/56.00 | (137) all_0_16_16 = e1 | all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 103.98/56.00 | (138) ~ (all_0_22_22 = all_0_32_32)
% 103.98/56.00 | (139) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e4) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e2)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e1))
% 103.98/56.00 | (140) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))
% 103.98/56.00 | (141) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 103.98/56.00 | (142) all_0_17_17 = e3 | all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 103.98/56.00 | (143) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))
% 103.98/56.00 | (144) ~ (all_0_35_35 = all_0_36_36)
% 103.98/56.00 | (145) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e4) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e2)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e0))
% 103.98/56.00 | (146) op(e1, e1) = all_0_33_33
% 103.98/56.00 | (147) all_0_18_18 = e4 | all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 103.98/56.00 | (148) all_0_35_35 = e1 | all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 103.98/56.00 | (149) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 103.98/56.01 | (150) ~ (all_0_30_30 = all_0_33_33)
% 103.98/56.01 | (151) op(unit, e3) = e3
% 103.98/56.01 | (152) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 103.98/56.01 | (153) op(e0, e0) = all_0_39_39
% 103.98/56.01 | (154) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 103.98/56.01 | (155) ~ (all_0_33_33 = all_0_34_34)
% 103.98/56.01 | (156) ~ (all_0_20_20 = all_0_30_30)
% 103.98/56.01 | (157) op(unit, e0) = e0
% 103.98/56.01 | (158) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 103.98/56.01 | (159) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 103.98/56.01 | (160) all_0_15_15 = e2 | all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 103.98/56.01 | (161) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 103.98/56.01 | (162) ~ (all_0_15_15 = all_0_16_16)
% 103.98/56.01 | (163) ~ (all_0_21_21 = all_0_31_31)
% 103.98/56.01 | (164) op(e0, e3) = all_0_36_36
% 103.98/56.01 | (165) op(e1, e4) = all_0_30_30
% 103.98/56.01 | (166) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 103.98/56.01 | (167) ~ (all_0_27_27 = all_0_37_37)
% 103.98/56.01 | (168) all_0_19_19 = e2 | all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 103.98/56.01 | (169) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 103.98/56.01 | (170) ~ (all_0_27_27 = all_0_32_32)
% 103.98/56.01 | (171) op(unit, e1) = e1
% 103.98/56.01 | (172) ~ (all_0_18_18 = all_0_19_19)
% 103.98/56.01 | (173) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 103.98/56.01 | (174) ~ (all_0_19_19 = all_0_29_29)
% 103.98/56.01 | (175) all_0_27_27 = e4 | all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 103.98/56.01 | (176) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 103.98/56.01 | (177) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 103.98/56.01 | (178) op(e3, e3) = all_0_21_21
% 103.98/56.01 | (179) all_0_15_15 = e2 | all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 103.98/56.01 | (180) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 103.98/56.01 | (181) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))
% 103.98/56.01 | (182) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 103.98/56.01 | (183) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 103.98/56.01 | (184) op(e2, e0) = all_0_29_29
% 103.98/56.01 | (185) ~ (all_0_25_25 = all_0_28_28)
% 103.98/56.01 | (186) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 103.98/56.01 | (187) ~ (all_0_31_31 = all_0_33_33)
% 103.98/56.01 | (188) all_0_15_15 = e4 | all_0_20_20 = e4 | all_0_25_25 = e4 | all_0_30_30 = e4 | all_0_35_35 = e4
% 103.98/56.01 | (189) all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 103.98/56.01 | (190) all_0_16_16 = e4 | all_0_21_21 = e4 | all_0_26_26 = e4 | all_0_31_31 = e4 | all_0_36_36 = e4
% 103.98/56.01 | (191) op(e3, e4) = all_0_20_20
% 103.98/56.01 | (192) ~ (all_0_21_21 = all_0_26_26)
% 103.98/56.01 | (193) all_0_17_17 = e2 | all_0_22_22 = e2 | all_0_27_27 = e2 | all_0_32_32 = e2 | all_0_37_37 = e2
% 103.98/56.01 | (194) ~ (all_0_25_25 = all_0_35_35)
% 103.98/56.01 | (195) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))
% 103.98/56.01 | (196) all_0_24_24 = e4 | all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 103.98/56.01 | (197) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 103.98/56.01 | (198) all_0_15_15 = e3 | all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 103.98/56.01 | (199) ~ (all_0_33_33 = all_0_38_38)
% 103.98/56.01 | (200) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 103.98/56.01 | (201) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 103.98/56.01 | (202) ~ (all_0_30_30 = all_0_34_34)
% 103.98/56.01 | (203) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 103.98/56.01 | (204) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 103.98/56.01 | (205) ~ (all_0_16_16 = all_0_17_17)
% 103.98/56.01 | (206) op(e0, e1) = all_0_38_38
% 103.98/56.01 | (207) ~ (all_0_28_28 = all_0_38_38)
% 103.98/56.01 | (208) ~ (all_0_31_31 = all_0_32_32)
% 103.98/56.01 | (209) op(e3, e1) = all_0_23_23
% 103.98/56.01 | (210) ~ (all_0_35_35 = all_0_38_38)
% 103.98/56.01 | (211) ~ (all_0_32_32 = all_0_37_37)
% 103.98/56.01 | (212) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 103.98/56.01 | (213) all_0_36_36 = e4 | all_0_36_36 = e3 | all_0_36_36 = e2 | all_0_36_36 = e1 | all_0_36_36 = e0
% 103.98/56.01 | (214) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 103.98/56.01 | (215) ~ (all_0_16_16 = all_0_21_21)
% 103.98/56.01 | (216) ~ (all_0_20_20 = all_0_25_25)
% 103.98/56.01 | (217) all_0_15_15 = e4 | all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4
% 103.98/56.01 | (218) op(e3, unit) = e3
% 103.98/56.01 | (219) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e1) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e2))
% 103.98/56.01 | (220) all_0_18_18 = e1 | all_0_23_23 = e1 | all_0_28_28 = e1 | all_0_33_33 = e1 | all_0_38_38 = e1
% 103.98/56.01 | (221) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e2) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e4))
% 103.98/56.01 | (222) ~ (all_0_23_23 = all_0_33_33)
% 103.98/56.01 | (223) op(e1, e2) = all_0_32_32
% 103.98/56.01 | (224) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 103.98/56.01 | (225) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))
% 103.98/56.01 | (226) ~ (all_0_17_17 = all_0_27_27)
% 103.98/56.01 | (227) all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 | all_0_24_24 = e1
% 103.98/56.01 | (228) ~ (all_0_16_16 = all_0_36_36)
% 103.98/56.01 | (229) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 103.98/56.01 | (230) ~ (all_0_28_28 = all_0_33_33)
% 103.98/56.02 | (231) ~ (all_0_38_38 = all_0_39_39)
% 103.98/56.02 | (232) all_0_15_15 = e3 | all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 103.98/56.02 | (233) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))
% 103.98/56.02 | (234) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))
% 103.98/56.02 | (235) ~ (all_0_22_22 = all_0_23_23)
% 103.98/56.02 | (236) all_0_32_32 = e4 | all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 103.98/56.02 | (237) all_0_25_25 = e4 | all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 103.98/56.02 | (238) ~ (all_0_23_23 = all_0_24_24)
% 103.98/56.02 | (239) ~ (all_0_20_20 = all_0_22_22)
% 103.98/56.02 | (240) all_0_30_30 = e3 | all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 103.98/56.02 | (241) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 103.98/56.02 | (242) ~ (all_0_17_17 = all_0_32_32)
% 103.98/56.02 | (243) ~ (all_0_26_26 = all_0_29_29)
% 103.98/56.02 | (244) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e2) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e4)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e1))
% 103.98/56.02 | (245) ~ (all_0_21_21 = e4) | (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))
% 103.98/56.02 | (246) ~ (all_0_21_21 = e0) | (all_0_10_10 = all_0_24_24 & ~ (all_0_9_9 = e4) & op(all_0_24_24, e3) = all_0_9_9) | (all_0_10_10 = all_0_24_24 & ~ (all_0_24_24 = e1)) | (all_0_11_11 = all_0_36_36 & ~ (all_0_36_36 = e2))
% 103.98/56.02 | (247) all_0_30_30 = e1 | all_0_31_31 = e1 | all_0_32_32 = e1 | all_0_33_33 = e1 | all_0_34_34 = e1
% 103.98/56.02 | (248) all_0_35_35 = e4 | all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 103.98/56.02 | (249) all_0_17_17 = e1 | all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 103.98/56.02 | (250) all_0_19_19 = e4 | all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 103.98/56.02 | (251) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0))
% 103.98/56.02 | (252) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 103.98/56.02 | (253) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 103.98/56.02 | (254) all_0_35_35 = e3 | all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 103.98/56.02 | (255) ~ (e4 = e3)
% 103.98/56.02 | (256) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 103.98/56.02 | (257) ~ (all_0_23_23 = all_0_28_28)
% 103.98/56.02 | (258) ~ (all_0_36_36 = all_0_38_38)
% 103.98/56.02 | (259) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))
% 103.98/56.02 | (260) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 103.98/56.02 | (261) all_0_22_22 = e4 | all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 103.98/56.02 | (262) all_0_19_19 = e1 | all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 103.98/56.02 | (263) all_0_34_34 = e4 | all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 103.98/56.02 | (264) ~ (all_0_33_33 = e3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))
% 103.98/56.02 | (265) ~ (all_0_26_26 = all_0_27_27)
% 103.98/56.02 | (266) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e2) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e4))
% 103.98/56.02 | (267) ~ (e4 = e0)
% 103.98/56.02 | (268) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 103.98/56.02 | (269) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 103.98/56.02 | (270) ~ (all_0_15_15 = all_0_20_20)
% 103.98/56.02 | (271) ~ (all_0_21_21 = e1) | (all_0_10_10 = all_0_23_23 & ~ (all_0_9_9 = e2) & op(all_0_23_23, e3) = all_0_9_9) | (all_0_10_10 = all_0_23_23 & ~ (all_0_23_23 = e4)) | (all_0_11_11 = all_0_31_31 & ~ (all_0_31_31 = e0))
% 103.98/56.02 | (272) all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 | all_0_24_24 = e2
% 103.98/56.02 | (273) ~ (all_0_27_27 = e0) | (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 103.98/56.02 | (274) op(e2, e1) = all_0_28_28
% 103.98/56.02 | (275) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 103.98/56.02 | (276) op(e2, e2) = all_0_27_27
% 103.98/56.02 | (277) ~ (all_0_33_33 = e0) | (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 103.98/56.02 | (278) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))
% 103.98/56.02 | (279) ~ (all_0_16_16 = all_0_19_19)
% 103.98/56.02 | (280) ~ (all_0_33_33 = e2) | (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 103.98/56.02 | (281) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 103.98/56.02 | (282) ~ (all_0_17_17 = all_0_37_37)
% 103.98/56.02 | (283) ~ (all_0_20_20 = all_0_24_24)
% 103.98/56.02 | (284) ~ (all_0_15_15 = e2) | (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 103.98/56.02 | (285) op(e4, e4) = all_0_15_15
% 103.98/56.02 | (286) ~ (all_0_27_27 = e1) | (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 103.98/56.02 | (287) ~ (all_0_27_27 = e4) | (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 103.98/56.02 | (288) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 103.98/56.02 | (289) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))
% 103.98/56.02 | (290) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 103.98/56.02 | (291) ~ (all_0_29_29 = all_0_39_39)
% 103.98/56.02 | (292) ~ (all_0_39_39 = e1) | (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 103.98/56.03 | (293) ~ (all_0_19_19 = all_0_24_24)
% 103.98/56.03 | (294) op(e4, e1) = all_0_18_18
% 103.98/56.03 | (295) ~ (all_0_19_19 = all_0_34_34)
% 103.98/56.03 | (296) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))
% 103.98/56.03 | (297) all_0_30_30 = e4 | all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 103.98/56.03 | (298) ~ (e3 = e1)
% 103.98/56.03 | (299) ~ (all_0_24_24 = all_0_34_34)
% 103.98/56.03 | (300) all_0_39_39 = e4 | all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 103.98/56.03 | (301) ~ (all_0_30_30 = all_0_32_32)
% 103.98/56.03 | (302) ~ (all_0_18_18 = all_0_28_28)
% 103.98/56.03 | (303) all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 | all_0_24_24 = e3
% 103.98/56.03 | (304) all_0_30_30 = e0 | all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 103.98/56.03 | (305) all_0_15_15 = e1 | all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 103.98/56.03 | (306) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 103.98/56.03 | (307) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))
% 103.98/56.03 | (308) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 103.98/56.03 | (309) ~ (all_0_35_35 = all_0_37_37)
% 103.98/56.03 | (310) ~ (e2 = e1)
% 103.98/56.03 | (311) op(e2, e4) = all_0_25_25
% 103.98/56.03 | (312) ~ (all_0_33_33 = e4) | (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 103.98/56.03 | (313) op(e4, e2) = all_0_17_17
% 103.98/56.03 | (314) ~ (all_0_27_27 = e3) | (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))
% 103.98/56.03 | (315) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 103.98/56.03 | (316) ~ (all_0_39_39 = e2) | (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 103.98/56.03 | (317) all_0_23_23 = e4 | all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 103.98/56.03 | (318) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))
% 103.98/56.03 | (319) ~ (all_0_15_15 = all_0_19_19)
% 103.98/56.03 | (320) ~ (all_0_30_30 = all_0_31_31)
% 103.98/56.03 | (321) ~ (all_0_31_31 = all_0_34_34)
% 103.98/56.03 | (322) op(e1, e3) = all_0_31_31
% 103.98/56.03 | (323) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))
% 103.98/56.03 | (324) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 103.98/56.03 | (325) ~ (all_0_39_39 = e3) | (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))
% 103.98/56.03 | (326) ~ (all_0_15_15 = e1) | (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 103.98/56.03 | (327) all_0_17_17 = e0 | all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 103.98/56.03 | (328) ~ (all_0_21_21 = e2) | (all_0_10_10 = all_0_22_22 & ~ (all_0_9_9 = e0) & op(all_0_22_22, e3) = all_0_9_9) | (all_0_10_10 = all_0_22_22 & ~ (all_0_22_22 = e4)) | (all_0_11_11 = all_0_26_26 & ~ (all_0_26_26 = e1))
% 103.98/56.03 | (329) ~ (all_0_24_24 = all_0_29_29)
% 103.98/56.03 | (330) ~ (all_0_15_15 = e3) | (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))
% 103.98/56.03 | (331) op(e4, e0) = all_0_19_19
% 103.98/56.03 | (332) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 103.98/56.03 | (333) all_0_38_38 = e4 | all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 103.98/56.03 | (334) op(e0, e2) = all_0_37_37
% 103.98/56.03 | (335) ~ (all_0_21_21 = all_0_23_23)
% 103.98/56.03 | (336) ~ (e2 = e0)
% 103.98/56.03 | (337) ~ (all_0_27_27 = all_0_28_28)
% 103.98/56.03 | (338) ~ (all_0_15_15 = e0) | (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 103.98/56.03 | (339) all_0_31_31 = e4 | all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 103.98/56.03 | (340) all_0_18_18 = e0 | all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 103.98/56.03 | (341) ~ (all_0_20_20 = all_0_23_23)
% 103.98/56.03 | (342) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 103.98/56.03 | (343) ~ (all_0_39_39 = e4) | (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 103.98/56.03 | (344) ~ (all_0_15_15 = all_0_17_17)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e4, all_0_15_15, e4 and discharging atoms op(e4, e4) = all_0_15_15, yields:
% 103.98/56.03 | (345) all_0_15_15 = e4 | ~ (op(e4, e4) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e3, all_0_16_16, e3 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 103.98/56.03 | (346) all_0_16_16 = e3 | ~ (op(e4, e3) = e3)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e3, all_0_16_16, e4 and discharging atoms op(e4, e3) = all_0_16_16, yields:
% 103.98/56.03 | (347) all_0_16_16 = e4 | ~ (op(e4, e3) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e2, all_0_17_17, e2 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 103.98/56.03 | (348) all_0_17_17 = e2 | ~ (op(e4, e2) = e2)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e2, all_0_17_17, e4 and discharging atoms op(e4, e2) = all_0_17_17, yields:
% 103.98/56.03 | (349) all_0_17_17 = e4 | ~ (op(e4, e2) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e1, all_0_18_18, e1 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 103.98/56.03 | (350) all_0_18_18 = e1 | ~ (op(e4, e1) = e1)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e1, all_0_18_18, e4 and discharging atoms op(e4, e1) = all_0_18_18, yields:
% 103.98/56.03 | (351) all_0_18_18 = e4 | ~ (op(e4, e1) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e0, all_0_19_19, e0 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 103.98/56.03 | (352) all_0_19_19 = e0 | ~ (op(e4, e0) = e0)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e4, e0, all_0_19_19, e4 and discharging atoms op(e4, e0) = all_0_19_19, yields:
% 103.98/56.03 | (353) all_0_19_19 = e4 | ~ (op(e4, e0) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e4, all_0_20_20, e4 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 103.98/56.03 | (354) all_0_20_20 = e4 | ~ (op(e3, e4) = e4)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e4, all_0_20_20, e3 and discharging atoms op(e3, e4) = all_0_20_20, yields:
% 103.98/56.03 | (355) all_0_20_20 = e3 | ~ (op(e3, e4) = e3)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e3, all_0_21_21, e3 and discharging atoms op(e3, e3) = all_0_21_21, yields:
% 103.98/56.03 | (356) all_0_21_21 = e3 | ~ (op(e3, e3) = e3)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e2, all_0_22_22, e2 and discharging atoms op(e3, e2) = all_0_22_22, yields:
% 103.98/56.03 | (357) all_0_22_22 = e2 | ~ (op(e3, e2) = e2)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e2, all_0_22_22, e3 and discharging atoms op(e3, e2) = all_0_22_22, yields:
% 103.98/56.03 | (358) all_0_22_22 = e3 | ~ (op(e3, e2) = e3)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e1, all_0_23_23, e1 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 103.98/56.03 | (359) all_0_23_23 = e1 | ~ (op(e3, e1) = e1)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e1, all_0_23_23, e3 and discharging atoms op(e3, e1) = all_0_23_23, yields:
% 103.98/56.03 | (360) all_0_23_23 = e3 | ~ (op(e3, e1) = e3)
% 103.98/56.03 |
% 103.98/56.03 | Instantiating formula (29) with e3, e0, all_0_24_24, e0 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 103.98/56.04 | (361) all_0_24_24 = e0 | ~ (op(e3, e0) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e3, e0, all_0_24_24, e3 and discharging atoms op(e3, e0) = all_0_24_24, yields:
% 103.98/56.04 | (362) all_0_24_24 = e3 | ~ (op(e3, e0) = e3)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e4, all_0_25_25, e4 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 103.98/56.04 | (363) all_0_25_25 = e4 | ~ (op(e2, e4) = e4)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e4, all_0_25_25, e2 and discharging atoms op(e2, e4) = all_0_25_25, yields:
% 103.98/56.04 | (364) all_0_25_25 = e2 | ~ (op(e2, e4) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e3, all_0_26_26, e3 and discharging atoms op(e2, e3) = all_0_26_26, yields:
% 103.98/56.04 | (365) all_0_26_26 = e3 | ~ (op(e2, e3) = e3)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e3, all_0_26_26, e2 and discharging atoms op(e2, e3) = all_0_26_26, yields:
% 103.98/56.04 | (366) all_0_26_26 = e2 | ~ (op(e2, e3) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e2, all_0_27_27, e2 and discharging atoms op(e2, e2) = all_0_27_27, yields:
% 103.98/56.04 | (367) all_0_27_27 = e2 | ~ (op(e2, e2) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e1, all_0_28_28, e1 and discharging atoms op(e2, e1) = all_0_28_28, yields:
% 103.98/56.04 | (368) all_0_28_28 = e1 | ~ (op(e2, e1) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e1, all_0_28_28, e2 and discharging atoms op(e2, e1) = all_0_28_28, yields:
% 103.98/56.04 | (369) all_0_28_28 = e2 | ~ (op(e2, e1) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e0, all_0_29_29, e0 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 103.98/56.04 | (370) all_0_29_29 = e0 | ~ (op(e2, e0) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e2, e0, all_0_29_29, e2 and discharging atoms op(e2, e0) = all_0_29_29, yields:
% 103.98/56.04 | (371) all_0_29_29 = e2 | ~ (op(e2, e0) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e4, all_0_30_30, e4 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 103.98/56.04 | (372) all_0_30_30 = e4 | ~ (op(e1, e4) = e4)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e4, all_0_30_30, e1 and discharging atoms op(e1, e4) = all_0_30_30, yields:
% 103.98/56.04 | (373) all_0_30_30 = e1 | ~ (op(e1, e4) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e3, all_0_31_31, e3 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 103.98/56.04 | (374) all_0_31_31 = e3 | ~ (op(e1, e3) = e3)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e3, all_0_31_31, e1 and discharging atoms op(e1, e3) = all_0_31_31, yields:
% 103.98/56.04 | (375) all_0_31_31 = e1 | ~ (op(e1, e3) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e2, all_0_32_32, e2 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 103.98/56.04 | (376) all_0_32_32 = e2 | ~ (op(e1, e2) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e2, all_0_32_32, e1 and discharging atoms op(e1, e2) = all_0_32_32, yields:
% 103.98/56.04 | (377) all_0_32_32 = e1 | ~ (op(e1, e2) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e1, all_0_33_33, e1 and discharging atoms op(e1, e1) = all_0_33_33, yields:
% 103.98/56.04 | (378) all_0_33_33 = e1 | ~ (op(e1, e1) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e0, all_0_34_34, e0 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 103.98/56.04 | (379) all_0_34_34 = e0 | ~ (op(e1, e0) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e1, e0, all_0_34_34, e1 and discharging atoms op(e1, e0) = all_0_34_34, yields:
% 103.98/56.04 | (380) all_0_34_34 = e1 | ~ (op(e1, e0) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e4, all_0_35_35, e4 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 103.98/56.04 | (381) all_0_35_35 = e4 | ~ (op(e0, e4) = e4)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e4, all_0_35_35, e0 and discharging atoms op(e0, e4) = all_0_35_35, yields:
% 103.98/56.04 | (382) all_0_35_35 = e0 | ~ (op(e0, e4) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e3, all_0_36_36, e3 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 103.98/56.04 | (383) all_0_36_36 = e3 | ~ (op(e0, e3) = e3)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e3, all_0_36_36, e0 and discharging atoms op(e0, e3) = all_0_36_36, yields:
% 103.98/56.04 | (384) all_0_36_36 = e0 | ~ (op(e0, e3) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e2, all_0_37_37, e2 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 103.98/56.04 | (385) all_0_37_37 = e2 | ~ (op(e0, e2) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e2, all_0_37_37, e0 and discharging atoms op(e0, e2) = all_0_37_37, yields:
% 103.98/56.04 | (386) all_0_37_37 = e0 | ~ (op(e0, e2) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e1, all_0_38_38, e1 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 103.98/56.04 | (387) all_0_38_38 = e1 | ~ (op(e0, e1) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e1, all_0_38_38, e0 and discharging atoms op(e0, e1) = all_0_38_38, yields:
% 103.98/56.04 | (388) all_0_38_38 = e0 | ~ (op(e0, e1) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Instantiating formula (29) with e0, e0, all_0_39_39, e0 and discharging atoms op(e0, e0) = all_0_39_39, yields:
% 103.98/56.04 | (389) all_0_39_39 = e0 | ~ (op(e0, e0) = e0)
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (389), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (390) ~ (op(e0, e0) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Using (157) and (390) yields:
% 103.98/56.04 | (391) ~ (unit = e0)
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (388), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (392) ~ (op(e0, e1) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Using (78) and (392) yields:
% 103.98/56.04 | (393) ~ (unit = e1)
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (348), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (394) ~ (op(e4, e2) = e2)
% 103.98/56.04 |
% 103.98/56.04 | Using (125) and (394) yields:
% 103.98/56.04 | (395) ~ (unit = e4)
% 103.98/56.04 |
% 103.98/56.04 | Using (313) and (394) yields:
% 103.98/56.04 | (396) ~ (all_0_17_17 = e2)
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (386), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (397) ~ (op(e0, e2) = e0)
% 103.98/56.04 |
% 103.98/56.04 | Using (78) and (397) yields:
% 103.98/56.04 | (398) ~ (unit = e2)
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (308), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (399) unit = e4
% 103.98/56.04 |
% 103.98/56.04 | Equations (399) can reduce 395 to:
% 103.98/56.04 | (400) $false
% 103.98/56.04 |
% 103.98/56.04 |-The branch is then unsatisfiable
% 103.98/56.04 |-Branch two:
% 103.98/56.04 | (395) ~ (unit = e4)
% 103.98/56.04 | (402) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (402), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (403) unit = e3
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (125) follows:
% 103.98/56.04 | (404) op(e3, e2) = e2
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (171) follows:
% 103.98/56.04 | (405) op(e3, e1) = e1
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (157) follows:
% 103.98/56.04 | (406) op(e3, e0) = e0
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (4) follows:
% 103.98/56.04 | (407) op(e4, e3) = e4
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (218) follows:
% 103.98/56.04 | (408) op(e3, e3) = e3
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (25) follows:
% 103.98/56.04 | (409) op(e2, e3) = e2
% 103.98/56.04 |
% 103.98/56.04 | From (403) and (75) follows:
% 103.98/56.04 | (410) op(e1, e3) = e1
% 103.98/56.04 |
% 103.98/56.04 +-Applying beta-rule and splitting (375), into two cases.
% 103.98/56.04 |-Branch one:
% 103.98/56.04 | (411) ~ (op(e1, e3) = e1)
% 103.98/56.04 |
% 103.98/56.04 | Using (410) and (411) yields:
% 103.98/56.04 | (412) $false
% 103.98/56.04 |
% 103.98/56.04 |-The branch is then unsatisfiable
% 103.98/56.04 |-Branch two:
% 103.98/56.04 | (410) op(e1, e3) = e1
% 103.98/56.04 | (414) all_0_31_31 = e1
% 103.98/56.04 |
% 103.98/56.04 | Equations (414) can reduce 10 to:
% 103.98/56.04 | (415) ~ (all_0_16_16 = e1)
% 103.98/56.04 |
% 103.98/56.04 | Equations (414) can reduce 45 to:
% 103.98/56.04 | (416) ~ (all_0_26_26 = e1)
% 103.98/56.04 |
% 103.98/56.04 | Equations (414) can reduce 320 to:
% 103.98/56.04 | (417) ~ (all_0_30_30 = e1)
% 103.98/56.04 |
% 103.98/56.04 | Equations (414) can reduce 208 to:
% 103.98/56.04 | (418) ~ (all_0_32_32 = e1)
% 103.98/56.04 |
% 103.98/56.04 | Simplifying 418 yields:
% 103.98/56.05 | (419) ~ (all_0_32_32 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (414) can reduce 321 to:
% 103.98/56.05 | (420) ~ (all_0_34_34 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 420 yields:
% 103.98/56.05 | (421) ~ (all_0_34_34 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (414) can reduce 74 to:
% 103.98/56.05 | (422) ~ (all_0_36_36 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 422 yields:
% 103.98/56.05 | (423) ~ (all_0_36_36 = e1)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (359), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (424) ~ (op(e3, e1) = e1)
% 103.98/56.05 |
% 103.98/56.05 | Using (405) and (424) yields:
% 103.98/56.05 | (412) $false
% 103.98/56.05 |
% 103.98/56.05 |-The branch is then unsatisfiable
% 103.98/56.05 |-Branch two:
% 103.98/56.05 | (405) op(e3, e1) = e1
% 103.98/56.05 | (427) all_0_23_23 = e1
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 100 to:
% 103.98/56.05 | (428) ~ (all_0_18_18 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 341 to:
% 103.98/56.05 | (429) ~ (all_0_20_20 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 335 to:
% 103.98/56.05 | (430) ~ (all_0_21_21 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 238 to:
% 103.98/56.05 | (431) ~ (all_0_24_24 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 431 yields:
% 103.98/56.05 | (432) ~ (all_0_24_24 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 257 to:
% 103.98/56.05 | (433) ~ (all_0_28_28 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 433 yields:
% 103.98/56.05 | (434) ~ (all_0_28_28 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 222 to:
% 103.98/56.05 | (435) ~ (all_0_33_33 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 435 yields:
% 103.98/56.05 | (436) ~ (all_0_33_33 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Equations (427) can reduce 32 to:
% 103.98/56.05 | (437) ~ (all_0_38_38 = e1)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 437 yields:
% 103.98/56.05 | (438) ~ (all_0_38_38 = e1)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (357), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (439) ~ (op(e3, e2) = e2)
% 103.98/56.05 |
% 103.98/56.05 | Using (404) and (439) yields:
% 103.98/56.05 | (412) $false
% 103.98/56.05 |
% 103.98/56.05 |-The branch is then unsatisfiable
% 103.98/56.05 |-Branch two:
% 103.98/56.05 | (404) op(e3, e2) = e2
% 103.98/56.05 | (442) all_0_22_22 = e2
% 103.98/56.05 |
% 103.98/56.05 | Equations (442) can reduce 48 to:
% 103.98/56.05 | (396) ~ (all_0_17_17 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (442) can reduce 239 to:
% 103.98/56.05 | (444) ~ (all_0_20_20 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (442) can reduce 28 to:
% 103.98/56.05 | (445) ~ (all_0_24_24 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 445 yields:
% 103.98/56.05 | (446) ~ (all_0_24_24 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (442) can reduce 138 to:
% 103.98/56.05 | (447) ~ (all_0_32_32 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 447 yields:
% 103.98/56.05 | (448) ~ (all_0_32_32 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (442) can reduce 11 to:
% 103.98/56.05 | (449) ~ (all_0_37_37 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 449 yields:
% 103.98/56.05 | (450) ~ (all_0_37_37 = e2)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (347), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (451) ~ (op(e4, e3) = e4)
% 103.98/56.05 |
% 103.98/56.05 | Using (407) and (451) yields:
% 103.98/56.05 | (412) $false
% 103.98/56.05 |
% 103.98/56.05 |-The branch is then unsatisfiable
% 103.98/56.05 |-Branch two:
% 103.98/56.05 | (407) op(e4, e3) = e4
% 103.98/56.05 | (454) all_0_16_16 = e4
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 205 to:
% 103.98/56.05 | (455) ~ (all_0_17_17 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 455 yields:
% 103.98/56.05 | (456) ~ (all_0_17_17 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 46 to:
% 103.98/56.05 | (457) ~ (all_0_18_18 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 457 yields:
% 103.98/56.05 | (458) ~ (all_0_18_18 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 279 to:
% 103.98/56.05 | (459) ~ (all_0_19_19 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 459 yields:
% 103.98/56.05 | (460) ~ (all_0_19_19 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 215 to:
% 103.98/56.05 | (461) ~ (all_0_21_21 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 461 yields:
% 103.98/56.05 | (462) ~ (all_0_21_21 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 79 to:
% 103.98/56.05 | (463) ~ (all_0_26_26 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 463 yields:
% 103.98/56.05 | (464) ~ (all_0_26_26 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 228 to:
% 103.98/56.05 | (465) ~ (all_0_36_36 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 465 yields:
% 103.98/56.05 | (466) ~ (all_0_36_36 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (454) can reduce 415 to:
% 103.98/56.05 | (56) ~ (e4 = e1)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (366), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (468) ~ (op(e2, e3) = e2)
% 103.98/56.05 |
% 103.98/56.05 | Using (409) and (468) yields:
% 103.98/56.05 | (412) $false
% 103.98/56.05 |
% 103.98/56.05 |-The branch is then unsatisfiable
% 103.98/56.05 |-Branch two:
% 103.98/56.05 | (409) op(e2, e3) = e2
% 103.98/56.05 | (471) all_0_26_26 = e2
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 192 to:
% 103.98/56.05 | (472) ~ (all_0_21_21 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 68 to:
% 103.98/56.05 | (473) ~ (all_0_25_25 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 265 to:
% 103.98/56.05 | (474) ~ (all_0_27_27 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 474 yields:
% 103.98/56.05 | (475) ~ (all_0_27_27 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 106 to:
% 103.98/56.05 | (476) ~ (all_0_28_28 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 476 yields:
% 103.98/56.05 | (477) ~ (all_0_28_28 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 243 to:
% 103.98/56.05 | (478) ~ (all_0_29_29 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 478 yields:
% 103.98/56.05 | (479) ~ (all_0_29_29 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 135 to:
% 103.98/56.05 | (480) ~ (all_0_36_36 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 480 yields:
% 103.98/56.05 | (481) ~ (all_0_36_36 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 464 to:
% 103.98/56.05 | (482) ~ (e4 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 482 yields:
% 103.98/56.05 | (21) ~ (e4 = e2)
% 103.98/56.05 |
% 103.98/56.05 | Equations (471) can reduce 416 to:
% 103.98/56.05 | (310) ~ (e2 = e1)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (361), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (485) ~ (op(e3, e0) = e0)
% 103.98/56.05 |
% 103.98/56.05 | Using (406) and (485) yields:
% 103.98/56.05 | (412) $false
% 103.98/56.05 |
% 103.98/56.05 |-The branch is then unsatisfiable
% 103.98/56.05 |-Branch two:
% 103.98/56.05 | (406) op(e3, e0) = e0
% 103.98/56.05 | (488) all_0_24_24 = e0
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 293 to:
% 103.98/56.05 | (489) ~ (all_0_19_19 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 283 to:
% 103.98/56.05 | (490) ~ (all_0_20_20 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 14 to:
% 103.98/56.05 | (491) ~ (all_0_21_21 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 329 to:
% 103.98/56.05 | (492) ~ (all_0_29_29 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 492 yields:
% 103.98/56.05 | (493) ~ (all_0_29_29 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 299 to:
% 103.98/56.05 | (494) ~ (all_0_34_34 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 494 yields:
% 103.98/56.05 | (495) ~ (all_0_34_34 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 446 to:
% 103.98/56.05 | (496) ~ (e2 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 496 yields:
% 103.98/56.05 | (336) ~ (e2 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Equations (488) can reduce 432 to:
% 103.98/56.05 | (498) ~ (e1 = e0)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 498 yields:
% 103.98/56.05 | (40) ~ (e1 = e0)
% 103.98/56.05 |
% 103.98/56.05 +-Applying beta-rule and splitting (65), into two cases.
% 103.98/56.05 |-Branch one:
% 103.98/56.05 | (500) all_0_20_20 = e4
% 103.98/56.05 |
% 103.98/56.05 | Equations (500) can reduce 270 to:
% 103.98/56.05 | (501) ~ (all_0_15_15 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (500) can reduce 30 to:
% 103.98/56.05 | (461) ~ (all_0_21_21 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 461 yields:
% 103.98/56.05 | (462) ~ (all_0_21_21 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (500) can reduce 216 to:
% 103.98/56.05 | (504) ~ (all_0_25_25 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 504 yields:
% 103.98/56.05 | (505) ~ (all_0_25_25 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Equations (500) can reduce 156 to:
% 103.98/56.05 | (506) ~ (all_0_30_30 = e4)
% 103.98/56.05 |
% 103.98/56.05 | Simplifying 506 yields:
% 103.98/56.05 | (507) ~ (all_0_30_30 = e4)
% 103.98/56.05 |
% 103.98/56.06 | Equations (500) can reduce 98 to:
% 103.98/56.06 | (508) ~ (all_0_35_35 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 508 yields:
% 103.98/56.06 | (509) ~ (all_0_35_35 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (500) can reduce 444 to:
% 103.98/56.06 | (21) ~ (e4 = e2)
% 103.98/56.06 |
% 103.98/56.06 | Equations (500) can reduce 429 to:
% 103.98/56.06 | (56) ~ (e4 = e1)
% 103.98/56.06 |
% 103.98/56.06 | Equations (500) can reduce 490 to:
% 103.98/56.06 | (267) ~ (e4 = e0)
% 103.98/56.06 |
% 103.98/56.06 | From (500) and (191) follows:
% 103.98/56.06 | (513) op(e3, e4) = e4
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (26), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (514) all_0_16_16 = e0
% 103.98/56.06 |
% 103.98/56.06 | Combining equations (514,454) yields a new equation:
% 103.98/56.06 | (515) e4 = e0
% 103.98/56.06 |
% 103.98/56.06 | Equations (515) can reduce 267 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (517) ~ (all_0_16_16 = e0)
% 103.98/56.06 | (518) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (518), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (519) all_0_21_21 = e0
% 103.98/56.06 |
% 103.98/56.06 | Equations (519) can reduce 491 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (491) ~ (all_0_21_21 = e0)
% 103.98/56.06 | (522) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (522), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (523) all_0_26_26 = e0
% 103.98/56.06 |
% 103.98/56.06 | Combining equations (471,523) yields a new equation:
% 103.98/56.06 | (524) e2 = e0
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 524 yields:
% 103.98/56.06 | (525) e2 = e0
% 103.98/56.06 |
% 103.98/56.06 | Equations (525) can reduce 336 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (527) ~ (all_0_26_26 = e0)
% 103.98/56.06 | (528) all_0_31_31 = e0 | all_0_36_36 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (528), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (529) all_0_31_31 = e0
% 103.98/56.06 |
% 103.98/56.06 | Combining equations (414,529) yields a new equation:
% 103.98/56.06 | (530) e1 = e0
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 530 yields:
% 103.98/56.06 | (531) e1 = e0
% 103.98/56.06 |
% 103.98/56.06 | Equations (531) can reduce 40 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (533) ~ (all_0_31_31 = e0)
% 103.98/56.06 | (534) all_0_36_36 = e0
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 133 to:
% 103.98/56.06 | (491) ~ (all_0_21_21 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 144 to:
% 103.98/56.06 | (536) ~ (all_0_35_35 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 136 to:
% 103.98/56.06 | (537) ~ (all_0_37_37 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 537 yields:
% 103.98/56.06 | (538) ~ (all_0_37_37 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 258 to:
% 103.98/56.06 | (539) ~ (all_0_38_38 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 539 yields:
% 103.98/56.06 | (540) ~ (all_0_38_38 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 126 to:
% 103.98/56.06 | (541) ~ (all_0_39_39 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 541 yields:
% 103.98/56.06 | (542) ~ (all_0_39_39 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 466 to:
% 103.98/56.06 | (543) ~ (e4 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 543 yields:
% 103.98/56.06 | (267) ~ (e4 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 481 to:
% 103.98/56.06 | (496) ~ (e2 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 496 yields:
% 103.98/56.06 | (336) ~ (e2 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Equations (534) can reduce 423 to:
% 103.98/56.06 | (498) ~ (e1 = e0)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 498 yields:
% 103.98/56.06 | (40) ~ (e1 = e0)
% 103.98/56.06 |
% 103.98/56.06 | From (534) and (164) follows:
% 103.98/56.06 | (549) op(e0, e3) = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (13), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (550) all_0_21_21 = e4
% 103.98/56.06 |
% 103.98/56.06 | Equations (550) can reduce 462 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (462) ~ (all_0_21_21 = e4)
% 103.98/56.06 | (553) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (356), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (554) ~ (op(e3, e3) = e3)
% 103.98/56.06 |
% 103.98/56.06 | Using (408) and (554) yields:
% 103.98/56.06 | (412) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (408) op(e3, e3) = e3
% 103.98/56.06 | (557) all_0_21_21 = e3
% 103.98/56.06 |
% 103.98/56.06 | Equations (557) can reduce 462 to:
% 103.98/56.06 | (558) ~ (e4 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 558 yields:
% 103.98/56.06 | (255) ~ (e4 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (557) can reduce 472 to:
% 103.98/56.06 | (52) ~ (e3 = e2)
% 103.98/56.06 |
% 103.98/56.06 | Equations (557) can reduce 430 to:
% 103.98/56.06 | (298) ~ (e3 = e1)
% 103.98/56.06 |
% 103.98/56.06 | Equations (557) can reduce 491 to:
% 103.98/56.06 | (80) ~ (e3 = e0)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (354), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (563) ~ (op(e3, e4) = e4)
% 103.98/56.06 |
% 103.98/56.06 | Using (513) and (563) yields:
% 103.98/56.06 | (412) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (513) op(e3, e4) = e4
% 103.98/56.06 | (500) all_0_20_20 = e4
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (384), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (567) ~ (op(e0, e3) = e0)
% 103.98/56.06 |
% 103.98/56.06 | Using (549) and (567) yields:
% 103.98/56.06 | (412) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (549) op(e0, e3) = e0
% 103.98/56.06 | (534) all_0_36_36 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (307), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (571) ~ (all_0_39_39 = e3)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (330), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (572) ~ (all_0_15_15 = e3)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (289), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (573) ~ (all_0_27_27 = e3)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (41), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (574) ~ (all_0_33_33 = e3)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (240), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (575) all_0_30_30 = e3
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 3 to:
% 103.98/56.06 | (572) ~ (all_0_15_15 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 62 to:
% 103.98/56.06 | (577) ~ (all_0_25_25 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 301 to:
% 103.98/56.06 | (578) ~ (all_0_32_32 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 578 yields:
% 103.98/56.06 | (579) ~ (all_0_32_32 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 150 to:
% 103.98/56.06 | (580) ~ (all_0_33_33 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 580 yields:
% 103.98/56.06 | (574) ~ (all_0_33_33 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 202 to:
% 103.98/56.06 | (582) ~ (all_0_34_34 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 582 yields:
% 103.98/56.06 | (583) ~ (all_0_34_34 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 15 to:
% 103.98/56.06 | (584) ~ (all_0_35_35 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 584 yields:
% 103.98/56.06 | (585) ~ (all_0_35_35 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 507 to:
% 103.98/56.06 | (558) ~ (e4 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 558 yields:
% 103.98/56.06 | (255) ~ (e4 = e3)
% 103.98/56.06 |
% 103.98/56.06 | Equations (575) can reduce 417 to:
% 103.98/56.06 | (298) ~ (e3 = e1)
% 103.98/56.06 |
% 103.98/56.06 | From (575) and (165) follows:
% 103.98/56.06 | (589) op(e1, e4) = e3
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (237), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (590) all_0_25_25 = e4
% 103.98/56.06 |
% 103.98/56.06 | Equations (590) can reduce 505 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (505) ~ (all_0_25_25 = e4)
% 103.98/56.06 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (275), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (594) ~ (all_0_33_33 = e4)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (297), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (595) all_0_30_30 = e4
% 103.98/56.06 |
% 103.98/56.06 | Combining equations (595,575) yields a new equation:
% 103.98/56.06 | (596) e4 = e3
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 596 yields:
% 103.98/56.06 | (597) e4 = e3
% 103.98/56.06 |
% 103.98/56.06 | Equations (597) can reduce 255 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (507) ~ (all_0_30_30 = e4)
% 103.98/56.06 | (600) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (263), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (601) all_0_34_34 = e4
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 295 to:
% 103.98/56.06 | (460) ~ (all_0_19_19 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 84 to:
% 103.98/56.06 | (603) ~ (all_0_29_29 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 132 to:
% 103.98/56.06 | (604) ~ (all_0_32_32 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 155 to:
% 103.98/56.06 | (594) ~ (all_0_33_33 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 85 to:
% 103.98/56.06 | (606) ~ (all_0_39_39 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 606 yields:
% 103.98/56.06 | (607) ~ (all_0_39_39 = e4)
% 103.98/56.06 |
% 103.98/56.06 | Equations (601) can reduce 583 to:
% 103.98/56.06 | (255) ~ (e4 = e3)
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (236), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (609) all_0_32_32 = e4
% 103.98/56.06 |
% 103.98/56.06 | Equations (609) can reduce 604 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (604) ~ (all_0_32_32 = e4)
% 103.98/56.06 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 103.98/56.06 |
% 103.98/56.06 +-Applying beta-rule and splitting (107), into two cases.
% 103.98/56.06 |-Branch one:
% 103.98/56.06 | (613) all_0_30_30 = e2
% 103.98/56.06 |
% 103.98/56.06 | Combining equations (575,613) yields a new equation:
% 103.98/56.06 | (614) e3 = e2
% 103.98/56.06 |
% 103.98/56.06 | Simplifying 614 yields:
% 103.98/56.06 | (615) e3 = e2
% 103.98/56.06 |
% 103.98/56.06 | Equations (615) can reduce 52 to:
% 103.98/56.06 | (400) $false
% 103.98/56.06 |
% 103.98/56.06 |-The branch is then unsatisfiable
% 103.98/56.06 |-Branch two:
% 103.98/56.06 | (617) ~ (all_0_30_30 = e2)
% 103.98/56.06 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 103.98/56.06 |
% 103.98/56.07 +-Applying beta-rule and splitting (618), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (619) all_0_31_31 = e2
% 103.98/56.07 |
% 103.98/56.07 | Combining equations (619,414) yields a new equation:
% 103.98/56.07 | (620) e2 = e1
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 620 yields:
% 103.98/56.07 | (621) e2 = e1
% 103.98/56.07 |
% 103.98/56.07 | Equations (621) can reduce 310 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (623) ~ (all_0_31_31 = e2)
% 103.98/56.07 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (624), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (625) all_0_32_32 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (625) can reduce 448 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (448) ~ (all_0_32_32 = e2)
% 103.98/56.07 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (612), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (629) all_0_32_32 = e3
% 103.98/56.07 |
% 103.98/56.07 | Equations (629) can reduce 579 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (579) ~ (all_0_32_32 = e3)
% 103.98/56.07 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (632), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (625) all_0_32_32 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (625) can reduce 448 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (448) ~ (all_0_32_32 = e2)
% 103.98/56.07 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (628), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 33 to:
% 103.98/56.07 | (638) ~ (all_0_18_18 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 230 to:
% 103.98/56.07 | (477) ~ (all_0_28_28 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 105 to:
% 103.98/56.07 | (448) ~ (all_0_32_32 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 594 to:
% 103.98/56.07 | (482) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 482 yields:
% 103.98/56.07 | (21) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 574 to:
% 103.98/56.07 | (643) ~ (e3 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 643 yields:
% 103.98/56.07 | (52) ~ (e3 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 436 to:
% 103.98/56.07 | (310) ~ (e2 = e1)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (304), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (646) all_0_30_30 = e0
% 103.98/56.07 |
% 103.98/56.07 | Combining equations (575,646) yields a new equation:
% 103.98/56.07 | (647) e3 = e0
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 647 yields:
% 103.98/56.07 | (648) e3 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (648) can reduce 80 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (650) ~ (all_0_30_30 = e0)
% 103.98/56.07 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (651), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (529) all_0_31_31 = e0
% 103.98/56.07 |
% 103.98/56.07 | Combining equations (414,529) yields a new equation:
% 103.98/56.07 | (530) e1 = e0
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 530 yields:
% 103.98/56.07 | (531) e1 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (531) can reduce 40 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (533) ~ (all_0_31_31 = e0)
% 103.98/56.07 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (657), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (658) all_0_32_32 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 242 to:
% 103.98/56.07 | (659) ~ (all_0_17_17 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 170 to:
% 103.98/56.07 | (660) ~ (all_0_27_27 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 211 to:
% 103.98/56.07 | (537) ~ (all_0_37_37 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 537 yields:
% 103.98/56.07 | (538) ~ (all_0_37_37 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 604 to:
% 103.98/56.07 | (543) ~ (e4 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 543 yields:
% 103.98/56.07 | (267) ~ (e4 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 579 to:
% 103.98/56.07 | (665) ~ (e3 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 665 yields:
% 103.98/56.07 | (80) ~ (e3 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 448 to:
% 103.98/56.07 | (496) ~ (e2 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 496 yields:
% 103.98/56.07 | (336) ~ (e2 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (658) can reduce 419 to:
% 103.98/56.07 | (498) ~ (e1 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 498 yields:
% 103.98/56.07 | (40) ~ (e1 = e0)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (67), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (674) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (173), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (678) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (212), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (679) ~ (all_0_15_15 = e1)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (256), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (683) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (154), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (687) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (280), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (691) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (127), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (671) ~ (all_0_33_33 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (637) can reduce 671 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (637) all_0_33_33 = e2
% 103.98/56.07 | (695) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (229), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (696) ~ (all_0_39_39 = e1)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (300), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (697) all_0_39_39 = e4
% 103.98/56.07 |
% 103.98/56.07 | Equations (697) can reduce 607 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (607) ~ (all_0_39_39 = e4)
% 103.98/56.07 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (700), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (701) all_0_39_39 = e3
% 103.98/56.07 |
% 103.98/56.07 | Equations (701) can reduce 571 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (571) ~ (all_0_39_39 = e3)
% 103.98/56.07 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (704), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (705) all_0_39_39 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (705) can reduce 94 to:
% 103.98/56.07 | (706) ~ (all_0_19_19 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (705) can reduce 24 to:
% 103.98/56.07 | (450) ~ (all_0_37_37 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (705) can reduce 607 to:
% 103.98/56.07 | (482) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 482 yields:
% 103.98/56.07 | (21) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (705) can reduce 542 to:
% 103.98/56.07 | (336) ~ (e2 = e0)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (160), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (711) all_0_15_15 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 344 to:
% 103.98/56.07 | (712) ~ (all_0_17_17 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 712 yields:
% 103.98/56.07 | (396) ~ (all_0_17_17 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 90 to:
% 103.98/56.07 | (714) ~ (all_0_18_18 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 714 yields:
% 103.98/56.07 | (638) ~ (all_0_18_18 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 319 to:
% 103.98/56.07 | (716) ~ (all_0_19_19 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 716 yields:
% 103.98/56.07 | (706) ~ (all_0_19_19 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 39 to:
% 103.98/56.07 | (718) ~ (all_0_35_35 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 718 yields:
% 103.98/56.07 | (719) ~ (all_0_35_35 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 501 to:
% 103.98/56.07 | (482) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 482 yields:
% 103.98/56.07 | (21) ~ (e4 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 572 to:
% 103.98/56.07 | (643) ~ (e3 = e2)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 643 yields:
% 103.98/56.07 | (52) ~ (e3 = e2)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (128), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (724) all_0_35_35 = e4
% 103.98/56.07 |
% 103.98/56.07 | Equations (724) can reduce 509 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (509) ~ (all_0_35_35 = e4)
% 103.98/56.07 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (727), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (728) all_0_35_35 = e3
% 103.98/56.07 |
% 103.98/56.07 | Equations (728) can reduce 585 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (585) ~ (all_0_35_35 = e3)
% 103.98/56.07 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (731), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (732) all_0_35_35 = e2
% 103.98/56.07 |
% 103.98/56.07 | Equations (732) can reduce 719 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (719) ~ (all_0_35_35 = e2)
% 103.98/56.07 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (123), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (736) all_0_15_15 = e0
% 103.98/56.07 |
% 103.98/56.07 | Combining equations (736,711) yields a new equation:
% 103.98/56.07 | (525) e2 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (525) can reduce 336 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (739) ~ (all_0_15_15 = e0)
% 103.98/56.07 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (711) can reduce 739 to:
% 103.98/56.07 | (336) ~ (e2 = e0)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (740), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (742) all_0_20_20 = e0
% 103.98/56.07 |
% 103.98/56.07 | Combining equations (500,742) yields a new equation:
% 103.98/56.07 | (743) e4 = e0
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 743 yields:
% 103.98/56.07 | (515) e4 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (515) can reduce 267 to:
% 103.98/56.07 | (400) $false
% 103.98/56.07 |
% 103.98/56.07 |-The branch is then unsatisfiable
% 103.98/56.07 |-Branch two:
% 103.98/56.07 | (490) ~ (all_0_20_20 = e0)
% 103.98/56.07 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (500) can reduce 490 to:
% 103.98/56.07 | (267) ~ (e4 = e0)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (747), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (749) all_0_25_25 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (749) can reduce 122 to:
% 103.98/56.07 | (750) ~ (all_0_27_27 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 750 yields:
% 103.98/56.07 | (660) ~ (all_0_27_27 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (749) can reduce 194 to:
% 103.98/56.07 | (752) ~ (all_0_35_35 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 752 yields:
% 103.98/56.07 | (536) ~ (all_0_35_35 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (749) can reduce 577 to:
% 103.98/56.07 | (665) ~ (e3 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 665 yields:
% 103.98/56.07 | (80) ~ (e3 = e0)
% 103.98/56.07 |
% 103.98/56.07 +-Applying beta-rule and splitting (340), into two cases.
% 103.98/56.07 |-Branch one:
% 103.98/56.07 | (756) all_0_18_18 = e0
% 103.98/56.07 |
% 103.98/56.07 | Equations (756) can reduce 302 to:
% 103.98/56.07 | (757) ~ (all_0_28_28 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 757 yields:
% 103.98/56.07 | (758) ~ (all_0_28_28 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Equations (756) can reduce 458 to:
% 103.98/56.07 | (543) ~ (e4 = e0)
% 103.98/56.07 |
% 103.98/56.07 | Simplifying 543 yields:
% 103.98/56.07 | (267) ~ (e4 = e0)
% 103.98/56.07 |
% 103.98/56.08 +-Applying beta-rule and splitting (735), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (761) all_0_35_35 = e1
% 103.98/56.08 |
% 103.98/56.08 | Equations (761) can reduce 309 to:
% 103.98/56.08 | (762) ~ (all_0_37_37 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Simplifying 762 yields:
% 103.98/56.08 | (763) ~ (all_0_37_37 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Equations (761) can reduce 509 to:
% 103.98/56.08 | (764) ~ (e4 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Simplifying 764 yields:
% 103.98/56.08 | (56) ~ (e4 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Equations (761) can reduce 719 to:
% 103.98/56.08 | (766) ~ (e2 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Simplifying 766 yields:
% 103.98/56.08 | (310) ~ (e2 = e1)
% 103.98/56.08 |
% 103.98/56.08 | Equations (761) can reduce 536 to:
% 103.98/56.08 | (40) ~ (e1 = e0)
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (36), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (769) ~ (all_0_15_15 = e2)
% 103.98/56.08 |
% 103.98/56.08 | Equations (711) can reduce 769 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (711) all_0_15_15 = e2
% 103.98/56.08 | (772) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (116), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (769) ~ (all_0_15_15 = e2)
% 103.98/56.08 |
% 103.98/56.08 | Equations (711) can reduce 769 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (711) all_0_15_15 = e2
% 103.98/56.08 | (776) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (284), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (769) ~ (all_0_15_15 = e2)
% 103.98/56.08 |
% 103.98/56.08 | Equations (711) can reduce 769 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (711) all_0_15_15 = e2
% 103.98/56.08 | (780) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (115), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (769) ~ (all_0_15_15 = e2)
% 103.98/56.08 |
% 103.98/56.08 | Equations (711) can reduce 769 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (711) all_0_15_15 = e2
% 103.98/56.08 | (784) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (253), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (785) ~ (all_0_27_27 = e4)
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (55), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (590) all_0_25_25 = e4
% 103.98/56.08 |
% 103.98/56.08 | Combining equations (749,590) yields a new equation:
% 103.98/56.08 | (515) e4 = e0
% 103.98/56.08 |
% 103.98/56.08 | Equations (515) can reduce 267 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (505) ~ (all_0_25_25 = e4)
% 103.98/56.08 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 103.98/56.08 |
% 103.98/56.08 | Equations (749) can reduce 505 to:
% 103.98/56.08 | (543) ~ (e4 = e0)
% 103.98/56.08 |
% 103.98/56.08 | Simplifying 543 yields:
% 103.98/56.08 | (267) ~ (e4 = e0)
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (51), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (793) all_0_17_17 = e4
% 103.98/56.08 |
% 103.98/56.08 | Equations (793) can reduce 456 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (456) ~ (all_0_17_17 = e4)
% 103.98/56.08 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (796), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (797) all_0_22_22 = e4
% 103.98/56.08 |
% 103.98/56.08 | Combining equations (442,797) yields a new equation:
% 103.98/56.08 | (798) e4 = e2
% 103.98/56.08 |
% 103.98/56.08 | Equations (798) can reduce 21 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (800) ~ (all_0_22_22 = e4)
% 103.98/56.08 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 103.98/56.08 |
% 103.98/56.08 | Equations (442) can reduce 800 to:
% 103.98/56.08 | (482) ~ (e4 = e2)
% 103.98/56.08 |
% 103.98/56.08 | Simplifying 482 yields:
% 103.98/56.08 | (21) ~ (e4 = e2)
% 103.98/56.08 |
% 103.98/56.08 +-Applying beta-rule and splitting (175), into two cases.
% 103.98/56.08 |-Branch one:
% 103.98/56.08 | (804) all_0_27_27 = e4
% 103.98/56.08 |
% 103.98/56.08 | Equations (804) can reduce 785 to:
% 103.98/56.08 | (400) $false
% 103.98/56.08 |
% 103.98/56.08 |-The branch is then unsatisfiable
% 103.98/56.08 |-Branch two:
% 103.98/56.08 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.08 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (807), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (808) all_0_27_27 = e3
% 104.32/56.08 |
% 104.32/56.08 | Equations (808) can reduce 573 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (573) ~ (all_0_27_27 = e3)
% 104.32/56.08 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (811), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (812) all_0_27_27 = e2
% 104.32/56.08 |
% 104.32/56.08 | Equations (812) can reduce 475 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (475) ~ (all_0_27_27 = e2)
% 104.32/56.08 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (815), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (816) all_0_27_27 = e1
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 226 to:
% 104.32/56.08 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 337 to:
% 104.32/56.08 | (433) ~ (all_0_28_28 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 433 yields:
% 104.32/56.08 | (434) ~ (all_0_28_28 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 167 to:
% 104.32/56.08 | (762) ~ (all_0_37_37 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 762 yields:
% 104.32/56.08 | (763) ~ (all_0_37_37 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 785 to:
% 104.32/56.08 | (764) ~ (e4 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 764 yields:
% 104.32/56.08 | (56) ~ (e4 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 573 to:
% 104.32/56.08 | (824) ~ (e3 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 824 yields:
% 104.32/56.08 | (298) ~ (e3 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 475 to:
% 104.32/56.08 | (766) ~ (e2 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 766 yields:
% 104.32/56.08 | (310) ~ (e2 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 660 to:
% 104.32/56.08 | (40) ~ (e1 = e0)
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (262), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (829) all_0_19_19 = e1
% 104.32/56.08 |
% 104.32/56.08 | Equations (829) can reduce 460 to:
% 104.32/56.08 | (764) ~ (e4 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 764 yields:
% 104.32/56.08 | (56) ~ (e4 = e1)
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (790), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (832) all_0_26_26 = e4
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (471,832) yields a new equation:
% 104.32/56.08 | (798) e4 = e2
% 104.32/56.08 |
% 104.32/56.08 | Equations (798) can reduce 21 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (464) ~ (all_0_26_26 = e4)
% 104.32/56.08 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (801), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (804) all_0_27_27 = e4
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (816,804) yields a new equation:
% 104.32/56.08 | (838) e4 = e1
% 104.32/56.08 |
% 104.32/56.08 | Equations (838) can reduce 56 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.08 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (841), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (609) all_0_32_32 = e4
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (609,658) yields a new equation:
% 104.32/56.08 | (743) e4 = e0
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 743 yields:
% 104.32/56.08 | (515) e4 = e0
% 104.32/56.08 |
% 104.32/56.08 | Equations (515) can reduce 267 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (604) ~ (all_0_32_32 = e4)
% 104.32/56.08 | (847) all_0_37_37 = e4
% 104.32/56.08 |
% 104.32/56.08 | Equations (847) can reduce 763 to:
% 104.32/56.08 | (56) ~ (e4 = e1)
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (836), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (804) all_0_27_27 = e4
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (816,804) yields a new equation:
% 104.32/56.08 | (838) e4 = e1
% 104.32/56.08 |
% 104.32/56.08 | Equations (838) can reduce 56 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.08 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (853), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (854) all_0_28_28 = e4
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (142), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (855) all_0_17_17 = e3
% 104.32/56.08 |
% 104.32/56.08 | From (855) and (313) follows:
% 104.32/56.08 | (856) op(e4, e2) = e3
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (201), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (857) ~ (all_0_27_27 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 857 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (816) all_0_27_27 = e1
% 104.32/56.08 | (860) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (169), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (857) ~ (all_0_27_27 = e1)
% 104.32/56.08 |
% 104.32/56.08 | Equations (816) can reduce 857 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (816) all_0_27_27 = e1
% 104.32/56.08 | (864) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (864), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (865) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (865), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (866) all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.08 |
% 104.32/56.08 | Applying alpha-rule on (866) yields:
% 104.32/56.08 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.08 | (868) ~ (all_0_6_6 = e4)
% 104.32/56.08 | (869) op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (854,867) yields a new equation:
% 104.32/56.08 | (870) all_0_7_7 = e4
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (860), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (871) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 104.32/56.08 |
% 104.32/56.08 +-Applying beta-rule and splitting (871), into two cases.
% 104.32/56.08 |-Branch one:
% 104.32/56.08 | (872) all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.08 |
% 104.32/56.08 | Applying alpha-rule on (872) yields:
% 104.32/56.08 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.08 | (874) ~ (all_0_6_6 = e3)
% 104.32/56.08 | (869) op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.08 |
% 104.32/56.08 | Combining equations (867,870) yields a new equation:
% 104.32/56.08 | (876) all_0_28_28 = e4
% 104.32/56.08 |
% 104.32/56.08 | Simplifying 876 yields:
% 104.32/56.08 | (854) all_0_28_28 = e4
% 104.32/56.08 |
% 104.32/56.08 | From (854) and (869) follows:
% 104.32/56.08 | (878) op(e4, e2) = all_0_6_6
% 104.32/56.08 |
% 104.32/56.08 | Instantiating formula (29) with e4, e2, e3, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e3, yields:
% 104.32/56.08 | (879) all_0_6_6 = e3
% 104.32/56.08 |
% 104.32/56.08 | Equations (879) can reduce 874 to:
% 104.32/56.08 | (400) $false
% 104.32/56.08 |
% 104.32/56.08 |-The branch is then unsatisfiable
% 104.32/56.08 |-Branch two:
% 104.32/56.08 | (881) all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 104.32/56.08 |
% 104.32/56.08 | Applying alpha-rule on (881) yields:
% 104.32/56.08 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.08 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (867,870) yields a new equation:
% 104.32/56.09 | (876) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 876 yields:
% 104.32/56.09 | (854) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (854) can reduce 883 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (887) all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (887) yields:
% 104.32/56.09 | (888) all_0_8_8 = all_0_32_32
% 104.32/56.09 | (889) ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Equations (658) can reduce 889 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (891) all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (891) yields:
% 104.32/56.09 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.09 | (893) ~ (all_0_28_28 = e3)
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (854,867) yields a new equation:
% 104.32/56.09 | (870) all_0_7_7 = e4
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (860), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (871) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (871), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (872) all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (872) yields:
% 104.32/56.09 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.09 | (874) ~ (all_0_6_6 = e3)
% 104.32/56.09 | (869) op(all_0_28_28, e2) = all_0_6_6
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (867,870) yields a new equation:
% 104.32/56.09 | (876) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 876 yields:
% 104.32/56.09 | (854) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | From (854) and (869) follows:
% 104.32/56.09 | (878) op(e4, e2) = all_0_6_6
% 104.32/56.09 |
% 104.32/56.09 | Instantiating formula (29) with e4, e2, e3, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e3, yields:
% 104.32/56.09 | (879) all_0_6_6 = e3
% 104.32/56.09 |
% 104.32/56.09 | Equations (879) can reduce 874 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (881) all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (881) yields:
% 104.32/56.09 | (867) all_0_7_7 = all_0_28_28
% 104.32/56.09 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (867,870) yields a new equation:
% 104.32/56.09 | (876) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 876 yields:
% 104.32/56.09 | (854) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (854) can reduce 883 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (887) all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (887) yields:
% 104.32/56.09 | (888) all_0_8_8 = all_0_32_32
% 104.32/56.09 | (889) ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Equations (658) can reduce 889 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (887) all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Applying alpha-rule on (887) yields:
% 104.32/56.09 | (888) all_0_8_8 = all_0_32_32
% 104.32/56.09 | (889) ~ (all_0_32_32 = e0)
% 104.32/56.09 |
% 104.32/56.09 | Equations (658) can reduce 889 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (919) ~ (all_0_17_17 = e3)
% 104.32/56.09 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (920), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (921) all_0_22_22 = e3
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (921,442) yields a new equation:
% 104.32/56.09 | (614) e3 = e2
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 614 yields:
% 104.32/56.09 | (615) e3 = e2
% 104.32/56.09 |
% 104.32/56.09 | Equations (615) can reduce 52 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (925) ~ (all_0_22_22 = e3)
% 104.32/56.09 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (926), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (808) all_0_27_27 = e3
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (816,808) yields a new equation:
% 104.32/56.09 | (928) e3 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (928) can reduce 298 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (573) ~ (all_0_27_27 = e3)
% 104.32/56.09 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (931), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (629) all_0_32_32 = e3
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (658,629) yields a new equation:
% 104.32/56.09 | (648) e3 = e0
% 104.32/56.09 |
% 104.32/56.09 | Equations (648) can reduce 80 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (579) ~ (all_0_32_32 = e3)
% 104.32/56.09 | (936) all_0_37_37 = e3
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (847,936) yields a new equation:
% 104.32/56.09 | (596) e4 = e3
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 596 yields:
% 104.32/56.09 | (597) e4 = e3
% 104.32/56.09 |
% 104.32/56.09 | Equations (597) can reduce 255 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.09 | (941) all_0_29_29 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (941) can reduce 603 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (943) ~ (all_0_19_19 = e1)
% 104.32/56.09 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (790), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (832) all_0_26_26 = e4
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (471,832) yields a new equation:
% 104.32/56.09 | (798) e4 = e2
% 104.32/56.09 |
% 104.32/56.09 | Equations (798) can reduce 21 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (464) ~ (all_0_26_26 = e4)
% 104.32/56.09 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (801), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (804) all_0_27_27 = e4
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (816,804) yields a new equation:
% 104.32/56.09 | (838) e4 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (838) can reduce 56 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.09 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (841), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (609) all_0_32_32 = e4
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (609,658) yields a new equation:
% 104.32/56.09 | (743) e4 = e0
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 743 yields:
% 104.32/56.09 | (515) e4 = e0
% 104.32/56.09 |
% 104.32/56.09 | Equations (515) can reduce 267 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (604) ~ (all_0_32_32 = e4)
% 104.32/56.09 | (847) all_0_37_37 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (847) can reduce 763 to:
% 104.32/56.09 | (56) ~ (e4 = e1)
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (836), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (804) all_0_27_27 = e4
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (816,804) yields a new equation:
% 104.32/56.09 | (838) e4 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (838) can reduce 56 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.09 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (853), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (854) all_0_28_28 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (854) can reduce 434 to:
% 104.32/56.09 | (56) ~ (e4 = e1)
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (305), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (969) all_0_15_15 = e1
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (969,711) yields a new equation:
% 104.32/56.09 | (621) e2 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (621) can reduce 310 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.09 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (973), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (974) all_0_16_16 = e1
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (454,974) yields a new equation:
% 104.32/56.09 | (975) e4 = e1
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 975 yields:
% 104.32/56.09 | (838) e4 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (838) can reduce 56 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (415) ~ (all_0_16_16 = e1)
% 104.32/56.09 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (979), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (980) all_0_17_17 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (980) can reduce 817 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.09 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.09 |
% 104.32/56.09 +-Applying beta-rule and splitting (983), into two cases.
% 104.32/56.09 |-Branch one:
% 104.32/56.09 | (984) all_0_18_18 = e1
% 104.32/56.09 |
% 104.32/56.09 | Combining equations (984,756) yields a new equation:
% 104.32/56.09 | (530) e1 = e0
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 530 yields:
% 104.32/56.09 | (531) e1 = e0
% 104.32/56.09 |
% 104.32/56.09 | Equations (531) can reduce 40 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (428) ~ (all_0_18_18 = e1)
% 104.32/56.09 | (829) all_0_19_19 = e1
% 104.32/56.09 |
% 104.32/56.09 | Equations (829) can reduce 943 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.09 | (941) all_0_29_29 = e4
% 104.32/56.09 |
% 104.32/56.09 | Equations (941) can reduce 603 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (857) ~ (all_0_27_27 = e1)
% 104.32/56.09 | (995) all_0_27_27 = e0
% 104.32/56.09 |
% 104.32/56.09 | Equations (995) can reduce 660 to:
% 104.32/56.09 | (400) $false
% 104.32/56.09 |
% 104.32/56.09 |-The branch is then unsatisfiable
% 104.32/56.09 |-Branch two:
% 104.32/56.09 | (804) all_0_27_27 = e4
% 104.32/56.09 | (998) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 104.32/56.09 |
% 104.32/56.09 | Equations (804) can reduce 337 to:
% 104.32/56.09 | (999) ~ (all_0_28_28 = e4)
% 104.32/56.09 |
% 104.32/56.09 | Simplifying 999 yields:
% 104.32/56.09 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.10 |
% 104.32/56.10 | Equations (804) can reduce 167 to:
% 104.32/56.10 | (1001) ~ (all_0_37_37 = e4)
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 1001 yields:
% 104.32/56.10 | (1002) ~ (all_0_37_37 = e4)
% 104.32/56.10 |
% 104.32/56.10 | Equations (804) can reduce 660 to:
% 104.32/56.10 | (267) ~ (e4 = e0)
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (59), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (847) all_0_37_37 = e4
% 104.32/56.10 |
% 104.32/56.10 | Equations (847) can reduce 1002 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1002) ~ (all_0_37_37 = e4)
% 104.32/56.10 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (147), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1008) all_0_18_18 = e4
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (756,1008) yields a new equation:
% 104.32/56.10 | (515) e4 = e0
% 104.32/56.10 |
% 104.32/56.10 | Equations (515) can reduce 267 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (458) ~ (all_0_18_18 = e4)
% 104.32/56.10 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1007), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (936) all_0_37_37 = e3
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (281), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (785) ~ (all_0_27_27 = e4)
% 104.32/56.10 |
% 104.32/56.10 | Equations (804) can reduce 785 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (804) all_0_27_27 = e4
% 104.32/56.10 | (1017) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (86), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (854) all_0_28_28 = e4
% 104.32/56.10 |
% 104.32/56.10 | Equations (854) can reduce 883 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (883) ~ (all_0_28_28 = e4)
% 104.32/56.10 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1012), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1022) all_0_23_23 = e4
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (427,1022) yields a new equation:
% 104.32/56.10 | (838) e4 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (838) can reduce 56 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1025) ~ (all_0_23_23 = e4)
% 104.32/56.10 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.32/56.10 |
% 104.32/56.10 | Equations (427) can reduce 1025 to:
% 104.32/56.10 | (764) ~ (e4 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 764 yields:
% 104.32/56.10 | (56) ~ (e4 = e1)
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (249), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (980) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (776), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1030) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1030), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1031) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1031) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (1033) ~ (all_0_12_12 = e1)
% 104.32/56.10 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (980,1032) yields a new equation:
% 104.32/56.10 | (1035) all_0_13_13 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (784), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1036) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1036), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1037) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (1039) ~ (all_0_12_12 = e3)
% 104.32/56.10 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (1032,1035) yields a new equation:
% 104.32/56.10 | (1041) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 1041 yields:
% 104.32/56.10 | (980) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | From (980) and (1034) follows:
% 104.32/56.10 | (1043) op(e1, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 104.32/56.10 | (1044) all_0_12_12 = e3
% 104.32/56.10 |
% 104.32/56.10 | Equations (1044) can reduce 1039 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1046) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (1032,1035) yields a new equation:
% 104.32/56.10 | (1041) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 1041 yields:
% 104.32/56.10 | (980) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (980) can reduce 817 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1052) yields:
% 104.32/56.10 | (1053) all_0_14_14 = all_0_25_25
% 104.32/56.10 | (1054) ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Equations (749) can reduce 1054 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1056) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1056) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (919) ~ (all_0_17_17 = e3)
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (980,1032) yields a new equation:
% 104.32/56.10 | (1035) all_0_13_13 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (784), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1036) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1036), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1037) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (1039) ~ (all_0_12_12 = e3)
% 104.32/56.10 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (1032,1035) yields a new equation:
% 104.32/56.10 | (1041) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 1041 yields:
% 104.32/56.10 | (980) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | From (980) and (1034) follows:
% 104.32/56.10 | (1043) op(e1, e4) = all_0_12_12
% 104.32/56.10 |
% 104.32/56.10 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 104.32/56.10 | (1044) all_0_12_12 = e3
% 104.32/56.10 |
% 104.32/56.10 | Equations (1044) can reduce 1039 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1046) yields:
% 104.32/56.10 | (1032) all_0_13_13 = all_0_17_17
% 104.32/56.10 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (1032,1035) yields a new equation:
% 104.32/56.10 | (1041) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 1041 yields:
% 104.32/56.10 | (980) all_0_17_17 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (980) can reduce 817 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1052) yields:
% 104.32/56.10 | (1053) all_0_14_14 = all_0_25_25
% 104.32/56.10 | (1054) ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Equations (749) can reduce 1054 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Applying alpha-rule on (1052) yields:
% 104.32/56.10 | (1053) all_0_14_14 = all_0_25_25
% 104.32/56.10 | (1054) ~ (all_0_25_25 = e0)
% 104.32/56.10 |
% 104.32/56.10 | Equations (749) can reduce 1054 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.10 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (248), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (724) all_0_35_35 = e4
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (724,761) yields a new equation:
% 104.32/56.10 | (975) e4 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 975 yields:
% 104.32/56.10 | (838) e4 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (838) can reduce 56 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (509) ~ (all_0_35_35 = e4)
% 104.32/56.10 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 104.32/56.10 |
% 104.32/56.10 | Equations (761) can reduce 509 to:
% 104.32/56.10 | (764) ~ (e4 = e1)
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 764 yields:
% 104.32/56.10 | (56) ~ (e4 = e1)
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1085), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1094) all_0_22_22 = e1
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (442,1094) yields a new equation:
% 104.32/56.10 | (620) e2 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 620 yields:
% 104.32/56.10 | (621) e2 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (621) can reduce 310 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (1098) ~ (all_0_22_22 = e1)
% 104.32/56.10 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1099), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (816) all_0_27_27 = e1
% 104.32/56.10 |
% 104.32/56.10 | Combining equations (804,816) yields a new equation:
% 104.32/56.10 | (975) e4 = e1
% 104.32/56.10 |
% 104.32/56.10 | Simplifying 975 yields:
% 104.32/56.10 | (838) e4 = e1
% 104.32/56.10 |
% 104.32/56.10 | Equations (838) can reduce 56 to:
% 104.32/56.10 | (400) $false
% 104.32/56.10 |
% 104.32/56.10 |-The branch is then unsatisfiable
% 104.32/56.10 |-Branch two:
% 104.32/56.10 | (857) ~ (all_0_27_27 = e1)
% 104.32/56.10 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1021), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1106) all_0_28_28 = e3
% 104.32/56.10 |
% 104.32/56.10 | Equations (1106) can reduce 434 to:
% 104.32/56.10 | (298) ~ (e3 = e1)
% 104.32/56.10 |
% 104.32/56.10 +-Applying beta-rule and splitting (1105), into two cases.
% 104.32/56.10 |-Branch one:
% 104.32/56.10 | (1108) all_0_32_32 = e1
% 104.32/56.10 |
% 104.32/56.11 | Combining equations (658,1108) yields a new equation:
% 104.32/56.11 | (531) e1 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (531) can reduce 40 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (419) ~ (all_0_32_32 = e1)
% 104.32/56.11 | (1112) all_0_37_37 = e1
% 104.32/56.11 |
% 104.32/56.11 | Combining equations (936,1112) yields a new equation:
% 104.32/56.11 | (1113) e3 = e1
% 104.32/56.11 |
% 104.32/56.11 | Simplifying 1113 yields:
% 104.32/56.11 | (928) e3 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (928) can reduce 298 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (893) ~ (all_0_28_28 = e3)
% 104.32/56.11 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1117), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1118) all_0_28_28 = e2
% 104.32/56.11 |
% 104.32/56.11 | Equations (1118) can reduce 477 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (477) ~ (all_0_28_28 = e2)
% 104.32/56.11 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1121), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1122) all_0_28_28 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (1122) can reduce 434 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (434) ~ (all_0_28_28 = e1)
% 104.32/56.11 | (1125) all_0_28_28 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1125) can reduce 758 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1127) ~ (all_0_37_37 = e3)
% 104.32/56.11 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1128), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1129) all_0_37_37 = e2
% 104.32/56.11 |
% 104.32/56.11 | Equations (1129) can reduce 450 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (450) ~ (all_0_37_37 = e2)
% 104.32/56.11 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1132), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1112) all_0_37_37 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (1112) can reduce 763 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (763) ~ (all_0_37_37 = e1)
% 104.32/56.11 | (1136) all_0_37_37 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1136) can reduce 538 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1138) ~ (all_0_35_35 = e1)
% 104.32/56.11 | (1139) all_0_35_35 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1139) can reduce 536 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1141) ~ (all_0_18_18 = e0)
% 104.32/56.11 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (342), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1008) all_0_18_18 = e4
% 104.32/56.11 |
% 104.32/56.11 | Equations (1008) can reduce 458 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (458) ~ (all_0_18_18 = e4)
% 104.32/56.11 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1146), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1147) all_0_18_18 = e3
% 104.32/56.11 |
% 104.32/56.11 | Equations (1147) can reduce 9 to:
% 104.32/56.11 | (919) ~ (all_0_17_17 = e3)
% 104.32/56.11 |
% 104.32/56.11 | Equations (1147) can reduce 172 to:
% 104.32/56.11 | (1149) ~ (all_0_19_19 = e3)
% 104.32/56.11 |
% 104.32/56.11 | Simplifying 1149 yields:
% 104.32/56.11 | (1150) ~ (all_0_19_19 = e3)
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (332), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1151) all_0_19_19 = e4
% 104.32/56.11 |
% 104.32/56.11 | Equations (1151) can reduce 460 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (460) ~ (all_0_19_19 = e4)
% 104.32/56.11 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (51), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (793) all_0_17_17 = e4
% 104.32/56.11 |
% 104.32/56.11 | Equations (793) can reduce 456 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.11 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1154), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1159) all_0_19_19 = e3
% 104.32/56.11 |
% 104.32/56.11 | Equations (1159) can reduce 1150 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1150) ~ (all_0_19_19 = e3)
% 104.32/56.11 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1162), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1163) all_0_19_19 = e2
% 104.32/56.11 |
% 104.32/56.11 | Equations (1163) can reduce 706 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (706) ~ (all_0_19_19 = e2)
% 104.32/56.11 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1166), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (829) all_0_19_19 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (829) can reduce 131 to:
% 104.32/56.11 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (241), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (793) all_0_17_17 = e4
% 104.32/56.11 |
% 104.32/56.11 | Equations (793) can reduce 456 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.11 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1172), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (855) all_0_17_17 = e3
% 104.32/56.11 |
% 104.32/56.11 | Equations (855) can reduce 919 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (919) ~ (all_0_17_17 = e3)
% 104.32/56.11 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1176), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1177) all_0_17_17 = e2
% 104.32/56.11 |
% 104.32/56.11 | Equations (1177) can reduce 396 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (396) ~ (all_0_17_17 = e2)
% 104.32/56.11 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1180), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (980) all_0_17_17 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (980) can reduce 817 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.11 | (1184) all_0_17_17 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1184) can reduce 659 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (943) ~ (all_0_19_19 = e1)
% 104.32/56.11 | (1187) all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1187) can reduce 489 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1189) ~ (all_0_18_18 = e3)
% 104.32/56.11 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1190), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1191) all_0_18_18 = e2
% 104.32/56.11 |
% 104.32/56.11 | Equations (1191) can reduce 638 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (638) ~ (all_0_18_18 = e2)
% 104.32/56.11 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1194), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (984) all_0_18_18 = e1
% 104.32/56.11 |
% 104.32/56.11 | Equations (984) can reduce 428 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (428) ~ (all_0_18_18 = e1)
% 104.32/56.11 | (756) all_0_18_18 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (756) can reduce 1141 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (1054) ~ (all_0_25_25 = e0)
% 104.32/56.11 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (735), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (761) all_0_35_35 = e1
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (92), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (736) all_0_15_15 = e0
% 104.32/56.11 |
% 104.32/56.11 | Combining equations (736,711) yields a new equation:
% 104.32/56.11 | (525) e2 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (525) can reduce 336 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (739) ~ (all_0_15_15 = e0)
% 104.32/56.11 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1207), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (514) all_0_16_16 = e0
% 104.32/56.11 |
% 104.32/56.11 | Combining equations (514,454) yields a new equation:
% 104.32/56.11 | (515) e4 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (515) can reduce 267 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (517) ~ (all_0_16_16 = e0)
% 104.32/56.11 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1212), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (1184) all_0_17_17 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (1184) can reduce 659 to:
% 104.32/56.11 | (400) $false
% 104.32/56.11 |
% 104.32/56.11 |-The branch is then unsatisfiable
% 104.32/56.11 |-Branch two:
% 104.32/56.11 | (659) ~ (all_0_17_17 = e0)
% 104.32/56.11 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1216), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (756) all_0_18_18 = e0
% 104.32/56.11 |
% 104.32/56.11 | Equations (756) can reduce 428 to:
% 104.32/56.11 | (498) ~ (e1 = e0)
% 104.32/56.11 |
% 104.32/56.11 | Simplifying 498 yields:
% 104.32/56.11 | (40) ~ (e1 = e0)
% 104.32/56.11 |
% 104.32/56.11 +-Applying beta-rule and splitting (1201), into two cases.
% 104.32/56.11 |-Branch one:
% 104.32/56.11 | (646) all_0_30_30 = e0
% 104.32/56.11 |
% 104.32/56.11 | Combining equations (575,646) yields a new equation:
% 104.32/56.11 | (647) e3 = e0
% 104.32/56.12 |
% 104.32/56.12 | Simplifying 647 yields:
% 104.32/56.12 | (648) e3 = e0
% 104.32/56.12 |
% 104.32/56.12 | Equations (648) can reduce 80 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (650) ~ (all_0_30_30 = e0)
% 104.32/56.12 | (1139) all_0_35_35 = e0
% 104.32/56.12 |
% 104.32/56.12 | Combining equations (1139,761) yields a new equation:
% 104.32/56.12 | (531) e1 = e0
% 104.32/56.12 |
% 104.32/56.12 | Equations (531) can reduce 40 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (1141) ~ (all_0_18_18 = e0)
% 104.32/56.12 | (1187) all_0_19_19 = e0
% 104.32/56.12 |
% 104.32/56.12 | Equations (1187) can reduce 489 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (1138) ~ (all_0_35_35 = e1)
% 104.32/56.12 | (1139) all_0_35_35 = e0
% 104.32/56.12 |
% 104.32/56.12 | Equations (1139) can reduce 536 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (769) ~ (all_0_15_15 = e2)
% 104.32/56.12 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1235), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1236) all_0_16_16 = e2
% 104.32/56.12 |
% 104.32/56.12 | Combining equations (1236,454) yields a new equation:
% 104.32/56.12 | (798) e4 = e2
% 104.32/56.12 |
% 104.32/56.12 | Equations (798) can reduce 21 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (1239) ~ (all_0_16_16 = e2)
% 104.32/56.12 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1240), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1177) all_0_17_17 = e2
% 104.32/56.12 |
% 104.32/56.12 | Equations (1177) can reduce 396 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (396) ~ (all_0_17_17 = e2)
% 104.32/56.12 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1244), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1191) all_0_18_18 = e2
% 104.32/56.12 |
% 104.32/56.12 | Equations (1191) can reduce 638 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (638) ~ (all_0_18_18 = e2)
% 104.32/56.12 | (1163) all_0_19_19 = e2
% 104.32/56.12 |
% 104.32/56.12 | Equations (1163) can reduce 706 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (1250) ~ (all_0_39_39 = e2)
% 104.32/56.12 | (1251) all_0_39_39 = e1 | all_0_39_39 = e0
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1251), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1252) all_0_39_39 = e1
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 696 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (696) ~ (all_0_39_39 = e1)
% 104.32/56.12 | (1255) all_0_39_39 = e0
% 104.32/56.12 |
% 104.32/56.12 | Equations (1255) can reduce 542 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (1252) all_0_39_39 = e1
% 104.32/56.12 | (1258) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 94 to:
% 104.32/56.12 | (943) ~ (all_0_19_19 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 63 to:
% 104.32/56.12 | (1138) ~ (all_0_35_35 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 607 to:
% 104.32/56.12 | (764) ~ (e4 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Simplifying 764 yields:
% 104.32/56.12 | (56) ~ (e4 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 571 to:
% 104.32/56.12 | (824) ~ (e3 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Simplifying 824 yields:
% 104.32/56.12 | (298) ~ (e3 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Equations (1252) can reduce 542 to:
% 104.32/56.12 | (40) ~ (e1 = e0)
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (128), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (724) all_0_35_35 = e4
% 104.32/56.12 |
% 104.32/56.12 | Equations (724) can reduce 509 to:
% 104.32/56.12 | (400) $false
% 104.32/56.12 |
% 104.32/56.12 |-The branch is then unsatisfiable
% 104.32/56.12 |-Branch two:
% 104.32/56.12 | (509) ~ (all_0_35_35 = e4)
% 104.32/56.12 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (121), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (732) all_0_35_35 = e2
% 104.32/56.12 |
% 104.32/56.12 | Equations (732) can reduce 39 to:
% 104.32/56.12 | (769) ~ (all_0_15_15 = e2)
% 104.32/56.12 |
% 104.32/56.12 | Equations (732) can reduce 509 to:
% 104.32/56.12 | (482) ~ (e4 = e2)
% 104.32/56.12 |
% 104.32/56.12 | Simplifying 482 yields:
% 104.32/56.12 | (21) ~ (e4 = e2)
% 104.32/56.12 |
% 104.32/56.12 | Equations (732) can reduce 585 to:
% 104.32/56.12 | (643) ~ (e3 = e2)
% 104.32/56.12 |
% 104.32/56.12 | Simplifying 643 yields:
% 104.32/56.12 | (52) ~ (e3 = e2)
% 104.32/56.12 |
% 104.32/56.12 | Equations (732) can reduce 1138 to:
% 104.32/56.12 | (310) ~ (e2 = e1)
% 104.32/56.12 |
% 104.32/56.12 | Equations (732) can reduce 536 to:
% 104.32/56.12 | (336) ~ (e2 = e0)
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (251), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1278), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1279), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1280), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1281), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 104.32/56.12 |
% 104.32/56.12 +-Applying beta-rule and splitting (1282), into two cases.
% 104.32/56.12 |-Branch one:
% 104.32/56.12 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1283), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1284), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1285), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1286), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1287), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1288), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1289), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1290), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1291), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1292), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1293), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1294), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 104.32/56.13 |
% 104.32/56.13 +-Applying beta-rule and splitting (1295), into two cases.
% 104.32/56.13 |-Branch one:
% 104.32/56.13 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1296) yields:
% 104.32/56.13 | (1297) all_0_15_15 = e3
% 104.32/56.13 | (550) all_0_21_21 = e4
% 104.32/56.13 | (1299) ~ (all_0_16_16 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (550,557) yields a new equation:
% 104.32/56.13 | (596) e4 = e3
% 104.32/56.13 |
% 104.32/56.13 | Simplifying 596 yields:
% 104.32/56.13 | (597) e4 = e3
% 104.32/56.13 |
% 104.32/56.13 | Equations (597) can reduce 255 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1303) yields:
% 104.32/56.13 | (1297) all_0_15_15 = e3
% 104.32/56.13 | (550) all_0_21_21 = e4
% 104.32/56.13 | (1306) ~ (all_0_20_20 = e3)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (550,557) yields a new equation:
% 104.32/56.13 | (596) e4 = e3
% 104.32/56.13 |
% 104.32/56.13 | Simplifying 596 yields:
% 104.32/56.13 | (597) e4 = e3
% 104.32/56.13 |
% 104.32/56.13 | Equations (597) can reduce 255 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1310) yields:
% 104.32/56.13 | (711) all_0_15_15 = e2
% 104.32/56.13 | (804) all_0_27_27 = e4
% 104.32/56.13 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Equations (711) can reduce 769 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1315) yields:
% 104.32/56.13 | (711) all_0_15_15 = e2
% 104.32/56.13 | (804) all_0_27_27 = e4
% 104.32/56.13 | (473) ~ (all_0_25_25 = e2)
% 104.32/56.13 |
% 104.32/56.13 | Equations (711) can reduce 769 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1320) yields:
% 104.32/56.13 | (969) all_0_15_15 = e1
% 104.32/56.13 | (1322) all_0_33_33 = e4
% 104.32/56.13 | (458) ~ (all_0_18_18 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (637,1322) yields a new equation:
% 104.32/56.13 | (798) e4 = e2
% 104.32/56.13 |
% 104.32/56.13 | Equations (798) can reduce 21 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1326) yields:
% 104.32/56.13 | (969) all_0_15_15 = e1
% 104.32/56.13 | (1322) all_0_33_33 = e4
% 104.32/56.13 | (417) ~ (all_0_30_30 = e1)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (637,1322) yields a new equation:
% 104.32/56.13 | (798) e4 = e2
% 104.32/56.13 |
% 104.32/56.13 | Equations (798) can reduce 21 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1332) yields:
% 104.32/56.13 | (736) all_0_15_15 = e0
% 104.32/56.13 | (697) all_0_39_39 = e4
% 104.32/56.13 | (460) ~ (all_0_19_19 = e4)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (697,1252) yields a new equation:
% 104.32/56.13 | (975) e4 = e1
% 104.32/56.13 |
% 104.32/56.13 | Simplifying 975 yields:
% 104.32/56.13 | (838) e4 = e1
% 104.32/56.13 |
% 104.32/56.13 | Equations (838) can reduce 56 to:
% 104.32/56.13 | (400) $false
% 104.32/56.13 |
% 104.32/56.13 |-The branch is then unsatisfiable
% 104.32/56.13 |-Branch two:
% 104.32/56.13 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 104.32/56.13 |
% 104.32/56.13 | Applying alpha-rule on (1339) yields:
% 104.32/56.13 | (736) all_0_15_15 = e0
% 104.32/56.13 | (697) all_0_39_39 = e4
% 104.32/56.13 | (536) ~ (all_0_35_35 = e0)
% 104.32/56.13 |
% 104.32/56.13 | Combining equations (697,1252) yields a new equation:
% 104.32/56.13 | (975) e4 = e1
% 104.32/56.13 |
% 104.32/56.13 | Simplifying 975 yields:
% 104.32/56.13 | (838) e4 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (838) can reduce 56 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1346) yields:
% 104.32/56.14 | (1347) all_0_21_21 = e2
% 104.32/56.14 | (808) all_0_27_27 = e3
% 104.32/56.14 | (925) ~ (all_0_22_22 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1347,557) yields a new equation:
% 104.32/56.14 | (615) e3 = e2
% 104.32/56.14 |
% 104.32/56.14 | Equations (615) can reduce 52 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1352) yields:
% 104.32/56.14 | (1347) all_0_21_21 = e2
% 104.32/56.14 | (808) all_0_27_27 = e3
% 104.32/56.14 | (1355) ~ (all_0_26_26 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1347,557) yields a new equation:
% 104.32/56.14 | (615) e3 = e2
% 104.32/56.14 |
% 104.32/56.14 | Equations (615) can reduce 52 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1358) yields:
% 104.32/56.14 | (1359) all_0_21_21 = e1
% 104.32/56.14 | (1360) all_0_33_33 = e3
% 104.32/56.14 | (1361) ~ (all_0_23_23 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1359,557) yields a new equation:
% 104.32/56.14 | (928) e3 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (637,1360) yields a new equation:
% 104.32/56.14 | (615) e3 = e2
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (615,928) yields a new equation:
% 104.32/56.14 | (620) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 620 yields:
% 104.32/56.14 | (621) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (621) can reduce 310 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1367) yields:
% 104.32/56.14 | (1359) all_0_21_21 = e1
% 104.32/56.14 | (1360) all_0_33_33 = e3
% 104.32/56.14 | (1370) ~ (all_0_31_31 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1359,557) yields a new equation:
% 104.32/56.14 | (928) e3 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (637,1360) yields a new equation:
% 104.32/56.14 | (615) e3 = e2
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (615,928) yields a new equation:
% 104.32/56.14 | (620) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 620 yields:
% 104.32/56.14 | (621) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (621) can reduce 310 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1376) yields:
% 104.32/56.14 | (519) all_0_21_21 = e0
% 104.32/56.14 | (701) all_0_39_39 = e3
% 104.32/56.14 | (1379) ~ (all_0_24_24 = e3)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (519,557) yields a new equation:
% 104.32/56.14 | (648) e3 = e0
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1252,701) yields a new equation:
% 104.32/56.14 | (928) e3 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (928,648) yields a new equation:
% 104.32/56.14 | (530) e1 = e0
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 530 yields:
% 104.32/56.14 | (531) e1 = e0
% 104.32/56.14 |
% 104.32/56.14 | Equations (531) can reduce 40 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1385) yields:
% 104.32/56.14 | (519) all_0_21_21 = e0
% 104.32/56.14 | (701) all_0_39_39 = e3
% 104.32/56.14 | (1388) ~ (all_0_36_36 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (519,557) yields a new equation:
% 104.32/56.14 | (648) e3 = e0
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (1252,701) yields a new equation:
% 104.32/56.14 | (928) e3 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (928,648) yields a new equation:
% 104.32/56.14 | (530) e1 = e0
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 530 yields:
% 104.32/56.14 | (531) e1 = e0
% 104.32/56.14 |
% 104.32/56.14 | Equations (531) can reduce 40 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1394) yields:
% 104.32/56.14 | (816) all_0_27_27 = e1
% 104.32/56.14 | (637) all_0_33_33 = e2
% 104.32/56.14 | (477) ~ (all_0_28_28 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Equations (816) can reduce 226 to:
% 104.32/56.14 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (114), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (969) all_0_15_15 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (969) can reduce 679 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.14 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (305), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (969) all_0_15_15 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (969) can reduce 679 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.14 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (973), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (974) all_0_16_16 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (974,454) yields a new equation:
% 104.32/56.14 | (838) e4 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (838) can reduce 56 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (415) ~ (all_0_16_16 = e1)
% 104.32/56.14 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (979), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (980) all_0_17_17 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (980) can reduce 817 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.14 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (983), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (984) all_0_18_18 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (984) can reduce 428 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (428) ~ (all_0_18_18 = e1)
% 104.32/56.14 | (829) all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (829) can reduce 943 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1421) yields:
% 104.32/56.14 | (816) all_0_27_27 = e1
% 104.32/56.14 | (637) all_0_33_33 = e2
% 104.32/56.14 | (419) ~ (all_0_32_32 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Equations (816) can reduce 226 to:
% 104.32/56.14 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (114), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (969) all_0_15_15 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (969) can reduce 679 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.14 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (305), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (969) all_0_15_15 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (969) can reduce 679 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.14 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (973), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (974) all_0_16_16 = e1
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (974,454) yields a new equation:
% 104.32/56.14 | (838) e4 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (838) can reduce 56 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (415) ~ (all_0_16_16 = e1)
% 104.32/56.14 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (979), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (980) all_0_17_17 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (980) can reduce 817 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.14 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 +-Applying beta-rule and splitting (983), into two cases.
% 104.32/56.14 |-Branch one:
% 104.32/56.14 | (984) all_0_18_18 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (984) can reduce 428 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (428) ~ (all_0_18_18 = e1)
% 104.32/56.14 | (829) all_0_19_19 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (829) can reduce 943 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1448) yields:
% 104.32/56.14 | (995) all_0_27_27 = e0
% 104.32/56.14 | (705) all_0_39_39 = e2
% 104.32/56.14 | (479) ~ (all_0_29_29 = e2)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (705,1252) yields a new equation:
% 104.32/56.14 | (620) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 620 yields:
% 104.32/56.14 | (621) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (621) can reduce 310 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1455) yields:
% 104.32/56.14 | (995) all_0_27_27 = e0
% 104.32/56.14 | (705) all_0_39_39 = e2
% 104.32/56.14 | (538) ~ (all_0_37_37 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (705,1252) yields a new equation:
% 104.32/56.14 | (620) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 620 yields:
% 104.32/56.14 | (621) e2 = e1
% 104.32/56.14 |
% 104.32/56.14 | Equations (621) can reduce 310 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1462) yields:
% 104.32/56.14 | (1463) all_0_33_33 = e0
% 104.32/56.14 | (1252) all_0_39_39 = e1
% 104.32/56.14 | (421) ~ (all_0_34_34 = e1)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (637,1463) yields a new equation:
% 104.32/56.14 | (524) e2 = e0
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 524 yields:
% 104.32/56.14 | (525) e2 = e0
% 104.32/56.14 |
% 104.32/56.14 | Equations (525) can reduce 336 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.14 |-Branch two:
% 104.32/56.14 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Applying alpha-rule on (1469) yields:
% 104.32/56.14 | (1463) all_0_33_33 = e0
% 104.32/56.14 | (1252) all_0_39_39 = e1
% 104.32/56.14 | (540) ~ (all_0_38_38 = e0)
% 104.32/56.14 |
% 104.32/56.14 | Combining equations (637,1463) yields a new equation:
% 104.32/56.14 | (524) e2 = e0
% 104.32/56.14 |
% 104.32/56.14 | Simplifying 524 yields:
% 104.32/56.14 | (525) e2 = e0
% 104.32/56.14 |
% 104.32/56.14 | Equations (525) can reduce 336 to:
% 104.32/56.14 | (400) $false
% 104.32/56.14 |
% 104.32/56.14 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (719) ~ (all_0_35_35 = e2)
% 104.32/56.15 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1477), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1478) all_0_36_36 = e2
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (534,1478) yields a new equation:
% 104.32/56.15 | (525) e2 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (525) can reduce 336 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (481) ~ (all_0_36_36 = e2)
% 104.32/56.15 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (534) can reduce 481 to:
% 104.32/56.15 | (496) ~ (e2 = e0)
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 496 yields:
% 104.32/56.15 | (336) ~ (e2 = e0)
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (114), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (969) all_0_15_15 = e1
% 104.32/56.15 |
% 104.32/56.15 | Equations (969) can reduce 679 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (679) ~ (all_0_15_15 = e1)
% 104.32/56.15 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (179), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (711) all_0_15_15 = e2
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1402), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1490) all_0_20_20 = e1
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (1490,500) yields a new equation:
% 104.32/56.15 | (838) e4 = e1
% 104.32/56.15 |
% 104.32/56.15 | Equations (838) can reduce 56 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (429) ~ (all_0_20_20 = e1)
% 104.32/56.15 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1494), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1495) all_0_25_25 = e1
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (123), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (736) all_0_15_15 = e0
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (736,711) yields a new equation:
% 104.32/56.15 | (525) e2 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (525) can reduce 336 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (739) ~ (all_0_15_15 = e0)
% 104.32/56.15 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (740), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (742) all_0_20_20 = e0
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (742,500) yields a new equation:
% 104.32/56.15 | (515) e4 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (515) can reduce 267 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (490) ~ (all_0_20_20 = e0)
% 104.32/56.15 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (747), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (749) all_0_25_25 = e0
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (1495,749) yields a new equation:
% 104.32/56.15 | (530) e1 = e0
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 530 yields:
% 104.32/56.15 | (531) e1 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (531) can reduce 40 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (1054) ~ (all_0_25_25 = e0)
% 104.32/56.15 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1201), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (646) all_0_30_30 = e0
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (575,646) yields a new equation:
% 104.32/56.15 | (647) e3 = e0
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 647 yields:
% 104.32/56.15 | (648) e3 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (648) can reduce 80 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (650) ~ (all_0_30_30 = e0)
% 104.32/56.15 | (1139) all_0_35_35 = e0
% 104.32/56.15 |
% 104.32/56.15 | Equations (1139) can reduce 536 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (1519) ~ (all_0_25_25 = e1)
% 104.32/56.15 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1520), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1521) all_0_30_30 = e1
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (575,1521) yields a new equation:
% 104.32/56.15 | (1113) e3 = e1
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 1113 yields:
% 104.32/56.15 | (928) e3 = e1
% 104.32/56.15 |
% 104.32/56.15 | Equations (928) can reduce 298 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (417) ~ (all_0_30_30 = e1)
% 104.32/56.15 | (761) all_0_35_35 = e1
% 104.32/56.15 |
% 104.32/56.15 | Equations (761) can reduce 1138 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (769) ~ (all_0_15_15 = e2)
% 104.32/56.15 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1529), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1530) all_0_20_20 = e2
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (500,1530) yields a new equation:
% 104.32/56.15 | (1531) e4 = e2
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 1531 yields:
% 104.32/56.15 | (798) e4 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (798) can reduce 21 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (444) ~ (all_0_20_20 = e2)
% 104.32/56.15 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1535), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1536) all_0_25_25 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (1536) can reduce 473 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (473) ~ (all_0_25_25 = e2)
% 104.32/56.15 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1539), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (613) all_0_30_30 = e2
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (575,613) yields a new equation:
% 104.32/56.15 | (614) e3 = e2
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 614 yields:
% 104.32/56.15 | (615) e3 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (615) can reduce 52 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (617) ~ (all_0_30_30 = e2)
% 104.32/56.15 | (732) all_0_35_35 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (732) can reduce 719 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (969) all_0_15_15 = e1
% 104.32/56.15 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 104.32/56.15 |
% 104.32/56.15 | Equations (969) can reduce 90 to:
% 104.32/56.15 | (1549) ~ (all_0_18_18 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 1549 yields:
% 104.32/56.15 | (428) ~ (all_0_18_18 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Equations (969) can reduce 501 to:
% 104.32/56.15 | (764) ~ (e4 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 764 yields:
% 104.32/56.15 | (56) ~ (e4 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Equations (969) can reduce 572 to:
% 104.32/56.15 | (824) ~ (e3 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 824 yields:
% 104.32/56.15 | (298) ~ (e3 = e1)
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (160), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (711) all_0_15_15 = e2
% 104.32/56.15 |
% 104.32/56.15 | Combining equations (711,969) yields a new equation:
% 104.32/56.15 | (620) e2 = e1
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 620 yields:
% 104.32/56.15 | (621) e2 = e1
% 104.32/56.15 |
% 104.32/56.15 | Equations (621) can reduce 310 to:
% 104.32/56.15 | (400) $false
% 104.32/56.15 |
% 104.32/56.15 |-The branch is then unsatisfiable
% 104.32/56.15 |-Branch two:
% 104.32/56.15 | (769) ~ (all_0_15_15 = e2)
% 104.32/56.15 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 104.32/56.15 |
% 104.32/56.15 | Equations (969) can reduce 769 to:
% 104.32/56.15 | (766) ~ (e2 = e1)
% 104.32/56.15 |
% 104.32/56.15 | Simplifying 766 yields:
% 104.32/56.15 | (310) ~ (e2 = e1)
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1548), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1563) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1563), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 104.32/56.15 |
% 104.32/56.15 | Applying alpha-rule on (1564) yields:
% 104.32/56.15 | (1565) all_0_13_13 = all_0_18_18
% 104.32/56.15 | (1566) ~ (all_0_12_12 = e0)
% 104.32/56.15 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (251), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1278), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 104.32/56.15 |
% 104.32/56.15 +-Applying beta-rule and splitting (1279), into two cases.
% 104.32/56.15 |-Branch one:
% 104.32/56.15 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1280), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1281), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1282), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1283), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1284), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1285), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1286), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1287), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1288), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1289), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1290), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1291), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1292), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1293), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1294), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 104.32/56.16 |
% 104.32/56.16 +-Applying beta-rule and splitting (1295), into two cases.
% 104.32/56.16 |-Branch one:
% 104.32/56.16 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 104.32/56.16 |
% 104.32/56.16 | Applying alpha-rule on (1296) yields:
% 104.32/56.16 | (1297) all_0_15_15 = e3
% 104.32/56.16 | (550) all_0_21_21 = e4
% 104.32/56.16 | (1299) ~ (all_0_16_16 = e4)
% 104.32/56.16 |
% 104.32/56.16 | Combining equations (1297,969) yields a new equation:
% 104.32/56.16 | (1113) e3 = e1
% 104.32/56.16 |
% 104.32/56.16 | Simplifying 1113 yields:
% 104.32/56.16 | (928) e3 = e1
% 104.32/56.16 |
% 104.32/56.16 | Equations (928) can reduce 298 to:
% 104.32/56.16 | (400) $false
% 104.32/56.16 |
% 104.32/56.16 |-The branch is then unsatisfiable
% 104.32/56.16 |-Branch two:
% 104.32/56.16 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 104.32/56.16 |
% 104.32/56.16 | Applying alpha-rule on (1303) yields:
% 104.32/56.16 | (1297) all_0_15_15 = e3
% 104.32/56.16 | (550) all_0_21_21 = e4
% 104.32/56.16 | (1306) ~ (all_0_20_20 = e3)
% 104.32/56.16 |
% 104.32/56.16 | Combining equations (1297,969) yields a new equation:
% 104.32/56.16 | (1113) e3 = e1
% 104.32/56.16 |
% 104.32/56.16 | Simplifying 1113 yields:
% 104.32/56.16 | (928) e3 = e1
% 104.32/56.16 |
% 104.32/56.16 | Equations (928) can reduce 298 to:
% 104.32/56.16 | (400) $false
% 104.32/56.16 |
% 104.32/56.16 |-The branch is then unsatisfiable
% 104.32/56.16 |-Branch two:
% 104.32/56.16 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 104.32/56.16 |
% 104.32/56.16 | Applying alpha-rule on (1310) yields:
% 104.32/56.16 | (711) all_0_15_15 = e2
% 104.32/56.16 | (804) all_0_27_27 = e4
% 104.32/56.16 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.16 |
% 104.32/56.16 | Combining equations (711,969) yields a new equation:
% 104.32/56.16 | (620) e2 = e1
% 104.32/56.16 |
% 104.32/56.16 | Simplifying 620 yields:
% 104.32/56.16 | (621) e2 = e1
% 104.32/56.16 |
% 104.32/56.16 | Equations (621) can reduce 310 to:
% 104.32/56.16 | (400) $false
% 104.32/56.16 |
% 104.32/56.16 |-The branch is then unsatisfiable
% 104.32/56.16 |-Branch two:
% 104.32/56.16 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 104.32/56.16 |
% 104.32/56.16 | Applying alpha-rule on (1315) yields:
% 104.32/56.16 | (711) all_0_15_15 = e2
% 104.32/56.16 | (804) all_0_27_27 = e4
% 104.32/56.17 | (473) ~ (all_0_25_25 = e2)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (711,969) yields a new equation:
% 104.32/56.17 | (620) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 620 yields:
% 104.32/56.17 | (621) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Equations (621) can reduce 310 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1320) yields:
% 104.32/56.17 | (969) all_0_15_15 = e1
% 104.32/56.17 | (1322) all_0_33_33 = e4
% 104.32/56.17 | (458) ~ (all_0_18_18 = e4)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (1322,637) yields a new equation:
% 104.32/56.17 | (1531) e4 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 1531 yields:
% 104.32/56.17 | (798) e4 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (798) can reduce 21 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1326) yields:
% 104.32/56.17 | (969) all_0_15_15 = e1
% 104.32/56.17 | (1322) all_0_33_33 = e4
% 104.32/56.17 | (417) ~ (all_0_30_30 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (1322,637) yields a new equation:
% 104.32/56.17 | (1531) e4 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 1531 yields:
% 104.32/56.17 | (798) e4 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (798) can reduce 21 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1332) yields:
% 104.32/56.17 | (736) all_0_15_15 = e0
% 104.32/56.17 | (697) all_0_39_39 = e4
% 104.32/56.17 | (460) ~ (all_0_19_19 = e4)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (736,969) yields a new equation:
% 104.32/56.17 | (531) e1 = e0
% 104.32/56.17 |
% 104.32/56.17 | Equations (531) can reduce 40 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1339) yields:
% 104.32/56.17 | (736) all_0_15_15 = e0
% 104.32/56.17 | (697) all_0_39_39 = e4
% 104.32/56.17 | (536) ~ (all_0_35_35 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (736,969) yields a new equation:
% 104.32/56.17 | (531) e1 = e0
% 104.32/56.17 |
% 104.32/56.17 | Equations (531) can reduce 40 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1346) yields:
% 104.32/56.17 | (1347) all_0_21_21 = e2
% 104.32/56.17 | (808) all_0_27_27 = e3
% 104.32/56.17 | (925) ~ (all_0_22_22 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,1347) yields a new equation:
% 104.32/56.17 | (614) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 614 yields:
% 104.32/56.17 | (615) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (615) can reduce 52 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1352) yields:
% 104.32/56.17 | (1347) all_0_21_21 = e2
% 104.32/56.17 | (808) all_0_27_27 = e3
% 104.32/56.17 | (1355) ~ (all_0_26_26 = e2)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,1347) yields a new equation:
% 104.32/56.17 | (614) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 614 yields:
% 104.32/56.17 | (615) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (615) can reduce 52 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1358) yields:
% 104.32/56.17 | (1359) all_0_21_21 = e1
% 104.32/56.17 | (1360) all_0_33_33 = e3
% 104.32/56.17 | (1361) ~ (all_0_23_23 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,1359) yields a new equation:
% 104.32/56.17 | (1113) e3 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 1113 yields:
% 104.32/56.17 | (928) e3 = e1
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (1360,637) yields a new equation:
% 104.32/56.17 | (614) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 614 yields:
% 104.32/56.17 | (615) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (615,928) yields a new equation:
% 104.32/56.17 | (620) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 620 yields:
% 104.32/56.17 | (621) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Equations (621) can reduce 310 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1367) yields:
% 104.32/56.17 | (1359) all_0_21_21 = e1
% 104.32/56.17 | (1360) all_0_33_33 = e3
% 104.32/56.17 | (1370) ~ (all_0_31_31 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,1359) yields a new equation:
% 104.32/56.17 | (1113) e3 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 1113 yields:
% 104.32/56.17 | (928) e3 = e1
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (1360,637) yields a new equation:
% 104.32/56.17 | (614) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 614 yields:
% 104.32/56.17 | (615) e3 = e2
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (615,928) yields a new equation:
% 104.32/56.17 | (620) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 620 yields:
% 104.32/56.17 | (621) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Equations (621) can reduce 310 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1376) yields:
% 104.32/56.17 | (519) all_0_21_21 = e0
% 104.32/56.17 | (701) all_0_39_39 = e3
% 104.32/56.17 | (1379) ~ (all_0_24_24 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,519) yields a new equation:
% 104.32/56.17 | (647) e3 = e0
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 647 yields:
% 104.32/56.17 | (648) e3 = e0
% 104.32/56.17 |
% 104.32/56.17 | Equations (648) can reduce 80 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1385) yields:
% 104.32/56.17 | (519) all_0_21_21 = e0
% 104.32/56.17 | (701) all_0_39_39 = e3
% 104.32/56.17 | (1388) ~ (all_0_36_36 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (557,519) yields a new equation:
% 104.32/56.17 | (647) e3 = e0
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 647 yields:
% 104.32/56.17 | (648) e3 = e0
% 104.32/56.17 |
% 104.32/56.17 | Equations (648) can reduce 80 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 104.32/56.17 |
% 104.32/56.17 | Applying alpha-rule on (1394) yields:
% 104.32/56.17 | (816) all_0_27_27 = e1
% 104.32/56.17 | (637) all_0_33_33 = e2
% 104.32/56.17 | (477) ~ (all_0_28_28 = e2)
% 104.32/56.17 |
% 104.32/56.17 | Equations (816) can reduce 226 to:
% 104.32/56.17 | (817) ~ (all_0_17_17 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Equations (816) can reduce 122 to:
% 104.32/56.17 | (1519) ~ (all_0_25_25 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Equations (816) can reduce 475 to:
% 104.32/56.17 | (766) ~ (e2 = e1)
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 766 yields:
% 104.32/56.17 | (310) ~ (e2 = e1)
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (593), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (1698) all_0_25_25 = e3
% 104.32/56.17 |
% 104.32/56.17 | Equations (1698) can reduce 577 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (577) ~ (all_0_25_25 = e3)
% 104.32/56.17 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (1701), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (1536) all_0_25_25 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (1536) can reduce 473 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (473) ~ (all_0_25_25 = e2)
% 104.32/56.17 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (1705), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (1495) all_0_25_25 = e1
% 104.32/56.17 |
% 104.32/56.17 | Equations (1495) can reduce 1519 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1519) ~ (all_0_25_25 = e1)
% 104.32/56.17 | (749) all_0_25_25 = e0
% 104.32/56.17 |
% 104.32/56.17 | Equations (749) can reduce 505 to:
% 104.32/56.17 | (543) ~ (e4 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 543 yields:
% 104.32/56.17 | (267) ~ (e4 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Equations (749) can reduce 473 to:
% 104.32/56.17 | (496) ~ (e2 = e0)
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 496 yields:
% 104.32/56.17 | (336) ~ (e2 = e0)
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (241), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (793) all_0_17_17 = e4
% 104.32/56.17 |
% 104.32/56.17 | Equations (793) can reduce 456 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.17 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (1172), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (855) all_0_17_17 = e3
% 104.32/56.17 |
% 104.32/56.17 | Equations (855) can reduce 9 to:
% 104.32/56.17 | (1719) ~ (all_0_18_18 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 1719 yields:
% 104.32/56.17 | (1189) ~ (all_0_18_18 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Equations (855) can reduce 456 to:
% 104.32/56.17 | (558) ~ (e4 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 558 yields:
% 104.32/56.17 | (255) ~ (e4 = e3)
% 104.32/56.17 |
% 104.32/56.17 | Equations (855) can reduce 396 to:
% 104.32/56.17 | (52) ~ (e3 = e2)
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (51), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (793) all_0_17_17 = e4
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (793,855) yields a new equation:
% 104.32/56.17 | (596) e4 = e3
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 596 yields:
% 104.32/56.17 | (597) e4 = e3
% 104.32/56.17 |
% 104.32/56.17 | Equations (597) can reduce 255 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (456) ~ (all_0_17_17 = e4)
% 104.32/56.17 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (796), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (797) all_0_22_22 = e4
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (442,797) yields a new equation:
% 104.32/56.17 | (798) e4 = e2
% 104.32/56.17 |
% 104.32/56.17 | Equations (798) can reduce 21 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (800) ~ (all_0_22_22 = e4)
% 104.32/56.17 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (342), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (1008) all_0_18_18 = e4
% 104.32/56.17 |
% 104.32/56.17 | Equations (1008) can reduce 458 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (458) ~ (all_0_18_18 = e4)
% 104.32/56.17 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (102), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (1147) all_0_18_18 = e3
% 104.32/56.17 |
% 104.32/56.17 | Equations (1147) can reduce 1189 to:
% 104.32/56.17 | (400) $false
% 104.32/56.17 |
% 104.32/56.17 |-The branch is then unsatisfiable
% 104.32/56.17 |-Branch two:
% 104.32/56.17 | (1189) ~ (all_0_18_18 = e3)
% 104.32/56.17 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 104.32/56.17 |
% 104.32/56.17 +-Applying beta-rule and splitting (179), into two cases.
% 104.32/56.17 |-Branch one:
% 104.32/56.17 | (711) all_0_15_15 = e2
% 104.32/56.17 |
% 104.32/56.17 | Combining equations (711,969) yields a new equation:
% 104.32/56.17 | (620) e2 = e1
% 104.32/56.17 |
% 104.32/56.17 | Simplifying 620 yields:
% 104.32/56.17 | (621) e2 = e1
% 104.73/56.17 |
% 104.73/56.17 | Equations (621) can reduce 310 to:
% 104.73/56.17 | (400) $false
% 104.73/56.17 |
% 104.73/56.17 |-The branch is then unsatisfiable
% 104.73/56.17 |-Branch two:
% 104.73/56.18 | (769) ~ (all_0_15_15 = e2)
% 104.73/56.18 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (801), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (804) all_0_27_27 = e4
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (816,804) yields a new equation:
% 104.73/56.18 | (838) e4 = e1
% 104.73/56.18 |
% 104.73/56.18 | Equations (838) can reduce 56 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (785) ~ (all_0_27_27 = e4)
% 104.73/56.18 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (816) can reduce 785 to:
% 104.73/56.18 | (764) ~ (e4 = e1)
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 764 yields:
% 104.73/56.18 | (56) ~ (e4 = e1)
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (86), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (854) all_0_28_28 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (854) can reduce 477 to:
% 104.73/56.18 | (21) ~ (e4 = e2)
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1529), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1530) all_0_20_20 = e2
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1530,500) yields a new equation:
% 104.73/56.18 | (798) e4 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (798) can reduce 21 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (444) ~ (all_0_20_20 = e2)
% 104.73/56.18 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (121), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (732) all_0_35_35 = e2
% 104.73/56.18 |
% 104.73/56.18 | From (732) and (89) follows:
% 104.73/56.18 | (1764) op(e0, e4) = e2
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1146), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1147) all_0_18_18 = e3
% 104.73/56.18 |
% 104.73/56.18 | Equations (1147) can reduce 1189 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (1189) ~ (all_0_18_18 = e3)
% 104.73/56.18 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1190), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1191) all_0_18_18 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (1191) can reduce 638 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (638) ~ (all_0_18_18 = e2)
% 104.73/56.18 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1194), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (984) all_0_18_18 = e1
% 104.73/56.18 |
% 104.73/56.18 | Equations (984) can reduce 428 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (428) ~ (all_0_18_18 = e1)
% 104.73/56.18 | (756) all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (756,1565) yields a new equation:
% 104.73/56.18 | (1777) all_0_13_13 = e0
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (290), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (679) ~ (all_0_15_15 = e1)
% 104.73/56.18 |
% 104.73/56.18 | Equations (969) can reduce 679 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (969) all_0_15_15 = e1
% 104.73/56.18 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1781), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1782), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 104.73/56.18 |
% 104.73/56.18 | Applying alpha-rule on (1783) yields:
% 104.73/56.18 | (1565) all_0_13_13 = all_0_18_18
% 104.73/56.18 | (1785) ~ (all_0_12_12 = e2)
% 104.73/56.18 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1565,1777) yields a new equation:
% 104.73/56.18 | (1787) all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 1787 yields:
% 104.73/56.18 | (756) all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 | From (756) and (1567) follows:
% 104.73/56.18 | (1789) op(e0, e4) = all_0_12_12
% 104.73/56.18 |
% 104.73/56.18 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 104.73/56.18 | (1790) all_0_12_12 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (1790) can reduce 1785 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 104.73/56.18 |
% 104.73/56.18 | Applying alpha-rule on (1792) yields:
% 104.73/56.18 | (1565) all_0_13_13 = all_0_18_18
% 104.73/56.18 | (1141) ~ (all_0_18_18 = e0)
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1565,1777) yields a new equation:
% 104.73/56.18 | (1787) all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 1787 yields:
% 104.73/56.18 | (756) all_0_18_18 = e0
% 104.73/56.18 |
% 104.73/56.18 | Equations (756) can reduce 1141 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 104.73/56.18 |
% 104.73/56.18 | Applying alpha-rule on (1798) yields:
% 104.73/56.18 | (1799) all_0_14_14 = all_0_30_30
% 104.73/56.18 | (1800) ~ (all_0_30_30 = e3)
% 104.73/56.18 |
% 104.73/56.18 | Equations (575) can reduce 1800 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (719) ~ (all_0_35_35 = e2)
% 104.73/56.18 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1535), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1536) all_0_25_25 = e2
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1536,749) yields a new equation:
% 104.73/56.18 | (524) e2 = e0
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 524 yields:
% 104.73/56.18 | (525) e2 = e0
% 104.73/56.18 |
% 104.73/56.18 | Equations (525) can reduce 336 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (473) ~ (all_0_25_25 = e2)
% 104.73/56.18 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1539), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (613) all_0_30_30 = e2
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (575,613) yields a new equation:
% 104.73/56.18 | (614) e3 = e2
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 614 yields:
% 104.73/56.18 | (615) e3 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (615) can reduce 52 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (617) ~ (all_0_30_30 = e2)
% 104.73/56.18 | (732) all_0_35_35 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (732) can reduce 719 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (883) ~ (all_0_28_28 = e4)
% 104.73/56.18 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (147), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1008) all_0_18_18 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (1008) can reduce 458 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (458) ~ (all_0_18_18 = e4)
% 104.73/56.18 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1012), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1022) all_0_23_23 = e4
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1022,427) yields a new equation:
% 104.73/56.18 | (975) e4 = e1
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 975 yields:
% 104.73/56.18 | (838) e4 = e1
% 104.73/56.18 |
% 104.73/56.18 | Equations (838) can reduce 56 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (1025) ~ (all_0_23_23 = e4)
% 104.73/56.18 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (841), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (609) all_0_32_32 = e4
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (658,609) yields a new equation:
% 104.73/56.18 | (515) e4 = e0
% 104.73/56.18 |
% 104.73/56.18 | Equations (515) can reduce 267 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (604) ~ (all_0_32_32 = e4)
% 104.73/56.18 | (847) all_0_37_37 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (847) can reduce 97 to:
% 104.73/56.18 | (1834) ~ (all_0_38_38 = e4)
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 1834 yields:
% 104.73/56.18 | (1835) ~ (all_0_38_38 = e4)
% 104.73/56.18 |
% 104.73/56.18 | Equations (847) can reduce 450 to:
% 104.73/56.18 | (21) ~ (e4 = e2)
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1026), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (854) all_0_28_28 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (854) can reduce 883 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (883) ~ (all_0_28_28 = e4)
% 104.73/56.18 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 104.73/56.18 |
% 104.73/56.18 +-Applying beta-rule and splitting (1840), into two cases.
% 104.73/56.18 |-Branch one:
% 104.73/56.18 | (1322) all_0_33_33 = e4
% 104.73/56.18 |
% 104.73/56.18 | Combining equations (1322,637) yields a new equation:
% 104.73/56.18 | (1531) e4 = e2
% 104.73/56.18 |
% 104.73/56.18 | Simplifying 1531 yields:
% 104.73/56.18 | (798) e4 = e2
% 104.73/56.18 |
% 104.73/56.18 | Equations (798) can reduce 21 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.18 |-Branch two:
% 104.73/56.18 | (594) ~ (all_0_33_33 = e4)
% 104.73/56.18 | (1846) all_0_38_38 = e4
% 104.73/56.18 |
% 104.73/56.18 | Equations (1846) can reduce 1835 to:
% 104.73/56.18 | (400) $false
% 104.73/56.18 |
% 104.73/56.18 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (919) ~ (all_0_17_17 = e3)
% 104.73/56.19 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1176), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1177) all_0_17_17 = e2
% 104.73/56.19 |
% 104.73/56.19 | Equations (1177) can reduce 396 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (396) ~ (all_0_17_17 = e2)
% 104.73/56.19 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1180), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (980) all_0_17_17 = e1
% 104.73/56.19 |
% 104.73/56.19 | Equations (980) can reduce 817 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (817) ~ (all_0_17_17 = e1)
% 104.73/56.19 | (1184) all_0_17_17 = e0
% 104.73/56.19 |
% 104.73/56.19 | Equations (1184) can reduce 659 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Applying alpha-rule on (1421) yields:
% 104.73/56.19 | (816) all_0_27_27 = e1
% 104.73/56.19 | (637) all_0_33_33 = e2
% 104.73/56.19 | (419) ~ (all_0_32_32 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Equations (816) can reduce 226 to:
% 104.73/56.19 | (817) ~ (all_0_17_17 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Equations (816) can reduce 122 to:
% 104.73/56.19 | (1519) ~ (all_0_25_25 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Equations (816) can reduce 475 to:
% 104.73/56.19 | (766) ~ (e2 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 766 yields:
% 104.73/56.19 | (310) ~ (e2 = e1)
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (593), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1698) all_0_25_25 = e3
% 104.73/56.19 |
% 104.73/56.19 | Equations (1698) can reduce 577 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (577) ~ (all_0_25_25 = e3)
% 104.73/56.19 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1701), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1536) all_0_25_25 = e2
% 104.73/56.19 |
% 104.73/56.19 | Equations (1536) can reduce 473 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (473) ~ (all_0_25_25 = e2)
% 104.73/56.19 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1705), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1495) all_0_25_25 = e1
% 104.73/56.19 |
% 104.73/56.19 | Equations (1495) can reduce 1519 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (1519) ~ (all_0_25_25 = e1)
% 104.73/56.19 | (749) all_0_25_25 = e0
% 104.73/56.19 |
% 104.73/56.19 | Equations (749) can reduce 505 to:
% 104.73/56.19 | (543) ~ (e4 = e0)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 543 yields:
% 104.73/56.19 | (267) ~ (e4 = e0)
% 104.73/56.19 |
% 104.73/56.19 | Equations (749) can reduce 473 to:
% 104.73/56.19 | (496) ~ (e2 = e0)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 496 yields:
% 104.73/56.19 | (336) ~ (e2 = e0)
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (241), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (793) all_0_17_17 = e4
% 104.73/56.19 |
% 104.73/56.19 | Equations (793) can reduce 456 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (456) ~ (all_0_17_17 = e4)
% 104.73/56.19 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1172), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (855) all_0_17_17 = e3
% 104.73/56.19 |
% 104.73/56.19 | Equations (855) can reduce 9 to:
% 104.73/56.19 | (1719) ~ (all_0_18_18 = e3)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 1719 yields:
% 104.73/56.19 | (1189) ~ (all_0_18_18 = e3)
% 104.73/56.19 |
% 104.73/56.19 | Equations (855) can reduce 456 to:
% 104.73/56.19 | (558) ~ (e4 = e3)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 558 yields:
% 104.73/56.19 | (255) ~ (e4 = e3)
% 104.73/56.19 |
% 104.73/56.19 | Equations (855) can reduce 396 to:
% 104.73/56.19 | (52) ~ (e3 = e2)
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (51), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (793) all_0_17_17 = e4
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (793,855) yields a new equation:
% 104.73/56.19 | (596) e4 = e3
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 596 yields:
% 104.73/56.19 | (597) e4 = e3
% 104.73/56.19 |
% 104.73/56.19 | Equations (597) can reduce 255 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (456) ~ (all_0_17_17 = e4)
% 104.73/56.19 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (796), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (797) all_0_22_22 = e4
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (442,797) yields a new equation:
% 104.73/56.19 | (798) e4 = e2
% 104.73/56.19 |
% 104.73/56.19 | Equations (798) can reduce 21 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (800) ~ (all_0_22_22 = e4)
% 104.73/56.19 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (342), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1008) all_0_18_18 = e4
% 104.73/56.19 |
% 104.73/56.19 | Equations (1008) can reduce 458 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (458) ~ (all_0_18_18 = e4)
% 104.73/56.19 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (102), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1147) all_0_18_18 = e3
% 104.73/56.19 |
% 104.73/56.19 | Equations (1147) can reduce 1189 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (1189) ~ (all_0_18_18 = e3)
% 104.73/56.19 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (179), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (711) all_0_15_15 = e2
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (711,969) yields a new equation:
% 104.73/56.19 | (620) e2 = e1
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 620 yields:
% 104.73/56.19 | (621) e2 = e1
% 104.73/56.19 |
% 104.73/56.19 | Equations (621) can reduce 310 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (769) ~ (all_0_15_15 = e2)
% 104.73/56.19 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (801), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (804) all_0_27_27 = e4
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (816,804) yields a new equation:
% 104.73/56.19 | (838) e4 = e1
% 104.73/56.19 |
% 104.73/56.19 | Equations (838) can reduce 56 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (785) ~ (all_0_27_27 = e4)
% 104.73/56.19 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.73/56.19 |
% 104.73/56.19 | Equations (816) can reduce 785 to:
% 104.73/56.19 | (764) ~ (e4 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Simplifying 764 yields:
% 104.73/56.19 | (56) ~ (e4 = e1)
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (86), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (854) all_0_28_28 = e4
% 104.73/56.19 |
% 104.73/56.19 | Equations (854) can reduce 477 to:
% 104.73/56.19 | (21) ~ (e4 = e2)
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1529), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1530) all_0_20_20 = e2
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (1530,500) yields a new equation:
% 104.73/56.19 | (798) e4 = e2
% 104.73/56.19 |
% 104.73/56.19 | Equations (798) can reduce 21 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (444) ~ (all_0_20_20 = e2)
% 104.73/56.19 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (121), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (732) all_0_35_35 = e2
% 104.73/56.19 |
% 104.73/56.19 | From (732) and (89) follows:
% 104.73/56.19 | (1764) op(e0, e4) = e2
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1146), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1147) all_0_18_18 = e3
% 104.73/56.19 |
% 104.73/56.19 | Equations (1147) can reduce 1189 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (1189) ~ (all_0_18_18 = e3)
% 104.73/56.19 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1190), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1191) all_0_18_18 = e2
% 104.73/56.19 |
% 104.73/56.19 | Equations (1191) can reduce 638 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (638) ~ (all_0_18_18 = e2)
% 104.73/56.19 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1194), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (984) all_0_18_18 = e1
% 104.73/56.19 |
% 104.73/56.19 | Equations (984) can reduce 428 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (428) ~ (all_0_18_18 = e1)
% 104.73/56.19 | (756) all_0_18_18 = e0
% 104.73/56.19 |
% 104.73/56.19 | Combining equations (756,1565) yields a new equation:
% 104.73/56.19 | (1777) all_0_13_13 = e0
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (290), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (679) ~ (all_0_15_15 = e1)
% 104.73/56.19 |
% 104.73/56.19 | Equations (969) can reduce 679 to:
% 104.73/56.19 | (400) $false
% 104.73/56.19 |
% 104.73/56.19 |-The branch is then unsatisfiable
% 104.73/56.19 |-Branch two:
% 104.73/56.19 | (969) all_0_15_15 = e1
% 104.73/56.19 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 104.73/56.19 |
% 104.73/56.19 +-Applying beta-rule and splitting (1781), into two cases.
% 104.73/56.19 |-Branch one:
% 104.73/56.19 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 104.80/56.19 |
% 104.80/56.19 +-Applying beta-rule and splitting (1782), into two cases.
% 104.80/56.19 |-Branch one:
% 104.80/56.19 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 104.80/56.19 |
% 104.80/56.19 | Applying alpha-rule on (1783) yields:
% 104.80/56.19 | (1565) all_0_13_13 = all_0_18_18
% 104.80/56.19 | (1785) ~ (all_0_12_12 = e2)
% 104.80/56.19 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 104.80/56.19 |
% 104.80/56.19 | Combining equations (1565,1777) yields a new equation:
% 104.80/56.19 | (1787) all_0_18_18 = e0
% 104.80/56.19 |
% 104.80/56.19 | Simplifying 1787 yields:
% 104.80/56.19 | (756) all_0_18_18 = e0
% 104.80/56.19 |
% 104.80/56.19 | From (756) and (1567) follows:
% 104.80/56.19 | (1789) op(e0, e4) = all_0_12_12
% 104.80/56.19 |
% 104.80/56.19 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 104.80/56.19 | (1790) all_0_12_12 = e2
% 104.80/56.19 |
% 104.80/56.19 | Equations (1790) can reduce 1785 to:
% 104.80/56.19 | (400) $false
% 104.80/56.19 |
% 104.80/56.19 |-The branch is then unsatisfiable
% 104.80/56.19 |-Branch two:
% 104.80/56.19 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 104.80/56.19 |
% 104.80/56.19 | Applying alpha-rule on (1792) yields:
% 104.80/56.19 | (1565) all_0_13_13 = all_0_18_18
% 104.80/56.19 | (1141) ~ (all_0_18_18 = e0)
% 104.80/56.19 |
% 104.80/56.19 | Combining equations (1565,1777) yields a new equation:
% 104.80/56.19 | (1787) all_0_18_18 = e0
% 104.80/56.19 |
% 104.80/56.19 | Simplifying 1787 yields:
% 104.80/56.19 | (756) all_0_18_18 = e0
% 104.80/56.19 |
% 104.80/56.19 | Equations (756) can reduce 1141 to:
% 104.80/56.19 | (400) $false
% 104.80/56.19 |
% 104.80/56.19 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (1798) yields:
% 104.80/56.20 | (1799) all_0_14_14 = all_0_30_30
% 104.80/56.20 | (1800) ~ (all_0_30_30 = e3)
% 104.80/56.20 |
% 104.80/56.20 | Equations (575) can reduce 1800 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (719) ~ (all_0_35_35 = e2)
% 104.80/56.20 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1535), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1536) all_0_25_25 = e2
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (1536,749) yields a new equation:
% 104.80/56.20 | (524) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 524 yields:
% 104.80/56.20 | (525) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Equations (525) can reduce 336 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (473) ~ (all_0_25_25 = e2)
% 104.80/56.20 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1539), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (613) all_0_30_30 = e2
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (575,613) yields a new equation:
% 104.80/56.20 | (614) e3 = e2
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 614 yields:
% 104.80/56.20 | (615) e3 = e2
% 104.80/56.20 |
% 104.80/56.20 | Equations (615) can reduce 52 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (617) ~ (all_0_30_30 = e2)
% 104.80/56.20 | (732) all_0_35_35 = e2
% 104.80/56.20 |
% 104.80/56.20 | Equations (732) can reduce 719 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (883) ~ (all_0_28_28 = e4)
% 104.80/56.20 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (147), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1008) all_0_18_18 = e4
% 104.80/56.20 |
% 104.80/56.20 | Equations (1008) can reduce 458 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (458) ~ (all_0_18_18 = e4)
% 104.80/56.20 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1012), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1022) all_0_23_23 = e4
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (1022,427) yields a new equation:
% 104.80/56.20 | (975) e4 = e1
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 975 yields:
% 104.80/56.20 | (838) e4 = e1
% 104.80/56.20 |
% 104.80/56.20 | Equations (838) can reduce 56 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1025) ~ (all_0_23_23 = e4)
% 104.80/56.20 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (841), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (609) all_0_32_32 = e4
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (658,609) yields a new equation:
% 104.80/56.20 | (515) e4 = e0
% 104.80/56.20 |
% 104.80/56.20 | Equations (515) can reduce 267 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (604) ~ (all_0_32_32 = e4)
% 104.80/56.20 | (847) all_0_37_37 = e4
% 104.80/56.20 |
% 104.80/56.20 | Equations (847) can reduce 97 to:
% 104.80/56.20 | (1834) ~ (all_0_38_38 = e4)
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 1834 yields:
% 104.80/56.20 | (1835) ~ (all_0_38_38 = e4)
% 104.80/56.20 |
% 104.80/56.20 | Equations (847) can reduce 450 to:
% 104.80/56.20 | (21) ~ (e4 = e2)
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1026), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (854) all_0_28_28 = e4
% 104.80/56.20 |
% 104.80/56.20 | Equations (854) can reduce 883 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (883) ~ (all_0_28_28 = e4)
% 104.80/56.20 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1840), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1322) all_0_33_33 = e4
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (1322,637) yields a new equation:
% 104.80/56.20 | (1531) e4 = e2
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 1531 yields:
% 104.80/56.20 | (798) e4 = e2
% 104.80/56.20 |
% 104.80/56.20 | Equations (798) can reduce 21 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (594) ~ (all_0_33_33 = e4)
% 104.80/56.20 | (1846) all_0_38_38 = e4
% 104.80/56.20 |
% 104.80/56.20 | Equations (1846) can reduce 1835 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (919) ~ (all_0_17_17 = e3)
% 104.80/56.20 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1176), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1177) all_0_17_17 = e2
% 104.80/56.20 |
% 104.80/56.20 | Equations (1177) can reduce 396 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (396) ~ (all_0_17_17 = e2)
% 104.80/56.20 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1180), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (980) all_0_17_17 = e1
% 104.80/56.20 |
% 104.80/56.20 | Equations (980) can reduce 817 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (817) ~ (all_0_17_17 = e1)
% 104.80/56.20 | (1184) all_0_17_17 = e0
% 104.80/56.20 |
% 104.80/56.20 | Equations (1184) can reduce 659 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (1448) yields:
% 104.80/56.20 | (995) all_0_27_27 = e0
% 104.80/56.20 | (705) all_0_39_39 = e2
% 104.80/56.20 | (479) ~ (all_0_29_29 = e2)
% 104.80/56.20 |
% 104.80/56.20 | Equations (995) can reduce 660 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (1455) yields:
% 104.80/56.20 | (995) all_0_27_27 = e0
% 104.80/56.20 | (705) all_0_39_39 = e2
% 104.80/56.20 | (538) ~ (all_0_37_37 = e0)
% 104.80/56.20 |
% 104.80/56.20 | Equations (995) can reduce 660 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (1462) yields:
% 104.80/56.20 | (1463) all_0_33_33 = e0
% 104.80/56.20 | (1252) all_0_39_39 = e1
% 104.80/56.20 | (421) ~ (all_0_34_34 = e1)
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (637,1463) yields a new equation:
% 104.80/56.20 | (524) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 524 yields:
% 104.80/56.20 | (525) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Equations (525) can reduce 336 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (1469) yields:
% 104.80/56.20 | (1463) all_0_33_33 = e0
% 104.80/56.20 | (1252) all_0_39_39 = e1
% 104.80/56.20 | (540) ~ (all_0_38_38 = e0)
% 104.80/56.20 |
% 104.80/56.20 | Combining equations (637,1463) yields a new equation:
% 104.80/56.20 | (524) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Simplifying 524 yields:
% 104.80/56.20 | (525) e2 = e0
% 104.80/56.20 |
% 104.80/56.20 | Equations (525) can reduce 336 to:
% 104.80/56.20 | (400) $false
% 104.80/56.20 |
% 104.80/56.20 |-The branch is then unsatisfiable
% 104.80/56.20 |-Branch two:
% 104.80/56.20 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 104.80/56.20 |
% 104.80/56.20 | Applying alpha-rule on (2052) yields:
% 104.80/56.20 | (1565) all_0_13_13 = all_0_18_18
% 104.80/56.20 | (638) ~ (all_0_18_18 = e2)
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (251), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 104.80/56.20 |
% 104.80/56.20 +-Applying beta-rule and splitting (1278), into two cases.
% 104.80/56.20 |-Branch one:
% 104.80/56.20 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1279), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1280), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1281), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1282), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1283), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1284), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1285), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1286), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1287), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1288), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1289), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1290), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1291), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1292), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1293), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1294), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 104.80/56.21 |
% 104.80/56.21 +-Applying beta-rule and splitting (1295), into two cases.
% 104.80/56.21 |-Branch one:
% 104.80/56.21 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 104.80/56.21 |
% 104.80/56.21 | Applying alpha-rule on (1296) yields:
% 104.80/56.21 | (1297) all_0_15_15 = e3
% 104.80/56.21 | (550) all_0_21_21 = e4
% 104.80/56.21 | (1299) ~ (all_0_16_16 = e4)
% 104.80/56.21 |
% 104.80/56.21 | Combining equations (1297,969) yields a new equation:
% 104.80/56.21 | (1113) e3 = e1
% 104.80/56.21 |
% 104.80/56.21 | Simplifying 1113 yields:
% 104.80/56.21 | (928) e3 = e1
% 104.80/56.21 |
% 104.80/56.21 | Equations (928) can reduce 298 to:
% 104.80/56.21 | (400) $false
% 104.80/56.21 |
% 104.80/56.21 |-The branch is then unsatisfiable
% 104.80/56.21 |-Branch two:
% 104.80/56.21 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 104.80/56.21 |
% 104.80/56.21 | Applying alpha-rule on (1303) yields:
% 104.80/56.21 | (1297) all_0_15_15 = e3
% 104.80/56.21 | (550) all_0_21_21 = e4
% 104.80/56.21 | (1306) ~ (all_0_20_20 = e3)
% 104.80/56.21 |
% 104.80/56.21 | Combining equations (1297,969) yields a new equation:
% 104.80/56.21 | (1113) e3 = e1
% 104.80/56.21 |
% 104.80/56.21 | Simplifying 1113 yields:
% 104.80/56.21 | (928) e3 = e1
% 104.80/56.21 |
% 104.80/56.21 | Equations (928) can reduce 298 to:
% 104.80/56.21 | (400) $false
% 104.80/56.21 |
% 104.80/56.21 |-The branch is then unsatisfiable
% 104.80/56.21 |-Branch two:
% 104.80/56.21 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 104.80/56.21 |
% 104.80/56.21 | Applying alpha-rule on (1310) yields:
% 104.80/56.21 | (711) all_0_15_15 = e2
% 104.89/56.21 | (804) all_0_27_27 = e4
% 104.89/56.21 | (456) ~ (all_0_17_17 = e4)
% 104.89/56.21 |
% 104.89/56.21 | Combining equations (711,969) yields a new equation:
% 104.89/56.21 | (620) e2 = e1
% 104.89/56.21 |
% 104.89/56.21 | Simplifying 620 yields:
% 104.89/56.21 | (621) e2 = e1
% 104.89/56.21 |
% 104.89/56.22 | Equations (621) can reduce 310 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1315) yields:
% 104.89/56.22 | (711) all_0_15_15 = e2
% 104.89/56.22 | (804) all_0_27_27 = e4
% 104.89/56.22 | (473) ~ (all_0_25_25 = e2)
% 104.89/56.22 |
% 104.89/56.22 | Combining equations (711,969) yields a new equation:
% 104.89/56.22 | (620) e2 = e1
% 104.89/56.22 |
% 104.89/56.22 | Simplifying 620 yields:
% 104.89/56.22 | (621) e2 = e1
% 104.89/56.22 |
% 104.89/56.22 | Equations (621) can reduce 310 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1320) yields:
% 104.89/56.22 | (969) all_0_15_15 = e1
% 104.89/56.22 | (1322) all_0_33_33 = e4
% 104.89/56.22 | (458) ~ (all_0_18_18 = e4)
% 104.89/56.22 |
% 104.89/56.22 | Combining equations (1322,637) yields a new equation:
% 104.89/56.22 | (1531) e4 = e2
% 104.89/56.22 |
% 104.89/56.22 | Simplifying 1531 yields:
% 104.89/56.22 | (798) e4 = e2
% 104.89/56.22 |
% 104.89/56.22 | Equations (798) can reduce 21 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1326) yields:
% 104.89/56.22 | (969) all_0_15_15 = e1
% 104.89/56.22 | (1322) all_0_33_33 = e4
% 104.89/56.22 | (417) ~ (all_0_30_30 = e1)
% 104.89/56.22 |
% 104.89/56.22 | Combining equations (1322,637) yields a new equation:
% 104.89/56.22 | (1531) e4 = e2
% 104.89/56.22 |
% 104.89/56.22 | Simplifying 1531 yields:
% 104.89/56.22 | (798) e4 = e2
% 104.89/56.22 |
% 104.89/56.22 | Equations (798) can reduce 21 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1332) yields:
% 104.89/56.22 | (736) all_0_15_15 = e0
% 104.89/56.22 | (697) all_0_39_39 = e4
% 104.89/56.22 | (460) ~ (all_0_19_19 = e4)
% 104.89/56.22 |
% 104.89/56.22 | Combining equations (736,969) yields a new equation:
% 104.89/56.22 | (531) e1 = e0
% 104.89/56.22 |
% 104.89/56.22 | Equations (531) can reduce 40 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1339) yields:
% 104.89/56.22 | (736) all_0_15_15 = e0
% 104.89/56.22 | (697) all_0_39_39 = e4
% 104.89/56.22 | (536) ~ (all_0_35_35 = e0)
% 104.89/56.22 |
% 104.89/56.22 | Combining equations (736,969) yields a new equation:
% 104.89/56.22 | (531) e1 = e0
% 104.89/56.22 |
% 104.89/56.22 | Equations (531) can reduce 40 to:
% 104.89/56.22 | (400) $false
% 104.89/56.22 |
% 104.89/56.22 |-The branch is then unsatisfiable
% 104.89/56.22 |-Branch two:
% 104.89/56.22 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 104.89/56.22 |
% 104.89/56.22 | Applying alpha-rule on (1346) yields:
% 104.89/56.22 | (1347) all_0_21_21 = e2
% 104.91/56.22 | (808) all_0_27_27 = e3
% 104.91/56.22 | (925) ~ (all_0_22_22 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,1347) yields a new equation:
% 104.91/56.22 | (614) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 614 yields:
% 104.91/56.22 | (615) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Equations (615) can reduce 52 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1352) yields:
% 104.91/56.22 | (1347) all_0_21_21 = e2
% 104.91/56.22 | (808) all_0_27_27 = e3
% 104.91/56.22 | (1355) ~ (all_0_26_26 = e2)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,1347) yields a new equation:
% 104.91/56.22 | (614) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 614 yields:
% 104.91/56.22 | (615) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Equations (615) can reduce 52 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1358) yields:
% 104.91/56.22 | (1359) all_0_21_21 = e1
% 104.91/56.22 | (1360) all_0_33_33 = e3
% 104.91/56.22 | (1361) ~ (all_0_23_23 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,1359) yields a new equation:
% 104.91/56.22 | (1113) e3 = e1
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 1113 yields:
% 104.91/56.22 | (928) e3 = e1
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (1360,637) yields a new equation:
% 104.91/56.22 | (614) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 614 yields:
% 104.91/56.22 | (615) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (615,928) yields a new equation:
% 104.91/56.22 | (620) e2 = e1
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 620 yields:
% 104.91/56.22 | (621) e2 = e1
% 104.91/56.22 |
% 104.91/56.22 | Equations (621) can reduce 310 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1367) yields:
% 104.91/56.22 | (1359) all_0_21_21 = e1
% 104.91/56.22 | (1360) all_0_33_33 = e3
% 104.91/56.22 | (1370) ~ (all_0_31_31 = e1)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,1359) yields a new equation:
% 104.91/56.22 | (1113) e3 = e1
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 1113 yields:
% 104.91/56.22 | (928) e3 = e1
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (1360,637) yields a new equation:
% 104.91/56.22 | (614) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 614 yields:
% 104.91/56.22 | (615) e3 = e2
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (615,928) yields a new equation:
% 104.91/56.22 | (620) e2 = e1
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 620 yields:
% 104.91/56.22 | (621) e2 = e1
% 104.91/56.22 |
% 104.91/56.22 | Equations (621) can reduce 310 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1376) yields:
% 104.91/56.22 | (519) all_0_21_21 = e0
% 104.91/56.22 | (701) all_0_39_39 = e3
% 104.91/56.22 | (1379) ~ (all_0_24_24 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,519) yields a new equation:
% 104.91/56.22 | (647) e3 = e0
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 647 yields:
% 104.91/56.22 | (648) e3 = e0
% 104.91/56.22 |
% 104.91/56.22 | Equations (648) can reduce 80 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1385) yields:
% 104.91/56.22 | (519) all_0_21_21 = e0
% 104.91/56.22 | (701) all_0_39_39 = e3
% 104.91/56.22 | (1388) ~ (all_0_36_36 = e0)
% 104.91/56.22 |
% 104.91/56.22 | Combining equations (557,519) yields a new equation:
% 104.91/56.22 | (647) e3 = e0
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 647 yields:
% 104.91/56.22 | (648) e3 = e0
% 104.91/56.22 |
% 104.91/56.22 | Equations (648) can reduce 80 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 104.91/56.22 |
% 104.91/56.22 | Applying alpha-rule on (1394) yields:
% 104.91/56.22 | (816) all_0_27_27 = e1
% 104.91/56.22 | (637) all_0_33_33 = e2
% 104.91/56.22 | (477) ~ (all_0_28_28 = e2)
% 104.91/56.22 |
% 104.91/56.22 | Equations (816) can reduce 226 to:
% 104.91/56.22 | (817) ~ (all_0_17_17 = e1)
% 104.91/56.22 |
% 104.91/56.22 | Equations (816) can reduce 122 to:
% 104.91/56.22 | (1519) ~ (all_0_25_25 = e1)
% 104.91/56.22 |
% 104.91/56.22 | Equations (816) can reduce 475 to:
% 104.91/56.22 | (766) ~ (e2 = e1)
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 766 yields:
% 104.91/56.22 | (310) ~ (e2 = e1)
% 104.91/56.22 |
% 104.91/56.22 +-Applying beta-rule and splitting (593), into two cases.
% 104.91/56.22 |-Branch one:
% 104.91/56.22 | (1698) all_0_25_25 = e3
% 104.91/56.22 |
% 104.91/56.22 | Equations (1698) can reduce 577 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (577) ~ (all_0_25_25 = e3)
% 104.91/56.22 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.22 |
% 104.91/56.22 +-Applying beta-rule and splitting (1701), into two cases.
% 104.91/56.22 |-Branch one:
% 104.91/56.22 | (1536) all_0_25_25 = e2
% 104.91/56.22 |
% 104.91/56.22 | Equations (1536) can reduce 473 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.22 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.22 |
% 104.91/56.22 +-Applying beta-rule and splitting (1705), into two cases.
% 104.91/56.22 |-Branch one:
% 104.91/56.22 | (1495) all_0_25_25 = e1
% 104.91/56.22 |
% 104.91/56.22 | Equations (1495) can reduce 1519 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (1519) ~ (all_0_25_25 = e1)
% 104.91/56.22 | (749) all_0_25_25 = e0
% 104.91/56.22 |
% 104.91/56.22 | Equations (749) can reduce 505 to:
% 104.91/56.22 | (543) ~ (e4 = e0)
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 543 yields:
% 104.91/56.22 | (267) ~ (e4 = e0)
% 104.91/56.22 |
% 104.91/56.22 | Equations (749) can reduce 473 to:
% 104.91/56.22 | (496) ~ (e2 = e0)
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 496 yields:
% 104.91/56.22 | (336) ~ (e2 = e0)
% 104.91/56.22 |
% 104.91/56.22 +-Applying beta-rule and splitting (241), into two cases.
% 104.91/56.22 |-Branch one:
% 104.91/56.22 | (793) all_0_17_17 = e4
% 104.91/56.22 |
% 104.91/56.22 | Equations (793) can reduce 456 to:
% 104.91/56.22 | (400) $false
% 104.91/56.22 |
% 104.91/56.22 |-The branch is then unsatisfiable
% 104.91/56.22 |-Branch two:
% 104.91/56.22 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.22 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.22 |
% 104.91/56.22 +-Applying beta-rule and splitting (1172), into two cases.
% 104.91/56.22 |-Branch one:
% 104.91/56.22 | (855) all_0_17_17 = e3
% 104.91/56.22 |
% 104.91/56.22 | Equations (855) can reduce 9 to:
% 104.91/56.22 | (1719) ~ (all_0_18_18 = e3)
% 104.91/56.22 |
% 104.91/56.22 | Simplifying 1719 yields:
% 104.91/56.22 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.22 |
% 104.91/56.23 | Equations (855) can reduce 456 to:
% 104.91/56.23 | (558) ~ (e4 = e3)
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 558 yields:
% 104.91/56.23 | (255) ~ (e4 = e3)
% 104.91/56.23 |
% 104.91/56.23 | Equations (855) can reduce 396 to:
% 104.91/56.23 | (52) ~ (e3 = e2)
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (51), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (793) all_0_17_17 = e4
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (793,855) yields a new equation:
% 104.91/56.23 | (596) e4 = e3
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 596 yields:
% 104.91/56.23 | (597) e4 = e3
% 104.91/56.23 |
% 104.91/56.23 | Equations (597) can reduce 255 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.23 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (796), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (797) all_0_22_22 = e4
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (442,797) yields a new equation:
% 104.91/56.23 | (798) e4 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (798) can reduce 21 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (800) ~ (all_0_22_22 = e4)
% 104.91/56.23 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (342), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1008) all_0_18_18 = e4
% 104.91/56.23 |
% 104.91/56.23 | Equations (1008) can reduce 458 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (458) ~ (all_0_18_18 = e4)
% 104.91/56.23 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (102), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1147) all_0_18_18 = e3
% 104.91/56.23 |
% 104.91/56.23 | Equations (1147) can reduce 1189 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.23 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (179), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (711) all_0_15_15 = e2
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (711,969) yields a new equation:
% 104.91/56.23 | (620) e2 = e1
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 620 yields:
% 104.91/56.23 | (621) e2 = e1
% 104.91/56.23 |
% 104.91/56.23 | Equations (621) can reduce 310 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (769) ~ (all_0_15_15 = e2)
% 104.91/56.23 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (801), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (804) all_0_27_27 = e4
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (816,804) yields a new equation:
% 104.91/56.23 | (838) e4 = e1
% 104.91/56.23 |
% 104.91/56.23 | Equations (838) can reduce 56 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (785) ~ (all_0_27_27 = e4)
% 104.91/56.23 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.23 |
% 104.91/56.23 | Equations (816) can reduce 785 to:
% 104.91/56.23 | (764) ~ (e4 = e1)
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 764 yields:
% 104.91/56.23 | (56) ~ (e4 = e1)
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (86), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (854) all_0_28_28 = e4
% 104.91/56.23 |
% 104.91/56.23 | Equations (854) can reduce 477 to:
% 104.91/56.23 | (21) ~ (e4 = e2)
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1529), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1530) all_0_20_20 = e2
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (1530,500) yields a new equation:
% 104.91/56.23 | (798) e4 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (798) can reduce 21 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (444) ~ (all_0_20_20 = e2)
% 104.91/56.23 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (121), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (732) all_0_35_35 = e2
% 104.91/56.23 |
% 104.91/56.23 | From (732) and (89) follows:
% 104.91/56.23 | (1764) op(e0, e4) = e2
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1146), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1147) all_0_18_18 = e3
% 104.91/56.23 |
% 104.91/56.23 | Equations (1147) can reduce 1189 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.23 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1190), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1191) all_0_18_18 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (1191) can reduce 638 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (638) ~ (all_0_18_18 = e2)
% 104.91/56.23 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (290), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (679) ~ (all_0_15_15 = e1)
% 104.91/56.23 |
% 104.91/56.23 | Equations (969) can reduce 679 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (969) all_0_15_15 = e1
% 104.91/56.23 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1194), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (984) all_0_18_18 = e1
% 104.91/56.23 |
% 104.91/56.23 | Equations (984) can reduce 428 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (428) ~ (all_0_18_18 = e1)
% 104.91/56.23 | (756) all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (756,1565) yields a new equation:
% 104.91/56.23 | (1777) all_0_13_13 = e0
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1781), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1782), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 104.91/56.23 |
% 104.91/56.23 | Applying alpha-rule on (1783) yields:
% 104.91/56.23 | (1565) all_0_13_13 = all_0_18_18
% 104.91/56.23 | (1785) ~ (all_0_12_12 = e2)
% 104.91/56.23 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (1565,1777) yields a new equation:
% 104.91/56.23 | (1787) all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 1787 yields:
% 104.91/56.23 | (756) all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 | From (756) and (1567) follows:
% 104.91/56.23 | (1789) op(e0, e4) = all_0_12_12
% 104.91/56.23 |
% 104.91/56.23 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 104.91/56.23 | (1790) all_0_12_12 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (1790) can reduce 1785 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 104.91/56.23 |
% 104.91/56.23 | Applying alpha-rule on (1792) yields:
% 104.91/56.23 | (1565) all_0_13_13 = all_0_18_18
% 104.91/56.23 | (1141) ~ (all_0_18_18 = e0)
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (1565,1777) yields a new equation:
% 104.91/56.23 | (1787) all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 1787 yields:
% 104.91/56.23 | (756) all_0_18_18 = e0
% 104.91/56.23 |
% 104.91/56.23 | Equations (756) can reduce 1141 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 104.91/56.23 |
% 104.91/56.23 | Applying alpha-rule on (1798) yields:
% 104.91/56.23 | (1799) all_0_14_14 = all_0_30_30
% 104.91/56.23 | (1800) ~ (all_0_30_30 = e3)
% 104.91/56.23 |
% 104.91/56.23 | Equations (575) can reduce 1800 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (719) ~ (all_0_35_35 = e2)
% 104.91/56.23 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1535), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1536) all_0_25_25 = e2
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (1536,749) yields a new equation:
% 104.91/56.23 | (524) e2 = e0
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 524 yields:
% 104.91/56.23 | (525) e2 = e0
% 104.91/56.23 |
% 104.91/56.23 | Equations (525) can reduce 336 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.23 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1539), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (613) all_0_30_30 = e2
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (575,613) yields a new equation:
% 104.91/56.23 | (614) e3 = e2
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 614 yields:
% 104.91/56.23 | (615) e3 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (615) can reduce 52 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (617) ~ (all_0_30_30 = e2)
% 104.91/56.23 | (732) all_0_35_35 = e2
% 104.91/56.23 |
% 104.91/56.23 | Equations (732) can reduce 719 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (883) ~ (all_0_28_28 = e4)
% 104.91/56.23 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (147), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1008) all_0_18_18 = e4
% 104.91/56.23 |
% 104.91/56.23 | Equations (1008) can reduce 458 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (458) ~ (all_0_18_18 = e4)
% 104.91/56.23 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.23 |
% 104.91/56.23 +-Applying beta-rule and splitting (1012), into two cases.
% 104.91/56.23 |-Branch one:
% 104.91/56.23 | (1022) all_0_23_23 = e4
% 104.91/56.23 |
% 104.91/56.23 | Combining equations (1022,427) yields a new equation:
% 104.91/56.23 | (975) e4 = e1
% 104.91/56.23 |
% 104.91/56.23 | Simplifying 975 yields:
% 104.91/56.23 | (838) e4 = e1
% 104.91/56.23 |
% 104.91/56.23 | Equations (838) can reduce 56 to:
% 104.91/56.23 | (400) $false
% 104.91/56.23 |
% 104.91/56.23 |-The branch is then unsatisfiable
% 104.91/56.23 |-Branch two:
% 104.91/56.23 | (1025) ~ (all_0_23_23 = e4)
% 104.91/56.23 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (841), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (609) all_0_32_32 = e4
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (658,609) yields a new equation:
% 104.91/56.24 | (515) e4 = e0
% 104.91/56.24 |
% 104.91/56.24 | Equations (515) can reduce 267 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (604) ~ (all_0_32_32 = e4)
% 104.91/56.24 | (847) all_0_37_37 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (847) can reduce 97 to:
% 104.91/56.24 | (1834) ~ (all_0_38_38 = e4)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 1834 yields:
% 104.91/56.24 | (1835) ~ (all_0_38_38 = e4)
% 104.91/56.24 |
% 104.91/56.24 | Equations (847) can reduce 450 to:
% 104.91/56.24 | (21) ~ (e4 = e2)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1026), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (854) all_0_28_28 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (854) can reduce 883 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (883) ~ (all_0_28_28 = e4)
% 104.91/56.24 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1840), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1322) all_0_33_33 = e4
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (1322,637) yields a new equation:
% 104.91/56.24 | (1531) e4 = e2
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 1531 yields:
% 104.91/56.24 | (798) e4 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (798) can reduce 21 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (594) ~ (all_0_33_33 = e4)
% 104.91/56.24 | (1846) all_0_38_38 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (1846) can reduce 1835 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (919) ~ (all_0_17_17 = e3)
% 104.91/56.24 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1176), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1177) all_0_17_17 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (1177) can reduce 396 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (396) ~ (all_0_17_17 = e2)
% 104.91/56.24 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1180), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (980) all_0_17_17 = e1
% 104.91/56.24 |
% 104.91/56.24 | Equations (980) can reduce 817 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (817) ~ (all_0_17_17 = e1)
% 104.91/56.24 | (1184) all_0_17_17 = e0
% 104.91/56.24 |
% 104.91/56.24 | Equations (1184) can reduce 659 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Applying alpha-rule on (1421) yields:
% 104.91/56.24 | (816) all_0_27_27 = e1
% 104.91/56.24 | (637) all_0_33_33 = e2
% 104.91/56.24 | (419) ~ (all_0_32_32 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Equations (816) can reduce 226 to:
% 104.91/56.24 | (817) ~ (all_0_17_17 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Equations (816) can reduce 122 to:
% 104.91/56.24 | (1519) ~ (all_0_25_25 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Equations (816) can reduce 475 to:
% 104.91/56.24 | (766) ~ (e2 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 766 yields:
% 104.91/56.24 | (310) ~ (e2 = e1)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (593), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1698) all_0_25_25 = e3
% 104.91/56.24 |
% 104.91/56.24 | Equations (1698) can reduce 577 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (577) ~ (all_0_25_25 = e3)
% 104.91/56.24 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1701), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1536) all_0_25_25 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (1536) can reduce 473 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.24 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1705), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1495) all_0_25_25 = e1
% 104.91/56.24 |
% 104.91/56.24 | Equations (1495) can reduce 1519 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (1519) ~ (all_0_25_25 = e1)
% 104.91/56.24 | (749) all_0_25_25 = e0
% 104.91/56.24 |
% 104.91/56.24 | Equations (749) can reduce 505 to:
% 104.91/56.24 | (543) ~ (e4 = e0)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 543 yields:
% 104.91/56.24 | (267) ~ (e4 = e0)
% 104.91/56.24 |
% 104.91/56.24 | Equations (749) can reduce 473 to:
% 104.91/56.24 | (496) ~ (e2 = e0)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 496 yields:
% 104.91/56.24 | (336) ~ (e2 = e0)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (241), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (793) all_0_17_17 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (793) can reduce 456 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.24 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1172), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (855) all_0_17_17 = e3
% 104.91/56.24 |
% 104.91/56.24 | Equations (855) can reduce 9 to:
% 104.91/56.24 | (1719) ~ (all_0_18_18 = e3)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 1719 yields:
% 104.91/56.24 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.24 |
% 104.91/56.24 | Equations (855) can reduce 456 to:
% 104.91/56.24 | (558) ~ (e4 = e3)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 558 yields:
% 104.91/56.24 | (255) ~ (e4 = e3)
% 104.91/56.24 |
% 104.91/56.24 | Equations (855) can reduce 396 to:
% 104.91/56.24 | (52) ~ (e3 = e2)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (51), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (793) all_0_17_17 = e4
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (793,855) yields a new equation:
% 104.91/56.24 | (596) e4 = e3
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 596 yields:
% 104.91/56.24 | (597) e4 = e3
% 104.91/56.24 |
% 104.91/56.24 | Equations (597) can reduce 255 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.24 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (796), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (797) all_0_22_22 = e4
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (442,797) yields a new equation:
% 104.91/56.24 | (798) e4 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (798) can reduce 21 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (800) ~ (all_0_22_22 = e4)
% 104.91/56.24 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (342), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1008) all_0_18_18 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (1008) can reduce 458 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (458) ~ (all_0_18_18 = e4)
% 104.91/56.24 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (102), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1147) all_0_18_18 = e3
% 104.91/56.24 |
% 104.91/56.24 | Equations (1147) can reduce 1189 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.24 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (179), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (711) all_0_15_15 = e2
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (711,969) yields a new equation:
% 104.91/56.24 | (620) e2 = e1
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 620 yields:
% 104.91/56.24 | (621) e2 = e1
% 104.91/56.24 |
% 104.91/56.24 | Equations (621) can reduce 310 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (769) ~ (all_0_15_15 = e2)
% 104.91/56.24 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (801), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (804) all_0_27_27 = e4
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (816,804) yields a new equation:
% 104.91/56.24 | (838) e4 = e1
% 104.91/56.24 |
% 104.91/56.24 | Equations (838) can reduce 56 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (785) ~ (all_0_27_27 = e4)
% 104.91/56.24 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (816) can reduce 785 to:
% 104.91/56.24 | (764) ~ (e4 = e1)
% 104.91/56.24 |
% 104.91/56.24 | Simplifying 764 yields:
% 104.91/56.24 | (56) ~ (e4 = e1)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (86), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (854) all_0_28_28 = e4
% 104.91/56.24 |
% 104.91/56.24 | Equations (854) can reduce 477 to:
% 104.91/56.24 | (21) ~ (e4 = e2)
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1529), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1530) all_0_20_20 = e2
% 104.91/56.24 |
% 104.91/56.24 | Combining equations (1530,500) yields a new equation:
% 104.91/56.24 | (798) e4 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (798) can reduce 21 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (444) ~ (all_0_20_20 = e2)
% 104.91/56.24 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (121), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (732) all_0_35_35 = e2
% 104.91/56.24 |
% 104.91/56.24 | From (732) and (89) follows:
% 104.91/56.24 | (1764) op(e0, e4) = e2
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1146), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1147) all_0_18_18 = e3
% 104.91/56.24 |
% 104.91/56.24 | Equations (1147) can reduce 1189 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (1189) ~ (all_0_18_18 = e3)
% 104.91/56.24 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.24 |
% 104.91/56.24 +-Applying beta-rule and splitting (1190), into two cases.
% 104.91/56.24 |-Branch one:
% 104.91/56.24 | (1191) all_0_18_18 = e2
% 104.91/56.24 |
% 104.91/56.24 | Equations (1191) can reduce 638 to:
% 104.91/56.24 | (400) $false
% 104.91/56.24 |
% 104.91/56.24 |-The branch is then unsatisfiable
% 104.91/56.24 |-Branch two:
% 104.91/56.24 | (638) ~ (all_0_18_18 = e2)
% 104.91/56.24 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (290), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (679) ~ (all_0_15_15 = e1)
% 104.91/56.25 |
% 104.91/56.25 | Equations (969) can reduce 679 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (969) all_0_15_15 = e1
% 104.91/56.25 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1194), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (984) all_0_18_18 = e1
% 104.91/56.25 |
% 104.91/56.25 | Equations (984) can reduce 428 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (428) ~ (all_0_18_18 = e1)
% 104.91/56.25 | (756) all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (756,1565) yields a new equation:
% 104.91/56.25 | (1777) all_0_13_13 = e0
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1781), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1782), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 104.91/56.25 |
% 104.91/56.25 | Applying alpha-rule on (1783) yields:
% 104.91/56.25 | (1565) all_0_13_13 = all_0_18_18
% 104.91/56.25 | (1785) ~ (all_0_12_12 = e2)
% 104.91/56.25 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (1565,1777) yields a new equation:
% 104.91/56.25 | (1787) all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 1787 yields:
% 104.91/56.25 | (756) all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 | From (756) and (1567) follows:
% 104.91/56.25 | (1789) op(e0, e4) = all_0_12_12
% 104.91/56.25 |
% 104.91/56.25 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 104.91/56.25 | (1790) all_0_12_12 = e2
% 104.91/56.25 |
% 104.91/56.25 | Equations (1790) can reduce 1785 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 104.91/56.25 |
% 104.91/56.25 | Applying alpha-rule on (1792) yields:
% 104.91/56.25 | (1565) all_0_13_13 = all_0_18_18
% 104.91/56.25 | (1141) ~ (all_0_18_18 = e0)
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (1565,1777) yields a new equation:
% 104.91/56.25 | (1787) all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 1787 yields:
% 104.91/56.25 | (756) all_0_18_18 = e0
% 104.91/56.25 |
% 104.91/56.25 | Equations (756) can reduce 1141 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 104.91/56.25 |
% 104.91/56.25 | Applying alpha-rule on (1798) yields:
% 104.91/56.25 | (1799) all_0_14_14 = all_0_30_30
% 104.91/56.25 | (1800) ~ (all_0_30_30 = e3)
% 104.91/56.25 |
% 104.91/56.25 | Equations (575) can reduce 1800 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (719) ~ (all_0_35_35 = e2)
% 104.91/56.25 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1535), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1536) all_0_25_25 = e2
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (1536,749) yields a new equation:
% 104.91/56.25 | (524) e2 = e0
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 524 yields:
% 104.91/56.25 | (525) e2 = e0
% 104.91/56.25 |
% 104.91/56.25 | Equations (525) can reduce 336 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.25 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1539), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (613) all_0_30_30 = e2
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (575,613) yields a new equation:
% 104.91/56.25 | (614) e3 = e2
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 614 yields:
% 104.91/56.25 | (615) e3 = e2
% 104.91/56.25 |
% 104.91/56.25 | Equations (615) can reduce 52 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (617) ~ (all_0_30_30 = e2)
% 104.91/56.25 | (732) all_0_35_35 = e2
% 104.91/56.25 |
% 104.91/56.25 | Equations (732) can reduce 719 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (883) ~ (all_0_28_28 = e4)
% 104.91/56.25 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (147), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1008) all_0_18_18 = e4
% 104.91/56.25 |
% 104.91/56.25 | Equations (1008) can reduce 458 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (458) ~ (all_0_18_18 = e4)
% 104.91/56.25 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1012), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1022) all_0_23_23 = e4
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (1022,427) yields a new equation:
% 104.91/56.25 | (975) e4 = e1
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 975 yields:
% 104.91/56.25 | (838) e4 = e1
% 104.91/56.25 |
% 104.91/56.25 | Equations (838) can reduce 56 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (1025) ~ (all_0_23_23 = e4)
% 104.91/56.25 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (841), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (609) all_0_32_32 = e4
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (658,609) yields a new equation:
% 104.91/56.25 | (515) e4 = e0
% 104.91/56.25 |
% 104.91/56.25 | Equations (515) can reduce 267 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (604) ~ (all_0_32_32 = e4)
% 104.91/56.25 | (847) all_0_37_37 = e4
% 104.91/56.25 |
% 104.91/56.25 | Equations (847) can reduce 97 to:
% 104.91/56.25 | (1834) ~ (all_0_38_38 = e4)
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 1834 yields:
% 104.91/56.25 | (1835) ~ (all_0_38_38 = e4)
% 104.91/56.25 |
% 104.91/56.25 | Equations (847) can reduce 450 to:
% 104.91/56.25 | (21) ~ (e4 = e2)
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1026), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (854) all_0_28_28 = e4
% 104.91/56.25 |
% 104.91/56.25 | Equations (854) can reduce 883 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (883) ~ (all_0_28_28 = e4)
% 104.91/56.25 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1840), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1322) all_0_33_33 = e4
% 104.91/56.25 |
% 104.91/56.25 | Combining equations (1322,637) yields a new equation:
% 104.91/56.25 | (1531) e4 = e2
% 104.91/56.25 |
% 104.91/56.25 | Simplifying 1531 yields:
% 104.91/56.25 | (798) e4 = e2
% 104.91/56.25 |
% 104.91/56.25 | Equations (798) can reduce 21 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (594) ~ (all_0_33_33 = e4)
% 104.91/56.25 | (1846) all_0_38_38 = e4
% 104.91/56.25 |
% 104.91/56.25 | Equations (1846) can reduce 1835 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (919) ~ (all_0_17_17 = e3)
% 104.91/56.25 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1176), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (1177) all_0_17_17 = e2
% 104.91/56.25 |
% 104.91/56.25 | Equations (1177) can reduce 396 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (396) ~ (all_0_17_17 = e2)
% 104.91/56.25 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 104.91/56.25 |
% 104.91/56.25 +-Applying beta-rule and splitting (1180), into two cases.
% 104.91/56.25 |-Branch one:
% 104.91/56.25 | (980) all_0_17_17 = e1
% 104.91/56.25 |
% 104.91/56.25 | Equations (980) can reduce 817 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (817) ~ (all_0_17_17 = e1)
% 104.91/56.25 | (1184) all_0_17_17 = e0
% 104.91/56.25 |
% 104.91/56.25 | Equations (1184) can reduce 659 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 104.91/56.25 |
% 104.91/56.25 | Applying alpha-rule on (1448) yields:
% 104.91/56.25 | (995) all_0_27_27 = e0
% 104.91/56.25 | (705) all_0_39_39 = e2
% 104.91/56.25 | (479) ~ (all_0_29_29 = e2)
% 104.91/56.25 |
% 104.91/56.25 | Equations (995) can reduce 660 to:
% 104.91/56.25 | (400) $false
% 104.91/56.25 |
% 104.91/56.25 |-The branch is then unsatisfiable
% 104.91/56.25 |-Branch two:
% 104.91/56.25 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 104.91/56.25 |
% 104.91/56.26 | Applying alpha-rule on (1455) yields:
% 104.91/56.26 | (995) all_0_27_27 = e0
% 104.91/56.26 | (705) all_0_39_39 = e2
% 104.91/56.26 | (538) ~ (all_0_37_37 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (995) can reduce 660 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 104.91/56.26 |
% 104.91/56.26 | Applying alpha-rule on (1462) yields:
% 104.91/56.26 | (1463) all_0_33_33 = e0
% 104.91/56.26 | (1252) all_0_39_39 = e1
% 104.91/56.26 | (421) ~ (all_0_34_34 = e1)
% 104.91/56.26 |
% 104.91/56.26 | Combining equations (637,1463) yields a new equation:
% 104.91/56.26 | (524) e2 = e0
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 524 yields:
% 104.91/56.26 | (525) e2 = e0
% 104.91/56.26 |
% 104.91/56.26 | Equations (525) can reduce 336 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Applying alpha-rule on (1469) yields:
% 104.91/56.26 | (1463) all_0_33_33 = e0
% 104.91/56.26 | (1252) all_0_39_39 = e1
% 104.91/56.26 | (540) ~ (all_0_38_38 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Combining equations (637,1463) yields a new equation:
% 104.91/56.26 | (524) e2 = e0
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 524 yields:
% 104.91/56.26 | (525) e2 = e0
% 104.91/56.26 |
% 104.91/56.26 | Equations (525) can reduce 336 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 104.91/56.26 |
% 104.91/56.26 | Applying alpha-rule on (1798) yields:
% 104.91/56.26 | (1799) all_0_14_14 = all_0_30_30
% 104.91/56.26 | (1800) ~ (all_0_30_30 = e3)
% 104.91/56.26 |
% 104.91/56.26 | Equations (575) can reduce 1800 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (889) ~ (all_0_32_32 = e0)
% 104.91/56.26 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (636), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (1108) all_0_32_32 = e1
% 104.91/56.26 |
% 104.91/56.26 | Equations (1108) can reduce 419 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (419) ~ (all_0_32_32 = e1)
% 104.91/56.26 | (658) all_0_32_32 = e0
% 104.91/56.26 |
% 104.91/56.26 | Equations (658) can reduce 889 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (671) ~ (all_0_33_33 = e2)
% 104.91/56.26 | (2551) all_0_34_34 = e2
% 104.91/56.26 |
% 104.91/56.26 | Combining equations (2551,601) yields a new equation:
% 104.91/56.26 | (798) e4 = e2
% 104.91/56.26 |
% 104.91/56.26 | Equations (798) can reduce 21 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (2554) ~ (all_0_34_34 = e4)
% 104.91/56.26 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (600), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2556) all_0_31_31 = e4
% 104.91/56.26 |
% 104.91/56.26 | Combining equations (414,2556) yields a new equation:
% 104.91/56.26 | (838) e4 = e1
% 104.91/56.26 |
% 104.91/56.26 | Equations (838) can reduce 56 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (2559) ~ (all_0_31_31 = e4)
% 104.91/56.26 | (2560) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2560), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (609) all_0_32_32 = e4
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 242 to:
% 104.91/56.26 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 170 to:
% 104.91/56.26 | (785) ~ (all_0_27_27 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 105 to:
% 104.91/56.26 | (2564) ~ (all_0_33_33 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 2564 yields:
% 104.91/56.26 | (594) ~ (all_0_33_33 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 132 to:
% 104.91/56.26 | (2566) ~ (all_0_34_34 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 2566 yields:
% 104.91/56.26 | (2554) ~ (all_0_34_34 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 211 to:
% 104.91/56.26 | (1001) ~ (all_0_37_37 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 1001 yields:
% 104.91/56.26 | (1002) ~ (all_0_37_37 = e4)
% 104.91/56.26 |
% 104.91/56.26 | Equations (609) can reduce 579 to:
% 104.91/56.26 | (255) ~ (e4 = e3)
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2555), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2571) all_0_34_34 = e3
% 104.91/56.26 |
% 104.91/56.26 | Equations (2571) can reduce 583 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (583) ~ (all_0_34_34 = e3)
% 104.91/56.26 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2574), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2551) all_0_34_34 = e2
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 295 to:
% 104.91/56.26 | (706) ~ (all_0_19_19 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 84 to:
% 104.91/56.26 | (479) ~ (all_0_29_29 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 155 to:
% 104.91/56.26 | (671) ~ (all_0_33_33 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 85 to:
% 104.91/56.26 | (2579) ~ (all_0_39_39 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 2579 yields:
% 104.91/56.26 | (1250) ~ (all_0_39_39 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 2554 to:
% 104.91/56.26 | (482) ~ (e4 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 482 yields:
% 104.91/56.26 | (21) ~ (e4 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Equations (2551) can reduce 583 to:
% 104.91/56.26 | (643) ~ (e3 = e2)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 643 yields:
% 104.91/56.26 | (52) ~ (e3 = e2)
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (129), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (1322) all_0_33_33 = e4
% 104.91/56.26 |
% 104.91/56.26 | Equations (1322) can reduce 594 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (594) ~ (all_0_33_33 = e4)
% 104.91/56.26 | (2588) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2588), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (1360) all_0_33_33 = e3
% 104.91/56.26 |
% 104.91/56.26 | Equations (1360) can reduce 574 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (574) ~ (all_0_33_33 = e3)
% 104.91/56.26 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2592), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (637) all_0_33_33 = e2
% 104.91/56.26 |
% 104.91/56.26 | Equations (637) can reduce 671 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (671) ~ (all_0_33_33 = e2)
% 104.91/56.26 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (2596), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2597) all_0_33_33 = e1
% 104.91/56.26 |
% 104.91/56.26 | Equations (2597) can reduce 436 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (436) ~ (all_0_33_33 = e1)
% 104.91/56.26 | (1463) all_0_33_33 = e0
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 33 to:
% 104.91/56.26 | (1141) ~ (all_0_18_18 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 199 to:
% 104.91/56.26 | (539) ~ (all_0_38_38 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 539 yields:
% 104.91/56.26 | (540) ~ (all_0_38_38 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 594 to:
% 104.91/56.26 | (543) ~ (e4 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 543 yields:
% 104.91/56.26 | (267) ~ (e4 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 574 to:
% 104.91/56.26 | (665) ~ (e3 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 665 yields:
% 104.91/56.26 | (80) ~ (e3 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 671 to:
% 104.91/56.26 | (496) ~ (e2 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 496 yields:
% 104.91/56.26 | (336) ~ (e2 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 436 to:
% 104.91/56.26 | (498) ~ (e1 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Simplifying 498 yields:
% 104.91/56.26 | (40) ~ (e1 = e0)
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (277), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.26 |
% 104.91/56.26 | Equations (1463) can reduce 2612 to:
% 104.91/56.26 | (400) $false
% 104.91/56.26 |
% 104.91/56.26 |-The branch is then unsatisfiable
% 104.91/56.26 |-Branch two:
% 104.91/56.26 | (1463) all_0_33_33 = e0
% 104.91/56.26 | (2615) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 104.91/56.26 |
% 104.91/56.26 +-Applying beta-rule and splitting (18), into two cases.
% 104.91/56.26 |-Branch one:
% 104.91/56.26 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1463) can reduce 2612 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (1463) all_0_33_33 = e0
% 104.91/56.27 | (2619) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (214), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1463) can reduce 2612 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (1463) all_0_33_33 = e0
% 104.91/56.27 | (2623) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (70), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1463) can reduce 2612 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (1463) all_0_33_33 = e0
% 104.91/56.27 | (2627) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (200), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (857) ~ (all_0_27_27 = e1)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (175), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (804) all_0_27_27 = e4
% 104.91/56.27 |
% 104.91/56.27 | Equations (804) can reduce 785 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (785) ~ (all_0_27_27 = e4)
% 104.91/56.27 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (807), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (808) all_0_27_27 = e3
% 104.91/56.27 |
% 104.91/56.27 | Equations (808) can reduce 573 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (573) ~ (all_0_27_27 = e3)
% 104.91/56.27 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (811), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (812) all_0_27_27 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (812) can reduce 475 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (475) ~ (all_0_27_27 = e2)
% 104.91/56.27 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (815), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (816) all_0_27_27 = e1
% 104.91/56.27 |
% 104.91/56.27 | Equations (816) can reduce 857 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (857) ~ (all_0_27_27 = e1)
% 104.91/56.27 | (995) all_0_27_27 = e0
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 226 to:
% 104.91/56.27 | (659) ~ (all_0_17_17 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 337 to:
% 104.91/56.27 | (757) ~ (all_0_28_28 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 757 yields:
% 104.91/56.27 | (758) ~ (all_0_28_28 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 53 to:
% 104.91/56.27 | (492) ~ (all_0_29_29 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 492 yields:
% 104.91/56.27 | (493) ~ (all_0_29_29 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 167 to:
% 104.91/56.27 | (537) ~ (all_0_37_37 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 537 yields:
% 104.91/56.27 | (538) ~ (all_0_37_37 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 785 to:
% 104.91/56.27 | (543) ~ (e4 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 543 yields:
% 104.91/56.27 | (267) ~ (e4 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (995) can reduce 475 to:
% 104.91/56.27 | (496) ~ (e2 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 496 yields:
% 104.91/56.27 | (336) ~ (e2 = e0)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (92), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (736) all_0_15_15 = e0
% 104.91/56.27 |
% 104.91/56.27 | Equations (736) can reduce 42 to:
% 104.91/56.27 | (2657) ~ (all_0_25_25 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 2657 yields:
% 104.91/56.27 | (1054) ~ (all_0_25_25 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (736) can reduce 39 to:
% 104.91/56.27 | (752) ~ (all_0_35_35 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 752 yields:
% 104.91/56.27 | (536) ~ (all_0_35_35 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (736) can reduce 501 to:
% 104.91/56.27 | (543) ~ (e4 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 543 yields:
% 104.91/56.27 | (267) ~ (e4 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Equations (736) can reduce 572 to:
% 104.91/56.27 | (665) ~ (e3 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 665 yields:
% 104.91/56.27 | (80) ~ (e3 = e0)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (160), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (711) all_0_15_15 = e2
% 104.91/56.27 |
% 104.91/56.27 | Combining equations (711,736) yields a new equation:
% 104.91/56.27 | (524) e2 = e0
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 524 yields:
% 104.91/56.27 | (525) e2 = e0
% 104.91/56.27 |
% 104.91/56.27 | Equations (525) can reduce 336 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (769) ~ (all_0_15_15 = e2)
% 104.91/56.27 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (736) can reduce 769 to:
% 104.91/56.27 | (496) ~ (e2 = e0)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 496 yields:
% 104.91/56.27 | (336) ~ (e2 = e0)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (593), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1698) all_0_25_25 = e3
% 104.91/56.27 |
% 104.91/56.27 | Equations (1698) can reduce 577 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (577) ~ (all_0_25_25 = e3)
% 104.91/56.27 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1701), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1536) all_0_25_25 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (1536) can reduce 473 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.27 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1705), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1495) all_0_25_25 = e1
% 104.91/56.27 |
% 104.91/56.27 | Equations (1495) can reduce 505 to:
% 104.91/56.27 | (764) ~ (e4 = e1)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 764 yields:
% 104.91/56.27 | (56) ~ (e4 = e1)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1495) can reduce 1054 to:
% 104.91/56.27 | (40) ~ (e1 = e0)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (179), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (711) all_0_15_15 = e2
% 104.91/56.27 |
% 104.91/56.27 | Combining equations (711,736) yields a new equation:
% 104.91/56.27 | (524) e2 = e0
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 524 yields:
% 104.91/56.27 | (525) e2 = e0
% 104.91/56.27 |
% 104.91/56.27 | Equations (525) can reduce 336 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (769) ~ (all_0_15_15 = e2)
% 104.91/56.27 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1235), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1236) all_0_16_16 = e2
% 104.91/56.27 |
% 104.91/56.27 | Combining equations (1236,454) yields a new equation:
% 104.91/56.27 | (798) e4 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (798) can reduce 21 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (1239) ~ (all_0_16_16 = e2)
% 104.91/56.27 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1240), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1177) all_0_17_17 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (1177) can reduce 396 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (396) ~ (all_0_17_17 = e2)
% 104.91/56.27 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1244), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1191) all_0_18_18 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (1191) can reduce 302 to:
% 104.91/56.27 | (476) ~ (all_0_28_28 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 476 yields:
% 104.91/56.27 | (477) ~ (all_0_28_28 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1191) can reduce 458 to:
% 104.91/56.27 | (482) ~ (e4 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 482 yields:
% 104.91/56.27 | (21) ~ (e4 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Equations (1191) can reduce 428 to:
% 104.91/56.27 | (310) ~ (e2 = e1)
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (128), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (724) all_0_35_35 = e4
% 104.91/56.27 |
% 104.91/56.27 | Equations (724) can reduce 509 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (509) ~ (all_0_35_35 = e4)
% 104.91/56.27 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1529), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1530) all_0_20_20 = e2
% 104.91/56.27 |
% 104.91/56.27 | Combining equations (1530,500) yields a new equation:
% 104.91/56.27 | (798) e4 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (798) can reduce 21 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (444) ~ (all_0_20_20 = e2)
% 104.91/56.27 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (727), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (728) all_0_35_35 = e3
% 104.91/56.27 |
% 104.91/56.27 | Equations (728) can reduce 585 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (585) ~ (all_0_35_35 = e3)
% 104.91/56.27 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (1535), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (1536) all_0_25_25 = e2
% 104.91/56.27 |
% 104.91/56.27 | Combining equations (1495,1536) yields a new equation:
% 104.91/56.27 | (621) e2 = e1
% 104.91/56.27 |
% 104.91/56.27 | Equations (621) can reduce 310 to:
% 104.91/56.27 | (400) $false
% 104.91/56.27 |
% 104.91/56.27 |-The branch is then unsatisfiable
% 104.91/56.27 |-Branch two:
% 104.91/56.27 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.27 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 104.91/56.27 |
% 104.91/56.27 +-Applying beta-rule and splitting (731), into two cases.
% 104.91/56.27 |-Branch one:
% 104.91/56.27 | (732) all_0_35_35 = e2
% 104.91/56.27 |
% 104.91/56.27 | Equations (732) can reduce 309 to:
% 104.91/56.27 | (449) ~ (all_0_37_37 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 449 yields:
% 104.91/56.27 | (450) ~ (all_0_37_37 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Equations (732) can reduce 210 to:
% 104.91/56.27 | (2727) ~ (all_0_38_38 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 2727 yields:
% 104.91/56.27 | (2728) ~ (all_0_38_38 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Equations (732) can reduce 63 to:
% 104.91/56.27 | (2579) ~ (all_0_39_39 = e2)
% 104.91/56.27 |
% 104.91/56.27 | Simplifying 2579 yields:
% 104.91/56.28 | (1250) ~ (all_0_39_39 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Equations (732) can reduce 509 to:
% 104.91/56.28 | (482) ~ (e4 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 482 yields:
% 104.91/56.28 | (21) ~ (e4 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Equations (732) can reduce 585 to:
% 104.91/56.28 | (643) ~ (e3 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 643 yields:
% 104.91/56.28 | (52) ~ (e3 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Equations (732) can reduce 536 to:
% 104.91/56.28 | (336) ~ (e2 = e0)
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (324), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (739) ~ (all_0_15_15 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (736) can reduce 739 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (736) all_0_15_15 = e0
% 104.91/56.28 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (224), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (1463) can reduce 2612 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (1463) all_0_33_33 = e0
% 104.91/56.28 | (2743) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (315), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (739) ~ (all_0_15_15 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (736) can reduce 739 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (736) all_0_15_15 = e0
% 104.91/56.28 | (2747) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (176), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (2612) ~ (all_0_33_33 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (1463) can reduce 2612 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (1463) all_0_33_33 = e0
% 104.91/56.28 | (2751) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (182), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (660) ~ (all_0_27_27 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (995) can reduce 660 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (995) all_0_27_27 = e0
% 104.91/56.28 | (2755) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (17), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (739) ~ (all_0_15_15 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (736) can reduce 739 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (736) all_0_15_15 = e0
% 104.91/56.28 | (2759) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (108), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (739) ~ (all_0_15_15 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Equations (736) can reduce 739 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (736) all_0_15_15 = e0
% 104.91/56.28 | (2763) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (198), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1297) all_0_15_15 = e3
% 104.91/56.28 |
% 104.91/56.28 | Combining equations (1297,736) yields a new equation:
% 104.91/56.28 | (647) e3 = e0
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 647 yields:
% 104.91/56.28 | (648) e3 = e0
% 104.91/56.28 |
% 104.91/56.28 | Equations (648) can reduce 80 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (572) ~ (all_0_15_15 = e3)
% 104.91/56.28 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 104.91/56.28 |
% 104.91/56.28 | Equations (736) can reduce 572 to:
% 104.91/56.28 | (665) ~ (e3 = e0)
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 665 yields:
% 104.91/56.28 | (80) ~ (e3 = e0)
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (288), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (607) ~ (all_0_39_39 = e4)
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (300), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (697) all_0_39_39 = e4
% 104.91/56.28 |
% 104.91/56.28 | Equations (697) can reduce 607 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (607) ~ (all_0_39_39 = e4)
% 104.91/56.28 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (250), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1151) all_0_19_19 = e4
% 104.91/56.28 |
% 104.91/56.28 | Equations (1151) can reduce 460 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (460) ~ (all_0_19_19 = e4)
% 104.91/56.28 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (248), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (724) all_0_35_35 = e4
% 104.91/56.28 |
% 104.91/56.28 | Combining equations (724,732) yields a new equation:
% 104.91/56.28 | (1531) e4 = e2
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 1531 yields:
% 104.91/56.28 | (798) e4 = e2
% 104.91/56.28 |
% 104.91/56.28 | Equations (798) can reduce 21 to:
% 104.91/56.28 | (400) $false
% 104.91/56.28 |
% 104.91/56.28 |-The branch is then unsatisfiable
% 104.91/56.28 |-Branch two:
% 104.91/56.28 | (509) ~ (all_0_35_35 = e4)
% 104.91/56.28 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 104.91/56.28 |
% 104.91/56.28 | Equations (732) can reduce 509 to:
% 104.91/56.28 | (482) ~ (e4 = e2)
% 104.91/56.28 |
% 104.91/56.28 | Simplifying 482 yields:
% 104.91/56.28 | (21) ~ (e4 = e2)
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (251), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (1278), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (1279), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 104.91/56.28 |
% 104.91/56.28 +-Applying beta-rule and splitting (1280), into two cases.
% 104.91/56.28 |-Branch one:
% 104.91/56.28 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1281), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1282), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1283), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1284), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1285), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1286), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1287), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1288), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1289), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1290), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1291), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1292), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1293), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1294), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 104.91/56.29 |
% 104.91/56.29 +-Applying beta-rule and splitting (1295), into two cases.
% 104.91/56.29 |-Branch one:
% 104.91/56.29 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 104.91/56.29 |
% 104.91/56.29 | Applying alpha-rule on (1296) yields:
% 104.91/56.29 | (1297) all_0_15_15 = e3
% 104.91/56.29 | (550) all_0_21_21 = e4
% 104.91/56.29 | (1299) ~ (all_0_16_16 = e4)
% 104.91/56.29 |
% 104.91/56.29 | Combining equations (1297,736) yields a new equation:
% 104.91/56.29 | (647) e3 = e0
% 104.91/56.29 |
% 104.91/56.29 | Simplifying 647 yields:
% 104.91/56.29 | (648) e3 = e0
% 104.91/56.29 |
% 104.91/56.29 | Equations (648) can reduce 80 to:
% 104.91/56.29 | (400) $false
% 104.91/56.29 |
% 104.91/56.29 |-The branch is then unsatisfiable
% 104.91/56.29 |-Branch two:
% 104.91/56.29 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 104.91/56.29 |
% 104.91/56.29 | Applying alpha-rule on (1303) yields:
% 104.91/56.29 | (1297) all_0_15_15 = e3
% 104.91/56.29 | (550) all_0_21_21 = e4
% 104.91/56.29 | (1306) ~ (all_0_20_20 = e3)
% 104.91/56.29 |
% 104.91/56.29 | Combining equations (1297,736) yields a new equation:
% 104.91/56.29 | (647) e3 = e0
% 104.91/56.29 |
% 104.91/56.29 | Simplifying 647 yields:
% 104.91/56.29 | (648) e3 = e0
% 104.91/56.29 |
% 104.91/56.29 | Equations (648) can reduce 80 to:
% 104.91/56.29 | (400) $false
% 104.91/56.29 |
% 104.91/56.29 |-The branch is then unsatisfiable
% 104.91/56.29 |-Branch two:
% 104.91/56.29 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 104.91/56.29 |
% 104.91/56.29 | Applying alpha-rule on (1310) yields:
% 104.91/56.29 | (711) all_0_15_15 = e2
% 104.91/56.29 | (804) all_0_27_27 = e4
% 104.91/56.29 | (456) ~ (all_0_17_17 = e4)
% 104.91/56.29 |
% 104.91/56.29 | Combining equations (711,736) yields a new equation:
% 104.91/56.29 | (524) e2 = e0
% 104.91/56.29 |
% 104.91/56.29 | Simplifying 524 yields:
% 104.91/56.29 | (525) e2 = e0
% 104.91/56.29 |
% 104.91/56.29 | Equations (525) can reduce 336 to:
% 104.91/56.29 | (400) $false
% 104.91/56.29 |
% 104.91/56.29 |-The branch is then unsatisfiable
% 104.91/56.29 |-Branch two:
% 104.91/56.29 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 104.91/56.29 |
% 104.91/56.29 | Applying alpha-rule on (1315) yields:
% 104.91/56.29 | (711) all_0_15_15 = e2
% 104.91/56.29 | (804) all_0_27_27 = e4
% 104.91/56.29 | (473) ~ (all_0_25_25 = e2)
% 104.91/56.29 |
% 104.91/56.29 | Combining equations (711,736) yields a new equation:
% 104.91/56.29 | (524) e2 = e0
% 104.91/56.29 |
% 104.91/56.29 | Simplifying 524 yields:
% 104.91/56.29 | (525) e2 = e0
% 104.91/56.29 |
% 104.91/56.29 | Equations (525) can reduce 336 to:
% 104.91/56.29 | (400) $false
% 104.91/56.29 |
% 104.91/56.29 |-The branch is then unsatisfiable
% 104.91/56.29 |-Branch two:
% 104.91/56.29 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 104.91/56.29 |
% 104.91/56.29 | Applying alpha-rule on (1320) yields:
% 104.91/56.29 | (969) all_0_15_15 = e1
% 104.91/56.29 | (1322) all_0_33_33 = e4
% 104.91/56.30 | (458) ~ (all_0_18_18 = e4)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (969,736) yields a new equation:
% 104.91/56.30 | (530) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 530 yields:
% 104.91/56.30 | (531) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (531) can reduce 40 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1326) yields:
% 104.91/56.30 | (969) all_0_15_15 = e1
% 104.91/56.30 | (1322) all_0_33_33 = e4
% 104.91/56.30 | (417) ~ (all_0_30_30 = e1)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (969,736) yields a new equation:
% 104.91/56.30 | (530) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 530 yields:
% 104.91/56.30 | (531) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (531) can reduce 40 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1332) yields:
% 104.91/56.30 | (736) all_0_15_15 = e0
% 104.91/56.30 | (697) all_0_39_39 = e4
% 104.91/56.30 | (460) ~ (all_0_19_19 = e4)
% 104.91/56.30 |
% 104.91/56.30 | Equations (697) can reduce 607 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1339) yields:
% 104.91/56.30 | (736) all_0_15_15 = e0
% 104.91/56.30 | (697) all_0_39_39 = e4
% 104.91/56.30 | (536) ~ (all_0_35_35 = e0)
% 104.91/56.30 |
% 104.91/56.30 | Equations (697) can reduce 607 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1346) yields:
% 104.91/56.30 | (1347) all_0_21_21 = e2
% 104.91/56.30 | (808) all_0_27_27 = e3
% 104.91/56.30 | (925) ~ (all_0_22_22 = e3)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (557,1347) yields a new equation:
% 104.91/56.30 | (614) e3 = e2
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 614 yields:
% 104.91/56.30 | (615) e3 = e2
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (808,995) yields a new equation:
% 104.91/56.30 | (647) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 647 yields:
% 104.91/56.30 | (648) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (615,648) yields a new equation:
% 104.91/56.30 | (524) e2 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 524 yields:
% 104.91/56.30 | (525) e2 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (525) can reduce 336 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1352) yields:
% 104.91/56.30 | (1347) all_0_21_21 = e2
% 104.91/56.30 | (808) all_0_27_27 = e3
% 104.91/56.30 | (1355) ~ (all_0_26_26 = e2)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (557,1347) yields a new equation:
% 104.91/56.30 | (614) e3 = e2
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 614 yields:
% 104.91/56.30 | (615) e3 = e2
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (808,995) yields a new equation:
% 104.91/56.30 | (647) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 647 yields:
% 104.91/56.30 | (648) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (615,648) yields a new equation:
% 104.91/56.30 | (524) e2 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 524 yields:
% 104.91/56.30 | (525) e2 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (525) can reduce 336 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1358) yields:
% 104.91/56.30 | (1359) all_0_21_21 = e1
% 104.91/56.30 | (1360) all_0_33_33 = e3
% 104.91/56.30 | (1361) ~ (all_0_23_23 = e3)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (557,1359) yields a new equation:
% 104.91/56.30 | (1113) e3 = e1
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 1113 yields:
% 104.91/56.30 | (928) e3 = e1
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (1360,1463) yields a new equation:
% 104.91/56.30 | (647) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 647 yields:
% 104.91/56.30 | (648) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (928,648) yields a new equation:
% 104.91/56.30 | (530) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 530 yields:
% 104.91/56.30 | (531) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (531) can reduce 40 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1367) yields:
% 104.91/56.30 | (1359) all_0_21_21 = e1
% 104.91/56.30 | (1360) all_0_33_33 = e3
% 104.91/56.30 | (1370) ~ (all_0_31_31 = e1)
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (557,1359) yields a new equation:
% 104.91/56.30 | (1113) e3 = e1
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 1113 yields:
% 104.91/56.30 | (928) e3 = e1
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (1360,1463) yields a new equation:
% 104.91/56.30 | (647) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 647 yields:
% 104.91/56.30 | (648) e3 = e0
% 104.91/56.30 |
% 104.91/56.30 | Combining equations (928,648) yields a new equation:
% 104.91/56.30 | (530) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Simplifying 530 yields:
% 104.91/56.30 | (531) e1 = e0
% 104.91/56.30 |
% 104.91/56.30 | Equations (531) can reduce 40 to:
% 104.91/56.30 | (400) $false
% 104.91/56.30 |
% 104.91/56.30 |-The branch is then unsatisfiable
% 104.91/56.30 |-Branch two:
% 104.91/56.30 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 104.91/56.30 |
% 104.91/56.30 | Applying alpha-rule on (1376) yields:
% 104.91/56.30 | (519) all_0_21_21 = e0
% 104.91/56.30 | (701) all_0_39_39 = e3
% 105.26/56.30 | (1379) ~ (all_0_24_24 = e3)
% 105.26/56.30 |
% 105.26/56.30 | Combining equations (557,519) yields a new equation:
% 105.26/56.30 | (647) e3 = e0
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 647 yields:
% 105.26/56.30 | (648) e3 = e0
% 105.26/56.30 |
% 105.26/56.30 | Equations (648) can reduce 80 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1385) yields:
% 105.26/56.30 | (519) all_0_21_21 = e0
% 105.26/56.30 | (701) all_0_39_39 = e3
% 105.26/56.30 | (1388) ~ (all_0_36_36 = e0)
% 105.26/56.30 |
% 105.26/56.30 | Combining equations (557,519) yields a new equation:
% 105.26/56.30 | (647) e3 = e0
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 647 yields:
% 105.26/56.30 | (648) e3 = e0
% 105.26/56.30 |
% 105.26/56.30 | Equations (648) can reduce 80 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1394) yields:
% 105.26/56.30 | (816) all_0_27_27 = e1
% 105.26/56.30 | (637) all_0_33_33 = e2
% 105.26/56.30 | (477) ~ (all_0_28_28 = e2)
% 105.26/56.30 |
% 105.26/56.30 | Combining equations (816,995) yields a new equation:
% 105.26/56.30 | (530) e1 = e0
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 530 yields:
% 105.26/56.30 | (531) e1 = e0
% 105.26/56.30 |
% 105.26/56.30 | Equations (531) can reduce 40 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1421) yields:
% 105.26/56.30 | (816) all_0_27_27 = e1
% 105.26/56.30 | (637) all_0_33_33 = e2
% 105.26/56.30 | (419) ~ (all_0_32_32 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Combining equations (816,995) yields a new equation:
% 105.26/56.30 | (530) e1 = e0
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 530 yields:
% 105.26/56.30 | (531) e1 = e0
% 105.26/56.30 |
% 105.26/56.30 | Equations (531) can reduce 40 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1448) yields:
% 105.26/56.30 | (995) all_0_27_27 = e0
% 105.26/56.30 | (705) all_0_39_39 = e2
% 105.26/56.30 | (479) ~ (all_0_29_29 = e2)
% 105.26/56.30 |
% 105.26/56.30 | Equations (705) can reduce 1250 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1455) yields:
% 105.26/56.30 | (995) all_0_27_27 = e0
% 105.26/56.30 | (705) all_0_39_39 = e2
% 105.26/56.30 | (538) ~ (all_0_37_37 = e0)
% 105.26/56.30 |
% 105.26/56.30 | Equations (705) can reduce 1250 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Applying alpha-rule on (1462) yields:
% 105.26/56.30 | (1463) all_0_33_33 = e0
% 105.26/56.30 | (1252) all_0_39_39 = e1
% 105.26/56.30 | (421) ~ (all_0_34_34 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 94 to:
% 105.26/56.30 | (943) ~ (all_0_19_19 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 291 to:
% 105.26/56.30 | (2946) ~ (all_0_29_29 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 24 to:
% 105.26/56.30 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 231 to:
% 105.26/56.30 | (438) ~ (all_0_38_38 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 607 to:
% 105.26/56.30 | (764) ~ (e4 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 764 yields:
% 105.26/56.30 | (56) ~ (e4 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 571 to:
% 105.26/56.30 | (824) ~ (e3 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 824 yields:
% 105.26/56.30 | (298) ~ (e3 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 1250 to:
% 105.26/56.30 | (766) ~ (e2 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 766 yields:
% 105.26/56.30 | (310) ~ (e2 = e1)
% 105.26/56.30 |
% 105.26/56.30 | Equations (1252) can reduce 542 to:
% 105.26/56.30 | (40) ~ (e1 = e0)
% 105.26/56.30 |
% 105.26/56.30 +-Applying beta-rule and splitting (2780), into two cases.
% 105.26/56.30 |-Branch one:
% 105.26/56.30 | (2956) all_0_24_24 = e4
% 105.26/56.30 |
% 105.26/56.30 | Combining equations (2956,488) yields a new equation:
% 105.26/56.30 | (743) e4 = e0
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 743 yields:
% 105.26/56.30 | (515) e4 = e0
% 105.26/56.30 |
% 105.26/56.30 | Equations (515) can reduce 267 to:
% 105.26/56.30 | (400) $false
% 105.26/56.30 |
% 105.26/56.30 |-The branch is then unsatisfiable
% 105.26/56.30 |-Branch two:
% 105.26/56.30 | (2960) ~ (all_0_24_24 = e4)
% 105.26/56.30 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 105.26/56.30 |
% 105.26/56.30 | Equations (488) can reduce 2960 to:
% 105.26/56.30 | (543) ~ (e4 = e0)
% 105.26/56.30 |
% 105.26/56.30 | Simplifying 543 yields:
% 105.26/56.31 | (267) ~ (e4 = e0)
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (249), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (980) all_0_17_17 = e1
% 105.26/56.31 |
% 105.26/56.31 | Equations (980) can reduce 456 to:
% 105.26/56.31 | (764) ~ (e4 = e1)
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 764 yields:
% 105.26/56.31 | (56) ~ (e4 = e1)
% 105.26/56.31 |
% 105.26/56.31 | From (980) and (313) follows:
% 105.26/56.31 | (2967) op(e4, e2) = e1
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (142), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (855) all_0_17_17 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (980,855) yields a new equation:
% 105.26/56.31 | (928) e3 = e1
% 105.26/56.31 |
% 105.26/56.31 | Equations (928) can reduce 298 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.31 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.31 |
% 105.26/56.31 | Equations (980) can reduce 919 to:
% 105.26/56.31 | (824) ~ (e3 = e1)
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 824 yields:
% 105.26/56.31 | (298) ~ (e3 = e1)
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (1091), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (2975) all_0_36_36 = e4
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (534,2975) yields a new equation:
% 105.26/56.31 | (515) e4 = e0
% 105.26/56.31 |
% 105.26/56.31 | Equations (515) can reduce 267 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (466) ~ (all_0_36_36 = e4)
% 105.26/56.31 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (2979), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (847) all_0_37_37 = e4
% 105.26/56.31 |
% 105.26/56.31 | Equations (847) can reduce 1002 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.31 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (2983), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (1846) all_0_38_38 = e4
% 105.26/56.31 |
% 105.26/56.31 | Equations (1846) can reduce 2728 to:
% 105.26/56.31 | (21) ~ (e4 = e2)
% 105.26/56.31 |
% 105.26/56.31 | Equations (1846) can reduce 438 to:
% 105.26/56.31 | (56) ~ (e4 = e1)
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (203), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (696) ~ (all_0_39_39 = e1)
% 105.26/56.31 |
% 105.26/56.31 | Equations (1252) can reduce 696 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (1252) all_0_39_39 = e1
% 105.26/56.31 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (2961), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (941) all_0_29_29 = e4
% 105.26/56.31 |
% 105.26/56.31 | Equations (941) can reduce 47 to:
% 105.26/56.31 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (81), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (660) ~ (all_0_27_27 = e0)
% 105.26/56.31 |
% 105.26/56.31 | Equations (995) can reduce 660 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (995) all_0_27_27 = e0
% 105.26/56.31 | (2996) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (86), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (854) all_0_28_28 = e4
% 105.26/56.31 |
% 105.26/56.31 | Equations (854) can reduce 883 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.31 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (57), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (1698) all_0_25_25 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (1698,1495) yields a new equation:
% 105.26/56.31 | (1113) e3 = e1
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 1113 yields:
% 105.26/56.31 | (928) e3 = e1
% 105.26/56.31 |
% 105.26/56.31 | Equations (928) can reduce 298 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (577) ~ (all_0_25_25 = e3)
% 105.26/56.31 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (3006), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (3007) all_0_26_26 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (471,3007) yields a new equation:
% 105.26/56.31 | (615) e3 = e2
% 105.26/56.31 |
% 105.26/56.31 | Equations (615) can reduce 52 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (3010) ~ (all_0_26_26 = e3)
% 105.26/56.31 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (3011), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (808) all_0_27_27 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (995,808) yields a new equation:
% 105.26/56.31 | (648) e3 = e0
% 105.26/56.31 |
% 105.26/56.31 | Equations (648) can reduce 80 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (573) ~ (all_0_27_27 = e3)
% 105.26/56.31 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (3016), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (1106) all_0_28_28 = e3
% 105.26/56.31 |
% 105.26/56.31 | Equations (1106) can reduce 883 to:
% 105.26/56.31 | (558) ~ (e4 = e3)
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 558 yields:
% 105.26/56.31 | (255) ~ (e4 = e3)
% 105.26/56.31 |
% 105.26/56.31 | Equations (1106) can reduce 477 to:
% 105.26/56.31 | (52) ~ (e3 = e2)
% 105.26/56.31 |
% 105.26/56.31 | Equations (1106) can reduce 758 to:
% 105.26/56.31 | (80) ~ (e3 = e0)
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (920), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (921) all_0_22_22 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (921,442) yields a new equation:
% 105.26/56.31 | (614) e3 = e2
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 614 yields:
% 105.26/56.31 | (615) e3 = e2
% 105.26/56.31 |
% 105.26/56.31 | Equations (615) can reduce 52 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (925) ~ (all_0_22_22 = e3)
% 105.26/56.31 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (926), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (808) all_0_27_27 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (995,808) yields a new equation:
% 105.26/56.31 | (648) e3 = e0
% 105.26/56.31 |
% 105.26/56.31 | Equations (648) can reduce 80 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (573) ~ (all_0_27_27 = e3)
% 105.26/56.31 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (931), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (629) all_0_32_32 = e3
% 105.26/56.31 |
% 105.26/56.31 | Combining equations (609,629) yields a new equation:
% 105.26/56.31 | (596) e4 = e3
% 105.26/56.31 |
% 105.26/56.31 | Simplifying 596 yields:
% 105.26/56.31 | (597) e4 = e3
% 105.26/56.31 |
% 105.26/56.31 | Equations (597) can reduce 255 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (579) ~ (all_0_32_32 = e3)
% 105.26/56.31 | (936) all_0_37_37 = e3
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (2996), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (3039) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 105.26/56.31 |
% 105.26/56.31 +-Applying beta-rule and splitting (3039), into two cases.
% 105.26/56.31 |-Branch one:
% 105.26/56.31 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 105.26/56.31 |
% 105.26/56.31 | Applying alpha-rule on (3040) yields:
% 105.26/56.31 | (3041) all_0_7_7 = all_0_29_29
% 105.26/56.31 | (3042) ~ (all_0_6_6 = e1)
% 105.26/56.31 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 105.26/56.31 |
% 105.26/56.31 | From (941) and (3043) follows:
% 105.26/56.31 | (878) op(e4, e2) = all_0_6_6
% 105.26/56.31 |
% 105.26/56.31 | Instantiating formula (29) with e4, e2, e1, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e1, yields:
% 105.26/56.31 | (3045) all_0_6_6 = e1
% 105.26/56.31 |
% 105.26/56.31 | Equations (3045) can reduce 3042 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (3047) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)
% 105.26/56.31 |
% 105.26/56.31 | Applying alpha-rule on (3047) yields:
% 105.26/56.31 | (3041) all_0_7_7 = all_0_29_29
% 105.26/56.31 | (603) ~ (all_0_29_29 = e4)
% 105.26/56.31 |
% 105.26/56.31 | Equations (941) can reduce 603 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (3051) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3)
% 105.26/56.31 |
% 105.26/56.31 | Applying alpha-rule on (3051) yields:
% 105.26/56.31 | (3052) all_0_8_8 = all_0_37_37
% 105.26/56.31 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.31 |
% 105.26/56.31 | Equations (936) can reduce 1127 to:
% 105.26/56.31 | (400) $false
% 105.26/56.31 |
% 105.26/56.31 |-The branch is then unsatisfiable
% 105.26/56.31 |-Branch two:
% 105.26/56.31 | (893) ~ (all_0_28_28 = e3)
% 105.26/56.32 | (3056) all_0_29_29 = e3
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (941,3056) yields a new equation:
% 105.26/56.32 | (596) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 596 yields:
% 105.26/56.32 | (597) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (597) can reduce 255 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (603) ~ (all_0_29_29 = e4)
% 105.26/56.32 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (55), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (590) all_0_25_25 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1495,590) yields a new equation:
% 105.26/56.32 | (838) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (838) can reduce 56 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (505) ~ (all_0_25_25 = e4)
% 105.26/56.32 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.32 |
% 105.26/56.32 | Equations (1495) can reduce 505 to:
% 105.26/56.32 | (764) ~ (e4 = e1)
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 764 yields:
% 105.26/56.32 | (56) ~ (e4 = e1)
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (3061), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (601) all_0_34_34 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (2551,601) yields a new equation:
% 105.26/56.32 | (798) e4 = e2
% 105.26/56.32 |
% 105.26/56.32 | Equations (798) can reduce 21 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (2554) ~ (all_0_34_34 = e4)
% 105.26/56.32 | (697) all_0_39_39 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1252,697) yields a new equation:
% 105.26/56.32 | (838) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (838) can reduce 56 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.32 | (697) all_0_39_39 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1252,697) yields a new equation:
% 105.26/56.32 | (838) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (838) can reduce 56 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.32 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (305), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (969) all_0_15_15 = e1
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (969,736) yields a new equation:
% 105.26/56.32 | (530) e1 = e0
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 530 yields:
% 105.26/56.32 | (531) e1 = e0
% 105.26/56.32 |
% 105.26/56.32 | Equations (531) can reduce 40 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (679) ~ (all_0_15_15 = e1)
% 105.26/56.32 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (59), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (847) all_0_37_37 = e4
% 105.26/56.32 |
% 105.26/56.32 | Equations (847) can reduce 1002 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.32 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (1007), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (936) all_0_37_37 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 282 to:
% 105.26/56.32 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 97 to:
% 105.26/56.32 | (3094) ~ (all_0_38_38 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 3094 yields:
% 105.26/56.32 | (3095) ~ (all_0_38_38 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 1002 to:
% 105.26/56.32 | (558) ~ (e4 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 558 yields:
% 105.26/56.32 | (255) ~ (e4 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 450 to:
% 105.26/56.32 | (52) ~ (e3 = e2)
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 763 to:
% 105.26/56.32 | (298) ~ (e3 = e1)
% 105.26/56.32 |
% 105.26/56.32 | Equations (936) can reduce 538 to:
% 105.26/56.32 | (80) ~ (e3 = e0)
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (102), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (1147) all_0_18_18 = e3
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1147,1191) yields a new equation:
% 105.26/56.32 | (614) e3 = e2
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 614 yields:
% 105.26/56.32 | (615) e3 = e2
% 105.26/56.32 |
% 105.26/56.32 | Equations (615) can reduce 52 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (1189) ~ (all_0_18_18 = e3)
% 105.26/56.32 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (1742), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (3107) all_0_23_23 = e3
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (3107,427) yields a new equation:
% 105.26/56.32 | (1113) e3 = e1
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 1113 yields:
% 105.26/56.32 | (928) e3 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (928) can reduce 298 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (1361) ~ (all_0_23_23 = e3)
% 105.26/56.32 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (3112), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (1106) all_0_28_28 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (1106) can reduce 47 to:
% 105.26/56.32 | (3114) ~ (all_0_29_29 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 3114 yields:
% 105.26/56.32 | (3115) ~ (all_0_29_29 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Equations (1106) can reduce 477 to:
% 105.26/56.32 | (52) ~ (e3 = e2)
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (2769), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (3117) all_0_16_16 = e3
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (454,3117) yields a new equation:
% 105.26/56.32 | (596) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 596 yields:
% 105.26/56.32 | (597) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (597) can reduce 255 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (3121) ~ (all_0_16_16 = e3)
% 105.26/56.32 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (454) can reduce 3121 to:
% 105.26/56.32 | (255) ~ (e4 = e3)
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (55), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (590) all_0_25_25 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (590,1495) yields a new equation:
% 105.26/56.32 | (975) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 975 yields:
% 105.26/56.32 | (838) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (838) can reduce 56 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (505) ~ (all_0_25_25 = e4)
% 105.26/56.32 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (790), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (832) all_0_26_26 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (471,832) yields a new equation:
% 105.26/56.32 | (798) e4 = e2
% 105.26/56.32 |
% 105.26/56.32 | Equations (798) can reduce 21 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (464) ~ (all_0_26_26 = e4)
% 105.26/56.32 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (836), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (804) all_0_27_27 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (995,804) yields a new equation:
% 105.26/56.32 | (515) e4 = e0
% 105.26/56.32 |
% 105.26/56.32 | Equations (515) can reduce 267 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (785) ~ (all_0_27_27 = e4)
% 105.26/56.32 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (853), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (854) all_0_28_28 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1106,854) yields a new equation:
% 105.26/56.32 | (597) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (597) can reduce 255 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.32 | (941) all_0_29_29 = e4
% 105.26/56.32 |
% 105.26/56.32 | Equations (941) can reduce 3115 to:
% 105.26/56.32 | (255) ~ (e4 = e3)
% 105.26/56.32 |
% 105.26/56.32 | Equations (941) can reduce 479 to:
% 105.26/56.32 | (21) ~ (e4 = e2)
% 105.26/56.32 |
% 105.26/56.32 | Equations (941) can reduce 2946 to:
% 105.26/56.32 | (56) ~ (e4 = e1)
% 105.26/56.32 |
% 105.26/56.32 | Equations (941) can reduce 493 to:
% 105.26/56.32 | (267) ~ (e4 = e0)
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (147), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (1008) all_0_18_18 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1008,1191) yields a new equation:
% 105.26/56.32 | (1531) e4 = e2
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 1531 yields:
% 105.26/56.32 | (798) e4 = e2
% 105.26/56.32 |
% 105.26/56.32 | Equations (798) can reduce 21 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (458) ~ (all_0_18_18 = e4)
% 105.26/56.32 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (1012), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (1022) all_0_23_23 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1022,427) yields a new equation:
% 105.26/56.32 | (975) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Simplifying 975 yields:
% 105.26/56.32 | (838) e4 = e1
% 105.26/56.32 |
% 105.26/56.32 | Equations (838) can reduce 56 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (1025) ~ (all_0_23_23 = e4)
% 105.26/56.32 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (1026), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (854) all_0_28_28 = e4
% 105.26/56.32 |
% 105.26/56.32 | Combining equations (1106,854) yields a new equation:
% 105.26/56.32 | (597) e4 = e3
% 105.26/56.32 |
% 105.26/56.32 | Equations (597) can reduce 255 to:
% 105.26/56.32 | (400) $false
% 105.26/56.32 |
% 105.26/56.32 |-The branch is then unsatisfiable
% 105.26/56.32 |-Branch two:
% 105.26/56.32 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.32 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.32 |
% 105.26/56.32 +-Applying beta-rule and splitting (1840), into two cases.
% 105.26/56.32 |-Branch one:
% 105.26/56.32 | (1322) all_0_33_33 = e4
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (1322,1463) yields a new equation:
% 105.26/56.33 | (743) e4 = e0
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 743 yields:
% 105.26/56.33 | (515) e4 = e0
% 105.26/56.33 |
% 105.26/56.33 | Equations (515) can reduce 267 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (594) ~ (all_0_33_33 = e4)
% 105.26/56.33 | (1846) all_0_38_38 = e4
% 105.26/56.33 |
% 105.26/56.33 | Equations (1846) can reduce 438 to:
% 105.26/56.33 | (56) ~ (e4 = e1)
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3122), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (855) all_0_17_17 = e3
% 105.26/56.33 |
% 105.26/56.33 | Equations (855) can reduce 919 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.33 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3176), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (1147) all_0_18_18 = e3
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (1147,1191) yields a new equation:
% 105.26/56.33 | (614) e3 = e2
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 614 yields:
% 105.26/56.33 | (615) e3 = e2
% 105.26/56.33 |
% 105.26/56.33 | Equations (615) can reduce 52 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (1189) ~ (all_0_18_18 = e3)
% 105.26/56.33 | (1159) all_0_19_19 = e3
% 105.26/56.33 |
% 105.26/56.33 | Equations (1159) can reduce 943 to:
% 105.26/56.33 | (298) ~ (e3 = e1)
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (973), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (974) all_0_16_16 = e1
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (974,454) yields a new equation:
% 105.26/56.33 | (838) e4 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (838) can reduce 56 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (415) ~ (all_0_16_16 = e1)
% 105.26/56.33 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (979), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (980) all_0_17_17 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (980) can reduce 817 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.33 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (983), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (984) all_0_18_18 = e1
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (984,1191) yields a new equation:
% 105.26/56.33 | (621) e2 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (621) can reduce 310 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (428) ~ (all_0_18_18 = e1)
% 105.26/56.33 | (829) all_0_19_19 = e1
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (829,1159) yields a new equation:
% 105.26/56.33 | (928) e3 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (928) can reduce 298 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (893) ~ (all_0_28_28 = e3)
% 105.26/56.33 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (333), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (1846) all_0_38_38 = e4
% 105.26/56.33 |
% 105.26/56.33 | Equations (1846) can reduce 3095 to:
% 105.26/56.33 | (255) ~ (e4 = e3)
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3201), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (1360) all_0_33_33 = e3
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (1463,1360) yields a new equation:
% 105.26/56.33 | (648) e3 = e0
% 105.26/56.33 |
% 105.26/56.33 | Equations (648) can reduce 80 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (574) ~ (all_0_33_33 = e3)
% 105.26/56.33 | (3208) all_0_38_38 = e3
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (1846,3208) yields a new equation:
% 105.26/56.33 | (596) e4 = e3
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 596 yields:
% 105.26/56.33 | (597) e4 = e3
% 105.26/56.33 |
% 105.26/56.33 | Equations (597) can reduce 255 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.33 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3213), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (3208) all_0_38_38 = e3
% 105.26/56.33 |
% 105.26/56.33 | Equations (3208) can reduce 3095 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (3095) ~ (all_0_38_38 = e3)
% 105.26/56.33 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3217), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (3218) all_0_38_38 = e2
% 105.26/56.33 |
% 105.26/56.33 | Equations (3218) can reduce 2728 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (2728) ~ (all_0_38_38 = e2)
% 105.26/56.33 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (3221), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (3222) all_0_38_38 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (3222) can reduce 438 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (438) ~ (all_0_38_38 = e1)
% 105.26/56.33 | (3225) all_0_38_38 = e0
% 105.26/56.33 |
% 105.26/56.33 | Equations (3225) can reduce 540 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.33 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (1128), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (1129) all_0_37_37 = e2
% 105.26/56.33 |
% 105.26/56.33 | Equations (1129) can reduce 450 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (450) ~ (all_0_37_37 = e2)
% 105.26/56.33 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (1132), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (1112) all_0_37_37 = e1
% 105.26/56.33 |
% 105.26/56.33 | Equations (1112) can reduce 763 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.33 | (1136) all_0_37_37 = e0
% 105.26/56.33 |
% 105.26/56.33 | Equations (1136) can reduce 538 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 105.26/56.33 |
% 105.26/56.33 | Applying alpha-rule on (1469) yields:
% 105.26/56.33 | (1463) all_0_33_33 = e0
% 105.26/56.33 | (1252) all_0_39_39 = e1
% 105.26/56.33 | (540) ~ (all_0_38_38 = e0)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 94 to:
% 105.26/56.33 | (943) ~ (all_0_19_19 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 291 to:
% 105.26/56.33 | (2946) ~ (all_0_29_29 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 24 to:
% 105.26/56.33 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 231 to:
% 105.26/56.33 | (438) ~ (all_0_38_38 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 607 to:
% 105.26/56.33 | (764) ~ (e4 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 764 yields:
% 105.26/56.33 | (56) ~ (e4 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 571 to:
% 105.26/56.33 | (824) ~ (e3 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 824 yields:
% 105.26/56.33 | (298) ~ (e3 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 1250 to:
% 105.26/56.33 | (766) ~ (e2 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 766 yields:
% 105.26/56.33 | (310) ~ (e2 = e1)
% 105.26/56.33 |
% 105.26/56.33 | Equations (1252) can reduce 542 to:
% 105.26/56.33 | (40) ~ (e1 = e0)
% 105.26/56.33 |
% 105.26/56.33 +-Applying beta-rule and splitting (2780), into two cases.
% 105.26/56.33 |-Branch one:
% 105.26/56.33 | (2956) all_0_24_24 = e4
% 105.26/56.33 |
% 105.26/56.33 | Combining equations (2956,488) yields a new equation:
% 105.26/56.33 | (743) e4 = e0
% 105.26/56.33 |
% 105.26/56.33 | Simplifying 743 yields:
% 105.26/56.33 | (515) e4 = e0
% 105.26/56.33 |
% 105.26/56.33 | Equations (515) can reduce 267 to:
% 105.26/56.33 | (400) $false
% 105.26/56.33 |
% 105.26/56.33 |-The branch is then unsatisfiable
% 105.26/56.33 |-Branch two:
% 105.26/56.33 | (2960) ~ (all_0_24_24 = e4)
% 105.26/56.33 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 105.26/56.33 |
% 105.26/56.34 | Equations (488) can reduce 2960 to:
% 105.26/56.34 | (543) ~ (e4 = e0)
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 543 yields:
% 105.26/56.34 | (267) ~ (e4 = e0)
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (249), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (980) all_0_17_17 = e1
% 105.26/56.34 |
% 105.26/56.34 | Equations (980) can reduce 456 to:
% 105.26/56.34 | (764) ~ (e4 = e1)
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 764 yields:
% 105.26/56.34 | (56) ~ (e4 = e1)
% 105.26/56.34 |
% 105.26/56.34 | From (980) and (313) follows:
% 105.26/56.34 | (2967) op(e4, e2) = e1
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (142), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (855) all_0_17_17 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (980,855) yields a new equation:
% 105.26/56.34 | (928) e3 = e1
% 105.26/56.34 |
% 105.26/56.34 | Equations (928) can reduce 298 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.34 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.34 |
% 105.26/56.34 | Equations (980) can reduce 919 to:
% 105.26/56.34 | (824) ~ (e3 = e1)
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 824 yields:
% 105.26/56.34 | (298) ~ (e3 = e1)
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (1091), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (2975) all_0_36_36 = e4
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (534,2975) yields a new equation:
% 105.26/56.34 | (515) e4 = e0
% 105.26/56.34 |
% 105.26/56.34 | Equations (515) can reduce 267 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (466) ~ (all_0_36_36 = e4)
% 105.26/56.34 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (2979), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (847) all_0_37_37 = e4
% 105.26/56.34 |
% 105.26/56.34 | Equations (847) can reduce 1002 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.34 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (2983), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (1846) all_0_38_38 = e4
% 105.26/56.34 |
% 105.26/56.34 | Equations (1846) can reduce 2728 to:
% 105.26/56.34 | (21) ~ (e4 = e2)
% 105.26/56.34 |
% 105.26/56.34 | Equations (1846) can reduce 438 to:
% 105.26/56.34 | (56) ~ (e4 = e1)
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (203), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (696) ~ (all_0_39_39 = e1)
% 105.26/56.34 |
% 105.26/56.34 | Equations (1252) can reduce 696 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (1252) all_0_39_39 = e1
% 105.26/56.34 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (2961), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (941) all_0_29_29 = e4
% 105.26/56.34 |
% 105.26/56.34 | Equations (941) can reduce 47 to:
% 105.26/56.34 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (81), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (660) ~ (all_0_27_27 = e0)
% 105.26/56.34 |
% 105.26/56.34 | Equations (995) can reduce 660 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (995) all_0_27_27 = e0
% 105.26/56.34 | (2996) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (86), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (854) all_0_28_28 = e4
% 105.26/56.34 |
% 105.26/56.34 | Equations (854) can reduce 883 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.34 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (57), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (1698) all_0_25_25 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (1698,1495) yields a new equation:
% 105.26/56.34 | (1113) e3 = e1
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 1113 yields:
% 105.26/56.34 | (928) e3 = e1
% 105.26/56.34 |
% 105.26/56.34 | Equations (928) can reduce 298 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (577) ~ (all_0_25_25 = e3)
% 105.26/56.34 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (3006), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (3007) all_0_26_26 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (471,3007) yields a new equation:
% 105.26/56.34 | (615) e3 = e2
% 105.26/56.34 |
% 105.26/56.34 | Equations (615) can reduce 52 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (3010) ~ (all_0_26_26 = e3)
% 105.26/56.34 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (3011), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (808) all_0_27_27 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (995,808) yields a new equation:
% 105.26/56.34 | (648) e3 = e0
% 105.26/56.34 |
% 105.26/56.34 | Equations (648) can reduce 80 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (573) ~ (all_0_27_27 = e3)
% 105.26/56.34 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (3016), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (1106) all_0_28_28 = e3
% 105.26/56.34 |
% 105.26/56.34 | Equations (1106) can reduce 883 to:
% 105.26/56.34 | (558) ~ (e4 = e3)
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 558 yields:
% 105.26/56.34 | (255) ~ (e4 = e3)
% 105.26/56.34 |
% 105.26/56.34 | Equations (1106) can reduce 477 to:
% 105.26/56.34 | (52) ~ (e3 = e2)
% 105.26/56.34 |
% 105.26/56.34 | Equations (1106) can reduce 758 to:
% 105.26/56.34 | (80) ~ (e3 = e0)
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (920), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (921) all_0_22_22 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (921,442) yields a new equation:
% 105.26/56.34 | (614) e3 = e2
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 614 yields:
% 105.26/56.34 | (615) e3 = e2
% 105.26/56.34 |
% 105.26/56.34 | Equations (615) can reduce 52 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (925) ~ (all_0_22_22 = e3)
% 105.26/56.34 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (926), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (808) all_0_27_27 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (995,808) yields a new equation:
% 105.26/56.34 | (648) e3 = e0
% 105.26/56.34 |
% 105.26/56.34 | Equations (648) can reduce 80 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (573) ~ (all_0_27_27 = e3)
% 105.26/56.34 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (931), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (629) all_0_32_32 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (609,629) yields a new equation:
% 105.26/56.34 | (596) e4 = e3
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 596 yields:
% 105.26/56.34 | (597) e4 = e3
% 105.26/56.34 |
% 105.26/56.34 | Equations (597) can reduce 255 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (579) ~ (all_0_32_32 = e3)
% 105.26/56.34 | (936) all_0_37_37 = e3
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (2996), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (3039) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 105.26/56.34 |
% 105.26/56.34 +-Applying beta-rule and splitting (3039), into two cases.
% 105.26/56.34 |-Branch one:
% 105.26/56.34 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 105.26/56.34 |
% 105.26/56.34 | Applying alpha-rule on (3040) yields:
% 105.26/56.34 | (3041) all_0_7_7 = all_0_29_29
% 105.26/56.34 | (3042) ~ (all_0_6_6 = e1)
% 105.26/56.34 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 105.26/56.34 |
% 105.26/56.34 | From (941) and (3043) follows:
% 105.26/56.34 | (878) op(e4, e2) = all_0_6_6
% 105.26/56.34 |
% 105.26/56.34 | Instantiating formula (29) with e4, e2, e1, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e1, yields:
% 105.26/56.34 | (3045) all_0_6_6 = e1
% 105.26/56.34 |
% 105.26/56.34 | Equations (3045) can reduce 3042 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (3047) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)
% 105.26/56.34 |
% 105.26/56.34 | Applying alpha-rule on (3047) yields:
% 105.26/56.34 | (3041) all_0_7_7 = all_0_29_29
% 105.26/56.34 | (603) ~ (all_0_29_29 = e4)
% 105.26/56.34 |
% 105.26/56.34 | Equations (941) can reduce 603 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (3051) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3)
% 105.26/56.34 |
% 105.26/56.34 | Applying alpha-rule on (3051) yields:
% 105.26/56.34 | (3052) all_0_8_8 = all_0_37_37
% 105.26/56.34 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.34 |
% 105.26/56.34 | Equations (936) can reduce 1127 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.34 |-Branch two:
% 105.26/56.34 | (893) ~ (all_0_28_28 = e3)
% 105.26/56.34 | (3056) all_0_29_29 = e3
% 105.26/56.34 |
% 105.26/56.34 | Combining equations (941,3056) yields a new equation:
% 105.26/56.34 | (596) e4 = e3
% 105.26/56.34 |
% 105.26/56.34 | Simplifying 596 yields:
% 105.26/56.34 | (597) e4 = e3
% 105.26/56.34 |
% 105.26/56.34 | Equations (597) can reduce 255 to:
% 105.26/56.34 | (400) $false
% 105.26/56.34 |
% 105.26/56.34 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (603) ~ (all_0_29_29 = e4)
% 105.26/56.35 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (55), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (590) all_0_25_25 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1495,590) yields a new equation:
% 105.26/56.35 | (838) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (838) can reduce 56 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (505) ~ (all_0_25_25 = e4)
% 105.26/56.35 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.35 |
% 105.26/56.35 | Equations (1495) can reduce 505 to:
% 105.26/56.35 | (764) ~ (e4 = e1)
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 764 yields:
% 105.26/56.35 | (56) ~ (e4 = e1)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (3061), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (601) all_0_34_34 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (2551,601) yields a new equation:
% 105.26/56.35 | (798) e4 = e2
% 105.26/56.35 |
% 105.26/56.35 | Equations (798) can reduce 21 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (2554) ~ (all_0_34_34 = e4)
% 105.26/56.35 | (697) all_0_39_39 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1252,697) yields a new equation:
% 105.26/56.35 | (838) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (838) can reduce 56 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.35 | (697) all_0_39_39 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1252,697) yields a new equation:
% 105.26/56.35 | (838) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (838) can reduce 56 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.35 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (305), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (969) all_0_15_15 = e1
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (969,736) yields a new equation:
% 105.26/56.35 | (530) e1 = e0
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 530 yields:
% 105.26/56.35 | (531) e1 = e0
% 105.26/56.35 |
% 105.26/56.35 | Equations (531) can reduce 40 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (679) ~ (all_0_15_15 = e1)
% 105.26/56.35 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (59), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (847) all_0_37_37 = e4
% 105.26/56.35 |
% 105.26/56.35 | Equations (847) can reduce 1002 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.35 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (1007), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (936) all_0_37_37 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 282 to:
% 105.26/56.35 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 97 to:
% 105.26/56.35 | (3094) ~ (all_0_38_38 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 3094 yields:
% 105.26/56.35 | (3095) ~ (all_0_38_38 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 1002 to:
% 105.26/56.35 | (558) ~ (e4 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 558 yields:
% 105.26/56.35 | (255) ~ (e4 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 450 to:
% 105.26/56.35 | (52) ~ (e3 = e2)
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 763 to:
% 105.26/56.35 | (298) ~ (e3 = e1)
% 105.26/56.35 |
% 105.26/56.35 | Equations (936) can reduce 538 to:
% 105.26/56.35 | (80) ~ (e3 = e0)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (102), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (1147) all_0_18_18 = e3
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1147,1191) yields a new equation:
% 105.26/56.35 | (614) e3 = e2
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 614 yields:
% 105.26/56.35 | (615) e3 = e2
% 105.26/56.35 |
% 105.26/56.35 | Equations (615) can reduce 52 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (1189) ~ (all_0_18_18 = e3)
% 105.26/56.35 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (1742), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (3107) all_0_23_23 = e3
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (3107,427) yields a new equation:
% 105.26/56.35 | (1113) e3 = e1
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 1113 yields:
% 105.26/56.35 | (928) e3 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (928) can reduce 298 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (1361) ~ (all_0_23_23 = e3)
% 105.26/56.35 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (3112), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (1106) all_0_28_28 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (1106) can reduce 47 to:
% 105.26/56.35 | (3114) ~ (all_0_29_29 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 3114 yields:
% 105.26/56.35 | (3115) ~ (all_0_29_29 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Equations (1106) can reduce 477 to:
% 105.26/56.35 | (52) ~ (e3 = e2)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (2769), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (3117) all_0_16_16 = e3
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (454,3117) yields a new equation:
% 105.26/56.35 | (596) e4 = e3
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 596 yields:
% 105.26/56.35 | (597) e4 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (597) can reduce 255 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (3121) ~ (all_0_16_16 = e3)
% 105.26/56.35 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (454) can reduce 3121 to:
% 105.26/56.35 | (255) ~ (e4 = e3)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (55), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (590) all_0_25_25 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (590,1495) yields a new equation:
% 105.26/56.35 | (975) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 975 yields:
% 105.26/56.35 | (838) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (838) can reduce 56 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (505) ~ (all_0_25_25 = e4)
% 105.26/56.35 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (790), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (832) all_0_26_26 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (471,832) yields a new equation:
% 105.26/56.35 | (798) e4 = e2
% 105.26/56.35 |
% 105.26/56.35 | Equations (798) can reduce 21 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (464) ~ (all_0_26_26 = e4)
% 105.26/56.35 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (836), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (804) all_0_27_27 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (995,804) yields a new equation:
% 105.26/56.35 | (515) e4 = e0
% 105.26/56.35 |
% 105.26/56.35 | Equations (515) can reduce 267 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (785) ~ (all_0_27_27 = e4)
% 105.26/56.35 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (853), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (854) all_0_28_28 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1106,854) yields a new equation:
% 105.26/56.35 | (597) e4 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (597) can reduce 255 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.35 | (941) all_0_29_29 = e4
% 105.26/56.35 |
% 105.26/56.35 | Equations (941) can reduce 3115 to:
% 105.26/56.35 | (255) ~ (e4 = e3)
% 105.26/56.35 |
% 105.26/56.35 | Equations (941) can reduce 479 to:
% 105.26/56.35 | (21) ~ (e4 = e2)
% 105.26/56.35 |
% 105.26/56.35 | Equations (941) can reduce 2946 to:
% 105.26/56.35 | (56) ~ (e4 = e1)
% 105.26/56.35 |
% 105.26/56.35 | Equations (941) can reduce 493 to:
% 105.26/56.35 | (267) ~ (e4 = e0)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (147), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (1008) all_0_18_18 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1008,1191) yields a new equation:
% 105.26/56.35 | (1531) e4 = e2
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 1531 yields:
% 105.26/56.35 | (798) e4 = e2
% 105.26/56.35 |
% 105.26/56.35 | Equations (798) can reduce 21 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (458) ~ (all_0_18_18 = e4)
% 105.26/56.35 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (1012), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (1022) all_0_23_23 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1022,427) yields a new equation:
% 105.26/56.35 | (975) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 975 yields:
% 105.26/56.35 | (838) e4 = e1
% 105.26/56.35 |
% 105.26/56.35 | Equations (838) can reduce 56 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (1025) ~ (all_0_23_23 = e4)
% 105.26/56.35 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (1026), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (854) all_0_28_28 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1106,854) yields a new equation:
% 105.26/56.35 | (597) e4 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (597) can reduce 255 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (883) ~ (all_0_28_28 = e4)
% 105.26/56.35 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (1840), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (1322) all_0_33_33 = e4
% 105.26/56.35 |
% 105.26/56.35 | Combining equations (1322,1463) yields a new equation:
% 105.26/56.35 | (743) e4 = e0
% 105.26/56.35 |
% 105.26/56.35 | Simplifying 743 yields:
% 105.26/56.35 | (515) e4 = e0
% 105.26/56.35 |
% 105.26/56.35 | Equations (515) can reduce 267 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (594) ~ (all_0_33_33 = e4)
% 105.26/56.35 | (1846) all_0_38_38 = e4
% 105.26/56.35 |
% 105.26/56.35 | Equations (1846) can reduce 438 to:
% 105.26/56.35 | (56) ~ (e4 = e1)
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (3122), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.35 | (855) all_0_17_17 = e3
% 105.26/56.35 |
% 105.26/56.35 | Equations (855) can reduce 919 to:
% 105.26/56.35 | (400) $false
% 105.26/56.35 |
% 105.26/56.35 |-The branch is then unsatisfiable
% 105.26/56.35 |-Branch two:
% 105.26/56.35 | (919) ~ (all_0_17_17 = e3)
% 105.26/56.35 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 105.26/56.35 |
% 105.26/56.35 +-Applying beta-rule and splitting (3176), into two cases.
% 105.26/56.35 |-Branch one:
% 105.26/56.36 | (1147) all_0_18_18 = e3
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (1147,1191) yields a new equation:
% 105.26/56.36 | (614) e3 = e2
% 105.26/56.36 |
% 105.26/56.36 | Simplifying 614 yields:
% 105.26/56.36 | (615) e3 = e2
% 105.26/56.36 |
% 105.26/56.36 | Equations (615) can reduce 52 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (1189) ~ (all_0_18_18 = e3)
% 105.26/56.36 | (1159) all_0_19_19 = e3
% 105.26/56.36 |
% 105.26/56.36 | Equations (1159) can reduce 943 to:
% 105.26/56.36 | (298) ~ (e3 = e1)
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (973), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (974) all_0_16_16 = e1
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (974,454) yields a new equation:
% 105.26/56.36 | (838) e4 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (838) can reduce 56 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (415) ~ (all_0_16_16 = e1)
% 105.26/56.36 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (979), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (980) all_0_17_17 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (980) can reduce 817 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.36 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (983), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (984) all_0_18_18 = e1
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (984,1191) yields a new equation:
% 105.26/56.36 | (621) e2 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (621) can reduce 310 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (428) ~ (all_0_18_18 = e1)
% 105.26/56.36 | (829) all_0_19_19 = e1
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (829,1159) yields a new equation:
% 105.26/56.36 | (928) e3 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (928) can reduce 298 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (893) ~ (all_0_28_28 = e3)
% 105.26/56.36 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (333), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (1846) all_0_38_38 = e4
% 105.26/56.36 |
% 105.26/56.36 | Equations (1846) can reduce 3095 to:
% 105.26/56.36 | (255) ~ (e4 = e3)
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (3201), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (1360) all_0_33_33 = e3
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (1463,1360) yields a new equation:
% 105.26/56.36 | (648) e3 = e0
% 105.26/56.36 |
% 105.26/56.36 | Equations (648) can reduce 80 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (574) ~ (all_0_33_33 = e3)
% 105.26/56.36 | (3208) all_0_38_38 = e3
% 105.26/56.36 |
% 105.26/56.36 | Combining equations (1846,3208) yields a new equation:
% 105.26/56.36 | (596) e4 = e3
% 105.26/56.36 |
% 105.26/56.36 | Simplifying 596 yields:
% 105.26/56.36 | (597) e4 = e3
% 105.26/56.36 |
% 105.26/56.36 | Equations (597) can reduce 255 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.36 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (3213), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (3208) all_0_38_38 = e3
% 105.26/56.36 |
% 105.26/56.36 | Equations (3208) can reduce 3095 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (3095) ~ (all_0_38_38 = e3)
% 105.26/56.36 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (3217), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (3218) all_0_38_38 = e2
% 105.26/56.36 |
% 105.26/56.36 | Equations (3218) can reduce 2728 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (2728) ~ (all_0_38_38 = e2)
% 105.26/56.36 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (3221), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (3222) all_0_38_38 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (3222) can reduce 438 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (438) ~ (all_0_38_38 = e1)
% 105.26/56.36 | (3225) all_0_38_38 = e0
% 105.26/56.36 |
% 105.26/56.36 | Equations (3225) can reduce 540 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.36 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (1128), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (1129) all_0_37_37 = e2
% 105.26/56.36 |
% 105.26/56.36 | Equations (1129) can reduce 450 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (450) ~ (all_0_37_37 = e2)
% 105.26/56.36 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (1132), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (1112) all_0_37_37 = e1
% 105.26/56.36 |
% 105.26/56.36 | Equations (1112) can reduce 763 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.36 | (1136) all_0_37_37 = e0
% 105.26/56.36 |
% 105.26/56.36 | Equations (1136) can reduce 538 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (697) all_0_39_39 = e4
% 105.26/56.36 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 105.26/56.36 |
% 105.26/56.36 | Equations (697) can reduce 24 to:
% 105.26/56.36 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.36 |
% 105.26/56.36 | Equations (697) can reduce 231 to:
% 105.26/56.36 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (262), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (829) all_0_19_19 = e1
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (2763), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (3540) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 105.26/56.36 |
% 105.26/56.36 +-Applying beta-rule and splitting (3540), into two cases.
% 105.26/56.36 |-Branch one:
% 105.26/56.36 | (3541) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12
% 105.26/56.36 |
% 105.26/56.36 | Applying alpha-rule on (3541) yields:
% 105.26/56.36 | (3542) all_0_13_13 = all_0_19_19
% 105.26/56.36 | (1039) ~ (all_0_12_12 = e3)
% 105.26/56.36 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 105.26/56.36 |
% 105.26/56.36 | From (829) and (3544) follows:
% 105.26/56.36 | (1043) op(e1, e4) = all_0_12_12
% 105.26/56.36 |
% 105.26/56.36 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 105.26/56.36 | (1044) all_0_12_12 = e3
% 105.26/56.36 |
% 105.26/56.36 | Equations (1044) can reduce 1039 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.36 |-Branch two:
% 105.26/56.36 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 105.26/56.36 |
% 105.26/56.36 | Applying alpha-rule on (3548) yields:
% 105.26/56.36 | (3542) all_0_13_13 = all_0_19_19
% 105.26/56.36 | (943) ~ (all_0_19_19 = e1)
% 105.26/56.36 |
% 105.26/56.36 | Equations (829) can reduce 943 to:
% 105.26/56.36 | (400) $false
% 105.26/56.36 |
% 105.26/56.36 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (3552) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2)
% 105.26/56.37 |
% 105.26/56.37 | Applying alpha-rule on (3552) yields:
% 105.26/56.37 | (3553) all_0_14_14 = all_0_35_35
% 105.26/56.37 | (719) ~ (all_0_35_35 = e2)
% 105.26/56.37 |
% 105.26/56.37 | Equations (732) can reduce 719 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (943) ~ (all_0_19_19 = e1)
% 105.26/56.37 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (333), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (1846) all_0_38_38 = e4
% 105.26/56.37 |
% 105.26/56.37 | Equations (1846) can reduce 1835 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (1835) ~ (all_0_38_38 = e4)
% 105.26/56.37 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (3213), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (3208) all_0_38_38 = e3
% 105.26/56.37 |
% 105.26/56.37 | Equations (3208) can reduce 97 to:
% 105.26/56.37 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (305), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (969) all_0_15_15 = e1
% 105.26/56.37 |
% 105.26/56.37 | Combining equations (969,736) yields a new equation:
% 105.26/56.37 | (530) e1 = e0
% 105.26/56.37 |
% 105.26/56.37 | Simplifying 530 yields:
% 105.26/56.37 | (531) e1 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (531) can reduce 40 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (679) ~ (all_0_15_15 = e1)
% 105.26/56.37 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (59), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (847) all_0_37_37 = e4
% 105.26/56.37 |
% 105.26/56.37 | Equations (847) can reduce 1002 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (1002) ~ (all_0_37_37 = e4)
% 105.26/56.37 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1007), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (936) all_0_37_37 = e3
% 105.26/56.37 |
% 105.26/56.37 | Equations (936) can reduce 1127 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (1127) ~ (all_0_37_37 = e3)
% 105.26/56.37 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (973), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (974) all_0_16_16 = e1
% 105.26/56.37 |
% 105.26/56.37 | Combining equations (974,454) yields a new equation:
% 105.26/56.37 | (838) e4 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (838) can reduce 56 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (415) ~ (all_0_16_16 = e1)
% 105.26/56.37 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1128), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (1129) all_0_37_37 = e2
% 105.26/56.37 |
% 105.26/56.37 | Equations (1129) can reduce 450 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (450) ~ (all_0_37_37 = e2)
% 105.26/56.37 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1132), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (1112) all_0_37_37 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (1112) can reduce 282 to:
% 105.26/56.37 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.37 |
% 105.26/56.37 | Equations (1112) can reduce 450 to:
% 105.26/56.37 | (766) ~ (e2 = e1)
% 105.26/56.37 |
% 105.26/56.37 | Simplifying 766 yields:
% 105.26/56.37 | (310) ~ (e2 = e1)
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (979), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (980) all_0_17_17 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (980) can reduce 817 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (817) ~ (all_0_17_17 = e1)
% 105.26/56.37 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (983), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (984) all_0_18_18 = e1
% 105.26/56.37 |
% 105.26/56.37 | Combining equations (984,1191) yields a new equation:
% 105.26/56.37 | (621) e2 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (621) can reduce 310 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (428) ~ (all_0_18_18 = e1)
% 105.26/56.37 | (829) all_0_19_19 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (829) can reduce 943 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.37 | (1136) all_0_37_37 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (1136) can reduce 538 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (3095) ~ (all_0_38_38 = e3)
% 105.26/56.37 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (3217), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (3218) all_0_38_38 = e2
% 105.26/56.37 |
% 105.26/56.37 | Equations (3218) can reduce 2728 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (2728) ~ (all_0_38_38 = e2)
% 105.26/56.37 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (3221), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (3222) all_0_38_38 = e1
% 105.26/56.37 |
% 105.26/56.37 | Equations (3222) can reduce 438 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (438) ~ (all_0_38_38 = e1)
% 105.26/56.37 | (3225) all_0_38_38 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (3225) can reduce 540 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (719) ~ (all_0_35_35 = e2)
% 105.26/56.37 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1539), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (613) all_0_30_30 = e2
% 105.26/56.37 |
% 105.26/56.37 | Combining equations (575,613) yields a new equation:
% 105.26/56.37 | (614) e3 = e2
% 105.26/56.37 |
% 105.26/56.37 | Simplifying 614 yields:
% 105.26/56.37 | (615) e3 = e2
% 105.26/56.37 |
% 105.26/56.37 | Equations (615) can reduce 52 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (617) ~ (all_0_30_30 = e2)
% 105.26/56.37 | (732) all_0_35_35 = e2
% 105.26/56.37 |
% 105.26/56.37 | Equations (732) can reduce 719 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (638) ~ (all_0_18_18 = e2)
% 105.26/56.37 | (1163) all_0_19_19 = e2
% 105.26/56.37 |
% 105.26/56.37 | Equations (1163) can reduce 706 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (1519) ~ (all_0_25_25 = e1)
% 105.26/56.37 | (749) all_0_25_25 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (749) can reduce 1054 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (739) ~ (all_0_15_15 = e0)
% 105.26/56.37 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1207), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (514) all_0_16_16 = e0
% 105.26/56.37 |
% 105.26/56.37 | Combining equations (514,454) yields a new equation:
% 105.26/56.37 | (515) e4 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (515) can reduce 267 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (517) ~ (all_0_16_16 = e0)
% 105.26/56.37 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1212), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (1184) all_0_17_17 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (1184) can reduce 659 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (659) ~ (all_0_17_17 = e0)
% 105.26/56.37 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 105.26/56.37 |
% 105.26/56.37 +-Applying beta-rule and splitting (1216), into two cases.
% 105.26/56.37 |-Branch one:
% 105.26/56.37 | (756) all_0_18_18 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (756) can reduce 1141 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.37 |-Branch two:
% 105.26/56.37 | (1141) ~ (all_0_18_18 = e0)
% 105.26/56.37 | (1187) all_0_19_19 = e0
% 105.26/56.37 |
% 105.26/56.37 | Equations (1187) can reduce 489 to:
% 105.26/56.37 | (400) $false
% 105.26/56.37 |
% 105.26/56.37 |-The branch is then unsatisfiable
% 105.26/56.38 |-Branch two:
% 105.26/56.38 | (816) all_0_27_27 = e1
% 105.26/56.38 | (3647) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 105.26/56.38 |
% 105.26/56.38 | Equations (816) can reduce 122 to:
% 105.26/56.38 | (1519) ~ (all_0_25_25 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Equations (816) can reduce 167 to:
% 105.26/56.38 | (762) ~ (all_0_37_37 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 762 yields:
% 105.26/56.38 | (763) ~ (all_0_37_37 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Equations (816) can reduce 785 to:
% 105.26/56.38 | (764) ~ (e4 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 764 yields:
% 105.26/56.38 | (56) ~ (e4 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Equations (816) can reduce 475 to:
% 105.26/56.38 | (766) ~ (e2 = e1)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 766 yields:
% 105.26/56.38 | (310) ~ (e2 = e1)
% 105.26/56.38 |
% 105.26/56.38 +-Applying beta-rule and splitting (327), into two cases.
% 105.26/56.38 |-Branch one:
% 105.26/56.38 | (1184) all_0_17_17 = e0
% 105.26/56.38 |
% 105.26/56.38 | Equations (1184) can reduce 344 to:
% 105.26/56.38 | (739) ~ (all_0_15_15 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (1184) can reduce 131 to:
% 105.26/56.38 | (3657) ~ (all_0_19_19 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 3657 yields:
% 105.26/56.38 | (489) ~ (all_0_19_19 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (1184) can reduce 282 to:
% 105.26/56.38 | (537) ~ (all_0_37_37 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 537 yields:
% 105.26/56.38 | (538) ~ (all_0_37_37 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (1184) can reduce 456 to:
% 105.26/56.38 | (543) ~ (e4 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 543 yields:
% 105.26/56.38 | (267) ~ (e4 = e0)
% 105.26/56.38 |
% 105.26/56.38 +-Applying beta-rule and splitting (123), into two cases.
% 105.26/56.38 |-Branch one:
% 105.26/56.38 | (736) all_0_15_15 = e0
% 105.26/56.38 |
% 105.26/56.38 | Equations (736) can reduce 739 to:
% 105.26/56.38 | (400) $false
% 105.26/56.38 |
% 105.26/56.38 |-The branch is then unsatisfiable
% 105.26/56.38 |-Branch two:
% 105.26/56.38 | (739) ~ (all_0_15_15 = e0)
% 105.26/56.38 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.26/56.38 |
% 105.26/56.38 +-Applying beta-rule and splitting (740), into two cases.
% 105.26/56.38 |-Branch one:
% 105.26/56.38 | (742) all_0_20_20 = e0
% 105.26/56.38 |
% 105.26/56.38 | Combining equations (742,500) yields a new equation:
% 105.26/56.38 | (515) e4 = e0
% 105.26/56.38 |
% 105.26/56.38 | Equations (515) can reduce 267 to:
% 105.26/56.38 | (400) $false
% 105.26/56.38 |
% 105.26/56.38 |-The branch is then unsatisfiable
% 105.26/56.38 |-Branch two:
% 105.26/56.38 | (490) ~ (all_0_20_20 = e0)
% 105.26/56.38 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.26/56.38 |
% 105.26/56.38 +-Applying beta-rule and splitting (747), into two cases.
% 105.26/56.38 |-Branch one:
% 105.26/56.38 | (749) all_0_25_25 = e0
% 105.26/56.38 |
% 105.26/56.38 | Equations (749) can reduce 42 to:
% 105.26/56.38 | (739) ~ (all_0_15_15 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (749) can reduce 194 to:
% 105.26/56.38 | (752) ~ (all_0_35_35 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 752 yields:
% 105.26/56.38 | (536) ~ (all_0_35_35 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (749) can reduce 505 to:
% 105.26/56.38 | (543) ~ (e4 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 543 yields:
% 105.26/56.38 | (267) ~ (e4 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (749) can reduce 473 to:
% 105.26/56.38 | (496) ~ (e2 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 496 yields:
% 105.26/56.38 | (336) ~ (e2 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Equations (749) can reduce 1519 to:
% 105.26/56.38 | (498) ~ (e1 = e0)
% 105.26/56.38 |
% 105.26/56.38 | Simplifying 498 yields:
% 105.26/56.38 | (40) ~ (e1 = e0)
% 105.26/56.38 |
% 105.26/56.38 | From (749) and (311) follows:
% 105.26/56.38 | (3682) op(e2, e4) = e0
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (59), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (847) all_0_37_37 = e4
% 105.57/56.38 |
% 105.57/56.38 | Equations (847) can reduce 1002 to:
% 105.57/56.38 | (400) $false
% 105.57/56.38 |
% 105.57/56.38 |-The branch is then unsatisfiable
% 105.57/56.38 |-Branch two:
% 105.57/56.38 | (1002) ~ (all_0_37_37 = e4)
% 105.57/56.38 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1007), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (936) all_0_37_37 = e3
% 105.57/56.38 |
% 105.57/56.38 | Equations (936) can reduce 309 to:
% 105.57/56.38 | (585) ~ (all_0_35_35 = e3)
% 105.57/56.38 |
% 105.57/56.38 | Equations (936) can reduce 1002 to:
% 105.57/56.38 | (558) ~ (e4 = e3)
% 105.57/56.38 |
% 105.57/56.38 | Simplifying 558 yields:
% 105.57/56.38 | (255) ~ (e4 = e3)
% 105.57/56.38 |
% 105.57/56.38 | Equations (936) can reduce 538 to:
% 105.57/56.38 | (80) ~ (e3 = e0)
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (251), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1278), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1279), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1280), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1281), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1282), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1283), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 105.57/56.38 |
% 105.57/56.38 +-Applying beta-rule and splitting (1284), into two cases.
% 105.57/56.38 |-Branch one:
% 105.57/56.38 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 105.57/56.38 |
% 105.57/56.39 +-Applying beta-rule and splitting (1285), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1286), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1287), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1288), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1289), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1290), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1291), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1292), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1293), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1294), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 105.57/56.39 |
% 105.57/56.39 +-Applying beta-rule and splitting (1295), into two cases.
% 105.57/56.39 |-Branch one:
% 105.57/56.39 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1296) yields:
% 105.57/56.39 | (1297) all_0_15_15 = e3
% 105.57/56.39 | (550) all_0_21_21 = e4
% 105.57/56.39 | (1299) ~ (all_0_16_16 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (550,557) yields a new equation:
% 105.57/56.39 | (596) e4 = e3
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 596 yields:
% 105.57/56.39 | (597) e4 = e3
% 105.57/56.39 |
% 105.57/56.39 | Equations (597) can reduce 255 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1303) yields:
% 105.57/56.39 | (1297) all_0_15_15 = e3
% 105.57/56.39 | (550) all_0_21_21 = e4
% 105.57/56.39 | (1306) ~ (all_0_20_20 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (550,557) yields a new equation:
% 105.57/56.39 | (596) e4 = e3
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 596 yields:
% 105.57/56.39 | (597) e4 = e3
% 105.57/56.39 |
% 105.57/56.39 | Equations (597) can reduce 255 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1310) yields:
% 105.57/56.39 | (711) all_0_15_15 = e2
% 105.57/56.39 | (804) all_0_27_27 = e4
% 105.57/56.39 | (456) ~ (all_0_17_17 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (816,804) yields a new equation:
% 105.57/56.39 | (838) e4 = e1
% 105.57/56.39 |
% 105.57/56.39 | Equations (838) can reduce 56 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1315) yields:
% 105.57/56.39 | (711) all_0_15_15 = e2
% 105.57/56.39 | (804) all_0_27_27 = e4
% 105.57/56.39 | (473) ~ (all_0_25_25 = e2)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (816,804) yields a new equation:
% 105.57/56.39 | (838) e4 = e1
% 105.57/56.39 |
% 105.57/56.39 | Equations (838) can reduce 56 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1320) yields:
% 105.57/56.39 | (969) all_0_15_15 = e1
% 105.57/56.39 | (1322) all_0_33_33 = e4
% 105.57/56.39 | (458) ~ (all_0_18_18 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (1322,1463) yields a new equation:
% 105.57/56.39 | (743) e4 = e0
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 743 yields:
% 105.57/56.39 | (515) e4 = e0
% 105.57/56.39 |
% 105.57/56.39 | Equations (515) can reduce 267 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1326) yields:
% 105.57/56.39 | (969) all_0_15_15 = e1
% 105.57/56.39 | (1322) all_0_33_33 = e4
% 105.57/56.39 | (417) ~ (all_0_30_30 = e1)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (1322,1463) yields a new equation:
% 105.57/56.39 | (743) e4 = e0
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 743 yields:
% 105.57/56.39 | (515) e4 = e0
% 105.57/56.39 |
% 105.57/56.39 | Equations (515) can reduce 267 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1332) yields:
% 105.57/56.39 | (736) all_0_15_15 = e0
% 105.57/56.39 | (697) all_0_39_39 = e4
% 105.57/56.39 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.39 |
% 105.57/56.39 | Equations (736) can reduce 739 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1339) yields:
% 105.57/56.39 | (736) all_0_15_15 = e0
% 105.57/56.39 | (697) all_0_39_39 = e4
% 105.57/56.39 | (536) ~ (all_0_35_35 = e0)
% 105.57/56.39 |
% 105.57/56.39 | Equations (736) can reduce 739 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1346) yields:
% 105.57/56.39 | (1347) all_0_21_21 = e2
% 105.57/56.39 | (808) all_0_27_27 = e3
% 105.57/56.39 | (925) ~ (all_0_22_22 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (557,1347) yields a new equation:
% 105.57/56.39 | (614) e3 = e2
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 614 yields:
% 105.57/56.39 | (615) e3 = e2
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (808,816) yields a new equation:
% 105.57/56.39 | (1113) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 1113 yields:
% 105.57/56.39 | (928) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (615,928) yields a new equation:
% 105.57/56.39 | (620) e2 = e1
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 620 yields:
% 105.57/56.39 | (621) e2 = e1
% 105.57/56.39 |
% 105.57/56.39 | Equations (621) can reduce 310 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1352) yields:
% 105.57/56.39 | (1347) all_0_21_21 = e2
% 105.57/56.39 | (808) all_0_27_27 = e3
% 105.57/56.39 | (1355) ~ (all_0_26_26 = e2)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (557,1347) yields a new equation:
% 105.57/56.39 | (614) e3 = e2
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 614 yields:
% 105.57/56.39 | (615) e3 = e2
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (808,816) yields a new equation:
% 105.57/56.39 | (1113) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 1113 yields:
% 105.57/56.39 | (928) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (615,928) yields a new equation:
% 105.57/56.39 | (620) e2 = e1
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 620 yields:
% 105.57/56.39 | (621) e2 = e1
% 105.57/56.39 |
% 105.57/56.39 | Equations (621) can reduce 310 to:
% 105.57/56.39 | (400) $false
% 105.57/56.39 |
% 105.57/56.39 |-The branch is then unsatisfiable
% 105.57/56.39 |-Branch two:
% 105.57/56.39 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Applying alpha-rule on (1358) yields:
% 105.57/56.39 | (1359) all_0_21_21 = e1
% 105.57/56.39 | (1360) all_0_33_33 = e3
% 105.57/56.39 | (1361) ~ (all_0_23_23 = e3)
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (557,1359) yields a new equation:
% 105.57/56.39 | (1113) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 1113 yields:
% 105.57/56.39 | (928) e3 = e1
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (1360,1463) yields a new equation:
% 105.57/56.39 | (647) e3 = e0
% 105.57/56.39 |
% 105.57/56.39 | Simplifying 647 yields:
% 105.57/56.39 | (648) e3 = e0
% 105.57/56.39 |
% 105.57/56.39 | Combining equations (928,648) yields a new equation:
% 105.57/56.40 | (530) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 530 yields:
% 105.57/56.40 | (531) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (531) can reduce 40 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1367) yields:
% 105.57/56.40 | (1359) all_0_21_21 = e1
% 105.57/56.40 | (1360) all_0_33_33 = e3
% 105.57/56.40 | (1370) ~ (all_0_31_31 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (557,1359) yields a new equation:
% 105.57/56.40 | (1113) e3 = e1
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 1113 yields:
% 105.57/56.40 | (928) e3 = e1
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1360,1463) yields a new equation:
% 105.57/56.40 | (647) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 647 yields:
% 105.57/56.40 | (648) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (928,648) yields a new equation:
% 105.57/56.40 | (530) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 530 yields:
% 105.57/56.40 | (531) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (531) can reduce 40 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1376) yields:
% 105.57/56.40 | (519) all_0_21_21 = e0
% 105.57/56.40 | (701) all_0_39_39 = e3
% 105.57/56.40 | (1379) ~ (all_0_24_24 = e3)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (557,519) yields a new equation:
% 105.57/56.40 | (647) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 647 yields:
% 105.57/56.40 | (648) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (648) can reduce 80 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1385) yields:
% 105.57/56.40 | (519) all_0_21_21 = e0
% 105.57/56.40 | (701) all_0_39_39 = e3
% 105.57/56.40 | (1388) ~ (all_0_36_36 = e0)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (557,519) yields a new equation:
% 105.57/56.40 | (647) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 647 yields:
% 105.57/56.40 | (648) e3 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (648) can reduce 80 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1394) yields:
% 105.57/56.40 | (816) all_0_27_27 = e1
% 105.57/56.40 | (637) all_0_33_33 = e2
% 105.57/56.40 | (477) ~ (all_0_28_28 = e2)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1463,637) yields a new equation:
% 105.57/56.40 | (525) e2 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (525) can reduce 336 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1421) yields:
% 105.57/56.40 | (816) all_0_27_27 = e1
% 105.57/56.40 | (637) all_0_33_33 = e2
% 105.57/56.40 | (419) ~ (all_0_32_32 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1463,637) yields a new equation:
% 105.57/56.40 | (525) e2 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (525) can reduce 336 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1448) yields:
% 105.57/56.40 | (995) all_0_27_27 = e0
% 105.57/56.40 | (705) all_0_39_39 = e2
% 105.57/56.40 | (479) ~ (all_0_29_29 = e2)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (995,816) yields a new equation:
% 105.57/56.40 | (531) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (531) can reduce 40 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1455) yields:
% 105.57/56.40 | (995) all_0_27_27 = e0
% 105.57/56.40 | (705) all_0_39_39 = e2
% 105.57/56.40 | (538) ~ (all_0_37_37 = e0)
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (995,816) yields a new equation:
% 105.57/56.40 | (531) e1 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (531) can reduce 40 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1462) yields:
% 105.57/56.40 | (1463) all_0_33_33 = e0
% 105.57/56.40 | (1252) all_0_39_39 = e1
% 105.57/56.40 | (421) ~ (all_0_34_34 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (1252) can reduce 94 to:
% 105.57/56.40 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (1252) can reduce 1250 to:
% 105.57/56.40 | (766) ~ (e2 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 766 yields:
% 105.57/56.40 | (310) ~ (e2 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (1252) can reduce 542 to:
% 105.57/56.40 | (40) ~ (e1 = e0)
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (114), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (969) all_0_15_15 = e1
% 105.57/56.40 |
% 105.57/56.40 | Equations (969) can reduce 90 to:
% 105.57/56.40 | (1549) ~ (all_0_18_18 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 1549 yields:
% 105.57/56.40 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (969) can reduce 319 to:
% 105.57/56.40 | (3853) ~ (all_0_19_19 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 3853 yields:
% 105.57/56.40 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (969) can reduce 39 to:
% 105.57/56.40 | (3855) ~ (all_0_35_35 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 3855 yields:
% 105.57/56.40 | (1138) ~ (all_0_35_35 = e1)
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (160), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (711) all_0_15_15 = e2
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (711,969) yields a new equation:
% 105.57/56.40 | (620) e2 = e1
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 620 yields:
% 105.57/56.40 | (621) e2 = e1
% 105.57/56.40 |
% 105.57/56.40 | Equations (621) can reduce 310 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (769) ~ (all_0_15_15 = e2)
% 105.57/56.40 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (290), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (969) can reduce 679 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (969) all_0_15_15 = e1
% 105.57/56.40 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1781), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1782), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1783) yields:
% 105.57/56.40 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.40 | (1785) ~ (all_0_12_12 = e2)
% 105.57/56.40 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (248), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (724) all_0_35_35 = e4
% 105.57/56.40 |
% 105.57/56.40 | Equations (724) can reduce 509 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.40 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (332), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1151) all_0_19_19 = e4
% 105.57/56.40 |
% 105.57/56.40 | Equations (1151) can reduce 460 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.40 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1235), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1236) all_0_16_16 = e2
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1236,454) yields a new equation:
% 105.57/56.40 | (798) e4 = e2
% 105.57/56.40 |
% 105.57/56.40 | Equations (798) can reduce 21 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (1239) ~ (all_0_16_16 = e2)
% 105.57/56.40 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1240), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1177) all_0_17_17 = e2
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1184,1177) yields a new equation:
% 105.57/56.40 | (525) e2 = e0
% 105.57/56.40 |
% 105.57/56.40 | Equations (525) can reduce 336 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (396) ~ (all_0_17_17 = e2)
% 105.57/56.40 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1154), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1159) all_0_19_19 = e3
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (128), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (724) all_0_35_35 = e4
% 105.57/56.40 |
% 105.57/56.40 | Equations (724) can reduce 509 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.40 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (727), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (728) all_0_35_35 = e3
% 105.57/56.40 |
% 105.57/56.40 | Equations (728) can reduce 585 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (585) ~ (all_0_35_35 = e3)
% 105.57/56.40 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (731), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (732) all_0_35_35 = e2
% 105.57/56.40 |
% 105.57/56.40 | Equations (732) can reduce 585 to:
% 105.57/56.40 | (643) ~ (e3 = e2)
% 105.57/56.40 |
% 105.57/56.40 | Simplifying 643 yields:
% 105.57/56.40 | (52) ~ (e3 = e2)
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (54), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1191) all_0_18_18 = e2
% 105.57/56.40 |
% 105.57/56.40 | Combining equations (1191,1565) yields a new equation:
% 105.57/56.40 | (3903) all_0_13_13 = e2
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (212), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.40 |
% 105.57/56.40 | Equations (969) can reduce 679 to:
% 105.57/56.40 | (400) $false
% 105.57/56.40 |
% 105.57/56.40 |-The branch is then unsatisfiable
% 105.57/56.40 |-Branch two:
% 105.57/56.40 | (969) all_0_15_15 = e1
% 105.57/56.40 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1548), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1563) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.40 |
% 105.57/56.40 +-Applying beta-rule and splitting (1563), into two cases.
% 105.57/56.40 |-Branch one:
% 105.57/56.40 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.40 |
% 105.57/56.40 | Applying alpha-rule on (1564) yields:
% 105.57/56.40 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.41 | (1566) ~ (all_0_12_12 = e0)
% 105.57/56.41 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.41 | (3913) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Simplifying 3913 yields:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | From (1191) and (1567) follows:
% 105.57/56.41 | (3915) op(e2, e4) = all_0_12_12
% 105.57/56.41 |
% 105.57/56.41 | Instantiating formula (29) with e2, e4, e0, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e0, yields:
% 105.57/56.41 | (3916) all_0_12_12 = e0
% 105.57/56.41 |
% 105.57/56.41 | Equations (3916) can reduce 1566 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (2052) yields:
% 105.57/56.41 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.41 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.41 | (3913) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Simplifying 3913 yields:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Equations (1191) can reduce 638 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (1798) yields:
% 105.57/56.41 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.41 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.41 |
% 105.57/56.41 | Equations (575) can reduce 1800 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.41 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1244), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Equations (1191) can reduce 638 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.41 | (1163) all_0_19_19 = e2
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1163,1159) yields a new equation:
% 105.57/56.41 | (615) e3 = e2
% 105.57/56.41 |
% 105.57/56.41 | Equations (615) can reduce 52 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.41 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (735), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (761) all_0_35_35 = e1
% 105.57/56.41 |
% 105.57/56.41 | Equations (761) can reduce 1138 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1138) ~ (all_0_35_35 = e1)
% 105.57/56.41 | (1139) all_0_35_35 = e0
% 105.57/56.41 |
% 105.57/56.41 | Equations (1139) can reduce 536 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1150) ~ (all_0_19_19 = e3)
% 105.57/56.41 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1162), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1163) all_0_19_19 = e2
% 105.57/56.41 |
% 105.57/56.41 | Equations (1163) can reduce 706 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.41 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1166), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (829) all_0_19_19 = e1
% 105.57/56.41 |
% 105.57/56.41 | Equations (829) can reduce 943 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.41 | (1187) all_0_19_19 = e0
% 105.57/56.41 |
% 105.57/56.41 | Equations (1187) can reduce 489 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (1792) yields:
% 105.57/56.41 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.41 | (1141) ~ (all_0_18_18 = e0)
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (212), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.41 |
% 105.57/56.41 | Equations (969) can reduce 679 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (969) all_0_15_15 = e1
% 105.57/56.41 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (332), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1151) all_0_19_19 = e4
% 105.57/56.41 |
% 105.57/56.41 | Equations (1151) can reduce 460 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.41 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1154), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1159) all_0_19_19 = e3
% 105.57/56.41 |
% 105.57/56.41 | Equations (1159) can reduce 172 to:
% 105.57/56.41 | (1189) ~ (all_0_18_18 = e3)
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (342), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1008) all_0_18_18 = e4
% 105.57/56.41 |
% 105.57/56.41 | Equations (1008) can reduce 458 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (458) ~ (all_0_18_18 = e4)
% 105.57/56.41 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1146), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1147) all_0_18_18 = e3
% 105.57/56.41 |
% 105.57/56.41 | Equations (1147) can reduce 1189 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1189) ~ (all_0_18_18 = e3)
% 105.57/56.41 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1190), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1191,1565) yields a new equation:
% 105.57/56.41 | (3903) all_0_13_13 = e2
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1548), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1563) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.41 |
% 105.57/56.41 +-Applying beta-rule and splitting (1563), into two cases.
% 105.57/56.41 |-Branch one:
% 105.57/56.41 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (1564) yields:
% 105.57/56.41 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.41 | (1566) ~ (all_0_12_12 = e0)
% 105.57/56.41 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.41 | (3913) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Simplifying 3913 yields:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | From (1191) and (1567) follows:
% 105.57/56.41 | (3915) op(e2, e4) = all_0_12_12
% 105.57/56.41 |
% 105.57/56.41 | Instantiating formula (29) with e2, e4, e0, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e0, yields:
% 105.57/56.41 | (3916) all_0_12_12 = e0
% 105.57/56.41 |
% 105.57/56.41 | Equations (3916) can reduce 1566 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (2052) yields:
% 105.57/56.41 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.41 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.41 |
% 105.57/56.41 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.41 | (3913) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Simplifying 3913 yields:
% 105.57/56.41 | (1191) all_0_18_18 = e2
% 105.57/56.41 |
% 105.57/56.41 | Equations (1191) can reduce 638 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.41 |
% 105.57/56.41 | Applying alpha-rule on (1798) yields:
% 105.57/56.41 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.41 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.41 |
% 105.57/56.41 | Equations (575) can reduce 1800 to:
% 105.57/56.41 | (400) $false
% 105.57/56.41 |
% 105.57/56.41 |-The branch is then unsatisfiable
% 105.57/56.41 |-Branch two:
% 105.57/56.41 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.41 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1194), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (984) all_0_18_18 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (984) can reduce 428 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.42 | (756) all_0_18_18 = e0
% 105.57/56.42 |
% 105.57/56.42 | Equations (756) can reduce 1141 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (1150) ~ (all_0_19_19 = e3)
% 105.57/56.42 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1162), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1163) all_0_19_19 = e2
% 105.57/56.42 |
% 105.57/56.42 | Equations (1163) can reduce 706 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.42 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1166), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (829) all_0_19_19 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (829) can reduce 943 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.42 | (1187) all_0_19_19 = e0
% 105.57/56.42 |
% 105.57/56.42 | Equations (1187) can reduce 489 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.42 |
% 105.57/56.42 | Applying alpha-rule on (1798) yields:
% 105.57/56.42 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.42 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.42 |
% 105.57/56.42 | Equations (575) can reduce 1800 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.42 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (305), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (969) all_0_15_15 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 679 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.42 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (973), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (974) all_0_16_16 = e1
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (454,974) yields a new equation:
% 105.57/56.42 | (975) e4 = e1
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 975 yields:
% 105.57/56.42 | (838) e4 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (838) can reduce 56 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (415) ~ (all_0_16_16 = e1)
% 105.57/56.42 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (979), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (980) all_0_17_17 = e1
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (980,1184) yields a new equation:
% 105.57/56.42 | (530) e1 = e0
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 530 yields:
% 105.57/56.42 | (531) e1 = e0
% 105.57/56.42 |
% 105.57/56.42 | Equations (531) can reduce 40 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (817) ~ (all_0_17_17 = e1)
% 105.57/56.42 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (983), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (984) all_0_18_18 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (984) can reduce 428 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.42 | (829) all_0_19_19 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (829) can reduce 943 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 105.57/56.42 |
% 105.57/56.42 | Applying alpha-rule on (1469) yields:
% 105.57/56.42 | (1463) all_0_33_33 = e0
% 105.57/56.42 | (1252) all_0_39_39 = e1
% 105.57/56.42 | (540) ~ (all_0_38_38 = e0)
% 105.57/56.42 |
% 105.57/56.42 | Equations (1252) can reduce 94 to:
% 105.57/56.42 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (1252) can reduce 1250 to:
% 105.57/56.42 | (766) ~ (e2 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 766 yields:
% 105.57/56.42 | (310) ~ (e2 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (1252) can reduce 542 to:
% 105.57/56.42 | (40) ~ (e1 = e0)
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (114), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (969) all_0_15_15 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 90 to:
% 105.57/56.42 | (1549) ~ (all_0_18_18 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 1549 yields:
% 105.57/56.42 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 319 to:
% 105.57/56.42 | (3853) ~ (all_0_19_19 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 3853 yields:
% 105.57/56.42 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 39 to:
% 105.57/56.42 | (3855) ~ (all_0_35_35 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 3855 yields:
% 105.57/56.42 | (1138) ~ (all_0_35_35 = e1)
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (160), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (711) all_0_15_15 = e2
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (711,969) yields a new equation:
% 105.57/56.42 | (620) e2 = e1
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 620 yields:
% 105.57/56.42 | (621) e2 = e1
% 105.57/56.42 |
% 105.57/56.42 | Equations (621) can reduce 310 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (769) ~ (all_0_15_15 = e2)
% 105.57/56.42 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (290), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 679 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (969) all_0_15_15 = e1
% 105.57/56.42 | (1781) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1781), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1782) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1782), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.42 |
% 105.57/56.42 | Applying alpha-rule on (1783) yields:
% 105.57/56.42 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.42 | (1785) ~ (all_0_12_12 = e2)
% 105.57/56.42 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (248), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (724) all_0_35_35 = e4
% 105.57/56.42 |
% 105.57/56.42 | Equations (724) can reduce 509 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.42 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (332), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1151) all_0_19_19 = e4
% 105.57/56.42 |
% 105.57/56.42 | Equations (1151) can reduce 460 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.42 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1235), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1236) all_0_16_16 = e2
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (1236,454) yields a new equation:
% 105.57/56.42 | (798) e4 = e2
% 105.57/56.42 |
% 105.57/56.42 | Equations (798) can reduce 21 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (1239) ~ (all_0_16_16 = e2)
% 105.57/56.42 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1240), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1177) all_0_17_17 = e2
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (1184,1177) yields a new equation:
% 105.57/56.42 | (525) e2 = e0
% 105.57/56.42 |
% 105.57/56.42 | Equations (525) can reduce 336 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (396) ~ (all_0_17_17 = e2)
% 105.57/56.42 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1154), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1159) all_0_19_19 = e3
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (128), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (724) all_0_35_35 = e4
% 105.57/56.42 |
% 105.57/56.42 | Equations (724) can reduce 509 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.42 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (727), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (728) all_0_35_35 = e3
% 105.57/56.42 |
% 105.57/56.42 | Equations (728) can reduce 585 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (585) ~ (all_0_35_35 = e3)
% 105.57/56.42 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (731), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (732) all_0_35_35 = e2
% 105.57/56.42 |
% 105.57/56.42 | Equations (732) can reduce 585 to:
% 105.57/56.42 | (643) ~ (e3 = e2)
% 105.57/56.42 |
% 105.57/56.42 | Simplifying 643 yields:
% 105.57/56.42 | (52) ~ (e3 = e2)
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (54), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1191) all_0_18_18 = e2
% 105.57/56.42 |
% 105.57/56.42 | Combining equations (1191,1565) yields a new equation:
% 105.57/56.42 | (3903) all_0_13_13 = e2
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (212), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.42 |
% 105.57/56.42 | Equations (969) can reduce 679 to:
% 105.57/56.42 | (400) $false
% 105.57/56.42 |
% 105.57/56.42 |-The branch is then unsatisfiable
% 105.57/56.42 |-Branch two:
% 105.57/56.42 | (969) all_0_15_15 = e1
% 105.57/56.42 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.42 |
% 105.57/56.42 +-Applying beta-rule and splitting (1548), into two cases.
% 105.57/56.42 |-Branch one:
% 105.57/56.42 | (1563) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.42 |
% 105.57/56.43 +-Applying beta-rule and splitting (1563), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (1564) yields:
% 105.57/56.43 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.43 | (1566) ~ (all_0_12_12 = e0)
% 105.57/56.43 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.43 | (3913) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Simplifying 3913 yields:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | From (1191) and (1567) follows:
% 105.57/56.43 | (3915) op(e2, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Instantiating formula (29) with e2, e4, e0, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e0, yields:
% 105.57/56.43 | (3916) all_0_12_12 = e0
% 105.57/56.43 |
% 105.57/56.43 | Equations (3916) can reduce 1566 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (2052) yields:
% 105.57/56.43 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.43 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.43 | (3913) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Simplifying 3913 yields:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Equations (1191) can reduce 638 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (1798) yields:
% 105.57/56.43 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.43 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.43 |
% 105.57/56.43 | Equations (575) can reduce 1800 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.43 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1244), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Equations (1191) can reduce 638 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.43 | (1163) all_0_19_19 = e2
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1163,1159) yields a new equation:
% 105.57/56.43 | (615) e3 = e2
% 105.57/56.43 |
% 105.57/56.43 | Equations (615) can reduce 52 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.43 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (735), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (761) all_0_35_35 = e1
% 105.57/56.43 |
% 105.57/56.43 | Equations (761) can reduce 1138 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (1138) ~ (all_0_35_35 = e1)
% 105.57/56.43 | (1139) all_0_35_35 = e0
% 105.57/56.43 |
% 105.57/56.43 | Equations (1139) can reduce 536 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (1150) ~ (all_0_19_19 = e3)
% 105.57/56.43 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1162), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1163) all_0_19_19 = e2
% 105.57/56.43 |
% 105.57/56.43 | Equations (1163) can reduce 706 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.43 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1166), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (829) all_0_19_19 = e1
% 105.57/56.43 |
% 105.57/56.43 | Equations (829) can reduce 943 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.43 | (1187) all_0_19_19 = e0
% 105.57/56.43 |
% 105.57/56.43 | Equations (1187) can reduce 489 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (1792) yields:
% 105.57/56.43 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.43 | (1141) ~ (all_0_18_18 = e0)
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (212), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.43 |
% 105.57/56.43 | Equations (969) can reduce 679 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (969) all_0_15_15 = e1
% 105.57/56.43 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (332), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1151) all_0_19_19 = e4
% 105.57/56.43 |
% 105.57/56.43 | Equations (1151) can reduce 460 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.43 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1154), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1159) all_0_19_19 = e3
% 105.57/56.43 |
% 105.57/56.43 | Equations (1159) can reduce 172 to:
% 105.57/56.43 | (1189) ~ (all_0_18_18 = e3)
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (342), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1008) all_0_18_18 = e4
% 105.57/56.43 |
% 105.57/56.43 | Equations (1008) can reduce 458 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (458) ~ (all_0_18_18 = e4)
% 105.57/56.43 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1146), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1147) all_0_18_18 = e3
% 105.57/56.43 |
% 105.57/56.43 | Equations (1147) can reduce 1189 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (1189) ~ (all_0_18_18 = e3)
% 105.57/56.43 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1190), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1191,1565) yields a new equation:
% 105.57/56.43 | (3903) all_0_13_13 = e2
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1548), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1563) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.43 |
% 105.57/56.43 +-Applying beta-rule and splitting (1563), into two cases.
% 105.57/56.43 |-Branch one:
% 105.57/56.43 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (1564) yields:
% 105.57/56.43 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.43 | (1566) ~ (all_0_12_12 = e0)
% 105.57/56.43 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.43 | (3913) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Simplifying 3913 yields:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | From (1191) and (1567) follows:
% 105.57/56.43 | (3915) op(e2, e4) = all_0_12_12
% 105.57/56.43 |
% 105.57/56.43 | Instantiating formula (29) with e2, e4, e0, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e0, yields:
% 105.57/56.43 | (3916) all_0_12_12 = e0
% 105.57/56.43 |
% 105.57/56.43 | Equations (3916) can reduce 1566 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.43 |-Branch two:
% 105.57/56.43 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 105.57/56.43 |
% 105.57/56.43 | Applying alpha-rule on (2052) yields:
% 105.57/56.43 | (1565) all_0_13_13 = all_0_18_18
% 105.57/56.43 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.43 |
% 105.57/56.43 | Combining equations (1565,3903) yields a new equation:
% 105.57/56.43 | (3913) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Simplifying 3913 yields:
% 105.57/56.43 | (1191) all_0_18_18 = e2
% 105.57/56.43 |
% 105.57/56.43 | Equations (1191) can reduce 638 to:
% 105.57/56.43 | (400) $false
% 105.57/56.43 |
% 105.57/56.43 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.44 |
% 105.57/56.44 | Applying alpha-rule on (1798) yields:
% 105.57/56.44 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.44 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.44 |
% 105.57/56.44 | Equations (575) can reduce 1800 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (638) ~ (all_0_18_18 = e2)
% 105.57/56.44 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1194), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (984) all_0_18_18 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (984) can reduce 428 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.44 | (756) all_0_18_18 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (756) can reduce 1141 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1150) ~ (all_0_19_19 = e3)
% 105.57/56.44 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1162), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (1163) all_0_19_19 = e2
% 105.57/56.44 |
% 105.57/56.44 | Equations (1163) can reduce 706 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.44 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1166), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (829) all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (829) can reduce 943 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.44 | (1187) all_0_19_19 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (1187) can reduce 489 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1798) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3)
% 105.57/56.44 |
% 105.57/56.44 | Applying alpha-rule on (1798) yields:
% 105.57/56.44 | (1799) all_0_14_14 = all_0_30_30
% 105.57/56.44 | (1800) ~ (all_0_30_30 = e3)
% 105.57/56.44 |
% 105.57/56.44 | Equations (575) can reduce 1800 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.44 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (305), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (969) all_0_15_15 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (969) can reduce 679 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.44 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (973), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (974) all_0_16_16 = e1
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (454,974) yields a new equation:
% 105.57/56.44 | (975) e4 = e1
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 975 yields:
% 105.57/56.44 | (838) e4 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (838) can reduce 56 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (415) ~ (all_0_16_16 = e1)
% 105.57/56.44 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (979), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (980) all_0_17_17 = e1
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (980,1184) yields a new equation:
% 105.57/56.44 | (530) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 530 yields:
% 105.57/56.44 | (531) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (531) can reduce 40 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (817) ~ (all_0_17_17 = e1)
% 105.57/56.44 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (983), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (984) all_0_18_18 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (984) can reduce 428 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (428) ~ (all_0_18_18 = e1)
% 105.57/56.44 | (829) all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (829) can reduce 943 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1127) ~ (all_0_37_37 = e3)
% 105.57/56.44 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1128), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (1129) all_0_37_37 = e2
% 105.57/56.44 |
% 105.57/56.44 | Equations (1129) can reduce 450 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (450) ~ (all_0_37_37 = e2)
% 105.57/56.44 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1132), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (1112) all_0_37_37 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (1112) can reduce 763 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (763) ~ (all_0_37_37 = e1)
% 105.57/56.44 | (1136) all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (1136) can reduce 538 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1054) ~ (all_0_25_25 = e0)
% 105.57/56.44 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1201), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (646) all_0_30_30 = e0
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (646,575) yields a new equation:
% 105.57/56.44 | (648) e3 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (648) can reduce 80 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (650) ~ (all_0_30_30 = e0)
% 105.57/56.44 | (1139) all_0_35_35 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (1139) can reduce 536 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (659) ~ (all_0_17_17 = e0)
% 105.57/56.44 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (59), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (847) all_0_37_37 = e4
% 105.57/56.44 |
% 105.57/56.44 | Equations (847) can reduce 1002 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (1002) ~ (all_0_37_37 = e4)
% 105.57/56.44 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (1007), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (936) all_0_37_37 = e3
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (92), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (736) all_0_15_15 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (736) can reduce 501 to:
% 105.57/56.44 | (543) ~ (e4 = e0)
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 543 yields:
% 105.57/56.44 | (267) ~ (e4 = e0)
% 105.57/56.44 |
% 105.57/56.44 | Equations (736) can reduce 572 to:
% 105.57/56.44 | (665) ~ (e3 = e0)
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 665 yields:
% 105.57/56.44 | (80) ~ (e3 = e0)
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (4262), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (4273) all_0_22_22 = e0
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (442,4273) yields a new equation:
% 105.57/56.44 | (524) e2 = e0
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 524 yields:
% 105.57/56.44 | (525) e2 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (525) can reduce 336 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (4277) ~ (all_0_22_22 = e0)
% 105.57/56.44 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (305), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (969) all_0_15_15 = e1
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (969,736) yields a new equation:
% 105.57/56.44 | (530) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 530 yields:
% 105.57/56.44 | (531) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (531) can reduce 40 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (679) ~ (all_0_15_15 = e1)
% 105.57/56.44 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 105.57/56.44 |
% 105.57/56.44 | Equations (736) can reduce 679 to:
% 105.57/56.44 | (498) ~ (e1 = e0)
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 498 yields:
% 105.57/56.44 | (40) ~ (e1 = e0)
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (4278), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (995) all_0_27_27 = e0
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (816,995) yields a new equation:
% 105.57/56.44 | (530) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 530 yields:
% 105.57/56.44 | (531) e1 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (531) can reduce 40 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (660) ~ (all_0_27_27 = e0)
% 105.57/56.44 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (4292), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (658) all_0_32_32 = e0
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (609,658) yields a new equation:
% 105.57/56.44 | (743) e4 = e0
% 105.57/56.44 |
% 105.57/56.44 | Simplifying 743 yields:
% 105.57/56.44 | (515) e4 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (515) can reduce 267 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (889) ~ (all_0_32_32 = e0)
% 105.57/56.44 | (1136) all_0_37_37 = e0
% 105.57/56.44 |
% 105.57/56.44 | Combining equations (1136,936) yields a new equation:
% 105.57/56.44 | (648) e3 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (648) can reduce 80 to:
% 105.57/56.44 | (400) $false
% 105.57/56.44 |
% 105.57/56.44 |-The branch is then unsatisfiable
% 105.57/56.44 |-Branch two:
% 105.57/56.44 | (739) ~ (all_0_15_15 = e0)
% 105.57/56.44 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 105.57/56.44 |
% 105.57/56.44 +-Applying beta-rule and splitting (123), into two cases.
% 105.57/56.44 |-Branch one:
% 105.57/56.44 | (736) all_0_15_15 = e0
% 105.57/56.44 |
% 105.57/56.44 | Equations (736) can reduce 739 to:
% 105.57/56.44 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (739) ~ (all_0_15_15 = e0)
% 105.57/56.45 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (740), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (742) all_0_20_20 = e0
% 105.57/56.45 |
% 105.57/56.45 | Combining equations (500,742) yields a new equation:
% 105.57/56.45 | (743) e4 = e0
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 743 yields:
% 105.57/56.45 | (515) e4 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (515) can reduce 267 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (490) ~ (all_0_20_20 = e0)
% 105.57/56.45 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (500) can reduce 490 to:
% 105.57/56.45 | (267) ~ (e4 = e0)
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (1207), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (514) all_0_16_16 = e0
% 105.57/56.45 |
% 105.57/56.45 | Combining equations (454,514) yields a new equation:
% 105.57/56.45 | (743) e4 = e0
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 743 yields:
% 105.57/56.45 | (515) e4 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (515) can reduce 267 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (517) ~ (all_0_16_16 = e0)
% 105.57/56.45 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (1212), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (1184) all_0_17_17 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (1184) can reduce 659 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (659) ~ (all_0_17_17 = e0)
% 105.57/56.45 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (1216), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (756) all_0_18_18 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (756) can reduce 1141 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (1141) ~ (all_0_18_18 = e0)
% 105.57/56.45 | (1187) all_0_19_19 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (1187) can reduce 489 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (1127) ~ (all_0_37_37 = e3)
% 105.57/56.45 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (1128), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (1129) all_0_37_37 = e2
% 105.57/56.45 |
% 105.57/56.45 | Equations (1129) can reduce 450 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (450) ~ (all_0_37_37 = e2)
% 105.57/56.45 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (1132), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (1112) all_0_37_37 = e1
% 105.57/56.45 |
% 105.57/56.45 | Equations (1112) can reduce 763 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (763) ~ (all_0_37_37 = e1)
% 105.57/56.45 | (1136) all_0_37_37 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (1136) can reduce 538 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (4340) ~ (all_0_34_34 = e2)
% 105.57/56.45 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (4341), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (4342) all_0_34_34 = e1
% 105.57/56.45 |
% 105.57/56.45 | Equations (4342) can reduce 421 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (421) ~ (all_0_34_34 = e1)
% 105.57/56.45 | (4345) all_0_34_34 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (4345) can reduce 495 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (604) ~ (all_0_32_32 = e4)
% 105.57/56.45 | (4348) all_0_33_33 = e4 | all_0_34_34 = e4
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (4348), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (1322) all_0_33_33 = e4
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 594 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.45 | (601) all_0_34_34 = e4
% 105.57/56.45 |
% 105.57/56.45 | Equations (601) can reduce 2554 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (1322) all_0_33_33 = e4
% 105.57/56.45 | (4355) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 33 to:
% 105.57/56.45 | (458) ~ (all_0_18_18 = e4)
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 230 to:
% 105.57/56.45 | (883) ~ (all_0_28_28 = e4)
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 105 to:
% 105.57/56.45 | (604) ~ (all_0_32_32 = e4)
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 155 to:
% 105.57/56.45 | (2566) ~ (all_0_34_34 = e4)
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 2566 yields:
% 105.57/56.45 | (2554) ~ (all_0_34_34 = e4)
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 574 to:
% 105.57/56.45 | (255) ~ (e4 = e3)
% 105.57/56.45 |
% 105.57/56.45 | Equations (1322) can reduce 436 to:
% 105.57/56.45 | (56) ~ (e4 = e1)
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (263), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (601) all_0_34_34 = e4
% 105.57/56.45 |
% 105.57/56.45 | Equations (601) can reduce 2554 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (2554) ~ (all_0_34_34 = e4)
% 105.57/56.45 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (2555), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (2571) all_0_34_34 = e3
% 105.57/56.45 |
% 105.57/56.45 | Equations (2571) can reduce 583 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (583) ~ (all_0_34_34 = e3)
% 105.57/56.45 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (236), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (609) all_0_32_32 = e4
% 105.57/56.45 |
% 105.57/56.45 | Equations (609) can reduce 604 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (604) ~ (all_0_32_32 = e4)
% 105.57/56.45 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (304), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (646) all_0_30_30 = e0
% 105.57/56.45 |
% 105.57/56.45 | Combining equations (575,646) yields a new equation:
% 105.57/56.45 | (647) e3 = e0
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 647 yields:
% 105.57/56.45 | (648) e3 = e0
% 105.57/56.45 |
% 105.57/56.45 | Equations (648) can reduce 80 to:
% 105.57/56.45 | (400) $false
% 105.57/56.45 |
% 105.57/56.45 |-The branch is then unsatisfiable
% 105.57/56.45 |-Branch two:
% 105.57/56.45 | (650) ~ (all_0_30_30 = e0)
% 105.57/56.45 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (2574), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (2551) all_0_34_34 = e2
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 295 to:
% 105.57/56.45 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 84 to:
% 105.57/56.45 | (479) ~ (all_0_29_29 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 132 to:
% 105.57/56.45 | (448) ~ (all_0_32_32 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 85 to:
% 105.57/56.45 | (2579) ~ (all_0_39_39 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 2579 yields:
% 105.57/56.45 | (1250) ~ (all_0_39_39 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 2554 to:
% 105.57/56.45 | (482) ~ (e4 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 482 yields:
% 105.57/56.45 | (21) ~ (e4 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 583 to:
% 105.57/56.45 | (643) ~ (e3 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Simplifying 643 yields:
% 105.57/56.45 | (52) ~ (e3 = e2)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 421 to:
% 105.57/56.45 | (310) ~ (e2 = e1)
% 105.57/56.45 |
% 105.57/56.45 | Equations (2551) can reduce 495 to:
% 105.57/56.45 | (336) ~ (e2 = e0)
% 105.57/56.45 |
% 105.57/56.45 +-Applying beta-rule and splitting (612), into two cases.
% 105.57/56.45 |-Branch one:
% 105.57/56.45 | (629) all_0_32_32 = e3
% 105.57/56.45 |
% 105.57/56.46 | Equations (629) can reduce 579 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (579) ~ (all_0_32_32 = e3)
% 105.57/56.46 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (651), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (529) all_0_31_31 = e0
% 105.57/56.46 |
% 105.57/56.46 | Combining equations (414,529) yields a new equation:
% 105.57/56.46 | (530) e1 = e0
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 530 yields:
% 105.57/56.46 | (531) e1 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (531) can reduce 40 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (533) ~ (all_0_31_31 = e0)
% 105.57/56.46 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (657), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (658) all_0_32_32 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 242 to:
% 105.57/56.46 | (659) ~ (all_0_17_17 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 170 to:
% 105.57/56.46 | (660) ~ (all_0_27_27 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 211 to:
% 105.57/56.46 | (537) ~ (all_0_37_37 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 537 yields:
% 105.57/56.46 | (538) ~ (all_0_37_37 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 579 to:
% 105.57/56.46 | (665) ~ (e3 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 665 yields:
% 105.57/56.46 | (80) ~ (e3 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 448 to:
% 105.57/56.46 | (496) ~ (e2 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 496 yields:
% 105.57/56.46 | (336) ~ (e2 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Equations (658) can reduce 419 to:
% 105.57/56.46 | (498) ~ (e1 = e0)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 498 yields:
% 105.57/56.46 | (40) ~ (e1 = e0)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (201), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (857) ~ (all_0_27_27 = e1)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (175), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (804) all_0_27_27 = e4
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 226 to:
% 105.57/56.46 | (456) ~ (all_0_17_17 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 122 to:
% 105.57/56.46 | (505) ~ (all_0_25_25 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 337 to:
% 105.57/56.46 | (999) ~ (all_0_28_28 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 999 yields:
% 105.57/56.46 | (883) ~ (all_0_28_28 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 53 to:
% 105.57/56.46 | (4420) ~ (all_0_29_29 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 4420 yields:
% 105.57/56.46 | (603) ~ (all_0_29_29 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 475 to:
% 105.57/56.46 | (21) ~ (e4 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 857 to:
% 105.57/56.46 | (56) ~ (e4 = e1)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 660 to:
% 105.57/56.46 | (267) ~ (e4 = e0)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (250), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (1151) all_0_19_19 = e4
% 105.57/56.46 |
% 105.57/56.46 | Equations (1151) can reduce 460 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.46 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (2780), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (2956) all_0_24_24 = e4
% 105.57/56.46 |
% 105.57/56.46 | Combining equations (2956,488) yields a new equation:
% 105.57/56.46 | (743) e4 = e0
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 743 yields:
% 105.57/56.46 | (515) e4 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (515) can reduce 267 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (2960) ~ (all_0_24_24 = e4)
% 105.57/56.46 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (2961), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (941) all_0_29_29 = e4
% 105.57/56.46 |
% 105.57/56.46 | Equations (941) can reduce 603 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (603) ~ (all_0_29_29 = e4)
% 105.57/56.46 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (3061), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (601) all_0_34_34 = e4
% 105.57/56.46 |
% 105.57/56.46 | Combining equations (2551,601) yields a new equation:
% 105.57/56.46 | (798) e4 = e2
% 105.57/56.46 |
% 105.57/56.46 | Equations (798) can reduce 21 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (2554) ~ (all_0_34_34 = e4)
% 105.57/56.46 | (697) all_0_39_39 = e4
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 94 to:
% 105.57/56.46 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 291 to:
% 105.57/56.46 | (603) ~ (all_0_29_29 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 63 to:
% 105.57/56.46 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 231 to:
% 105.57/56.46 | (1835) ~ (all_0_38_38 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 571 to:
% 105.57/56.46 | (255) ~ (e4 = e3)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 1250 to:
% 105.57/56.46 | (21) ~ (e4 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 542 to:
% 105.57/56.46 | (267) ~ (e4 = e0)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (343), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (607) ~ (all_0_39_39 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (697) can reduce 607 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (697) all_0_39_39 = e4
% 105.57/56.46 | (4454) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (77), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (1322) can reduce 594 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (1322) all_0_33_33 = e4
% 105.57/56.46 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (312), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (1322) can reduce 594 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (1322) all_0_33_33 = e4
% 105.57/56.46 | (4462) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (161), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (1322) can reduce 594 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (1322) all_0_33_33 = e4
% 105.57/56.46 | (4466) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (149), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (1322) can reduce 594 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (1322) all_0_33_33 = e4
% 105.57/56.46 | (4470) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (119), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (785) ~ (all_0_27_27 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (804) can reduce 785 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (804) all_0_27_27 = e4
% 105.57/56.46 | (4474) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (49), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (594) ~ (all_0_33_33 = e4)
% 105.57/56.46 |
% 105.57/56.46 | Equations (1322) can reduce 594 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (1322) all_0_33_33 = e4
% 105.57/56.46 | (4478) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (179), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (711) all_0_15_15 = e2
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 344 to:
% 105.57/56.46 | (712) ~ (all_0_17_17 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 712 yields:
% 105.57/56.46 | (396) ~ (all_0_17_17 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 319 to:
% 105.57/56.46 | (716) ~ (all_0_19_19 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 716 yields:
% 105.57/56.46 | (706) ~ (all_0_19_19 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 42 to:
% 105.57/56.46 | (4484) ~ (all_0_25_25 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 4484 yields:
% 105.57/56.46 | (473) ~ (all_0_25_25 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 39 to:
% 105.57/56.46 | (718) ~ (all_0_35_35 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 718 yields:
% 105.57/56.46 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 501 to:
% 105.57/56.46 | (482) ~ (e4 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 482 yields:
% 105.57/56.46 | (21) ~ (e4 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 572 to:
% 105.57/56.46 | (643) ~ (e3 = e2)
% 105.57/56.46 |
% 105.57/56.46 | Simplifying 643 yields:
% 105.57/56.46 | (52) ~ (e3 = e2)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (128), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (724) all_0_35_35 = e4
% 105.57/56.46 |
% 105.57/56.46 | Equations (724) can reduce 509 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (509) ~ (all_0_35_35 = e4)
% 105.57/56.46 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (727), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (728) all_0_35_35 = e3
% 105.57/56.46 |
% 105.57/56.46 | Equations (728) can reduce 585 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (585) ~ (all_0_35_35 = e3)
% 105.57/56.46 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (121), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (732) all_0_35_35 = e2
% 105.57/56.46 |
% 105.57/56.46 | Equations (732) can reduce 719 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.46 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (92), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (736) all_0_15_15 = e0
% 105.57/56.46 |
% 105.57/56.46 | Combining equations (736,711) yields a new equation:
% 105.57/56.46 | (525) e2 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (525) can reduce 336 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (739) ~ (all_0_15_15 = e0)
% 105.57/56.46 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 739 to:
% 105.57/56.46 | (336) ~ (e2 = e0)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (123), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (736) all_0_15_15 = e0
% 105.57/56.46 |
% 105.57/56.46 | Combining equations (736,711) yields a new equation:
% 105.57/56.46 | (525) e2 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (525) can reduce 336 to:
% 105.57/56.46 | (400) $false
% 105.57/56.46 |
% 105.57/56.46 |-The branch is then unsatisfiable
% 105.57/56.46 |-Branch two:
% 105.57/56.46 | (739) ~ (all_0_15_15 = e0)
% 105.57/56.46 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.57/56.46 |
% 105.57/56.46 | Equations (711) can reduce 739 to:
% 105.57/56.46 | (336) ~ (e2 = e0)
% 105.57/56.46 |
% 105.57/56.46 +-Applying beta-rule and splitting (731), into two cases.
% 105.57/56.46 |-Branch one:
% 105.57/56.46 | (732) all_0_35_35 = e2
% 105.57/56.47 |
% 105.57/56.47 | Equations (732) can reduce 719 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.47 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1477), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1478) all_0_36_36 = e2
% 105.57/56.47 |
% 105.57/56.47 | Combining equations (534,1478) yields a new equation:
% 105.57/56.47 | (525) e2 = e0
% 105.57/56.47 |
% 105.57/56.47 | Equations (525) can reduce 336 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (481) ~ (all_0_36_36 = e2)
% 105.57/56.47 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1482), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1129) all_0_37_37 = e2
% 105.57/56.47 |
% 105.57/56.47 | Equations (1129) can reduce 450 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (450) ~ (all_0_37_37 = e2)
% 105.57/56.47 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4528), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (3218) all_0_38_38 = e2
% 105.57/56.47 |
% 105.57/56.47 | Equations (3218) can reduce 207 to:
% 105.57/56.47 | (477) ~ (all_0_28_28 = e2)
% 105.57/56.47 |
% 105.57/56.47 | Equations (3218) can reduce 210 to:
% 105.57/56.47 | (719) ~ (all_0_35_35 = e2)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (254), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (728) all_0_35_35 = e3
% 105.57/56.47 |
% 105.57/56.47 | Equations (728) can reduce 585 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (585) ~ (all_0_35_35 = e3)
% 105.57/56.47 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4535), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (4536) all_0_36_36 = e3
% 105.57/56.47 |
% 105.57/56.47 | Combining equations (4536,534) yields a new equation:
% 105.57/56.47 | (647) e3 = e0
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 647 yields:
% 105.57/56.47 | (648) e3 = e0
% 105.57/56.47 |
% 105.57/56.47 | Equations (648) can reduce 80 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (4540) ~ (all_0_36_36 = e3)
% 105.57/56.47 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (735), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (761) all_0_35_35 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (761) can reduce 194 to:
% 105.57/56.47 | (1519) ~ (all_0_25_25 = e1)
% 105.57/56.47 |
% 105.57/56.47 | Equations (761) can reduce 509 to:
% 105.57/56.47 | (764) ~ (e4 = e1)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 764 yields:
% 105.57/56.47 | (56) ~ (e4 = e1)
% 105.57/56.47 |
% 105.57/56.47 | Equations (761) can reduce 719 to:
% 105.57/56.47 | (766) ~ (e2 = e1)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 766 yields:
% 105.57/56.47 | (310) ~ (e2 = e1)
% 105.57/56.47 |
% 105.57/56.47 | Equations (761) can reduce 536 to:
% 105.57/56.47 | (40) ~ (e1 = e0)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (593), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1698) all_0_25_25 = e3
% 105.57/56.47 |
% 105.57/56.47 | Equations (1698) can reduce 577 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (577) ~ (all_0_25_25 = e3)
% 105.57/56.47 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (43), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1495) all_0_25_25 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (1495) can reduce 1519 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (1519) ~ (all_0_25_25 = e1)
% 105.57/56.47 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4541), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (936) all_0_37_37 = e3
% 105.57/56.47 |
% 105.57/56.47 | Equations (936) can reduce 538 to:
% 105.57/56.47 | (80) ~ (e3 = e0)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4556), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (4559) all_0_26_26 = e1
% 105.57/56.47 |
% 105.57/56.47 | Combining equations (4559,471) yields a new equation:
% 105.57/56.47 | (621) e2 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (621) can reduce 310 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (416) ~ (all_0_26_26 = e1)
% 105.57/56.47 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4563), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (816) all_0_27_27 = e1
% 105.57/56.47 |
% 105.57/56.47 | Combining equations (816,804) yields a new equation:
% 105.57/56.47 | (838) e4 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (838) can reduce 56 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (857) ~ (all_0_27_27 = e1)
% 105.57/56.47 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1701), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1536) all_0_25_25 = e2
% 105.57/56.47 |
% 105.57/56.47 | Equations (1536) can reduce 473 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (473) ~ (all_0_25_25 = e2)
% 105.57/56.47 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (740), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (742) all_0_20_20 = e0
% 105.57/56.47 |
% 105.57/56.47 | Combining equations (500,742) yields a new equation:
% 105.57/56.47 | (743) e4 = e0
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 743 yields:
% 105.57/56.47 | (515) e4 = e0
% 105.57/56.47 |
% 105.57/56.47 | Equations (515) can reduce 267 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (490) ~ (all_0_20_20 = e0)
% 105.57/56.47 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (241), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (793) all_0_17_17 = e4
% 105.57/56.47 |
% 105.57/56.47 | Equations (793) can reduce 456 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (456) ~ (all_0_17_17 = e4)
% 105.57/56.47 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (747), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (749) all_0_25_25 = e0
% 105.57/56.47 |
% 105.57/56.47 | Equations (749) can reduce 185 to:
% 105.57/56.47 | (757) ~ (all_0_28_28 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 757 yields:
% 105.57/56.47 | (758) ~ (all_0_28_28 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Equations (749) can reduce 505 to:
% 105.57/56.47 | (543) ~ (e4 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 543 yields:
% 105.57/56.47 | (267) ~ (e4 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Equations (749) can reduce 473 to:
% 105.57/56.47 | (496) ~ (e2 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 496 yields:
% 105.57/56.47 | (336) ~ (e2 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Equations (749) can reduce 1519 to:
% 105.57/56.47 | (498) ~ (e1 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 498 yields:
% 105.57/56.47 | (40) ~ (e1 = e0)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (340), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (756) all_0_18_18 = e0
% 105.57/56.47 |
% 105.57/56.47 | Equations (756) can reduce 9 to:
% 105.57/56.47 | (659) ~ (all_0_17_17 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Equations (756) can reduce 172 to:
% 105.57/56.47 | (3657) ~ (all_0_19_19 = e0)
% 105.57/56.47 |
% 105.57/56.47 | Simplifying 3657 yields:
% 105.57/56.47 | (489) ~ (all_0_19_19 = e0)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (4568), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1122) all_0_28_28 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (1122) can reduce 434 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (434) ~ (all_0_28_28 = e1)
% 105.57/56.47 | (4599) all_0_29_29 = e1
% 105.57/56.47 |
% 105.57/56.47 | Equations (4599) can reduce 174 to:
% 105.57/56.47 | (943) ~ (all_0_19_19 = e1)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (332), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1151) all_0_19_19 = e4
% 105.57/56.47 |
% 105.57/56.47 | Equations (1151) can reduce 460 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (460) ~ (all_0_19_19 = e4)
% 105.57/56.47 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1154), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1159) all_0_19_19 = e3
% 105.57/56.47 |
% 105.57/56.47 | Equations (1159) can reduce 131 to:
% 105.57/56.47 | (919) ~ (all_0_17_17 = e3)
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1172), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (855) all_0_17_17 = e3
% 105.57/56.47 |
% 105.57/56.47 | Equations (855) can reduce 919 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (919) ~ (all_0_17_17 = e3)
% 105.57/56.47 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (1176), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (1177) all_0_17_17 = e2
% 105.57/56.47 |
% 105.57/56.47 | Equations (1177) can reduce 396 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (396) ~ (all_0_17_17 = e2)
% 105.57/56.47 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (249), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (980) all_0_17_17 = e1
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (116), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (769) ~ (all_0_15_15 = e2)
% 105.57/56.47 |
% 105.57/56.47 | Equations (711) can reduce 769 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (711) all_0_15_15 = e2
% 105.57/56.47 | (776) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 105.57/56.47 |
% 105.57/56.47 +-Applying beta-rule and splitting (115), into two cases.
% 105.57/56.47 |-Branch one:
% 105.57/56.47 | (769) ~ (all_0_15_15 = e2)
% 105.57/56.47 |
% 105.57/56.47 | Equations (711) can reduce 769 to:
% 105.57/56.47 | (400) $false
% 105.57/56.47 |
% 105.57/56.47 |-The branch is then unsatisfiable
% 105.57/56.47 |-Branch two:
% 105.57/56.47 | (711) all_0_15_15 = e2
% 105.57/56.47 | (784) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 105.57/56.47 |
% 105.96/56.47 +-Applying beta-rule and splitting (776), into two cases.
% 105.96/56.47 |-Branch one:
% 105.96/56.47 | (1030) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 105.96/56.47 |
% 105.96/56.47 +-Applying beta-rule and splitting (1030), into two cases.
% 105.96/56.47 |-Branch one:
% 105.96/56.47 | (1031) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.47 |
% 105.96/56.47 | Applying alpha-rule on (1031) yields:
% 105.96/56.47 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.47 | (1033) ~ (all_0_12_12 = e1)
% 105.96/56.47 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (980,1032) yields a new equation:
% 105.96/56.48 | (1035) all_0_13_13 = e1
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (784), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1036) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1036), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1037) yields:
% 105.96/56.48 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.48 | (1039) ~ (all_0_12_12 = e3)
% 105.96/56.48 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (1032,1035) yields a new equation:
% 105.96/56.48 | (1041) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 1041 yields:
% 105.96/56.48 | (980) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | From (980) and (1034) follows:
% 105.96/56.48 | (1043) op(e1, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 105.96/56.48 | (1044) all_0_12_12 = e3
% 105.96/56.48 |
% 105.96/56.48 | Equations (1044) can reduce 1039 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1046) yields:
% 105.96/56.48 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.48 | (817) ~ (all_0_17_17 = e1)
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (1032,1035) yields a new equation:
% 105.96/56.48 | (1041) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 1041 yields:
% 105.96/56.48 | (980) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Equations (980) can reduce 817 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1052) yields:
% 105.96/56.48 | (1053) all_0_14_14 = all_0_25_25
% 105.96/56.48 | (1054) ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Equations (749) can reduce 1054 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1056) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1056) yields:
% 105.96/56.48 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.48 | (919) ~ (all_0_17_17 = e3)
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (980,1032) yields a new equation:
% 105.96/56.48 | (1035) all_0_13_13 = e1
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (784), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1036) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1036), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1037) yields:
% 105.96/56.48 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.48 | (1039) ~ (all_0_12_12 = e3)
% 105.96/56.48 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (1032,1035) yields a new equation:
% 105.96/56.48 | (1041) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 1041 yields:
% 105.96/56.48 | (980) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | From (980) and (1034) follows:
% 105.96/56.48 | (1043) op(e1, e4) = all_0_12_12
% 105.96/56.48 |
% 105.96/56.48 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 105.96/56.48 | (1044) all_0_12_12 = e3
% 105.96/56.48 |
% 105.96/56.48 | Equations (1044) can reduce 1039 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1046) yields:
% 105.96/56.48 | (1032) all_0_13_13 = all_0_17_17
% 105.96/56.48 | (817) ~ (all_0_17_17 = e1)
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (1032,1035) yields a new equation:
% 105.96/56.48 | (1041) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 1041 yields:
% 105.96/56.48 | (980) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Equations (980) can reduce 817 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1052) yields:
% 105.96/56.48 | (1053) all_0_14_14 = all_0_25_25
% 105.96/56.48 | (1054) ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Equations (749) can reduce 1054 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1052) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Applying alpha-rule on (1052) yields:
% 105.96/56.48 | (1053) all_0_14_14 = all_0_25_25
% 105.96/56.48 | (1054) ~ (all_0_25_25 = e0)
% 105.96/56.48 |
% 105.96/56.48 | Equations (749) can reduce 1054 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (817) ~ (all_0_17_17 = e1)
% 105.96/56.48 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1180), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (980) all_0_17_17 = e1
% 105.96/56.48 |
% 105.96/56.48 | Equations (980) can reduce 817 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (817) ~ (all_0_17_17 = e1)
% 105.96/56.48 | (1184) all_0_17_17 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (1184) can reduce 659 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1150) ~ (all_0_19_19 = e3)
% 105.96/56.48 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1162), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1163) all_0_19_19 = e2
% 105.96/56.48 |
% 105.96/56.48 | Equations (1163) can reduce 706 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (706) ~ (all_0_19_19 = e2)
% 105.96/56.48 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1166), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (829) all_0_19_19 = e1
% 105.96/56.48 |
% 105.96/56.48 | Equations (829) can reduce 943 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (943) ~ (all_0_19_19 = e1)
% 105.96/56.48 | (1187) all_0_19_19 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (1187) can reduce 489 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1141) ~ (all_0_18_18 = e0)
% 105.96/56.48 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1142), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (4698) all_0_23_23 = e0
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (427,4698) yields a new equation:
% 105.96/56.48 | (530) e1 = e0
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 530 yields:
% 105.96/56.48 | (531) e1 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (531) can reduce 40 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (4702) ~ (all_0_23_23 = e0)
% 105.96/56.48 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (4703), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1125) all_0_28_28 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (1125) can reduce 758 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (758) ~ (all_0_28_28 = e0)
% 105.96/56.48 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (4707), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (1463) all_0_33_33 = e0
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (1322,1463) yields a new equation:
% 105.96/56.48 | (743) e4 = e0
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 743 yields:
% 105.96/56.48 | (515) e4 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (515) can reduce 267 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (2612) ~ (all_0_33_33 = e0)
% 105.96/56.48 | (3225) all_0_38_38 = e0
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (3218,3225) yields a new equation:
% 105.96/56.48 | (524) e2 = e0
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 524 yields:
% 105.96/56.48 | (525) e2 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (525) can reduce 336 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (1054) ~ (all_0_25_25 = e0)
% 105.96/56.48 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 105.96/56.48 |
% 105.96/56.48 +-Applying beta-rule and splitting (1201), into two cases.
% 105.96/56.48 |-Branch one:
% 105.96/56.48 | (646) all_0_30_30 = e0
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (575,646) yields a new equation:
% 105.96/56.48 | (647) e3 = e0
% 105.96/56.48 |
% 105.96/56.48 | Simplifying 647 yields:
% 105.96/56.48 | (648) e3 = e0
% 105.96/56.48 |
% 105.96/56.48 | Equations (648) can reduce 80 to:
% 105.96/56.48 | (400) $false
% 105.96/56.48 |
% 105.96/56.48 |-The branch is then unsatisfiable
% 105.96/56.48 |-Branch two:
% 105.96/56.48 | (650) ~ (all_0_30_30 = e0)
% 105.96/56.48 | (1139) all_0_35_35 = e0
% 105.96/56.48 |
% 105.96/56.48 | Combining equations (761,1139) yields a new equation:
% 105.96/56.49 | (530) e1 = e0
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 530 yields:
% 105.96/56.49 | (531) e1 = e0
% 105.96/56.49 |
% 105.96/56.49 | Equations (531) can reduce 40 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (1127) ~ (all_0_37_37 = e3)
% 105.96/56.49 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (1701), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1536) all_0_25_25 = e2
% 105.96/56.49 |
% 105.96/56.49 | Equations (1536) can reduce 473 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (473) ~ (all_0_25_25 = e2)
% 105.96/56.49 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (1705), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1495) all_0_25_25 = e1
% 105.96/56.49 |
% 105.96/56.49 | Equations (1495) can reduce 1519 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (1519) ~ (all_0_25_25 = e1)
% 105.96/56.49 | (749) all_0_25_25 = e0
% 105.96/56.49 |
% 105.96/56.49 | Equations (749) can reduce 185 to:
% 105.96/56.49 | (757) ~ (all_0_28_28 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 757 yields:
% 105.96/56.49 | (758) ~ (all_0_28_28 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Equations (749) can reduce 505 to:
% 105.96/56.49 | (543) ~ (e4 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 543 yields:
% 105.96/56.49 | (267) ~ (e4 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Equations (749) can reduce 577 to:
% 105.96/56.49 | (665) ~ (e3 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 665 yields:
% 105.96/56.49 | (80) ~ (e3 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Equations (749) can reduce 473 to:
% 105.96/56.49 | (496) ~ (e2 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 496 yields:
% 105.96/56.49 | (336) ~ (e2 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Equations (749) can reduce 1519 to:
% 105.96/56.49 | (498) ~ (e1 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 498 yields:
% 105.96/56.49 | (40) ~ (e1 = e0)
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (142), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (855) all_0_17_17 = e3
% 105.96/56.49 |
% 105.96/56.49 | Equations (855) can reduce 9 to:
% 105.96/56.49 | (1719) ~ (all_0_18_18 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 1719 yields:
% 105.96/56.49 | (1189) ~ (all_0_18_18 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Equations (855) can reduce 131 to:
% 105.96/56.49 | (1149) ~ (all_0_19_19 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 1149 yields:
% 105.96/56.49 | (1150) ~ (all_0_19_19 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Equations (855) can reduce 456 to:
% 105.96/56.49 | (558) ~ (e4 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 558 yields:
% 105.96/56.49 | (255) ~ (e4 = e3)
% 105.96/56.49 |
% 105.96/56.49 | Equations (855) can reduce 396 to:
% 105.96/56.49 | (52) ~ (e3 = e2)
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (340), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (756) all_0_18_18 = e0
% 105.96/56.49 |
% 105.96/56.49 | Equations (756) can reduce 302 to:
% 105.96/56.49 | (757) ~ (all_0_28_28 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 757 yields:
% 105.96/56.49 | (758) ~ (all_0_28_28 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Equations (756) can reduce 1189 to:
% 105.96/56.49 | (665) ~ (e3 = e0)
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 665 yields:
% 105.96/56.49 | (80) ~ (e3 = e0)
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (31), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (607) ~ (all_0_39_39 = e4)
% 105.96/56.49 |
% 105.96/56.49 | Equations (697) can reduce 607 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (697) all_0_39_39 = e4
% 105.96/56.49 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (86), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (854) all_0_28_28 = e4
% 105.96/56.49 |
% 105.96/56.49 | Equations (854) can reduce 883 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (883) ~ (all_0_28_28 = e4)
% 105.96/56.49 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (130), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1159) all_0_19_19 = e3
% 105.96/56.49 |
% 105.96/56.49 | Equations (1159) can reduce 1150 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (1150) ~ (all_0_19_19 = e3)
% 105.96/56.49 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (4772), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (4773) all_0_24_24 = e3
% 105.96/56.49 |
% 105.96/56.49 | Combining equations (488,4773) yields a new equation:
% 105.96/56.49 | (648) e3 = e0
% 105.96/56.49 |
% 105.96/56.49 | Equations (648) can reduce 80 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (1379) ~ (all_0_24_24 = e3)
% 105.96/56.49 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (4777), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (3056) all_0_29_29 = e3
% 105.96/56.49 |
% 105.96/56.49 | Equations (3056) can reduce 47 to:
% 105.96/56.49 | (893) ~ (all_0_28_28 = e3)
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (1021), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1106) all_0_28_28 = e3
% 105.96/56.49 |
% 105.96/56.49 | Equations (1106) can reduce 893 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (893) ~ (all_0_28_28 = e3)
% 105.96/56.49 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (1117), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1118) all_0_28_28 = e2
% 105.96/56.49 |
% 105.96/56.49 | Equations (1118) can reduce 477 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (477) ~ (all_0_28_28 = e2)
% 105.96/56.49 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (1121), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (1122) all_0_28_28 = e1
% 105.96/56.49 |
% 105.96/56.49 | Equations (1122) can reduce 434 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (434) ~ (all_0_28_28 = e1)
% 105.96/56.49 | (1125) all_0_28_28 = e0
% 105.96/56.49 |
% 105.96/56.49 | Equations (1125) can reduce 758 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (3115) ~ (all_0_29_29 = e3)
% 105.96/56.49 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 105.96/56.49 |
% 105.96/56.49 +-Applying beta-rule and splitting (4794), into two cases.
% 105.96/56.49 |-Branch one:
% 105.96/56.49 | (2571) all_0_34_34 = e3
% 105.96/56.49 |
% 105.96/56.49 | Combining equations (2551,2571) yields a new equation:
% 105.96/56.49 | (615) e3 = e2
% 105.96/56.49 |
% 105.96/56.49 | Equations (615) can reduce 52 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 105.96/56.49 |-Branch two:
% 105.96/56.49 | (583) ~ (all_0_34_34 = e3)
% 105.96/56.49 | (701) all_0_39_39 = e3
% 105.96/56.49 |
% 105.96/56.49 | Combining equations (697,701) yields a new equation:
% 105.96/56.49 | (596) e4 = e3
% 105.96/56.49 |
% 105.96/56.49 | Simplifying 596 yields:
% 105.96/56.49 | (597) e4 = e3
% 105.96/56.49 |
% 105.96/56.49 | Equations (597) can reduce 255 to:
% 105.96/56.49 | (400) $false
% 105.96/56.49 |
% 105.96/56.49 |-The branch is then unsatisfiable
% 106.03/56.49 |-Branch two:
% 106.03/56.49 | (1141) ~ (all_0_18_18 = e0)
% 106.03/56.49 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.03/56.49 |
% 106.03/56.49 +-Applying beta-rule and splitting (1142), into two cases.
% 106.03/56.49 |-Branch one:
% 106.03/56.49 | (4698) all_0_23_23 = e0
% 106.03/56.49 |
% 106.03/56.49 | Combining equations (4698,427) yields a new equation:
% 106.03/56.49 | (531) e1 = e0
% 106.03/56.49 |
% 106.03/56.49 | Equations (531) can reduce 40 to:
% 106.03/56.49 | (400) $false
% 106.03/56.49 |
% 106.03/56.49 |-The branch is then unsatisfiable
% 106.03/56.49 |-Branch two:
% 106.03/56.49 | (4702) ~ (all_0_23_23 = e0)
% 106.03/56.49 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.03/56.49 |
% 106.03/56.49 +-Applying beta-rule and splitting (1207), into two cases.
% 106.03/56.49 |-Branch one:
% 106.03/56.49 | (514) all_0_16_16 = e0
% 106.03/56.49 |
% 106.03/56.49 | Combining equations (454,514) yields a new equation:
% 106.03/56.49 | (743) e4 = e0
% 106.03/56.49 |
% 106.03/56.49 | Simplifying 743 yields:
% 106.03/56.49 | (515) e4 = e0
% 106.03/56.49 |
% 106.03/56.49 | Equations (515) can reduce 267 to:
% 106.03/56.49 | (400) $false
% 106.03/56.49 |
% 106.03/56.49 |-The branch is then unsatisfiable
% 106.03/56.49 |-Branch two:
% 106.03/56.49 | (517) ~ (all_0_16_16 = e0)
% 106.03/56.49 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.03/56.49 |
% 106.03/56.49 | Equations (454) can reduce 517 to:
% 106.03/56.49 | (267) ~ (e4 = e0)
% 106.03/56.49 |
% 106.03/56.49 +-Applying beta-rule and splitting (4703), into two cases.
% 106.03/56.49 |-Branch one:
% 106.03/56.49 | (1125) all_0_28_28 = e0
% 106.03/56.49 |
% 106.03/56.49 | Equations (1125) can reduce 758 to:
% 106.03/56.49 | (400) $false
% 106.03/56.49 |
% 106.03/56.49 |-The branch is then unsatisfiable
% 106.03/56.49 |-Branch two:
% 106.03/56.49 | (758) ~ (all_0_28_28 = e0)
% 106.03/56.49 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.03/56.49 |
% 106.03/56.49 +-Applying beta-rule and splitting (4707), into two cases.
% 106.03/56.49 |-Branch one:
% 106.03/56.49 | (1463) all_0_33_33 = e0
% 106.03/56.49 |
% 106.03/56.50 | Combining equations (1463,1322) yields a new equation:
% 106.03/56.50 | (515) e4 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (515) can reduce 267 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (2612) ~ (all_0_33_33 = e0)
% 106.03/56.50 | (3225) all_0_38_38 = e0
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (3225,3218) yields a new equation:
% 106.03/56.50 | (525) e2 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (525) can reduce 336 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (919) ~ (all_0_17_17 = e3)
% 106.03/56.50 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (920), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (921) all_0_22_22 = e3
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (442,921) yields a new equation:
% 106.03/56.50 | (615) e3 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (615) can reduce 52 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (925) ~ (all_0_22_22 = e3)
% 106.03/56.50 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (57), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1698) all_0_25_25 = e3
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (749,1698) yields a new equation:
% 106.03/56.50 | (648) e3 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (648) can reduce 80 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (577) ~ (all_0_25_25 = e3)
% 106.03/56.50 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 106.03/56.50 |
% 106.03/56.50 | Equations (749) can reduce 577 to:
% 106.03/56.50 | (665) ~ (e3 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 665 yields:
% 106.03/56.50 | (80) ~ (e3 = e0)
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (926), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (808) all_0_27_27 = e3
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (804,808) yields a new equation:
% 106.03/56.50 | (596) e4 = e3
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 596 yields:
% 106.03/56.50 | (597) e4 = e3
% 106.03/56.50 |
% 106.03/56.50 | Equations (597) can reduce 255 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (573) ~ (all_0_27_27 = e3)
% 106.03/56.50 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (931), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (629) all_0_32_32 = e3
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (658,629) yields a new equation:
% 106.03/56.50 | (648) e3 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (648) can reduce 80 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (579) ~ (all_0_32_32 = e3)
% 106.03/56.50 | (936) all_0_37_37 = e3
% 106.03/56.50 |
% 106.03/56.50 | Equations (936) can reduce 1127 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (1138) ~ (all_0_35_35 = e1)
% 106.03/56.50 | (1139) all_0_35_35 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (1139) can reduce 536 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (2728) ~ (all_0_38_38 = e2)
% 106.03/56.50 | (705) all_0_39_39 = e2
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (705,697) yields a new equation:
% 106.03/56.50 | (798) e4 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (798) can reduce 21 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (769) ~ (all_0_15_15 = e2)
% 106.03/56.50 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (160), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (711) all_0_15_15 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (711) can reduce 769 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (769) ~ (all_0_15_15 = e2)
% 106.03/56.50 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1235), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1236) all_0_16_16 = e2
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (1236,454) yields a new equation:
% 106.03/56.50 | (798) e4 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (798) can reduce 21 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (1239) ~ (all_0_16_16 = e2)
% 106.03/56.50 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (454) can reduce 1239 to:
% 106.03/56.50 | (21) ~ (e4 = e2)
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1240), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1177) all_0_17_17 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (1177) can reduce 396 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (396) ~ (all_0_17_17 = e2)
% 106.03/56.50 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1529), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1530) all_0_20_20 = e2
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (1530,500) yields a new equation:
% 106.03/56.50 | (798) e4 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (798) can reduce 21 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (444) ~ (all_0_20_20 = e2)
% 106.03/56.50 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1244), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1191) all_0_18_18 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (1191) can reduce 90 to:
% 106.03/56.50 | (769) ~ (all_0_15_15 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (1191) can reduce 9 to:
% 106.03/56.50 | (396) ~ (all_0_17_17 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (1191) can reduce 172 to:
% 106.03/56.50 | (716) ~ (all_0_19_19 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 716 yields:
% 106.03/56.50 | (706) ~ (all_0_19_19 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (1191) can reduce 302 to:
% 106.03/56.50 | (476) ~ (all_0_28_28 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 476 yields:
% 106.03/56.50 | (477) ~ (all_0_28_28 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (1191) can reduce 428 to:
% 106.03/56.50 | (310) ~ (e2 = e1)
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (92), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (736) all_0_15_15 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (736) can reduce 319 to:
% 106.03/56.50 | (3657) ~ (all_0_19_19 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 3657 yields:
% 106.03/56.50 | (489) ~ (all_0_19_19 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Equations (736) can reduce 42 to:
% 106.03/56.50 | (2657) ~ (all_0_25_25 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 2657 yields:
% 106.03/56.50 | (1054) ~ (all_0_25_25 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Equations (736) can reduce 501 to:
% 106.03/56.50 | (543) ~ (e4 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 543 yields:
% 106.03/56.50 | (267) ~ (e4 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Equations (736) can reduce 769 to:
% 106.03/56.50 | (496) ~ (e2 = e0)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 496 yields:
% 106.03/56.50 | (336) ~ (e2 = e0)
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (593), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1698) all_0_25_25 = e3
% 106.03/56.50 |
% 106.03/56.50 | Equations (1698) can reduce 577 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (577) ~ (all_0_25_25 = e3)
% 106.03/56.50 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (340), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (756) all_0_18_18 = e0
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (1191,756) yields a new equation:
% 106.03/56.50 | (524) e2 = e0
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 524 yields:
% 106.03/56.50 | (525) e2 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (525) can reduce 336 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (1141) ~ (all_0_18_18 = e0)
% 106.03/56.50 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1701), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (1536) all_0_25_25 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (1536) can reduce 473 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (473) ~ (all_0_25_25 = e2)
% 106.03/56.50 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (1142), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (4698) all_0_23_23 = e0
% 106.03/56.50 |
% 106.03/56.50 | Combining equations (427,4698) yields a new equation:
% 106.03/56.50 | (530) e1 = e0
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 530 yields:
% 106.03/56.50 | (531) e1 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (531) can reduce 40 to:
% 106.03/56.50 | (400) $false
% 106.03/56.50 |
% 106.03/56.50 |-The branch is then unsatisfiable
% 106.03/56.50 |-Branch two:
% 106.03/56.50 | (4702) ~ (all_0_23_23 = e0)
% 106.03/56.50 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.03/56.50 |
% 106.03/56.50 | Equations (427) can reduce 4702 to:
% 106.03/56.50 | (40) ~ (e1 = e0)
% 106.03/56.50 |
% 106.03/56.50 +-Applying beta-rule and splitting (121), into two cases.
% 106.03/56.50 |-Branch one:
% 106.03/56.50 | (732) all_0_35_35 = e2
% 106.03/56.50 |
% 106.03/56.50 | Equations (732) can reduce 194 to:
% 106.03/56.50 | (473) ~ (all_0_25_25 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (732) can reduce 309 to:
% 106.03/56.50 | (449) ~ (all_0_37_37 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Simplifying 449 yields:
% 106.03/56.50 | (450) ~ (all_0_37_37 = e2)
% 106.03/56.50 |
% 106.03/56.50 | Equations (732) can reduce 210 to:
% 106.03/56.50 | (2727) ~ (all_0_38_38 = e2)
% 106.03/56.50 |
% 106.03/56.51 | Simplifying 2727 yields:
% 106.03/56.51 | (2728) ~ (all_0_38_38 = e2)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (148), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (761) all_0_35_35 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (732,761) yields a new equation:
% 106.03/56.51 | (620) e2 = e1
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 620 yields:
% 106.03/56.51 | (621) e2 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (621) can reduce 310 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (1138) ~ (all_0_35_35 = e1)
% 106.03/56.51 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (114), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (969) all_0_15_15 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (969,736) yields a new equation:
% 106.03/56.51 | (530) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 530 yields:
% 106.03/56.51 | (531) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Equations (531) can reduce 40 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (679) ~ (all_0_15_15 = e1)
% 106.03/56.51 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (736) can reduce 679 to:
% 106.03/56.51 | (498) ~ (e1 = e0)
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 498 yields:
% 106.03/56.51 | (40) ~ (e1 = e0)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (333), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (1846) all_0_38_38 = e4
% 106.03/56.51 |
% 106.03/56.51 | Equations (1846) can reduce 1835 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (1835) ~ (all_0_38_38 = e4)
% 106.03/56.51 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (1402), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (1490) all_0_20_20 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (1490,500) yields a new equation:
% 106.03/56.51 | (838) e4 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (838) can reduce 56 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (429) ~ (all_0_20_20 = e1)
% 106.03/56.51 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (500) can reduce 429 to:
% 106.03/56.51 | (56) ~ (e4 = e1)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (4931), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (4950) all_0_36_36 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (4950,534) yields a new equation:
% 106.03/56.51 | (530) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 530 yields:
% 106.03/56.51 | (531) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Equations (531) can reduce 40 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (423) ~ (all_0_36_36 = e1)
% 106.03/56.51 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (3213), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (3208) all_0_38_38 = e3
% 106.03/56.51 |
% 106.03/56.51 | Equations (3208) can reduce 97 to:
% 106.03/56.51 | (1127) ~ (all_0_37_37 = e3)
% 106.03/56.51 |
% 106.03/56.51 | Equations (3208) can reduce 438 to:
% 106.03/56.51 | (298) ~ (e3 = e1)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (4955), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (1112) all_0_37_37 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (1112) can reduce 282 to:
% 106.03/56.51 | (817) ~ (all_0_17_17 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Equations (1112) can reduce 1127 to:
% 106.03/56.51 | (824) ~ (e3 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 824 yields:
% 106.03/56.51 | (298) ~ (e3 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Equations (1112) can reduce 450 to:
% 106.03/56.51 | (766) ~ (e2 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 766 yields:
% 106.03/56.51 | (310) ~ (e2 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Equations (1112) can reduce 538 to:
% 106.03/56.51 | (40) ~ (e1 = e0)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (305), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (969) all_0_15_15 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (969,736) yields a new equation:
% 106.03/56.51 | (530) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 530 yields:
% 106.03/56.51 | (531) e1 = e0
% 106.03/56.51 |
% 106.03/56.51 | Equations (531) can reduce 40 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (679) ~ (all_0_15_15 = e1)
% 106.03/56.51 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (1494), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (1495) all_0_25_25 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (1495) can reduce 505 to:
% 106.03/56.51 | (764) ~ (e4 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 764 yields:
% 106.03/56.51 | (56) ~ (e4 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Equations (1495) can reduce 473 to:
% 106.03/56.51 | (766) ~ (e2 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 766 yields:
% 106.03/56.51 | (310) ~ (e2 = e1)
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (973), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (974) all_0_16_16 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (974,454) yields a new equation:
% 106.03/56.51 | (838) e4 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (838) can reduce 56 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (415) ~ (all_0_16_16 = e1)
% 106.03/56.51 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (979), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (980) all_0_17_17 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (980) can reduce 817 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (817) ~ (all_0_17_17 = e1)
% 106.03/56.51 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (983), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (984) all_0_18_18 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (984,1191) yields a new equation:
% 106.03/56.51 | (621) e2 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (621) can reduce 310 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (428) ~ (all_0_18_18 = e1)
% 106.03/56.51 | (829) all_0_19_19 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (108), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (739) ~ (all_0_15_15 = e0)
% 106.03/56.51 |
% 106.03/56.51 | Equations (736) can reduce 739 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (736) all_0_15_15 = e0
% 106.03/56.51 | (2763) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (2763), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (3540) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (3540), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (3541) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12
% 106.03/56.51 |
% 106.03/56.51 | Applying alpha-rule on (3541) yields:
% 106.03/56.51 | (3542) all_0_13_13 = all_0_19_19
% 106.03/56.51 | (1039) ~ (all_0_12_12 = e3)
% 106.03/56.51 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 106.03/56.51 |
% 106.03/56.51 | From (829) and (3544) follows:
% 106.03/56.51 | (1043) op(e1, e4) = all_0_12_12
% 106.03/56.51 |
% 106.03/56.51 | Instantiating formula (29) with e1, e4, all_0_12_12, e3 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e3, yields:
% 106.03/56.51 | (1044) all_0_12_12 = e3
% 106.03/56.51 |
% 106.03/56.51 | Equations (1044) can reduce 1039 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Applying alpha-rule on (3548) yields:
% 106.03/56.51 | (3542) all_0_13_13 = all_0_19_19
% 106.03/56.51 | (943) ~ (all_0_19_19 = e1)
% 106.03/56.51 |
% 106.03/56.51 | Equations (829) can reduce 943 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (3552) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2)
% 106.03/56.51 |
% 106.03/56.51 | Applying alpha-rule on (3552) yields:
% 106.03/56.51 | (3553) all_0_14_14 = all_0_35_35
% 106.03/56.51 | (719) ~ (all_0_35_35 = e2)
% 106.03/56.51 |
% 106.03/56.51 | Equations (732) can reduce 719 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (1519) ~ (all_0_25_25 = e1)
% 106.03/56.51 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (1520), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.51 | (1521) all_0_30_30 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (575,1521) yields a new equation:
% 106.03/56.51 | (1113) e3 = e1
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 1113 yields:
% 106.03/56.51 | (928) e3 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (928) can reduce 298 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (417) ~ (all_0_30_30 = e1)
% 106.03/56.51 | (761) all_0_35_35 = e1
% 106.03/56.51 |
% 106.03/56.51 | Combining equations (732,761) yields a new equation:
% 106.03/56.51 | (620) e2 = e1
% 106.03/56.51 |
% 106.03/56.51 | Simplifying 620 yields:
% 106.03/56.51 | (621) e2 = e1
% 106.03/56.51 |
% 106.03/56.51 | Equations (621) can reduce 310 to:
% 106.03/56.51 | (400) $false
% 106.03/56.51 |
% 106.03/56.51 |-The branch is then unsatisfiable
% 106.03/56.51 |-Branch two:
% 106.03/56.51 | (763) ~ (all_0_37_37 = e1)
% 106.03/56.51 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.03/56.51 |
% 106.03/56.51 +-Applying beta-rule and splitting (5023), into two cases.
% 106.03/56.51 |-Branch one:
% 106.03/56.52 | (3222) all_0_38_38 = e1
% 106.03/56.52 |
% 106.03/56.52 | Combining equations (3222,3208) yields a new equation:
% 106.03/56.52 | (928) e3 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (928) can reduce 298 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (438) ~ (all_0_38_38 = e1)
% 106.03/56.52 | (1252) all_0_39_39 = e1
% 106.03/56.52 |
% 106.03/56.52 | Combining equations (697,1252) yields a new equation:
% 106.03/56.52 | (975) e4 = e1
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 975 yields:
% 106.03/56.52 | (838) e4 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (838) can reduce 56 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (3095) ~ (all_0_38_38 = e3)
% 106.03/56.52 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (3217), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (3218) all_0_38_38 = e2
% 106.03/56.52 |
% 106.03/56.52 | Equations (3218) can reduce 2728 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (2728) ~ (all_0_38_38 = e2)
% 106.03/56.52 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (3221), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (3222) all_0_38_38 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (3222) can reduce 438 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (438) ~ (all_0_38_38 = e1)
% 106.03/56.52 | (3225) all_0_38_38 = e0
% 106.03/56.52 |
% 106.03/56.52 | Equations (3225) can reduce 540 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (719) ~ (all_0_35_35 = e2)
% 106.03/56.52 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (1705), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1495) all_0_25_25 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (1495) can reduce 185 to:
% 106.03/56.52 | (433) ~ (all_0_28_28 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 433 yields:
% 106.03/56.52 | (434) ~ (all_0_28_28 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Equations (1495) can reduce 7 to:
% 106.03/56.52 | (5048) ~ (all_0_29_29 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 5048 yields:
% 106.03/56.52 | (2946) ~ (all_0_29_29 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Equations (1495) can reduce 194 to:
% 106.03/56.52 | (3855) ~ (all_0_35_35 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 3855 yields:
% 106.03/56.52 | (1138) ~ (all_0_35_35 = e1)
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (128), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (724) all_0_35_35 = e4
% 106.03/56.52 |
% 106.03/56.52 | Equations (724) can reduce 509 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (509) ~ (all_0_35_35 = e4)
% 106.03/56.52 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (88), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (941) all_0_29_29 = e4
% 106.03/56.52 |
% 106.03/56.52 | Equations (941) can reduce 603 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (603) ~ (all_0_29_29 = e4)
% 106.03/56.52 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (148), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (761) all_0_35_35 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (761) can reduce 1138 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (1138) ~ (all_0_35_35 = e1)
% 106.03/56.52 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (4703), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1125) all_0_28_28 = e0
% 106.03/56.52 |
% 106.03/56.52 | Equations (1125) can reduce 47 to:
% 106.03/56.52 | (492) ~ (all_0_29_29 = e0)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 492 yields:
% 106.03/56.52 | (493) ~ (all_0_29_29 = e0)
% 106.03/56.52 |
% 106.03/56.52 | Equations (1125) can reduce 477 to:
% 106.03/56.52 | (496) ~ (e2 = e0)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 496 yields:
% 106.03/56.52 | (336) ~ (e2 = e0)
% 106.03/56.52 |
% 106.03/56.52 | Equations (1125) can reduce 434 to:
% 106.03/56.52 | (498) ~ (e1 = e0)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 498 yields:
% 106.03/56.52 | (40) ~ (e1 = e0)
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (4931), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (4950) all_0_36_36 = e1
% 106.03/56.52 |
% 106.03/56.52 | Combining equations (534,4950) yields a new equation:
% 106.03/56.52 | (531) e1 = e0
% 106.03/56.52 |
% 106.03/56.52 | Equations (531) can reduce 40 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (423) ~ (all_0_36_36 = e1)
% 106.03/56.52 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (5059), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (3056) all_0_29_29 = e3
% 106.03/56.52 |
% 106.03/56.52 | Equations (3056) can reduce 174 to:
% 106.03/56.52 | (1150) ~ (all_0_19_19 = e3)
% 106.03/56.52 |
% 106.03/56.52 | Equations (3056) can reduce 603 to:
% 106.03/56.52 | (558) ~ (e4 = e3)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 558 yields:
% 106.03/56.52 | (255) ~ (e4 = e3)
% 106.03/56.52 |
% 106.03/56.52 | Equations (3056) can reduce 479 to:
% 106.03/56.52 | (52) ~ (e3 = e2)
% 106.03/56.52 |
% 106.03/56.52 | Equations (3056) can reduce 493 to:
% 106.03/56.52 | (80) ~ (e3 = e0)
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (332), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1151) all_0_19_19 = e4
% 106.03/56.52 |
% 106.03/56.52 | Equations (1151) can reduce 460 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (460) ~ (all_0_19_19 = e4)
% 106.03/56.52 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (1154), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1159) all_0_19_19 = e3
% 106.03/56.52 |
% 106.03/56.52 | Equations (1159) can reduce 1150 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (1150) ~ (all_0_19_19 = e3)
% 106.03/56.52 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (1162), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1163) all_0_19_19 = e2
% 106.03/56.52 |
% 106.03/56.52 | Equations (1163) can reduce 706 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (706) ~ (all_0_19_19 = e2)
% 106.03/56.52 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (1166), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (829) all_0_19_19 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (829) can reduce 460 to:
% 106.03/56.52 | (764) ~ (e4 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 764 yields:
% 106.03/56.52 | (56) ~ (e4 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Equations (829) can reduce 1150 to:
% 106.03/56.52 | (824) ~ (e3 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 824 yields:
% 106.03/56.52 | (298) ~ (e3 = e1)
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (727), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (728) all_0_35_35 = e3
% 106.03/56.52 |
% 106.03/56.52 | Equations (728) can reduce 585 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (585) ~ (all_0_35_35 = e3)
% 106.03/56.52 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (4955), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (1112) all_0_37_37 = e1
% 106.03/56.52 |
% 106.03/56.52 | Equations (1112) can reduce 450 to:
% 106.03/56.52 | (766) ~ (e2 = e1)
% 106.03/56.52 |
% 106.03/56.52 | Simplifying 766 yields:
% 106.03/56.52 | (310) ~ (e2 = e1)
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (254), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (728) all_0_35_35 = e3
% 106.03/56.52 |
% 106.03/56.52 | Equations (728) can reduce 585 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (585) ~ (all_0_35_35 = e3)
% 106.03/56.52 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.03/56.52 |
% 106.03/56.52 +-Applying beta-rule and splitting (253), into two cases.
% 106.03/56.52 |-Branch one:
% 106.03/56.52 | (785) ~ (all_0_27_27 = e4)
% 106.03/56.52 |
% 106.03/56.52 | Equations (804) can reduce 785 to:
% 106.03/56.52 | (400) $false
% 106.03/56.52 |
% 106.03/56.52 |-The branch is then unsatisfiable
% 106.03/56.52 |-Branch two:
% 106.03/56.52 | (804) all_0_27_27 = e4
% 106.03/56.52 | (998) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 106.14/56.52 |
% 106.14/56.53 +-Applying beta-rule and splitting (4535), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (4536) all_0_36_36 = e3
% 106.14/56.53 |
% 106.14/56.53 | Combining equations (4536,534) yields a new equation:
% 106.14/56.53 | (647) e3 = e0
% 106.14/56.53 |
% 106.14/56.53 | Simplifying 647 yields:
% 106.14/56.53 | (648) e3 = e0
% 106.14/56.53 |
% 106.14/56.53 | Equations (648) can reduce 80 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (4540) ~ (all_0_36_36 = e3)
% 106.14/56.53 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.14/56.53 |
% 106.14/56.53 | Equations (534) can reduce 4540 to:
% 106.14/56.53 | (665) ~ (e3 = e0)
% 106.14/56.53 |
% 106.14/56.53 | Simplifying 665 yields:
% 106.14/56.53 | (80) ~ (e3 = e0)
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (142), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (855) all_0_17_17 = e3
% 106.14/56.53 |
% 106.14/56.53 | Equations (855) can reduce 396 to:
% 106.14/56.53 | (52) ~ (e3 = e2)
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (1477), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (1478) all_0_36_36 = e2
% 106.14/56.53 |
% 106.14/56.53 | Combining equations (1478,534) yields a new equation:
% 106.14/56.53 | (524) e2 = e0
% 106.14/56.53 |
% 106.14/56.53 | Simplifying 524 yields:
% 106.14/56.53 | (525) e2 = e0
% 106.14/56.53 |
% 106.14/56.53 | Equations (525) can reduce 336 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (481) ~ (all_0_36_36 = e2)
% 106.14/56.53 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (731), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (732) all_0_35_35 = e2
% 106.14/56.53 |
% 106.14/56.53 | Equations (732) can reduce 719 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (719) ~ (all_0_35_35 = e2)
% 106.14/56.53 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (1482), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (1129) all_0_37_37 = e2
% 106.14/56.53 |
% 106.14/56.53 | Combining equations (1112,1129) yields a new equation:
% 106.14/56.53 | (621) e2 = e1
% 106.14/56.53 |
% 106.14/56.53 | Equations (621) can reduce 310 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (450) ~ (all_0_37_37 = e2)
% 106.14/56.53 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 106.14/56.53 |
% 106.14/56.53 | Equations (1112) can reduce 450 to:
% 106.14/56.53 | (766) ~ (e2 = e1)
% 106.14/56.53 |
% 106.14/56.53 | Simplifying 766 yields:
% 106.14/56.53 | (310) ~ (e2 = e1)
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (1535), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (1536) all_0_25_25 = e2
% 106.14/56.53 |
% 106.14/56.53 | Combining equations (1495,1536) yields a new equation:
% 106.14/56.53 | (621) e2 = e1
% 106.14/56.53 |
% 106.14/56.53 | Equations (621) can reduce 310 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (473) ~ (all_0_25_25 = e2)
% 106.14/56.53 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 106.14/56.53 |
% 106.14/56.53 +-Applying beta-rule and splitting (1539), into two cases.
% 106.14/56.53 |-Branch one:
% 106.14/56.53 | (613) all_0_30_30 = e2
% 106.14/56.53 |
% 106.14/56.53 | Combining equations (575,613) yields a new equation:
% 106.14/56.53 | (614) e3 = e2
% 106.14/56.53 |
% 106.14/56.53 | Simplifying 614 yields:
% 106.14/56.53 | (615) e3 = e2
% 106.14/56.53 |
% 106.14/56.53 | Equations (615) can reduce 52 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.14/56.53 | (617) ~ (all_0_30_30 = e2)
% 106.14/56.53 | (732) all_0_35_35 = e2
% 106.14/56.53 |
% 106.14/56.53 | Equations (732) can reduce 719 to:
% 106.14/56.53 | (400) $false
% 106.14/56.53 |
% 106.14/56.53 |-The branch is then unsatisfiable
% 106.14/56.53 |-Branch two:
% 106.15/56.53 | (919) ~ (all_0_17_17 = e3)
% 106.15/56.53 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (4541), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (936) all_0_37_37 = e3
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (1112,936) yields a new equation:
% 106.15/56.53 | (928) e3 = e1
% 106.15/56.53 |
% 106.15/56.53 | Equations (928) can reduce 298 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (1127) ~ (all_0_37_37 = e3)
% 106.15/56.53 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 106.15/56.53 |
% 106.15/56.53 | Equations (1112) can reduce 1127 to:
% 106.15/56.53 | (824) ~ (e3 = e1)
% 106.15/56.53 |
% 106.15/56.53 | Simplifying 824 yields:
% 106.15/56.53 | (298) ~ (e3 = e1)
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (920), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (921) all_0_22_22 = e3
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (921,442) yields a new equation:
% 106.15/56.53 | (614) e3 = e2
% 106.15/56.53 |
% 106.15/56.53 | Simplifying 614 yields:
% 106.15/56.53 | (615) e3 = e2
% 106.15/56.53 |
% 106.15/56.53 | Equations (615) can reduce 52 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (925) ~ (all_0_22_22 = e3)
% 106.15/56.53 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (926), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (808) all_0_27_27 = e3
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (804,808) yields a new equation:
% 106.15/56.53 | (596) e4 = e3
% 106.15/56.53 |
% 106.15/56.53 | Simplifying 596 yields:
% 106.15/56.53 | (597) e4 = e3
% 106.15/56.53 |
% 106.15/56.53 | Equations (597) can reduce 255 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (573) ~ (all_0_27_27 = e3)
% 106.15/56.53 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (931), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (629) all_0_32_32 = e3
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (658,629) yields a new equation:
% 106.15/56.53 | (648) e3 = e0
% 106.15/56.53 |
% 106.15/56.53 | Equations (648) can reduce 80 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (579) ~ (all_0_32_32 = e3)
% 106.15/56.53 | (936) all_0_37_37 = e3
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (1112,936) yields a new equation:
% 106.15/56.53 | (928) e3 = e1
% 106.15/56.53 |
% 106.15/56.53 | Equations (928) can reduce 298 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (763) ~ (all_0_37_37 = e1)
% 106.15/56.53 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (12), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (607) ~ (all_0_39_39 = e4)
% 106.15/56.53 |
% 106.15/56.53 | Equations (697) can reduce 607 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (697) all_0_39_39 = e4
% 106.15/56.53 | (5186) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (5023), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (3222) all_0_38_38 = e1
% 106.15/56.53 |
% 106.15/56.53 | Equations (3222) can reduce 438 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.53 | (1252) all_0_39_39 = e1
% 106.15/56.53 |
% 106.15/56.53 | Combining equations (697,1252) yields a new equation:
% 106.15/56.53 | (975) e4 = e1
% 106.15/56.53 |
% 106.15/56.53 | Simplifying 975 yields:
% 106.15/56.53 | (838) e4 = e1
% 106.15/56.53 |
% 106.15/56.53 | Equations (838) can reduce 56 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (943) ~ (all_0_19_19 = e1)
% 106.15/56.53 | (1187) all_0_19_19 = e0
% 106.15/56.53 |
% 106.15/56.53 | Equations (1187) can reduce 489 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (3115) ~ (all_0_29_29 = e3)
% 106.15/56.53 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (5198), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (5199) all_0_29_29 = e2
% 106.15/56.53 |
% 106.15/56.53 | Equations (5199) can reduce 479 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (479) ~ (all_0_29_29 = e2)
% 106.15/56.53 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 106.15/56.53 |
% 106.15/56.53 +-Applying beta-rule and splitting (5202), into two cases.
% 106.15/56.53 |-Branch one:
% 106.15/56.53 | (4599) all_0_29_29 = e1
% 106.15/56.53 |
% 106.15/56.53 | Equations (4599) can reduce 2946 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.53 |-Branch two:
% 106.15/56.53 | (2946) ~ (all_0_29_29 = e1)
% 106.15/56.53 | (5206) all_0_29_29 = e0
% 106.15/56.53 |
% 106.15/56.53 | Equations (5206) can reduce 493 to:
% 106.15/56.53 | (400) $false
% 106.15/56.53 |
% 106.15/56.53 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.54 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (4707), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1463) all_0_33_33 = e0
% 106.15/56.54 |
% 106.15/56.54 | Combining equations (1463,1322) yields a new equation:
% 106.15/56.54 | (515) e4 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (515) can reduce 267 to:
% 106.15/56.54 | (400) $false
% 106.15/56.54 |
% 106.15/56.54 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (2612) ~ (all_0_33_33 = e0)
% 106.15/56.54 | (3225) all_0_38_38 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (3225) can reduce 540 to:
% 106.15/56.54 | (400) $false
% 106.15/56.54 |
% 106.15/56.54 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.54 | (749) all_0_25_25 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (749) can reduce 1054 to:
% 106.15/56.54 | (400) $false
% 106.15/56.54 |
% 106.15/56.54 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (739) ~ (all_0_15_15 = e0)
% 106.15/56.54 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (123), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (736) all_0_15_15 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (736) can reduce 739 to:
% 106.15/56.54 | (400) $false
% 106.15/56.54 |
% 106.15/56.54 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (739) ~ (all_0_15_15 = e0)
% 106.15/56.54 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (740), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (742) all_0_20_20 = e0
% 106.15/56.54 |
% 106.15/56.54 | Combining equations (742,500) yields a new equation:
% 106.15/56.54 | (515) e4 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (515) can reduce 267 to:
% 106.15/56.54 | (400) $false
% 106.15/56.54 |
% 106.15/56.54 |-The branch is then unsatisfiable
% 106.15/56.54 |-Branch two:
% 106.15/56.54 | (490) ~ (all_0_20_20 = e0)
% 106.15/56.54 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.15/56.54 |
% 106.15/56.54 | Equations (500) can reduce 490 to:
% 106.15/56.54 | (267) ~ (e4 = e0)
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (251), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1278), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1279), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1280), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1281), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1282), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1283), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1284), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1285), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 106.15/56.54 |
% 106.15/56.54 +-Applying beta-rule and splitting (1286), into two cases.
% 106.15/56.54 |-Branch one:
% 106.15/56.54 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1287), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1288), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1289), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1290), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1291), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1292), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1293), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1294), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1295), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Applying alpha-rule on (1296) yields:
% 106.15/56.55 | (1297) all_0_15_15 = e3
% 106.15/56.55 | (550) all_0_21_21 = e4
% 106.15/56.55 | (1299) ~ (all_0_16_16 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (557,550) yields a new equation:
% 106.15/56.55 | (597) e4 = e3
% 106.15/56.55 |
% 106.15/56.55 | Equations (597) can reduce 255 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 106.15/56.55 |
% 106.15/56.55 | Applying alpha-rule on (1303) yields:
% 106.15/56.55 | (1297) all_0_15_15 = e3
% 106.15/56.55 | (550) all_0_21_21 = e4
% 106.15/56.55 | (1306) ~ (all_0_20_20 = e3)
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (557,550) yields a new equation:
% 106.15/56.55 | (597) e4 = e3
% 106.15/56.55 |
% 106.15/56.55 | Equations (597) can reduce 255 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Applying alpha-rule on (1310) yields:
% 106.15/56.55 | (711) all_0_15_15 = e2
% 106.15/56.55 | (804) all_0_27_27 = e4
% 106.15/56.55 | (456) ~ (all_0_17_17 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Equations (711) can reduce 769 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 106.15/56.55 |
% 106.15/56.55 | Applying alpha-rule on (1315) yields:
% 106.15/56.55 | (711) all_0_15_15 = e2
% 106.15/56.55 | (804) all_0_27_27 = e4
% 106.15/56.55 | (473) ~ (all_0_25_25 = e2)
% 106.15/56.55 |
% 106.15/56.55 | Equations (711) can reduce 769 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Applying alpha-rule on (1320) yields:
% 106.15/56.55 | (969) all_0_15_15 = e1
% 106.15/56.55 | (1322) all_0_33_33 = e4
% 106.15/56.55 | (458) ~ (all_0_18_18 = e4)
% 106.15/56.55 |
% 106.15/56.55 | Equations (969) can reduce 42 to:
% 106.15/56.55 | (5275) ~ (all_0_25_25 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 5275 yields:
% 106.15/56.55 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (969) can reduce 39 to:
% 106.15/56.55 | (3855) ~ (all_0_35_35 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 3855 yields:
% 106.15/56.55 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (969) can reduce 501 to:
% 106.15/56.55 | (764) ~ (e4 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 764 yields:
% 106.15/56.55 | (56) ~ (e4 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (969) can reduce 739 to:
% 106.15/56.55 | (40) ~ (e1 = e0)
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (340), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (756) all_0_18_18 = e0
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (756,1191) yields a new equation:
% 106.15/56.55 | (525) e2 = e0
% 106.15/56.55 |
% 106.15/56.55 | Equations (525) can reduce 336 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1141) ~ (all_0_18_18 = e0)
% 106.15/56.55 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (43), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1495) all_0_25_25 = e1
% 106.15/56.55 |
% 106.15/56.55 | Equations (1495) can reduce 1519 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.55 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (128), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (724) all_0_35_35 = e4
% 106.15/56.55 |
% 106.15/56.55 | Equations (724) can reduce 509 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (509) ~ (all_0_35_35 = e4)
% 106.15/56.55 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (1142), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (4698) all_0_23_23 = e0
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (4698,427) yields a new equation:
% 106.15/56.55 | (531) e1 = e0
% 106.15/56.55 |
% 106.15/56.55 | Equations (531) can reduce 40 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (4702) ~ (all_0_23_23 = e0)
% 106.15/56.55 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (727), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (728) all_0_35_35 = e3
% 106.15/56.55 |
% 106.15/56.55 | Equations (728) can reduce 585 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (585) ~ (all_0_35_35 = e3)
% 106.15/56.55 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (731), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (732) all_0_35_35 = e2
% 106.15/56.55 |
% 106.15/56.55 | Equations (732) can reduce 210 to:
% 106.15/56.55 | (2727) ~ (all_0_38_38 = e2)
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 2727 yields:
% 106.15/56.55 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.55 |
% 106.15/56.55 | Equations (732) can reduce 1138 to:
% 106.15/56.55 | (310) ~ (e2 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (732) can reduce 536 to:
% 106.15/56.55 | (336) ~ (e2 = e0)
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (4556), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (4559) all_0_26_26 = e1
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (471,4559) yields a new equation:
% 106.15/56.55 | (620) e2 = e1
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 620 yields:
% 106.15/56.55 | (621) e2 = e1
% 106.15/56.55 |
% 106.15/56.55 | Equations (621) can reduce 310 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (416) ~ (all_0_26_26 = e1)
% 106.15/56.55 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (4563), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (816) all_0_27_27 = e1
% 106.15/56.55 |
% 106.15/56.55 | Combining equations (804,816) yields a new equation:
% 106.15/56.55 | (975) e4 = e1
% 106.15/56.55 |
% 106.15/56.55 | Simplifying 975 yields:
% 106.15/56.55 | (838) e4 = e1
% 106.15/56.55 |
% 106.15/56.55 | Equations (838) can reduce 56 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (857) ~ (all_0_27_27 = e1)
% 106.15/56.55 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.55 |
% 106.15/56.55 +-Applying beta-rule and splitting (4568), into two cases.
% 106.15/56.55 |-Branch one:
% 106.15/56.55 | (1122) all_0_28_28 = e1
% 106.15/56.55 |
% 106.15/56.55 | Equations (1122) can reduce 434 to:
% 106.15/56.55 | (400) $false
% 106.15/56.55 |
% 106.15/56.55 |-The branch is then unsatisfiable
% 106.15/56.55 |-Branch two:
% 106.15/56.55 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.55 | (4599) all_0_29_29 = e1
% 106.15/56.55 |
% 106.15/56.55 | Equations (4599) can reduce 174 to:
% 106.15/56.55 | (943) ~ (all_0_19_19 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (4599) can reduce 7 to:
% 106.15/56.55 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.55 |
% 106.15/56.55 | Equations (4599) can reduce 47 to:
% 106.15/56.55 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.55 |
% 106.15/56.56 | Equations (4599) can reduce 603 to:
% 106.15/56.56 | (764) ~ (e4 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 764 yields:
% 106.15/56.56 | (56) ~ (e4 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Equations (4599) can reduce 479 to:
% 106.15/56.56 | (766) ~ (e2 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 766 yields:
% 106.15/56.56 | (310) ~ (e2 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Equations (4599) can reduce 493 to:
% 106.15/56.56 | (40) ~ (e1 = e0)
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (288), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (607) ~ (all_0_39_39 = e4)
% 106.15/56.56 |
% 106.15/56.56 | Equations (697) can reduce 607 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (697) all_0_39_39 = e4
% 106.15/56.56 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (4703), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1125) all_0_28_28 = e0
% 106.15/56.56 |
% 106.15/56.56 | Equations (1125) can reduce 207 to:
% 106.15/56.56 | (539) ~ (all_0_38_38 = e0)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 539 yields:
% 106.15/56.56 | (540) ~ (all_0_38_38 = e0)
% 106.15/56.56 |
% 106.15/56.56 | Equations (1125) can reduce 434 to:
% 106.15/56.56 | (498) ~ (e1 = e0)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 498 yields:
% 106.15/56.56 | (40) ~ (e1 = e0)
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (148), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (761) all_0_35_35 = e1
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (732,761) yields a new equation:
% 106.15/56.56 | (620) e2 = e1
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 620 yields:
% 106.15/56.56 | (621) e2 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (621) can reduce 310 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.56 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (4931), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (4950) all_0_36_36 = e1
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (4950,534) yields a new equation:
% 106.15/56.56 | (530) e1 = e0
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 530 yields:
% 106.15/56.56 | (531) e1 = e0
% 106.15/56.56 |
% 106.15/56.56 | Equations (531) can reduce 40 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (423) ~ (all_0_36_36 = e1)
% 106.15/56.56 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (4955), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1112) all_0_37_37 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (1112) can reduce 97 to:
% 106.15/56.56 | (437) ~ (all_0_38_38 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 437 yields:
% 106.15/56.56 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (332), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1151) all_0_19_19 = e4
% 106.15/56.56 |
% 106.15/56.56 | Equations (1151) can reduce 460 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (460) ~ (all_0_19_19 = e4)
% 106.15/56.56 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (333), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1846) all_0_38_38 = e4
% 106.15/56.56 |
% 106.15/56.56 | Equations (1846) can reduce 1835 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (1835) ~ (all_0_38_38 = e4)
% 106.15/56.56 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (130), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1159) all_0_19_19 = e3
% 106.15/56.56 |
% 106.15/56.56 | Equations (1159) can reduce 131 to:
% 106.15/56.56 | (919) ~ (all_0_17_17 = e3)
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (3213), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (3208) all_0_38_38 = e3
% 106.15/56.56 |
% 106.15/56.56 | Equations (3208) can reduce 1835 to:
% 106.15/56.56 | (558) ~ (e4 = e3)
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 558 yields:
% 106.15/56.56 | (255) ~ (e4 = e3)
% 106.15/56.56 |
% 106.15/56.56 | Equations (3208) can reduce 2728 to:
% 106.15/56.56 | (52) ~ (e3 = e2)
% 106.15/56.56 |
% 106.15/56.56 | Equations (3208) can reduce 438 to:
% 106.15/56.56 | (298) ~ (e3 = e1)
% 106.15/56.56 |
% 106.15/56.56 | Equations (3208) can reduce 540 to:
% 106.15/56.56 | (80) ~ (e3 = e0)
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (142), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (855) all_0_17_17 = e3
% 106.15/56.56 |
% 106.15/56.56 | Equations (855) can reduce 919 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (919) ~ (all_0_17_17 = e3)
% 106.15/56.56 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (920), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (921) all_0_22_22 = e3
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (921,442) yields a new equation:
% 106.15/56.56 | (614) e3 = e2
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 614 yields:
% 106.15/56.56 | (615) e3 = e2
% 106.15/56.56 |
% 106.15/56.56 | Equations (615) can reduce 52 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (925) ~ (all_0_22_22 = e3)
% 106.15/56.56 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (926), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (808) all_0_27_27 = e3
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (804,808) yields a new equation:
% 106.15/56.56 | (596) e4 = e3
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 596 yields:
% 106.15/56.56 | (597) e4 = e3
% 106.15/56.56 |
% 106.15/56.56 | Equations (597) can reduce 255 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (573) ~ (all_0_27_27 = e3)
% 106.15/56.56 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (931), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (629) all_0_32_32 = e3
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (658,629) yields a new equation:
% 106.15/56.56 | (648) e3 = e0
% 106.15/56.56 |
% 106.15/56.56 | Equations (648) can reduce 80 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (579) ~ (all_0_32_32 = e3)
% 106.15/56.56 | (936) all_0_37_37 = e3
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (936,1112) yields a new equation:
% 106.15/56.56 | (1113) e3 = e1
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 1113 yields:
% 106.15/56.56 | (928) e3 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (928) can reduce 298 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (3095) ~ (all_0_38_38 = e3)
% 106.15/56.56 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (3217), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (3218) all_0_38_38 = e2
% 106.15/56.56 |
% 106.15/56.56 | Equations (3218) can reduce 2728 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.56 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (3221), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (3222) all_0_38_38 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (3222) can reduce 438 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.56 | (3225) all_0_38_38 = e0
% 106.15/56.56 |
% 106.15/56.56 | Equations (3225) can reduce 540 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (1150) ~ (all_0_19_19 = e3)
% 106.15/56.56 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (1154), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1159) all_0_19_19 = e3
% 106.15/56.56 |
% 106.15/56.56 | Equations (1159) can reduce 1150 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (1150) ~ (all_0_19_19 = e3)
% 106.15/56.56 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (1162), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (1163) all_0_19_19 = e2
% 106.15/56.56 |
% 106.15/56.56 | Equations (1163) can reduce 706 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (706) ~ (all_0_19_19 = e2)
% 106.15/56.56 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (1166), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (829) all_0_19_19 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (829) can reduce 943 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (943) ~ (all_0_19_19 = e1)
% 106.15/56.56 | (1187) all_0_19_19 = e0
% 106.15/56.56 |
% 106.15/56.56 | Equations (1187) can reduce 489 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (763) ~ (all_0_37_37 = e1)
% 106.15/56.56 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.56 |
% 106.15/56.56 +-Applying beta-rule and splitting (5023), into two cases.
% 106.15/56.56 |-Branch one:
% 106.15/56.56 | (3222) all_0_38_38 = e1
% 106.15/56.56 |
% 106.15/56.56 | Equations (3222) can reduce 438 to:
% 106.15/56.56 | (400) $false
% 106.15/56.56 |
% 106.15/56.56 |-The branch is then unsatisfiable
% 106.15/56.56 |-Branch two:
% 106.15/56.56 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.56 | (1252) all_0_39_39 = e1
% 106.15/56.56 |
% 106.15/56.56 | Combining equations (697,1252) yields a new equation:
% 106.15/56.56 | (975) e4 = e1
% 106.15/56.56 |
% 106.15/56.56 | Simplifying 975 yields:
% 106.15/56.56 | (838) e4 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (838) can reduce 56 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.57 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (93), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (749) all_0_25_25 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (749) can reduce 185 to:
% 106.15/56.57 | (757) ~ (all_0_28_28 = e0)
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 757 yields:
% 106.15/56.57 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.57 |
% 106.15/56.57 | Equations (749) can reduce 1519 to:
% 106.15/56.57 | (498) ~ (e1 = e0)
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 498 yields:
% 106.15/56.57 | (40) ~ (e1 = e0)
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (148), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (761) all_0_35_35 = e1
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (732,761) yields a new equation:
% 106.15/56.57 | (620) e2 = e1
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 620 yields:
% 106.15/56.57 | (621) e2 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (621) can reduce 310 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.57 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (4931), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (4950) all_0_36_36 = e1
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (4950,534) yields a new equation:
% 106.15/56.57 | (530) e1 = e0
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 530 yields:
% 106.15/56.57 | (531) e1 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (531) can reduce 40 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (423) ~ (all_0_36_36 = e1)
% 106.15/56.57 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (4955), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1112) all_0_37_37 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (1112) can reduce 97 to:
% 106.15/56.57 | (437) ~ (all_0_38_38 = e1)
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 437 yields:
% 106.15/56.57 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (333), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1846) all_0_38_38 = e4
% 106.15/56.57 |
% 106.15/56.57 | Equations (1846) can reduce 1835 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (1835) ~ (all_0_38_38 = e4)
% 106.15/56.57 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (86), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (854) all_0_28_28 = e4
% 106.15/56.57 |
% 106.15/56.57 | Equations (854) can reduce 883 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (883) ~ (all_0_28_28 = e4)
% 106.15/56.57 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (3213), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (3208) all_0_38_38 = e3
% 106.15/56.57 |
% 106.15/56.57 | Equations (3208) can reduce 207 to:
% 106.15/56.57 | (893) ~ (all_0_28_28 = e3)
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (1021), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1106) all_0_28_28 = e3
% 106.15/56.57 |
% 106.15/56.57 | Equations (1106) can reduce 893 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (893) ~ (all_0_28_28 = e3)
% 106.15/56.57 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (1117), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1118) all_0_28_28 = e2
% 106.15/56.57 |
% 106.15/56.57 | Equations (1118) can reduce 477 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (477) ~ (all_0_28_28 = e2)
% 106.15/56.57 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (1121), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1122) all_0_28_28 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (1122) can reduce 434 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.57 | (1125) all_0_28_28 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (1125) can reduce 758 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (3095) ~ (all_0_38_38 = e3)
% 106.15/56.57 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (3217), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (3218) all_0_38_38 = e2
% 106.15/56.57 |
% 106.15/56.57 | Equations (3218) can reduce 2728 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.57 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (3221), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (3222) all_0_38_38 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (3222) can reduce 438 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.57 | (3225) all_0_38_38 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (3225) can reduce 540 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (763) ~ (all_0_37_37 = e1)
% 106.15/56.57 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (5023), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (3222) all_0_38_38 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (3222) can reduce 438 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.57 | (1252) all_0_39_39 = e1
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (697,1252) yields a new equation:
% 106.15/56.57 | (975) e4 = e1
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 975 yields:
% 106.15/56.57 | (838) e4 = e1
% 106.15/56.57 |
% 106.15/56.57 | Equations (838) can reduce 56 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (1054) ~ (all_0_25_25 = e0)
% 106.15/56.57 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (5498), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (523) all_0_26_26 = e0
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (471,523) yields a new equation:
% 106.15/56.57 | (524) e2 = e0
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 524 yields:
% 106.15/56.57 | (525) e2 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (525) can reduce 336 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (527) ~ (all_0_26_26 = e0)
% 106.15/56.57 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (5504), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (995) all_0_27_27 = e0
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (804,995) yields a new equation:
% 106.15/56.57 | (743) e4 = e0
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 743 yields:
% 106.15/56.57 | (515) e4 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (515) can reduce 267 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (660) ~ (all_0_27_27 = e0)
% 106.15/56.57 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.57 |
% 106.15/56.57 +-Applying beta-rule and splitting (5510), into two cases.
% 106.15/56.57 |-Branch one:
% 106.15/56.57 | (1125) all_0_28_28 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (1125) can reduce 758 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.57 |-Branch two:
% 106.15/56.57 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.57 | (5206) all_0_29_29 = e0
% 106.15/56.57 |
% 106.15/56.57 | Combining equations (4599,5206) yields a new equation:
% 106.15/56.57 | (530) e1 = e0
% 106.15/56.57 |
% 106.15/56.57 | Simplifying 530 yields:
% 106.15/56.57 | (531) e1 = e0
% 106.15/56.57 |
% 106.15/56.57 | Equations (531) can reduce 40 to:
% 106.15/56.57 | (400) $false
% 106.15/56.57 |
% 106.15/56.57 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (719) ~ (all_0_35_35 = e2)
% 106.15/56.58 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (735), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (761) all_0_35_35 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (761) can reduce 1138 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.58 | (1139) all_0_35_35 = e0
% 106.15/56.58 |
% 106.15/56.58 | Equations (1139) can reduce 536 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Applying alpha-rule on (1326) yields:
% 106.15/56.58 | (969) all_0_15_15 = e1
% 106.15/56.58 | (1322) all_0_33_33 = e4
% 106.15/56.58 | (417) ~ (all_0_30_30 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (969) can reduce 42 to:
% 106.15/56.58 | (5275) ~ (all_0_25_25 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 5275 yields:
% 106.15/56.58 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (969) can reduce 39 to:
% 106.15/56.58 | (3855) ~ (all_0_35_35 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 3855 yields:
% 106.15/56.58 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (969) can reduce 501 to:
% 106.15/56.58 | (764) ~ (e4 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 764 yields:
% 106.15/56.58 | (56) ~ (e4 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (969) can reduce 739 to:
% 106.15/56.58 | (40) ~ (e1 = e0)
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (340), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (756) all_0_18_18 = e0
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (756,1191) yields a new equation:
% 106.15/56.58 | (525) e2 = e0
% 106.15/56.58 |
% 106.15/56.58 | Equations (525) can reduce 336 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (1141) ~ (all_0_18_18 = e0)
% 106.15/56.58 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (43), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (1495) all_0_25_25 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (1495) can reduce 1519 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.58 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (128), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (724) all_0_35_35 = e4
% 106.15/56.58 |
% 106.15/56.58 | Equations (724) can reduce 509 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (509) ~ (all_0_35_35 = e4)
% 106.15/56.58 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (1142), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (4698) all_0_23_23 = e0
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (4698,427) yields a new equation:
% 106.15/56.58 | (531) e1 = e0
% 106.15/56.58 |
% 106.15/56.58 | Equations (531) can reduce 40 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (4702) ~ (all_0_23_23 = e0)
% 106.15/56.58 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (727), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (728) all_0_35_35 = e3
% 106.15/56.58 |
% 106.15/56.58 | Equations (728) can reduce 585 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (585) ~ (all_0_35_35 = e3)
% 106.15/56.58 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (731), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (732) all_0_35_35 = e2
% 106.15/56.58 |
% 106.15/56.58 | Equations (732) can reduce 210 to:
% 106.15/56.58 | (2727) ~ (all_0_38_38 = e2)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 2727 yields:
% 106.15/56.58 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.58 |
% 106.15/56.58 | Equations (732) can reduce 1138 to:
% 106.15/56.58 | (310) ~ (e2 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (732) can reduce 536 to:
% 106.15/56.58 | (336) ~ (e2 = e0)
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (4556), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (4559) all_0_26_26 = e1
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (471,4559) yields a new equation:
% 106.15/56.58 | (620) e2 = e1
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 620 yields:
% 106.15/56.58 | (621) e2 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (621) can reduce 310 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (416) ~ (all_0_26_26 = e1)
% 106.15/56.58 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (4563), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (816) all_0_27_27 = e1
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (804,816) yields a new equation:
% 106.15/56.58 | (975) e4 = e1
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 975 yields:
% 106.15/56.58 | (838) e4 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (838) can reduce 56 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (857) ~ (all_0_27_27 = e1)
% 106.15/56.58 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (4568), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (1122) all_0_28_28 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (1122) can reduce 434 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.58 | (4599) all_0_29_29 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 174 to:
% 106.15/56.58 | (943) ~ (all_0_19_19 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 7 to:
% 106.15/56.58 | (1519) ~ (all_0_25_25 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 47 to:
% 106.15/56.58 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 603 to:
% 106.15/56.58 | (764) ~ (e4 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 764 yields:
% 106.15/56.58 | (56) ~ (e4 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 479 to:
% 106.15/56.58 | (766) ~ (e2 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 766 yields:
% 106.15/56.58 | (310) ~ (e2 = e1)
% 106.15/56.58 |
% 106.15/56.58 | Equations (4599) can reduce 493 to:
% 106.15/56.58 | (40) ~ (e1 = e0)
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (288), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (607) ~ (all_0_39_39 = e4)
% 106.15/56.58 |
% 106.15/56.58 | Equations (697) can reduce 607 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (697) all_0_39_39 = e4
% 106.15/56.58 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (4703), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (1125) all_0_28_28 = e0
% 106.15/56.58 |
% 106.15/56.58 | Equations (1125) can reduce 207 to:
% 106.15/56.58 | (539) ~ (all_0_38_38 = e0)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 539 yields:
% 106.15/56.58 | (540) ~ (all_0_38_38 = e0)
% 106.15/56.58 |
% 106.15/56.58 | Equations (1125) can reduce 434 to:
% 106.15/56.58 | (498) ~ (e1 = e0)
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 498 yields:
% 106.15/56.58 | (40) ~ (e1 = e0)
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (148), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (761) all_0_35_35 = e1
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (732,761) yields a new equation:
% 106.15/56.58 | (620) e2 = e1
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 620 yields:
% 106.15/56.58 | (621) e2 = e1
% 106.15/56.58 |
% 106.15/56.58 | Equations (621) can reduce 310 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.58 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.58 |
% 106.15/56.58 +-Applying beta-rule and splitting (4931), into two cases.
% 106.15/56.58 |-Branch one:
% 106.15/56.58 | (4950) all_0_36_36 = e1
% 106.15/56.58 |
% 106.15/56.58 | Combining equations (4950,534) yields a new equation:
% 106.15/56.58 | (530) e1 = e0
% 106.15/56.58 |
% 106.15/56.58 | Simplifying 530 yields:
% 106.15/56.58 | (531) e1 = e0
% 106.15/56.58 |
% 106.15/56.58 | Equations (531) can reduce 40 to:
% 106.15/56.58 | (400) $false
% 106.15/56.58 |
% 106.15/56.58 |-The branch is then unsatisfiable
% 106.15/56.58 |-Branch two:
% 106.15/56.58 | (423) ~ (all_0_36_36 = e1)
% 106.15/56.59 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (4955), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1112) all_0_37_37 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (1112) can reduce 97 to:
% 106.15/56.59 | (437) ~ (all_0_38_38 = e1)
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 437 yields:
% 106.15/56.59 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (332), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1151) all_0_19_19 = e4
% 106.15/56.59 |
% 106.15/56.59 | Equations (1151) can reduce 460 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (460) ~ (all_0_19_19 = e4)
% 106.15/56.59 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (333), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1846) all_0_38_38 = e4
% 106.15/56.59 |
% 106.15/56.59 | Equations (1846) can reduce 1835 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (1835) ~ (all_0_38_38 = e4)
% 106.15/56.59 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (130), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1159) all_0_19_19 = e3
% 106.15/56.59 |
% 106.15/56.59 | Equations (1159) can reduce 131 to:
% 106.15/56.59 | (919) ~ (all_0_17_17 = e3)
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (3213), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (3208) all_0_38_38 = e3
% 106.15/56.59 |
% 106.15/56.59 | Equations (3208) can reduce 1835 to:
% 106.15/56.59 | (558) ~ (e4 = e3)
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 558 yields:
% 106.15/56.59 | (255) ~ (e4 = e3)
% 106.15/56.59 |
% 106.15/56.59 | Equations (3208) can reduce 2728 to:
% 106.15/56.59 | (52) ~ (e3 = e2)
% 106.15/56.59 |
% 106.15/56.59 | Equations (3208) can reduce 438 to:
% 106.15/56.59 | (298) ~ (e3 = e1)
% 106.15/56.59 |
% 106.15/56.59 | Equations (3208) can reduce 540 to:
% 106.15/56.59 | (80) ~ (e3 = e0)
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (142), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (855) all_0_17_17 = e3
% 106.15/56.59 |
% 106.15/56.59 | Equations (855) can reduce 919 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (919) ~ (all_0_17_17 = e3)
% 106.15/56.59 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (920), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (921) all_0_22_22 = e3
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (921,442) yields a new equation:
% 106.15/56.59 | (614) e3 = e2
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 614 yields:
% 106.15/56.59 | (615) e3 = e2
% 106.15/56.59 |
% 106.15/56.59 | Equations (615) can reduce 52 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (925) ~ (all_0_22_22 = e3)
% 106.15/56.59 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (926), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (808) all_0_27_27 = e3
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (804,808) yields a new equation:
% 106.15/56.59 | (596) e4 = e3
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 596 yields:
% 106.15/56.59 | (597) e4 = e3
% 106.15/56.59 |
% 106.15/56.59 | Equations (597) can reduce 255 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (573) ~ (all_0_27_27 = e3)
% 106.15/56.59 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (931), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (629) all_0_32_32 = e3
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (658,629) yields a new equation:
% 106.15/56.59 | (648) e3 = e0
% 106.15/56.59 |
% 106.15/56.59 | Equations (648) can reduce 80 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (579) ~ (all_0_32_32 = e3)
% 106.15/56.59 | (936) all_0_37_37 = e3
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (936,1112) yields a new equation:
% 106.15/56.59 | (1113) e3 = e1
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 1113 yields:
% 106.15/56.59 | (928) e3 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (928) can reduce 298 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (3095) ~ (all_0_38_38 = e3)
% 106.15/56.59 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (3217), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (3218) all_0_38_38 = e2
% 106.15/56.59 |
% 106.15/56.59 | Equations (3218) can reduce 2728 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.59 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (3221), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (3222) all_0_38_38 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (3222) can reduce 438 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.59 | (3225) all_0_38_38 = e0
% 106.15/56.59 |
% 106.15/56.59 | Equations (3225) can reduce 540 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (1150) ~ (all_0_19_19 = e3)
% 106.15/56.59 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (1154), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1159) all_0_19_19 = e3
% 106.15/56.59 |
% 106.15/56.59 | Equations (1159) can reduce 1150 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (1150) ~ (all_0_19_19 = e3)
% 106.15/56.59 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (1162), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (1163) all_0_19_19 = e2
% 106.15/56.59 |
% 106.15/56.59 | Equations (1163) can reduce 706 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (706) ~ (all_0_19_19 = e2)
% 106.15/56.59 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (1166), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (829) all_0_19_19 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (829) can reduce 943 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (943) ~ (all_0_19_19 = e1)
% 106.15/56.59 | (1187) all_0_19_19 = e0
% 106.15/56.59 |
% 106.15/56.59 | Equations (1187) can reduce 489 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (763) ~ (all_0_37_37 = e1)
% 106.15/56.59 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (5023), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (3222) all_0_38_38 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (3222) can reduce 438 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.59 | (1252) all_0_39_39 = e1
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (697,1252) yields a new equation:
% 106.15/56.59 | (975) e4 = e1
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 975 yields:
% 106.15/56.59 | (838) e4 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (838) can reduce 56 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.59 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (93), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (749) all_0_25_25 = e0
% 106.15/56.59 |
% 106.15/56.59 | Equations (749) can reduce 185 to:
% 106.15/56.59 | (757) ~ (all_0_28_28 = e0)
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 757 yields:
% 106.15/56.59 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.59 |
% 106.15/56.59 | Equations (749) can reduce 1519 to:
% 106.15/56.59 | (498) ~ (e1 = e0)
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 498 yields:
% 106.15/56.59 | (40) ~ (e1 = e0)
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (148), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (761) all_0_35_35 = e1
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (732,761) yields a new equation:
% 106.15/56.59 | (620) e2 = e1
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 620 yields:
% 106.15/56.59 | (621) e2 = e1
% 106.15/56.59 |
% 106.15/56.59 | Equations (621) can reduce 310 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.59 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.59 |
% 106.15/56.59 +-Applying beta-rule and splitting (4931), into two cases.
% 106.15/56.59 |-Branch one:
% 106.15/56.59 | (4950) all_0_36_36 = e1
% 106.15/56.59 |
% 106.15/56.59 | Combining equations (4950,534) yields a new equation:
% 106.15/56.59 | (530) e1 = e0
% 106.15/56.59 |
% 106.15/56.59 | Simplifying 530 yields:
% 106.15/56.59 | (531) e1 = e0
% 106.15/56.59 |
% 106.15/56.59 | Equations (531) can reduce 40 to:
% 106.15/56.59 | (400) $false
% 106.15/56.59 |
% 106.15/56.59 |-The branch is then unsatisfiable
% 106.15/56.59 |-Branch two:
% 106.15/56.59 | (423) ~ (all_0_36_36 = e1)
% 106.15/56.60 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (4955), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1112) all_0_37_37 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (1112) can reduce 97 to:
% 106.15/56.60 | (437) ~ (all_0_38_38 = e1)
% 106.15/56.60 |
% 106.15/56.60 | Simplifying 437 yields:
% 106.15/56.60 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (333), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1846) all_0_38_38 = e4
% 106.15/56.60 |
% 106.15/56.60 | Equations (1846) can reduce 1835 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (1835) ~ (all_0_38_38 = e4)
% 106.15/56.60 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (86), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (854) all_0_28_28 = e4
% 106.15/56.60 |
% 106.15/56.60 | Equations (854) can reduce 883 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (883) ~ (all_0_28_28 = e4)
% 106.15/56.60 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (3213), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (3208) all_0_38_38 = e3
% 106.15/56.60 |
% 106.15/56.60 | Equations (3208) can reduce 207 to:
% 106.15/56.60 | (893) ~ (all_0_28_28 = e3)
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (1021), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1106) all_0_28_28 = e3
% 106.15/56.60 |
% 106.15/56.60 | Equations (1106) can reduce 893 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (893) ~ (all_0_28_28 = e3)
% 106.15/56.60 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (1117), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1118) all_0_28_28 = e2
% 106.15/56.60 |
% 106.15/56.60 | Equations (1118) can reduce 477 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (477) ~ (all_0_28_28 = e2)
% 106.15/56.60 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (1121), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1122) all_0_28_28 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (1122) can reduce 434 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (434) ~ (all_0_28_28 = e1)
% 106.15/56.60 | (1125) all_0_28_28 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (1125) can reduce 758 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (3095) ~ (all_0_38_38 = e3)
% 106.15/56.60 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (3217), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (3218) all_0_38_38 = e2
% 106.15/56.60 |
% 106.15/56.60 | Equations (3218) can reduce 2728 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (2728) ~ (all_0_38_38 = e2)
% 106.15/56.60 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (3221), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (3222) all_0_38_38 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (3222) can reduce 438 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.60 | (3225) all_0_38_38 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (3225) can reduce 540 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (763) ~ (all_0_37_37 = e1)
% 106.15/56.60 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (5023), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (3222) all_0_38_38 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (3222) can reduce 438 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (438) ~ (all_0_38_38 = e1)
% 106.15/56.60 | (1252) all_0_39_39 = e1
% 106.15/56.60 |
% 106.15/56.60 | Combining equations (697,1252) yields a new equation:
% 106.15/56.60 | (975) e4 = e1
% 106.15/56.60 |
% 106.15/56.60 | Simplifying 975 yields:
% 106.15/56.60 | (838) e4 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (838) can reduce 56 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (1054) ~ (all_0_25_25 = e0)
% 106.15/56.60 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (5498), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (523) all_0_26_26 = e0
% 106.15/56.60 |
% 106.15/56.60 | Combining equations (471,523) yields a new equation:
% 106.15/56.60 | (524) e2 = e0
% 106.15/56.60 |
% 106.15/56.60 | Simplifying 524 yields:
% 106.15/56.60 | (525) e2 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (525) can reduce 336 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (527) ~ (all_0_26_26 = e0)
% 106.15/56.60 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (5504), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (995) all_0_27_27 = e0
% 106.15/56.60 |
% 106.15/56.60 | Combining equations (804,995) yields a new equation:
% 106.15/56.60 | (743) e4 = e0
% 106.15/56.60 |
% 106.15/56.60 | Simplifying 743 yields:
% 106.15/56.60 | (515) e4 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (515) can reduce 267 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (660) ~ (all_0_27_27 = e0)
% 106.15/56.60 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (5510), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (1125) all_0_28_28 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (1125) can reduce 758 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (758) ~ (all_0_28_28 = e0)
% 106.15/56.60 | (5206) all_0_29_29 = e0
% 106.15/56.60 |
% 106.15/56.60 | Combining equations (4599,5206) yields a new equation:
% 106.15/56.60 | (530) e1 = e0
% 106.15/56.60 |
% 106.15/56.60 | Simplifying 530 yields:
% 106.15/56.60 | (531) e1 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (531) can reduce 40 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (719) ~ (all_0_35_35 = e2)
% 106.15/56.60 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 106.15/56.60 |
% 106.15/56.60 +-Applying beta-rule and splitting (735), into two cases.
% 106.15/56.60 |-Branch one:
% 106.15/56.60 | (761) all_0_35_35 = e1
% 106.15/56.60 |
% 106.15/56.60 | Equations (761) can reduce 1138 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.60 | (1138) ~ (all_0_35_35 = e1)
% 106.15/56.60 | (1139) all_0_35_35 = e0
% 106.15/56.60 |
% 106.15/56.60 | Equations (1139) can reduce 536 to:
% 106.15/56.60 | (400) $false
% 106.15/56.60 |
% 106.15/56.60 |-The branch is then unsatisfiable
% 106.15/56.60 |-Branch two:
% 106.15/56.61 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1332) yields:
% 106.15/56.61 | (736) all_0_15_15 = e0
% 106.15/56.61 | (697) all_0_39_39 = e4
% 106.15/56.61 | (460) ~ (all_0_19_19 = e4)
% 106.15/56.61 |
% 106.15/56.61 | Equations (736) can reduce 739 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1339) yields:
% 106.15/56.61 | (736) all_0_15_15 = e0
% 106.15/56.61 | (697) all_0_39_39 = e4
% 106.15/56.61 | (536) ~ (all_0_35_35 = e0)
% 106.15/56.61 |
% 106.15/56.61 | Equations (736) can reduce 739 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1346) yields:
% 106.15/56.61 | (1347) all_0_21_21 = e2
% 106.15/56.61 | (808) all_0_27_27 = e3
% 106.15/56.61 | (925) ~ (all_0_22_22 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,1347) yields a new equation:
% 106.15/56.61 | (614) e3 = e2
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 614 yields:
% 106.15/56.61 | (615) e3 = e2
% 106.15/56.61 |
% 106.15/56.61 | Equations (615) can reduce 52 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1352) yields:
% 106.15/56.61 | (1347) all_0_21_21 = e2
% 106.15/56.61 | (808) all_0_27_27 = e3
% 106.15/56.61 | (1355) ~ (all_0_26_26 = e2)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,1347) yields a new equation:
% 106.15/56.61 | (614) e3 = e2
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 614 yields:
% 106.15/56.61 | (615) e3 = e2
% 106.15/56.61 |
% 106.15/56.61 | Equations (615) can reduce 52 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1358) yields:
% 106.15/56.61 | (1359) all_0_21_21 = e1
% 106.15/56.61 | (1360) all_0_33_33 = e3
% 106.15/56.61 | (1361) ~ (all_0_23_23 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,1359) yields a new equation:
% 106.15/56.61 | (1113) e3 = e1
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 1113 yields:
% 106.15/56.61 | (928) e3 = e1
% 106.15/56.61 |
% 106.15/56.61 | Equations (928) can reduce 298 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1367) yields:
% 106.15/56.61 | (1359) all_0_21_21 = e1
% 106.15/56.61 | (1360) all_0_33_33 = e3
% 106.15/56.61 | (1370) ~ (all_0_31_31 = e1)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,1359) yields a new equation:
% 106.15/56.61 | (1113) e3 = e1
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 1113 yields:
% 106.15/56.61 | (928) e3 = e1
% 106.15/56.61 |
% 106.15/56.61 | Equations (928) can reduce 298 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1376) yields:
% 106.15/56.61 | (519) all_0_21_21 = e0
% 106.15/56.61 | (701) all_0_39_39 = e3
% 106.15/56.61 | (1379) ~ (all_0_24_24 = e3)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,519) yields a new equation:
% 106.15/56.61 | (647) e3 = e0
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 647 yields:
% 106.15/56.61 | (648) e3 = e0
% 106.15/56.61 |
% 106.15/56.61 | Equations (648) can reduce 80 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1385) yields:
% 106.15/56.61 | (519) all_0_21_21 = e0
% 106.15/56.61 | (701) all_0_39_39 = e3
% 106.15/56.61 | (1388) ~ (all_0_36_36 = e0)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (557,519) yields a new equation:
% 106.15/56.61 | (647) e3 = e0
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 647 yields:
% 106.15/56.61 | (648) e3 = e0
% 106.15/56.61 |
% 106.15/56.61 | Equations (648) can reduce 80 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1394) yields:
% 106.15/56.61 | (816) all_0_27_27 = e1
% 106.15/56.61 | (637) all_0_33_33 = e2
% 106.15/56.61 | (477) ~ (all_0_28_28 = e2)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (816,804) yields a new equation:
% 106.15/56.61 | (838) e4 = e1
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (1322,637) yields a new equation:
% 106.15/56.61 | (1531) e4 = e2
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 1531 yields:
% 106.15/56.61 | (798) e4 = e2
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (798,838) yields a new equation:
% 106.15/56.61 | (620) e2 = e1
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 620 yields:
% 106.15/56.61 | (621) e2 = e1
% 106.15/56.61 |
% 106.15/56.61 | Equations (621) can reduce 310 to:
% 106.15/56.61 | (400) $false
% 106.15/56.61 |
% 106.15/56.61 |-The branch is then unsatisfiable
% 106.15/56.61 |-Branch two:
% 106.15/56.61 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 106.15/56.61 |
% 106.15/56.61 | Applying alpha-rule on (1421) yields:
% 106.15/56.61 | (816) all_0_27_27 = e1
% 106.15/56.61 | (637) all_0_33_33 = e2
% 106.15/56.61 | (419) ~ (all_0_32_32 = e1)
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (816,804) yields a new equation:
% 106.15/56.61 | (838) e4 = e1
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (1322,637) yields a new equation:
% 106.15/56.61 | (1531) e4 = e2
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 1531 yields:
% 106.15/56.61 | (798) e4 = e2
% 106.15/56.61 |
% 106.15/56.61 | Combining equations (798,838) yields a new equation:
% 106.15/56.61 | (620) e2 = e1
% 106.15/56.61 |
% 106.15/56.61 | Simplifying 620 yields:
% 106.15/56.61 | (621) e2 = e1
% 106.15/56.61 |
% 106.15/56.61 | Equations (621) can reduce 310 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 106.37/56.61 |
% 106.37/56.61 | Applying alpha-rule on (1448) yields:
% 106.37/56.61 | (995) all_0_27_27 = e0
% 106.37/56.61 | (705) all_0_39_39 = e2
% 106.37/56.61 | (479) ~ (all_0_29_29 = e2)
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (995,804) yields a new equation:
% 106.37/56.61 | (515) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (697,705) yields a new equation:
% 106.37/56.61 | (1531) e4 = e2
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 1531 yields:
% 106.37/56.61 | (798) e4 = e2
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (798,515) yields a new equation:
% 106.37/56.61 | (524) e2 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 524 yields:
% 106.37/56.61 | (525) e2 = e0
% 106.37/56.61 |
% 106.37/56.61 | Equations (525) can reduce 336 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 106.37/56.61 |
% 106.37/56.61 | Applying alpha-rule on (1455) yields:
% 106.37/56.61 | (995) all_0_27_27 = e0
% 106.37/56.61 | (705) all_0_39_39 = e2
% 106.37/56.61 | (538) ~ (all_0_37_37 = e0)
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (995,804) yields a new equation:
% 106.37/56.61 | (515) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (697,705) yields a new equation:
% 106.37/56.61 | (1531) e4 = e2
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 1531 yields:
% 106.37/56.61 | (798) e4 = e2
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (798,515) yields a new equation:
% 106.37/56.61 | (524) e2 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 524 yields:
% 106.37/56.61 | (525) e2 = e0
% 106.37/56.61 |
% 106.37/56.61 | Equations (525) can reduce 336 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 106.37/56.61 |
% 106.37/56.61 | Applying alpha-rule on (1462) yields:
% 106.37/56.61 | (1463) all_0_33_33 = e0
% 106.37/56.61 | (1252) all_0_39_39 = e1
% 106.37/56.61 | (421) ~ (all_0_34_34 = e1)
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (1322,1463) yields a new equation:
% 106.37/56.61 | (743) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 743 yields:
% 106.37/56.61 | (515) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (1252,697) yields a new equation:
% 106.37/56.61 | (838) e4 = e1
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (838,515) yields a new equation:
% 106.37/56.61 | (530) e1 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 530 yields:
% 106.37/56.61 | (531) e1 = e0
% 106.37/56.61 |
% 106.37/56.61 | Equations (531) can reduce 40 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 106.37/56.61 |
% 106.37/56.61 | Applying alpha-rule on (1469) yields:
% 106.37/56.61 | (1463) all_0_33_33 = e0
% 106.37/56.61 | (1252) all_0_39_39 = e1
% 106.37/56.61 | (540) ~ (all_0_38_38 = e0)
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (1322,1463) yields a new equation:
% 106.37/56.61 | (743) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 743 yields:
% 106.37/56.61 | (515) e4 = e0
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (1252,697) yields a new equation:
% 106.37/56.61 | (838) e4 = e1
% 106.37/56.61 |
% 106.37/56.61 | Combining equations (838,515) yields a new equation:
% 106.37/56.61 | (530) e1 = e0
% 106.37/56.61 |
% 106.37/56.61 | Simplifying 530 yields:
% 106.37/56.61 | (531) e1 = e0
% 106.37/56.61 |
% 106.37/56.61 | Equations (531) can reduce 40 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (638) ~ (all_0_18_18 = e2)
% 106.37/56.61 | (1163) all_0_19_19 = e2
% 106.37/56.61 |
% 106.37/56.61 | Equations (1163) can reduce 706 to:
% 106.37/56.61 | (400) $false
% 106.37/56.61 |
% 106.37/56.61 |-The branch is then unsatisfiable
% 106.37/56.61 |-Branch two:
% 106.37/56.61 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.61 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (55), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (590) all_0_25_25 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (590) can reduce 505 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (505) ~ (all_0_25_25 = e4)
% 106.37/56.62 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (51), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (793) all_0_17_17 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (793) can reduce 456 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (456) ~ (all_0_17_17 = e4)
% 106.37/56.62 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (796), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (797) all_0_22_22 = e4
% 106.37/56.62 |
% 106.37/56.62 | Combining equations (797,442) yields a new equation:
% 106.37/56.62 | (1531) e4 = e2
% 106.37/56.62 |
% 106.37/56.62 | Simplifying 1531 yields:
% 106.37/56.62 | (798) e4 = e2
% 106.37/56.62 |
% 106.37/56.62 | Equations (798) can reduce 21 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (800) ~ (all_0_22_22 = e4)
% 106.37/56.62 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (442) can reduce 800 to:
% 106.37/56.62 | (482) ~ (e4 = e2)
% 106.37/56.62 |
% 106.37/56.62 | Simplifying 482 yields:
% 106.37/56.62 | (21) ~ (e4 = e2)
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (790), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (832) all_0_26_26 = e4
% 106.37/56.62 |
% 106.37/56.62 | Combining equations (471,832) yields a new equation:
% 106.37/56.62 | (798) e4 = e2
% 106.37/56.62 |
% 106.37/56.62 | Equations (798) can reduce 21 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (464) ~ (all_0_26_26 = e4)
% 106.37/56.62 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (801), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (804) all_0_27_27 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (804) can reduce 785 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.62 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (836), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (804) all_0_27_27 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (804) can reduce 785 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.62 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (853), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (854) all_0_28_28 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (854) can reduce 883 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (883) ~ (all_0_28_28 = e4)
% 106.37/56.62 | (941) all_0_29_29 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (941) can reduce 53 to:
% 106.37/56.62 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.62 |
% 106.37/56.62 | Equations (941) can reduce 291 to:
% 106.37/56.62 | (606) ~ (all_0_39_39 = e4)
% 106.37/56.62 |
% 106.37/56.62 | Simplifying 606 yields:
% 106.37/56.62 | (607) ~ (all_0_39_39 = e4)
% 106.37/56.62 |
% 106.37/56.62 | Equations (941) can reduce 479 to:
% 106.37/56.62 | (21) ~ (e4 = e2)
% 106.37/56.62 |
% 106.37/56.62 | Equations (941) can reduce 493 to:
% 106.37/56.62 | (267) ~ (e4 = e0)
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (248), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (724) all_0_35_35 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (724) can reduce 509 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (509) ~ (all_0_35_35 = e4)
% 106.37/56.62 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1091), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (2975) all_0_36_36 = e4
% 106.37/56.62 |
% 106.37/56.62 | Combining equations (534,2975) yields a new equation:
% 106.37/56.62 | (515) e4 = e0
% 106.37/56.62 |
% 106.37/56.62 | Equations (515) can reduce 267 to:
% 106.37/56.62 | (400) $false
% 106.37/56.62 |
% 106.37/56.62 |-The branch is then unsatisfiable
% 106.37/56.62 |-Branch two:
% 106.37/56.62 | (466) ~ (all_0_36_36 = e4)
% 106.37/56.62 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 106.37/56.62 |
% 106.37/56.62 | Equations (534) can reduce 466 to:
% 106.37/56.62 | (543) ~ (e4 = e0)
% 106.37/56.62 |
% 106.37/56.62 | Simplifying 543 yields:
% 106.37/56.62 | (267) ~ (e4 = e0)
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (251), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1278), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1279), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1280), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1281), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1282), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1283), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1284), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1285), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1286), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1287), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 106.37/56.62 |
% 106.37/56.62 +-Applying beta-rule and splitting (1288), into two cases.
% 106.37/56.62 |-Branch one:
% 106.37/56.62 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1289), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1290), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1291), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1292), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1293), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1294), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1295), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1296) yields:
% 106.37/56.63 | (1297) all_0_15_15 = e3
% 106.37/56.63 | (550) all_0_21_21 = e4
% 106.37/56.63 | (1299) ~ (all_0_16_16 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (557,550) yields a new equation:
% 106.37/56.63 | (597) e4 = e3
% 106.37/56.63 |
% 106.37/56.63 | Equations (597) can reduce 255 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1303) yields:
% 106.37/56.63 | (1297) all_0_15_15 = e3
% 106.37/56.63 | (550) all_0_21_21 = e4
% 106.37/56.63 | (1306) ~ (all_0_20_20 = e3)
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (557,550) yields a new equation:
% 106.37/56.63 | (597) e4 = e3
% 106.37/56.63 |
% 106.37/56.63 | Equations (597) can reduce 255 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1310) yields:
% 106.37/56.63 | (711) all_0_15_15 = e2
% 106.37/56.63 | (804) all_0_27_27 = e4
% 106.37/56.63 | (456) ~ (all_0_17_17 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Equations (804) can reduce 785 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1315) yields:
% 106.37/56.63 | (711) all_0_15_15 = e2
% 106.37/56.63 | (804) all_0_27_27 = e4
% 106.37/56.63 | (473) ~ (all_0_25_25 = e2)
% 106.37/56.63 |
% 106.37/56.63 | Equations (804) can reduce 785 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1320) yields:
% 106.37/56.63 | (969) all_0_15_15 = e1
% 106.37/56.63 | (1322) all_0_33_33 = e4
% 106.37/56.63 | (458) ~ (all_0_18_18 = e4)
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 344 to:
% 106.37/56.63 | (5989) ~ (all_0_17_17 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 5989 yields:
% 106.37/56.63 | (817) ~ (all_0_17_17 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 501 to:
% 106.37/56.63 | (764) ~ (e4 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 764 yields:
% 106.37/56.63 | (56) ~ (e4 = e1)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (160), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (711) all_0_15_15 = e2
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (711,969) yields a new equation:
% 106.37/56.63 | (620) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 620 yields:
% 106.37/56.63 | (621) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (621) can reduce 310 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (769) ~ (all_0_15_15 = e2)
% 106.37/56.63 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 769 to:
% 106.37/56.63 | (766) ~ (e2 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 766 yields:
% 106.37/56.63 | (310) ~ (e2 = e1)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (92), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (736) all_0_15_15 = e0
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (736,969) yields a new equation:
% 106.37/56.63 | (531) e1 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (531) can reduce 40 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.63 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 739 to:
% 106.37/56.63 | (40) ~ (e1 = e0)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (841), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (609) all_0_32_32 = e4
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (658,609) yields a new equation:
% 106.37/56.63 | (515) e4 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (515) can reduce 267 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (604) ~ (all_0_32_32 = e4)
% 106.37/56.63 | (847) all_0_37_37 = e4
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (249), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (980) all_0_17_17 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (980) can reduce 817 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (817) ~ (all_0_17_17 = e1)
% 106.37/56.63 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (123), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (736) all_0_15_15 = e0
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (736,969) yields a new equation:
% 106.37/56.63 | (531) e1 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (531) can reduce 40 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.63 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 739 to:
% 106.37/56.63 | (40) ~ (e1 = e0)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1085), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1094) all_0_22_22 = e1
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (442,1094) yields a new equation:
% 106.37/56.63 | (620) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 620 yields:
% 106.37/56.63 | (621) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (621) can reduce 310 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1098) ~ (all_0_22_22 = e1)
% 106.37/56.63 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1099), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (816) all_0_27_27 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (816) can reduce 857 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (857) ~ (all_0_27_27 = e1)
% 106.37/56.63 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (1105), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (1108) all_0_32_32 = e1
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (658,1108) yields a new equation:
% 106.37/56.63 | (531) e1 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (531) can reduce 40 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (419) ~ (all_0_32_32 = e1)
% 106.37/56.63 | (1112) all_0_37_37 = e1
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (1112,847) yields a new equation:
% 106.37/56.63 | (838) e4 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (838) can reduce 56 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Applying alpha-rule on (1326) yields:
% 106.37/56.63 | (969) all_0_15_15 = e1
% 106.37/56.63 | (1322) all_0_33_33 = e4
% 106.37/56.63 | (417) ~ (all_0_30_30 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 344 to:
% 106.37/56.63 | (5989) ~ (all_0_17_17 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 5989 yields:
% 106.37/56.63 | (817) ~ (all_0_17_17 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 501 to:
% 106.37/56.63 | (764) ~ (e4 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 764 yields:
% 106.37/56.63 | (56) ~ (e4 = e1)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (160), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (711) all_0_15_15 = e2
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (711,969) yields a new equation:
% 106.37/56.63 | (620) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 620 yields:
% 106.37/56.63 | (621) e2 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (621) can reduce 310 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (769) ~ (all_0_15_15 = e2)
% 106.37/56.63 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 769 to:
% 106.37/56.63 | (766) ~ (e2 = e1)
% 106.37/56.63 |
% 106.37/56.63 | Simplifying 766 yields:
% 106.37/56.63 | (310) ~ (e2 = e1)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (92), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (736) all_0_15_15 = e0
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (736,969) yields a new equation:
% 106.37/56.63 | (531) e1 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (531) can reduce 40 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.63 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (969) can reduce 739 to:
% 106.37/56.63 | (40) ~ (e1 = e0)
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (841), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (609) all_0_32_32 = e4
% 106.37/56.63 |
% 106.37/56.63 | Combining equations (658,609) yields a new equation:
% 106.37/56.63 | (515) e4 = e0
% 106.37/56.63 |
% 106.37/56.63 | Equations (515) can reduce 267 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (604) ~ (all_0_32_32 = e4)
% 106.37/56.63 | (847) all_0_37_37 = e4
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (249), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (980) all_0_17_17 = e1
% 106.37/56.63 |
% 106.37/56.63 | Equations (980) can reduce 817 to:
% 106.37/56.63 | (400) $false
% 106.37/56.63 |
% 106.37/56.63 |-The branch is then unsatisfiable
% 106.37/56.63 |-Branch two:
% 106.37/56.63 | (817) ~ (all_0_17_17 = e1)
% 106.37/56.63 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.63 |
% 106.37/56.63 +-Applying beta-rule and splitting (123), into two cases.
% 106.37/56.63 |-Branch one:
% 106.37/56.63 | (736) all_0_15_15 = e0
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (736,969) yields a new equation:
% 106.37/56.64 | (531) e1 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (531) can reduce 40 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.64 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (969) can reduce 739 to:
% 106.37/56.64 | (40) ~ (e1 = e0)
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (1085), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (1094) all_0_22_22 = e1
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (442,1094) yields a new equation:
% 106.37/56.64 | (620) e2 = e1
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 620 yields:
% 106.37/56.64 | (621) e2 = e1
% 106.37/56.64 |
% 106.37/56.64 | Equations (621) can reduce 310 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1098) ~ (all_0_22_22 = e1)
% 106.37/56.64 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (1099), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (816) all_0_27_27 = e1
% 106.37/56.64 |
% 106.37/56.64 | Equations (816) can reduce 857 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (857) ~ (all_0_27_27 = e1)
% 106.37/56.64 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (1105), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (1108) all_0_32_32 = e1
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (658,1108) yields a new equation:
% 106.37/56.64 | (531) e1 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (531) can reduce 40 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (419) ~ (all_0_32_32 = e1)
% 106.37/56.64 | (1112) all_0_37_37 = e1
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1112,847) yields a new equation:
% 106.37/56.64 | (838) e4 = e1
% 106.37/56.64 |
% 106.37/56.64 | Equations (838) can reduce 56 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1332) yields:
% 106.37/56.64 | (736) all_0_15_15 = e0
% 106.37/56.64 | (697) all_0_39_39 = e4
% 106.37/56.64 | (460) ~ (all_0_19_19 = e4)
% 106.37/56.64 |
% 106.37/56.64 | Equations (697) can reduce 607 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1339) yields:
% 106.37/56.64 | (736) all_0_15_15 = e0
% 106.37/56.64 | (697) all_0_39_39 = e4
% 106.37/56.64 | (536) ~ (all_0_35_35 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Equations (697) can reduce 607 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1346) yields:
% 106.37/56.64 | (1347) all_0_21_21 = e2
% 106.37/56.64 | (808) all_0_27_27 = e3
% 106.37/56.64 | (925) ~ (all_0_22_22 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1347,557) yields a new equation:
% 106.37/56.64 | (615) e3 = e2
% 106.37/56.64 |
% 106.37/56.64 | Equations (615) can reduce 52 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1352) yields:
% 106.37/56.64 | (1347) all_0_21_21 = e2
% 106.37/56.64 | (808) all_0_27_27 = e3
% 106.37/56.64 | (1355) ~ (all_0_26_26 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1347,557) yields a new equation:
% 106.37/56.64 | (615) e3 = e2
% 106.37/56.64 |
% 106.37/56.64 | Equations (615) can reduce 52 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1358) yields:
% 106.37/56.64 | (1359) all_0_21_21 = e1
% 106.37/56.64 | (1360) all_0_33_33 = e3
% 106.37/56.64 | (1361) ~ (all_0_23_23 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1359,557) yields a new equation:
% 106.37/56.64 | (928) e3 = e1
% 106.37/56.64 |
% 106.37/56.64 | Equations (928) can reduce 298 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1367) yields:
% 106.37/56.64 | (1359) all_0_21_21 = e1
% 106.37/56.64 | (1360) all_0_33_33 = e3
% 106.37/56.64 | (1370) ~ (all_0_31_31 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1359,557) yields a new equation:
% 106.37/56.64 | (928) e3 = e1
% 106.37/56.64 |
% 106.37/56.64 | Equations (928) can reduce 298 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1376) yields:
% 106.37/56.64 | (519) all_0_21_21 = e0
% 106.37/56.64 | (701) all_0_39_39 = e3
% 106.37/56.64 | (1379) ~ (all_0_24_24 = e3)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (519,557) yields a new equation:
% 106.37/56.64 | (648) e3 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (648) can reduce 80 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1385) yields:
% 106.37/56.64 | (519) all_0_21_21 = e0
% 106.37/56.64 | (701) all_0_39_39 = e3
% 106.37/56.64 | (1388) ~ (all_0_36_36 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (519,557) yields a new equation:
% 106.37/56.64 | (648) e3 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (648) can reduce 80 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1394) yields:
% 106.37/56.64 | (816) all_0_27_27 = e1
% 106.37/56.64 | (637) all_0_33_33 = e2
% 106.37/56.64 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (637,1322) yields a new equation:
% 106.37/56.64 | (798) e4 = e2
% 106.37/56.64 |
% 106.37/56.64 | Equations (798) can reduce 21 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1421) yields:
% 106.37/56.64 | (816) all_0_27_27 = e1
% 106.37/56.64 | (637) all_0_33_33 = e2
% 106.37/56.64 | (419) ~ (all_0_32_32 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (637,1322) yields a new equation:
% 106.37/56.64 | (798) e4 = e2
% 106.37/56.64 |
% 106.37/56.64 | Equations (798) can reduce 21 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1448) yields:
% 106.37/56.64 | (995) all_0_27_27 = e0
% 106.37/56.64 | (705) all_0_39_39 = e2
% 106.37/56.64 | (479) ~ (all_0_29_29 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Equations (705) can reduce 1250 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1455) yields:
% 106.37/56.64 | (995) all_0_27_27 = e0
% 106.37/56.64 | (705) all_0_39_39 = e2
% 106.37/56.64 | (538) ~ (all_0_37_37 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Equations (705) can reduce 1250 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1462) yields:
% 106.37/56.64 | (1463) all_0_33_33 = e0
% 106.37/56.64 | (1252) all_0_39_39 = e1
% 106.37/56.64 | (421) ~ (all_0_34_34 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1322,1463) yields a new equation:
% 106.37/56.64 | (743) e4 = e0
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 743 yields:
% 106.37/56.64 | (515) e4 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (515) can reduce 267 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Applying alpha-rule on (1469) yields:
% 106.37/56.64 | (1463) all_0_33_33 = e0
% 106.37/56.64 | (1252) all_0_39_39 = e1
% 106.37/56.64 | (540) ~ (all_0_38_38 = e0)
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (1322,1463) yields a new equation:
% 106.37/56.64 | (743) e4 = e0
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 743 yields:
% 106.37/56.64 | (515) e4 = e0
% 106.37/56.64 |
% 106.37/56.64 | Equations (515) can reduce 267 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (816) all_0_27_27 = e1
% 106.37/56.64 | (860) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 106.37/56.64 |
% 106.37/56.64 | Equations (816) can reduce 122 to:
% 106.37/56.64 | (1519) ~ (all_0_25_25 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Equations (816) can reduce 337 to:
% 106.37/56.64 | (433) ~ (all_0_28_28 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 433 yields:
% 106.37/56.64 | (434) ~ (all_0_28_28 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Equations (816) can reduce 167 to:
% 106.37/56.64 | (762) ~ (all_0_37_37 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 762 yields:
% 106.37/56.64 | (763) ~ (all_0_37_37 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Equations (816) can reduce 475 to:
% 106.37/56.64 | (766) ~ (e2 = e1)
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 766 yields:
% 106.37/56.64 | (310) ~ (e2 = e1)
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (55), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (590) all_0_25_25 = e4
% 106.37/56.64 |
% 106.37/56.64 | Equations (590) can reduce 505 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (505) ~ (all_0_25_25 = e4)
% 106.37/56.64 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (790), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (832) all_0_26_26 = e4
% 106.37/56.64 |
% 106.37/56.64 | Combining equations (471,832) yields a new equation:
% 106.37/56.64 | (798) e4 = e2
% 106.37/56.64 |
% 106.37/56.64 | Equations (798) can reduce 21 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (464) ~ (all_0_26_26 = e4)
% 106.37/56.64 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 106.37/56.64 |
% 106.37/56.64 | Equations (471) can reduce 464 to:
% 106.37/56.64 | (482) ~ (e4 = e2)
% 106.37/56.64 |
% 106.37/56.64 | Simplifying 482 yields:
% 106.37/56.64 | (21) ~ (e4 = e2)
% 106.37/56.64 |
% 106.37/56.64 +-Applying beta-rule and splitting (593), into two cases.
% 106.37/56.64 |-Branch one:
% 106.37/56.64 | (1698) all_0_25_25 = e3
% 106.37/56.64 |
% 106.37/56.64 | Equations (1698) can reduce 577 to:
% 106.37/56.64 | (400) $false
% 106.37/56.64 |
% 106.37/56.64 |-The branch is then unsatisfiable
% 106.37/56.64 |-Branch two:
% 106.37/56.64 | (577) ~ (all_0_25_25 = e3)
% 106.37/56.65 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (51), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (793) all_0_17_17 = e4
% 106.37/56.65 |
% 106.37/56.65 | Equations (793) can reduce 456 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (456) ~ (all_0_17_17 = e4)
% 106.37/56.65 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (796), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (797) all_0_22_22 = e4
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (442,797) yields a new equation:
% 106.37/56.65 | (798) e4 = e2
% 106.37/56.65 |
% 106.37/56.65 | Equations (798) can reduce 21 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (800) ~ (all_0_22_22 = e4)
% 106.37/56.65 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (1701), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (1536) all_0_25_25 = e2
% 106.37/56.65 |
% 106.37/56.65 | Equations (1536) can reduce 473 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (473) ~ (all_0_25_25 = e2)
% 106.37/56.65 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (1705), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (1495) all_0_25_25 = e1
% 106.37/56.65 |
% 106.37/56.65 | Equations (1495) can reduce 1519 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (1519) ~ (all_0_25_25 = e1)
% 106.37/56.65 | (749) all_0_25_25 = e0
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 42 to:
% 106.37/56.65 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 185 to:
% 106.37/56.65 | (757) ~ (all_0_28_28 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 757 yields:
% 106.37/56.65 | (758) ~ (all_0_28_28 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 505 to:
% 106.37/56.65 | (543) ~ (e4 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 543 yields:
% 106.37/56.65 | (267) ~ (e4 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 577 to:
% 106.37/56.65 | (665) ~ (e3 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 665 yields:
% 106.37/56.65 | (80) ~ (e3 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 473 to:
% 106.37/56.65 | (496) ~ (e2 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 496 yields:
% 106.37/56.65 | (336) ~ (e2 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Equations (749) can reduce 1519 to:
% 106.37/56.65 | (498) ~ (e1 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 498 yields:
% 106.37/56.65 | (40) ~ (e1 = e0)
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (241), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (793) all_0_17_17 = e4
% 106.37/56.65 |
% 106.37/56.65 | Equations (793) can reduce 456 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (456) ~ (all_0_17_17 = e4)
% 106.37/56.65 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (1172), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (855) all_0_17_17 = e3
% 106.37/56.65 |
% 106.37/56.65 | Equations (855) can reduce 282 to:
% 106.37/56.65 | (6232) ~ (all_0_37_37 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 6232 yields:
% 106.37/56.65 | (1127) ~ (all_0_37_37 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Equations (855) can reduce 396 to:
% 106.37/56.65 | (52) ~ (e3 = e2)
% 106.37/56.65 |
% 106.37/56.65 | Equations (855) can reduce 659 to:
% 106.37/56.65 | (80) ~ (e3 = e0)
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (801), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (804) all_0_27_27 = e4
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (816,804) yields a new equation:
% 106.37/56.65 | (838) e4 = e1
% 106.37/56.65 |
% 106.37/56.65 | Equations (838) can reduce 56 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.65 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (841), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (609) all_0_32_32 = e4
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (658,609) yields a new equation:
% 106.37/56.65 | (515) e4 = e0
% 106.37/56.65 |
% 106.37/56.65 | Equations (515) can reduce 267 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (604) ~ (all_0_32_32 = e4)
% 106.37/56.65 | (847) all_0_37_37 = e4
% 106.37/56.65 |
% 106.37/56.65 | Equations (847) can reduce 24 to:
% 106.37/56.65 | (606) ~ (all_0_39_39 = e4)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 606 yields:
% 106.37/56.65 | (607) ~ (all_0_39_39 = e4)
% 106.37/56.65 |
% 106.37/56.65 | Equations (847) can reduce 1127 to:
% 106.37/56.65 | (255) ~ (e4 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Equations (847) can reduce 450 to:
% 106.37/56.65 | (21) ~ (e4 = e2)
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (254), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (728) all_0_35_35 = e3
% 106.37/56.65 |
% 106.37/56.65 | Equations (728) can reduce 585 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (585) ~ (all_0_35_35 = e3)
% 106.37/56.65 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (340), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (756) all_0_18_18 = e0
% 106.37/56.65 |
% 106.37/56.65 | Equations (756) can reduce 302 to:
% 106.37/56.65 | (757) ~ (all_0_28_28 = e0)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 757 yields:
% 106.37/56.65 | (758) ~ (all_0_28_28 = e0)
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (54), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (1191) all_0_18_18 = e2
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (1191,756) yields a new equation:
% 106.37/56.65 | (524) e2 = e0
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 524 yields:
% 106.37/56.65 | (525) e2 = e0
% 106.37/56.65 |
% 106.37/56.65 | Equations (525) can reduce 336 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (638) ~ (all_0_18_18 = e2)
% 106.37/56.65 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (86), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (854) all_0_28_28 = e4
% 106.37/56.65 |
% 106.37/56.65 | Equations (854) can reduce 883 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (883) ~ (all_0_28_28 = e4)
% 106.37/56.65 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (3929), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (6267) all_0_23_23 = e2
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (6267,427) yields a new equation:
% 106.37/56.65 | (620) e2 = e1
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 620 yields:
% 106.37/56.65 | (621) e2 = e1
% 106.37/56.65 |
% 106.37/56.65 | Equations (621) can reduce 310 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (6271) ~ (all_0_23_23 = e2)
% 106.37/56.65 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (312), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (594) ~ (all_0_33_33 = e4)
% 106.37/56.65 |
% 106.37/56.65 | Equations (1322) can reduce 594 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (1322) all_0_33_33 = e4
% 106.37/56.65 | (4462) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (1021), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (1106) all_0_28_28 = e3
% 106.37/56.65 |
% 106.37/56.65 | Equations (1106) can reduce 207 to:
% 106.37/56.65 | (3094) ~ (all_0_38_38 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 3094 yields:
% 106.37/56.65 | (3095) ~ (all_0_38_38 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Equations (1106) can reduce 883 to:
% 106.37/56.65 | (558) ~ (e4 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 558 yields:
% 106.37/56.65 | (255) ~ (e4 = e3)
% 106.37/56.65 |
% 106.37/56.65 | Equations (1106) can reduce 477 to:
% 106.37/56.65 | (52) ~ (e3 = e2)
% 106.37/56.65 |
% 106.37/56.65 | Equations (1106) can reduce 758 to:
% 106.37/56.65 | (80) ~ (e3 = e0)
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (77), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (594) ~ (all_0_33_33 = e4)
% 106.37/56.65 |
% 106.37/56.65 | Equations (1322) can reduce 594 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (1322) all_0_33_33 = e4
% 106.37/56.65 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (6272), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (1118) all_0_28_28 = e2
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (1106,1118) yields a new equation:
% 106.37/56.65 | (614) e3 = e2
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 614 yields:
% 106.37/56.65 | (615) e3 = e2
% 106.37/56.65 |
% 106.37/56.65 | Equations (615) can reduce 52 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.65 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (4535), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (4536) all_0_36_36 = e3
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (534,4536) yields a new equation:
% 106.37/56.65 | (648) e3 = e0
% 106.37/56.65 |
% 106.37/56.65 | Equations (648) can reduce 80 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (4540) ~ (all_0_36_36 = e3)
% 106.37/56.65 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.65 |
% 106.37/56.65 +-Applying beta-rule and splitting (6293), into two cases.
% 106.37/56.65 |-Branch one:
% 106.37/56.65 | (637) all_0_33_33 = e2
% 106.37/56.65 |
% 106.37/56.65 | Combining equations (1322,637) yields a new equation:
% 106.37/56.65 | (1531) e4 = e2
% 106.37/56.65 |
% 106.37/56.65 | Simplifying 1531 yields:
% 106.37/56.65 | (798) e4 = e2
% 106.37/56.65 |
% 106.37/56.65 | Equations (798) can reduce 21 to:
% 106.37/56.65 | (400) $false
% 106.37/56.65 |
% 106.37/56.65 |-The branch is then unsatisfiable
% 106.37/56.65 |-Branch two:
% 106.37/56.65 | (671) ~ (all_0_33_33 = e2)
% 106.37/56.65 | (3218) all_0_38_38 = e2
% 106.37/56.65 |
% 106.37/56.65 | Equations (3218) can reduce 3095 to:
% 106.37/56.65 | (643) ~ (e3 = e2)
% 106.37/56.66 |
% 106.37/56.66 | Simplifying 643 yields:
% 106.37/56.66 | (52) ~ (e3 = e2)
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (300), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (697) all_0_39_39 = e4
% 106.37/56.66 |
% 106.37/56.66 | Equations (697) can reduce 607 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (607) ~ (all_0_39_39 = e4)
% 106.37/56.66 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (700), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (701) all_0_39_39 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (701) can reduce 571 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (571) ~ (all_0_39_39 = e3)
% 106.37/56.66 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4541), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (936) all_0_37_37 = e3
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (936,847) yields a new equation:
% 106.37/56.66 | (597) e4 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (597) can reduce 255 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (1127) ~ (all_0_37_37 = e3)
% 106.37/56.66 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4729), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (3208) all_0_38_38 = e3
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (3208,3218) yields a new equation:
% 106.37/56.66 | (614) e3 = e2
% 106.37/56.66 |
% 106.37/56.66 | Simplifying 614 yields:
% 106.37/56.66 | (615) e3 = e2
% 106.37/56.66 |
% 106.37/56.66 | Equations (615) can reduce 52 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (3095) ~ (all_0_38_38 = e3)
% 106.37/56.66 | (701) all_0_39_39 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (701) can reduce 571 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (893) ~ (all_0_28_28 = e3)
% 106.37/56.66 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1117), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1118) all_0_28_28 = e2
% 106.37/56.66 |
% 106.37/56.66 | Equations (1118) can reduce 477 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.66 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1121), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1122) all_0_28_28 = e1
% 106.37/56.66 |
% 106.37/56.66 | Equations (1122) can reduce 434 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (434) ~ (all_0_28_28 = e1)
% 106.37/56.66 | (1125) all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (1125) can reduce 758 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (1141) ~ (all_0_18_18 = e0)
% 106.37/56.66 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4535), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (4536) all_0_36_36 = e3
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (4536,534) yields a new equation:
% 106.37/56.66 | (647) e3 = e0
% 106.37/56.66 |
% 106.37/56.66 | Simplifying 647 yields:
% 106.37/56.66 | (648) e3 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (648) can reduce 80 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (4540) ~ (all_0_36_36 = e3)
% 106.37/56.66 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (86), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (854) all_0_28_28 = e4
% 106.37/56.66 |
% 106.37/56.66 | Equations (854) can reduce 883 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (883) ~ (all_0_28_28 = e4)
% 106.37/56.66 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4541), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (936) all_0_37_37 = e3
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (936,847) yields a new equation:
% 106.37/56.66 | (597) e4 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (597) can reduce 255 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (1127) ~ (all_0_37_37 = e3)
% 106.37/56.66 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4729), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (3208) all_0_38_38 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (3208) can reduce 207 to:
% 106.37/56.66 | (893) ~ (all_0_28_28 = e3)
% 106.37/56.66 |
% 106.37/56.66 | Equations (3208) can reduce 540 to:
% 106.37/56.66 | (80) ~ (e3 = e0)
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (54), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1191) all_0_18_18 = e2
% 106.37/56.66 |
% 106.37/56.66 | Equations (1191) can reduce 302 to:
% 106.37/56.66 | (476) ~ (all_0_28_28 = e2)
% 106.37/56.66 |
% 106.37/56.66 | Simplifying 476 yields:
% 106.37/56.66 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1142), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (4698) all_0_23_23 = e0
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (4698,427) yields a new equation:
% 106.37/56.66 | (531) e1 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (531) can reduce 40 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (4702) ~ (all_0_23_23 = e0)
% 106.37/56.66 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1021), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1106) all_0_28_28 = e3
% 106.37/56.66 |
% 106.37/56.66 | Equations (1106) can reduce 893 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (893) ~ (all_0_28_28 = e3)
% 106.37/56.66 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1117), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1118) all_0_28_28 = e2
% 106.37/56.66 |
% 106.37/56.66 | Equations (1118) can reduce 477 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.66 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (4703), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1125) all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (1125) can reduce 758 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (758) ~ (all_0_28_28 = e0)
% 106.37/56.66 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (1121), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1122) all_0_28_28 = e1
% 106.37/56.66 |
% 106.37/56.66 | Equations (1122) can reduce 434 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (434) ~ (all_0_28_28 = e1)
% 106.37/56.66 | (1125) all_0_28_28 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (1125) can reduce 758 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (638) ~ (all_0_18_18 = e2)
% 106.37/56.66 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (57), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.66 | (1698) all_0_25_25 = e3
% 106.37/56.66 |
% 106.37/56.66 | Combining equations (1698,749) yields a new equation:
% 106.37/56.66 | (647) e3 = e0
% 106.37/56.66 |
% 106.37/56.66 | Simplifying 647 yields:
% 106.37/56.66 | (648) e3 = e0
% 106.37/56.66 |
% 106.37/56.66 | Equations (648) can reduce 80 to:
% 106.37/56.66 | (400) $false
% 106.37/56.66 |
% 106.37/56.66 |-The branch is then unsatisfiable
% 106.37/56.66 |-Branch two:
% 106.37/56.66 | (577) ~ (all_0_25_25 = e3)
% 106.37/56.66 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 106.37/56.66 |
% 106.37/56.66 +-Applying beta-rule and splitting (3929), into two cases.
% 106.37/56.66 |-Branch one:
% 106.37/56.67 | (6267) all_0_23_23 = e2
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (427,6267) yields a new equation:
% 106.37/56.67 | (621) e2 = e1
% 106.37/56.67 |
% 106.37/56.67 | Equations (621) can reduce 310 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (6271) ~ (all_0_23_23 = e2)
% 106.37/56.67 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (3006), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (3007) all_0_26_26 = e3
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (471,3007) yields a new equation:
% 106.37/56.67 | (615) e3 = e2
% 106.37/56.67 |
% 106.37/56.67 | Equations (615) can reduce 52 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (3010) ~ (all_0_26_26 = e3)
% 106.37/56.67 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 106.37/56.67 |
% 106.37/56.67 | Equations (471) can reduce 3010 to:
% 106.37/56.67 | (643) ~ (e3 = e2)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 643 yields:
% 106.37/56.67 | (52) ~ (e3 = e2)
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (6272), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (1118) all_0_28_28 = e2
% 106.37/56.67 |
% 106.37/56.67 | Equations (1118) can reduce 477 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (477) ~ (all_0_28_28 = e2)
% 106.37/56.67 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (6293), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (637) all_0_33_33 = e2
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (1322,637) yields a new equation:
% 106.37/56.67 | (1531) e4 = e2
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 1531 yields:
% 106.37/56.67 | (798) e4 = e2
% 106.37/56.67 |
% 106.37/56.67 | Equations (798) can reduce 21 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (671) ~ (all_0_33_33 = e2)
% 106.37/56.67 | (3218) all_0_38_38 = e2
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (3218,3208) yields a new equation:
% 106.37/56.67 | (615) e3 = e2
% 106.37/56.67 |
% 106.37/56.67 | Equations (615) can reduce 52 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (3095) ~ (all_0_38_38 = e3)
% 106.37/56.67 | (701) all_0_39_39 = e3
% 106.37/56.67 |
% 106.37/56.67 | Equations (701) can reduce 571 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (919) ~ (all_0_17_17 = e3)
% 106.37/56.67 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (1176), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (1177) all_0_17_17 = e2
% 106.37/56.67 |
% 106.37/56.67 | Equations (1177) can reduce 396 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (396) ~ (all_0_17_17 = e2)
% 106.37/56.67 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (801), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (804) all_0_27_27 = e4
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (816,804) yields a new equation:
% 106.37/56.67 | (838) e4 = e1
% 106.37/56.67 |
% 106.37/56.67 | Equations (838) can reduce 56 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (785) ~ (all_0_27_27 = e4)
% 106.37/56.67 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (92), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (736) all_0_15_15 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (736) can reduce 739 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (739) ~ (all_0_15_15 = e0)
% 106.37/56.67 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (1207), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (514) all_0_16_16 = e0
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (514,454) yields a new equation:
% 106.37/56.67 | (515) e4 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (515) can reduce 267 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (517) ~ (all_0_16_16 = e0)
% 106.37/56.67 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (454) can reduce 517 to:
% 106.37/56.67 | (267) ~ (e4 = e0)
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (841), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (609) all_0_32_32 = e4
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (658,609) yields a new equation:
% 106.37/56.67 | (515) e4 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (515) can reduce 267 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (604) ~ (all_0_32_32 = e4)
% 106.37/56.67 | (847) all_0_37_37 = e4
% 106.37/56.67 |
% 106.37/56.67 | Equations (847) can reduce 97 to:
% 106.37/56.67 | (1834) ~ (all_0_38_38 = e4)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 1834 yields:
% 106.37/56.67 | (1835) ~ (all_0_38_38 = e4)
% 106.37/56.67 |
% 106.37/56.67 | Equations (847) can reduce 24 to:
% 106.37/56.67 | (606) ~ (all_0_39_39 = e4)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 606 yields:
% 106.37/56.67 | (607) ~ (all_0_39_39 = e4)
% 106.37/56.67 |
% 106.37/56.67 | Equations (847) can reduce 450 to:
% 106.37/56.67 | (21) ~ (e4 = e2)
% 106.37/56.67 |
% 106.37/56.67 | Equations (847) can reduce 763 to:
% 106.37/56.67 | (56) ~ (e4 = e1)
% 106.37/56.67 |
% 106.37/56.67 | Equations (847) can reduce 538 to:
% 106.37/56.67 | (267) ~ (e4 = e0)
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (254), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (728) all_0_35_35 = e3
% 106.37/56.67 |
% 106.37/56.67 | Equations (728) can reduce 585 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (585) ~ (all_0_35_35 = e3)
% 106.37/56.67 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (4535), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (4536) all_0_36_36 = e3
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (534,4536) yields a new equation:
% 106.37/56.67 | (648) e3 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (648) can reduce 80 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (4540) ~ (all_0_36_36 = e3)
% 106.37/56.67 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (4541), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (936) all_0_37_37 = e3
% 106.37/56.67 |
% 106.37/56.67 | Combining equations (936,847) yields a new equation:
% 106.37/56.67 | (597) e4 = e3
% 106.37/56.67 |
% 106.37/56.67 | Equations (597) can reduce 255 to:
% 106.37/56.67 | (400) $false
% 106.37/56.67 |
% 106.37/56.67 |-The branch is then unsatisfiable
% 106.37/56.67 |-Branch two:
% 106.37/56.67 | (1127) ~ (all_0_37_37 = e3)
% 106.37/56.67 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (4729), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (3208) all_0_38_38 = e3
% 106.37/56.67 |
% 106.37/56.67 | Equations (3208) can reduce 38 to:
% 106.37/56.67 | (1189) ~ (all_0_18_18 = e3)
% 106.37/56.67 |
% 106.37/56.67 | Equations (3208) can reduce 1835 to:
% 106.37/56.67 | (558) ~ (e4 = e3)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 558 yields:
% 106.37/56.67 | (255) ~ (e4 = e3)
% 106.37/56.67 |
% 106.37/56.67 | Equations (3208) can reduce 438 to:
% 106.37/56.67 | (298) ~ (e3 = e1)
% 106.37/56.67 |
% 106.37/56.67 | Equations (3208) can reduce 540 to:
% 106.37/56.67 | (80) ~ (e3 = e0)
% 106.37/56.67 |
% 106.37/56.67 +-Applying beta-rule and splitting (340), into two cases.
% 106.37/56.67 |-Branch one:
% 106.37/56.67 | (756) all_0_18_18 = e0
% 106.37/56.67 |
% 106.37/56.67 | Equations (756) can reduce 9 to:
% 106.37/56.67 | (659) ~ (all_0_17_17 = e0)
% 106.37/56.67 |
% 106.37/56.67 | Equations (756) can reduce 458 to:
% 106.37/56.67 | (543) ~ (e4 = e0)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 543 yields:
% 106.37/56.67 | (267) ~ (e4 = e0)
% 106.37/56.67 |
% 106.37/56.67 | Equations (756) can reduce 1189 to:
% 106.37/56.67 | (665) ~ (e3 = e0)
% 106.37/56.67 |
% 106.37/56.67 | Simplifying 665 yields:
% 106.37/56.67 | (80) ~ (e3 = e0)
% 106.37/56.67 |
% 106.37/56.67 | Equations (756) can reduce 428 to:
% 106.37/56.68 | (498) ~ (e1 = e0)
% 106.37/56.68 |
% 106.37/56.68 | Simplifying 498 yields:
% 106.37/56.68 | (40) ~ (e1 = e0)
% 106.37/56.68 |
% 106.37/56.68 +-Applying beta-rule and splitting (312), into two cases.
% 106.37/56.68 |-Branch one:
% 106.37/56.68 | (594) ~ (all_0_33_33 = e4)
% 106.37/56.68 |
% 106.37/56.68 | Equations (1322) can reduce 594 to:
% 106.37/56.68 | (400) $false
% 106.37/56.68 |
% 106.37/56.68 |-The branch is then unsatisfiable
% 106.37/56.68 |-Branch two:
% 106.37/56.68 | (1322) all_0_33_33 = e4
% 106.37/56.68 | (4462) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 106.37/56.68 |
% 106.37/56.68 +-Applying beta-rule and splitting (77), into two cases.
% 106.37/56.68 |-Branch one:
% 106.37/56.68 | (594) ~ (all_0_33_33 = e4)
% 106.37/56.68 |
% 106.37/56.68 | Equations (1322) can reduce 594 to:
% 106.37/56.68 | (400) $false
% 106.37/56.68 |
% 106.37/56.68 |-The branch is then unsatisfiable
% 106.37/56.68 |-Branch two:
% 106.37/56.68 | (1322) all_0_33_33 = e4
% 106.37/56.68 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 106.37/56.68 |
% 106.37/56.68 +-Applying beta-rule and splitting (251), into two cases.
% 106.37/56.68 |-Branch one:
% 106.37/56.68 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 106.37/56.68 |
% 106.37/56.68 +-Applying beta-rule and splitting (1278), into two cases.
% 106.37/56.68 |-Branch one:
% 106.37/56.68 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 106.37/56.68 |
% 106.37/56.68 +-Applying beta-rule and splitting (1279), into two cases.
% 106.37/56.68 |-Branch one:
% 106.37/56.68 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1280), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1281), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1282), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1283), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1284), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1285), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1286), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1287), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1288), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1289), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1290), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1291), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1292), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1293), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1294), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 106.56/56.68 |
% 106.56/56.68 +-Applying beta-rule and splitting (1295), into two cases.
% 106.56/56.68 |-Branch one:
% 106.56/56.68 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 106.56/56.68 |
% 106.56/56.68 | Applying alpha-rule on (1296) yields:
% 106.56/56.68 | (1297) all_0_15_15 = e3
% 106.56/56.68 | (550) all_0_21_21 = e4
% 106.56/56.68 | (1299) ~ (all_0_16_16 = e4)
% 106.56/56.68 |
% 106.56/56.68 | Combining equations (557,550) yields a new equation:
% 106.56/56.68 | (597) e4 = e3
% 106.56/56.68 |
% 106.56/56.68 | Equations (597) can reduce 255 to:
% 106.56/56.68 | (400) $false
% 106.56/56.68 |
% 106.56/56.68 |-The branch is then unsatisfiable
% 106.56/56.68 |-Branch two:
% 106.56/56.68 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 106.56/56.68 |
% 106.56/56.69 | Applying alpha-rule on (1303) yields:
% 106.56/56.69 | (1297) all_0_15_15 = e3
% 106.56/56.69 | (550) all_0_21_21 = e4
% 106.56/56.69 | (1306) ~ (all_0_20_20 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (557,550) yields a new equation:
% 106.56/56.69 | (597) e4 = e3
% 106.56/56.69 |
% 106.56/56.69 | Equations (597) can reduce 255 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1310) yields:
% 106.56/56.69 | (711) all_0_15_15 = e2
% 106.56/56.69 | (804) all_0_27_27 = e4
% 106.56/56.69 | (456) ~ (all_0_17_17 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (816,804) yields a new equation:
% 106.56/56.69 | (838) e4 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (838) can reduce 56 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1315) yields:
% 106.56/56.69 | (711) all_0_15_15 = e2
% 106.56/56.69 | (804) all_0_27_27 = e4
% 106.56/56.69 | (473) ~ (all_0_25_25 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (816,804) yields a new equation:
% 106.56/56.69 | (838) e4 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (838) can reduce 56 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1320) yields:
% 106.56/56.69 | (969) all_0_15_15 = e1
% 106.56/56.69 | (1322) all_0_33_33 = e4
% 106.56/56.69 | (458) ~ (all_0_18_18 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Equations (969) can reduce 344 to:
% 106.56/56.69 | (5989) ~ (all_0_17_17 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Simplifying 5989 yields:
% 106.56/56.69 | (817) ~ (all_0_17_17 = e1)
% 106.56/56.69 |
% 106.56/56.69 +-Applying beta-rule and splitting (1180), into two cases.
% 106.56/56.69 |-Branch one:
% 106.56/56.69 | (980) all_0_17_17 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (980) can reduce 817 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (817) ~ (all_0_17_17 = e1)
% 106.56/56.69 | (1184) all_0_17_17 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (1184) can reduce 659 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1326) yields:
% 106.56/56.69 | (969) all_0_15_15 = e1
% 106.56/56.69 | (1322) all_0_33_33 = e4
% 106.56/56.69 | (417) ~ (all_0_30_30 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Equations (969) can reduce 344 to:
% 106.56/56.69 | (5989) ~ (all_0_17_17 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Simplifying 5989 yields:
% 106.56/56.69 | (817) ~ (all_0_17_17 = e1)
% 106.56/56.69 |
% 106.56/56.69 +-Applying beta-rule and splitting (1180), into two cases.
% 106.56/56.69 |-Branch one:
% 106.56/56.69 | (980) all_0_17_17 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (980) can reduce 817 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (817) ~ (all_0_17_17 = e1)
% 106.56/56.69 | (1184) all_0_17_17 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (1184) can reduce 659 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1332) yields:
% 106.56/56.69 | (736) all_0_15_15 = e0
% 106.56/56.69 | (697) all_0_39_39 = e4
% 106.56/56.69 | (460) ~ (all_0_19_19 = e4)
% 106.56/56.69 |
% 106.56/56.69 | Equations (697) can reduce 607 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1339) yields:
% 106.56/56.69 | (736) all_0_15_15 = e0
% 106.56/56.69 | (697) all_0_39_39 = e4
% 106.56/56.69 | (536) ~ (all_0_35_35 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Equations (697) can reduce 607 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1346) yields:
% 106.56/56.69 | (1347) all_0_21_21 = e2
% 106.56/56.69 | (808) all_0_27_27 = e3
% 106.56/56.69 | (925) ~ (all_0_22_22 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (1347,557) yields a new equation:
% 106.56/56.69 | (615) e3 = e2
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (816,808) yields a new equation:
% 106.56/56.69 | (928) e3 = e1
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (928,615) yields a new equation:
% 106.56/56.69 | (621) e2 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (621) can reduce 310 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1352) yields:
% 106.56/56.69 | (1347) all_0_21_21 = e2
% 106.56/56.69 | (808) all_0_27_27 = e3
% 106.56/56.69 | (1355) ~ (all_0_26_26 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (1347,557) yields a new equation:
% 106.56/56.69 | (615) e3 = e2
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (816,808) yields a new equation:
% 106.56/56.69 | (928) e3 = e1
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (928,615) yields a new equation:
% 106.56/56.69 | (621) e2 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (621) can reduce 310 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1358) yields:
% 106.56/56.69 | (1359) all_0_21_21 = e1
% 106.56/56.69 | (1360) all_0_33_33 = e3
% 106.56/56.69 | (1361) ~ (all_0_23_23 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (1359,557) yields a new equation:
% 106.56/56.69 | (928) e3 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (928) can reduce 298 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1367) yields:
% 106.56/56.69 | (1359) all_0_21_21 = e1
% 106.56/56.69 | (1360) all_0_33_33 = e3
% 106.56/56.69 | (1370) ~ (all_0_31_31 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (1359,557) yields a new equation:
% 106.56/56.69 | (928) e3 = e1
% 106.56/56.69 |
% 106.56/56.69 | Equations (928) can reduce 298 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1376) yields:
% 106.56/56.69 | (519) all_0_21_21 = e0
% 106.56/56.69 | (701) all_0_39_39 = e3
% 106.56/56.69 | (1379) ~ (all_0_24_24 = e3)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (519,557) yields a new equation:
% 106.56/56.69 | (648) e3 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (648) can reduce 80 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1385) yields:
% 106.56/56.69 | (519) all_0_21_21 = e0
% 106.56/56.69 | (701) all_0_39_39 = e3
% 106.56/56.69 | (1388) ~ (all_0_36_36 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (519,557) yields a new equation:
% 106.56/56.69 | (648) e3 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (648) can reduce 80 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1394) yields:
% 106.56/56.69 | (816) all_0_27_27 = e1
% 106.56/56.69 | (637) all_0_33_33 = e2
% 106.56/56.69 | (477) ~ (all_0_28_28 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (637,1322) yields a new equation:
% 106.56/56.69 | (798) e4 = e2
% 106.56/56.69 |
% 106.56/56.69 | Equations (798) can reduce 21 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1421) yields:
% 106.56/56.69 | (816) all_0_27_27 = e1
% 106.56/56.69 | (637) all_0_33_33 = e2
% 106.56/56.69 | (419) ~ (all_0_32_32 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (637,1322) yields a new equation:
% 106.56/56.69 | (798) e4 = e2
% 106.56/56.69 |
% 106.56/56.69 | Equations (798) can reduce 21 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1448) yields:
% 106.56/56.69 | (995) all_0_27_27 = e0
% 106.56/56.69 | (705) all_0_39_39 = e2
% 106.56/56.69 | (479) ~ (all_0_29_29 = e2)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (995,816) yields a new equation:
% 106.56/56.69 | (531) e1 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (531) can reduce 40 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1455) yields:
% 106.56/56.69 | (995) all_0_27_27 = e0
% 106.56/56.69 | (705) all_0_39_39 = e2
% 106.56/56.69 | (538) ~ (all_0_37_37 = e0)
% 106.56/56.69 |
% 106.56/56.69 | Combining equations (995,816) yields a new equation:
% 106.56/56.69 | (531) e1 = e0
% 106.56/56.69 |
% 106.56/56.69 | Equations (531) can reduce 40 to:
% 106.56/56.69 | (400) $false
% 106.56/56.69 |
% 106.56/56.69 |-The branch is then unsatisfiable
% 106.56/56.69 |-Branch two:
% 106.56/56.69 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 106.56/56.69 |
% 106.56/56.69 | Applying alpha-rule on (1462) yields:
% 106.56/56.69 | (1463) all_0_33_33 = e0
% 106.56/56.69 | (1252) all_0_39_39 = e1
% 106.56/56.69 | (421) ~ (all_0_34_34 = e1)
% 106.56/56.69 |
% 106.56/56.70 | Combining equations (1322,1463) yields a new equation:
% 106.56/56.70 | (743) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Simplifying 743 yields:
% 106.56/56.70 | (515) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (515) can reduce 267 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 106.56/56.70 |
% 106.56/56.70 | Applying alpha-rule on (1469) yields:
% 106.56/56.70 | (1463) all_0_33_33 = e0
% 106.56/56.70 | (1252) all_0_39_39 = e1
% 106.56/56.70 | (540) ~ (all_0_38_38 = e0)
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (1322,1463) yields a new equation:
% 106.56/56.70 | (743) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Simplifying 743 yields:
% 106.56/56.70 | (515) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (515) can reduce 267 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (1141) ~ (all_0_18_18 = e0)
% 106.56/56.70 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (1142), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (4698) all_0_23_23 = e0
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (427,4698) yields a new equation:
% 106.56/56.70 | (530) e1 = e0
% 106.56/56.70 |
% 106.56/56.70 | Simplifying 530 yields:
% 106.56/56.70 | (531) e1 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (531) can reduce 40 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (4702) ~ (all_0_23_23 = e0)
% 106.56/56.70 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (4703), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1125) all_0_28_28 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (1125) can reduce 758 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (758) ~ (all_0_28_28 = e0)
% 106.56/56.70 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (4707), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1463) all_0_33_33 = e0
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (1322,1463) yields a new equation:
% 106.56/56.70 | (743) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Simplifying 743 yields:
% 106.56/56.70 | (515) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (515) can reduce 267 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (2612) ~ (all_0_33_33 = e0)
% 106.56/56.70 | (3225) all_0_38_38 = e0
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (3225,3208) yields a new equation:
% 106.56/56.70 | (648) e3 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (648) can reduce 80 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (3095) ~ (all_0_38_38 = e3)
% 106.56/56.70 | (701) all_0_39_39 = e3
% 106.56/56.70 |
% 106.56/56.70 | Equations (701) can reduce 571 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (889) ~ (all_0_32_32 = e0)
% 106.56/56.70 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (2544), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1463) all_0_33_33 = e0
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (1463,1322) yields a new equation:
% 106.56/56.70 | (515) e4 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (515) can reduce 267 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (2612) ~ (all_0_33_33 = e0)
% 106.56/56.70 | (4345) all_0_34_34 = e0
% 106.56/56.70 |
% 106.56/56.70 | Combining equations (4345,2551) yields a new equation:
% 106.56/56.70 | (525) e2 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (525) can reduce 336 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (4340) ~ (all_0_34_34 = e2)
% 106.56/56.70 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (4341), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (4342) all_0_34_34 = e1
% 106.56/56.70 |
% 106.56/56.70 | Equations (4342) can reduce 421 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (421) ~ (all_0_34_34 = e1)
% 106.56/56.70 | (4345) all_0_34_34 = e0
% 106.56/56.70 |
% 106.56/56.70 | Equations (4345) can reduce 495 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (1800) ~ (all_0_30_30 = e3)
% 106.56/56.70 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (232), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1297) all_0_15_15 = e3
% 106.56/56.70 |
% 106.56/56.70 | Equations (1297) can reduce 572 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (572) ~ (all_0_15_15 = e3)
% 106.56/56.70 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (161), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (594) ~ (all_0_33_33 = e4)
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (147), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1008) all_0_18_18 = e4
% 106.56/56.70 |
% 106.56/56.70 | Equations (1008) can reduce 458 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (458) ~ (all_0_18_18 = e4)
% 106.56/56.70 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (71), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (595) all_0_30_30 = e4
% 106.56/56.70 |
% 106.56/56.70 | Equations (595) can reduce 507 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (507) ~ (all_0_30_30 = e4)
% 106.56/56.70 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (297), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (595) all_0_30_30 = e4
% 106.56/56.70 |
% 106.56/56.70 | Equations (595) can reduce 507 to:
% 106.56/56.70 | (400) $false
% 106.56/56.70 |
% 106.56/56.70 |-The branch is then unsatisfiable
% 106.56/56.70 |-Branch two:
% 106.56/56.70 | (507) ~ (all_0_30_30 = e4)
% 106.56/56.70 | (600) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 106.56/56.70 |
% 106.56/56.70 +-Applying beta-rule and splitting (129), into two cases.
% 106.56/56.70 |-Branch one:
% 106.56/56.70 | (1322) all_0_33_33 = e4
% 106.56/56.70 |
% 106.56/56.71 | Equations (1322) can reduce 594 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (594) ~ (all_0_33_33 = e4)
% 106.56/56.71 | (2588) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (108), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (739) ~ (all_0_15_15 = e0)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (123), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (736) all_0_15_15 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (736) can reduce 739 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (739) ~ (all_0_15_15 = e0)
% 106.56/56.71 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (158), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (6706) all_0_15_15 = e4
% 106.56/56.71 |
% 106.56/56.71 | Equations (6706) can reduce 501 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (501) ~ (all_0_15_15 = e4)
% 106.56/56.71 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (92), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (736) all_0_15_15 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (736) can reduce 739 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (739) ~ (all_0_15_15 = e0)
% 106.56/56.71 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (263), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (601) all_0_34_34 = e4
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 295 to:
% 106.56/56.71 | (460) ~ (all_0_19_19 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 84 to:
% 106.56/56.71 | (603) ~ (all_0_29_29 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 202 to:
% 106.56/56.71 | (507) ~ (all_0_30_30 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 132 to:
% 106.56/56.71 | (604) ~ (all_0_32_32 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 155 to:
% 106.56/56.71 | (594) ~ (all_0_33_33 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 85 to:
% 106.56/56.71 | (606) ~ (all_0_39_39 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 606 yields:
% 106.56/56.71 | (607) ~ (all_0_39_39 = e4)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 421 to:
% 106.56/56.71 | (56) ~ (e4 = e1)
% 106.56/56.71 |
% 106.56/56.71 | Equations (601) can reduce 495 to:
% 106.56/56.71 | (267) ~ (e4 = e0)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (6679), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (6724) all_0_31_31 = e3
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (6724,414) yields a new equation:
% 106.56/56.71 | (1113) e3 = e1
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 1113 yields:
% 106.56/56.71 | (928) e3 = e1
% 106.56/56.71 |
% 106.56/56.71 | Equations (928) can reduce 298 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (6728) ~ (all_0_31_31 = e3)
% 106.56/56.71 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (6729), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (629) all_0_32_32 = e3
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 242 to:
% 106.56/56.71 | (919) ~ (all_0_17_17 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 170 to:
% 106.56/56.71 | (573) ~ (all_0_27_27 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 301 to:
% 106.56/56.71 | (1800) ~ (all_0_30_30 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 105 to:
% 106.56/56.71 | (580) ~ (all_0_33_33 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 580 yields:
% 106.56/56.71 | (574) ~ (all_0_33_33 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 211 to:
% 106.56/56.71 | (6232) ~ (all_0_37_37 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 6232 yields:
% 106.56/56.71 | (1127) ~ (all_0_37_37 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 604 to:
% 106.56/56.71 | (558) ~ (e4 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 558 yields:
% 106.56/56.71 | (255) ~ (e4 = e3)
% 106.56/56.71 |
% 106.56/56.71 | Equations (629) can reduce 448 to:
% 106.56/56.71 | (52) ~ (e3 = e2)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (141), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (857) ~ (all_0_27_27 = e1)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (127), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (671) ~ (all_0_33_33 = e2)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (107), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (613) all_0_30_30 = e2
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 3 to:
% 106.56/56.71 | (769) ~ (all_0_15_15 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 62 to:
% 106.56/56.71 | (473) ~ (all_0_25_25 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 150 to:
% 106.56/56.71 | (6746) ~ (all_0_33_33 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 6746 yields:
% 106.56/56.71 | (671) ~ (all_0_33_33 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 15 to:
% 106.56/56.71 | (718) ~ (all_0_35_35 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 718 yields:
% 106.56/56.71 | (719) ~ (all_0_35_35 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 507 to:
% 106.56/56.71 | (482) ~ (e4 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 482 yields:
% 106.56/56.71 | (21) ~ (e4 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 1800 to:
% 106.56/56.71 | (643) ~ (e3 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 643 yields:
% 106.56/56.71 | (52) ~ (e3 = e2)
% 106.56/56.71 |
% 106.56/56.71 | Equations (613) can reduce 417 to:
% 106.56/56.71 | (310) ~ (e2 = e1)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (2588), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (1360) all_0_33_33 = e3
% 106.56/56.71 |
% 106.56/56.71 | Equations (1360) can reduce 574 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (574) ~ (all_0_33_33 = e3)
% 106.56/56.71 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (2592), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (637) all_0_33_33 = e2
% 106.56/56.71 |
% 106.56/56.71 | Equations (637) can reduce 671 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (671) ~ (all_0_33_33 = e2)
% 106.56/56.71 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (740), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (742) all_0_20_20 = e0
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (742,500) yields a new equation:
% 106.56/56.71 | (515) e4 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (515) can reduce 267 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (490) ~ (all_0_20_20 = e0)
% 106.56/56.71 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (747), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (749) all_0_25_25 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (749) can reduce 122 to:
% 106.56/56.71 | (750) ~ (all_0_27_27 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 750 yields:
% 106.56/56.71 | (660) ~ (all_0_27_27 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Equations (749) can reduce 7 to:
% 106.56/56.71 | (492) ~ (all_0_29_29 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 492 yields:
% 106.56/56.71 | (493) ~ (all_0_29_29 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Equations (749) can reduce 194 to:
% 106.56/56.71 | (752) ~ (all_0_35_35 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 752 yields:
% 106.56/56.71 | (536) ~ (all_0_35_35 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Equations (749) can reduce 505 to:
% 106.56/56.71 | (543) ~ (e4 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 543 yields:
% 106.56/56.71 | (267) ~ (e4 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Equations (749) can reduce 473 to:
% 106.56/56.71 | (496) ~ (e2 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 496 yields:
% 106.56/56.71 | (336) ~ (e2 = e0)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (304), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (646) all_0_30_30 = e0
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (613,646) yields a new equation:
% 106.56/56.71 | (524) e2 = e0
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 524 yields:
% 106.56/56.71 | (525) e2 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (525) can reduce 336 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (650) ~ (all_0_30_30 = e0)
% 106.56/56.71 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (6683), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (6785) all_0_20_20 = e3
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (6785,500) yields a new equation:
% 106.56/56.71 | (597) e4 = e3
% 106.56/56.71 |
% 106.56/56.71 | Equations (597) can reduce 255 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (1306) ~ (all_0_20_20 = e3)
% 106.56/56.71 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 106.56/56.71 |
% 106.56/56.71 | Equations (500) can reduce 1306 to:
% 106.56/56.71 | (255) ~ (e4 = e3)
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (651), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (529) all_0_31_31 = e0
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (414,529) yields a new equation:
% 106.56/56.71 | (530) e1 = e0
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 530 yields:
% 106.56/56.71 | (531) e1 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (531) can reduce 40 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (533) ~ (all_0_31_31 = e0)
% 106.56/56.71 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (657), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (658) all_0_32_32 = e0
% 106.56/56.71 |
% 106.56/56.71 | Combining equations (629,658) yields a new equation:
% 106.56/56.71 | (647) e3 = e0
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 647 yields:
% 106.56/56.71 | (648) e3 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (648) can reduce 80 to:
% 106.56/56.71 | (400) $false
% 106.56/56.71 |
% 106.56/56.71 |-The branch is then unsatisfiable
% 106.56/56.71 |-Branch two:
% 106.56/56.71 | (889) ~ (all_0_32_32 = e0)
% 106.56/56.71 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 106.56/56.71 |
% 106.56/56.71 +-Applying beta-rule and splitting (2544), into two cases.
% 106.56/56.71 |-Branch one:
% 106.56/56.71 | (1463) all_0_33_33 = e0
% 106.56/56.71 |
% 106.56/56.71 | Equations (1463) can reduce 33 to:
% 106.56/56.71 | (1141) ~ (all_0_18_18 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Equations (1463) can reduce 199 to:
% 106.56/56.71 | (539) ~ (all_0_38_38 = e0)
% 106.56/56.71 |
% 106.56/56.71 | Simplifying 539 yields:
% 106.56/56.71 | (540) ~ (all_0_38_38 = e0)
% 106.56/56.71 |
% 106.56/56.72 | Equations (1463) can reduce 594 to:
% 106.56/56.72 | (543) ~ (e4 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Simplifying 543 yields:
% 106.56/56.72 | (267) ~ (e4 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Equations (1463) can reduce 574 to:
% 106.56/56.72 | (665) ~ (e3 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Simplifying 665 yields:
% 106.56/56.72 | (80) ~ (e3 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Equations (1463) can reduce 671 to:
% 106.56/56.72 | (496) ~ (e2 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Simplifying 496 yields:
% 106.56/56.72 | (336) ~ (e2 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Equations (1463) can reduce 436 to:
% 106.56/56.72 | (498) ~ (e1 = e0)
% 106.56/56.72 |
% 106.56/56.72 | Simplifying 498 yields:
% 106.56/56.72 | (40) ~ (e1 = e0)
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1207), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (514) all_0_16_16 = e0
% 106.56/56.72 |
% 106.56/56.72 | Combining equations (514,454) yields a new equation:
% 106.56/56.72 | (515) e4 = e0
% 106.56/56.72 |
% 106.56/56.72 | Equations (515) can reduce 267 to:
% 106.56/56.72 | (400) $false
% 106.56/56.72 |
% 106.56/56.72 |-The branch is then unsatisfiable
% 106.56/56.72 |-Branch two:
% 106.56/56.72 | (517) ~ (all_0_16_16 = e0)
% 106.56/56.72 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 106.56/56.72 |
% 106.56/56.72 | Equations (454) can reduce 517 to:
% 106.56/56.72 | (267) ~ (e4 = e0)
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (251), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1278), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1279), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1280), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1281), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1282), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1283), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1284), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1285), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1286), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1287), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1288), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1289), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1290), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1291), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1292), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1293), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1294), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 106.56/56.72 |
% 106.56/56.72 +-Applying beta-rule and splitting (1295), into two cases.
% 106.56/56.72 |-Branch one:
% 106.56/56.72 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 106.56/56.72 |
% 106.56/56.72 | Applying alpha-rule on (1296) yields:
% 106.56/56.72 | (1297) all_0_15_15 = e3
% 106.56/56.72 | (550) all_0_21_21 = e4
% 106.56/56.72 | (1299) ~ (all_0_16_16 = e4)
% 106.56/56.72 |
% 106.56/56.72 | Combining equations (557,550) yields a new equation:
% 106.56/56.72 | (597) e4 = e3
% 106.56/56.72 |
% 106.56/56.72 | Equations (597) can reduce 255 to:
% 106.56/56.72 | (400) $false
% 106.56/56.72 |
% 106.56/56.72 |-The branch is then unsatisfiable
% 106.56/56.72 |-Branch two:
% 106.56/56.72 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 106.56/56.72 |
% 106.56/56.72 | Applying alpha-rule on (1303) yields:
% 106.56/56.72 | (1297) all_0_15_15 = e3
% 106.56/56.72 | (550) all_0_21_21 = e4
% 106.56/56.72 | (1306) ~ (all_0_20_20 = e3)
% 106.56/56.72 |
% 106.56/56.72 | Combining equations (557,550) yields a new equation:
% 106.56/56.72 | (597) e4 = e3
% 106.56/56.72 |
% 106.56/56.72 | Equations (597) can reduce 255 to:
% 106.56/56.72 | (400) $false
% 106.56/56.72 |
% 106.56/56.72 |-The branch is then unsatisfiable
% 106.56/56.72 |-Branch two:
% 106.56/56.72 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 106.56/56.72 |
% 106.56/56.72 | Applying alpha-rule on (1310) yields:
% 106.56/56.72 | (711) all_0_15_15 = e2
% 106.56/56.72 | (804) all_0_27_27 = e4
% 106.56/56.72 | (456) ~ (all_0_17_17 = e4)
% 106.56/56.73 |
% 106.56/56.73 | Equations (711) can reduce 769 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1315) yields:
% 106.56/56.73 | (711) all_0_15_15 = e2
% 106.56/56.73 | (804) all_0_27_27 = e4
% 106.56/56.73 | (473) ~ (all_0_25_25 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Equations (711) can reduce 769 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1320) yields:
% 106.56/56.73 | (969) all_0_15_15 = e1
% 106.56/56.73 | (1322) all_0_33_33 = e4
% 106.56/56.73 | (458) ~ (all_0_18_18 = e4)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1463,1322) yields a new equation:
% 106.56/56.73 | (515) e4 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (515) can reduce 267 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1326) yields:
% 106.56/56.73 | (969) all_0_15_15 = e1
% 106.56/56.73 | (1322) all_0_33_33 = e4
% 106.56/56.73 | (417) ~ (all_0_30_30 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1463,1322) yields a new equation:
% 106.56/56.73 | (515) e4 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (515) can reduce 267 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1332) yields:
% 106.56/56.73 | (736) all_0_15_15 = e0
% 106.56/56.73 | (697) all_0_39_39 = e4
% 106.56/56.73 | (460) ~ (all_0_19_19 = e4)
% 106.56/56.73 |
% 106.56/56.73 | Equations (697) can reduce 607 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1339) yields:
% 106.56/56.73 | (736) all_0_15_15 = e0
% 106.56/56.73 | (697) all_0_39_39 = e4
% 106.56/56.73 | (536) ~ (all_0_35_35 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Equations (697) can reduce 607 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1346) yields:
% 106.56/56.73 | (1347) all_0_21_21 = e2
% 106.56/56.73 | (808) all_0_27_27 = e3
% 106.56/56.73 | (925) ~ (all_0_22_22 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1347,557) yields a new equation:
% 106.56/56.73 | (615) e3 = e2
% 106.56/56.73 |
% 106.56/56.73 | Equations (615) can reduce 52 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1352) yields:
% 106.56/56.73 | (1347) all_0_21_21 = e2
% 106.56/56.73 | (808) all_0_27_27 = e3
% 106.56/56.73 | (1355) ~ (all_0_26_26 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1347,557) yields a new equation:
% 106.56/56.73 | (615) e3 = e2
% 106.56/56.73 |
% 106.56/56.73 | Equations (615) can reduce 52 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1358) yields:
% 106.56/56.73 | (1359) all_0_21_21 = e1
% 106.56/56.73 | (1360) all_0_33_33 = e3
% 106.56/56.73 | (1361) ~ (all_0_23_23 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1359,557) yields a new equation:
% 106.56/56.73 | (928) e3 = e1
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1463,1360) yields a new equation:
% 106.56/56.73 | (648) e3 = e0
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (648,928) yields a new equation:
% 106.56/56.73 | (531) e1 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (531) can reduce 40 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1367) yields:
% 106.56/56.73 | (1359) all_0_21_21 = e1
% 106.56/56.73 | (1360) all_0_33_33 = e3
% 106.56/56.73 | (1370) ~ (all_0_31_31 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1359,557) yields a new equation:
% 106.56/56.73 | (928) e3 = e1
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (1463,1360) yields a new equation:
% 106.56/56.73 | (648) e3 = e0
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (648,928) yields a new equation:
% 106.56/56.73 | (531) e1 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (531) can reduce 40 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1376) yields:
% 106.56/56.73 | (519) all_0_21_21 = e0
% 106.56/56.73 | (701) all_0_39_39 = e3
% 106.56/56.73 | (1379) ~ (all_0_24_24 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (519,557) yields a new equation:
% 106.56/56.73 | (648) e3 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (648) can reduce 80 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1385) yields:
% 106.56/56.73 | (519) all_0_21_21 = e0
% 106.56/56.73 | (701) all_0_39_39 = e3
% 106.56/56.73 | (1388) ~ (all_0_36_36 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (519,557) yields a new equation:
% 106.56/56.73 | (648) e3 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (648) can reduce 80 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1394) yields:
% 106.56/56.73 | (816) all_0_27_27 = e1
% 106.56/56.73 | (637) all_0_33_33 = e2
% 106.56/56.73 | (477) ~ (all_0_28_28 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (637,1463) yields a new equation:
% 106.56/56.73 | (524) e2 = e0
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 524 yields:
% 106.56/56.73 | (525) e2 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (525) can reduce 336 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1421) yields:
% 106.56/56.73 | (816) all_0_27_27 = e1
% 106.56/56.73 | (637) all_0_33_33 = e2
% 106.56/56.73 | (419) ~ (all_0_32_32 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Combining equations (637,1463) yields a new equation:
% 106.56/56.73 | (524) e2 = e0
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 524 yields:
% 106.56/56.73 | (525) e2 = e0
% 106.56/56.73 |
% 106.56/56.73 | Equations (525) can reduce 336 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1448) yields:
% 106.56/56.73 | (995) all_0_27_27 = e0
% 106.56/56.73 | (705) all_0_39_39 = e2
% 106.56/56.73 | (479) ~ (all_0_29_29 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Equations (995) can reduce 660 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1455) yields:
% 106.56/56.73 | (995) all_0_27_27 = e0
% 106.56/56.73 | (705) all_0_39_39 = e2
% 106.56/56.73 | (538) ~ (all_0_37_37 = e0)
% 106.56/56.73 |
% 106.56/56.73 | Equations (995) can reduce 660 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Applying alpha-rule on (1462) yields:
% 106.56/56.73 | (1463) all_0_33_33 = e0
% 106.56/56.73 | (1252) all_0_39_39 = e1
% 106.56/56.73 | (421) ~ (all_0_34_34 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Equations (1252) can reduce 291 to:
% 106.56/56.73 | (2946) ~ (all_0_29_29 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Equations (1252) can reduce 24 to:
% 106.56/56.73 | (763) ~ (all_0_37_37 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Equations (1252) can reduce 571 to:
% 106.56/56.73 | (824) ~ (e3 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 824 yields:
% 106.56/56.73 | (298) ~ (e3 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Equations (1252) can reduce 542 to:
% 106.56/56.73 | (40) ~ (e1 = e0)
% 106.56/56.73 |
% 106.56/56.73 +-Applying beta-rule and splitting (249), into two cases.
% 106.56/56.73 |-Branch one:
% 106.56/56.73 | (980) all_0_17_17 = e1
% 106.56/56.73 |
% 106.56/56.73 | Equations (980) can reduce 131 to:
% 106.56/56.73 | (3853) ~ (all_0_19_19 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 3853 yields:
% 106.56/56.73 | (943) ~ (all_0_19_19 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Equations (980) can reduce 396 to:
% 106.56/56.73 | (766) ~ (e2 = e1)
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 766 yields:
% 106.56/56.73 | (310) ~ (e2 = e1)
% 106.56/56.73 |
% 106.56/56.73 +-Applying beta-rule and splitting (88), into two cases.
% 106.56/56.73 |-Branch one:
% 106.56/56.73 | (941) all_0_29_29 = e4
% 106.56/56.73 |
% 106.56/56.73 | Equations (941) can reduce 603 to:
% 106.56/56.73 | (400) $false
% 106.56/56.73 |
% 106.56/56.73 |-The branch is then unsatisfiable
% 106.56/56.73 |-Branch two:
% 106.56/56.73 | (603) ~ (all_0_29_29 = e4)
% 106.56/56.73 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.56/56.73 |
% 106.56/56.73 +-Applying beta-rule and splitting (5059), into two cases.
% 106.56/56.73 |-Branch one:
% 106.56/56.73 | (3056) all_0_29_29 = e3
% 106.56/56.73 |
% 106.56/56.73 | Equations (3056) can reduce 174 to:
% 106.56/56.73 | (1150) ~ (all_0_19_19 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Equations (3056) can reduce 603 to:
% 106.56/56.73 | (558) ~ (e4 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Simplifying 558 yields:
% 106.56/56.73 | (255) ~ (e4 = e3)
% 106.56/56.73 |
% 106.56/56.73 | Equations (3056) can reduce 479 to:
% 106.56/56.73 | (52) ~ (e3 = e2)
% 106.56/56.73 |
% 106.56/56.73 | Equations (3056) can reduce 2946 to:
% 106.56/56.73 | (298) ~ (e3 = e1)
% 106.56/56.73 |
% 106.56/56.73 +-Applying beta-rule and splitting (168), into two cases.
% 106.56/56.73 |-Branch one:
% 106.56/56.74 | (1163) all_0_19_19 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (1163) can reduce 1150 to:
% 106.56/56.74 | (643) ~ (e3 = e2)
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 643 yields:
% 106.56/56.74 | (52) ~ (e3 = e2)
% 106.56/56.74 |
% 106.56/56.74 | Equations (1163) can reduce 943 to:
% 106.56/56.74 | (310) ~ (e2 = e1)
% 106.56/56.74 |
% 106.56/56.74 | Equations (1163) can reduce 489 to:
% 106.56/56.74 | (336) ~ (e2 = e0)
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (121), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (732) all_0_35_35 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (732) can reduce 719 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (719) ~ (all_0_35_35 = e2)
% 106.56/56.74 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (1477), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1478) all_0_36_36 = e2
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (1478,534) yields a new equation:
% 106.56/56.74 | (524) e2 = e0
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 524 yields:
% 106.56/56.74 | (525) e2 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (525) can reduce 336 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (481) ~ (all_0_36_36 = e2)
% 106.56/56.74 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (1482), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1129) all_0_37_37 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (1129) can reduce 450 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (450) ~ (all_0_37_37 = e2)
% 106.56/56.74 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (4528), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (3218) all_0_38_38 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (3218) can reduce 38 to:
% 106.56/56.74 | (638) ~ (all_0_18_18 = e2)
% 106.56/56.74 |
% 106.56/56.74 | Equations (3218) can reduce 540 to:
% 106.56/56.74 | (336) ~ (e2 = e0)
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (198), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1297) all_0_15_15 = e3
% 106.56/56.74 |
% 106.56/56.74 | Equations (1297) can reduce 572 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (572) ~ (all_0_15_15 = e3)
% 106.56/56.74 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (2769), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (3117) all_0_16_16 = e3
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (3117,454) yields a new equation:
% 106.56/56.74 | (597) e4 = e3
% 106.56/56.74 |
% 106.56/56.74 | Equations (597) can reduce 255 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (3121) ~ (all_0_16_16 = e3)
% 106.56/56.74 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (3122), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (855) all_0_17_17 = e3
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (980,855) yields a new equation:
% 106.56/56.74 | (928) e3 = e1
% 106.56/56.74 |
% 106.56/56.74 | Equations (928) can reduce 298 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (919) ~ (all_0_17_17 = e3)
% 106.56/56.74 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (3176), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1147) all_0_18_18 = e3
% 106.56/56.74 |
% 106.56/56.74 | Equations (1147) can reduce 638 to:
% 106.56/56.74 | (52) ~ (e3 = e2)
% 106.56/56.74 |
% 106.56/56.74 | Equations (1147) can reduce 1141 to:
% 106.56/56.74 | (80) ~ (e3 = e0)
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (1212), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1184) all_0_17_17 = e0
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (980,1184) yields a new equation:
% 106.56/56.74 | (530) e1 = e0
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 530 yields:
% 106.56/56.74 | (531) e1 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (531) can reduce 40 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (659) ~ (all_0_17_17 = e0)
% 106.56/56.74 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (6789), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (1698) all_0_25_25 = e3
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (749,1698) yields a new equation:
% 106.56/56.74 | (648) e3 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (648) can reduce 80 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (577) ~ (all_0_25_25 = e3)
% 106.56/56.74 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (7020), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (575) all_0_30_30 = e3
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (613,575) yields a new equation:
% 106.56/56.74 | (615) e3 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (615) can reduce 52 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (1800) ~ (all_0_30_30 = e3)
% 106.56/56.74 | (728) all_0_35_35 = e3
% 106.56/56.74 |
% 106.56/56.74 | Equations (728) can reduce 536 to:
% 106.56/56.74 | (80) ~ (e3 = e0)
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (1216), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (756) all_0_18_18 = e0
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (756,1147) yields a new equation:
% 106.56/56.74 | (648) e3 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (648) can reduce 80 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (1141) ~ (all_0_18_18 = e0)
% 106.56/56.74 | (1187) all_0_19_19 = e0
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (1187,1163) yields a new equation:
% 106.56/56.74 | (525) e2 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (525) can reduce 336 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (1189) ~ (all_0_18_18 = e3)
% 106.56/56.74 | (1159) all_0_19_19 = e3
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (1159,1163) yields a new equation:
% 106.56/56.74 | (614) e3 = e2
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 614 yields:
% 106.56/56.74 | (615) e3 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (615) can reduce 52 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (2728) ~ (all_0_38_38 = e2)
% 106.56/56.74 | (705) all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (705,1252) yields a new equation:
% 106.56/56.74 | (620) e2 = e1
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 620 yields:
% 106.56/56.74 | (621) e2 = e1
% 106.56/56.74 |
% 106.56/56.74 | Equations (621) can reduce 310 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (706) ~ (all_0_19_19 = e2)
% 106.56/56.74 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (7045), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (7046) all_0_24_24 = e2
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (488,7046) yields a new equation:
% 106.56/56.74 | (525) e2 = e0
% 106.56/56.74 |
% 106.56/56.74 | Equations (525) can reduce 336 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (446) ~ (all_0_24_24 = e2)
% 106.56/56.74 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.74 |
% 106.56/56.74 +-Applying beta-rule and splitting (7050), into two cases.
% 106.56/56.74 |-Branch one:
% 106.56/56.74 | (5199) all_0_29_29 = e2
% 106.56/56.74 |
% 106.56/56.74 | Combining equations (3056,5199) yields a new equation:
% 106.56/56.74 | (614) e3 = e2
% 106.56/56.74 |
% 106.56/56.74 | Simplifying 614 yields:
% 106.56/56.74 | (615) e3 = e2
% 106.56/56.74 |
% 106.56/56.74 | Equations (615) can reduce 52 to:
% 106.56/56.74 | (400) $false
% 106.56/56.74 |
% 106.56/56.74 |-The branch is then unsatisfiable
% 106.56/56.74 |-Branch two:
% 106.56/56.74 | (479) ~ (all_0_29_29 = e2)
% 106.56/56.74 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (7056), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (2551) all_0_34_34 = e2
% 106.56/56.75 |
% 106.56/56.75 | Combining equations (2551,601) yields a new equation:
% 106.56/56.75 | (798) e4 = e2
% 106.56/56.75 |
% 106.56/56.75 | Equations (798) can reduce 21 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (4340) ~ (all_0_34_34 = e2)
% 106.56/56.75 | (705) all_0_39_39 = e2
% 106.56/56.75 |
% 106.56/56.75 | Combining equations (705,1252) yields a new equation:
% 106.56/56.75 | (620) e2 = e1
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 620 yields:
% 106.56/56.75 | (621) e2 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (621) can reduce 310 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (3115) ~ (all_0_29_29 = e3)
% 106.56/56.75 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (5198), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (5199) all_0_29_29 = e2
% 106.56/56.75 |
% 106.56/56.75 | Equations (5199) can reduce 479 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (479) ~ (all_0_29_29 = e2)
% 106.56/56.75 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (5202), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (4599) all_0_29_29 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (4599) can reduce 2946 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (2946) ~ (all_0_29_29 = e1)
% 106.56/56.75 | (5206) all_0_29_29 = e0
% 106.56/56.75 |
% 106.56/56.75 | Equations (5206) can reduce 493 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (817) ~ (all_0_17_17 = e1)
% 106.56/56.75 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (1085), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (1094) all_0_22_22 = e1
% 106.56/56.75 |
% 106.56/56.75 | Combining equations (1094,442) yields a new equation:
% 106.56/56.75 | (621) e2 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (621) can reduce 310 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (1098) ~ (all_0_22_22 = e1)
% 106.56/56.75 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (1099), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (816) all_0_27_27 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (816) can reduce 857 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (857) ~ (all_0_27_27 = e1)
% 106.56/56.75 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (1105), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (1108) all_0_32_32 = e1
% 106.56/56.75 |
% 106.56/56.75 | Combining equations (629,1108) yields a new equation:
% 106.56/56.75 | (1113) e3 = e1
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 1113 yields:
% 106.56/56.75 | (928) e3 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (928) can reduce 298 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (419) ~ (all_0_32_32 = e1)
% 106.56/56.75 | (1112) all_0_37_37 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (1112) can reduce 763 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 106.56/56.75 |
% 106.56/56.75 | Applying alpha-rule on (1469) yields:
% 106.56/56.75 | (1463) all_0_33_33 = e0
% 106.56/56.75 | (1252) all_0_39_39 = e1
% 106.56/56.75 | (540) ~ (all_0_38_38 = e0)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1252) can reduce 291 to:
% 106.56/56.75 | (2946) ~ (all_0_29_29 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1252) can reduce 24 to:
% 106.56/56.75 | (763) ~ (all_0_37_37 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1252) can reduce 571 to:
% 106.56/56.75 | (824) ~ (e3 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 824 yields:
% 106.56/56.75 | (298) ~ (e3 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1252) can reduce 542 to:
% 106.56/56.75 | (40) ~ (e1 = e0)
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (249), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (980) all_0_17_17 = e1
% 106.56/56.75 |
% 106.56/56.75 | Equations (980) can reduce 131 to:
% 106.56/56.75 | (3853) ~ (all_0_19_19 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 3853 yields:
% 106.56/56.75 | (943) ~ (all_0_19_19 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Equations (980) can reduce 396 to:
% 106.56/56.75 | (766) ~ (e2 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 766 yields:
% 106.56/56.75 | (310) ~ (e2 = e1)
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (88), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (941) all_0_29_29 = e4
% 106.56/56.75 |
% 106.56/56.75 | Equations (941) can reduce 603 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (603) ~ (all_0_29_29 = e4)
% 106.56/56.75 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (5059), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (3056) all_0_29_29 = e3
% 106.56/56.75 |
% 106.56/56.75 | Equations (3056) can reduce 174 to:
% 106.56/56.75 | (1150) ~ (all_0_19_19 = e3)
% 106.56/56.75 |
% 106.56/56.75 | Equations (3056) can reduce 603 to:
% 106.56/56.75 | (558) ~ (e4 = e3)
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 558 yields:
% 106.56/56.75 | (255) ~ (e4 = e3)
% 106.56/56.75 |
% 106.56/56.75 | Equations (3056) can reduce 479 to:
% 106.56/56.75 | (52) ~ (e3 = e2)
% 106.56/56.75 |
% 106.56/56.75 | Equations (3056) can reduce 2946 to:
% 106.56/56.75 | (298) ~ (e3 = e1)
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (168), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (1163) all_0_19_19 = e2
% 106.56/56.75 |
% 106.56/56.75 | Equations (1163) can reduce 1150 to:
% 106.56/56.75 | (643) ~ (e3 = e2)
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 643 yields:
% 106.56/56.75 | (52) ~ (e3 = e2)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1163) can reduce 943 to:
% 106.56/56.75 | (310) ~ (e2 = e1)
% 106.56/56.75 |
% 106.56/56.75 | Equations (1163) can reduce 489 to:
% 106.56/56.75 | (336) ~ (e2 = e0)
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (121), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (732) all_0_35_35 = e2
% 106.56/56.75 |
% 106.56/56.75 | Equations (732) can reduce 719 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (719) ~ (all_0_35_35 = e2)
% 106.56/56.75 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (1477), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (1478) all_0_36_36 = e2
% 106.56/56.75 |
% 106.56/56.75 | Combining equations (1478,534) yields a new equation:
% 106.56/56.75 | (524) e2 = e0
% 106.56/56.75 |
% 106.56/56.75 | Simplifying 524 yields:
% 106.56/56.75 | (525) e2 = e0
% 106.56/56.75 |
% 106.56/56.75 | Equations (525) can reduce 336 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (481) ~ (all_0_36_36 = e2)
% 106.56/56.75 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.75 |
% 106.56/56.75 +-Applying beta-rule and splitting (1482), into two cases.
% 106.56/56.75 |-Branch one:
% 106.56/56.75 | (1129) all_0_37_37 = e2
% 106.56/56.75 |
% 106.56/56.75 | Equations (1129) can reduce 450 to:
% 106.56/56.75 | (400) $false
% 106.56/56.75 |
% 106.56/56.75 |-The branch is then unsatisfiable
% 106.56/56.75 |-Branch two:
% 106.56/56.75 | (450) ~ (all_0_37_37 = e2)
% 106.56/56.75 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (4528), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (3218) all_0_38_38 = e2
% 106.56/56.76 |
% 106.56/56.76 | Equations (3218) can reduce 38 to:
% 106.56/56.76 | (638) ~ (all_0_18_18 = e2)
% 106.56/56.76 |
% 106.56/56.76 | Equations (3218) can reduce 540 to:
% 106.56/56.76 | (336) ~ (e2 = e0)
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (198), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (1297) all_0_15_15 = e3
% 106.56/56.76 |
% 106.56/56.76 | Equations (1297) can reduce 572 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (572) ~ (all_0_15_15 = e3)
% 106.56/56.76 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (2769), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (3117) all_0_16_16 = e3
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (3117,454) yields a new equation:
% 106.56/56.76 | (597) e4 = e3
% 106.56/56.76 |
% 106.56/56.76 | Equations (597) can reduce 255 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (3121) ~ (all_0_16_16 = e3)
% 106.56/56.76 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (3122), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (855) all_0_17_17 = e3
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (980,855) yields a new equation:
% 106.56/56.76 | (928) e3 = e1
% 106.56/56.76 |
% 106.56/56.76 | Equations (928) can reduce 298 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (919) ~ (all_0_17_17 = e3)
% 106.56/56.76 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (3176), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (1147) all_0_18_18 = e3
% 106.56/56.76 |
% 106.56/56.76 | Equations (1147) can reduce 638 to:
% 106.56/56.76 | (52) ~ (e3 = e2)
% 106.56/56.76 |
% 106.56/56.76 | Equations (1147) can reduce 1141 to:
% 106.56/56.76 | (80) ~ (e3 = e0)
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (1212), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (1184) all_0_17_17 = e0
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (980,1184) yields a new equation:
% 106.56/56.76 | (530) e1 = e0
% 106.56/56.76 |
% 106.56/56.76 | Simplifying 530 yields:
% 106.56/56.76 | (531) e1 = e0
% 106.56/56.76 |
% 106.56/56.76 | Equations (531) can reduce 40 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (659) ~ (all_0_17_17 = e0)
% 106.56/56.76 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (6789), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (1698) all_0_25_25 = e3
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (749,1698) yields a new equation:
% 106.56/56.76 | (648) e3 = e0
% 106.56/56.76 |
% 106.56/56.76 | Equations (648) can reduce 80 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (577) ~ (all_0_25_25 = e3)
% 106.56/56.76 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (7020), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (575) all_0_30_30 = e3
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (613,575) yields a new equation:
% 106.56/56.76 | (615) e3 = e2
% 106.56/56.76 |
% 106.56/56.76 | Equations (615) can reduce 52 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (1800) ~ (all_0_30_30 = e3)
% 106.56/56.76 | (728) all_0_35_35 = e3
% 106.56/56.76 |
% 106.56/56.76 | Equations (728) can reduce 536 to:
% 106.56/56.76 | (80) ~ (e3 = e0)
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (1216), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (756) all_0_18_18 = e0
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (756,1147) yields a new equation:
% 106.56/56.76 | (648) e3 = e0
% 106.56/56.76 |
% 106.56/56.76 | Equations (648) can reduce 80 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (1141) ~ (all_0_18_18 = e0)
% 106.56/56.76 | (1187) all_0_19_19 = e0
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (1187,1163) yields a new equation:
% 106.56/56.76 | (525) e2 = e0
% 106.56/56.76 |
% 106.56/56.76 | Equations (525) can reduce 336 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (1189) ~ (all_0_18_18 = e3)
% 106.56/56.76 | (1159) all_0_19_19 = e3
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (1159,1163) yields a new equation:
% 106.56/56.76 | (614) e3 = e2
% 106.56/56.76 |
% 106.56/56.76 | Simplifying 614 yields:
% 106.56/56.76 | (615) e3 = e2
% 106.56/56.76 |
% 106.56/56.76 | Equations (615) can reduce 52 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (2728) ~ (all_0_38_38 = e2)
% 106.56/56.76 | (705) all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (705,1252) yields a new equation:
% 106.56/56.76 | (620) e2 = e1
% 106.56/56.76 |
% 106.56/56.76 | Simplifying 620 yields:
% 106.56/56.76 | (621) e2 = e1
% 106.56/56.76 |
% 106.56/56.76 | Equations (621) can reduce 310 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (706) ~ (all_0_19_19 = e2)
% 106.56/56.76 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (7045), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (7046) all_0_24_24 = e2
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (488,7046) yields a new equation:
% 106.56/56.76 | (525) e2 = e0
% 106.56/56.76 |
% 106.56/56.76 | Equations (525) can reduce 336 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (446) ~ (all_0_24_24 = e2)
% 106.56/56.76 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (7050), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (5199) all_0_29_29 = e2
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (3056,5199) yields a new equation:
% 106.56/56.76 | (614) e3 = e2
% 106.56/56.76 |
% 106.56/56.76 | Simplifying 614 yields:
% 106.56/56.76 | (615) e3 = e2
% 106.56/56.76 |
% 106.56/56.76 | Equations (615) can reduce 52 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (479) ~ (all_0_29_29 = e2)
% 106.56/56.76 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 +-Applying beta-rule and splitting (7056), into two cases.
% 106.56/56.76 |-Branch one:
% 106.56/56.76 | (2551) all_0_34_34 = e2
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (2551,601) yields a new equation:
% 106.56/56.76 | (798) e4 = e2
% 106.56/56.76 |
% 106.56/56.76 | Equations (798) can reduce 21 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.56/56.76 |-Branch two:
% 106.56/56.76 | (4340) ~ (all_0_34_34 = e2)
% 106.56/56.76 | (705) all_0_39_39 = e2
% 106.56/56.76 |
% 106.56/56.76 | Combining equations (705,1252) yields a new equation:
% 106.56/56.76 | (620) e2 = e1
% 106.56/56.76 |
% 106.56/56.76 | Simplifying 620 yields:
% 106.56/56.76 | (621) e2 = e1
% 106.56/56.76 |
% 106.56/56.76 | Equations (621) can reduce 310 to:
% 106.56/56.76 | (400) $false
% 106.56/56.76 |
% 106.56/56.76 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (3115) ~ (all_0_29_29 = e3)
% 106.86/56.77 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (5198), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (5199) all_0_29_29 = e2
% 106.86/56.77 |
% 106.86/56.77 | Equations (5199) can reduce 479 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (479) ~ (all_0_29_29 = e2)
% 106.86/56.77 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (5202), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (4599) all_0_29_29 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (4599) can reduce 2946 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (2946) ~ (all_0_29_29 = e1)
% 106.86/56.77 | (5206) all_0_29_29 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (5206) can reduce 493 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (817) ~ (all_0_17_17 = e1)
% 106.86/56.77 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (1085), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (1094) all_0_22_22 = e1
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (1094,442) yields a new equation:
% 106.86/56.77 | (621) e2 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (621) can reduce 310 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (1098) ~ (all_0_22_22 = e1)
% 106.86/56.77 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (1099), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (816) all_0_27_27 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (816) can reduce 857 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (857) ~ (all_0_27_27 = e1)
% 106.86/56.77 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (1105), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (1108) all_0_32_32 = e1
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (629,1108) yields a new equation:
% 106.86/56.77 | (1113) e3 = e1
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 1113 yields:
% 106.86/56.77 | (928) e3 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (928) can reduce 298 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (419) ~ (all_0_32_32 = e1)
% 106.86/56.77 | (1112) all_0_37_37 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (1112) can reduce 763 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (2612) ~ (all_0_33_33 = e0)
% 106.86/56.77 | (4345) all_0_34_34 = e0
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (601,4345) yields a new equation:
% 106.86/56.77 | (743) e4 = e0
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 743 yields:
% 106.86/56.77 | (515) e4 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (515) can reduce 267 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (1054) ~ (all_0_25_25 = e0)
% 106.86/56.77 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (2596), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (2597) all_0_33_33 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (2597) can reduce 436 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (436) ~ (all_0_33_33 = e1)
% 106.86/56.77 | (1463) all_0_33_33 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (1463) can reduce 671 to:
% 106.86/56.77 | (496) ~ (e2 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 496 yields:
% 106.86/56.77 | (336) ~ (e2 = e0)
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (1201), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (646) all_0_30_30 = e0
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (613,646) yields a new equation:
% 106.86/56.77 | (524) e2 = e0
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 524 yields:
% 106.86/56.77 | (525) e2 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (525) can reduce 336 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (650) ~ (all_0_30_30 = e0)
% 106.86/56.77 | (1139) all_0_35_35 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (1139) can reduce 536 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (617) ~ (all_0_30_30 = e2)
% 106.86/56.77 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (618), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (619) all_0_31_31 = e2
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (414,619) yields a new equation:
% 106.86/56.77 | (621) e2 = e1
% 106.86/56.77 |
% 106.86/56.77 | Equations (621) can reduce 310 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (623) ~ (all_0_31_31 = e2)
% 106.86/56.77 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (624), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (625) all_0_32_32 = e2
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (625,629) yields a new equation:
% 106.86/56.77 | (615) e3 = e2
% 106.86/56.77 |
% 106.86/56.77 | Equations (615) can reduce 52 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (448) ~ (all_0_32_32 = e2)
% 106.86/56.77 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (628), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (637) all_0_33_33 = e2
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 671 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.77 | (2551) all_0_34_34 = e2
% 106.86/56.77 |
% 106.86/56.77 | Combining equations (2551,601) yields a new equation:
% 106.86/56.77 | (798) e4 = e2
% 106.86/56.77 |
% 106.86/56.77 | Equations (798) can reduce 21 to:
% 106.86/56.77 | (400) $false
% 106.86/56.77 |
% 106.86/56.77 |-The branch is then unsatisfiable
% 106.86/56.77 |-Branch two:
% 106.86/56.77 | (637) all_0_33_33 = e2
% 106.86/56.77 | (695) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 230 to:
% 106.86/56.77 | (477) ~ (all_0_28_28 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 150 to:
% 106.86/56.77 | (617) ~ (all_0_30_30 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 199 to:
% 106.86/56.77 | (2727) ~ (all_0_38_38 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 2727 yields:
% 106.86/56.77 | (2728) ~ (all_0_38_38 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 594 to:
% 106.86/56.77 | (482) ~ (e4 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 482 yields:
% 106.86/56.77 | (21) ~ (e4 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 574 to:
% 106.86/56.77 | (643) ~ (e3 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 643 yields:
% 106.86/56.77 | (52) ~ (e3 = e2)
% 106.86/56.77 |
% 106.86/56.77 | Equations (637) can reduce 436 to:
% 106.86/56.77 | (310) ~ (e2 = e1)
% 106.86/56.77 |
% 106.86/56.77 +-Applying beta-rule and splitting (304), into two cases.
% 106.86/56.77 |-Branch one:
% 106.86/56.77 | (646) all_0_30_30 = e0
% 106.86/56.77 |
% 106.86/56.77 | Equations (646) can reduce 3 to:
% 106.86/56.77 | (739) ~ (all_0_15_15 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Equations (646) can reduce 62 to:
% 106.86/56.77 | (1054) ~ (all_0_25_25 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Equations (646) can reduce 15 to:
% 106.86/56.77 | (752) ~ (all_0_35_35 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 752 yields:
% 106.86/56.77 | (536) ~ (all_0_35_35 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Equations (646) can reduce 1800 to:
% 106.86/56.77 | (665) ~ (e3 = e0)
% 106.86/56.77 |
% 106.86/56.77 | Simplifying 665 yields:
% 106.86/56.77 | (80) ~ (e3 = e0)
% 106.86/56.77 |
% 106.86/56.78 | Equations (646) can reduce 617 to:
% 106.86/56.78 | (496) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 496 yields:
% 106.86/56.78 | (336) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Equations (646) can reduce 417 to:
% 106.86/56.78 | (498) ~ (e1 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 498 yields:
% 106.86/56.78 | (40) ~ (e1 = e0)
% 106.86/56.78 |
% 106.86/56.78 | From (646) and (165) follows:
% 106.86/56.78 | (7301) op(e1, e4) = e0
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (229), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (696) ~ (all_0_39_39 = e1)
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (300), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (697) all_0_39_39 = e4
% 106.86/56.78 |
% 106.86/56.78 | Equations (697) can reduce 607 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (607) ~ (all_0_39_39 = e4)
% 106.86/56.78 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (700), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (701) all_0_39_39 = e3
% 106.86/56.78 |
% 106.86/56.78 | Equations (701) can reduce 571 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (571) ~ (all_0_39_39 = e3)
% 106.86/56.78 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (704), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (705) all_0_39_39 = e2
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 63 to:
% 106.86/56.78 | (719) ~ (all_0_35_35 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 24 to:
% 106.86/56.78 | (450) ~ (all_0_37_37 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 231 to:
% 106.86/56.78 | (2728) ~ (all_0_38_38 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 607 to:
% 106.86/56.78 | (482) ~ (e4 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 482 yields:
% 106.86/56.78 | (21) ~ (e4 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 571 to:
% 106.86/56.78 | (643) ~ (e3 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 643 yields:
% 106.86/56.78 | (52) ~ (e3 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 696 to:
% 106.86/56.78 | (310) ~ (e2 = e1)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 542 to:
% 106.86/56.78 | (336) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (160), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (711) all_0_15_15 = e2
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 344 to:
% 106.86/56.78 | (712) ~ (all_0_17_17 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 712 yields:
% 106.86/56.78 | (396) ~ (all_0_17_17 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 319 to:
% 106.86/56.78 | (716) ~ (all_0_19_19 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 716 yields:
% 106.86/56.78 | (706) ~ (all_0_19_19 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 39 to:
% 106.86/56.78 | (718) ~ (all_0_35_35 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 718 yields:
% 106.86/56.78 | (719) ~ (all_0_35_35 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 501 to:
% 106.86/56.78 | (482) ~ (e4 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 482 yields:
% 106.86/56.78 | (21) ~ (e4 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 572 to:
% 106.86/56.78 | (643) ~ (e3 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 643 yields:
% 106.86/56.78 | (52) ~ (e3 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 739 to:
% 106.86/56.78 | (336) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (124), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (769) ~ (all_0_15_15 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 769 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (711) all_0_15_15 = e2
% 106.86/56.78 | (7336) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (280), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (637) can reduce 671 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (637) all_0_33_33 = e2
% 106.86/56.78 | (691) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (173), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (637) can reduce 671 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (637) all_0_33_33 = e2
% 106.86/56.78 | (678) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e3)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (256), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (637) can reduce 671 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (637) all_0_33_33 = e2
% 106.86/56.78 | (683) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (67), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (637) can reduce 671 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (637) all_0_33_33 = e2
% 106.86/56.78 | (674) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e0) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (154), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (671) ~ (all_0_33_33 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (637) can reduce 671 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (637) all_0_33_33 = e2
% 106.86/56.78 | (687) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (34), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (1250) ~ (all_0_39_39 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 1250 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (705) all_0_39_39 = e2
% 106.86/56.78 | (7360) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (252), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (1250) ~ (all_0_39_39 = e2)
% 106.86/56.78 |
% 106.86/56.78 | Equations (705) can reduce 1250 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (705) all_0_39_39 = e2
% 106.86/56.78 | (7364) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (327), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (1184) all_0_17_17 = e0
% 106.86/56.78 |
% 106.86/56.78 | Equations (1184) can reduce 131 to:
% 106.86/56.78 | (3657) ~ (all_0_19_19 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 3657 yields:
% 106.86/56.78 | (489) ~ (all_0_19_19 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Equations (1184) can reduce 226 to:
% 106.86/56.78 | (750) ~ (all_0_27_27 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 750 yields:
% 106.86/56.78 | (660) ~ (all_0_27_27 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Equations (1184) can reduce 282 to:
% 106.86/56.78 | (537) ~ (all_0_37_37 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 537 yields:
% 106.86/56.78 | (538) ~ (all_0_37_37 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Equations (1184) can reduce 396 to:
% 106.86/56.78 | (496) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 | Simplifying 496 yields:
% 106.86/56.78 | (336) ~ (e2 = e0)
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (305), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (969) all_0_15_15 = e1
% 106.86/56.78 |
% 106.86/56.78 | Combining equations (969,711) yields a new equation:
% 106.86/56.78 | (621) e2 = e1
% 106.86/56.78 |
% 106.86/56.78 | Equations (621) can reduce 310 to:
% 106.86/56.78 | (400) $false
% 106.86/56.78 |
% 106.86/56.78 |-The branch is then unsatisfiable
% 106.86/56.78 |-Branch two:
% 106.86/56.78 | (679) ~ (all_0_15_15 = e1)
% 106.86/56.78 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 106.86/56.78 |
% 106.86/56.78 | Equations (711) can reduce 679 to:
% 106.86/56.78 | (310) ~ (e2 = e1)
% 106.86/56.78 |
% 106.86/56.78 +-Applying beta-rule and splitting (251), into two cases.
% 106.86/56.78 |-Branch one:
% 106.86/56.78 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 106.93/56.78 |
% 106.93/56.78 +-Applying beta-rule and splitting (1278), into two cases.
% 106.93/56.78 |-Branch one:
% 106.93/56.78 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 106.93/56.78 |
% 106.93/56.78 +-Applying beta-rule and splitting (1279), into two cases.
% 106.93/56.78 |-Branch one:
% 106.93/56.78 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 106.93/56.78 |
% 106.93/56.78 +-Applying beta-rule and splitting (1280), into two cases.
% 106.93/56.78 |-Branch one:
% 106.93/56.78 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 106.93/56.78 |
% 106.93/56.78 +-Applying beta-rule and splitting (1281), into two cases.
% 106.93/56.78 |-Branch one:
% 106.93/56.78 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1282), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1283), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1284), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1285), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1286), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1287), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1288), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1289), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1290), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1291), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1292), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1293), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1294), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1295), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Applying alpha-rule on (1296) yields:
% 106.93/56.79 | (1297) all_0_15_15 = e3
% 106.93/56.79 | (550) all_0_21_21 = e4
% 106.93/56.79 | (1299) ~ (all_0_16_16 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Combining equations (1297,711) yields a new equation:
% 106.93/56.79 | (614) e3 = e2
% 106.93/56.79 |
% 106.93/56.79 | Simplifying 614 yields:
% 106.93/56.79 | (615) e3 = e2
% 106.93/56.79 |
% 106.93/56.79 | Equations (615) can reduce 52 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 106.93/56.79 |
% 106.93/56.79 | Applying alpha-rule on (1303) yields:
% 106.93/56.79 | (1297) all_0_15_15 = e3
% 106.93/56.79 | (550) all_0_21_21 = e4
% 106.93/56.79 | (1306) ~ (all_0_20_20 = e3)
% 106.93/56.79 |
% 106.93/56.79 | Combining equations (1297,711) yields a new equation:
% 106.93/56.79 | (614) e3 = e2
% 106.93/56.79 |
% 106.93/56.79 | Simplifying 614 yields:
% 106.93/56.79 | (615) e3 = e2
% 106.93/56.79 |
% 106.93/56.79 | Equations (615) can reduce 52 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Applying alpha-rule on (1310) yields:
% 106.93/56.79 | (711) all_0_15_15 = e2
% 106.93/56.79 | (804) all_0_27_27 = e4
% 106.93/56.79 | (456) ~ (all_0_17_17 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Equations (804) can reduce 122 to:
% 106.93/56.79 | (505) ~ (all_0_25_25 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Equations (804) can reduce 337 to:
% 106.93/56.79 | (999) ~ (all_0_28_28 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Simplifying 999 yields:
% 106.93/56.79 | (883) ~ (all_0_28_28 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Equations (804) can reduce 167 to:
% 106.93/56.79 | (1001) ~ (all_0_37_37 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Simplifying 1001 yields:
% 106.93/56.79 | (1002) ~ (all_0_37_37 = e4)
% 106.93/56.79 |
% 106.93/56.79 | Equations (804) can reduce 475 to:
% 106.93/56.79 | (21) ~ (e4 = e2)
% 106.93/56.79 |
% 106.93/56.79 | Equations (804) can reduce 660 to:
% 106.93/56.79 | (267) ~ (e4 = e0)
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (93), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (749) all_0_25_25 = e0
% 106.93/56.79 |
% 106.93/56.79 | Equations (749) can reduce 1054 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (1054) ~ (all_0_25_25 = e0)
% 106.93/56.79 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (5498), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (523) all_0_26_26 = e0
% 106.93/56.79 |
% 106.93/56.79 | Combining equations (471,523) yields a new equation:
% 106.93/56.79 | (524) e2 = e0
% 106.93/56.79 |
% 106.93/56.79 | Simplifying 524 yields:
% 106.93/56.79 | (525) e2 = e0
% 106.93/56.79 |
% 106.93/56.79 | Equations (525) can reduce 336 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (527) ~ (all_0_26_26 = e0)
% 106.93/56.79 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (342), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1008) all_0_18_18 = e4
% 106.93/56.79 |
% 106.93/56.79 | Equations (1008) can reduce 458 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (458) ~ (all_0_18_18 = e4)
% 106.93/56.79 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (59), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (847) all_0_37_37 = e4
% 106.93/56.79 |
% 106.93/56.79 | Equations (847) can reduce 1002 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (1002) ~ (all_0_37_37 = e4)
% 106.93/56.79 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1007), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (936) all_0_37_37 = e3
% 106.93/56.79 |
% 106.93/56.79 | Equations (936) can reduce 1127 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (1127) ~ (all_0_37_37 = e3)
% 106.93/56.79 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 106.93/56.79 |
% 106.93/56.79 +-Applying beta-rule and splitting (1128), into two cases.
% 106.93/56.79 |-Branch one:
% 106.93/56.79 | (1129) all_0_37_37 = e2
% 106.93/56.79 |
% 106.93/56.79 | Equations (1129) can reduce 450 to:
% 106.93/56.79 | (400) $false
% 106.93/56.79 |
% 106.93/56.79 |-The branch is then unsatisfiable
% 106.93/56.79 |-Branch two:
% 106.93/56.79 | (450) ~ (all_0_37_37 = e2)
% 106.93/56.80 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1132), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1112) all_0_37_37 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (1112) can reduce 309 to:
% 106.93/56.80 | (1138) ~ (all_0_35_35 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1112) can reduce 97 to:
% 106.93/56.80 | (437) ~ (all_0_38_38 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 437 yields:
% 106.93/56.80 | (438) ~ (all_0_38_38 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1112) can reduce 1002 to:
% 106.93/56.80 | (764) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 764 yields:
% 106.93/56.80 | (56) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1112) can reduce 450 to:
% 106.93/56.80 | (766) ~ (e2 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 766 yields:
% 106.93/56.80 | (310) ~ (e2 = e1)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (248), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (724) all_0_35_35 = e4
% 106.93/56.80 |
% 106.93/56.80 | Equations (724) can reduce 509 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (509) ~ (all_0_35_35 = e4)
% 106.93/56.80 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (128), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (724) all_0_35_35 = e4
% 106.93/56.80 |
% 106.93/56.80 | Equations (724) can reduce 509 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (509) ~ (all_0_35_35 = e4)
% 106.93/56.80 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1012), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1022) all_0_23_23 = e4
% 106.93/56.80 |
% 106.93/56.80 | Combining equations (1022,427) yields a new equation:
% 106.93/56.80 | (975) e4 = e1
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 975 yields:
% 106.93/56.80 | (838) e4 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (838) can reduce 56 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (1025) ~ (all_0_23_23 = e4)
% 106.93/56.80 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 106.93/56.80 |
% 106.93/56.80 | Equations (427) can reduce 1025 to:
% 106.93/56.80 | (764) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 764 yields:
% 106.93/56.80 | (56) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (973), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (974) all_0_16_16 = e1
% 106.93/56.80 |
% 106.93/56.80 | Combining equations (454,974) yields a new equation:
% 106.93/56.80 | (975) e4 = e1
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 975 yields:
% 106.93/56.80 | (838) e4 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (838) can reduce 56 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (415) ~ (all_0_16_16 = e1)
% 106.93/56.80 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (454) can reduce 415 to:
% 106.93/56.80 | (56) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1146), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1147) all_0_18_18 = e3
% 106.93/56.80 |
% 106.93/56.80 | Equations (1147) can reduce 172 to:
% 106.93/56.80 | (1149) ~ (all_0_19_19 = e3)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 1149 yields:
% 106.93/56.80 | (1150) ~ (all_0_19_19 = e3)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1147) can reduce 302 to:
% 106.93/56.80 | (7483) ~ (all_0_28_28 = e3)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 7483 yields:
% 106.93/56.80 | (893) ~ (all_0_28_28 = e3)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (333), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1846) all_0_38_38 = e4
% 106.93/56.80 |
% 106.93/56.80 | Equations (1846) can reduce 207 to:
% 106.93/56.80 | (883) ~ (all_0_28_28 = e4)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1846) can reduce 438 to:
% 106.93/56.80 | (56) ~ (e4 = e1)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (86), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (854) all_0_28_28 = e4
% 106.93/56.80 |
% 106.93/56.80 | Equations (854) can reduce 883 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (883) ~ (all_0_28_28 = e4)
% 106.93/56.80 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (727), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (728) all_0_35_35 = e3
% 106.93/56.80 |
% 106.93/56.80 | Equations (728) can reduce 1138 to:
% 106.93/56.80 | (298) ~ (e3 = e1)
% 106.93/56.80 |
% 106.93/56.80 | From (728) and (89) follows:
% 106.93/56.80 | (7494) op(e0, e4) = e3
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1021), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1106) all_0_28_28 = e3
% 106.93/56.80 |
% 106.93/56.80 | Equations (1106) can reduce 893 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (893) ~ (all_0_28_28 = e3)
% 106.93/56.80 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1117), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1118) all_0_28_28 = e2
% 106.93/56.80 |
% 106.93/56.80 | Equations (1118) can reduce 477 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (477) ~ (all_0_28_28 = e2)
% 106.93/56.80 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (36), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (769) ~ (all_0_15_15 = e2)
% 106.93/56.80 |
% 106.93/56.80 | Equations (711) can reduce 769 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (711) all_0_15_15 = e2
% 106.93/56.80 | (772) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1121), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1122) all_0_28_28 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (1122) can reduce 434 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (434) ~ (all_0_28_28 = e1)
% 106.93/56.80 | (1125) all_0_28_28 = e0
% 106.93/56.80 |
% 106.93/56.80 | Equations (1125) can reduce 434 to:
% 106.93/56.80 | (498) ~ (e1 = e0)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 498 yields:
% 106.93/56.80 | (40) ~ (e1 = e0)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (979), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (980) all_0_17_17 = e1
% 106.93/56.80 |
% 106.93/56.80 | Combining equations (980,1184) yields a new equation:
% 106.93/56.80 | (530) e1 = e0
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 530 yields:
% 106.93/56.80 | (531) e1 = e0
% 106.93/56.80 |
% 106.93/56.80 | Equations (531) can reduce 40 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (817) ~ (all_0_17_17 = e1)
% 106.93/56.80 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (1184) can reduce 817 to:
% 106.93/56.80 | (498) ~ (e1 = e0)
% 106.93/56.80 |
% 106.93/56.80 | Simplifying 498 yields:
% 106.93/56.80 | (40) ~ (e1 = e0)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (772), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (7521) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (7521), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 106.93/56.80 |
% 106.93/56.80 | Applying alpha-rule on (1037) yields:
% 106.93/56.80 | (1032) all_0_13_13 = all_0_17_17
% 106.93/56.80 | (1039) ~ (all_0_12_12 = e3)
% 106.93/56.80 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 106.93/56.80 |
% 106.93/56.80 | From (1184) and (1034) follows:
% 106.93/56.80 | (1789) op(e0, e4) = all_0_12_12
% 106.93/56.80 |
% 106.93/56.80 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 106.93/56.80 | (1044) all_0_12_12 = e3
% 106.93/56.80 |
% 106.93/56.80 | Equations (1044) can reduce 1039 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (7529) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 106.93/56.80 |
% 106.93/56.80 | Applying alpha-rule on (7529) yields:
% 106.93/56.80 | (1032) all_0_13_13 = all_0_17_17
% 106.93/56.80 | (659) ~ (all_0_17_17 = e0)
% 106.93/56.80 |
% 106.93/56.80 | Equations (1184) can reduce 659 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (7533) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1)
% 106.93/56.80 |
% 106.93/56.80 | Applying alpha-rule on (7533) yields:
% 106.93/56.80 | (1053) all_0_14_14 = all_0_25_25
% 106.93/56.80 | (1519) ~ (all_0_25_25 = e1)
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (114), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (969) all_0_15_15 = e1
% 106.93/56.80 |
% 106.93/56.80 | Combining equations (969,711) yields a new equation:
% 106.93/56.80 | (621) e2 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (621) can reduce 310 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (679) ~ (all_0_15_15 = e1)
% 106.93/56.80 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (1402), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1490) all_0_20_20 = e1
% 106.93/56.80 |
% 106.93/56.80 | Combining equations (1490,500) yields a new equation:
% 106.93/56.80 | (838) e4 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (838) can reduce 56 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (429) ~ (all_0_20_20 = e1)
% 106.93/56.80 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 106.93/56.80 |
% 106.93/56.80 +-Applying beta-rule and splitting (43), into two cases.
% 106.93/56.80 |-Branch one:
% 106.93/56.80 | (1495) all_0_25_25 = e1
% 106.93/56.80 |
% 106.93/56.80 | Equations (1495) can reduce 1519 to:
% 106.93/56.80 | (400) $false
% 106.93/56.80 |
% 106.93/56.80 |-The branch is then unsatisfiable
% 106.93/56.80 |-Branch two:
% 106.93/56.80 | (1519) ~ (all_0_25_25 = e1)
% 106.93/56.81 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1494), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1495) all_0_25_25 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (1495) can reduce 1519 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1519) ~ (all_0_25_25 = e1)
% 106.93/56.81 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1520), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1521) all_0_30_30 = e1
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (646,1521) yields a new equation:
% 106.93/56.81 | (531) e1 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (531) can reduce 40 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (417) ~ (all_0_30_30 = e1)
% 106.93/56.81 | (761) all_0_35_35 = e1
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (728,761) yields a new equation:
% 106.93/56.81 | (1113) e3 = e1
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 1113 yields:
% 106.93/56.81 | (928) e3 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (928) can reduce 298 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (585) ~ (all_0_35_35 = e3)
% 106.93/56.81 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (731), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (732) all_0_35_35 = e2
% 106.93/56.81 |
% 106.93/56.81 | Equations (732) can reduce 719 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (719) ~ (all_0_35_35 = e2)
% 106.93/56.81 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (735), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (761) all_0_35_35 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (761) can reduce 1138 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1138) ~ (all_0_35_35 = e1)
% 106.93/56.81 | (1139) all_0_35_35 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (1139) can reduce 536 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1835) ~ (all_0_38_38 = e4)
% 106.93/56.81 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (332), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1151) all_0_19_19 = e4
% 106.93/56.81 |
% 106.93/56.81 | Equations (1151) can reduce 460 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (460) ~ (all_0_19_19 = e4)
% 106.93/56.81 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (5504), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (995) all_0_27_27 = e0
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (804,995) yields a new equation:
% 106.93/56.81 | (743) e4 = e0
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 743 yields:
% 106.93/56.81 | (515) e4 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (515) can reduce 267 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (660) ~ (all_0_27_27 = e0)
% 106.93/56.81 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1154), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1159) all_0_19_19 = e3
% 106.93/56.81 |
% 106.93/56.81 | Equations (1159) can reduce 1150 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1150) ~ (all_0_19_19 = e3)
% 106.93/56.81 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1162), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1163) all_0_19_19 = e2
% 106.93/56.81 |
% 106.93/56.81 | Equations (1163) can reduce 706 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (706) ~ (all_0_19_19 = e2)
% 106.93/56.81 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1166), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (829) all_0_19_19 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (829) can reduce 174 to:
% 106.93/56.81 | (5048) ~ (all_0_29_29 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 5048 yields:
% 106.93/56.81 | (2946) ~ (all_0_29_29 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Equations (829) can reduce 460 to:
% 106.93/56.81 | (764) ~ (e4 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 764 yields:
% 106.93/56.81 | (56) ~ (e4 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Equations (829) can reduce 706 to:
% 106.93/56.81 | (766) ~ (e2 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 766 yields:
% 106.93/56.81 | (310) ~ (e2 = e1)
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (43), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1495) all_0_25_25 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (1495) can reduce 505 to:
% 106.93/56.81 | (764) ~ (e4 = e1)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 764 yields:
% 106.93/56.81 | (56) ~ (e4 = e1)
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (86), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (854) all_0_28_28 = e4
% 106.93/56.81 |
% 106.93/56.81 | Equations (854) can reduce 883 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (883) ~ (all_0_28_28 = e4)
% 106.93/56.81 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (5510), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1125) all_0_28_28 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (1125) can reduce 883 to:
% 106.93/56.81 | (543) ~ (e4 = e0)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 543 yields:
% 106.93/56.81 | (267) ~ (e4 = e0)
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1026), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (854) all_0_28_28 = e4
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (1125,854) yields a new equation:
% 106.93/56.81 | (515) e4 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (515) can reduce 267 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (883) ~ (all_0_28_28 = e4)
% 106.93/56.81 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 106.93/56.81 |
% 106.93/56.81 | Equations (1125) can reduce 883 to:
% 106.93/56.81 | (543) ~ (e4 = e0)
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 543 yields:
% 106.93/56.81 | (267) ~ (e4 = e0)
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (1091), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (2975) all_0_36_36 = e4
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (2975,534) yields a new equation:
% 106.93/56.81 | (743) e4 = e0
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 743 yields:
% 106.93/56.81 | (515) e4 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (515) can reduce 267 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (466) ~ (all_0_36_36 = e4)
% 106.93/56.81 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (2979), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (847) all_0_37_37 = e4
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (847,1112) yields a new equation:
% 106.93/56.81 | (975) e4 = e1
% 106.93/56.81 |
% 106.93/56.81 | Simplifying 975 yields:
% 106.93/56.81 | (838) e4 = e1
% 106.93/56.81 |
% 106.93/56.81 | Equations (838) can reduce 56 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1002) ~ (all_0_37_37 = e4)
% 106.93/56.81 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (2983), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (1846) all_0_38_38 = e4
% 106.93/56.81 |
% 106.93/56.81 | Equations (1846) can reduce 1835 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1835) ~ (all_0_38_38 = e4)
% 106.93/56.81 | (697) all_0_39_39 = e4
% 106.93/56.81 |
% 106.93/56.81 | Combining equations (705,697) yields a new equation:
% 106.93/56.81 | (798) e4 = e2
% 106.93/56.81 |
% 106.93/56.81 | Equations (798) can reduce 21 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (758) ~ (all_0_28_28 = e0)
% 106.93/56.81 | (5206) all_0_29_29 = e0
% 106.93/56.81 |
% 106.93/56.81 | Equations (5206) can reduce 493 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (1519) ~ (all_0_25_25 = e1)
% 106.93/56.81 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 106.93/56.81 |
% 106.93/56.81 +-Applying beta-rule and splitting (95), into two cases.
% 106.93/56.81 |-Branch one:
% 106.93/56.81 | (785) ~ (all_0_27_27 = e4)
% 106.93/56.81 |
% 106.93/56.81 | Equations (804) can reduce 785 to:
% 106.93/56.81 | (400) $false
% 106.93/56.81 |
% 106.93/56.81 |-The branch is then unsatisfiable
% 106.93/56.81 |-Branch two:
% 106.93/56.81 | (804) all_0_27_27 = e4
% 107.06/56.82 | (7643) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (4556), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (4559) all_0_26_26 = e1
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (471,4559) yields a new equation:
% 107.06/56.82 | (620) e2 = e1
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 620 yields:
% 107.06/56.82 | (621) e2 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (621) can reduce 310 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (416) ~ (all_0_26_26 = e1)
% 107.06/56.82 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (4563), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (816) all_0_27_27 = e1
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (804,816) yields a new equation:
% 107.06/56.82 | (975) e4 = e1
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 975 yields:
% 107.06/56.82 | (838) e4 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (838) can reduce 56 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (857) ~ (all_0_27_27 = e1)
% 107.06/56.82 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (4568), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1122) all_0_28_28 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (1122) can reduce 434 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (434) ~ (all_0_28_28 = e1)
% 107.06/56.82 | (4599) all_0_29_29 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (4599) can reduce 2946 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (943) ~ (all_0_19_19 = e1)
% 107.06/56.82 | (1187) all_0_19_19 = e0
% 107.06/56.82 |
% 107.06/56.82 | Equations (1187) can reduce 489 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (1189) ~ (all_0_18_18 = e3)
% 107.06/56.82 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (198), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1297) all_0_15_15 = e3
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (1297,711) yields a new equation:
% 107.06/56.82 | (614) e3 = e2
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 614 yields:
% 107.06/56.82 | (615) e3 = e2
% 107.06/56.82 |
% 107.06/56.82 | Equations (615) can reduce 52 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (572) ~ (all_0_15_15 = e3)
% 107.06/56.82 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (114), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (969) all_0_15_15 = e1
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (969,711) yields a new equation:
% 107.06/56.82 | (621) e2 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (621) can reduce 310 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (679) ~ (all_0_15_15 = e1)
% 107.06/56.82 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (1402), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1490) all_0_20_20 = e1
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (1490,500) yields a new equation:
% 107.06/56.82 | (838) e4 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (838) can reduce 56 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (429) ~ (all_0_20_20 = e1)
% 107.06/56.82 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (500) can reduce 429 to:
% 107.06/56.82 | (56) ~ (e4 = e1)
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (22), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (785) ~ (all_0_27_27 = e4)
% 107.06/56.82 |
% 107.06/56.82 | Equations (804) can reduce 785 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (804) all_0_27_27 = e4
% 107.06/56.82 | (7686) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (1091), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (2975) all_0_36_36 = e4
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (534,2975) yields a new equation:
% 107.06/56.82 | (515) e4 = e0
% 107.06/56.82 |
% 107.06/56.82 | Equations (515) can reduce 267 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (466) ~ (all_0_36_36 = e4)
% 107.06/56.82 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.06/56.82 |
% 107.06/56.82 | Equations (534) can reduce 466 to:
% 107.06/56.82 | (543) ~ (e4 = e0)
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 543 yields:
% 107.06/56.82 | (267) ~ (e4 = e0)
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (5504), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (995) all_0_27_27 = e0
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (804,995) yields a new equation:
% 107.06/56.82 | (743) e4 = e0
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 743 yields:
% 107.06/56.82 | (515) e4 = e0
% 107.06/56.82 |
% 107.06/56.82 | Equations (515) can reduce 267 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (660) ~ (all_0_27_27 = e0)
% 107.06/56.82 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (5510), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1125) all_0_28_28 = e0
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (727), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (728) all_0_35_35 = e3
% 107.06/56.82 |
% 107.06/56.82 | Equations (728) can reduce 210 to:
% 107.06/56.82 | (3094) ~ (all_0_38_38 = e3)
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 3094 yields:
% 107.06/56.82 | (3095) ~ (all_0_38_38 = e3)
% 107.06/56.82 |
% 107.06/56.82 | Equations (728) can reduce 509 to:
% 107.06/56.82 | (558) ~ (e4 = e3)
% 107.06/56.82 |
% 107.06/56.82 | Simplifying 558 yields:
% 107.06/56.82 | (255) ~ (e4 = e3)
% 107.06/56.82 |
% 107.06/56.82 | Equations (728) can reduce 719 to:
% 107.06/56.82 | (52) ~ (e3 = e2)
% 107.06/56.82 |
% 107.06/56.82 | Equations (728) can reduce 1138 to:
% 107.06/56.82 | (298) ~ (e3 = e1)
% 107.06/56.82 |
% 107.06/56.82 | Equations (728) can reduce 536 to:
% 107.06/56.82 | (80) ~ (e3 = e0)
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (2769), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (3117) all_0_16_16 = e3
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (3117,454) yields a new equation:
% 107.06/56.82 | (597) e4 = e3
% 107.06/56.82 |
% 107.06/56.82 | Equations (597) can reduce 255 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (3121) ~ (all_0_16_16 = e3)
% 107.06/56.82 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (2979), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (847) all_0_37_37 = e4
% 107.06/56.82 |
% 107.06/56.82 | Combining equations (1112,847) yields a new equation:
% 107.06/56.82 | (838) e4 = e1
% 107.06/56.82 |
% 107.06/56.82 | Equations (838) can reduce 56 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (1002) ~ (all_0_37_37 = e4)
% 107.06/56.82 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (2983), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1846) all_0_38_38 = e4
% 107.06/56.82 |
% 107.06/56.82 | Equations (1846) can reduce 3095 to:
% 107.06/56.82 | (255) ~ (e4 = e3)
% 107.06/56.82 |
% 107.06/56.82 +-Applying beta-rule and splitting (102), into two cases.
% 107.06/56.82 |-Branch one:
% 107.06/56.82 | (1147) all_0_18_18 = e3
% 107.06/56.82 |
% 107.06/56.82 | Equations (1147) can reduce 1189 to:
% 107.06/56.82 | (400) $false
% 107.06/56.82 |
% 107.06/56.82 |-The branch is then unsatisfiable
% 107.06/56.82 |-Branch two:
% 107.06/56.82 | (1189) ~ (all_0_18_18 = e3)
% 107.06/56.83 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.06/56.83 |
% 107.06/56.83 +-Applying beta-rule and splitting (3122), into two cases.
% 107.06/56.83 |-Branch one:
% 107.06/56.83 | (855) all_0_17_17 = e3
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (855,1184) yields a new equation:
% 107.06/56.83 | (647) e3 = e0
% 107.06/56.83 |
% 107.06/56.83 | Simplifying 647 yields:
% 107.06/56.83 | (648) e3 = e0
% 107.06/56.83 |
% 107.06/56.83 | Equations (648) can reduce 80 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.06/56.83 |-Branch two:
% 107.06/56.83 | (919) ~ (all_0_17_17 = e3)
% 107.06/56.83 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 107.06/56.83 |
% 107.06/56.83 | Equations (1184) can reduce 919 to:
% 107.06/56.83 | (665) ~ (e3 = e0)
% 107.06/56.83 |
% 107.06/56.83 | Simplifying 665 yields:
% 107.06/56.83 | (80) ~ (e3 = e0)
% 107.06/56.83 |
% 107.06/56.83 +-Applying beta-rule and splitting (1742), into two cases.
% 107.06/56.83 |-Branch one:
% 107.06/56.83 | (3107) all_0_23_23 = e3
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (3107,427) yields a new equation:
% 107.06/56.83 | (1113) e3 = e1
% 107.06/56.83 |
% 107.06/56.83 | Simplifying 1113 yields:
% 107.06/56.83 | (928) e3 = e1
% 107.06/56.83 |
% 107.06/56.83 | Equations (928) can reduce 298 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.06/56.83 |-Branch two:
% 107.06/56.83 | (1361) ~ (all_0_23_23 = e3)
% 107.06/56.83 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.06/56.83 |
% 107.06/56.83 +-Applying beta-rule and splitting (3112), into two cases.
% 107.06/56.83 |-Branch one:
% 107.06/56.83 | (1106) all_0_28_28 = e3
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (1125,1106) yields a new equation:
% 107.06/56.83 | (648) e3 = e0
% 107.06/56.83 |
% 107.06/56.83 | Equations (648) can reduce 80 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.06/56.83 |-Branch two:
% 107.06/56.83 | (893) ~ (all_0_28_28 = e3)
% 107.06/56.83 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 107.06/56.83 |
% 107.06/56.83 +-Applying beta-rule and splitting (3201), into two cases.
% 107.06/56.83 |-Branch one:
% 107.06/56.83 | (1360) all_0_33_33 = e3
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (637,1360) yields a new equation:
% 107.06/56.83 | (615) e3 = e2
% 107.06/56.83 |
% 107.06/56.83 | Equations (615) can reduce 52 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.06/56.83 |-Branch two:
% 107.06/56.83 | (574) ~ (all_0_33_33 = e3)
% 107.06/56.83 | (3208) all_0_38_38 = e3
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (1846,3208) yields a new equation:
% 107.06/56.83 | (596) e4 = e3
% 107.06/56.83 |
% 107.06/56.83 | Simplifying 596 yields:
% 107.06/56.83 | (597) e4 = e3
% 107.06/56.83 |
% 107.06/56.83 | Equations (597) can reduce 255 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.06/56.83 |-Branch two:
% 107.06/56.83 | (1835) ~ (all_0_38_38 = e4)
% 107.06/56.83 | (697) all_0_39_39 = e4
% 107.06/56.83 |
% 107.06/56.83 | Combining equations (697,705) yields a new equation:
% 107.06/56.83 | (1531) e4 = e2
% 107.06/56.83 |
% 107.06/56.83 | Simplifying 1531 yields:
% 107.06/56.83 | (798) e4 = e2
% 107.06/56.83 |
% 107.06/56.83 | Equations (798) can reduce 21 to:
% 107.06/56.83 | (400) $false
% 107.06/56.83 |
% 107.06/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (585) ~ (all_0_35_35 = e3)
% 107.11/56.83 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (731), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (732) all_0_35_35 = e2
% 107.11/56.83 |
% 107.11/56.83 | Equations (732) can reduce 719 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (719) ~ (all_0_35_35 = e2)
% 107.11/56.83 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (735), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (761) all_0_35_35 = e1
% 107.11/56.83 |
% 107.11/56.83 | Equations (761) can reduce 1138 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (1138) ~ (all_0_35_35 = e1)
% 107.11/56.83 | (1139) all_0_35_35 = e0
% 107.11/56.83 |
% 107.11/56.83 | Equations (1139) can reduce 536 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (758) ~ (all_0_28_28 = e0)
% 107.11/56.83 | (5206) all_0_29_29 = e0
% 107.11/56.83 |
% 107.11/56.83 | Equations (5206) can reduce 493 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (763) ~ (all_0_37_37 = e1)
% 107.11/56.83 | (1136) all_0_37_37 = e0
% 107.11/56.83 |
% 107.11/56.83 | Equations (1136) can reduce 538 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 107.11/56.83 |
% 107.11/56.83 | Applying alpha-rule on (1315) yields:
% 107.11/56.83 | (711) all_0_15_15 = e2
% 107.11/56.83 | (804) all_0_27_27 = e4
% 107.11/56.83 | (473) ~ (all_0_25_25 = e2)
% 107.11/56.83 |
% 107.11/56.83 | Equations (804) can reduce 122 to:
% 107.11/56.83 | (505) ~ (all_0_25_25 = e4)
% 107.11/56.83 |
% 107.11/56.83 | Equations (804) can reduce 337 to:
% 107.11/56.83 | (999) ~ (all_0_28_28 = e4)
% 107.11/56.83 |
% 107.11/56.83 | Simplifying 999 yields:
% 107.11/56.83 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.83 |
% 107.11/56.83 | Equations (804) can reduce 167 to:
% 107.11/56.83 | (1001) ~ (all_0_37_37 = e4)
% 107.11/56.83 |
% 107.11/56.83 | Simplifying 1001 yields:
% 107.11/56.83 | (1002) ~ (all_0_37_37 = e4)
% 107.11/56.83 |
% 107.11/56.83 | Equations (804) can reduce 475 to:
% 107.11/56.83 | (21) ~ (e4 = e2)
% 107.11/56.83 |
% 107.11/56.83 | Equations (804) can reduce 660 to:
% 107.11/56.83 | (267) ~ (e4 = e0)
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (93), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (749) all_0_25_25 = e0
% 107.11/56.83 |
% 107.11/56.83 | Equations (749) can reduce 1054 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (1054) ~ (all_0_25_25 = e0)
% 107.11/56.83 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (5498), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (523) all_0_26_26 = e0
% 107.11/56.83 |
% 107.11/56.83 | Combining equations (471,523) yields a new equation:
% 107.11/56.83 | (524) e2 = e0
% 107.11/56.83 |
% 107.11/56.83 | Simplifying 524 yields:
% 107.11/56.83 | (525) e2 = e0
% 107.11/56.83 |
% 107.11/56.83 | Equations (525) can reduce 336 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (527) ~ (all_0_26_26 = e0)
% 107.11/56.83 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (342), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (1008) all_0_18_18 = e4
% 107.11/56.83 |
% 107.11/56.83 | Equations (1008) can reduce 458 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (458) ~ (all_0_18_18 = e4)
% 107.11/56.83 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (59), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (847) all_0_37_37 = e4
% 107.11/56.83 |
% 107.11/56.83 | Equations (847) can reduce 1002 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (1002) ~ (all_0_37_37 = e4)
% 107.11/56.83 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (1007), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (936) all_0_37_37 = e3
% 107.11/56.83 |
% 107.11/56.83 | Equations (936) can reduce 1127 to:
% 107.11/56.83 | (400) $false
% 107.11/56.83 |
% 107.11/56.83 |-The branch is then unsatisfiable
% 107.11/56.83 |-Branch two:
% 107.11/56.83 | (1127) ~ (all_0_37_37 = e3)
% 107.11/56.83 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 107.11/56.83 |
% 107.11/56.83 +-Applying beta-rule and splitting (1128), into two cases.
% 107.11/56.83 |-Branch one:
% 107.11/56.83 | (1129) all_0_37_37 = e2
% 107.11/56.84 |
% 107.11/56.84 | Equations (1129) can reduce 450 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (450) ~ (all_0_37_37 = e2)
% 107.11/56.84 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1132), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1112) all_0_37_37 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (1112) can reduce 309 to:
% 107.11/56.84 | (1138) ~ (all_0_35_35 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1112) can reduce 97 to:
% 107.11/56.84 | (437) ~ (all_0_38_38 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 437 yields:
% 107.11/56.84 | (438) ~ (all_0_38_38 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1112) can reduce 1002 to:
% 107.11/56.84 | (764) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 764 yields:
% 107.11/56.84 | (56) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1112) can reduce 450 to:
% 107.11/56.84 | (766) ~ (e2 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 766 yields:
% 107.11/56.84 | (310) ~ (e2 = e1)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (248), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (724) all_0_35_35 = e4
% 107.11/56.84 |
% 107.11/56.84 | Equations (724) can reduce 509 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (509) ~ (all_0_35_35 = e4)
% 107.11/56.84 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (128), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (724) all_0_35_35 = e4
% 107.11/56.84 |
% 107.11/56.84 | Equations (724) can reduce 509 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (509) ~ (all_0_35_35 = e4)
% 107.11/56.84 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1012), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1022) all_0_23_23 = e4
% 107.11/56.84 |
% 107.11/56.84 | Combining equations (1022,427) yields a new equation:
% 107.11/56.84 | (975) e4 = e1
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 975 yields:
% 107.11/56.84 | (838) e4 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (838) can reduce 56 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (1025) ~ (all_0_23_23 = e4)
% 107.11/56.84 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 107.11/56.84 |
% 107.11/56.84 | Equations (427) can reduce 1025 to:
% 107.11/56.84 | (764) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 764 yields:
% 107.11/56.84 | (56) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (973), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (974) all_0_16_16 = e1
% 107.11/56.84 |
% 107.11/56.84 | Combining equations (454,974) yields a new equation:
% 107.11/56.84 | (975) e4 = e1
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 975 yields:
% 107.11/56.84 | (838) e4 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (838) can reduce 56 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (415) ~ (all_0_16_16 = e1)
% 107.11/56.84 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (454) can reduce 415 to:
% 107.11/56.84 | (56) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1146), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1147) all_0_18_18 = e3
% 107.11/56.84 |
% 107.11/56.84 | Equations (1147) can reduce 172 to:
% 107.11/56.84 | (1149) ~ (all_0_19_19 = e3)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 1149 yields:
% 107.11/56.84 | (1150) ~ (all_0_19_19 = e3)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1147) can reduce 302 to:
% 107.11/56.84 | (7483) ~ (all_0_28_28 = e3)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 7483 yields:
% 107.11/56.84 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (333), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1846) all_0_38_38 = e4
% 107.11/56.84 |
% 107.11/56.84 | Equations (1846) can reduce 207 to:
% 107.11/56.84 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1846) can reduce 438 to:
% 107.11/56.84 | (56) ~ (e4 = e1)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (86), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (854) all_0_28_28 = e4
% 107.11/56.84 |
% 107.11/56.84 | Equations (854) can reduce 883 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.84 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (727), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (728) all_0_35_35 = e3
% 107.11/56.84 |
% 107.11/56.84 | Equations (728) can reduce 1138 to:
% 107.11/56.84 | (298) ~ (e3 = e1)
% 107.11/56.84 |
% 107.11/56.84 | From (728) and (89) follows:
% 107.11/56.84 | (7494) op(e0, e4) = e3
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1021), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1106) all_0_28_28 = e3
% 107.11/56.84 |
% 107.11/56.84 | Equations (1106) can reduce 893 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.84 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1117), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1118) all_0_28_28 = e2
% 107.11/56.84 |
% 107.11/56.84 | Equations (1118) can reduce 477 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (477) ~ (all_0_28_28 = e2)
% 107.11/56.84 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (36), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (769) ~ (all_0_15_15 = e2)
% 107.11/56.84 |
% 107.11/56.84 | Equations (711) can reduce 769 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (711) all_0_15_15 = e2
% 107.11/56.84 | (772) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1121), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1122) all_0_28_28 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (1122) can reduce 434 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (434) ~ (all_0_28_28 = e1)
% 107.11/56.84 | (1125) all_0_28_28 = e0
% 107.11/56.84 |
% 107.11/56.84 | Equations (1125) can reduce 434 to:
% 107.11/56.84 | (498) ~ (e1 = e0)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 498 yields:
% 107.11/56.84 | (40) ~ (e1 = e0)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (979), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (980) all_0_17_17 = e1
% 107.11/56.84 |
% 107.11/56.84 | Combining equations (980,1184) yields a new equation:
% 107.11/56.84 | (530) e1 = e0
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 530 yields:
% 107.11/56.84 | (531) e1 = e0
% 107.11/56.84 |
% 107.11/56.84 | Equations (531) can reduce 40 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (817) ~ (all_0_17_17 = e1)
% 107.11/56.84 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (1184) can reduce 817 to:
% 107.11/56.84 | (498) ~ (e1 = e0)
% 107.11/56.84 |
% 107.11/56.84 | Simplifying 498 yields:
% 107.11/56.84 | (40) ~ (e1 = e0)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (772), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (7521) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (7521), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 107.11/56.84 |
% 107.11/56.84 | Applying alpha-rule on (1037) yields:
% 107.11/56.84 | (1032) all_0_13_13 = all_0_17_17
% 107.11/56.84 | (1039) ~ (all_0_12_12 = e3)
% 107.11/56.84 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 107.11/56.84 |
% 107.11/56.84 | From (1184) and (1034) follows:
% 107.11/56.84 | (1789) op(e0, e4) = all_0_12_12
% 107.11/56.84 |
% 107.11/56.84 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 107.11/56.84 | (1044) all_0_12_12 = e3
% 107.11/56.84 |
% 107.11/56.84 | Equations (1044) can reduce 1039 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (7529) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 107.11/56.84 |
% 107.11/56.84 | Applying alpha-rule on (7529) yields:
% 107.11/56.84 | (1032) all_0_13_13 = all_0_17_17
% 107.11/56.84 | (659) ~ (all_0_17_17 = e0)
% 107.11/56.84 |
% 107.11/56.84 | Equations (1184) can reduce 659 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (7533) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1)
% 107.11/56.84 |
% 107.11/56.84 | Applying alpha-rule on (7533) yields:
% 107.11/56.84 | (1053) all_0_14_14 = all_0_25_25
% 107.11/56.84 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (114), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (969) all_0_15_15 = e1
% 107.11/56.84 |
% 107.11/56.84 | Combining equations (969,711) yields a new equation:
% 107.11/56.84 | (621) e2 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (621) can reduce 310 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (679) ~ (all_0_15_15 = e1)
% 107.11/56.84 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.11/56.84 |
% 107.11/56.84 +-Applying beta-rule and splitting (1402), into two cases.
% 107.11/56.84 |-Branch one:
% 107.11/56.84 | (1490) all_0_20_20 = e1
% 107.11/56.84 |
% 107.11/56.84 | Combining equations (1490,500) yields a new equation:
% 107.11/56.84 | (838) e4 = e1
% 107.11/56.84 |
% 107.11/56.84 | Equations (838) can reduce 56 to:
% 107.11/56.84 | (400) $false
% 107.11/56.84 |
% 107.11/56.84 |-The branch is then unsatisfiable
% 107.11/56.84 |-Branch two:
% 107.11/56.84 | (429) ~ (all_0_20_20 = e1)
% 107.11/56.84 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (43), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1495) all_0_25_25 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (1495) can reduce 1519 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.85 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1494), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1495) all_0_25_25 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (1495) can reduce 1519 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.85 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1520), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1521) all_0_30_30 = e1
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (646,1521) yields a new equation:
% 107.11/56.85 | (531) e1 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (531) can reduce 40 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (417) ~ (all_0_30_30 = e1)
% 107.11/56.85 | (761) all_0_35_35 = e1
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (728,761) yields a new equation:
% 107.11/56.85 | (1113) e3 = e1
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 1113 yields:
% 107.11/56.85 | (928) e3 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (928) can reduce 298 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (585) ~ (all_0_35_35 = e3)
% 107.11/56.85 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (731), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (732) all_0_35_35 = e2
% 107.11/56.85 |
% 107.11/56.85 | Equations (732) can reduce 719 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (719) ~ (all_0_35_35 = e2)
% 107.11/56.85 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (735), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (761) all_0_35_35 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (761) can reduce 1138 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1138) ~ (all_0_35_35 = e1)
% 107.11/56.85 | (1139) all_0_35_35 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (1139) can reduce 536 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1835) ~ (all_0_38_38 = e4)
% 107.11/56.85 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (332), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1151) all_0_19_19 = e4
% 107.11/56.85 |
% 107.11/56.85 | Equations (1151) can reduce 460 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (460) ~ (all_0_19_19 = e4)
% 107.11/56.85 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (5504), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (995) all_0_27_27 = e0
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (804,995) yields a new equation:
% 107.11/56.85 | (743) e4 = e0
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 743 yields:
% 107.11/56.85 | (515) e4 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (515) can reduce 267 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (660) ~ (all_0_27_27 = e0)
% 107.11/56.85 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1154), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1159) all_0_19_19 = e3
% 107.11/56.85 |
% 107.11/56.85 | Equations (1159) can reduce 1150 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1150) ~ (all_0_19_19 = e3)
% 107.11/56.85 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1162), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1163) all_0_19_19 = e2
% 107.11/56.85 |
% 107.11/56.85 | Equations (1163) can reduce 706 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (706) ~ (all_0_19_19 = e2)
% 107.11/56.85 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1166), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (829) all_0_19_19 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (829) can reduce 174 to:
% 107.11/56.85 | (5048) ~ (all_0_29_29 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 5048 yields:
% 107.11/56.85 | (2946) ~ (all_0_29_29 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Equations (829) can reduce 460 to:
% 107.11/56.85 | (764) ~ (e4 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 764 yields:
% 107.11/56.85 | (56) ~ (e4 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Equations (829) can reduce 706 to:
% 107.11/56.85 | (766) ~ (e2 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 766 yields:
% 107.11/56.85 | (310) ~ (e2 = e1)
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (43), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1495) all_0_25_25 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (1495) can reduce 505 to:
% 107.11/56.85 | (764) ~ (e4 = e1)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 764 yields:
% 107.11/56.85 | (56) ~ (e4 = e1)
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (86), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (854) all_0_28_28 = e4
% 107.11/56.85 |
% 107.11/56.85 | Equations (854) can reduce 883 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.85 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (5510), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1125) all_0_28_28 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (1125) can reduce 883 to:
% 107.11/56.85 | (543) ~ (e4 = e0)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 543 yields:
% 107.11/56.85 | (267) ~ (e4 = e0)
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1026), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (854) all_0_28_28 = e4
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (1125,854) yields a new equation:
% 107.11/56.85 | (515) e4 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (515) can reduce 267 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.85 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 107.11/56.85 |
% 107.11/56.85 | Equations (1125) can reduce 883 to:
% 107.11/56.85 | (543) ~ (e4 = e0)
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 543 yields:
% 107.11/56.85 | (267) ~ (e4 = e0)
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (1091), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (2975) all_0_36_36 = e4
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (2975,534) yields a new equation:
% 107.11/56.85 | (743) e4 = e0
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 743 yields:
% 107.11/56.85 | (515) e4 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (515) can reduce 267 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (466) ~ (all_0_36_36 = e4)
% 107.11/56.85 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (2979), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (847) all_0_37_37 = e4
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (847,1112) yields a new equation:
% 107.11/56.85 | (975) e4 = e1
% 107.11/56.85 |
% 107.11/56.85 | Simplifying 975 yields:
% 107.11/56.85 | (838) e4 = e1
% 107.11/56.85 |
% 107.11/56.85 | Equations (838) can reduce 56 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1002) ~ (all_0_37_37 = e4)
% 107.11/56.85 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (2983), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (1846) all_0_38_38 = e4
% 107.11/56.85 |
% 107.11/56.85 | Equations (1846) can reduce 1835 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1835) ~ (all_0_38_38 = e4)
% 107.11/56.85 | (697) all_0_39_39 = e4
% 107.11/56.85 |
% 107.11/56.85 | Combining equations (705,697) yields a new equation:
% 107.11/56.85 | (798) e4 = e2
% 107.11/56.85 |
% 107.11/56.85 | Equations (798) can reduce 21 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (758) ~ (all_0_28_28 = e0)
% 107.11/56.85 | (5206) all_0_29_29 = e0
% 107.11/56.85 |
% 107.11/56.85 | Equations (5206) can reduce 493 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.85 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.85 |
% 107.11/56.85 +-Applying beta-rule and splitting (95), into two cases.
% 107.11/56.85 |-Branch one:
% 107.11/56.85 | (785) ~ (all_0_27_27 = e4)
% 107.11/56.85 |
% 107.11/56.85 | Equations (804) can reduce 785 to:
% 107.11/56.85 | (400) $false
% 107.11/56.85 |
% 107.11/56.85 |-The branch is then unsatisfiable
% 107.11/56.85 |-Branch two:
% 107.11/56.85 | (804) all_0_27_27 = e4
% 107.11/56.86 | (7643) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (4556), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (4559) all_0_26_26 = e1
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (471,4559) yields a new equation:
% 107.11/56.86 | (620) e2 = e1
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 620 yields:
% 107.11/56.86 | (621) e2 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (621) can reduce 310 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (416) ~ (all_0_26_26 = e1)
% 107.11/56.86 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (4563), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (816) all_0_27_27 = e1
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (804,816) yields a new equation:
% 107.11/56.86 | (975) e4 = e1
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 975 yields:
% 107.11/56.86 | (838) e4 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (838) can reduce 56 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (857) ~ (all_0_27_27 = e1)
% 107.11/56.86 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (4568), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1122) all_0_28_28 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (1122) can reduce 434 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (434) ~ (all_0_28_28 = e1)
% 107.11/56.86 | (4599) all_0_29_29 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (4599) can reduce 2946 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (943) ~ (all_0_19_19 = e1)
% 107.11/56.86 | (1187) all_0_19_19 = e0
% 107.11/56.86 |
% 107.11/56.86 | Equations (1187) can reduce 489 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (1189) ~ (all_0_18_18 = e3)
% 107.11/56.86 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (198), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1297) all_0_15_15 = e3
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (1297,711) yields a new equation:
% 107.11/56.86 | (614) e3 = e2
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 614 yields:
% 107.11/56.86 | (615) e3 = e2
% 107.11/56.86 |
% 107.11/56.86 | Equations (615) can reduce 52 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (572) ~ (all_0_15_15 = e3)
% 107.11/56.86 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (114), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (969) all_0_15_15 = e1
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (969,711) yields a new equation:
% 107.11/56.86 | (621) e2 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (621) can reduce 310 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (679) ~ (all_0_15_15 = e1)
% 107.11/56.86 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (1402), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1490) all_0_20_20 = e1
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (1490,500) yields a new equation:
% 107.11/56.86 | (838) e4 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (838) can reduce 56 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (429) ~ (all_0_20_20 = e1)
% 107.11/56.86 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (500) can reduce 429 to:
% 107.11/56.86 | (56) ~ (e4 = e1)
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (22), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (785) ~ (all_0_27_27 = e4)
% 107.11/56.86 |
% 107.11/56.86 | Equations (804) can reduce 785 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (804) all_0_27_27 = e4
% 107.11/56.86 | (7686) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (1091), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (2975) all_0_36_36 = e4
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (534,2975) yields a new equation:
% 107.11/56.86 | (515) e4 = e0
% 107.11/56.86 |
% 107.11/56.86 | Equations (515) can reduce 267 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (466) ~ (all_0_36_36 = e4)
% 107.11/56.86 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.11/56.86 |
% 107.11/56.86 | Equations (534) can reduce 466 to:
% 107.11/56.86 | (543) ~ (e4 = e0)
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 543 yields:
% 107.11/56.86 | (267) ~ (e4 = e0)
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (5504), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (995) all_0_27_27 = e0
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (804,995) yields a new equation:
% 107.11/56.86 | (743) e4 = e0
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 743 yields:
% 107.11/56.86 | (515) e4 = e0
% 107.11/56.86 |
% 107.11/56.86 | Equations (515) can reduce 267 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (660) ~ (all_0_27_27 = e0)
% 107.11/56.86 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (5510), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1125) all_0_28_28 = e0
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (727), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (728) all_0_35_35 = e3
% 107.11/56.86 |
% 107.11/56.86 | Equations (728) can reduce 210 to:
% 107.11/56.86 | (3094) ~ (all_0_38_38 = e3)
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 3094 yields:
% 107.11/56.86 | (3095) ~ (all_0_38_38 = e3)
% 107.11/56.86 |
% 107.11/56.86 | Equations (728) can reduce 509 to:
% 107.11/56.86 | (558) ~ (e4 = e3)
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 558 yields:
% 107.11/56.86 | (255) ~ (e4 = e3)
% 107.11/56.86 |
% 107.11/56.86 | Equations (728) can reduce 719 to:
% 107.11/56.86 | (52) ~ (e3 = e2)
% 107.11/56.86 |
% 107.11/56.86 | Equations (728) can reduce 1138 to:
% 107.11/56.86 | (298) ~ (e3 = e1)
% 107.11/56.86 |
% 107.11/56.86 | Equations (728) can reduce 536 to:
% 107.11/56.86 | (80) ~ (e3 = e0)
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (2769), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (3117) all_0_16_16 = e3
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (3117,454) yields a new equation:
% 107.11/56.86 | (597) e4 = e3
% 107.11/56.86 |
% 107.11/56.86 | Equations (597) can reduce 255 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (3121) ~ (all_0_16_16 = e3)
% 107.11/56.86 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (2979), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (847) all_0_37_37 = e4
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (1112,847) yields a new equation:
% 107.11/56.86 | (838) e4 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (838) can reduce 56 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (1002) ~ (all_0_37_37 = e4)
% 107.11/56.86 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (2983), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1846) all_0_38_38 = e4
% 107.11/56.86 |
% 107.11/56.86 | Equations (1846) can reduce 3095 to:
% 107.11/56.86 | (255) ~ (e4 = e3)
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (102), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (1147) all_0_18_18 = e3
% 107.11/56.86 |
% 107.11/56.86 | Equations (1147) can reduce 1189 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (1189) ~ (all_0_18_18 = e3)
% 107.11/56.86 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (3122), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (855) all_0_17_17 = e3
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (855,1184) yields a new equation:
% 107.11/56.86 | (647) e3 = e0
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 647 yields:
% 107.11/56.86 | (648) e3 = e0
% 107.11/56.86 |
% 107.11/56.86 | Equations (648) can reduce 80 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (919) ~ (all_0_17_17 = e3)
% 107.11/56.86 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 107.11/56.86 |
% 107.11/56.86 | Equations (1184) can reduce 919 to:
% 107.11/56.86 | (665) ~ (e3 = e0)
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 665 yields:
% 107.11/56.86 | (80) ~ (e3 = e0)
% 107.11/56.86 |
% 107.11/56.86 +-Applying beta-rule and splitting (1742), into two cases.
% 107.11/56.86 |-Branch one:
% 107.11/56.86 | (3107) all_0_23_23 = e3
% 107.11/56.86 |
% 107.11/56.86 | Combining equations (3107,427) yields a new equation:
% 107.11/56.86 | (1113) e3 = e1
% 107.11/56.86 |
% 107.11/56.86 | Simplifying 1113 yields:
% 107.11/56.86 | (928) e3 = e1
% 107.11/56.86 |
% 107.11/56.86 | Equations (928) can reduce 298 to:
% 107.11/56.86 | (400) $false
% 107.11/56.86 |
% 107.11/56.86 |-The branch is then unsatisfiable
% 107.11/56.86 |-Branch two:
% 107.11/56.86 | (1361) ~ (all_0_23_23 = e3)
% 107.11/56.87 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.11/56.87 |
% 107.11/56.87 +-Applying beta-rule and splitting (3112), into two cases.
% 107.11/56.87 |-Branch one:
% 107.11/56.87 | (1106) all_0_28_28 = e3
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (1125,1106) yields a new equation:
% 107.11/56.87 | (648) e3 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (648) can reduce 80 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.87 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 107.11/56.87 |
% 107.11/56.87 +-Applying beta-rule and splitting (3201), into two cases.
% 107.11/56.87 |-Branch one:
% 107.11/56.87 | (1360) all_0_33_33 = e3
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (637,1360) yields a new equation:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Equations (615) can reduce 52 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (574) ~ (all_0_33_33 = e3)
% 107.11/56.87 | (3208) all_0_38_38 = e3
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (1846,3208) yields a new equation:
% 107.11/56.87 | (596) e4 = e3
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 596 yields:
% 107.11/56.87 | (597) e4 = e3
% 107.11/56.87 |
% 107.11/56.87 | Equations (597) can reduce 255 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1835) ~ (all_0_38_38 = e4)
% 107.11/56.87 | (697) all_0_39_39 = e4
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (697,705) yields a new equation:
% 107.11/56.87 | (1531) e4 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 1531 yields:
% 107.11/56.87 | (798) e4 = e2
% 107.11/56.87 |
% 107.11/56.87 | Equations (798) can reduce 21 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (585) ~ (all_0_35_35 = e3)
% 107.11/56.87 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.87 |
% 107.11/56.87 +-Applying beta-rule and splitting (731), into two cases.
% 107.11/56.87 |-Branch one:
% 107.11/56.87 | (732) all_0_35_35 = e2
% 107.11/56.87 |
% 107.11/56.87 | Equations (732) can reduce 719 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (719) ~ (all_0_35_35 = e2)
% 107.11/56.87 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.11/56.87 |
% 107.11/56.87 +-Applying beta-rule and splitting (735), into two cases.
% 107.11/56.87 |-Branch one:
% 107.11/56.87 | (761) all_0_35_35 = e1
% 107.11/56.87 |
% 107.11/56.87 | Equations (761) can reduce 1138 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1138) ~ (all_0_35_35 = e1)
% 107.11/56.87 | (1139) all_0_35_35 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (1139) can reduce 536 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (758) ~ (all_0_28_28 = e0)
% 107.11/56.87 | (5206) all_0_29_29 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (5206) can reduce 493 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (763) ~ (all_0_37_37 = e1)
% 107.11/56.87 | (1136) all_0_37_37 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (1136) can reduce 538 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1320) yields:
% 107.11/56.87 | (969) all_0_15_15 = e1
% 107.11/56.87 | (1322) all_0_33_33 = e4
% 107.11/56.87 | (458) ~ (all_0_18_18 = e4)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (969,711) yields a new equation:
% 107.11/56.87 | (621) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Equations (621) can reduce 310 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1326) yields:
% 107.11/56.87 | (969) all_0_15_15 = e1
% 107.11/56.87 | (1322) all_0_33_33 = e4
% 107.11/56.87 | (417) ~ (all_0_30_30 = e1)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (969,711) yields a new equation:
% 107.11/56.87 | (621) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Equations (621) can reduce 310 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1332) yields:
% 107.11/56.87 | (736) all_0_15_15 = e0
% 107.11/56.87 | (697) all_0_39_39 = e4
% 107.11/56.87 | (460) ~ (all_0_19_19 = e4)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (736,711) yields a new equation:
% 107.11/56.87 | (525) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (525) can reduce 336 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1339) yields:
% 107.11/56.87 | (736) all_0_15_15 = e0
% 107.11/56.87 | (697) all_0_39_39 = e4
% 107.11/56.87 | (536) ~ (all_0_35_35 = e0)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (736,711) yields a new equation:
% 107.11/56.87 | (525) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (525) can reduce 336 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1346) yields:
% 107.11/56.87 | (1347) all_0_21_21 = e2
% 107.11/56.87 | (808) all_0_27_27 = e3
% 107.11/56.87 | (925) ~ (all_0_22_22 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,1347) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Equations (615) can reduce 52 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1352) yields:
% 107.11/56.87 | (1347) all_0_21_21 = e2
% 107.11/56.87 | (808) all_0_27_27 = e3
% 107.11/56.87 | (1355) ~ (all_0_26_26 = e2)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,1347) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Equations (615) can reduce 52 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1358) yields:
% 107.11/56.87 | (1359) all_0_21_21 = e1
% 107.11/56.87 | (1360) all_0_33_33 = e3
% 107.11/56.87 | (1361) ~ (all_0_23_23 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,1359) yields a new equation:
% 107.11/56.87 | (1113) e3 = e1
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 1113 yields:
% 107.11/56.87 | (928) e3 = e1
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (1360,637) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (615,928) yields a new equation:
% 107.11/56.87 | (620) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 620 yields:
% 107.11/56.87 | (621) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Equations (621) can reduce 310 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1367) yields:
% 107.11/56.87 | (1359) all_0_21_21 = e1
% 107.11/56.87 | (1360) all_0_33_33 = e3
% 107.11/56.87 | (1370) ~ (all_0_31_31 = e1)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,1359) yields a new equation:
% 107.11/56.87 | (1113) e3 = e1
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 1113 yields:
% 107.11/56.87 | (928) e3 = e1
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (1360,637) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (615,928) yields a new equation:
% 107.11/56.87 | (620) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 620 yields:
% 107.11/56.87 | (621) e2 = e1
% 107.11/56.87 |
% 107.11/56.87 | Equations (621) can reduce 310 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1376) yields:
% 107.11/56.87 | (519) all_0_21_21 = e0
% 107.11/56.87 | (701) all_0_39_39 = e3
% 107.11/56.87 | (1379) ~ (all_0_24_24 = e3)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,519) yields a new equation:
% 107.11/56.87 | (647) e3 = e0
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 647 yields:
% 107.11/56.87 | (648) e3 = e0
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (701,705) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (615,648) yields a new equation:
% 107.11/56.87 | (524) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 524 yields:
% 107.11/56.87 | (525) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (525) can reduce 336 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1385) yields:
% 107.11/56.87 | (519) all_0_21_21 = e0
% 107.11/56.87 | (701) all_0_39_39 = e3
% 107.11/56.87 | (1388) ~ (all_0_36_36 = e0)
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (557,519) yields a new equation:
% 107.11/56.87 | (647) e3 = e0
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 647 yields:
% 107.11/56.87 | (648) e3 = e0
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (701,705) yields a new equation:
% 107.11/56.87 | (614) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 614 yields:
% 107.11/56.87 | (615) e3 = e2
% 107.11/56.87 |
% 107.11/56.87 | Combining equations (615,648) yields a new equation:
% 107.11/56.87 | (524) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Simplifying 524 yields:
% 107.11/56.87 | (525) e2 = e0
% 107.11/56.87 |
% 107.11/56.87 | Equations (525) can reduce 336 to:
% 107.11/56.87 | (400) $false
% 107.11/56.87 |
% 107.11/56.87 |-The branch is then unsatisfiable
% 107.11/56.87 |-Branch two:
% 107.11/56.87 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 107.11/56.87 |
% 107.11/56.87 | Applying alpha-rule on (1394) yields:
% 107.11/56.87 | (816) all_0_27_27 = e1
% 107.11/56.88 | (637) all_0_33_33 = e2
% 107.11/56.88 | (477) ~ (all_0_28_28 = e2)
% 107.11/56.88 |
% 107.11/56.88 | Equations (816) can reduce 857 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Applying alpha-rule on (1421) yields:
% 107.11/56.88 | (816) all_0_27_27 = e1
% 107.11/56.88 | (637) all_0_33_33 = e2
% 107.11/56.88 | (419) ~ (all_0_32_32 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (816) can reduce 857 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 107.11/56.88 |
% 107.11/56.88 | Applying alpha-rule on (1448) yields:
% 107.11/56.88 | (995) all_0_27_27 = e0
% 107.11/56.88 | (705) all_0_39_39 = e2
% 107.11/56.88 | (479) ~ (all_0_29_29 = e2)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 660 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Applying alpha-rule on (1455) yields:
% 107.11/56.88 | (995) all_0_27_27 = e0
% 107.11/56.88 | (705) all_0_39_39 = e2
% 107.11/56.88 | (538) ~ (all_0_37_37 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 660 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Applying alpha-rule on (1462) yields:
% 107.11/56.88 | (1463) all_0_33_33 = e0
% 107.11/56.88 | (1252) all_0_39_39 = e1
% 107.11/56.88 | (421) ~ (all_0_34_34 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (637,1463) yields a new equation:
% 107.11/56.88 | (524) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 524 yields:
% 107.11/56.88 | (525) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (1252,705) yields a new equation:
% 107.11/56.88 | (621) e2 = e1
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (621,525) yields a new equation:
% 107.11/56.88 | (530) e1 = e0
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 530 yields:
% 107.11/56.88 | (531) e1 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (531) can reduce 40 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Applying alpha-rule on (1469) yields:
% 107.11/56.88 | (1463) all_0_33_33 = e0
% 107.11/56.88 | (1252) all_0_39_39 = e1
% 107.11/56.88 | (540) ~ (all_0_38_38 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (637,1463) yields a new equation:
% 107.11/56.88 | (524) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 524 yields:
% 107.11/56.88 | (525) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (1252,705) yields a new equation:
% 107.11/56.88 | (621) e2 = e1
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (621,525) yields a new equation:
% 107.11/56.88 | (530) e1 = e0
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 530 yields:
% 107.11/56.88 | (531) e1 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (531) can reduce 40 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (659) ~ (all_0_17_17 = e0)
% 107.11/56.88 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (4262), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (4273) all_0_22_22 = e0
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (442,4273) yields a new equation:
% 107.11/56.88 | (524) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 524 yields:
% 107.11/56.88 | (525) e2 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (525) can reduce 336 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (4277) ~ (all_0_22_22 = e0)
% 107.11/56.88 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (4278), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (995) all_0_27_27 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 337 to:
% 107.11/56.88 | (757) ~ (all_0_28_28 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 757 yields:
% 107.11/56.88 | (758) ~ (all_0_28_28 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 167 to:
% 107.11/56.88 | (537) ~ (all_0_37_37 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 537 yields:
% 107.11/56.88 | (538) ~ (all_0_37_37 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 573 to:
% 107.11/56.88 | (665) ~ (e3 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 665 yields:
% 107.11/56.88 | (80) ~ (e3 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 475 to:
% 107.11/56.88 | (496) ~ (e2 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 496 yields:
% 107.11/56.88 | (336) ~ (e2 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (995) can reduce 857 to:
% 107.11/56.88 | (498) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 498 yields:
% 107.11/56.88 | (40) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (340), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (756) all_0_18_18 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 9 to:
% 107.11/56.88 | (659) ~ (all_0_17_17 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 172 to:
% 107.11/56.88 | (3657) ~ (all_0_19_19 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 3657 yields:
% 107.11/56.88 | (489) ~ (all_0_19_19 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 302 to:
% 107.11/56.88 | (757) ~ (all_0_28_28 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 757 yields:
% 107.11/56.88 | (758) ~ (all_0_28_28 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 38 to:
% 107.11/56.88 | (539) ~ (all_0_38_38 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 539 yields:
% 107.11/56.88 | (540) ~ (all_0_38_38 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 458 to:
% 107.11/56.88 | (543) ~ (e4 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 543 yields:
% 107.11/56.88 | (267) ~ (e4 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Equations (756) can reduce 428 to:
% 107.11/56.88 | (498) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 498 yields:
% 107.11/56.88 | (40) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (51), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (793) all_0_17_17 = e4
% 107.11/56.88 |
% 107.11/56.88 | Equations (793) can reduce 456 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (456) ~ (all_0_17_17 = e4)
% 107.11/56.88 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (55), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (590) all_0_25_25 = e4
% 107.11/56.88 |
% 107.11/56.88 | Equations (590) can reduce 505 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (505) ~ (all_0_25_25 = e4)
% 107.11/56.88 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (796), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (797) all_0_22_22 = e4
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (442,797) yields a new equation:
% 107.11/56.88 | (798) e4 = e2
% 107.11/56.88 |
% 107.11/56.88 | Equations (798) can reduce 21 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (800) ~ (all_0_22_22 = e4)
% 107.11/56.88 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.11/56.88 |
% 107.11/56.88 | Equations (442) can reduce 800 to:
% 107.11/56.88 | (482) ~ (e4 = e2)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 482 yields:
% 107.11/56.88 | (21) ~ (e4 = e2)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (790), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (832) all_0_26_26 = e4
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (471,832) yields a new equation:
% 107.11/56.88 | (798) e4 = e2
% 107.11/56.88 |
% 107.11/56.88 | Equations (798) can reduce 21 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (464) ~ (all_0_26_26 = e4)
% 107.11/56.88 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (801), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (804) all_0_27_27 = e4
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (995,804) yields a new equation:
% 107.11/56.88 | (515) e4 = e0
% 107.11/56.88 |
% 107.11/56.88 | Equations (515) can reduce 267 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (785) ~ (all_0_27_27 = e4)
% 107.11/56.88 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (841), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (609) all_0_32_32 = e4
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (629,609) yields a new equation:
% 107.11/56.88 | (597) e4 = e3
% 107.11/56.88 |
% 107.11/56.88 | Equations (597) can reduce 255 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (604) ~ (all_0_32_32 = e4)
% 107.11/56.88 | (847) all_0_37_37 = e4
% 107.11/56.88 |
% 107.11/56.88 | Equations (847) can reduce 309 to:
% 107.11/56.88 | (509) ~ (all_0_35_35 = e4)
% 107.11/56.88 |
% 107.11/56.88 | Equations (847) can reduce 97 to:
% 107.11/56.88 | (1834) ~ (all_0_38_38 = e4)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 1834 yields:
% 107.11/56.88 | (1835) ~ (all_0_38_38 = e4)
% 107.11/56.88 |
% 107.11/56.88 | Equations (847) can reduce 1127 to:
% 107.11/56.88 | (255) ~ (e4 = e3)
% 107.11/56.88 |
% 107.11/56.88 | Equations (847) can reduce 538 to:
% 107.11/56.88 | (267) ~ (e4 = e0)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (249), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (980) all_0_17_17 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (980) can reduce 131 to:
% 107.11/56.88 | (3853) ~ (all_0_19_19 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 3853 yields:
% 107.11/56.88 | (943) ~ (all_0_19_19 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (980) can reduce 919 to:
% 107.11/56.88 | (824) ~ (e3 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 824 yields:
% 107.11/56.88 | (298) ~ (e3 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (980) can reduce 396 to:
% 107.11/56.88 | (766) ~ (e2 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 766 yields:
% 107.11/56.88 | (310) ~ (e2 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (980) can reduce 659 to:
% 107.11/56.88 | (40) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (262), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (829) all_0_19_19 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (829) can reduce 943 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (943) ~ (all_0_19_19 = e1)
% 107.11/56.88 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (148), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (761) all_0_35_35 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (761) can reduce 194 to:
% 107.11/56.88 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (761) can reduce 719 to:
% 107.11/56.88 | (766) ~ (e2 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 766 yields:
% 107.11/56.88 | (310) ~ (e2 = e1)
% 107.11/56.88 |
% 107.11/56.88 | Equations (761) can reduce 536 to:
% 107.11/56.88 | (40) ~ (e1 = e0)
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (43), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (1495) all_0_25_25 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (1495) can reduce 1519 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (1519) ~ (all_0_25_25 = e1)
% 107.11/56.88 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (76), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (769) ~ (all_0_15_15 = e2)
% 107.11/56.88 |
% 107.11/56.88 | Equations (711) can reduce 769 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (711) all_0_15_15 = e2
% 107.11/56.88 | (8348) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (4556), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (4559) all_0_26_26 = e1
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (471,4559) yields a new equation:
% 107.11/56.88 | (620) e2 = e1
% 107.11/56.88 |
% 107.11/56.88 | Simplifying 620 yields:
% 107.11/56.88 | (621) e2 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (621) can reduce 310 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (416) ~ (all_0_26_26 = e1)
% 107.11/56.88 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.88 |
% 107.11/56.88 +-Applying beta-rule and splitting (254), into two cases.
% 107.11/56.88 |-Branch one:
% 107.11/56.88 | (728) all_0_35_35 = e3
% 107.11/56.88 |
% 107.11/56.88 | Combining equations (761,728) yields a new equation:
% 107.11/56.88 | (928) e3 = e1
% 107.11/56.88 |
% 107.11/56.88 | Equations (928) can reduce 298 to:
% 107.11/56.88 | (400) $false
% 107.11/56.88 |
% 107.11/56.88 |-The branch is then unsatisfiable
% 107.11/56.88 |-Branch two:
% 107.11/56.88 | (585) ~ (all_0_35_35 = e3)
% 107.11/56.88 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.11/56.88 |
% 107.11/56.89 +-Applying beta-rule and splitting (4563), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (816) all_0_27_27 = e1
% 107.11/56.89 |
% 107.11/56.89 | Combining equations (995,816) yields a new equation:
% 107.11/56.89 | (531) e1 = e0
% 107.11/56.89 |
% 107.11/56.89 | Equations (531) can reduce 40 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (857) ~ (all_0_27_27 = e1)
% 107.11/56.89 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (4568), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (1122) all_0_28_28 = e1
% 107.11/56.89 |
% 107.11/56.89 | Equations (1122) can reduce 434 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (434) ~ (all_0_28_28 = e1)
% 107.11/56.89 | (4599) all_0_29_29 = e1
% 107.11/56.89 |
% 107.11/56.89 | Equations (4599) can reduce 174 to:
% 107.11/56.89 | (943) ~ (all_0_19_19 = e1)
% 107.11/56.89 |
% 107.11/56.89 | Equations (4599) can reduce 47 to:
% 107.11/56.89 | (434) ~ (all_0_28_28 = e1)
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (316), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (1250) ~ (all_0_39_39 = e2)
% 107.11/56.89 |
% 107.11/56.89 | Equations (705) can reduce 1250 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (705) all_0_39_39 = e2
% 107.11/56.89 | (8374) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (4535), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (4536) all_0_36_36 = e3
% 107.11/56.89 |
% 107.11/56.89 | Combining equations (534,4536) yields a new equation:
% 107.11/56.89 | (648) e3 = e0
% 107.11/56.89 |
% 107.11/56.89 | Equations (648) can reduce 80 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (4540) ~ (all_0_36_36 = e3)
% 107.11/56.89 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (4541), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (936) all_0_37_37 = e3
% 107.11/56.89 |
% 107.11/56.89 | Combining equations (936,847) yields a new equation:
% 107.11/56.89 | (597) e4 = e3
% 107.11/56.89 |
% 107.11/56.89 | Equations (597) can reduce 255 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (1127) ~ (all_0_37_37 = e3)
% 107.11/56.89 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (273), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (660) ~ (all_0_27_27 = e0)
% 107.11/56.89 |
% 107.11/56.89 | Equations (995) can reduce 660 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (995) all_0_27_27 = e0
% 107.11/56.89 | (8388) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (8388), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (8389) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (8389), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 107.11/56.89 |
% 107.11/56.89 | Applying alpha-rule on (3040) yields:
% 107.11/56.89 | (3041) all_0_7_7 = all_0_29_29
% 107.11/56.89 | (3042) ~ (all_0_6_6 = e1)
% 107.11/56.89 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.11/56.89 |
% 107.11/56.89 | Combining equations (4599,3041) yields a new equation:
% 107.11/56.89 | (8394) all_0_7_7 = e1
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (4729), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (3208) all_0_38_38 = e3
% 107.11/56.89 |
% 107.11/56.89 | Equations (3208) can reduce 207 to:
% 107.11/56.89 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (86), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (854) all_0_28_28 = e4
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (130), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (1159) all_0_19_19 = e3
% 107.11/56.89 |
% 107.11/56.89 | Equations (1159) can reduce 460 to:
% 107.11/56.89 | (558) ~ (e4 = e3)
% 107.11/56.89 |
% 107.11/56.89 | Simplifying 558 yields:
% 107.11/56.89 | (255) ~ (e4 = e3)
% 107.11/56.89 |
% 107.11/56.89 | Equations (1159) can reduce 706 to:
% 107.11/56.89 | (52) ~ (e3 = e2)
% 107.11/56.89 |
% 107.11/56.89 | Equations (1159) can reduce 943 to:
% 107.11/56.89 | (298) ~ (e3 = e1)
% 107.11/56.89 |
% 107.11/56.89 | Equations (1159) can reduce 489 to:
% 107.11/56.89 | (80) ~ (e3 = e0)
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (8348), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (8404) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (8404), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (8405) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12
% 107.11/56.89 |
% 107.11/56.89 | Applying alpha-rule on (8405) yields:
% 107.11/56.89 | (1032) all_0_13_13 = all_0_17_17
% 107.11/56.89 | (1566) ~ (all_0_12_12 = e0)
% 107.11/56.89 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 107.11/56.89 |
% 107.11/56.89 | From (980) and (1034) follows:
% 107.11/56.89 | (1043) op(e1, e4) = all_0_12_12
% 107.11/56.89 |
% 107.11/56.89 | Instantiating formula (29) with e1, e4, all_0_12_12, e0 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e0, yields:
% 107.11/56.89 | (3916) all_0_12_12 = e0
% 107.11/56.89 |
% 107.11/56.89 | Equations (3916) can reduce 1566 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 107.11/56.89 |
% 107.11/56.89 | Applying alpha-rule on (1046) yields:
% 107.11/56.89 | (1032) all_0_13_13 = all_0_17_17
% 107.11/56.89 | (817) ~ (all_0_17_17 = e1)
% 107.11/56.89 |
% 107.11/56.89 | Equations (980) can reduce 817 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (8416) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3)
% 107.11/56.89 |
% 107.11/56.89 | Applying alpha-rule on (8416) yields:
% 107.11/56.89 | (1053) all_0_14_14 = all_0_25_25
% 107.11/56.89 | (577) ~ (all_0_25_25 = e3)
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (57), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (1698) all_0_25_25 = e3
% 107.11/56.89 |
% 107.11/56.89 | Equations (1698) can reduce 577 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (577) ~ (all_0_25_25 = e3)
% 107.11/56.89 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (3006), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (3007) all_0_26_26 = e3
% 107.11/56.89 |
% 107.11/56.89 | Combining equations (471,3007) yields a new equation:
% 107.11/56.89 | (615) e3 = e2
% 107.11/56.89 |
% 107.11/56.89 | Equations (615) can reduce 52 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (3010) ~ (all_0_26_26 = e3)
% 107.11/56.89 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.11/56.89 |
% 107.11/56.89 +-Applying beta-rule and splitting (268), into two cases.
% 107.11/56.89 |-Branch one:
% 107.11/56.89 | (660) ~ (all_0_27_27 = e0)
% 107.11/56.89 |
% 107.11/56.89 | Equations (995) can reduce 660 to:
% 107.11/56.89 | (400) $false
% 107.11/56.89 |
% 107.11/56.89 |-The branch is then unsatisfiable
% 107.11/56.89 |-Branch two:
% 107.11/56.89 | (995) all_0_27_27 = e0
% 107.11/56.90 | (8431) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (8431), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (8432) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (8432), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 107.11/56.90 |
% 107.11/56.90 | Applying alpha-rule on (8433) yields:
% 107.11/56.90 | (3041) all_0_7_7 = all_0_29_29
% 107.11/56.90 | (874) ~ (all_0_6_6 = e3)
% 107.11/56.90 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (3041,8394) yields a new equation:
% 107.11/56.90 | (8437) all_0_29_29 = e1
% 107.11/56.90 |
% 107.11/56.90 | Simplifying 8437 yields:
% 107.11/56.90 | (4599) all_0_29_29 = e1
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (3011), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (808) all_0_27_27 = e3
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (995,808) yields a new equation:
% 107.11/56.90 | (648) e3 = e0
% 107.11/56.90 |
% 107.11/56.90 | Equations (648) can reduce 80 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (573) ~ (all_0_27_27 = e3)
% 107.11/56.90 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (6683), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (6785) all_0_20_20 = e3
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (6785,500) yields a new equation:
% 107.11/56.90 | (597) e4 = e3
% 107.11/56.90 |
% 107.11/56.90 | Equations (597) can reduce 255 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (1306) ~ (all_0_20_20 = e3)
% 107.11/56.90 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.11/56.90 |
% 107.11/56.90 | Equations (500) can reduce 1306 to:
% 107.11/56.90 | (255) ~ (e4 = e3)
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (3016), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (1106) all_0_28_28 = e3
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (854,1106) yields a new equation:
% 107.11/56.90 | (596) e4 = e3
% 107.11/56.90 |
% 107.11/56.90 | Simplifying 596 yields:
% 107.11/56.90 | (597) e4 = e3
% 107.11/56.90 |
% 107.11/56.90 | Equations (597) can reduce 255 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.90 | (3056) all_0_29_29 = e3
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (4599,3056) yields a new equation:
% 107.11/56.90 | (928) e3 = e1
% 107.11/56.90 |
% 107.11/56.90 | Equations (928) can reduce 298 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (8458) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)
% 107.11/56.90 |
% 107.11/56.90 | Applying alpha-rule on (8458) yields:
% 107.11/56.90 | (3041) all_0_7_7 = all_0_29_29
% 107.11/56.90 | (2946) ~ (all_0_29_29 = e1)
% 107.11/56.90 |
% 107.11/56.90 | Combining equations (3041,8394) yields a new equation:
% 107.11/56.90 | (8437) all_0_29_29 = e1
% 107.11/56.90 |
% 107.11/56.90 | Simplifying 8437 yields:
% 107.11/56.90 | (4599) all_0_29_29 = e1
% 107.11/56.90 |
% 107.11/56.90 | Equations (4599) can reduce 2946 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 107.11/56.90 |
% 107.11/56.90 | Applying alpha-rule on (8464) yields:
% 107.11/56.90 | (3052) all_0_8_8 = all_0_37_37
% 107.11/56.90 | (1002) ~ (all_0_37_37 = e4)
% 107.11/56.90 |
% 107.11/56.90 | Equations (847) can reduce 1002 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (1150) ~ (all_0_19_19 = e3)
% 107.11/56.90 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (332), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (1151) all_0_19_19 = e4
% 107.11/56.90 |
% 107.11/56.90 | Equations (1151) can reduce 460 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (460) ~ (all_0_19_19 = e4)
% 107.11/56.90 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (1154), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (1159) all_0_19_19 = e3
% 107.11/56.90 |
% 107.11/56.90 | Equations (1159) can reduce 1150 to:
% 107.11/56.90 | (400) $false
% 107.11/56.90 |
% 107.11/56.90 |-The branch is then unsatisfiable
% 107.11/56.90 |-Branch two:
% 107.11/56.90 | (1150) ~ (all_0_19_19 = e3)
% 107.11/56.90 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.90 |
% 107.11/56.90 +-Applying beta-rule and splitting (1162), into two cases.
% 107.11/56.90 |-Branch one:
% 107.11/56.90 | (1163) all_0_19_19 = e2
% 107.11/56.90 |
% 107.11/56.91 | Equations (1163) can reduce 706 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (706) ~ (all_0_19_19 = e2)
% 107.11/56.91 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (1166), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (829) all_0_19_19 = e1
% 107.11/56.91 |
% 107.11/56.91 | Equations (829) can reduce 943 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (943) ~ (all_0_19_19 = e1)
% 107.11/56.91 | (1187) all_0_19_19 = e0
% 107.11/56.91 |
% 107.11/56.91 | Equations (1187) can reduce 489 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (883) ~ (all_0_28_28 = e4)
% 107.11/56.91 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (1021), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (1106) all_0_28_28 = e3
% 107.11/56.91 |
% 107.11/56.91 | Equations (1106) can reduce 893 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.91 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (1117), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (1118) all_0_28_28 = e2
% 107.11/56.91 |
% 107.11/56.91 | Equations (1118) can reduce 477 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (477) ~ (all_0_28_28 = e2)
% 107.11/56.91 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (1121), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (1122) all_0_28_28 = e1
% 107.11/56.91 |
% 107.11/56.91 | Equations (1122) can reduce 434 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (434) ~ (all_0_28_28 = e1)
% 107.11/56.91 | (1125) all_0_28_28 = e0
% 107.11/56.91 |
% 107.11/56.91 | Equations (1125) can reduce 758 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (3095) ~ (all_0_38_38 = e3)
% 107.11/56.91 | (701) all_0_39_39 = e3
% 107.11/56.91 |
% 107.11/56.91 | Combining equations (701,705) yields a new equation:
% 107.11/56.91 | (614) e3 = e2
% 107.11/56.91 |
% 107.11/56.91 | Simplifying 614 yields:
% 107.11/56.91 | (615) e3 = e2
% 107.11/56.91 |
% 107.11/56.91 | Equations (615) can reduce 52 to:
% 107.11/56.91 | (400) $false
% 107.11/56.91 |
% 107.11/56.91 |-The branch is then unsatisfiable
% 107.11/56.91 |-Branch two:
% 107.11/56.91 | (8507) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)
% 107.11/56.91 |
% 107.11/56.91 | Applying alpha-rule on (8507) yields:
% 107.11/56.91 | (3041) all_0_7_7 = all_0_29_29
% 107.11/56.91 | (3115) ~ (all_0_29_29 = e3)
% 107.11/56.91 |
% 107.11/56.91 | Combining equations (4599,3041) yields a new equation:
% 107.11/56.91 | (8394) all_0_7_7 = e1
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (4729), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (3208) all_0_38_38 = e3
% 107.11/56.91 |
% 107.11/56.91 | Equations (3208) can reduce 207 to:
% 107.11/56.91 | (893) ~ (all_0_28_28 = e3)
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (86), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (854) all_0_28_28 = e4
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (130), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (1159) all_0_19_19 = e3
% 107.11/56.91 |
% 107.11/56.91 | Equations (1159) can reduce 460 to:
% 107.11/56.91 | (558) ~ (e4 = e3)
% 107.11/56.91 |
% 107.11/56.91 | Simplifying 558 yields:
% 107.11/56.91 | (255) ~ (e4 = e3)
% 107.11/56.91 |
% 107.11/56.91 | Equations (1159) can reduce 706 to:
% 107.11/56.91 | (52) ~ (e3 = e2)
% 107.11/56.91 |
% 107.11/56.91 | Equations (1159) can reduce 943 to:
% 107.11/56.91 | (298) ~ (e3 = e1)
% 107.11/56.91 |
% 107.11/56.91 | Equations (1159) can reduce 489 to:
% 107.11/56.91 | (80) ~ (e3 = e0)
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (8348), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (8404) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 107.11/56.91 |
% 107.11/56.91 +-Applying beta-rule and splitting (8404), into two cases.
% 107.11/56.91 |-Branch one:
% 107.11/56.91 | (8405) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12
% 107.11/56.91 |
% 107.11/56.91 | Applying alpha-rule on (8405) yields:
% 107.11/56.91 | (1032) all_0_13_13 = all_0_17_17
% 107.39/56.91 | (1566) ~ (all_0_12_12 = e0)
% 107.39/56.91 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 107.39/56.91 |
% 107.39/56.91 | From (980) and (1034) follows:
% 107.39/56.91 | (1043) op(e1, e4) = all_0_12_12
% 107.39/56.91 |
% 107.39/56.91 | Instantiating formula (29) with e1, e4, all_0_12_12, e0 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e0, yields:
% 107.39/56.91 | (3916) all_0_12_12 = e0
% 107.39/56.91 |
% 107.39/56.91 | Equations (3916) can reduce 1566 to:
% 107.39/56.91 | (400) $false
% 107.39/56.91 |
% 107.39/56.91 |-The branch is then unsatisfiable
% 107.39/56.91 |-Branch two:
% 107.39/56.91 | (1046) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)
% 107.39/56.91 |
% 107.39/56.91 | Applying alpha-rule on (1046) yields:
% 107.39/56.91 | (1032) all_0_13_13 = all_0_17_17
% 107.39/56.91 | (817) ~ (all_0_17_17 = e1)
% 107.39/56.91 |
% 107.39/56.91 | Equations (980) can reduce 817 to:
% 107.39/56.91 | (400) $false
% 107.39/56.91 |
% 107.39/56.91 |-The branch is then unsatisfiable
% 107.39/56.91 |-Branch two:
% 107.39/56.91 | (8416) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3)
% 107.39/56.91 |
% 107.39/56.91 | Applying alpha-rule on (8416) yields:
% 107.39/56.91 | (1053) all_0_14_14 = all_0_25_25
% 107.39/56.91 | (577) ~ (all_0_25_25 = e3)
% 107.39/56.91 |
% 107.39/56.91 +-Applying beta-rule and splitting (57), into two cases.
% 107.39/56.91 |-Branch one:
% 107.39/56.91 | (1698) all_0_25_25 = e3
% 107.39/56.91 |
% 107.39/56.91 | Equations (1698) can reduce 577 to:
% 107.39/56.91 | (400) $false
% 107.39/56.91 |
% 107.39/56.91 |-The branch is then unsatisfiable
% 107.39/56.91 |-Branch two:
% 107.39/56.91 | (577) ~ (all_0_25_25 = e3)
% 107.39/56.91 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.39/56.91 |
% 107.39/56.91 +-Applying beta-rule and splitting (3006), into two cases.
% 107.39/56.91 |-Branch one:
% 107.39/56.91 | (3007) all_0_26_26 = e3
% 107.39/56.91 |
% 107.39/56.91 | Combining equations (471,3007) yields a new equation:
% 107.39/56.91 | (615) e3 = e2
% 107.39/56.91 |
% 107.39/56.91 | Equations (615) can reduce 52 to:
% 107.39/56.91 | (400) $false
% 107.39/56.91 |
% 107.39/56.91 |-The branch is then unsatisfiable
% 107.39/56.91 |-Branch two:
% 107.39/56.91 | (3010) ~ (all_0_26_26 = e3)
% 107.39/56.91 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.39/56.91 |
% 107.39/56.91 +-Applying beta-rule and splitting (268), into two cases.
% 107.39/56.91 |-Branch one:
% 107.39/56.91 | (660) ~ (all_0_27_27 = e0)
% 107.39/56.91 |
% 107.39/56.91 | Equations (995) can reduce 660 to:
% 107.39/56.91 | (400) $false
% 107.39/56.91 |
% 107.39/56.91 |-The branch is then unsatisfiable
% 107.39/56.91 |-Branch two:
% 107.39/56.91 | (995) all_0_27_27 = e0
% 107.39/56.91 | (8431) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 107.39/56.91 |
% 107.39/56.91 +-Applying beta-rule and splitting (8431), into two cases.
% 107.39/56.91 |-Branch one:
% 107.39/56.91 | (8432) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.39/56.91 |
% 107.39/56.91 +-Applying beta-rule and splitting (8432), into two cases.
% 107.39/56.91 |-Branch one:
% 107.39/56.91 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 107.39/56.91 |
% 107.39/56.91 | Applying alpha-rule on (8433) yields:
% 107.39/56.91 | (3041) all_0_7_7 = all_0_29_29
% 107.39/56.91 | (874) ~ (all_0_6_6 = e3)
% 107.39/56.91 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.39/56.91 |
% 107.39/56.91 | Combining equations (3041,8394) yields a new equation:
% 107.39/56.92 | (8437) all_0_29_29 = e1
% 107.39/56.92 |
% 107.39/56.92 | Simplifying 8437 yields:
% 107.39/56.92 | (4599) all_0_29_29 = e1
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (3011), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (808) all_0_27_27 = e3
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (995,808) yields a new equation:
% 107.39/56.92 | (648) e3 = e0
% 107.39/56.92 |
% 107.39/56.92 | Equations (648) can reduce 80 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (573) ~ (all_0_27_27 = e3)
% 107.39/56.92 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (6683), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (6785) all_0_20_20 = e3
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (6785,500) yields a new equation:
% 107.39/56.92 | (597) e4 = e3
% 107.39/56.92 |
% 107.39/56.92 | Equations (597) can reduce 255 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (1306) ~ (all_0_20_20 = e3)
% 107.39/56.92 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.39/56.92 |
% 107.39/56.92 | Equations (500) can reduce 1306 to:
% 107.39/56.92 | (255) ~ (e4 = e3)
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (3016), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1106) all_0_28_28 = e3
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (854,1106) yields a new equation:
% 107.39/56.92 | (596) e4 = e3
% 107.39/56.92 |
% 107.39/56.92 | Simplifying 596 yields:
% 107.39/56.92 | (597) e4 = e3
% 107.39/56.92 |
% 107.39/56.92 | Equations (597) can reduce 255 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (893) ~ (all_0_28_28 = e3)
% 107.39/56.92 | (3056) all_0_29_29 = e3
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (4599,3056) yields a new equation:
% 107.39/56.92 | (928) e3 = e1
% 107.39/56.92 |
% 107.39/56.92 | Equations (928) can reduce 298 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (8458) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)
% 107.39/56.92 |
% 107.39/56.92 | Applying alpha-rule on (8458) yields:
% 107.39/56.92 | (3041) all_0_7_7 = all_0_29_29
% 107.39/56.92 | (2946) ~ (all_0_29_29 = e1)
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (3041,8394) yields a new equation:
% 107.39/56.92 | (8437) all_0_29_29 = e1
% 107.39/56.92 |
% 107.39/56.92 | Simplifying 8437 yields:
% 107.39/56.92 | (4599) all_0_29_29 = e1
% 107.39/56.92 |
% 107.39/56.92 | Equations (4599) can reduce 2946 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 107.39/56.92 |
% 107.39/56.92 | Applying alpha-rule on (8464) yields:
% 107.39/56.92 | (3052) all_0_8_8 = all_0_37_37
% 107.39/56.92 | (1002) ~ (all_0_37_37 = e4)
% 107.39/56.92 |
% 107.39/56.92 | Equations (847) can reduce 1002 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (1150) ~ (all_0_19_19 = e3)
% 107.39/56.92 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (332), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1151) all_0_19_19 = e4
% 107.39/56.92 |
% 107.39/56.92 | Equations (1151) can reduce 460 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (460) ~ (all_0_19_19 = e4)
% 107.39/56.92 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1154), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1159) all_0_19_19 = e3
% 107.39/56.92 |
% 107.39/56.92 | Equations (1159) can reduce 1150 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (1150) ~ (all_0_19_19 = e3)
% 107.39/56.92 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1162), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1163) all_0_19_19 = e2
% 107.39/56.92 |
% 107.39/56.92 | Equations (1163) can reduce 706 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (706) ~ (all_0_19_19 = e2)
% 107.39/56.92 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1166), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (829) all_0_19_19 = e1
% 107.39/56.92 |
% 107.39/56.92 | Equations (829) can reduce 943 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (943) ~ (all_0_19_19 = e1)
% 107.39/56.92 | (1187) all_0_19_19 = e0
% 107.39/56.92 |
% 107.39/56.92 | Equations (1187) can reduce 489 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (883) ~ (all_0_28_28 = e4)
% 107.39/56.92 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1021), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1106) all_0_28_28 = e3
% 107.39/56.92 |
% 107.39/56.92 | Equations (1106) can reduce 893 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (893) ~ (all_0_28_28 = e3)
% 107.39/56.92 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1117), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1118) all_0_28_28 = e2
% 107.39/56.92 |
% 107.39/56.92 | Equations (1118) can reduce 477 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (477) ~ (all_0_28_28 = e2)
% 107.39/56.92 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.39/56.92 |
% 107.39/56.92 +-Applying beta-rule and splitting (1121), into two cases.
% 107.39/56.92 |-Branch one:
% 107.39/56.92 | (1122) all_0_28_28 = e1
% 107.39/56.92 |
% 107.39/56.92 | Equations (1122) can reduce 434 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (434) ~ (all_0_28_28 = e1)
% 107.39/56.92 | (1125) all_0_28_28 = e0
% 107.39/56.92 |
% 107.39/56.92 | Equations (1125) can reduce 758 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.92 |-Branch two:
% 107.39/56.92 | (3095) ~ (all_0_38_38 = e3)
% 107.39/56.92 | (701) all_0_39_39 = e3
% 107.39/56.92 |
% 107.39/56.92 | Combining equations (701,705) yields a new equation:
% 107.39/56.92 | (614) e3 = e2
% 107.39/56.92 |
% 107.39/56.92 | Simplifying 614 yields:
% 107.39/56.92 | (615) e3 = e2
% 107.39/56.92 |
% 107.39/56.92 | Equations (615) can reduce 52 to:
% 107.39/56.92 | (400) $false
% 107.39/56.92 |
% 107.39/56.92 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 107.39/56.93 |
% 107.39/56.93 | Applying alpha-rule on (8464) yields:
% 107.39/56.93 | (3052) all_0_8_8 = all_0_37_37
% 107.39/56.93 | (1002) ~ (all_0_37_37 = e4)
% 107.39/56.93 |
% 107.39/56.93 | Equations (847) can reduce 1002 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (1138) ~ (all_0_35_35 = e1)
% 107.39/56.93 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (114), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (969) all_0_15_15 = e1
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (969,711) yields a new equation:
% 107.39/56.93 | (621) e2 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (621) can reduce 310 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (679) ~ (all_0_15_15 = e1)
% 107.39/56.93 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (128), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (724) all_0_35_35 = e4
% 107.39/56.93 |
% 107.39/56.93 | Equations (724) can reduce 509 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (509) ~ (all_0_35_35 = e4)
% 107.39/56.93 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (836), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (804) all_0_27_27 = e4
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (995,804) yields a new equation:
% 107.39/56.93 | (515) e4 = e0
% 107.39/56.93 |
% 107.39/56.93 | Equations (515) can reduce 267 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (785) ~ (all_0_27_27 = e4)
% 107.39/56.93 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (853), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (854) all_0_28_28 = e4
% 107.39/56.93 |
% 107.39/56.93 | Equations (854) can reduce 207 to:
% 107.39/56.93 | (1834) ~ (all_0_38_38 = e4)
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 1834 yields:
% 107.39/56.93 | (1835) ~ (all_0_38_38 = e4)
% 107.39/56.93 |
% 107.39/56.93 | Equations (854) can reduce 434 to:
% 107.39/56.93 | (56) ~ (e4 = e1)
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (1402), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (1490) all_0_20_20 = e1
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (1490,500) yields a new equation:
% 107.39/56.93 | (838) e4 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (838) can reduce 56 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (429) ~ (all_0_20_20 = e1)
% 107.39/56.93 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (333), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (1846) all_0_38_38 = e4
% 107.39/56.93 |
% 107.39/56.93 | Equations (1846) can reduce 1835 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (1835) ~ (all_0_38_38 = e4)
% 107.39/56.93 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (3213), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (3208) all_0_38_38 = e3
% 107.39/56.93 |
% 107.39/56.93 | Equations (3208) can reduce 210 to:
% 107.39/56.93 | (585) ~ (all_0_35_35 = e3)
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (944), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (8658) all_0_24_24 = e1
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (8658,488) yields a new equation:
% 107.39/56.93 | (530) e1 = e0
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 530 yields:
% 107.39/56.93 | (531) e1 = e0
% 107.39/56.93 |
% 107.39/56.93 | Equations (531) can reduce 40 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (432) ~ (all_0_24_24 = e1)
% 107.39/56.93 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (488) can reduce 432 to:
% 107.39/56.93 | (498) ~ (e1 = e0)
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 498 yields:
% 107.39/56.93 | (40) ~ (e1 = e0)
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (4931), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (4950) all_0_36_36 = e1
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (4950,534) yields a new equation:
% 107.39/56.93 | (530) e1 = e0
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 530 yields:
% 107.39/56.93 | (531) e1 = e0
% 107.39/56.93 |
% 107.39/56.93 | Equations (531) can reduce 40 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (423) ~ (all_0_36_36 = e1)
% 107.39/56.93 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (534) can reduce 423 to:
% 107.39/56.93 | (498) ~ (e1 = e0)
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 498 yields:
% 107.39/56.93 | (40) ~ (e1 = e0)
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (1494), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (1495) all_0_25_25 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (1495) can reduce 194 to:
% 107.39/56.93 | (3855) ~ (all_0_35_35 = e1)
% 107.39/56.93 |
% 107.39/56.93 | Simplifying 3855 yields:
% 107.39/56.93 | (1138) ~ (all_0_35_35 = e1)
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (727), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (728) all_0_35_35 = e3
% 107.39/56.93 |
% 107.39/56.93 | Equations (728) can reduce 585 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (585) ~ (all_0_35_35 = e3)
% 107.39/56.93 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (731), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (732) all_0_35_35 = e2
% 107.39/56.93 |
% 107.39/56.93 | Equations (732) can reduce 719 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (719) ~ (all_0_35_35 = e2)
% 107.39/56.93 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (735), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (761) all_0_35_35 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (761) can reduce 1138 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (1138) ~ (all_0_35_35 = e1)
% 107.39/56.93 | (1139) all_0_35_35 = e0
% 107.39/56.93 |
% 107.39/56.93 | Equations (1139) can reduce 536 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (1519) ~ (all_0_25_25 = e1)
% 107.39/56.93 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (1520), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (1521) all_0_30_30 = e1
% 107.39/56.93 |
% 107.39/56.93 | Combining equations (646,1521) yields a new equation:
% 107.39/56.93 | (531) e1 = e0
% 107.39/56.93 |
% 107.39/56.93 | Equations (531) can reduce 40 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (417) ~ (all_0_30_30 = e1)
% 107.39/56.93 | (761) all_0_35_35 = e1
% 107.39/56.93 |
% 107.39/56.93 | Equations (761) can reduce 1138 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (3095) ~ (all_0_38_38 = e3)
% 107.39/56.93 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.93 |
% 107.39/56.93 +-Applying beta-rule and splitting (3217), into two cases.
% 107.39/56.93 |-Branch one:
% 107.39/56.93 | (3218) all_0_38_38 = e2
% 107.39/56.93 |
% 107.39/56.93 | Equations (3218) can reduce 2728 to:
% 107.39/56.93 | (400) $false
% 107.39/56.93 |
% 107.39/56.93 |-The branch is then unsatisfiable
% 107.39/56.93 |-Branch two:
% 107.39/56.93 | (2728) ~ (all_0_38_38 = e2)
% 107.39/56.93 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.93 |
% 107.39/56.94 +-Applying beta-rule and splitting (3221), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (3222) all_0_38_38 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (3222) can reduce 438 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (438) ~ (all_0_38_38 = e1)
% 107.39/56.94 | (3225) all_0_38_38 = e0
% 107.39/56.94 |
% 107.39/56.94 | Equations (3225) can reduce 540 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (883) ~ (all_0_28_28 = e4)
% 107.39/56.94 | (941) all_0_29_29 = e4
% 107.39/56.94 |
% 107.39/56.94 | Equations (941) can reduce 603 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (817) ~ (all_0_17_17 = e1)
% 107.39/56.94 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (305), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (969) all_0_15_15 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (969,711) yields a new equation:
% 107.39/56.94 | (621) e2 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (621) can reduce 310 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (679) ~ (all_0_15_15 = e1)
% 107.39/56.94 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (711) can reduce 679 to:
% 107.39/56.94 | (310) ~ (e2 = e1)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (148), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (761) all_0_35_35 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (761) can reduce 194 to:
% 107.39/56.94 | (1519) ~ (all_0_25_25 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Equations (761) can reduce 210 to:
% 107.39/56.94 | (437) ~ (all_0_38_38 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 437 yields:
% 107.39/56.94 | (438) ~ (all_0_38_38 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Equations (761) can reduce 719 to:
% 107.39/56.94 | (766) ~ (e2 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 766 yields:
% 107.39/56.94 | (310) ~ (e2 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Equations (761) can reduce 536 to:
% 107.39/56.94 | (40) ~ (e1 = e0)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (333), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1846) all_0_38_38 = e4
% 107.39/56.94 |
% 107.39/56.94 | Equations (1846) can reduce 1835 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (1835) ~ (all_0_38_38 = e4)
% 107.39/56.94 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (3213), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (3208) all_0_38_38 = e3
% 107.39/56.94 |
% 107.39/56.94 | Equations (3208) can reduce 1835 to:
% 107.39/56.94 | (558) ~ (e4 = e3)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 558 yields:
% 107.39/56.94 | (255) ~ (e4 = e3)
% 107.39/56.94 |
% 107.39/56.94 | Equations (3208) can reduce 2728 to:
% 107.39/56.94 | (52) ~ (e3 = e2)
% 107.39/56.94 |
% 107.39/56.94 | Equations (3208) can reduce 438 to:
% 107.39/56.94 | (298) ~ (e3 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Equations (3208) can reduce 540 to:
% 107.39/56.94 | (80) ~ (e3 = e0)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (43), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1495) all_0_25_25 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (1495) can reduce 1519 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (1519) ~ (all_0_25_25 = e1)
% 107.39/56.94 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4556), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (4559) all_0_26_26 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (4559,471) yields a new equation:
% 107.39/56.94 | (621) e2 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (621) can reduce 310 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (416) ~ (all_0_26_26 = e1)
% 107.39/56.94 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (471) can reduce 416 to:
% 107.39/56.94 | (310) ~ (e2 = e1)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (1085), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1094) all_0_22_22 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (442,1094) yields a new equation:
% 107.39/56.94 | (620) e2 = e1
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 620 yields:
% 107.39/56.94 | (621) e2 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (621) can reduce 310 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (1098) ~ (all_0_22_22 = e1)
% 107.39/56.94 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (1099), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (816) all_0_27_27 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (995,816) yields a new equation:
% 107.39/56.94 | (531) e1 = e0
% 107.39/56.94 |
% 107.39/56.94 | Equations (531) can reduce 40 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (857) ~ (all_0_27_27 = e1)
% 107.39/56.94 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (995) can reduce 857 to:
% 107.39/56.94 | (498) ~ (e1 = e0)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 498 yields:
% 107.39/56.94 | (40) ~ (e1 = e0)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4563), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (816) all_0_27_27 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (995,816) yields a new equation:
% 107.39/56.94 | (531) e1 = e0
% 107.39/56.94 |
% 107.39/56.94 | Equations (531) can reduce 40 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (857) ~ (all_0_27_27 = e1)
% 107.39/56.94 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4568), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1122) all_0_28_28 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (1122) can reduce 434 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (434) ~ (all_0_28_28 = e1)
% 107.39/56.94 | (4599) all_0_29_29 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (4599) can reduce 174 to:
% 107.39/56.94 | (943) ~ (all_0_19_19 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Equations (4599) can reduce 603 to:
% 107.39/56.94 | (764) ~ (e4 = e1)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 764 yields:
% 107.39/56.94 | (56) ~ (e4 = e1)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (130), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1159) all_0_19_19 = e3
% 107.39/56.94 |
% 107.39/56.94 | Equations (1159) can reduce 943 to:
% 107.39/56.94 | (298) ~ (e3 = e1)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (1105), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1108) all_0_32_32 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (629,1108) yields a new equation:
% 107.39/56.94 | (1113) e3 = e1
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 1113 yields:
% 107.39/56.94 | (928) e3 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (928) can reduce 298 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (419) ~ (all_0_32_32 = e1)
% 107.39/56.94 | (1112) all_0_37_37 = e1
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (1112,847) yields a new equation:
% 107.39/56.94 | (838) e4 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (838) can reduce 56 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (1150) ~ (all_0_19_19 = e3)
% 107.39/56.94 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (316), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1250) ~ (all_0_39_39 = e2)
% 107.39/56.94 |
% 107.39/56.94 | Equations (705) can reduce 1250 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (705) all_0_39_39 = e2
% 107.39/56.94 | (8374) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (198), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (1297) all_0_15_15 = e3
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (1297,711) yields a new equation:
% 107.39/56.94 | (614) e3 = e2
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 614 yields:
% 107.39/56.94 | (615) e3 = e2
% 107.39/56.94 |
% 107.39/56.94 | Equations (615) can reduce 52 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (572) ~ (all_0_15_15 = e3)
% 107.39/56.94 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.39/56.94 |
% 107.39/56.94 | Equations (711) can reduce 572 to:
% 107.39/56.94 | (643) ~ (e3 = e2)
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 643 yields:
% 107.39/56.94 | (52) ~ (e3 = e2)
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4772), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (4773) all_0_24_24 = e3
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (4773,488) yields a new equation:
% 107.39/56.94 | (647) e3 = e0
% 107.39/56.94 |
% 107.39/56.94 | Simplifying 647 yields:
% 107.39/56.94 | (648) e3 = e0
% 107.39/56.94 |
% 107.39/56.94 | Equations (648) can reduce 80 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (1379) ~ (all_0_24_24 = e3)
% 107.39/56.94 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4777), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (3056) all_0_29_29 = e3
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (4599,3056) yields a new equation:
% 107.39/56.94 | (928) e3 = e1
% 107.39/56.94 |
% 107.39/56.94 | Equations (928) can reduce 298 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (3115) ~ (all_0_29_29 = e3)
% 107.39/56.94 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 107.39/56.94 |
% 107.39/56.94 +-Applying beta-rule and splitting (4794), into two cases.
% 107.39/56.94 |-Branch one:
% 107.39/56.94 | (2571) all_0_34_34 = e3
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (2571,601) yields a new equation:
% 107.39/56.94 | (597) e4 = e3
% 107.39/56.94 |
% 107.39/56.94 | Equations (597) can reduce 255 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.94 |-Branch two:
% 107.39/56.94 | (583) ~ (all_0_34_34 = e3)
% 107.39/56.94 | (701) all_0_39_39 = e3
% 107.39/56.94 |
% 107.39/56.94 | Combining equations (705,701) yields a new equation:
% 107.39/56.94 | (615) e3 = e2
% 107.39/56.94 |
% 107.39/56.94 | Equations (615) can reduce 52 to:
% 107.39/56.94 | (400) $false
% 107.39/56.94 |
% 107.39/56.94 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (3095) ~ (all_0_38_38 = e3)
% 107.39/56.95 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (3217), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (3218) all_0_38_38 = e2
% 107.39/56.95 |
% 107.39/56.95 | Equations (3218) can reduce 2728 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (2728) ~ (all_0_38_38 = e2)
% 107.39/56.95 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (3221), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (3222) all_0_38_38 = e1
% 107.39/56.95 |
% 107.39/56.95 | Equations (3222) can reduce 438 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (438) ~ (all_0_38_38 = e1)
% 107.39/56.95 | (3225) all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (3225) can reduce 540 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (1138) ~ (all_0_35_35 = e1)
% 107.39/56.95 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (4931), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (4950) all_0_36_36 = e1
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (534,4950) yields a new equation:
% 107.39/56.95 | (531) e1 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (531) can reduce 40 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (423) ~ (all_0_36_36 = e1)
% 107.39/56.95 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (4955), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (1112) all_0_37_37 = e1
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (1112,847) yields a new equation:
% 107.39/56.95 | (838) e4 = e1
% 107.39/56.95 |
% 107.39/56.95 | Equations (838) can reduce 56 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (763) ~ (all_0_37_37 = e1)
% 107.39/56.95 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (5023), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (3222) all_0_38_38 = e1
% 107.39/56.95 |
% 107.39/56.95 | Equations (3222) can reduce 438 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (438) ~ (all_0_38_38 = e1)
% 107.39/56.95 | (1252) all_0_39_39 = e1
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (1252,705) yields a new equation:
% 107.39/56.95 | (621) e2 = e1
% 107.39/56.95 |
% 107.39/56.95 | Equations (621) can reduce 310 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (1141) ~ (all_0_18_18 = e0)
% 107.39/56.95 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (1142), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (4698) all_0_23_23 = e0
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (427,4698) yields a new equation:
% 107.39/56.95 | (530) e1 = e0
% 107.39/56.95 |
% 107.39/56.95 | Simplifying 530 yields:
% 107.39/56.95 | (531) e1 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (531) can reduce 40 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (4702) ~ (all_0_23_23 = e0)
% 107.39/56.95 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (4703), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (1125) all_0_28_28 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (1125) can reduce 758 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (758) ~ (all_0_28_28 = e0)
% 107.39/56.95 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (4707), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (1463) all_0_33_33 = e0
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (637,1463) yields a new equation:
% 107.39/56.95 | (524) e2 = e0
% 107.39/56.95 |
% 107.39/56.95 | Simplifying 524 yields:
% 107.39/56.95 | (525) e2 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (525) can reduce 336 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (2612) ~ (all_0_33_33 = e0)
% 107.39/56.95 | (3225) all_0_38_38 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (3225) can reduce 540 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (660) ~ (all_0_27_27 = e0)
% 107.39/56.95 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 107.39/56.95 |
% 107.39/56.95 +-Applying beta-rule and splitting (4292), into two cases.
% 107.39/56.95 |-Branch one:
% 107.39/56.95 | (658) all_0_32_32 = e0
% 107.39/56.95 |
% 107.39/56.95 | Combining equations (629,658) yields a new equation:
% 107.39/56.95 | (647) e3 = e0
% 107.39/56.95 |
% 107.39/56.95 | Simplifying 647 yields:
% 107.39/56.95 | (648) e3 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (648) can reduce 80 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.95 |-Branch two:
% 107.39/56.95 | (889) ~ (all_0_32_32 = e0)
% 107.39/56.95 | (1136) all_0_37_37 = e0
% 107.39/56.95 |
% 107.39/56.95 | Equations (1136) can reduce 538 to:
% 107.39/56.95 | (400) $false
% 107.39/56.95 |
% 107.39/56.95 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (769) ~ (all_0_15_15 = e2)
% 107.39/56.96 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1235), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1236) all_0_16_16 = e2
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (1236,454) yields a new equation:
% 107.39/56.96 | (798) e4 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (798) can reduce 21 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1239) ~ (all_0_16_16 = e2)
% 107.39/56.96 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (454) can reduce 1239 to:
% 107.39/56.96 | (21) ~ (e4 = e2)
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (251), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1278), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1279), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1280), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1281), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1282), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1283), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1284), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1285), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1286), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1287), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1288), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1289), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1290), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1291), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1292), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1293), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1294), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 107.39/56.96 |
% 107.39/56.96 +-Applying beta-rule and splitting (1295), into two cases.
% 107.39/56.96 |-Branch one:
% 107.39/56.96 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1296) yields:
% 107.39/56.96 | (1297) all_0_15_15 = e3
% 107.39/56.96 | (550) all_0_21_21 = e4
% 107.39/56.96 | (1299) ~ (all_0_16_16 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (557,550) yields a new equation:
% 107.39/56.96 | (597) e4 = e3
% 107.39/56.96 |
% 107.39/56.96 | Equations (597) can reduce 255 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1303) yields:
% 107.39/56.96 | (1297) all_0_15_15 = e3
% 107.39/56.96 | (550) all_0_21_21 = e4
% 107.39/56.96 | (1306) ~ (all_0_20_20 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (557,550) yields a new equation:
% 107.39/56.96 | (597) e4 = e3
% 107.39/56.96 |
% 107.39/56.96 | Equations (597) can reduce 255 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1310) yields:
% 107.39/56.96 | (711) all_0_15_15 = e2
% 107.39/56.96 | (804) all_0_27_27 = e4
% 107.39/56.96 | (456) ~ (all_0_17_17 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Equations (711) can reduce 769 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1315) yields:
% 107.39/56.96 | (711) all_0_15_15 = e2
% 107.39/56.96 | (804) all_0_27_27 = e4
% 107.39/56.96 | (473) ~ (all_0_25_25 = e2)
% 107.39/56.96 |
% 107.39/56.96 | Equations (711) can reduce 769 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1320) yields:
% 107.39/56.96 | (969) all_0_15_15 = e1
% 107.39/56.96 | (1322) all_0_33_33 = e4
% 107.39/56.96 | (458) ~ (all_0_18_18 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (637,1322) yields a new equation:
% 107.39/56.96 | (798) e4 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (798) can reduce 21 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1326) yields:
% 107.39/56.96 | (969) all_0_15_15 = e1
% 107.39/56.96 | (1322) all_0_33_33 = e4
% 107.39/56.96 | (417) ~ (all_0_30_30 = e1)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (637,1322) yields a new equation:
% 107.39/56.96 | (798) e4 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (798) can reduce 21 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1332) yields:
% 107.39/56.96 | (736) all_0_15_15 = e0
% 107.39/56.96 | (697) all_0_39_39 = e4
% 107.39/56.96 | (460) ~ (all_0_19_19 = e4)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (705,697) yields a new equation:
% 107.39/56.96 | (798) e4 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (798) can reduce 21 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1339) yields:
% 107.39/56.96 | (736) all_0_15_15 = e0
% 107.39/56.96 | (697) all_0_39_39 = e4
% 107.39/56.96 | (536) ~ (all_0_35_35 = e0)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (705,697) yields a new equation:
% 107.39/56.96 | (798) e4 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (798) can reduce 21 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1346) yields:
% 107.39/56.96 | (1347) all_0_21_21 = e2
% 107.39/56.96 | (808) all_0_27_27 = e3
% 107.39/56.96 | (925) ~ (all_0_22_22 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (1347,557) yields a new equation:
% 107.39/56.96 | (615) e3 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (615) can reduce 52 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1352) yields:
% 107.39/56.96 | (1347) all_0_21_21 = e2
% 107.39/56.96 | (808) all_0_27_27 = e3
% 107.39/56.96 | (1355) ~ (all_0_26_26 = e2)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (1347,557) yields a new equation:
% 107.39/56.96 | (615) e3 = e2
% 107.39/56.96 |
% 107.39/56.96 | Equations (615) can reduce 52 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Applying alpha-rule on (1358) yields:
% 107.39/56.96 | (1359) all_0_21_21 = e1
% 107.39/56.96 | (1360) all_0_33_33 = e3
% 107.39/56.96 | (1361) ~ (all_0_23_23 = e3)
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (1359,557) yields a new equation:
% 107.39/56.96 | (928) e3 = e1
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (637,1360) yields a new equation:
% 107.39/56.96 | (615) e3 = e2
% 107.39/56.96 |
% 107.39/56.96 | Combining equations (615,928) yields a new equation:
% 107.39/56.96 | (620) e2 = e1
% 107.39/56.96 |
% 107.39/56.96 | Simplifying 620 yields:
% 107.39/56.96 | (621) e2 = e1
% 107.39/56.96 |
% 107.39/56.96 | Equations (621) can reduce 310 to:
% 107.39/56.96 | (400) $false
% 107.39/56.96 |
% 107.39/56.96 |-The branch is then unsatisfiable
% 107.39/56.96 |-Branch two:
% 107.39/56.96 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1367) yields:
% 107.39/56.97 | (1359) all_0_21_21 = e1
% 107.39/56.97 | (1360) all_0_33_33 = e3
% 107.39/56.97 | (1370) ~ (all_0_31_31 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (1359,557) yields a new equation:
% 107.39/56.97 | (928) e3 = e1
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (637,1360) yields a new equation:
% 107.39/56.97 | (615) e3 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (615,928) yields a new equation:
% 107.39/56.97 | (620) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 620 yields:
% 107.39/56.97 | (621) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Equations (621) can reduce 310 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1376) yields:
% 107.39/56.97 | (519) all_0_21_21 = e0
% 107.39/56.97 | (701) all_0_39_39 = e3
% 107.39/56.97 | (1379) ~ (all_0_24_24 = e3)
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (519,557) yields a new equation:
% 107.39/56.97 | (648) e3 = e0
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (705,701) yields a new equation:
% 107.39/56.97 | (615) e3 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (615,648) yields a new equation:
% 107.39/56.97 | (524) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 524 yields:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (525) can reduce 336 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1385) yields:
% 107.39/56.97 | (519) all_0_21_21 = e0
% 107.39/56.97 | (701) all_0_39_39 = e3
% 107.39/56.97 | (1388) ~ (all_0_36_36 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (519,557) yields a new equation:
% 107.39/56.97 | (648) e3 = e0
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (705,701) yields a new equation:
% 107.39/56.97 | (615) e3 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (615,648) yields a new equation:
% 107.39/56.97 | (524) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 524 yields:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (525) can reduce 336 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1394) yields:
% 107.39/56.97 | (816) all_0_27_27 = e1
% 107.39/56.97 | (637) all_0_33_33 = e2
% 107.39/56.97 | (477) ~ (all_0_28_28 = e2)
% 107.39/56.97 |
% 107.39/56.97 | Equations (816) can reduce 857 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1421) yields:
% 107.39/56.97 | (816) all_0_27_27 = e1
% 107.39/56.97 | (637) all_0_33_33 = e2
% 107.39/56.97 | (419) ~ (all_0_32_32 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Equations (816) can reduce 857 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1448) yields:
% 107.39/56.97 | (995) all_0_27_27 = e0
% 107.39/56.97 | (705) all_0_39_39 = e2
% 107.39/56.97 | (479) ~ (all_0_29_29 = e2)
% 107.39/56.97 |
% 107.39/56.97 | Equations (995) can reduce 475 to:
% 107.39/56.97 | (496) ~ (e2 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 496 yields:
% 107.39/56.97 | (336) ~ (e2 = e0)
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (179), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (711) all_0_15_15 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (711) can reduce 769 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (769) ~ (all_0_15_15 = e2)
% 107.39/56.97 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1529), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1530) all_0_20_20 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (1530,500) yields a new equation:
% 107.39/56.97 | (798) e4 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (798) can reduce 21 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (444) ~ (all_0_20_20 = e2)
% 107.39/56.97 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1535), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1536) all_0_25_25 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (1536) can reduce 473 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (473) ~ (all_0_25_25 = e2)
% 107.39/56.97 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1539), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (613) all_0_30_30 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (646,613) yields a new equation:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (525) can reduce 336 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (617) ~ (all_0_30_30 = e2)
% 107.39/56.97 | (732) all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (732) can reduce 719 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1455) yields:
% 107.39/56.97 | (995) all_0_27_27 = e0
% 107.39/56.97 | (705) all_0_39_39 = e2
% 107.39/56.97 | (538) ~ (all_0_37_37 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Equations (995) can reduce 475 to:
% 107.39/56.97 | (496) ~ (e2 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 496 yields:
% 107.39/56.97 | (336) ~ (e2 = e0)
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (179), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (711) all_0_15_15 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (711) can reduce 769 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (769) ~ (all_0_15_15 = e2)
% 107.39/56.97 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1529), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1530) all_0_20_20 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (1530,500) yields a new equation:
% 107.39/56.97 | (798) e4 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (798) can reduce 21 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (444) ~ (all_0_20_20 = e2)
% 107.39/56.97 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1535), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1536) all_0_25_25 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (1536) can reduce 473 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (473) ~ (all_0_25_25 = e2)
% 107.39/56.97 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1539), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (613) all_0_30_30 = e2
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (646,613) yields a new equation:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (525) can reduce 336 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (617) ~ (all_0_30_30 = e2)
% 107.39/56.97 | (732) all_0_35_35 = e2
% 107.39/56.97 |
% 107.39/56.97 | Equations (732) can reduce 719 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1462) yields:
% 107.39/56.97 | (1463) all_0_33_33 = e0
% 107.39/56.97 | (1252) all_0_39_39 = e1
% 107.39/56.97 | (421) ~ (all_0_34_34 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (1463,637) yields a new equation:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (705,1252) yields a new equation:
% 107.39/56.97 | (620) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 620 yields:
% 107.39/56.97 | (621) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (621,525) yields a new equation:
% 107.39/56.97 | (530) e1 = e0
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 530 yields:
% 107.39/56.97 | (531) e1 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (531) can reduce 40 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Applying alpha-rule on (1469) yields:
% 107.39/56.97 | (1463) all_0_33_33 = e0
% 107.39/56.97 | (1252) all_0_39_39 = e1
% 107.39/56.97 | (540) ~ (all_0_38_38 = e0)
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (1463,637) yields a new equation:
% 107.39/56.97 | (525) e2 = e0
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (705,1252) yields a new equation:
% 107.39/56.97 | (620) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 620 yields:
% 107.39/56.97 | (621) e2 = e1
% 107.39/56.97 |
% 107.39/56.97 | Combining equations (621,525) yields a new equation:
% 107.39/56.97 | (530) e1 = e0
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 530 yields:
% 107.39/56.97 | (531) e1 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (531) can reduce 40 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1250) ~ (all_0_39_39 = e2)
% 107.39/56.97 | (1251) all_0_39_39 = e1 | all_0_39_39 = e0
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1251), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1252) all_0_39_39 = e1
% 107.39/56.97 |
% 107.39/56.97 | Equations (1252) can reduce 696 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (696) ~ (all_0_39_39 = e1)
% 107.39/56.97 | (1255) all_0_39_39 = e0
% 107.39/56.97 |
% 107.39/56.97 | Equations (1255) can reduce 542 to:
% 107.39/56.97 | (400) $false
% 107.39/56.97 |
% 107.39/56.97 |-The branch is then unsatisfiable
% 107.39/56.97 |-Branch two:
% 107.39/56.97 | (1252) all_0_39_39 = e1
% 107.39/56.97 | (1258) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e2)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 107.39/56.97 |
% 107.39/56.97 | Equations (1252) can reduce 607 to:
% 107.39/56.97 | (764) ~ (e4 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Simplifying 764 yields:
% 107.39/56.97 | (56) ~ (e4 = e1)
% 107.39/56.97 |
% 107.39/56.97 | Equations (1252) can reduce 542 to:
% 107.39/56.97 | (40) ~ (e1 = e0)
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (251), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1278), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1279), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1280), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1281), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1282), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1283), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 107.39/56.97 |
% 107.39/56.97 +-Applying beta-rule and splitting (1284), into two cases.
% 107.39/56.97 |-Branch one:
% 107.39/56.97 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1285), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1286), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1287), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1288), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1289), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1290), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1291), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1292), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1293), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1294), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (1295), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 107.39/56.98 |
% 107.39/56.98 | Applying alpha-rule on (1296) yields:
% 107.39/56.98 | (1297) all_0_15_15 = e3
% 107.39/56.98 | (550) all_0_21_21 = e4
% 107.39/56.98 | (1299) ~ (all_0_16_16 = e4)
% 107.39/56.98 |
% 107.39/56.98 | Combining equations (557,550) yields a new equation:
% 107.39/56.98 | (597) e4 = e3
% 107.39/56.98 |
% 107.39/56.98 | Equations (597) can reduce 255 to:
% 107.39/56.98 | (400) $false
% 107.39/56.98 |
% 107.39/56.98 |-The branch is then unsatisfiable
% 107.39/56.98 |-Branch two:
% 107.39/56.98 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 107.39/56.98 |
% 107.39/56.98 | Applying alpha-rule on (1303) yields:
% 107.39/56.98 | (1297) all_0_15_15 = e3
% 107.39/56.98 | (550) all_0_21_21 = e4
% 107.39/56.98 | (1306) ~ (all_0_20_20 = e3)
% 107.39/56.98 |
% 107.39/56.98 | Combining equations (557,550) yields a new equation:
% 107.39/56.98 | (597) e4 = e3
% 107.39/56.98 |
% 107.39/56.98 | Equations (597) can reduce 255 to:
% 107.39/56.98 | (400) $false
% 107.39/56.98 |
% 107.39/56.98 |-The branch is then unsatisfiable
% 107.39/56.98 |-Branch two:
% 107.39/56.98 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 107.39/56.98 |
% 107.39/56.98 | Applying alpha-rule on (1310) yields:
% 107.39/56.98 | (711) all_0_15_15 = e2
% 107.39/56.98 | (804) all_0_27_27 = e4
% 107.39/56.98 | (456) ~ (all_0_17_17 = e4)
% 107.39/56.98 |
% 107.39/56.98 | Equations (711) can reduce 39 to:
% 107.39/56.98 | (718) ~ (all_0_35_35 = e2)
% 107.39/56.98 |
% 107.39/56.98 | Simplifying 718 yields:
% 107.39/56.98 | (719) ~ (all_0_35_35 = e2)
% 107.39/56.98 |
% 107.39/56.98 | Equations (711) can reduce 739 to:
% 107.39/56.98 | (336) ~ (e2 = e0)
% 107.39/56.98 |
% 107.39/56.98 +-Applying beta-rule and splitting (121), into two cases.
% 107.39/56.98 |-Branch one:
% 107.39/56.98 | (732) all_0_35_35 = e2
% 107.39/56.98 |
% 107.39/56.98 | Equations (732) can reduce 719 to:
% 107.39/56.98 | (400) $false
% 107.39/56.98 |
% 107.39/56.98 |-The branch is then unsatisfiable
% 107.39/56.98 |-Branch two:
% 107.39/56.98 | (719) ~ (all_0_35_35 = e2)
% 107.39/56.98 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (1477), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (1478) all_0_36_36 = e2
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (534,1478) yields a new equation:
% 107.51/56.98 | (525) e2 = e0
% 107.51/56.98 |
% 107.51/56.98 | Equations (525) can reduce 336 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (481) ~ (all_0_36_36 = e2)
% 107.51/56.98 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (1482), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (1129) all_0_37_37 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (1129) can reduce 450 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (450) ~ (all_0_37_37 = e2)
% 107.51/56.98 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (4528), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (3218) all_0_38_38 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (3218) can reduce 2728 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (2728) ~ (all_0_38_38 = e2)
% 107.51/56.98 | (705) all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (705,1252) yields a new equation:
% 107.51/56.98 | (620) e2 = e1
% 107.51/56.98 |
% 107.51/56.98 | Simplifying 620 yields:
% 107.51/56.98 | (621) e2 = e1
% 107.51/56.98 |
% 107.51/56.98 | Equations (621) can reduce 310 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1315) yields:
% 107.51/56.98 | (711) all_0_15_15 = e2
% 107.51/56.98 | (804) all_0_27_27 = e4
% 107.51/56.98 | (473) ~ (all_0_25_25 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Equations (711) can reduce 39 to:
% 107.51/56.98 | (718) ~ (all_0_35_35 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Simplifying 718 yields:
% 107.51/56.98 | (719) ~ (all_0_35_35 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Equations (711) can reduce 739 to:
% 107.51/56.98 | (336) ~ (e2 = e0)
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (121), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (732) all_0_35_35 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (732) can reduce 719 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (719) ~ (all_0_35_35 = e2)
% 107.51/56.98 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (1477), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (1478) all_0_36_36 = e2
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (534,1478) yields a new equation:
% 107.51/56.98 | (525) e2 = e0
% 107.51/56.98 |
% 107.51/56.98 | Equations (525) can reduce 336 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (481) ~ (all_0_36_36 = e2)
% 107.51/56.98 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (1482), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (1129) all_0_37_37 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (1129) can reduce 450 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (450) ~ (all_0_37_37 = e2)
% 107.51/56.98 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 +-Applying beta-rule and splitting (4528), into two cases.
% 107.51/56.98 |-Branch one:
% 107.51/56.98 | (3218) all_0_38_38 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (3218) can reduce 2728 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (2728) ~ (all_0_38_38 = e2)
% 107.51/56.98 | (705) all_0_39_39 = e2
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (705,1252) yields a new equation:
% 107.51/56.98 | (620) e2 = e1
% 107.51/56.98 |
% 107.51/56.98 | Simplifying 620 yields:
% 107.51/56.98 | (621) e2 = e1
% 107.51/56.98 |
% 107.51/56.98 | Equations (621) can reduce 310 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1320) yields:
% 107.51/56.98 | (969) all_0_15_15 = e1
% 107.51/56.98 | (1322) all_0_33_33 = e4
% 107.51/56.98 | (458) ~ (all_0_18_18 = e4)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (637,1322) yields a new equation:
% 107.51/56.98 | (798) e4 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (798) can reduce 21 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1326) yields:
% 107.51/56.98 | (969) all_0_15_15 = e1
% 107.51/56.98 | (1322) all_0_33_33 = e4
% 107.51/56.98 | (417) ~ (all_0_30_30 = e1)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (637,1322) yields a new equation:
% 107.51/56.98 | (798) e4 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (798) can reduce 21 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1332) yields:
% 107.51/56.98 | (736) all_0_15_15 = e0
% 107.51/56.98 | (697) all_0_39_39 = e4
% 107.51/56.98 | (460) ~ (all_0_19_19 = e4)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (1252,697) yields a new equation:
% 107.51/56.98 | (838) e4 = e1
% 107.51/56.98 |
% 107.51/56.98 | Equations (838) can reduce 56 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1339) yields:
% 107.51/56.98 | (736) all_0_15_15 = e0
% 107.51/56.98 | (697) all_0_39_39 = e4
% 107.51/56.98 | (536) ~ (all_0_35_35 = e0)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (1252,697) yields a new equation:
% 107.51/56.98 | (838) e4 = e1
% 107.51/56.98 |
% 107.51/56.98 | Equations (838) can reduce 56 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1346) yields:
% 107.51/56.98 | (1347) all_0_21_21 = e2
% 107.51/56.98 | (808) all_0_27_27 = e3
% 107.51/56.98 | (925) ~ (all_0_22_22 = e3)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (1347,557) yields a new equation:
% 107.51/56.98 | (615) e3 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (615) can reduce 52 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1352) yields:
% 107.51/56.98 | (1347) all_0_21_21 = e2
% 107.51/56.98 | (808) all_0_27_27 = e3
% 107.51/56.98 | (1355) ~ (all_0_26_26 = e2)
% 107.51/56.98 |
% 107.51/56.98 | Combining equations (1347,557) yields a new equation:
% 107.51/56.98 | (615) e3 = e2
% 107.51/56.98 |
% 107.51/56.98 | Equations (615) can reduce 52 to:
% 107.51/56.98 | (400) $false
% 107.51/56.98 |
% 107.51/56.98 |-The branch is then unsatisfiable
% 107.51/56.98 |-Branch two:
% 107.51/56.98 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 107.51/56.98 |
% 107.51/56.98 | Applying alpha-rule on (1358) yields:
% 107.51/56.98 | (1359) all_0_21_21 = e1
% 107.51/56.99 | (1360) all_0_33_33 = e3
% 107.51/56.99 | (1361) ~ (all_0_23_23 = e3)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1359,557) yields a new equation:
% 107.51/56.99 | (928) e3 = e1
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (637,1360) yields a new equation:
% 107.51/56.99 | (615) e3 = e2
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (615,928) yields a new equation:
% 107.51/56.99 | (620) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 620 yields:
% 107.51/56.99 | (621) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (621) can reduce 310 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1367) yields:
% 107.51/56.99 | (1359) all_0_21_21 = e1
% 107.51/56.99 | (1360) all_0_33_33 = e3
% 107.51/56.99 | (1370) ~ (all_0_31_31 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1359,557) yields a new equation:
% 107.51/56.99 | (928) e3 = e1
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (637,1360) yields a new equation:
% 107.51/56.99 | (615) e3 = e2
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (615,928) yields a new equation:
% 107.51/56.99 | (620) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 620 yields:
% 107.51/56.99 | (621) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (621) can reduce 310 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1376) yields:
% 107.51/56.99 | (519) all_0_21_21 = e0
% 107.51/56.99 | (701) all_0_39_39 = e3
% 107.51/56.99 | (1379) ~ (all_0_24_24 = e3)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (519,557) yields a new equation:
% 107.51/56.99 | (648) e3 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1252,701) yields a new equation:
% 107.51/56.99 | (928) e3 = e1
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (928,648) yields a new equation:
% 107.51/56.99 | (530) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 530 yields:
% 107.51/56.99 | (531) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (531) can reduce 40 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1385) yields:
% 107.51/56.99 | (519) all_0_21_21 = e0
% 107.51/56.99 | (701) all_0_39_39 = e3
% 107.51/56.99 | (1388) ~ (all_0_36_36 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (519,557) yields a new equation:
% 107.51/56.99 | (648) e3 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1252,701) yields a new equation:
% 107.51/56.99 | (928) e3 = e1
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (928,648) yields a new equation:
% 107.51/56.99 | (530) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 530 yields:
% 107.51/56.99 | (531) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (531) can reduce 40 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1394) yields:
% 107.51/56.99 | (816) all_0_27_27 = e1
% 107.51/56.99 | (637) all_0_33_33 = e2
% 107.51/56.99 | (477) ~ (all_0_28_28 = e2)
% 107.51/56.99 |
% 107.51/56.99 | Equations (816) can reduce 857 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1421) yields:
% 107.51/56.99 | (816) all_0_27_27 = e1
% 107.51/56.99 | (637) all_0_33_33 = e2
% 107.51/56.99 | (419) ~ (all_0_32_32 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Equations (816) can reduce 857 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1448) yields:
% 107.51/56.99 | (995) all_0_27_27 = e0
% 107.51/56.99 | (705) all_0_39_39 = e2
% 107.51/56.99 | (479) ~ (all_0_29_29 = e2)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (705,1252) yields a new equation:
% 107.51/56.99 | (620) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 620 yields:
% 107.51/56.99 | (621) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (621) can reduce 310 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1455) yields:
% 107.51/56.99 | (995) all_0_27_27 = e0
% 107.51/56.99 | (705) all_0_39_39 = e2
% 107.51/56.99 | (538) ~ (all_0_37_37 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (705,1252) yields a new equation:
% 107.51/56.99 | (620) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 620 yields:
% 107.51/56.99 | (621) e2 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (621) can reduce 310 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1462) yields:
% 107.51/56.99 | (1463) all_0_33_33 = e0
% 107.51/56.99 | (1252) all_0_39_39 = e1
% 107.51/56.99 | (421) ~ (all_0_34_34 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1463,637) yields a new equation:
% 107.51/56.99 | (525) e2 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (525) can reduce 336 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Applying alpha-rule on (1469) yields:
% 107.51/56.99 | (1463) all_0_33_33 = e0
% 107.51/56.99 | (1252) all_0_39_39 = e1
% 107.51/56.99 | (540) ~ (all_0_38_38 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1463,637) yields a new equation:
% 107.51/56.99 | (525) e2 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (525) can reduce 336 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (650) ~ (all_0_30_30 = e0)
% 107.51/56.99 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (651), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (529) all_0_31_31 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (414,529) yields a new equation:
% 107.51/56.99 | (530) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 530 yields:
% 107.51/56.99 | (531) e1 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (531) can reduce 40 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (533) ~ (all_0_31_31 = e0)
% 107.51/56.99 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (657), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (658) all_0_32_32 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (629,658) yields a new equation:
% 107.51/56.99 | (647) e3 = e0
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 647 yields:
% 107.51/56.99 | (648) e3 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (648) can reduce 80 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (889) ~ (all_0_32_32 = e0)
% 107.51/56.99 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (2544), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (1463) all_0_33_33 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (1463,637) yields a new equation:
% 107.51/56.99 | (525) e2 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (525) can reduce 336 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (2612) ~ (all_0_33_33 = e0)
% 107.51/56.99 | (4345) all_0_34_34 = e0
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (4345,601) yields a new equation:
% 107.51/56.99 | (515) e4 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (515) can reduce 267 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (816) all_0_27_27 = e1
% 107.51/56.99 | (9297) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 107.51/56.99 |
% 107.51/56.99 | Equations (816) can reduce 226 to:
% 107.51/56.99 | (817) ~ (all_0_17_17 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Equations (816) can reduce 53 to:
% 107.51/56.99 | (5048) ~ (all_0_29_29 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 5048 yields:
% 107.51/56.99 | (2946) ~ (all_0_29_29 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Equations (816) can reduce 167 to:
% 107.51/56.99 | (762) ~ (all_0_37_37 = e1)
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 762 yields:
% 107.51/56.99 | (763) ~ (all_0_37_37 = e1)
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (241), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (793) all_0_17_17 = e4
% 107.51/56.99 |
% 107.51/56.99 | Equations (793) can reduce 456 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (456) ~ (all_0_17_17 = e4)
% 107.51/56.99 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (55), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (590) all_0_25_25 = e4
% 107.51/56.99 |
% 107.51/56.99 | Equations (590) can reduce 505 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (505) ~ (all_0_25_25 = e4)
% 107.51/56.99 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (1172), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (855) all_0_17_17 = e3
% 107.51/56.99 |
% 107.51/56.99 | Equations (855) can reduce 919 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (919) ~ (all_0_17_17 = e3)
% 107.51/56.99 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (1176), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (1177) all_0_17_17 = e2
% 107.51/56.99 |
% 107.51/56.99 | Equations (1177) can reduce 396 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (396) ~ (all_0_17_17 = e2)
% 107.51/56.99 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (1180), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (980) all_0_17_17 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (980) can reduce 817 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (817) ~ (all_0_17_17 = e1)
% 107.51/56.99 | (1184) all_0_17_17 = e0
% 107.51/56.99 |
% 107.51/56.99 | Equations (1184) can reduce 456 to:
% 107.51/56.99 | (543) ~ (e4 = e0)
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 543 yields:
% 107.51/56.99 | (267) ~ (e4 = e0)
% 107.51/56.99 |
% 107.51/56.99 | From (1184) and (313) follows:
% 107.51/56.99 | (9325) op(e4, e2) = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (790), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (832) all_0_26_26 = e4
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (471,832) yields a new equation:
% 107.51/56.99 | (798) e4 = e2
% 107.51/56.99 |
% 107.51/56.99 | Equations (798) can reduce 21 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (464) ~ (all_0_26_26 = e4)
% 107.51/56.99 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.51/56.99 |
% 107.51/56.99 | Equations (471) can reduce 464 to:
% 107.51/56.99 | (482) ~ (e4 = e2)
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 482 yields:
% 107.51/56.99 | (21) ~ (e4 = e2)
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (88), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (941) all_0_29_29 = e4
% 107.51/56.99 |
% 107.51/56.99 | Equations (941) can reduce 603 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/56.99 | (603) ~ (all_0_29_29 = e4)
% 107.51/56.99 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (5059), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (3056) all_0_29_29 = e3
% 107.51/56.99 |
% 107.51/56.99 | Equations (3056) can reduce 603 to:
% 107.51/56.99 | (558) ~ (e4 = e3)
% 107.51/56.99 |
% 107.51/56.99 | Simplifying 558 yields:
% 107.51/56.99 | (255) ~ (e4 = e3)
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (59), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (847) all_0_37_37 = e4
% 107.51/56.99 |
% 107.51/56.99 | Equations (847) can reduce 1127 to:
% 107.51/56.99 | (255) ~ (e4 = e3)
% 107.51/56.99 |
% 107.51/56.99 | Equations (847) can reduce 763 to:
% 107.51/56.99 | (56) ~ (e4 = e1)
% 107.51/56.99 |
% 107.51/56.99 +-Applying beta-rule and splitting (836), into two cases.
% 107.51/56.99 |-Branch one:
% 107.51/56.99 | (804) all_0_27_27 = e4
% 107.51/56.99 |
% 107.51/56.99 | Combining equations (816,804) yields a new equation:
% 107.51/56.99 | (838) e4 = e1
% 107.51/56.99 |
% 107.51/56.99 | Equations (838) can reduce 56 to:
% 107.51/56.99 | (400) $false
% 107.51/56.99 |
% 107.51/56.99 |-The branch is then unsatisfiable
% 107.51/56.99 |-Branch two:
% 107.51/57.00 | (785) ~ (all_0_27_27 = e4)
% 107.51/57.00 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 107.51/57.00 |
% 107.51/57.00 | Equations (816) can reduce 785 to:
% 107.51/57.00 | (764) ~ (e4 = e1)
% 107.51/57.00 |
% 107.51/57.00 | Simplifying 764 yields:
% 107.51/57.00 | (56) ~ (e4 = e1)
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (1012), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (1022) all_0_23_23 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (427,1022) yields a new equation:
% 107.51/57.00 | (838) e4 = e1
% 107.51/57.00 |
% 107.51/57.00 | Equations (838) can reduce 56 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (1025) ~ (all_0_23_23 = e4)
% 107.51/57.00 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (1026), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (854) all_0_28_28 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (177), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (857) ~ (all_0_27_27 = e1)
% 107.51/57.00 |
% 107.51/57.00 | Equations (816) can reduce 857 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (816) all_0_27_27 = e1
% 107.51/57.00 | (9359) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (9359), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (9360) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4))
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (9360), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (9361) all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6
% 107.51/57.00 |
% 107.51/57.00 | Applying alpha-rule on (9361) yields:
% 107.51/57.00 | (867) all_0_7_7 = all_0_28_28
% 107.51/57.00 | (9363) ~ (all_0_6_6 = e0)
% 107.51/57.00 | (869) op(all_0_28_28, e2) = all_0_6_6
% 107.51/57.00 |
% 107.51/57.00 | From (854) and (869) follows:
% 107.51/57.00 | (878) op(e4, e2) = all_0_6_6
% 107.51/57.00 |
% 107.51/57.00 | Instantiating formula (29) with e4, e2, e0, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e0, yields:
% 107.51/57.00 | (9366) all_0_6_6 = e0
% 107.51/57.00 |
% 107.51/57.00 | Equations (9366) can reduce 9363 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (881) all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)
% 107.51/57.00 |
% 107.51/57.00 | Applying alpha-rule on (881) yields:
% 107.51/57.00 | (867) all_0_7_7 = all_0_28_28
% 107.51/57.00 | (883) ~ (all_0_28_28 = e4)
% 107.51/57.00 |
% 107.51/57.00 | Equations (854) can reduce 883 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (9372) all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3)
% 107.51/57.00 |
% 107.51/57.00 | Applying alpha-rule on (9372) yields:
% 107.51/57.00 | (888) all_0_8_8 = all_0_32_32
% 107.51/57.00 | (579) ~ (all_0_32_32 = e3)
% 107.51/57.00 |
% 107.51/57.00 | Equations (629) can reduce 579 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (883) ~ (all_0_28_28 = e4)
% 107.51/57.00 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (853), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (854) all_0_28_28 = e4
% 107.51/57.00 |
% 107.51/57.00 | Equations (854) can reduce 883 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (883) ~ (all_0_28_28 = e4)
% 107.51/57.00 | (941) all_0_29_29 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (941,3056) yields a new equation:
% 107.51/57.00 | (596) e4 = e3
% 107.51/57.00 |
% 107.51/57.00 | Simplifying 596 yields:
% 107.51/57.00 | (597) e4 = e3
% 107.51/57.00 |
% 107.51/57.00 | Equations (597) can reduce 255 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (1002) ~ (all_0_37_37 = e4)
% 107.51/57.00 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (51), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (793) all_0_17_17 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (793,1184) yields a new equation:
% 107.51/57.00 | (743) e4 = e0
% 107.51/57.00 |
% 107.51/57.00 | Simplifying 743 yields:
% 107.51/57.00 | (515) e4 = e0
% 107.51/57.00 |
% 107.51/57.00 | Equations (515) can reduce 267 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (456) ~ (all_0_17_17 = e4)
% 107.51/57.00 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (796), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (797) all_0_22_22 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (797,442) yields a new equation:
% 107.51/57.00 | (1531) e4 = e2
% 107.51/57.00 |
% 107.51/57.00 | Simplifying 1531 yields:
% 107.51/57.00 | (798) e4 = e2
% 107.51/57.00 |
% 107.51/57.00 | Equations (798) can reduce 21 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (800) ~ (all_0_22_22 = e4)
% 107.51/57.00 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (801), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (804) all_0_27_27 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (804,816) yields a new equation:
% 107.51/57.00 | (975) e4 = e1
% 107.51/57.00 |
% 107.51/57.00 | Simplifying 975 yields:
% 107.51/57.00 | (838) e4 = e1
% 107.51/57.00 |
% 107.51/57.00 | Equations (838) can reduce 56 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (785) ~ (all_0_27_27 = e4)
% 107.51/57.00 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (841), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (609) all_0_32_32 = e4
% 107.51/57.00 |
% 107.51/57.00 | Combining equations (629,609) yields a new equation:
% 107.51/57.00 | (597) e4 = e3
% 107.51/57.00 |
% 107.51/57.00 | Equations (597) can reduce 255 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (604) ~ (all_0_32_32 = e4)
% 107.51/57.00 | (847) all_0_37_37 = e4
% 107.51/57.00 |
% 107.51/57.00 | Equations (847) can reduce 1002 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (3115) ~ (all_0_29_29 = e3)
% 107.51/57.00 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (5198), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (5199) all_0_29_29 = e2
% 107.51/57.00 |
% 107.51/57.00 | Equations (5199) can reduce 479 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (479) ~ (all_0_29_29 = e2)
% 107.51/57.00 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 107.51/57.00 |
% 107.51/57.00 +-Applying beta-rule and splitting (5202), into two cases.
% 107.51/57.00 |-Branch one:
% 107.51/57.00 | (4599) all_0_29_29 = e1
% 107.51/57.00 |
% 107.51/57.00 | Equations (4599) can reduce 2946 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.00 |-Branch two:
% 107.51/57.00 | (2946) ~ (all_0_29_29 = e1)
% 107.51/57.00 | (5206) all_0_29_29 = e0
% 107.51/57.00 |
% 107.51/57.00 | Equations (5206) can reduce 493 to:
% 107.51/57.00 | (400) $false
% 107.51/57.00 |
% 107.51/57.00 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (579) ~ (all_0_32_32 = e3)
% 107.51/57.01 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (9423), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1360) all_0_33_33 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (1360) can reduce 574 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (574) ~ (all_0_33_33 = e3)
% 107.51/57.01 | (2571) all_0_34_34 = e3
% 107.51/57.01 |
% 107.51/57.01 | Combining equations (601,2571) yields a new equation:
% 107.51/57.01 | (596) e4 = e3
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 596 yields:
% 107.51/57.01 | (597) e4 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (597) can reduce 255 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (2554) ~ (all_0_34_34 = e4)
% 107.51/57.01 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (600), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (2556) all_0_31_31 = e4
% 107.51/57.01 |
% 107.51/57.01 | Combining equations (414,2556) yields a new equation:
% 107.51/57.01 | (838) e4 = e1
% 107.51/57.01 |
% 107.51/57.01 | Equations (838) can reduce 56 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (2559) ~ (all_0_31_31 = e4)
% 107.51/57.01 | (2560) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (2560), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (609) all_0_32_32 = e4
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 242 to:
% 107.51/57.01 | (456) ~ (all_0_17_17 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 170 to:
% 107.51/57.01 | (785) ~ (all_0_27_27 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 105 to:
% 107.51/57.01 | (2564) ~ (all_0_33_33 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 2564 yields:
% 107.51/57.01 | (594) ~ (all_0_33_33 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 132 to:
% 107.51/57.01 | (2566) ~ (all_0_34_34 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 2566 yields:
% 107.51/57.01 | (2554) ~ (all_0_34_34 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 211 to:
% 107.51/57.01 | (1001) ~ (all_0_37_37 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 1001 yields:
% 107.51/57.01 | (1002) ~ (all_0_37_37 = e4)
% 107.51/57.01 |
% 107.51/57.01 | Equations (609) can reduce 448 to:
% 107.51/57.01 | (21) ~ (e4 = e2)
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (6679), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (6724) all_0_31_31 = e3
% 107.51/57.01 |
% 107.51/57.01 | Combining equations (6724,414) yields a new equation:
% 107.51/57.01 | (1113) e3 = e1
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 1113 yields:
% 107.51/57.01 | (928) e3 = e1
% 107.51/57.01 |
% 107.51/57.01 | Equations (928) can reduce 298 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (6728) ~ (all_0_31_31 = e3)
% 107.51/57.01 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (6729), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (629) all_0_32_32 = e3
% 107.51/57.01 |
% 107.51/57.01 | Combining equations (609,629) yields a new equation:
% 107.51/57.01 | (596) e4 = e3
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 596 yields:
% 107.51/57.01 | (597) e4 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (597) can reduce 255 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (579) ~ (all_0_32_32 = e3)
% 107.51/57.01 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (9423), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1360) all_0_33_33 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (1360) can reduce 574 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (574) ~ (all_0_33_33 = e3)
% 107.51/57.01 | (2571) all_0_34_34 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 295 to:
% 107.51/57.01 | (1150) ~ (all_0_19_19 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 84 to:
% 107.51/57.01 | (3115) ~ (all_0_29_29 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 202 to:
% 107.51/57.01 | (1800) ~ (all_0_30_30 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 155 to:
% 107.51/57.01 | (574) ~ (all_0_33_33 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 2554 to:
% 107.51/57.01 | (558) ~ (e4 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 558 yields:
% 107.51/57.01 | (255) ~ (e4 = e3)
% 107.51/57.01 |
% 107.51/57.01 | Equations (2571) can reduce 421 to:
% 107.51/57.01 | (298) ~ (e3 = e1)
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (286), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (857) ~ (all_0_27_27 = e1)
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (175), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (804) all_0_27_27 = e4
% 107.51/57.01 |
% 107.51/57.01 | Equations (804) can reduce 785 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (785) ~ (all_0_27_27 = e4)
% 107.51/57.01 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (807), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (808) all_0_27_27 = e3
% 107.51/57.01 |
% 107.51/57.01 | Equations (808) can reduce 573 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (573) ~ (all_0_27_27 = e3)
% 107.51/57.01 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (811), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (812) all_0_27_27 = e2
% 107.51/57.01 |
% 107.51/57.01 | Equations (812) can reduce 475 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (475) ~ (all_0_27_27 = e2)
% 107.51/57.01 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (815), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (816) all_0_27_27 = e1
% 107.51/57.01 |
% 107.51/57.01 | Equations (816) can reduce 857 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (857) ~ (all_0_27_27 = e1)
% 107.51/57.01 | (995) all_0_27_27 = e0
% 107.51/57.01 |
% 107.51/57.01 | Equations (995) can reduce 226 to:
% 107.51/57.01 | (659) ~ (all_0_17_17 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (995) can reduce 122 to:
% 107.51/57.01 | (1054) ~ (all_0_25_25 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (995) can reduce 785 to:
% 107.51/57.01 | (543) ~ (e4 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 543 yields:
% 107.51/57.01 | (267) ~ (e4 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (995) can reduce 573 to:
% 107.51/57.01 | (665) ~ (e3 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 665 yields:
% 107.51/57.01 | (80) ~ (e3 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (995) can reduce 475 to:
% 107.51/57.01 | (496) ~ (e2 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 496 yields:
% 107.51/57.01 | (336) ~ (e2 = e0)
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (1207), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (514) all_0_16_16 = e0
% 107.51/57.01 |
% 107.51/57.01 | Combining equations (514,454) yields a new equation:
% 107.51/57.01 | (515) e4 = e0
% 107.51/57.01 |
% 107.51/57.01 | Equations (515) can reduce 267 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (517) ~ (all_0_16_16 = e0)
% 107.51/57.01 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (1212), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1184) all_0_17_17 = e0
% 107.51/57.01 |
% 107.51/57.01 | Equations (1184) can reduce 659 to:
% 107.51/57.01 | (400) $false
% 107.51/57.01 |
% 107.51/57.01 |-The branch is then unsatisfiable
% 107.51/57.01 |-Branch two:
% 107.51/57.01 | (659) ~ (all_0_17_17 = e0)
% 107.51/57.01 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (1216), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (756) all_0_18_18 = e0
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 90 to:
% 107.51/57.01 | (739) ~ (all_0_15_15 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 302 to:
% 107.51/57.01 | (757) ~ (all_0_28_28 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 757 yields:
% 107.51/57.01 | (758) ~ (all_0_28_28 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 33 to:
% 107.51/57.01 | (9509) ~ (all_0_33_33 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 9509 yields:
% 107.51/57.01 | (2612) ~ (all_0_33_33 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 38 to:
% 107.51/57.01 | (539) ~ (all_0_38_38 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 539 yields:
% 107.51/57.01 | (540) ~ (all_0_38_38 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 458 to:
% 107.51/57.01 | (543) ~ (e4 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 543 yields:
% 107.51/57.01 | (267) ~ (e4 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Equations (756) can reduce 428 to:
% 107.51/57.01 | (498) ~ (e1 = e0)
% 107.51/57.01 |
% 107.51/57.01 | Simplifying 498 yields:
% 107.51/57.01 | (40) ~ (e1 = e0)
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (251), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (1278), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 107.51/57.01 |
% 107.51/57.01 +-Applying beta-rule and splitting (1279), into two cases.
% 107.51/57.01 |-Branch one:
% 107.51/57.01 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1280), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1281), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1282), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1283), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1284), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1285), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1286), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1287), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1288), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1289), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1290), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1291), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1292), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1293), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1294), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1295), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1296) yields:
% 107.51/57.02 | (1297) all_0_15_15 = e3
% 107.51/57.02 | (550) all_0_21_21 = e4
% 107.51/57.02 | (1299) ~ (all_0_16_16 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (550,557) yields a new equation:
% 107.51/57.02 | (596) e4 = e3
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 596 yields:
% 107.51/57.02 | (597) e4 = e3
% 107.51/57.02 |
% 107.51/57.02 | Equations (597) can reduce 255 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1303) yields:
% 107.51/57.02 | (1297) all_0_15_15 = e3
% 107.51/57.02 | (550) all_0_21_21 = e4
% 107.51/57.02 | (1306) ~ (all_0_20_20 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (550,557) yields a new equation:
% 107.51/57.02 | (596) e4 = e3
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 596 yields:
% 107.51/57.02 | (597) e4 = e3
% 107.51/57.02 |
% 107.51/57.02 | Equations (597) can reduce 255 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1310) yields:
% 107.51/57.02 | (711) all_0_15_15 = e2
% 107.51/57.02 | (804) all_0_27_27 = e4
% 107.51/57.02 | (456) ~ (all_0_17_17 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (995,804) yields a new equation:
% 107.51/57.02 | (515) e4 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (515) can reduce 267 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1315) yields:
% 107.51/57.02 | (711) all_0_15_15 = e2
% 107.51/57.02 | (804) all_0_27_27 = e4
% 107.51/57.02 | (473) ~ (all_0_25_25 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (995,804) yields a new equation:
% 107.51/57.02 | (515) e4 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (515) can reduce 267 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1320) yields:
% 107.51/57.02 | (969) all_0_15_15 = e1
% 107.51/57.02 | (1322) all_0_33_33 = e4
% 107.51/57.02 | (458) ~ (all_0_18_18 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Equations (1322) can reduce 594 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1326) yields:
% 107.51/57.02 | (969) all_0_15_15 = e1
% 107.51/57.02 | (1322) all_0_33_33 = e4
% 107.51/57.02 | (417) ~ (all_0_30_30 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Equations (1322) can reduce 594 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1332) yields:
% 107.51/57.02 | (736) all_0_15_15 = e0
% 107.51/57.02 | (697) all_0_39_39 = e4
% 107.51/57.02 | (460) ~ (all_0_19_19 = e4)
% 107.51/57.02 |
% 107.51/57.02 | Equations (736) can reduce 739 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1339) yields:
% 107.51/57.02 | (736) all_0_15_15 = e0
% 107.51/57.02 | (697) all_0_39_39 = e4
% 107.51/57.02 | (536) ~ (all_0_35_35 = e0)
% 107.51/57.02 |
% 107.51/57.02 | Equations (736) can reduce 739 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1346) yields:
% 107.51/57.02 | (1347) all_0_21_21 = e2
% 107.51/57.02 | (808) all_0_27_27 = e3
% 107.51/57.02 | (925) ~ (all_0_22_22 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (1347,557) yields a new equation:
% 107.51/57.02 | (615) e3 = e2
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (808,995) yields a new equation:
% 107.51/57.02 | (647) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 647 yields:
% 107.51/57.02 | (648) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (648,615) yields a new equation:
% 107.51/57.02 | (525) e2 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (525) can reduce 336 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1352) yields:
% 107.51/57.02 | (1347) all_0_21_21 = e2
% 107.51/57.02 | (808) all_0_27_27 = e3
% 107.51/57.02 | (1355) ~ (all_0_26_26 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (1347,557) yields a new equation:
% 107.51/57.02 | (615) e3 = e2
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (808,995) yields a new equation:
% 107.51/57.02 | (647) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 647 yields:
% 107.51/57.02 | (648) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (648,615) yields a new equation:
% 107.51/57.02 | (525) e2 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (525) can reduce 336 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1358) yields:
% 107.51/57.02 | (1359) all_0_21_21 = e1
% 107.51/57.02 | (1360) all_0_33_33 = e3
% 107.51/57.02 | (1361) ~ (all_0_23_23 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (1359,557) yields a new equation:
% 107.51/57.02 | (928) e3 = e1
% 107.51/57.02 |
% 107.51/57.02 | Equations (928) can reduce 298 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1367) yields:
% 107.51/57.02 | (1359) all_0_21_21 = e1
% 107.51/57.02 | (1360) all_0_33_33 = e3
% 107.51/57.02 | (1370) ~ (all_0_31_31 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (1359,557) yields a new equation:
% 107.51/57.02 | (928) e3 = e1
% 107.51/57.02 |
% 107.51/57.02 | Equations (928) can reduce 298 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1376) yields:
% 107.51/57.02 | (519) all_0_21_21 = e0
% 107.51/57.02 | (701) all_0_39_39 = e3
% 107.51/57.02 | (1379) ~ (all_0_24_24 = e3)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (519,557) yields a new equation:
% 107.51/57.02 | (648) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (648) can reduce 80 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1385) yields:
% 107.51/57.02 | (519) all_0_21_21 = e0
% 107.51/57.02 | (701) all_0_39_39 = e3
% 107.51/57.02 | (1388) ~ (all_0_36_36 = e0)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (519,557) yields a new equation:
% 107.51/57.02 | (648) e3 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (648) can reduce 80 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1394) yields:
% 107.51/57.02 | (816) all_0_27_27 = e1
% 107.51/57.02 | (637) all_0_33_33 = e2
% 107.51/57.02 | (477) ~ (all_0_28_28 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (816,995) yields a new equation:
% 107.51/57.02 | (530) e1 = e0
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 530 yields:
% 107.51/57.02 | (531) e1 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (531) can reduce 40 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1421) yields:
% 107.51/57.02 | (816) all_0_27_27 = e1
% 107.51/57.02 | (637) all_0_33_33 = e2
% 107.51/57.02 | (419) ~ (all_0_32_32 = e1)
% 107.51/57.02 |
% 107.51/57.02 | Combining equations (816,995) yields a new equation:
% 107.51/57.02 | (530) e1 = e0
% 107.51/57.02 |
% 107.51/57.02 | Simplifying 530 yields:
% 107.51/57.02 | (531) e1 = e0
% 107.51/57.02 |
% 107.51/57.02 | Equations (531) can reduce 40 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Applying alpha-rule on (1448) yields:
% 107.51/57.02 | (995) all_0_27_27 = e0
% 107.51/57.02 | (705) all_0_39_39 = e2
% 107.51/57.02 | (479) ~ (all_0_29_29 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Equations (705) can reduce 291 to:
% 107.51/57.02 | (479) ~ (all_0_29_29 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Equations (705) can reduce 63 to:
% 107.51/57.02 | (719) ~ (all_0_35_35 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Equations (705) can reduce 231 to:
% 107.51/57.02 | (2728) ~ (all_0_38_38 = e2)
% 107.51/57.02 |
% 107.51/57.02 | Equations (705) can reduce 542 to:
% 107.51/57.02 | (336) ~ (e2 = e0)
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (248), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.02 | (724) all_0_35_35 = e4
% 107.51/57.02 |
% 107.51/57.02 | Equations (724) can reduce 509 to:
% 107.51/57.02 | (400) $false
% 107.51/57.02 |
% 107.51/57.02 |-The branch is then unsatisfiable
% 107.51/57.02 |-Branch two:
% 107.51/57.02 | (509) ~ (all_0_35_35 = e4)
% 107.51/57.02 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.51/57.02 |
% 107.51/57.02 +-Applying beta-rule and splitting (1091), into two cases.
% 107.51/57.02 |-Branch one:
% 107.51/57.03 | (2975) all_0_36_36 = e4
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (534,2975) yields a new equation:
% 107.51/57.03 | (515) e4 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (515) can reduce 267 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (466) ~ (all_0_36_36 = e4)
% 107.51/57.03 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (534) can reduce 466 to:
% 107.51/57.03 | (543) ~ (e4 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 543 yields:
% 107.51/57.03 | (267) ~ (e4 = e0)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (54), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1191) all_0_18_18 = e2
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (1191,756) yields a new equation:
% 107.51/57.03 | (524) e2 = e0
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 524 yields:
% 107.51/57.03 | (525) e2 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (525) can reduce 336 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (638) ~ (all_0_18_18 = e2)
% 107.51/57.03 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.51/57.03 |
% 107.51/57.03 | Equations (756) can reduce 638 to:
% 107.51/57.03 | (496) ~ (e2 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 496 yields:
% 107.51/57.03 | (336) ~ (e2 = e0)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (740), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (742) all_0_20_20 = e0
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (742,500) yields a new equation:
% 107.51/57.03 | (515) e4 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (515) can reduce 267 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (490) ~ (all_0_20_20 = e0)
% 107.51/57.03 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (747), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (749) all_0_25_25 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (749) can reduce 1054 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (1054) ~ (all_0_25_25 = e0)
% 107.51/57.03 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (1201), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (646) all_0_30_30 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (646) can reduce 3 to:
% 107.51/57.03 | (739) ~ (all_0_15_15 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Equations (646) can reduce 62 to:
% 107.51/57.03 | (1054) ~ (all_0_25_25 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Equations (646) can reduce 15 to:
% 107.51/57.03 | (752) ~ (all_0_35_35 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 752 yields:
% 107.51/57.03 | (536) ~ (all_0_35_35 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Equations (646) can reduce 417 to:
% 107.51/57.03 | (498) ~ (e1 = e0)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 498 yields:
% 107.51/57.03 | (40) ~ (e1 = e0)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (3929), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (6267) all_0_23_23 = e2
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (427,6267) yields a new equation:
% 107.51/57.03 | (621) e2 = e1
% 107.51/57.03 |
% 107.51/57.03 | Equations (621) can reduce 310 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (6271) ~ (all_0_23_23 = e2)
% 107.51/57.03 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (2979), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (847) all_0_37_37 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (847) can reduce 1002 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (1002) ~ (all_0_37_37 = e4)
% 107.51/57.03 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (160), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (711) all_0_15_15 = e2
% 107.51/57.03 |
% 107.51/57.03 | Equations (711) can reduce 42 to:
% 107.51/57.03 | (4484) ~ (all_0_25_25 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 4484 yields:
% 107.51/57.03 | (473) ~ (all_0_25_25 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Equations (711) can reduce 39 to:
% 107.51/57.03 | (718) ~ (all_0_35_35 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 718 yields:
% 107.51/57.03 | (719) ~ (all_0_35_35 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Equations (711) can reduce 501 to:
% 107.51/57.03 | (482) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 482 yields:
% 107.51/57.03 | (21) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (2983), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1846) all_0_38_38 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (1846) can reduce 207 to:
% 107.51/57.03 | (883) ~ (all_0_28_28 = e4)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1846) can reduce 199 to:
% 107.51/57.03 | (594) ~ (all_0_33_33 = e4)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1846) can reduce 210 to:
% 107.51/57.03 | (509) ~ (all_0_35_35 = e4)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1846) can reduce 2728 to:
% 107.51/57.03 | (21) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1846) can reduce 540 to:
% 107.51/57.03 | (267) ~ (e4 = e0)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (86), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (854) all_0_28_28 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (854) can reduce 883 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (883) ~ (all_0_28_28 = e4)
% 107.51/57.03 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (1021), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1106) all_0_28_28 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 185 to:
% 107.51/57.03 | (577) ~ (all_0_25_25 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 47 to:
% 107.51/57.03 | (3114) ~ (all_0_29_29 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 3114 yields:
% 107.51/57.03 | (3115) ~ (all_0_29_29 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 230 to:
% 107.51/57.03 | (580) ~ (all_0_33_33 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 580 yields:
% 107.51/57.03 | (574) ~ (all_0_33_33 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 883 to:
% 107.51/57.03 | (558) ~ (e4 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 558 yields:
% 107.51/57.03 | (255) ~ (e4 = e3)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 477 to:
% 107.51/57.03 | (52) ~ (e3 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 434 to:
% 107.51/57.03 | (298) ~ (e3 = e1)
% 107.51/57.03 |
% 107.51/57.03 | Equations (1106) can reduce 758 to:
% 107.51/57.03 | (80) ~ (e3 = e0)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (198), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1297) all_0_15_15 = e3
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (1297,711) yields a new equation:
% 107.51/57.03 | (614) e3 = e2
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 614 yields:
% 107.51/57.03 | (615) e3 = e2
% 107.51/57.03 |
% 107.51/57.03 | Equations (615) can reduce 52 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (572) ~ (all_0_15_15 = e3)
% 107.51/57.03 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (711) can reduce 572 to:
% 107.51/57.03 | (643) ~ (e3 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 643 yields:
% 107.51/57.03 | (52) ~ (e3 = e2)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (2588), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1360) all_0_33_33 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (1360) can reduce 574 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (574) ~ (all_0_33_33 = e3)
% 107.51/57.03 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (332), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1151) all_0_19_19 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (1151) can reduce 460 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (460) ~ (all_0_19_19 = e4)
% 107.51/57.03 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (2592), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (637) all_0_33_33 = e2
% 107.51/57.03 |
% 107.51/57.03 | Equations (637) can reduce 594 to:
% 107.51/57.03 | (482) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 482 yields:
% 107.51/57.03 | (21) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (250), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1151) all_0_19_19 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (1151) can reduce 460 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (460) ~ (all_0_19_19 = e4)
% 107.51/57.03 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (6683), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (6785) all_0_20_20 = e3
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (6785,500) yields a new equation:
% 107.51/57.03 | (597) e4 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (597) can reduce 255 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (1306) ~ (all_0_20_20 = e3)
% 107.51/57.03 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (55), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (590) all_0_25_25 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (590) can reduce 505 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (505) ~ (all_0_25_25 = e4)
% 107.51/57.03 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (6789), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1698) all_0_25_25 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (1698) can reduce 577 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (577) ~ (all_0_25_25 = e3)
% 107.51/57.03 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (2780), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (2956) all_0_24_24 = e4
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (2956,488) yields a new equation:
% 107.51/57.03 | (743) e4 = e0
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 743 yields:
% 107.51/57.03 | (515) e4 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (515) can reduce 267 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (2960) ~ (all_0_24_24 = e4)
% 107.51/57.03 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (237), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (590) all_0_25_25 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (590) can reduce 505 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (505) ~ (all_0_25_25 = e4)
% 107.51/57.03 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (790), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (832) all_0_26_26 = e4
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (471,832) yields a new equation:
% 107.51/57.03 | (798) e4 = e2
% 107.51/57.03 |
% 107.51/57.03 | Equations (798) can reduce 21 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (464) ~ (all_0_26_26 = e4)
% 107.51/57.03 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.51/57.03 |
% 107.51/57.03 | Equations (471) can reduce 464 to:
% 107.51/57.03 | (482) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 | Simplifying 482 yields:
% 107.51/57.03 | (21) ~ (e4 = e2)
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (593), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (1698) all_0_25_25 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (1698) can reduce 577 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (577) ~ (all_0_25_25 = e3)
% 107.51/57.03 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 107.51/57.03 |
% 107.51/57.03 +-Applying beta-rule and splitting (7020), into two cases.
% 107.51/57.03 |-Branch one:
% 107.51/57.03 | (575) all_0_30_30 = e3
% 107.51/57.03 |
% 107.51/57.03 | Combining equations (646,575) yields a new equation:
% 107.51/57.03 | (648) e3 = e0
% 107.51/57.03 |
% 107.51/57.03 | Equations (648) can reduce 80 to:
% 107.51/57.03 | (400) $false
% 107.51/57.03 |
% 107.51/57.03 |-The branch is then unsatisfiable
% 107.51/57.03 |-Branch two:
% 107.51/57.03 | (1800) ~ (all_0_30_30 = e3)
% 107.51/57.03 | (728) all_0_35_35 = e3
% 107.51/57.03 |
% 107.51/57.03 | Equations (728) can reduce 309 to:
% 107.51/57.04 | (6232) ~ (all_0_37_37 = e3)
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 6232 yields:
% 107.51/57.04 | (1127) ~ (all_0_37_37 = e3)
% 107.51/57.04 |
% 107.51/57.04 | Equations (728) can reduce 509 to:
% 107.51/57.04 | (558) ~ (e4 = e3)
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 558 yields:
% 107.51/57.04 | (255) ~ (e4 = e3)
% 107.51/57.04 |
% 107.51/57.04 | Equations (728) can reduce 719 to:
% 107.51/57.04 | (52) ~ (e3 = e2)
% 107.51/57.04 |
% 107.51/57.04 | Equations (728) can reduce 536 to:
% 107.51/57.04 | (80) ~ (e3 = e0)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (1701), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1536) all_0_25_25 = e2
% 107.51/57.04 |
% 107.51/57.04 | Equations (1536) can reduce 473 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (473) ~ (all_0_25_25 = e2)
% 107.51/57.04 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (2961), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (941) all_0_29_29 = e4
% 107.51/57.04 |
% 107.51/57.04 | Equations (941) can reduce 7 to:
% 107.51/57.04 | (505) ~ (all_0_25_25 = e4)
% 107.51/57.04 |
% 107.51/57.04 | Equations (941) can reduce 3115 to:
% 107.51/57.04 | (255) ~ (e4 = e3)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (148), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (761) all_0_35_35 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (761,728) yields a new equation:
% 107.51/57.04 | (928) e3 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (928) can reduce 298 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (1138) ~ (all_0_35_35 = e1)
% 107.51/57.04 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (728) can reduce 1138 to:
% 107.51/57.04 | (298) ~ (e3 = e1)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (260), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1250) ~ (all_0_39_39 = e2)
% 107.51/57.04 |
% 107.51/57.04 | Equations (705) can reduce 1250 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (705) all_0_39_39 = e2
% 107.51/57.04 | (9801) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (142), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (855) all_0_17_17 = e3
% 107.51/57.04 |
% 107.51/57.04 | From (855) and (313) follows:
% 107.51/57.04 | (856) op(e4, e2) = e3
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (113), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (660) ~ (all_0_27_27 = e0)
% 107.51/57.04 |
% 107.51/57.04 | Equations (995) can reduce 660 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (995) all_0_27_27 = e0
% 107.51/57.04 | (9807) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (249), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (980) all_0_17_17 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (980,855) yields a new equation:
% 107.51/57.04 | (928) e3 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (928) can reduce 298 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (817) ~ (all_0_17_17 = e1)
% 107.51/57.04 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (4931), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (4950) all_0_36_36 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (4950,534) yields a new equation:
% 107.51/57.04 | (530) e1 = e0
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 530 yields:
% 107.51/57.04 | (531) e1 = e0
% 107.51/57.04 |
% 107.51/57.04 | Equations (531) can reduce 40 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (423) ~ (all_0_36_36 = e1)
% 107.51/57.04 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (43), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1495) all_0_25_25 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (1495) can reduce 505 to:
% 107.51/57.04 | (764) ~ (e4 = e1)
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 764 yields:
% 107.51/57.04 | (56) ~ (e4 = e1)
% 107.51/57.04 |
% 107.51/57.04 | Equations (1495) can reduce 473 to:
% 107.51/57.04 | (766) ~ (e2 = e1)
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 766 yields:
% 107.51/57.04 | (310) ~ (e2 = e1)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (9807), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (9824) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (9824), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 107.51/57.04 |
% 107.51/57.04 | Applying alpha-rule on (8433) yields:
% 107.51/57.04 | (3041) all_0_7_7 = all_0_29_29
% 107.51/57.04 | (874) ~ (all_0_6_6 = e3)
% 107.51/57.04 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.51/57.04 |
% 107.51/57.04 | From (941) and (3043) follows:
% 107.51/57.04 | (878) op(e4, e2) = all_0_6_6
% 107.51/57.04 |
% 107.51/57.04 | Instantiating formula (29) with e4, e2, e3, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e3, yields:
% 107.51/57.04 | (879) all_0_6_6 = e3
% 107.51/57.04 |
% 107.51/57.04 | Equations (879) can reduce 874 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (3047) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)
% 107.51/57.04 |
% 107.51/57.04 | Applying alpha-rule on (3047) yields:
% 107.51/57.04 | (3041) all_0_7_7 = all_0_29_29
% 107.51/57.04 | (603) ~ (all_0_29_29 = e4)
% 107.51/57.04 |
% 107.51/57.04 | Equations (941) can reduce 603 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (9836) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1)
% 107.51/57.04 |
% 107.51/57.04 | Applying alpha-rule on (9836) yields:
% 107.51/57.04 | (3052) all_0_8_8 = all_0_37_37
% 107.51/57.04 | (763) ~ (all_0_37_37 = e1)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (1085), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1094) all_0_22_22 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (1094,442) yields a new equation:
% 107.51/57.04 | (621) e2 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (621) can reduce 310 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (1098) ~ (all_0_22_22 = e1)
% 107.51/57.04 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (442) can reduce 1098 to:
% 107.51/57.04 | (310) ~ (e2 = e1)
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (4955), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1112) all_0_37_37 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (1112) can reduce 763 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (763) ~ (all_0_37_37 = e1)
% 107.51/57.04 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (5023), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (3222) all_0_38_38 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (3222,1846) yields a new equation:
% 107.51/57.04 | (838) e4 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (838) can reduce 56 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (438) ~ (all_0_38_38 = e1)
% 107.51/57.04 | (1252) all_0_39_39 = e1
% 107.51/57.04 |
% 107.51/57.04 | Combining equations (705,1252) yields a new equation:
% 107.51/57.04 | (620) e2 = e1
% 107.51/57.04 |
% 107.51/57.04 | Simplifying 620 yields:
% 107.51/57.04 | (621) e2 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (621) can reduce 310 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (1519) ~ (all_0_25_25 = e1)
% 107.51/57.04 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.51/57.04 |
% 107.51/57.04 +-Applying beta-rule and splitting (1705), into two cases.
% 107.51/57.04 |-Branch one:
% 107.51/57.04 | (1495) all_0_25_25 = e1
% 107.51/57.04 |
% 107.51/57.04 | Equations (1495) can reduce 1519 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.04 |-Branch two:
% 107.51/57.04 | (1519) ~ (all_0_25_25 = e1)
% 107.51/57.04 | (749) all_0_25_25 = e0
% 107.51/57.04 |
% 107.51/57.04 | Equations (749) can reduce 1054 to:
% 107.51/57.04 | (400) $false
% 107.51/57.04 |
% 107.51/57.04 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (919) ~ (all_0_17_17 = e3)
% 107.51/57.05 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (2769), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (3117) all_0_16_16 = e3
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (454,3117) yields a new equation:
% 107.51/57.05 | (596) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 596 yields:
% 107.51/57.05 | (597) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (597) can reduce 255 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (3121) ~ (all_0_16_16 = e3)
% 107.51/57.05 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (454) can reduce 3121 to:
% 107.51/57.05 | (255) ~ (e4 = e3)
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (920), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (921) all_0_22_22 = e3
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (921,442) yields a new equation:
% 107.51/57.05 | (614) e3 = e2
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 614 yields:
% 107.51/57.05 | (615) e3 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (615) can reduce 52 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (925) ~ (all_0_22_22 = e3)
% 107.51/57.05 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (926), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (808) all_0_27_27 = e3
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (995,808) yields a new equation:
% 107.51/57.05 | (648) e3 = e0
% 107.51/57.05 |
% 107.51/57.05 | Equations (648) can reduce 80 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (573) ~ (all_0_27_27 = e3)
% 107.51/57.05 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (931), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (629) all_0_32_32 = e3
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (609,629) yields a new equation:
% 107.51/57.05 | (596) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 596 yields:
% 107.51/57.05 | (597) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (597) can reduce 255 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (579) ~ (all_0_32_32 = e3)
% 107.51/57.05 | (936) all_0_37_37 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (936) can reduce 1127 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (603) ~ (all_0_29_29 = e4)
% 107.51/57.05 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (3061), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (601) all_0_34_34 = e4
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (2571,601) yields a new equation:
% 107.51/57.05 | (597) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (597) can reduce 255 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (2554) ~ (all_0_34_34 = e4)
% 107.51/57.05 | (697) all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (705,697) yields a new equation:
% 107.51/57.05 | (798) e4 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (798) can reduce 21 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (671) ~ (all_0_33_33 = e2)
% 107.51/57.05 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (250), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (1151) all_0_19_19 = e4
% 107.51/57.05 |
% 107.51/57.05 | Equations (1151) can reduce 460 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (460) ~ (all_0_19_19 = e4)
% 107.51/57.05 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (6683), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (6785) all_0_20_20 = e3
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (6785,500) yields a new equation:
% 107.51/57.05 | (597) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (597) can reduce 255 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (1306) ~ (all_0_20_20 = e3)
% 107.51/57.05 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (500) can reduce 1306 to:
% 107.51/57.05 | (255) ~ (e4 = e3)
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (2780), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (2956) all_0_24_24 = e4
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (2956,488) yields a new equation:
% 107.51/57.05 | (743) e4 = e0
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 743 yields:
% 107.51/57.05 | (515) e4 = e0
% 107.51/57.05 |
% 107.51/57.05 | Equations (515) can reduce 267 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (2960) ~ (all_0_24_24 = e4)
% 107.51/57.05 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (2961), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (941) all_0_29_29 = e4
% 107.51/57.05 |
% 107.51/57.05 | Equations (941) can reduce 479 to:
% 107.51/57.05 | (21) ~ (e4 = e2)
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (6272), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (1118) all_0_28_28 = e2
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (1106,1118) yields a new equation:
% 107.51/57.05 | (614) e3 = e2
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 614 yields:
% 107.51/57.05 | (615) e3 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (615) can reduce 52 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (477) ~ (all_0_28_28 = e2)
% 107.51/57.05 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (6293), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (637) all_0_33_33 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (637) can reduce 671 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (671) ~ (all_0_33_33 = e2)
% 107.51/57.05 | (3218) all_0_38_38 = e2
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (1846,3218) yields a new equation:
% 107.51/57.05 | (1531) e4 = e2
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 1531 yields:
% 107.51/57.05 | (798) e4 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (798) can reduce 21 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (603) ~ (all_0_29_29 = e4)
% 107.51/57.05 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (3061), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (601) all_0_34_34 = e4
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (601,2571) yields a new equation:
% 107.51/57.05 | (596) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 596 yields:
% 107.51/57.05 | (597) e4 = e3
% 107.51/57.05 |
% 107.51/57.05 | Equations (597) can reduce 255 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (2554) ~ (all_0_34_34 = e4)
% 107.51/57.05 | (697) all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.05 | Combining equations (697,705) yields a new equation:
% 107.51/57.05 | (1531) e4 = e2
% 107.51/57.05 |
% 107.51/57.05 | Simplifying 1531 yields:
% 107.51/57.05 | (798) e4 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (798) can reduce 21 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (893) ~ (all_0_28_28 = e3)
% 107.51/57.05 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (1117), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (1118) all_0_28_28 = e2
% 107.51/57.05 |
% 107.51/57.05 | Equations (1118) can reduce 477 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (477) ~ (all_0_28_28 = e2)
% 107.51/57.05 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.51/57.05 |
% 107.51/57.05 +-Applying beta-rule and splitting (1121), into two cases.
% 107.51/57.05 |-Branch one:
% 107.51/57.05 | (1122) all_0_28_28 = e1
% 107.51/57.05 |
% 107.51/57.05 | Equations (1122) can reduce 434 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (434) ~ (all_0_28_28 = e1)
% 107.51/57.05 | (1125) all_0_28_28 = e0
% 107.51/57.05 |
% 107.51/57.05 | Equations (1125) can reduce 758 to:
% 107.51/57.05 | (400) $false
% 107.51/57.05 |
% 107.51/57.05 |-The branch is then unsatisfiable
% 107.51/57.05 |-Branch two:
% 107.51/57.05 | (1835) ~ (all_0_38_38 = e4)
% 107.51/57.05 | (697) all_0_39_39 = e4
% 107.51/57.05 |
% 107.51/57.06 | Combining equations (697,705) yields a new equation:
% 107.51/57.06 | (1531) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 1531 yields:
% 107.51/57.06 | (798) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (798) can reduce 21 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (769) ~ (all_0_15_15 = e2)
% 107.51/57.06 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (179), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (711) all_0_15_15 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (711) can reduce 769 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (769) ~ (all_0_15_15 = e2)
% 107.51/57.06 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (6709), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (1297) all_0_15_15 = e3
% 107.51/57.06 |
% 107.51/57.06 | Equations (1297) can reduce 572 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (572) ~ (all_0_15_15 = e3)
% 107.51/57.06 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (2983), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (1846) all_0_38_38 = e4
% 107.51/57.06 |
% 107.51/57.06 | Equations (1846) can reduce 210 to:
% 107.51/57.06 | (509) ~ (all_0_35_35 = e4)
% 107.51/57.06 |
% 107.51/57.06 | Equations (1846) can reduce 2728 to:
% 107.51/57.06 | (21) ~ (e4 = e2)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (1529), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (1530) all_0_20_20 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (500,1530) yields a new equation:
% 107.51/57.06 | (1531) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 1531 yields:
% 107.51/57.06 | (798) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (798) can reduce 21 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (444) ~ (all_0_20_20 = e2)
% 107.51/57.06 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (9969), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (711) all_0_15_15 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (711) can reduce 769 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (769) ~ (all_0_15_15 = e2)
% 107.51/57.06 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (1535), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (1536) all_0_25_25 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (1536) can reduce 473 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (473) ~ (all_0_25_25 = e2)
% 107.51/57.06 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (9982), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (969) all_0_15_15 = e1
% 107.51/57.06 |
% 107.51/57.06 | Equations (969) can reduce 39 to:
% 107.51/57.06 | (3855) ~ (all_0_35_35 = e1)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 3855 yields:
% 107.51/57.06 | (1138) ~ (all_0_35_35 = e1)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (128), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (724) all_0_35_35 = e4
% 107.51/57.06 |
% 107.51/57.06 | Equations (724) can reduce 509 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (509) ~ (all_0_35_35 = e4)
% 107.51/57.06 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (727), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (728) all_0_35_35 = e3
% 107.51/57.06 |
% 107.51/57.06 | Equations (728) can reduce 719 to:
% 107.51/57.06 | (52) ~ (e3 = e2)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (107), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (613) all_0_30_30 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (646,613) yields a new equation:
% 107.51/57.06 | (525) e2 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (525) can reduce 336 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (617) ~ (all_0_30_30 = e2)
% 107.51/57.06 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (646) can reduce 617 to:
% 107.51/57.06 | (496) ~ (e2 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 496 yields:
% 107.51/57.06 | (336) ~ (e2 = e0)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (1539), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (613) all_0_30_30 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (646,613) yields a new equation:
% 107.51/57.06 | (525) e2 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (525) can reduce 336 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (617) ~ (all_0_30_30 = e2)
% 107.51/57.06 | (732) all_0_35_35 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (728,732) yields a new equation:
% 107.51/57.06 | (614) e3 = e2
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 614 yields:
% 107.51/57.06 | (615) e3 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (615) can reduce 52 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (585) ~ (all_0_35_35 = e3)
% 107.51/57.06 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (731), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (732) all_0_35_35 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (732) can reduce 719 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (719) ~ (all_0_35_35 = e2)
% 107.51/57.06 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (735), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (761) all_0_35_35 = e1
% 107.51/57.06 |
% 107.51/57.06 | Equations (761) can reduce 1138 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (1138) ~ (all_0_35_35 = e1)
% 107.51/57.06 | (1139) all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (1139) can reduce 536 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (679) ~ (all_0_15_15 = e1)
% 107.51/57.06 | (736) all_0_15_15 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (736) can reduce 739 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (1835) ~ (all_0_38_38 = e4)
% 107.51/57.06 | (697) all_0_39_39 = e4
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (697,705) yields a new equation:
% 107.51/57.06 | (1531) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 1531 yields:
% 107.51/57.06 | (798) e4 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (798) can reduce 21 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (650) ~ (all_0_30_30 = e0)
% 107.51/57.06 | (1139) all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (1139) can reduce 536 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Applying alpha-rule on (1455) yields:
% 107.51/57.06 | (995) all_0_27_27 = e0
% 107.51/57.06 | (705) all_0_39_39 = e2
% 107.51/57.06 | (538) ~ (all_0_37_37 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Equations (705) can reduce 291 to:
% 107.51/57.06 | (479) ~ (all_0_29_29 = e2)
% 107.51/57.06 |
% 107.51/57.06 | Equations (705) can reduce 63 to:
% 107.51/57.06 | (719) ~ (all_0_35_35 = e2)
% 107.51/57.06 |
% 107.51/57.06 | Equations (705) can reduce 231 to:
% 107.51/57.06 | (2728) ~ (all_0_38_38 = e2)
% 107.51/57.06 |
% 107.51/57.06 | Equations (705) can reduce 542 to:
% 107.51/57.06 | (336) ~ (e2 = e0)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (248), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (724) all_0_35_35 = e4
% 107.51/57.06 |
% 107.51/57.06 | Equations (724) can reduce 509 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (509) ~ (all_0_35_35 = e4)
% 107.51/57.06 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (1091), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (2975) all_0_36_36 = e4
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (534,2975) yields a new equation:
% 107.51/57.06 | (515) e4 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (515) can reduce 267 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (466) ~ (all_0_36_36 = e4)
% 107.51/57.06 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.51/57.06 |
% 107.51/57.06 | Equations (534) can reduce 466 to:
% 107.51/57.06 | (543) ~ (e4 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 543 yields:
% 107.51/57.06 | (267) ~ (e4 = e0)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (54), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (1191) all_0_18_18 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (1191,756) yields a new equation:
% 107.51/57.06 | (524) e2 = e0
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 524 yields:
% 107.51/57.06 | (525) e2 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (525) can reduce 336 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (638) ~ (all_0_18_18 = e2)
% 107.51/57.06 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.51/57.06 |
% 107.51/57.06 | Equations (756) can reduce 638 to:
% 107.51/57.06 | (496) ~ (e2 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 496 yields:
% 107.51/57.06 | (336) ~ (e2 = e0)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (740), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (742) all_0_20_20 = e0
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (742,500) yields a new equation:
% 107.51/57.06 | (515) e4 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (515) can reduce 267 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (490) ~ (all_0_20_20 = e0)
% 107.51/57.06 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (747), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (749) all_0_25_25 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (749) can reduce 1054 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.51/57.06 | (1054) ~ (all_0_25_25 = e0)
% 107.51/57.06 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (1201), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (646) all_0_30_30 = e0
% 107.51/57.06 |
% 107.51/57.06 | Equations (646) can reduce 3 to:
% 107.51/57.06 | (739) ~ (all_0_15_15 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Equations (646) can reduce 62 to:
% 107.51/57.06 | (1054) ~ (all_0_25_25 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Equations (646) can reduce 15 to:
% 107.51/57.06 | (752) ~ (all_0_35_35 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 752 yields:
% 107.51/57.06 | (536) ~ (all_0_35_35 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Equations (646) can reduce 417 to:
% 107.51/57.06 | (498) ~ (e1 = e0)
% 107.51/57.06 |
% 107.51/57.06 | Simplifying 498 yields:
% 107.51/57.06 | (40) ~ (e1 = e0)
% 107.51/57.06 |
% 107.51/57.06 +-Applying beta-rule and splitting (3929), into two cases.
% 107.51/57.06 |-Branch one:
% 107.51/57.06 | (6267) all_0_23_23 = e2
% 107.51/57.06 |
% 107.51/57.06 | Combining equations (427,6267) yields a new equation:
% 107.51/57.06 | (621) e2 = e1
% 107.51/57.06 |
% 107.51/57.06 | Equations (621) can reduce 310 to:
% 107.51/57.06 | (400) $false
% 107.51/57.06 |
% 107.51/57.06 |-The branch is then unsatisfiable
% 107.51/57.06 |-Branch two:
% 107.60/57.06 | (6271) ~ (all_0_23_23 = e2)
% 107.60/57.06 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.60/57.06 |
% 107.60/57.07 +-Applying beta-rule and splitting (2979), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (847) all_0_37_37 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (847) can reduce 1002 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (1002) ~ (all_0_37_37 = e4)
% 107.60/57.07 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (160), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (711) all_0_15_15 = e2
% 107.60/57.07 |
% 107.60/57.07 | Equations (711) can reduce 42 to:
% 107.60/57.07 | (4484) ~ (all_0_25_25 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 4484 yields:
% 107.60/57.07 | (473) ~ (all_0_25_25 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (711) can reduce 39 to:
% 107.60/57.07 | (718) ~ (all_0_35_35 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 718 yields:
% 107.60/57.07 | (719) ~ (all_0_35_35 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (711) can reduce 501 to:
% 107.60/57.07 | (482) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 482 yields:
% 107.60/57.07 | (21) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (2983), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1846) all_0_38_38 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (1846) can reduce 207 to:
% 107.60/57.07 | (883) ~ (all_0_28_28 = e4)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1846) can reduce 199 to:
% 107.60/57.07 | (594) ~ (all_0_33_33 = e4)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1846) can reduce 210 to:
% 107.60/57.07 | (509) ~ (all_0_35_35 = e4)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1846) can reduce 2728 to:
% 107.60/57.07 | (21) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1846) can reduce 540 to:
% 107.60/57.07 | (267) ~ (e4 = e0)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (86), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (854) all_0_28_28 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (854) can reduce 883 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (883) ~ (all_0_28_28 = e4)
% 107.60/57.07 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (1021), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1106) all_0_28_28 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 185 to:
% 107.60/57.07 | (577) ~ (all_0_25_25 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 47 to:
% 107.60/57.07 | (3114) ~ (all_0_29_29 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 3114 yields:
% 107.60/57.07 | (3115) ~ (all_0_29_29 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 230 to:
% 107.60/57.07 | (580) ~ (all_0_33_33 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 580 yields:
% 107.60/57.07 | (574) ~ (all_0_33_33 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 883 to:
% 107.60/57.07 | (558) ~ (e4 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 558 yields:
% 107.60/57.07 | (255) ~ (e4 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 477 to:
% 107.60/57.07 | (52) ~ (e3 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 434 to:
% 107.60/57.07 | (298) ~ (e3 = e1)
% 107.60/57.07 |
% 107.60/57.07 | Equations (1106) can reduce 758 to:
% 107.60/57.07 | (80) ~ (e3 = e0)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (198), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1297) all_0_15_15 = e3
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (1297,711) yields a new equation:
% 107.60/57.07 | (614) e3 = e2
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 614 yields:
% 107.60/57.07 | (615) e3 = e2
% 107.60/57.07 |
% 107.60/57.07 | Equations (615) can reduce 52 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (572) ~ (all_0_15_15 = e3)
% 107.60/57.07 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (711) can reduce 572 to:
% 107.60/57.07 | (643) ~ (e3 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 643 yields:
% 107.60/57.07 | (52) ~ (e3 = e2)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (2588), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1360) all_0_33_33 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (1360) can reduce 574 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (574) ~ (all_0_33_33 = e3)
% 107.60/57.07 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (332), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1151) all_0_19_19 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (1151) can reduce 460 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (460) ~ (all_0_19_19 = e4)
% 107.60/57.07 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (2592), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (637) all_0_33_33 = e2
% 107.60/57.07 |
% 107.60/57.07 | Equations (637) can reduce 594 to:
% 107.60/57.07 | (482) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 482 yields:
% 107.60/57.07 | (21) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (250), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1151) all_0_19_19 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (1151) can reduce 460 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (460) ~ (all_0_19_19 = e4)
% 107.60/57.07 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (6683), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (6785) all_0_20_20 = e3
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (6785,500) yields a new equation:
% 107.60/57.07 | (597) e4 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (597) can reduce 255 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (1306) ~ (all_0_20_20 = e3)
% 107.60/57.07 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (55), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (590) all_0_25_25 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (590) can reduce 505 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (505) ~ (all_0_25_25 = e4)
% 107.60/57.07 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (6789), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1698) all_0_25_25 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (1698) can reduce 577 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (577) ~ (all_0_25_25 = e3)
% 107.60/57.07 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (2780), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (2956) all_0_24_24 = e4
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (2956,488) yields a new equation:
% 107.60/57.07 | (743) e4 = e0
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 743 yields:
% 107.60/57.07 | (515) e4 = e0
% 107.60/57.07 |
% 107.60/57.07 | Equations (515) can reduce 267 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (2960) ~ (all_0_24_24 = e4)
% 107.60/57.07 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (237), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (590) all_0_25_25 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (590) can reduce 505 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (505) ~ (all_0_25_25 = e4)
% 107.60/57.07 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (790), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (832) all_0_26_26 = e4
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (471,832) yields a new equation:
% 107.60/57.07 | (798) e4 = e2
% 107.60/57.07 |
% 107.60/57.07 | Equations (798) can reduce 21 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (464) ~ (all_0_26_26 = e4)
% 107.60/57.07 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (471) can reduce 464 to:
% 107.60/57.07 | (482) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 482 yields:
% 107.60/57.07 | (21) ~ (e4 = e2)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (593), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1698) all_0_25_25 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (1698) can reduce 577 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (577) ~ (all_0_25_25 = e3)
% 107.60/57.07 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (7020), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (575) all_0_30_30 = e3
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (646,575) yields a new equation:
% 107.60/57.07 | (648) e3 = e0
% 107.60/57.07 |
% 107.60/57.07 | Equations (648) can reduce 80 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (1800) ~ (all_0_30_30 = e3)
% 107.60/57.07 | (728) all_0_35_35 = e3
% 107.60/57.07 |
% 107.60/57.07 | Equations (728) can reduce 309 to:
% 107.60/57.07 | (6232) ~ (all_0_37_37 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 6232 yields:
% 107.60/57.07 | (1127) ~ (all_0_37_37 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (728) can reduce 509 to:
% 107.60/57.07 | (558) ~ (e4 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Simplifying 558 yields:
% 107.60/57.07 | (255) ~ (e4 = e3)
% 107.60/57.07 |
% 107.60/57.07 | Equations (728) can reduce 719 to:
% 107.60/57.07 | (52) ~ (e3 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (728) can reduce 536 to:
% 107.60/57.07 | (80) ~ (e3 = e0)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (1701), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1536) all_0_25_25 = e2
% 107.60/57.07 |
% 107.60/57.07 | Equations (1536) can reduce 473 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (473) ~ (all_0_25_25 = e2)
% 107.60/57.07 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (2961), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (941) all_0_29_29 = e4
% 107.60/57.07 |
% 107.60/57.07 | Equations (941) can reduce 7 to:
% 107.60/57.07 | (505) ~ (all_0_25_25 = e4)
% 107.60/57.07 |
% 107.60/57.07 | Equations (941) can reduce 3115 to:
% 107.60/57.07 | (255) ~ (e4 = e3)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (148), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (761) all_0_35_35 = e1
% 107.60/57.07 |
% 107.60/57.07 | Combining equations (761,728) yields a new equation:
% 107.60/57.07 | (928) e3 = e1
% 107.60/57.07 |
% 107.60/57.07 | Equations (928) can reduce 298 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (1138) ~ (all_0_35_35 = e1)
% 107.60/57.07 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.60/57.07 |
% 107.60/57.07 | Equations (728) can reduce 1138 to:
% 107.60/57.07 | (298) ~ (e3 = e1)
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (260), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (1250) ~ (all_0_39_39 = e2)
% 107.60/57.07 |
% 107.60/57.07 | Equations (705) can reduce 1250 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (705) all_0_39_39 = e2
% 107.60/57.07 | (9801) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e1) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (142), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (855) all_0_17_17 = e3
% 107.60/57.07 |
% 107.60/57.07 | From (855) and (313) follows:
% 107.60/57.07 | (856) op(e4, e2) = e3
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (113), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.07 | (660) ~ (all_0_27_27 = e0)
% 107.60/57.07 |
% 107.60/57.07 | Equations (995) can reduce 660 to:
% 107.60/57.07 | (400) $false
% 107.60/57.07 |
% 107.60/57.07 |-The branch is then unsatisfiable
% 107.60/57.07 |-Branch two:
% 107.60/57.07 | (995) all_0_27_27 = e0
% 107.60/57.07 | (9807) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 107.60/57.07 |
% 107.60/57.07 +-Applying beta-rule and splitting (249), into two cases.
% 107.60/57.07 |-Branch one:
% 107.60/57.08 | (980) all_0_17_17 = e1
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (980,855) yields a new equation:
% 107.60/57.08 | (928) e3 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (928) can reduce 298 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (817) ~ (all_0_17_17 = e1)
% 107.60/57.08 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (4931), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (4950) all_0_36_36 = e1
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (4950,534) yields a new equation:
% 107.60/57.08 | (530) e1 = e0
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 530 yields:
% 107.60/57.08 | (531) e1 = e0
% 107.60/57.08 |
% 107.60/57.08 | Equations (531) can reduce 40 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (423) ~ (all_0_36_36 = e1)
% 107.60/57.08 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (43), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (1495) all_0_25_25 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (1495) can reduce 505 to:
% 107.60/57.08 | (764) ~ (e4 = e1)
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 764 yields:
% 107.60/57.08 | (56) ~ (e4 = e1)
% 107.60/57.08 |
% 107.60/57.08 | Equations (1495) can reduce 473 to:
% 107.60/57.08 | (766) ~ (e2 = e1)
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 766 yields:
% 107.60/57.08 | (310) ~ (e2 = e1)
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (9807), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (9824) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (9824), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 107.60/57.08 |
% 107.60/57.08 | Applying alpha-rule on (8433) yields:
% 107.60/57.08 | (3041) all_0_7_7 = all_0_29_29
% 107.60/57.08 | (874) ~ (all_0_6_6 = e3)
% 107.60/57.08 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.60/57.08 |
% 107.60/57.08 | From (941) and (3043) follows:
% 107.60/57.08 | (878) op(e4, e2) = all_0_6_6
% 107.60/57.08 |
% 107.60/57.08 | Instantiating formula (29) with e4, e2, e3, all_0_6_6 and discharging atoms op(e4, e2) = all_0_6_6, op(e4, e2) = e3, yields:
% 107.60/57.08 | (879) all_0_6_6 = e3
% 107.60/57.08 |
% 107.60/57.08 | Equations (879) can reduce 874 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (3047) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)
% 107.60/57.08 |
% 107.60/57.08 | Applying alpha-rule on (3047) yields:
% 107.60/57.08 | (3041) all_0_7_7 = all_0_29_29
% 107.60/57.08 | (603) ~ (all_0_29_29 = e4)
% 107.60/57.08 |
% 107.60/57.08 | Equations (941) can reduce 603 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (9836) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1)
% 107.60/57.08 |
% 107.60/57.08 | Applying alpha-rule on (9836) yields:
% 107.60/57.08 | (3052) all_0_8_8 = all_0_37_37
% 107.60/57.08 | (763) ~ (all_0_37_37 = e1)
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (1085), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (1094) all_0_22_22 = e1
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (1094,442) yields a new equation:
% 107.60/57.08 | (621) e2 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (621) can reduce 310 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (1098) ~ (all_0_22_22 = e1)
% 107.60/57.08 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (442) can reduce 1098 to:
% 107.60/57.08 | (310) ~ (e2 = e1)
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (4955), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (1112) all_0_37_37 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (1112) can reduce 763 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (763) ~ (all_0_37_37 = e1)
% 107.60/57.08 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (5023), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (3222) all_0_38_38 = e1
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (3222,1846) yields a new equation:
% 107.60/57.08 | (838) e4 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (838) can reduce 56 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (438) ~ (all_0_38_38 = e1)
% 107.60/57.08 | (1252) all_0_39_39 = e1
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (705,1252) yields a new equation:
% 107.60/57.08 | (620) e2 = e1
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 620 yields:
% 107.60/57.08 | (621) e2 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (621) can reduce 310 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (1519) ~ (all_0_25_25 = e1)
% 107.60/57.08 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (1705), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (1495) all_0_25_25 = e1
% 107.60/57.08 |
% 107.60/57.08 | Equations (1495) can reduce 1519 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (1519) ~ (all_0_25_25 = e1)
% 107.60/57.08 | (749) all_0_25_25 = e0
% 107.60/57.08 |
% 107.60/57.08 | Equations (749) can reduce 1054 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (919) ~ (all_0_17_17 = e3)
% 107.60/57.08 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (2769), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (3117) all_0_16_16 = e3
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (454,3117) yields a new equation:
% 107.60/57.08 | (596) e4 = e3
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 596 yields:
% 107.60/57.08 | (597) e4 = e3
% 107.60/57.08 |
% 107.60/57.08 | Equations (597) can reduce 255 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (3121) ~ (all_0_16_16 = e3)
% 107.60/57.08 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.60/57.08 |
% 107.60/57.08 | Equations (454) can reduce 3121 to:
% 107.60/57.08 | (255) ~ (e4 = e3)
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (920), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (921) all_0_22_22 = e3
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (921,442) yields a new equation:
% 107.60/57.08 | (614) e3 = e2
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 614 yields:
% 107.60/57.08 | (615) e3 = e2
% 107.60/57.08 |
% 107.60/57.08 | Equations (615) can reduce 52 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (925) ~ (all_0_22_22 = e3)
% 107.60/57.08 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (926), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (808) all_0_27_27 = e3
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (995,808) yields a new equation:
% 107.60/57.08 | (648) e3 = e0
% 107.60/57.08 |
% 107.60/57.08 | Equations (648) can reduce 80 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (573) ~ (all_0_27_27 = e3)
% 107.60/57.08 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (931), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (629) all_0_32_32 = e3
% 107.60/57.08 |
% 107.60/57.08 | Combining equations (609,629) yields a new equation:
% 107.60/57.08 | (596) e4 = e3
% 107.60/57.08 |
% 107.60/57.08 | Simplifying 596 yields:
% 107.60/57.08 | (597) e4 = e3
% 107.60/57.08 |
% 107.60/57.08 | Equations (597) can reduce 255 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (579) ~ (all_0_32_32 = e3)
% 107.60/57.08 | (936) all_0_37_37 = e3
% 107.60/57.08 |
% 107.60/57.08 | Equations (936) can reduce 1127 to:
% 107.60/57.08 | (400) $false
% 107.60/57.08 |
% 107.60/57.08 |-The branch is then unsatisfiable
% 107.60/57.08 |-Branch two:
% 107.60/57.08 | (603) ~ (all_0_29_29 = e4)
% 107.60/57.08 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.08 |
% 107.60/57.08 +-Applying beta-rule and splitting (3061), into two cases.
% 107.60/57.08 |-Branch one:
% 107.60/57.08 | (601) all_0_34_34 = e4
% 107.60/57.08 |
% 107.60/57.09 | Combining equations (2571,601) yields a new equation:
% 107.60/57.09 | (597) e4 = e3
% 107.60/57.09 |
% 107.60/57.09 | Equations (597) can reduce 255 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (2554) ~ (all_0_34_34 = e4)
% 107.60/57.09 | (697) all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (705,697) yields a new equation:
% 107.60/57.09 | (798) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (798) can reduce 21 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (671) ~ (all_0_33_33 = e2)
% 107.60/57.09 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (250), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1151) all_0_19_19 = e4
% 107.60/57.09 |
% 107.60/57.09 | Equations (1151) can reduce 460 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (460) ~ (all_0_19_19 = e4)
% 107.60/57.09 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (6683), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (6785) all_0_20_20 = e3
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (6785,500) yields a new equation:
% 107.60/57.09 | (597) e4 = e3
% 107.60/57.09 |
% 107.60/57.09 | Equations (597) can reduce 255 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (1306) ~ (all_0_20_20 = e3)
% 107.60/57.09 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.60/57.09 |
% 107.60/57.09 | Equations (500) can reduce 1306 to:
% 107.60/57.09 | (255) ~ (e4 = e3)
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (2780), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (2956) all_0_24_24 = e4
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (2956,488) yields a new equation:
% 107.60/57.09 | (743) e4 = e0
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 743 yields:
% 107.60/57.09 | (515) e4 = e0
% 107.60/57.09 |
% 107.60/57.09 | Equations (515) can reduce 267 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (2960) ~ (all_0_24_24 = e4)
% 107.60/57.09 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (2961), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (941) all_0_29_29 = e4
% 107.60/57.09 |
% 107.60/57.09 | Equations (941) can reduce 479 to:
% 107.60/57.09 | (21) ~ (e4 = e2)
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (6272), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1118) all_0_28_28 = e2
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (1106,1118) yields a new equation:
% 107.60/57.09 | (614) e3 = e2
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 614 yields:
% 107.60/57.09 | (615) e3 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (615) can reduce 52 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (477) ~ (all_0_28_28 = e2)
% 107.60/57.09 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (6293), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (637) all_0_33_33 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (637) can reduce 671 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (671) ~ (all_0_33_33 = e2)
% 107.60/57.09 | (3218) all_0_38_38 = e2
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (1846,3218) yields a new equation:
% 107.60/57.09 | (1531) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 1531 yields:
% 107.60/57.09 | (798) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (798) can reduce 21 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (603) ~ (all_0_29_29 = e4)
% 107.60/57.09 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (3061), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (601) all_0_34_34 = e4
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (601,2571) yields a new equation:
% 107.60/57.09 | (596) e4 = e3
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 596 yields:
% 107.60/57.09 | (597) e4 = e3
% 107.60/57.09 |
% 107.60/57.09 | Equations (597) can reduce 255 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (2554) ~ (all_0_34_34 = e4)
% 107.60/57.09 | (697) all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (697,705) yields a new equation:
% 107.60/57.09 | (1531) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 1531 yields:
% 107.60/57.09 | (798) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (798) can reduce 21 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (893) ~ (all_0_28_28 = e3)
% 107.60/57.09 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (1117), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1118) all_0_28_28 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (1118) can reduce 477 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (477) ~ (all_0_28_28 = e2)
% 107.60/57.09 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (1121), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1122) all_0_28_28 = e1
% 107.60/57.09 |
% 107.60/57.09 | Equations (1122) can reduce 434 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (434) ~ (all_0_28_28 = e1)
% 107.60/57.09 | (1125) all_0_28_28 = e0
% 107.60/57.09 |
% 107.60/57.09 | Equations (1125) can reduce 758 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (1835) ~ (all_0_38_38 = e4)
% 107.60/57.09 | (697) all_0_39_39 = e4
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (697,705) yields a new equation:
% 107.60/57.09 | (1531) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 1531 yields:
% 107.60/57.09 | (798) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (798) can reduce 21 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (769) ~ (all_0_15_15 = e2)
% 107.60/57.09 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (179), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (711) all_0_15_15 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (711) can reduce 769 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (769) ~ (all_0_15_15 = e2)
% 107.60/57.09 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (6709), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1297) all_0_15_15 = e3
% 107.60/57.09 |
% 107.60/57.09 | Equations (1297) can reduce 572 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (572) ~ (all_0_15_15 = e3)
% 107.60/57.09 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (2983), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1846) all_0_38_38 = e4
% 107.60/57.09 |
% 107.60/57.09 | Equations (1846) can reduce 210 to:
% 107.60/57.09 | (509) ~ (all_0_35_35 = e4)
% 107.60/57.09 |
% 107.60/57.09 | Equations (1846) can reduce 2728 to:
% 107.60/57.09 | (21) ~ (e4 = e2)
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (1529), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1530) all_0_20_20 = e2
% 107.60/57.09 |
% 107.60/57.09 | Combining equations (500,1530) yields a new equation:
% 107.60/57.09 | (1531) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Simplifying 1531 yields:
% 107.60/57.09 | (798) e4 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (798) can reduce 21 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (444) ~ (all_0_20_20 = e2)
% 107.60/57.09 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (9969), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (711) all_0_15_15 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (711) can reduce 769 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (769) ~ (all_0_15_15 = e2)
% 107.60/57.09 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 107.60/57.09 |
% 107.60/57.09 +-Applying beta-rule and splitting (1535), into two cases.
% 107.60/57.09 |-Branch one:
% 107.60/57.09 | (1536) all_0_25_25 = e2
% 107.60/57.09 |
% 107.60/57.09 | Equations (1536) can reduce 473 to:
% 107.60/57.09 | (400) $false
% 107.60/57.09 |
% 107.60/57.09 |-The branch is then unsatisfiable
% 107.60/57.09 |-Branch two:
% 107.60/57.09 | (473) ~ (all_0_25_25 = e2)
% 107.60/57.10 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (9982), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (969) all_0_15_15 = e1
% 107.60/57.10 |
% 107.60/57.10 | Equations (969) can reduce 39 to:
% 107.60/57.10 | (3855) ~ (all_0_35_35 = e1)
% 107.60/57.10 |
% 107.60/57.10 | Simplifying 3855 yields:
% 107.60/57.10 | (1138) ~ (all_0_35_35 = e1)
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (128), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (724) all_0_35_35 = e4
% 107.60/57.10 |
% 107.60/57.10 | Equations (724) can reduce 509 to:
% 107.60/57.10 | (400) $false
% 107.60/57.10 |
% 107.60/57.10 |-The branch is then unsatisfiable
% 107.60/57.10 |-Branch two:
% 107.60/57.10 | (509) ~ (all_0_35_35 = e4)
% 107.60/57.10 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (727), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (728) all_0_35_35 = e3
% 107.60/57.10 |
% 107.60/57.10 | Equations (728) can reduce 719 to:
% 107.60/57.10 | (52) ~ (e3 = e2)
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (107), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (613) all_0_30_30 = e2
% 107.60/57.10 |
% 107.60/57.10 | Combining equations (646,613) yields a new equation:
% 107.60/57.10 | (525) e2 = e0
% 107.60/57.10 |
% 107.60/57.10 | Equations (525) can reduce 336 to:
% 107.60/57.10 | (400) $false
% 107.60/57.10 |
% 107.60/57.10 |-The branch is then unsatisfiable
% 107.60/57.10 |-Branch two:
% 107.60/57.10 | (617) ~ (all_0_30_30 = e2)
% 107.60/57.10 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 107.60/57.10 |
% 107.60/57.10 | Equations (646) can reduce 617 to:
% 107.60/57.10 | (496) ~ (e2 = e0)
% 107.60/57.10 |
% 107.60/57.10 | Simplifying 496 yields:
% 107.60/57.10 | (336) ~ (e2 = e0)
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (1539), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (613) all_0_30_30 = e2
% 107.60/57.10 |
% 107.60/57.10 | Combining equations (646,613) yields a new equation:
% 107.60/57.10 | (525) e2 = e0
% 107.60/57.10 |
% 107.60/57.10 | Equations (525) can reduce 336 to:
% 107.60/57.10 | (400) $false
% 107.60/57.10 |
% 107.60/57.10 |-The branch is then unsatisfiable
% 107.60/57.10 |-Branch two:
% 107.60/57.10 | (617) ~ (all_0_30_30 = e2)
% 107.60/57.10 | (732) all_0_35_35 = e2
% 107.60/57.10 |
% 107.60/57.10 | Combining equations (728,732) yields a new equation:
% 107.60/57.10 | (614) e3 = e2
% 107.60/57.10 |
% 107.60/57.10 | Simplifying 614 yields:
% 107.60/57.10 | (615) e3 = e2
% 107.60/57.10 |
% 107.60/57.10 | Equations (615) can reduce 52 to:
% 107.60/57.10 | (400) $false
% 107.60/57.10 |
% 107.60/57.10 |-The branch is then unsatisfiable
% 107.60/57.10 |-Branch two:
% 107.60/57.10 | (585) ~ (all_0_35_35 = e3)
% 107.60/57.10 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (731), into two cases.
% 107.60/57.10 |-Branch one:
% 107.60/57.10 | (732) all_0_35_35 = e2
% 107.60/57.10 |
% 107.60/57.10 | Equations (732) can reduce 719 to:
% 107.60/57.10 | (400) $false
% 107.60/57.10 |
% 107.60/57.10 |-The branch is then unsatisfiable
% 107.60/57.10 |-Branch two:
% 107.60/57.10 | (719) ~ (all_0_35_35 = e2)
% 107.60/57.10 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.60/57.10 |
% 107.60/57.10 +-Applying beta-rule and splitting (735), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (761) all_0_35_35 = e1
% 107.63/57.10 |
% 107.63/57.10 | Equations (761) can reduce 1138 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1138) ~ (all_0_35_35 = e1)
% 107.63/57.10 | (1139) all_0_35_35 = e0
% 107.63/57.10 |
% 107.63/57.10 | Equations (1139) can reduce 536 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (679) ~ (all_0_15_15 = e1)
% 107.63/57.10 | (736) all_0_15_15 = e0
% 107.63/57.10 |
% 107.63/57.10 | Equations (736) can reduce 739 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1835) ~ (all_0_38_38 = e4)
% 107.63/57.10 | (697) all_0_39_39 = e4
% 107.63/57.10 |
% 107.63/57.10 | Combining equations (697,705) yields a new equation:
% 107.63/57.10 | (1531) e4 = e2
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 1531 yields:
% 107.63/57.10 | (798) e4 = e2
% 107.63/57.10 |
% 107.63/57.10 | Equations (798) can reduce 21 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (650) ~ (all_0_30_30 = e0)
% 107.63/57.10 | (1139) all_0_35_35 = e0
% 107.63/57.10 |
% 107.63/57.10 | Equations (1139) can reduce 536 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Applying alpha-rule on (1462) yields:
% 107.63/57.10 | (1463) all_0_33_33 = e0
% 107.63/57.10 | (1252) all_0_39_39 = e1
% 107.63/57.10 | (421) ~ (all_0_34_34 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (1463) can reduce 2612 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Applying alpha-rule on (1469) yields:
% 107.63/57.10 | (1463) all_0_33_33 = e0
% 107.63/57.10 | (1252) all_0_39_39 = e1
% 107.63/57.10 | (540) ~ (all_0_38_38 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Equations (1463) can reduce 2612 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1141) ~ (all_0_18_18 = e0)
% 107.63/57.10 | (1187) all_0_19_19 = e0
% 107.63/57.10 |
% 107.63/57.10 | Equations (1187) can reduce 489 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (816) all_0_27_27 = e1
% 107.63/57.10 | (10443) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 226 to:
% 107.63/57.10 | (817) ~ (all_0_17_17 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 122 to:
% 107.63/57.10 | (1519) ~ (all_0_25_25 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 337 to:
% 107.63/57.10 | (433) ~ (all_0_28_28 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 433 yields:
% 107.63/57.10 | (434) ~ (all_0_28_28 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 53 to:
% 107.63/57.10 | (5048) ~ (all_0_29_29 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 5048 yields:
% 107.63/57.10 | (2946) ~ (all_0_29_29 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 167 to:
% 107.63/57.10 | (762) ~ (all_0_37_37 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 762 yields:
% 107.63/57.10 | (763) ~ (all_0_37_37 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Equations (816) can reduce 475 to:
% 107.63/57.10 | (766) ~ (e2 = e1)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 766 yields:
% 107.63/57.10 | (310) ~ (e2 = e1)
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (59), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (847) all_0_37_37 = e4
% 107.63/57.10 |
% 107.63/57.10 | Equations (847) can reduce 1002 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1002) ~ (all_0_37_37 = e4)
% 107.63/57.10 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (327), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (1184) all_0_17_17 = e0
% 107.63/57.10 |
% 107.63/57.10 | Equations (1184) can reduce 9 to:
% 107.63/57.10 | (10459) ~ (all_0_18_18 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 10459 yields:
% 107.63/57.10 | (1141) ~ (all_0_18_18 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Equations (1184) can reduce 282 to:
% 107.63/57.10 | (537) ~ (all_0_37_37 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 537 yields:
% 107.63/57.10 | (538) ~ (all_0_37_37 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Equations (1184) can reduce 396 to:
% 107.63/57.10 | (496) ~ (e2 = e0)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 496 yields:
% 107.63/57.10 | (336) ~ (e2 = e0)
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (1007), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (936) all_0_37_37 = e3
% 107.63/57.10 |
% 107.63/57.10 | Equations (936) can reduce 309 to:
% 107.63/57.10 | (585) ~ (all_0_35_35 = e3)
% 107.63/57.10 |
% 107.63/57.10 | Equations (936) can reduce 538 to:
% 107.63/57.10 | (80) ~ (e3 = e0)
% 107.63/57.10 |
% 107.63/57.10 | From (936) and (334) follows:
% 107.63/57.10 | (10468) op(e0, e2) = e3
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (88), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (941) all_0_29_29 = e4
% 107.63/57.10 |
% 107.63/57.10 | Equations (941) can reduce 7 to:
% 107.63/57.10 | (505) ~ (all_0_25_25 = e4)
% 107.63/57.10 |
% 107.63/57.10 | Equations (941) can reduce 291 to:
% 107.63/57.10 | (606) ~ (all_0_39_39 = e4)
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 606 yields:
% 107.63/57.10 | (607) ~ (all_0_39_39 = e4)
% 107.63/57.10 |
% 107.63/57.10 | Equations (941) can reduce 3115 to:
% 107.63/57.10 | (255) ~ (e4 = e3)
% 107.63/57.10 |
% 107.63/57.10 | Equations (941) can reduce 479 to:
% 107.63/57.10 | (21) ~ (e4 = e2)
% 107.63/57.10 |
% 107.63/57.10 | Equations (941) can reduce 493 to:
% 107.63/57.10 | (267) ~ (e4 = e0)
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (6683), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (6785) all_0_20_20 = e3
% 107.63/57.10 |
% 107.63/57.10 | Combining equations (500,6785) yields a new equation:
% 107.63/57.10 | (596) e4 = e3
% 107.63/57.10 |
% 107.63/57.10 | Simplifying 596 yields:
% 107.63/57.10 | (597) e4 = e3
% 107.63/57.10 |
% 107.63/57.10 | Equations (597) can reduce 255 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (1306) ~ (all_0_20_20 = e3)
% 107.63/57.10 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.63/57.10 |
% 107.63/57.10 +-Applying beta-rule and splitting (248), into two cases.
% 107.63/57.10 |-Branch one:
% 107.63/57.10 | (724) all_0_35_35 = e4
% 107.63/57.10 |
% 107.63/57.10 | Equations (724) can reduce 509 to:
% 107.63/57.10 | (400) $false
% 107.63/57.10 |
% 107.63/57.10 |-The branch is then unsatisfiable
% 107.63/57.10 |-Branch two:
% 107.63/57.10 | (509) ~ (all_0_35_35 = e4)
% 107.63/57.10 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.10 |
% 107.63/57.11 +-Applying beta-rule and splitting (6789), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1698) all_0_25_25 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (1698) can reduce 42 to:
% 107.63/57.11 | (572) ~ (all_0_15_15 = e3)
% 107.63/57.11 |
% 107.63/57.11 | Equations (1698) can reduce 505 to:
% 107.63/57.11 | (558) ~ (e4 = e3)
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 558 yields:
% 107.63/57.11 | (255) ~ (e4 = e3)
% 107.63/57.11 |
% 107.63/57.11 | Equations (1698) can reduce 473 to:
% 107.63/57.11 | (52) ~ (e3 = e2)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (740), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (742) all_0_20_20 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (500,742) yields a new equation:
% 107.63/57.11 | (743) e4 = e0
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 743 yields:
% 107.63/57.11 | (515) e4 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (515) can reduce 267 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (490) ~ (all_0_20_20 = e0)
% 107.63/57.11 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (500) can reduce 490 to:
% 107.63/57.11 | (267) ~ (e4 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (1091), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (2975) all_0_36_36 = e4
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (534,2975) yields a new equation:
% 107.63/57.11 | (515) e4 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (515) can reduce 267 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (466) ~ (all_0_36_36 = e4)
% 107.63/57.11 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (2979), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (847) all_0_37_37 = e4
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (847,936) yields a new equation:
% 107.63/57.11 | (596) e4 = e3
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 596 yields:
% 107.63/57.11 | (597) e4 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (597) can reduce 255 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (1002) ~ (all_0_37_37 = e4)
% 107.63/57.11 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.11 |
% 107.63/57.11 | Equations (936) can reduce 1002 to:
% 107.63/57.11 | (558) ~ (e4 = e3)
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 558 yields:
% 107.63/57.11 | (255) ~ (e4 = e3)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (93), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (749) all_0_25_25 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (1698,749) yields a new equation:
% 107.63/57.11 | (647) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 647 yields:
% 107.63/57.11 | (648) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (648) can reduce 80 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (1054) ~ (all_0_25_25 = e0)
% 107.63/57.11 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (1698) can reduce 1054 to:
% 107.63/57.11 | (80) ~ (e3 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (198), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1297) all_0_15_15 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (1297) can reduce 572 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (572) ~ (all_0_15_15 = e3)
% 107.63/57.11 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (5498), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (523) all_0_26_26 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (471,523) yields a new equation:
% 107.63/57.11 | (524) e2 = e0
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 524 yields:
% 107.63/57.11 | (525) e2 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (525) can reduce 336 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (527) ~ (all_0_26_26 = e0)
% 107.63/57.11 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (471) can reduce 527 to:
% 107.63/57.11 | (336) ~ (e2 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (747), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (749) all_0_25_25 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (1698,749) yields a new equation:
% 107.63/57.11 | (647) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 647 yields:
% 107.63/57.11 | (648) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (648) can reduce 80 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (1054) ~ (all_0_25_25 = e0)
% 107.63/57.11 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (1698) can reduce 1054 to:
% 107.63/57.11 | (80) ~ (e3 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (2769), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (3117) all_0_16_16 = e3
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (3117,454) yields a new equation:
% 107.63/57.11 | (597) e4 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (597) can reduce 255 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (3121) ~ (all_0_16_16 = e3)
% 107.63/57.11 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (3122), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (855) all_0_17_17 = e3
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (1184,855) yields a new equation:
% 107.63/57.11 | (648) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (648) can reduce 80 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (919) ~ (all_0_17_17 = e3)
% 107.63/57.11 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (200), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (857) ~ (all_0_27_27 = e1)
% 107.63/57.11 |
% 107.63/57.11 | Equations (816) can reduce 857 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (816) all_0_27_27 = e1
% 107.63/57.11 | (3647) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (1201), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (646) all_0_30_30 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (646) can reduce 150 to:
% 107.63/57.11 | (9509) ~ (all_0_33_33 = e0)
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 9509 yields:
% 107.63/57.11 | (2612) ~ (all_0_33_33 = e0)
% 107.63/57.11 |
% 107.63/57.11 | Equations (646) can reduce 417 to:
% 107.63/57.11 | (498) ~ (e1 = e0)
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 498 yields:
% 107.63/57.11 | (40) ~ (e1 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (2983), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1846) all_0_38_38 = e4
% 107.63/57.11 |
% 107.63/57.11 | Equations (1846) can reduce 540 to:
% 107.63/57.11 | (267) ~ (e4 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (107), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (613) all_0_30_30 = e2
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (646,613) yields a new equation:
% 107.63/57.11 | (525) e2 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (525) can reduce 336 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (617) ~ (all_0_30_30 = e2)
% 107.63/57.11 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (618), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (619) all_0_31_31 = e2
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (414,619) yields a new equation:
% 107.63/57.11 | (621) e2 = e1
% 107.63/57.11 |
% 107.63/57.11 | Equations (621) can reduce 310 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (623) ~ (all_0_31_31 = e2)
% 107.63/57.11 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (624), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (625) all_0_32_32 = e2
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (609,625) yields a new equation:
% 107.63/57.11 | (1531) e4 = e2
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 1531 yields:
% 107.63/57.11 | (798) e4 = e2
% 107.63/57.11 |
% 107.63/57.11 | Equations (798) can reduce 21 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (448) ~ (all_0_32_32 = e2)
% 107.63/57.11 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (628), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (637) all_0_33_33 = e2
% 107.63/57.11 |
% 107.63/57.11 | Equations (637) can reduce 2612 to:
% 107.63/57.11 | (336) ~ (e2 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (3647), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (10575) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (10575), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (872) all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6
% 107.63/57.11 |
% 107.63/57.11 | Applying alpha-rule on (872) yields:
% 107.63/57.11 | (867) all_0_7_7 = all_0_28_28
% 107.63/57.11 | (874) ~ (all_0_6_6 = e3)
% 107.63/57.11 | (869) op(all_0_28_28, e2) = all_0_6_6
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (3176), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1147) all_0_18_18 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (1147) can reduce 1141 to:
% 107.63/57.11 | (80) ~ (e3 = e0)
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (127), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (671) ~ (all_0_33_33 = e2)
% 107.63/57.11 |
% 107.63/57.11 | Equations (637) can reduce 671 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (637) all_0_33_33 = e2
% 107.63/57.11 | (695) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (340), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (756) all_0_18_18 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (756,1147) yields a new equation:
% 107.63/57.11 | (648) e3 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (648) can reduce 80 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (1141) ~ (all_0_18_18 = e0)
% 107.63/57.11 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (1142), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (4698) all_0_23_23 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (4698,427) yields a new equation:
% 107.63/57.11 | (531) e1 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (531) can reduce 40 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (4702) ~ (all_0_23_23 = e0)
% 107.63/57.11 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (4703), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1125) all_0_28_28 = e0
% 107.63/57.11 |
% 107.63/57.11 | From (1125) and (869) follows:
% 107.63/57.11 | (10597) op(e0, e2) = all_0_6_6
% 107.63/57.11 |
% 107.63/57.11 | Instantiating formula (29) with e0, e2, e3, all_0_6_6 and discharging atoms op(e0, e2) = all_0_6_6, op(e0, e2) = e3, yields:
% 107.63/57.11 | (879) all_0_6_6 = e3
% 107.63/57.11 |
% 107.63/57.11 | Equations (879) can reduce 874 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (758) ~ (all_0_28_28 = e0)
% 107.63/57.11 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 107.63/57.11 |
% 107.63/57.11 +-Applying beta-rule and splitting (4707), into two cases.
% 107.63/57.11 |-Branch one:
% 107.63/57.11 | (1463) all_0_33_33 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (1463,637) yields a new equation:
% 107.63/57.11 | (525) e2 = e0
% 107.63/57.11 |
% 107.63/57.11 | Equations (525) can reduce 336 to:
% 107.63/57.11 | (400) $false
% 107.63/57.11 |
% 107.63/57.11 |-The branch is then unsatisfiable
% 107.63/57.11 |-Branch two:
% 107.63/57.11 | (2612) ~ (all_0_33_33 = e0)
% 107.63/57.11 | (3225) all_0_38_38 = e0
% 107.63/57.11 |
% 107.63/57.11 | Combining equations (1846,3225) yields a new equation:
% 107.63/57.11 | (743) e4 = e0
% 107.63/57.11 |
% 107.63/57.11 | Simplifying 743 yields:
% 107.63/57.11 | (515) e4 = e0
% 107.63/57.11 |
% 107.63/57.12 | Equations (515) can reduce 267 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (1189) ~ (all_0_18_18 = e3)
% 107.63/57.12 | (1159) all_0_19_19 = e3
% 107.63/57.12 |
% 107.63/57.12 | Equations (1159) can reduce 1150 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (10613) all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)
% 107.63/57.12 |
% 107.63/57.12 | Applying alpha-rule on (10613) yields:
% 107.63/57.12 | (867) all_0_7_7 = all_0_28_28
% 107.63/57.12 | (758) ~ (all_0_28_28 = e0)
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (5504), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (995) all_0_27_27 = e0
% 107.63/57.12 |
% 107.63/57.12 | Combining equations (816,995) yields a new equation:
% 107.63/57.12 | (530) e1 = e0
% 107.63/57.12 |
% 107.63/57.12 | Simplifying 530 yields:
% 107.63/57.12 | (531) e1 = e0
% 107.63/57.12 |
% 107.63/57.12 | Equations (531) can reduce 40 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (660) ~ (all_0_27_27 = e0)
% 107.63/57.12 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (5510), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (1125) all_0_28_28 = e0
% 107.63/57.12 |
% 107.63/57.12 | Equations (1125) can reduce 758 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (758) ~ (all_0_28_28 = e0)
% 107.63/57.12 | (5206) all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 | Combining equations (941,5206) yields a new equation:
% 107.63/57.12 | (743) e4 = e0
% 107.63/57.12 |
% 107.63/57.12 | Simplifying 743 yields:
% 107.63/57.12 | (515) e4 = e0
% 107.63/57.12 |
% 107.63/57.12 | Equations (515) can reduce 267 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (10629) all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4)
% 107.63/57.12 |
% 107.63/57.12 | Applying alpha-rule on (10629) yields:
% 107.63/57.12 | (888) all_0_8_8 = all_0_32_32
% 107.63/57.12 | (604) ~ (all_0_32_32 = e4)
% 107.63/57.12 |
% 107.63/57.12 | Equations (609) can reduce 604 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (671) ~ (all_0_33_33 = e2)
% 107.63/57.12 | (2551) all_0_34_34 = e2
% 107.63/57.12 |
% 107.63/57.12 | Combining equations (2551,2571) yields a new equation:
% 107.63/57.12 | (615) e3 = e2
% 107.63/57.12 |
% 107.63/57.12 | Equations (615) can reduce 52 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (1835) ~ (all_0_38_38 = e4)
% 107.63/57.12 | (697) all_0_39_39 = e4
% 107.63/57.12 |
% 107.63/57.12 | Equations (697) can reduce 607 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (650) ~ (all_0_30_30 = e0)
% 107.63/57.12 | (1139) all_0_35_35 = e0
% 107.63/57.12 |
% 107.63/57.12 | Equations (1139) can reduce 536 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (577) ~ (all_0_25_25 = e3)
% 107.63/57.12 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (7020), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (575) all_0_30_30 = e3
% 107.63/57.12 |
% 107.63/57.12 | Equations (575) can reduce 1800 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (1800) ~ (all_0_30_30 = e3)
% 107.63/57.12 | (728) all_0_35_35 = e3
% 107.63/57.12 |
% 107.63/57.12 | Equations (728) can reduce 585 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (603) ~ (all_0_29_29 = e4)
% 107.63/57.12 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (5059), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (3056) all_0_29_29 = e3
% 107.63/57.12 |
% 107.63/57.12 | Equations (3056) can reduce 3115 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (3115) ~ (all_0_29_29 = e3)
% 107.63/57.12 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (5198), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (5199) all_0_29_29 = e2
% 107.63/57.12 |
% 107.63/57.12 | Equations (5199) can reduce 479 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (479) ~ (all_0_29_29 = e2)
% 107.63/57.12 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 +-Applying beta-rule and splitting (5202), into two cases.
% 107.63/57.12 |-Branch one:
% 107.63/57.12 | (4599) all_0_29_29 = e1
% 107.63/57.12 |
% 107.63/57.12 | Equations (4599) can reduce 2946 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.12 |-Branch two:
% 107.63/57.12 | (2946) ~ (all_0_29_29 = e1)
% 107.63/57.12 | (5206) all_0_29_29 = e0
% 107.63/57.12 |
% 107.63/57.12 | Equations (5206) can reduce 493 to:
% 107.63/57.12 | (400) $false
% 107.63/57.12 |
% 107.63/57.12 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (1127) ~ (all_0_37_37 = e3)
% 107.63/57.13 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (1128), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (1129) all_0_37_37 = e2
% 107.63/57.13 |
% 107.63/57.13 | Equations (1129) can reduce 450 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (450) ~ (all_0_37_37 = e2)
% 107.63/57.13 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (1132), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (1112) all_0_37_37 = e1
% 107.63/57.13 |
% 107.63/57.13 | Equations (1112) can reduce 763 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (763) ~ (all_0_37_37 = e1)
% 107.63/57.13 | (1136) all_0_37_37 = e0
% 107.63/57.13 |
% 107.63/57.13 | Equations (1136) can reduce 538 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (659) ~ (all_0_17_17 = e0)
% 107.63/57.13 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (1207), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (514) all_0_16_16 = e0
% 107.63/57.13 |
% 107.63/57.13 | Combining equations (514,454) yields a new equation:
% 107.63/57.13 | (515) e4 = e0
% 107.63/57.13 |
% 107.63/57.13 | Equations (515) can reduce 267 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (517) ~ (all_0_16_16 = e0)
% 107.63/57.13 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 107.63/57.13 |
% 107.63/57.13 | Equations (454) can reduce 517 to:
% 107.63/57.13 | (267) ~ (e4 = e0)
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (241), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (793) all_0_17_17 = e4
% 107.63/57.13 |
% 107.63/57.13 | Equations (793) can reduce 456 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (456) ~ (all_0_17_17 = e4)
% 107.63/57.13 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (88), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (941) all_0_29_29 = e4
% 107.63/57.13 |
% 107.63/57.13 | Equations (941) can reduce 291 to:
% 107.63/57.13 | (606) ~ (all_0_39_39 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Simplifying 606 yields:
% 107.63/57.13 | (607) ~ (all_0_39_39 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Equations (941) can reduce 479 to:
% 107.63/57.13 | (21) ~ (e4 = e2)
% 107.63/57.13 |
% 107.63/57.13 | Equations (941) can reduce 493 to:
% 107.63/57.13 | (267) ~ (e4 = e0)
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (248), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (724) all_0_35_35 = e4
% 107.63/57.13 |
% 107.63/57.13 | Equations (724) can reduce 509 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (509) ~ (all_0_35_35 = e4)
% 107.63/57.13 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (1091), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (2975) all_0_36_36 = e4
% 107.63/57.13 |
% 107.63/57.13 | Combining equations (2975,534) yields a new equation:
% 107.63/57.13 | (743) e4 = e0
% 107.63/57.13 |
% 107.63/57.13 | Simplifying 743 yields:
% 107.63/57.13 | (515) e4 = e0
% 107.63/57.13 |
% 107.63/57.13 | Equations (515) can reduce 267 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (466) ~ (all_0_36_36 = e4)
% 107.63/57.13 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (1172), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (855) all_0_17_17 = e3
% 107.63/57.13 |
% 107.63/57.13 | Equations (855) can reduce 9 to:
% 107.63/57.13 | (1719) ~ (all_0_18_18 = e3)
% 107.63/57.13 |
% 107.63/57.13 | Simplifying 1719 yields:
% 107.63/57.13 | (1189) ~ (all_0_18_18 = e3)
% 107.63/57.13 |
% 107.63/57.13 | Equations (855) can reduce 456 to:
% 107.63/57.13 | (558) ~ (e4 = e3)
% 107.63/57.13 |
% 107.63/57.13 | Simplifying 558 yields:
% 107.63/57.13 | (255) ~ (e4 = e3)
% 107.63/57.13 |
% 107.63/57.13 | Equations (855) can reduce 817 to:
% 107.63/57.13 | (298) ~ (e3 = e1)
% 107.63/57.13 |
% 107.63/57.13 | Equations (855) can reduce 659 to:
% 107.63/57.13 | (80) ~ (e3 = e0)
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (2979), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (847) all_0_37_37 = e4
% 107.63/57.13 |
% 107.63/57.13 | Equations (847) can reduce 1002 to:
% 107.63/57.13 | (400) $false
% 107.63/57.13 |
% 107.63/57.13 |-The branch is then unsatisfiable
% 107.63/57.13 |-Branch two:
% 107.63/57.13 | (1002) ~ (all_0_37_37 = e4)
% 107.63/57.13 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.63/57.13 |
% 107.63/57.13 +-Applying beta-rule and splitting (2983), into two cases.
% 107.63/57.13 |-Branch one:
% 107.63/57.13 | (1846) all_0_38_38 = e4
% 107.63/57.13 |
% 107.63/57.13 | Equations (1846) can reduce 38 to:
% 107.63/57.13 | (458) ~ (all_0_18_18 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Equations (1846) can reduce 207 to:
% 107.63/57.13 | (883) ~ (all_0_28_28 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Equations (1846) can reduce 199 to:
% 107.63/57.13 | (594) ~ (all_0_33_33 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Equations (1846) can reduce 231 to:
% 107.63/57.13 | (606) ~ (all_0_39_39 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Simplifying 606 yields:
% 107.63/57.13 | (607) ~ (all_0_39_39 = e4)
% 107.63/57.13 |
% 107.63/57.13 | Equations (1846) can reduce 438 to:
% 107.63/57.13 | (56) ~ (e4 = e1)
% 107.63/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (254), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (728) all_0_35_35 = e3
% 107.67/57.13 |
% 107.67/57.13 | Equations (728) can reduce 39 to:
% 107.67/57.13 | (572) ~ (all_0_15_15 = e3)
% 107.67/57.13 |
% 107.67/57.13 | Equations (728) can reduce 63 to:
% 107.67/57.13 | (10723) ~ (all_0_39_39 = e3)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 10723 yields:
% 107.67/57.13 | (571) ~ (all_0_39_39 = e3)
% 107.67/57.13 |
% 107.67/57.13 | Equations (728) can reduce 536 to:
% 107.67/57.13 | (80) ~ (e3 = e0)
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (102), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1147) all_0_18_18 = e3
% 107.67/57.13 |
% 107.67/57.13 | Equations (1147) can reduce 1189 to:
% 107.67/57.13 | (400) $false
% 107.67/57.13 |
% 107.67/57.13 |-The branch is then unsatisfiable
% 107.67/57.13 |-Branch two:
% 107.67/57.13 | (1189) ~ (all_0_18_18 = e3)
% 107.67/57.13 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (114), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (969) all_0_15_15 = e1
% 107.67/57.13 |
% 107.67/57.13 | Equations (969) can reduce 90 to:
% 107.67/57.13 | (1549) ~ (all_0_18_18 = e1)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 1549 yields:
% 107.67/57.13 | (428) ~ (all_0_18_18 = e1)
% 107.67/57.13 |
% 107.67/57.13 | Equations (969) can reduce 572 to:
% 107.67/57.13 | (824) ~ (e3 = e1)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 824 yields:
% 107.67/57.13 | (298) ~ (e3 = e1)
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1212), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1184) all_0_17_17 = e0
% 107.67/57.13 |
% 107.67/57.13 | Combining equations (855,1184) yields a new equation:
% 107.67/57.13 | (647) e3 = e0
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 647 yields:
% 107.67/57.13 | (648) e3 = e0
% 107.67/57.13 |
% 107.67/57.13 | Equations (648) can reduce 80 to:
% 107.67/57.13 | (400) $false
% 107.67/57.13 |
% 107.67/57.13 |-The branch is then unsatisfiable
% 107.67/57.13 |-Branch two:
% 107.67/57.13 | (659) ~ (all_0_17_17 = e0)
% 107.67/57.13 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1216), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (756) all_0_18_18 = e0
% 107.67/57.13 |
% 107.67/57.13 | Equations (756) can reduce 33 to:
% 107.67/57.13 | (9509) ~ (all_0_33_33 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 9509 yields:
% 107.67/57.13 | (2612) ~ (all_0_33_33 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Equations (756) can reduce 458 to:
% 107.67/57.13 | (543) ~ (e4 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 543 yields:
% 107.67/57.13 | (267) ~ (e4 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Equations (756) can reduce 1189 to:
% 107.67/57.13 | (665) ~ (e3 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 665 yields:
% 107.67/57.13 | (80) ~ (e3 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Equations (756) can reduce 428 to:
% 107.67/57.13 | (498) ~ (e1 = e0)
% 107.67/57.13 |
% 107.67/57.13 | Simplifying 498 yields:
% 107.67/57.13 | (40) ~ (e1 = e0)
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (200), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (857) ~ (all_0_27_27 = e1)
% 107.67/57.13 |
% 107.67/57.13 | Equations (816) can reduce 857 to:
% 107.67/57.13 | (400) $false
% 107.67/57.13 |
% 107.67/57.13 |-The branch is then unsatisfiable
% 107.67/57.13 |-Branch two:
% 107.67/57.13 | (816) all_0_27_27 = e1
% 107.67/57.13 | (3647) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (251), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1278), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1279), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1280), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1281), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1282), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1283), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1284), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1285), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 107.67/57.13 |
% 107.67/57.13 +-Applying beta-rule and splitting (1286), into two cases.
% 107.67/57.13 |-Branch one:
% 107.67/57.13 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1287), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1288), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1289), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1290), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1291), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1292), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1293), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1294), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 107.67/57.14 |
% 107.67/57.14 +-Applying beta-rule and splitting (1295), into two cases.
% 107.67/57.14 |-Branch one:
% 107.67/57.14 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1296) yields:
% 107.67/57.14 | (1297) all_0_15_15 = e3
% 107.67/57.14 | (550) all_0_21_21 = e4
% 107.67/57.14 | (1299) ~ (all_0_16_16 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (1297,969) yields a new equation:
% 107.67/57.14 | (1113) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 1113 yields:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (928) can reduce 298 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1303) yields:
% 107.67/57.14 | (1297) all_0_15_15 = e3
% 107.67/57.14 | (550) all_0_21_21 = e4
% 107.67/57.14 | (1306) ~ (all_0_20_20 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (1297,969) yields a new equation:
% 107.67/57.14 | (1113) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 1113 yields:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (928) can reduce 298 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1310) yields:
% 107.67/57.14 | (711) all_0_15_15 = e2
% 107.67/57.14 | (804) all_0_27_27 = e4
% 107.67/57.14 | (456) ~ (all_0_17_17 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (711,969) yields a new equation:
% 107.67/57.14 | (620) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 620 yields:
% 107.67/57.14 | (621) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (621) can reduce 310 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1315) yields:
% 107.67/57.14 | (711) all_0_15_15 = e2
% 107.67/57.14 | (804) all_0_27_27 = e4
% 107.67/57.14 | (473) ~ (all_0_25_25 = e2)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (711,969) yields a new equation:
% 107.67/57.14 | (620) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 620 yields:
% 107.67/57.14 | (621) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (621) can reduce 310 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1320) yields:
% 107.67/57.14 | (969) all_0_15_15 = e1
% 107.67/57.14 | (1322) all_0_33_33 = e4
% 107.67/57.14 | (458) ~ (all_0_18_18 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Equations (1322) can reduce 594 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1326) yields:
% 107.67/57.14 | (969) all_0_15_15 = e1
% 107.67/57.14 | (1322) all_0_33_33 = e4
% 107.67/57.14 | (417) ~ (all_0_30_30 = e1)
% 107.67/57.14 |
% 107.67/57.14 | Equations (1322) can reduce 594 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1332) yields:
% 107.67/57.14 | (736) all_0_15_15 = e0
% 107.67/57.14 | (697) all_0_39_39 = e4
% 107.67/57.14 | (460) ~ (all_0_19_19 = e4)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (736,969) yields a new equation:
% 107.67/57.14 | (531) e1 = e0
% 107.67/57.14 |
% 107.67/57.14 | Equations (531) can reduce 40 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1339) yields:
% 107.67/57.14 | (736) all_0_15_15 = e0
% 107.67/57.14 | (697) all_0_39_39 = e4
% 107.67/57.14 | (536) ~ (all_0_35_35 = e0)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (736,969) yields a new equation:
% 107.67/57.14 | (531) e1 = e0
% 107.67/57.14 |
% 107.67/57.14 | Equations (531) can reduce 40 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1346) yields:
% 107.67/57.14 | (1347) all_0_21_21 = e2
% 107.67/57.14 | (808) all_0_27_27 = e3
% 107.67/57.14 | (925) ~ (all_0_22_22 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,1347) yields a new equation:
% 107.67/57.14 | (614) e3 = e2
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 614 yields:
% 107.67/57.14 | (615) e3 = e2
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (816,808) yields a new equation:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (928,615) yields a new equation:
% 107.67/57.14 | (621) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (621) can reduce 310 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1352) yields:
% 107.67/57.14 | (1347) all_0_21_21 = e2
% 107.67/57.14 | (808) all_0_27_27 = e3
% 107.67/57.14 | (1355) ~ (all_0_26_26 = e2)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,1347) yields a new equation:
% 107.67/57.14 | (614) e3 = e2
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 614 yields:
% 107.67/57.14 | (615) e3 = e2
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (816,808) yields a new equation:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (928,615) yields a new equation:
% 107.67/57.14 | (621) e2 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (621) can reduce 310 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1358) yields:
% 107.67/57.14 | (1359) all_0_21_21 = e1
% 107.67/57.14 | (1360) all_0_33_33 = e3
% 107.67/57.14 | (1361) ~ (all_0_23_23 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,1359) yields a new equation:
% 107.67/57.14 | (1113) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 1113 yields:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (928) can reduce 298 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1367) yields:
% 107.67/57.14 | (1359) all_0_21_21 = e1
% 107.67/57.14 | (1360) all_0_33_33 = e3
% 107.67/57.14 | (1370) ~ (all_0_31_31 = e1)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,1359) yields a new equation:
% 107.67/57.14 | (1113) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 1113 yields:
% 107.67/57.14 | (928) e3 = e1
% 107.67/57.14 |
% 107.67/57.14 | Equations (928) can reduce 298 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1376) yields:
% 107.67/57.14 | (519) all_0_21_21 = e0
% 107.67/57.14 | (701) all_0_39_39 = e3
% 107.67/57.14 | (1379) ~ (all_0_24_24 = e3)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,519) yields a new equation:
% 107.67/57.14 | (647) e3 = e0
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 647 yields:
% 107.67/57.14 | (648) e3 = e0
% 107.67/57.14 |
% 107.67/57.14 | Equations (648) can reduce 80 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1385) yields:
% 107.67/57.14 | (519) all_0_21_21 = e0
% 107.67/57.14 | (701) all_0_39_39 = e3
% 107.67/57.14 | (1388) ~ (all_0_36_36 = e0)
% 107.67/57.14 |
% 107.67/57.14 | Combining equations (557,519) yields a new equation:
% 107.67/57.14 | (647) e3 = e0
% 107.67/57.14 |
% 107.67/57.14 | Simplifying 647 yields:
% 107.67/57.14 | (648) e3 = e0
% 107.67/57.14 |
% 107.67/57.14 | Equations (648) can reduce 80 to:
% 107.67/57.14 | (400) $false
% 107.67/57.14 |
% 107.67/57.14 |-The branch is then unsatisfiable
% 107.67/57.14 |-Branch two:
% 107.67/57.14 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 107.67/57.14 |
% 107.67/57.14 | Applying alpha-rule on (1394) yields:
% 107.67/57.14 | (816) all_0_27_27 = e1
% 107.67/57.14 | (637) all_0_33_33 = e2
% 107.67/57.14 | (477) ~ (all_0_28_28 = e2)
% 107.67/57.14 |
% 107.68/57.14 | Equations (637) can reduce 2612 to:
% 107.68/57.14 | (336) ~ (e2 = e0)
% 107.68/57.14 |
% 107.68/57.14 +-Applying beta-rule and splitting (4262), into two cases.
% 107.68/57.14 |-Branch one:
% 107.68/57.14 | (4273) all_0_22_22 = e0
% 107.68/57.14 |
% 107.68/57.14 | Combining equations (4273,442) yields a new equation:
% 107.68/57.14 | (525) e2 = e0
% 107.68/57.14 |
% 107.68/57.14 | Equations (525) can reduce 336 to:
% 107.68/57.14 | (400) $false
% 107.68/57.14 |
% 107.68/57.14 |-The branch is then unsatisfiable
% 107.68/57.14 |-Branch two:
% 107.68/57.14 | (4277) ~ (all_0_22_22 = e0)
% 107.68/57.14 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.14 |
% 107.68/57.14 +-Applying beta-rule and splitting (4278), into two cases.
% 107.68/57.14 |-Branch one:
% 107.68/57.14 | (995) all_0_27_27 = e0
% 107.68/57.14 |
% 107.68/57.14 | Combining equations (816,995) yields a new equation:
% 107.68/57.14 | (530) e1 = e0
% 107.68/57.14 |
% 107.68/57.14 | Simplifying 530 yields:
% 107.68/57.14 | (531) e1 = e0
% 107.68/57.14 |
% 107.68/57.14 | Equations (531) can reduce 40 to:
% 107.68/57.14 | (400) $false
% 107.68/57.14 |
% 107.68/57.14 |-The branch is then unsatisfiable
% 107.68/57.14 |-Branch two:
% 107.68/57.14 | (660) ~ (all_0_27_27 = e0)
% 107.68/57.14 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.14 |
% 107.68/57.14 +-Applying beta-rule and splitting (4292), into two cases.
% 107.68/57.14 |-Branch one:
% 107.68/57.14 | (658) all_0_32_32 = e0
% 107.68/57.14 |
% 107.68/57.14 | Combining equations (658,609) yields a new equation:
% 107.68/57.14 | (515) e4 = e0
% 107.68/57.14 |
% 107.68/57.14 | Equations (515) can reduce 267 to:
% 107.68/57.14 | (400) $false
% 107.68/57.14 |
% 107.68/57.14 |-The branch is then unsatisfiable
% 107.68/57.14 |-Branch two:
% 107.68/57.14 | (889) ~ (all_0_32_32 = e0)
% 107.68/57.14 | (1136) all_0_37_37 = e0
% 107.68/57.14 |
% 107.68/57.14 | Equations (1136) can reduce 538 to:
% 107.68/57.14 | (400) $false
% 107.68/57.14 |
% 107.68/57.14 |-The branch is then unsatisfiable
% 107.68/57.14 |-Branch two:
% 107.68/57.14 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 107.68/57.14 |
% 107.68/57.14 | Applying alpha-rule on (1421) yields:
% 107.68/57.14 | (816) all_0_27_27 = e1
% 107.68/57.14 | (637) all_0_33_33 = e2
% 107.68/57.14 | (419) ~ (all_0_32_32 = e1)
% 107.68/57.14 |
% 107.68/57.14 | Equations (637) can reduce 2612 to:
% 107.68/57.14 | (336) ~ (e2 = e0)
% 107.68/57.14 |
% 107.68/57.14 +-Applying beta-rule and splitting (4262), into two cases.
% 107.68/57.14 |-Branch one:
% 107.68/57.15 | (4273) all_0_22_22 = e0
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (4273,442) yields a new equation:
% 107.68/57.15 | (525) e2 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (525) can reduce 336 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (4277) ~ (all_0_22_22 = e0)
% 107.68/57.15 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4278), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (995) all_0_27_27 = e0
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (816,995) yields a new equation:
% 107.68/57.15 | (530) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 530 yields:
% 107.68/57.15 | (531) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (531) can reduce 40 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (660) ~ (all_0_27_27 = e0)
% 107.68/57.15 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4292), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (658) all_0_32_32 = e0
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (658,609) yields a new equation:
% 107.68/57.15 | (515) e4 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (515) can reduce 267 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (889) ~ (all_0_32_32 = e0)
% 107.68/57.15 | (1136) all_0_37_37 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (1136) can reduce 538 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 107.68/57.15 |
% 107.68/57.15 | Applying alpha-rule on (1448) yields:
% 107.68/57.15 | (995) all_0_27_27 = e0
% 107.68/57.15 | (705) all_0_39_39 = e2
% 107.68/57.15 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (816,995) yields a new equation:
% 107.68/57.15 | (530) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 530 yields:
% 107.68/57.15 | (531) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (531) can reduce 40 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 107.68/57.15 |
% 107.68/57.15 | Applying alpha-rule on (1455) yields:
% 107.68/57.15 | (995) all_0_27_27 = e0
% 107.68/57.15 | (705) all_0_39_39 = e2
% 107.68/57.15 | (538) ~ (all_0_37_37 = e0)
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (816,995) yields a new equation:
% 107.68/57.15 | (530) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 530 yields:
% 107.68/57.15 | (531) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (531) can reduce 40 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 107.68/57.15 |
% 107.68/57.15 | Applying alpha-rule on (1462) yields:
% 107.68/57.15 | (1463) all_0_33_33 = e0
% 107.68/57.15 | (1252) all_0_39_39 = e1
% 107.68/57.15 | (421) ~ (all_0_34_34 = e1)
% 107.68/57.15 |
% 107.68/57.15 | Equations (1463) can reduce 2612 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 107.68/57.15 |
% 107.68/57.15 | Applying alpha-rule on (1469) yields:
% 107.68/57.15 | (1463) all_0_33_33 = e0
% 107.68/57.15 | (1252) all_0_39_39 = e1
% 107.68/57.15 | (540) ~ (all_0_38_38 = e0)
% 107.68/57.15 |
% 107.68/57.15 | Equations (1463) can reduce 2612 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1141) ~ (all_0_18_18 = e0)
% 107.68/57.15 | (1187) all_0_19_19 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (1187) can reduce 489 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (679) ~ (all_0_15_15 = e1)
% 107.68/57.15 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (148), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (761) all_0_35_35 = e1
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (728,761) yields a new equation:
% 107.68/57.15 | (1113) e3 = e1
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 1113 yields:
% 107.68/57.15 | (928) e3 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (928) can reduce 298 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1138) ~ (all_0_35_35 = e1)
% 107.68/57.15 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4931), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (4950) all_0_36_36 = e1
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (534,4950) yields a new equation:
% 107.68/57.15 | (531) e1 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (531) can reduce 40 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (423) ~ (all_0_36_36 = e1)
% 107.68/57.15 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4955), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (1112) all_0_37_37 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (1112) can reduce 763 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (763) ~ (all_0_37_37 = e1)
% 107.68/57.15 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (5023), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (3222) all_0_38_38 = e1
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (3222,1846) yields a new equation:
% 107.68/57.15 | (838) e4 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (838) can reduce 56 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (438) ~ (all_0_38_38 = e1)
% 107.68/57.15 | (1252) all_0_39_39 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (1252) can reduce 607 to:
% 107.68/57.15 | (764) ~ (e4 = e1)
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 764 yields:
% 107.68/57.15 | (56) ~ (e4 = e1)
% 107.68/57.15 |
% 107.68/57.15 | Equations (1252) can reduce 571 to:
% 107.68/57.15 | (824) ~ (e3 = e1)
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 824 yields:
% 107.68/57.15 | (298) ~ (e3 = e1)
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (1402), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (1490) all_0_20_20 = e1
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (500,1490) yields a new equation:
% 107.68/57.15 | (975) e4 = e1
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 975 yields:
% 107.68/57.15 | (838) e4 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (838) can reduce 56 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (429) ~ (all_0_20_20 = e1)
% 107.68/57.15 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (1494), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (1495) all_0_25_25 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (1495) can reduce 1519 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (1519) ~ (all_0_25_25 = e1)
% 107.68/57.15 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (1520), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (1521) all_0_30_30 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (1521) can reduce 417 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (417) ~ (all_0_30_30 = e1)
% 107.68/57.15 | (761) all_0_35_35 = e1
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (761,728) yields a new equation:
% 107.68/57.15 | (928) e3 = e1
% 107.68/57.15 |
% 107.68/57.15 | Equations (928) can reduce 298 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (585) ~ (all_0_35_35 = e3)
% 107.68/57.15 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4535), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (4536) all_0_36_36 = e3
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (534,4536) yields a new equation:
% 107.68/57.15 | (648) e3 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (648) can reduce 80 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (4540) ~ (all_0_36_36 = e3)
% 107.68/57.15 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.68/57.15 |
% 107.68/57.15 | Equations (534) can reduce 4540 to:
% 107.68/57.15 | (665) ~ (e3 = e0)
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 665 yields:
% 107.68/57.15 | (80) ~ (e3 = e0)
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (1212), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (1184) all_0_17_17 = e0
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (1184,855) yields a new equation:
% 107.68/57.15 | (648) e3 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (648) can reduce 80 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (659) ~ (all_0_17_17 = e0)
% 107.68/57.15 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 107.68/57.15 |
% 107.68/57.15 +-Applying beta-rule and splitting (4262), into two cases.
% 107.68/57.15 |-Branch one:
% 107.68/57.15 | (4273) all_0_22_22 = e0
% 107.68/57.15 |
% 107.68/57.15 | Combining equations (442,4273) yields a new equation:
% 107.68/57.15 | (524) e2 = e0
% 107.68/57.15 |
% 107.68/57.15 | Simplifying 524 yields:
% 107.68/57.15 | (525) e2 = e0
% 107.68/57.15 |
% 107.68/57.15 | Equations (525) can reduce 336 to:
% 107.68/57.15 | (400) $false
% 107.68/57.15 |
% 107.68/57.15 |-The branch is then unsatisfiable
% 107.68/57.15 |-Branch two:
% 107.68/57.15 | (4277) ~ (all_0_22_22 = e0)
% 107.68/57.15 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.15 |
% 107.68/57.16 | Equations (442) can reduce 4277 to:
% 107.68/57.16 | (336) ~ (e2 = e0)
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (6683), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (6785) all_0_20_20 = e3
% 107.68/57.16 |
% 107.68/57.16 | Combining equations (500,6785) yields a new equation:
% 107.68/57.16 | (596) e4 = e3
% 107.68/57.16 |
% 107.68/57.16 | Simplifying 596 yields:
% 107.68/57.16 | (597) e4 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (597) can reduce 255 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (1306) ~ (all_0_20_20 = e3)
% 107.68/57.16 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1216), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (756) all_0_18_18 = e0
% 107.68/57.16 |
% 107.68/57.16 | Equations (756) can reduce 302 to:
% 107.68/57.16 | (757) ~ (all_0_28_28 = e0)
% 107.68/57.16 |
% 107.68/57.16 | Simplifying 757 yields:
% 107.68/57.16 | (758) ~ (all_0_28_28 = e0)
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (6789), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1698) all_0_25_25 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (1698) can reduce 185 to:
% 107.68/57.16 | (7483) ~ (all_0_28_28 = e3)
% 107.68/57.16 |
% 107.68/57.16 | Simplifying 7483 yields:
% 107.68/57.16 | (893) ~ (all_0_28_28 = e3)
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (2588), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1360) all_0_33_33 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (1360) can reduce 574 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (574) ~ (all_0_33_33 = e3)
% 107.68/57.16 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (54), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1191) all_0_18_18 = e2
% 107.68/57.16 |
% 107.68/57.16 | Combining equations (756,1191) yields a new equation:
% 107.68/57.16 | (525) e2 = e0
% 107.68/57.16 |
% 107.68/57.16 | Equations (525) can reduce 336 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (638) ~ (all_0_18_18 = e2)
% 107.68/57.16 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (2592), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (637) all_0_33_33 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (637) can reduce 230 to:
% 107.68/57.16 | (477) ~ (all_0_28_28 = e2)
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (86), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (854) all_0_28_28 = e4
% 107.68/57.16 |
% 107.68/57.16 | Equations (854) can reduce 883 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (883) ~ (all_0_28_28 = e4)
% 107.68/57.16 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1021), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1106) all_0_28_28 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (1106) can reduce 893 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (893) ~ (all_0_28_28 = e3)
% 107.68/57.16 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1117), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1118) all_0_28_28 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (1118) can reduce 477 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (477) ~ (all_0_28_28 = e2)
% 107.68/57.16 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1121), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1122) all_0_28_28 = e1
% 107.68/57.16 |
% 107.68/57.16 | Equations (1122) can reduce 434 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (434) ~ (all_0_28_28 = e1)
% 107.68/57.16 | (1125) all_0_28_28 = e0
% 107.68/57.16 |
% 107.68/57.16 | Equations (1125) can reduce 758 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (671) ~ (all_0_33_33 = e2)
% 107.68/57.16 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (3929), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (6267) all_0_23_23 = e2
% 107.68/57.16 |
% 107.68/57.16 | Combining equations (6267,427) yields a new equation:
% 107.68/57.16 | (620) e2 = e1
% 107.68/57.16 |
% 107.68/57.16 | Simplifying 620 yields:
% 107.68/57.16 | (621) e2 = e1
% 107.68/57.16 |
% 107.68/57.16 | Equations (621) can reduce 310 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (6271) ~ (all_0_23_23 = e2)
% 107.68/57.16 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (6272), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1118) all_0_28_28 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (1118) can reduce 477 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (477) ~ (all_0_28_28 = e2)
% 107.68/57.16 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (6293), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (637) all_0_33_33 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (637) can reduce 671 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (671) ~ (all_0_33_33 = e2)
% 107.68/57.16 | (3218) all_0_38_38 = e2
% 107.68/57.16 |
% 107.68/57.16 | Combining equations (3218,1846) yields a new equation:
% 107.68/57.16 | (798) e4 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (798) can reduce 21 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (577) ~ (all_0_25_25 = e3)
% 107.68/57.16 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (7020), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (575) all_0_30_30 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (575) can reduce 1800 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (1800) ~ (all_0_30_30 = e3)
% 107.68/57.16 | (728) all_0_35_35 = e3
% 107.68/57.16 |
% 107.68/57.16 | Equations (728) can reduce 585 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (1141) ~ (all_0_18_18 = e0)
% 107.68/57.16 | (1187) all_0_19_19 = e0
% 107.68/57.16 |
% 107.68/57.16 | Equations (1187) can reduce 489 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (1835) ~ (all_0_38_38 = e4)
% 107.68/57.16 | (697) all_0_39_39 = e4
% 107.68/57.16 |
% 107.68/57.16 | Equations (697) can reduce 607 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (919) ~ (all_0_17_17 = e3)
% 107.68/57.16 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1176), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1177) all_0_17_17 = e2
% 107.68/57.16 |
% 107.68/57.16 | Equations (1177) can reduce 396 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (396) ~ (all_0_17_17 = e2)
% 107.68/57.16 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (1180), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (980) all_0_17_17 = e1
% 107.68/57.16 |
% 107.68/57.16 | Equations (980) can reduce 817 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (817) ~ (all_0_17_17 = e1)
% 107.68/57.16 | (1184) all_0_17_17 = e0
% 107.68/57.16 |
% 107.68/57.16 | Equations (1184) can reduce 659 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (603) ~ (all_0_29_29 = e4)
% 107.68/57.16 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.68/57.16 |
% 107.68/57.16 +-Applying beta-rule and splitting (250), into two cases.
% 107.68/57.16 |-Branch one:
% 107.68/57.16 | (1151) all_0_19_19 = e4
% 107.68/57.16 |
% 107.68/57.16 | Equations (1151) can reduce 460 to:
% 107.68/57.16 | (400) $false
% 107.68/57.16 |
% 107.68/57.16 |-The branch is then unsatisfiable
% 107.68/57.16 |-Branch two:
% 107.68/57.16 | (460) ~ (all_0_19_19 = e4)
% 107.68/57.17 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (2780), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (2956) all_0_24_24 = e4
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (488,2956) yields a new equation:
% 107.68/57.17 | (515) e4 = e0
% 107.68/57.17 |
% 107.68/57.17 | Equations (515) can reduce 267 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (2960) ~ (all_0_24_24 = e4)
% 107.68/57.17 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (2961), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (941) all_0_29_29 = e4
% 107.68/57.17 |
% 107.68/57.17 | Equations (941) can reduce 603 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (603) ~ (all_0_29_29 = e4)
% 107.68/57.17 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (3061), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (601) all_0_34_34 = e4
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (601,2571) yields a new equation:
% 107.68/57.17 | (596) e4 = e3
% 107.68/57.17 |
% 107.68/57.17 | Simplifying 596 yields:
% 107.68/57.17 | (597) e4 = e3
% 107.68/57.17 |
% 107.68/57.17 | Equations (597) can reduce 255 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (2554) ~ (all_0_34_34 = e4)
% 107.68/57.17 | (697) all_0_39_39 = e4
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (168), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (1163) all_0_19_19 = e2
% 107.68/57.17 |
% 107.68/57.17 | Equations (1163) can reduce 174 to:
% 107.68/57.17 | (478) ~ (all_0_29_29 = e2)
% 107.68/57.17 |
% 107.68/57.17 | Simplifying 478 yields:
% 107.68/57.17 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (262), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (829) all_0_19_19 = e1
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (829,1163) yields a new equation:
% 107.68/57.17 | (621) e2 = e1
% 107.68/57.17 |
% 107.68/57.17 | Equations (621) can reduce 310 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (943) ~ (all_0_19_19 = e1)
% 107.68/57.17 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (944), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (8658) all_0_24_24 = e1
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (488,8658) yields a new equation:
% 107.68/57.17 | (531) e1 = e0
% 107.68/57.17 |
% 107.68/57.17 | Equations (531) can reduce 40 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (432) ~ (all_0_24_24 = e1)
% 107.68/57.17 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (5059), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (3056) all_0_29_29 = e3
% 107.68/57.17 |
% 107.68/57.17 | Equations (3056) can reduce 3115 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (3115) ~ (all_0_29_29 = e3)
% 107.68/57.17 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (8663), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (4599) all_0_29_29 = e1
% 107.68/57.17 |
% 107.68/57.17 | Equations (4599) can reduce 2946 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (2946) ~ (all_0_29_29 = e1)
% 107.68/57.17 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (5198), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (5199) all_0_29_29 = e2
% 107.68/57.17 |
% 107.68/57.17 | Equations (5199) can reduce 479 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.17 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (5202), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (4599) all_0_29_29 = e1
% 107.68/57.17 |
% 107.68/57.17 | Equations (4599) can reduce 2946 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (2946) ~ (all_0_29_29 = e1)
% 107.68/57.17 | (5206) all_0_29_29 = e0
% 107.68/57.17 |
% 107.68/57.17 | Equations (5206) can reduce 493 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (706) ~ (all_0_19_19 = e2)
% 107.68/57.17 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (7045), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (7046) all_0_24_24 = e2
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (7046,488) yields a new equation:
% 107.68/57.17 | (524) e2 = e0
% 107.68/57.17 |
% 107.68/57.17 | Simplifying 524 yields:
% 107.68/57.17 | (525) e2 = e0
% 107.68/57.17 |
% 107.68/57.17 | Equations (525) can reduce 336 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (446) ~ (all_0_24_24 = e2)
% 107.68/57.17 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (7050), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (5199) all_0_29_29 = e2
% 107.68/57.17 |
% 107.68/57.17 | Equations (5199) can reduce 479 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.17 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.17 |
% 107.68/57.17 +-Applying beta-rule and splitting (7056), into two cases.
% 107.68/57.17 |-Branch one:
% 107.68/57.17 | (2551) all_0_34_34 = e2
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (2571,2551) yields a new equation:
% 107.68/57.17 | (614) e3 = e2
% 107.68/57.17 |
% 107.68/57.17 | Simplifying 614 yields:
% 107.68/57.17 | (615) e3 = e2
% 107.68/57.17 |
% 107.68/57.17 | Equations (615) can reduce 52 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.17 |-Branch two:
% 107.68/57.17 | (4340) ~ (all_0_34_34 = e2)
% 107.68/57.17 | (705) all_0_39_39 = e2
% 107.68/57.17 |
% 107.68/57.17 | Combining equations (705,697) yields a new equation:
% 107.68/57.17 | (798) e4 = e2
% 107.68/57.17 |
% 107.68/57.17 | Equations (798) can reduce 21 to:
% 107.68/57.17 | (400) $false
% 107.68/57.17 |
% 107.68/57.17 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (604) ~ (all_0_32_32 = e4)
% 107.68/57.18 | (4348) all_0_33_33 = e4 | all_0_34_34 = e4
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (4348), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (1322) all_0_33_33 = e4
% 107.68/57.18 |
% 107.68/57.18 | Equations (1322) can reduce 594 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (594) ~ (all_0_33_33 = e4)
% 107.68/57.18 | (601) all_0_34_34 = e4
% 107.68/57.18 |
% 107.68/57.18 | Equations (601) can reduce 2554 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (736) all_0_15_15 = e0
% 107.68/57.18 | (2763) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e2))
% 107.68/57.18 |
% 107.68/57.18 | Equations (736) can reduce 344 to:
% 107.68/57.18 | (11164) ~ (all_0_17_17 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 11164 yields:
% 107.68/57.18 | (659) ~ (all_0_17_17 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (736) can reduce 319 to:
% 107.68/57.18 | (3657) ~ (all_0_19_19 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 3657 yields:
% 107.68/57.18 | (489) ~ (all_0_19_19 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (736) can reduce 3 to:
% 107.68/57.18 | (11168) ~ (all_0_30_30 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 11168 yields:
% 107.68/57.18 | (650) ~ (all_0_30_30 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (736) can reduce 39 to:
% 107.68/57.18 | (752) ~ (all_0_35_35 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 752 yields:
% 107.68/57.18 | (536) ~ (all_0_35_35 = e0)
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (6692), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (575) all_0_30_30 = e3
% 107.68/57.18 |
% 107.68/57.18 | Equations (575) can reduce 1800 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (1800) ~ (all_0_30_30 = e3)
% 107.68/57.18 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (11175), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (613) all_0_30_30 = e2
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 62 to:
% 107.68/57.18 | (473) ~ (all_0_25_25 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 301 to:
% 107.68/57.18 | (447) ~ (all_0_32_32 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 447 yields:
% 107.68/57.18 | (448) ~ (all_0_32_32 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 150 to:
% 107.68/57.18 | (6746) ~ (all_0_33_33 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 6746 yields:
% 107.68/57.18 | (671) ~ (all_0_33_33 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 202 to:
% 107.68/57.18 | (11182) ~ (all_0_34_34 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 11182 yields:
% 107.68/57.18 | (4340) ~ (all_0_34_34 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 15 to:
% 107.68/57.18 | (718) ~ (all_0_35_35 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 718 yields:
% 107.68/57.18 | (719) ~ (all_0_35_35 = e2)
% 107.68/57.18 |
% 107.68/57.18 | Equations (613) can reduce 417 to:
% 107.68/57.18 | (310) ~ (e2 = e1)
% 107.68/57.18 |
% 107.68/57.18 | From (613) and (165) follows:
% 107.68/57.18 | (11187) op(e1, e4) = e2
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (2588), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (1360) all_0_33_33 = e3
% 107.68/57.18 |
% 107.68/57.18 | Equations (1360) can reduce 574 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (574) ~ (all_0_33_33 = e3)
% 107.68/57.18 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (2592), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (637) all_0_33_33 = e2
% 107.68/57.18 |
% 107.68/57.18 | Equations (637) can reduce 671 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (671) ~ (all_0_33_33 = e2)
% 107.68/57.18 | (2596) all_0_33_33 = e1 | all_0_33_33 = e0
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (2596), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (2597) all_0_33_33 = e1
% 107.68/57.18 |
% 107.68/57.18 | Equations (2597) can reduce 436 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (436) ~ (all_0_33_33 = e1)
% 107.68/57.18 | (1463) all_0_33_33 = e0
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 33 to:
% 107.68/57.18 | (1141) ~ (all_0_18_18 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 105 to:
% 107.68/57.18 | (889) ~ (all_0_32_32 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 155 to:
% 107.68/57.18 | (494) ~ (all_0_34_34 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 494 yields:
% 107.68/57.18 | (495) ~ (all_0_34_34 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 199 to:
% 107.68/57.18 | (539) ~ (all_0_38_38 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 539 yields:
% 107.68/57.18 | (540) ~ (all_0_38_38 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 594 to:
% 107.68/57.18 | (543) ~ (e4 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 543 yields:
% 107.68/57.18 | (267) ~ (e4 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 671 to:
% 107.68/57.18 | (496) ~ (e2 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 496 yields:
% 107.68/57.18 | (336) ~ (e2 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Equations (1463) can reduce 436 to:
% 107.68/57.18 | (498) ~ (e1 = e0)
% 107.68/57.18 |
% 107.68/57.18 | Simplifying 498 yields:
% 107.68/57.18 | (40) ~ (e1 = e0)
% 107.68/57.18 |
% 107.68/57.18 +-Applying beta-rule and splitting (327), into two cases.
% 107.68/57.18 |-Branch one:
% 107.68/57.18 | (1184) all_0_17_17 = e0
% 107.68/57.18 |
% 107.68/57.18 | Equations (1184) can reduce 659 to:
% 107.68/57.18 | (400) $false
% 107.68/57.18 |
% 107.68/57.18 |-The branch is then unsatisfiable
% 107.68/57.18 |-Branch two:
% 107.68/57.18 | (659) ~ (all_0_17_17 = e0)
% 107.68/57.18 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (4262), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (4273) all_0_22_22 = e0
% 107.68/57.19 |
% 107.68/57.19 | Combining equations (4273,442) yields a new equation:
% 107.68/57.19 | (525) e2 = e0
% 107.68/57.19 |
% 107.68/57.19 | Equations (525) can reduce 336 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (4277) ~ (all_0_22_22 = e0)
% 107.68/57.19 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (4278), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (995) all_0_27_27 = e0
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 226 to:
% 107.68/57.19 | (659) ~ (all_0_17_17 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 122 to:
% 107.68/57.19 | (1054) ~ (all_0_25_25 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 337 to:
% 107.68/57.19 | (757) ~ (all_0_28_28 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 757 yields:
% 107.68/57.19 | (758) ~ (all_0_28_28 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 53 to:
% 107.68/57.19 | (492) ~ (all_0_29_29 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 492 yields:
% 107.68/57.19 | (493) ~ (all_0_29_29 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 170 to:
% 107.68/57.19 | (11228) ~ (all_0_32_32 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 11228 yields:
% 107.68/57.19 | (889) ~ (all_0_32_32 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 167 to:
% 107.68/57.19 | (537) ~ (all_0_37_37 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 537 yields:
% 107.68/57.19 | (538) ~ (all_0_37_37 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 573 to:
% 107.68/57.19 | (665) ~ (e3 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 665 yields:
% 107.68/57.19 | (80) ~ (e3 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 475 to:
% 107.68/57.19 | (496) ~ (e2 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 496 yields:
% 107.68/57.19 | (336) ~ (e2 = e0)
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (70), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2627) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (277), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2615) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (236), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (609) all_0_32_32 = e4
% 107.68/57.19 |
% 107.68/57.19 | Equations (609) can reduce 242 to:
% 107.68/57.19 | (456) ~ (all_0_17_17 = e4)
% 107.68/57.19 |
% 107.68/57.19 | Equations (609) can reduce 132 to:
% 107.68/57.19 | (2566) ~ (all_0_34_34 = e4)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 2566 yields:
% 107.68/57.19 | (2554) ~ (all_0_34_34 = e4)
% 107.68/57.19 |
% 107.68/57.19 | Equations (609) can reduce 211 to:
% 107.68/57.19 | (1001) ~ (all_0_37_37 = e4)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 1001 yields:
% 107.68/57.19 | (1002) ~ (all_0_37_37 = e4)
% 107.68/57.19 |
% 107.68/57.19 | Equations (609) can reduce 889 to:
% 107.68/57.19 | (267) ~ (e4 = e0)
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (6679), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (6724) all_0_31_31 = e3
% 107.68/57.19 |
% 107.68/57.19 | Combining equations (414,6724) yields a new equation:
% 107.68/57.19 | (928) e3 = e1
% 107.68/57.19 |
% 107.68/57.19 | Equations (928) can reduce 298 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (6728) ~ (all_0_31_31 = e3)
% 107.68/57.19 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (263), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (601) all_0_34_34 = e4
% 107.68/57.19 |
% 107.68/57.19 | Equations (601) can reduce 2554 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (2554) ~ (all_0_34_34 = e4)
% 107.68/57.19 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (6729), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (629) all_0_32_32 = e3
% 107.68/57.19 |
% 107.68/57.19 | Combining equations (609,629) yields a new equation:
% 107.68/57.19 | (596) e4 = e3
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 596 yields:
% 107.68/57.19 | (597) e4 = e3
% 107.68/57.19 |
% 107.68/57.19 | Equations (597) can reduce 255 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (579) ~ (all_0_32_32 = e3)
% 107.68/57.19 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (2555), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2571) all_0_34_34 = e3
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 295 to:
% 107.68/57.19 | (1150) ~ (all_0_19_19 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 84 to:
% 107.68/57.19 | (3115) ~ (all_0_29_29 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 85 to:
% 107.68/57.19 | (10723) ~ (all_0_39_39 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 10723 yields:
% 107.68/57.19 | (571) ~ (all_0_39_39 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 2554 to:
% 107.68/57.19 | (558) ~ (e4 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 558 yields:
% 107.68/57.19 | (255) ~ (e4 = e3)
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 4340 to:
% 107.68/57.19 | (52) ~ (e3 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Equations (2571) can reduce 495 to:
% 107.68/57.19 | (80) ~ (e3 = e0)
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (224), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2743) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (214), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2623) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (5), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (660) ~ (all_0_27_27 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (995) can reduce 660 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (995) all_0_27_27 = e0
% 107.68/57.19 | (11286) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (176), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2751) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (159), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (739) ~ (all_0_15_15 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (736) can reduce 739 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (736) all_0_15_15 = e0
% 107.68/57.19 | (11294) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (18), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (2612) ~ (all_0_33_33 = e0)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1463) can reduce 2612 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.19 |-The branch is then unsatisfiable
% 107.68/57.19 |-Branch two:
% 107.68/57.19 | (1463) all_0_33_33 = e0
% 107.68/57.19 | (2619) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (54), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (1191) all_0_18_18 = e2
% 107.68/57.19 |
% 107.68/57.19 | Equations (1191) can reduce 9 to:
% 107.68/57.19 | (396) ~ (all_0_17_17 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1191) can reduce 172 to:
% 107.68/57.19 | (716) ~ (all_0_19_19 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 716 yields:
% 107.68/57.19 | (706) ~ (all_0_19_19 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1191) can reduce 458 to:
% 107.68/57.19 | (482) ~ (e4 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Simplifying 482 yields:
% 107.68/57.19 | (21) ~ (e4 = e2)
% 107.68/57.19 |
% 107.68/57.19 | Equations (1191) can reduce 1141 to:
% 107.68/57.19 | (336) ~ (e2 = e0)
% 107.68/57.19 |
% 107.68/57.19 +-Applying beta-rule and splitting (332), into two cases.
% 107.68/57.19 |-Branch one:
% 107.68/57.19 | (1151) all_0_19_19 = e4
% 107.68/57.19 |
% 107.68/57.19 | Equations (1151) can reduce 460 to:
% 107.68/57.19 | (400) $false
% 107.68/57.19 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (460) ~ (all_0_19_19 = e4)
% 107.68/57.20 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (121), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (732) all_0_35_35 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (732) can reduce 719 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (719) ~ (all_0_35_35 = e2)
% 107.68/57.20 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (198), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1297) all_0_15_15 = e3
% 107.68/57.20 |
% 107.68/57.20 | Combining equations (1297,736) yields a new equation:
% 107.68/57.20 | (647) e3 = e0
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 647 yields:
% 107.68/57.20 | (648) e3 = e0
% 107.68/57.20 |
% 107.68/57.20 | Equations (648) can reduce 80 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (572) ~ (all_0_15_15 = e3)
% 107.68/57.20 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (1154), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1159) all_0_19_19 = e3
% 107.68/57.20 |
% 107.68/57.20 | Equations (1159) can reduce 1150 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (1150) ~ (all_0_19_19 = e3)
% 107.68/57.20 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (2769), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (3117) all_0_16_16 = e3
% 107.68/57.20 |
% 107.68/57.20 | Combining equations (3117,454) yields a new equation:
% 107.68/57.20 | (597) e4 = e3
% 107.68/57.20 |
% 107.68/57.20 | Equations (597) can reduce 255 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (3121) ~ (all_0_16_16 = e3)
% 107.68/57.20 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 107.68/57.20 |
% 107.68/57.20 | Equations (454) can reduce 3121 to:
% 107.68/57.20 | (255) ~ (e4 = e3)
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (1477), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1478) all_0_36_36 = e2
% 107.68/57.20 |
% 107.68/57.20 | Combining equations (1478,534) yields a new equation:
% 107.68/57.20 | (524) e2 = e0
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 524 yields:
% 107.68/57.20 | (525) e2 = e0
% 107.68/57.20 |
% 107.68/57.20 | Equations (525) can reduce 336 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (481) ~ (all_0_36_36 = e2)
% 107.68/57.20 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (534) can reduce 481 to:
% 107.68/57.20 | (496) ~ (e2 = e0)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 496 yields:
% 107.68/57.20 | (336) ~ (e2 = e0)
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (168), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1163) all_0_19_19 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (1163) can reduce 706 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (706) ~ (all_0_19_19 = e2)
% 107.68/57.20 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (7045), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (7046) all_0_24_24 = e2
% 107.68/57.20 |
% 107.68/57.20 | Combining equations (488,7046) yields a new equation:
% 107.68/57.20 | (525) e2 = e0
% 107.68/57.20 |
% 107.68/57.20 | Equations (525) can reduce 336 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (446) ~ (all_0_24_24 = e2)
% 107.68/57.20 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (7050), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (5199) all_0_29_29 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (5199) can reduce 479 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.20 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (7056), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (2551) all_0_34_34 = e2
% 107.68/57.20 |
% 107.68/57.20 | Combining equations (2571,2551) yields a new equation:
% 107.68/57.20 | (614) e3 = e2
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 614 yields:
% 107.68/57.20 | (615) e3 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (615) can reduce 52 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (4340) ~ (all_0_34_34 = e2)
% 107.68/57.20 | (705) all_0_39_39 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (705) can reduce 94 to:
% 107.68/57.20 | (706) ~ (all_0_19_19 = e2)
% 107.68/57.20 |
% 107.68/57.20 | Equations (705) can reduce 291 to:
% 107.68/57.20 | (479) ~ (all_0_29_29 = e2)
% 107.68/57.20 |
% 107.68/57.20 | Equations (705) can reduce 63 to:
% 107.68/57.20 | (719) ~ (all_0_35_35 = e2)
% 107.68/57.20 |
% 107.68/57.20 | Equations (705) can reduce 571 to:
% 107.68/57.20 | (643) ~ (e3 = e2)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 643 yields:
% 107.68/57.20 | (52) ~ (e3 = e2)
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (250), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1151) all_0_19_19 = e4
% 107.68/57.20 |
% 107.68/57.20 | Equations (1151) can reduce 460 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (460) ~ (all_0_19_19 = e4)
% 107.68/57.20 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (1162), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1163) all_0_19_19 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (1163) can reduce 706 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (706) ~ (all_0_19_19 = e2)
% 107.68/57.20 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (248), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (724) all_0_35_35 = e4
% 107.68/57.20 |
% 107.68/57.20 | Equations (724) can reduce 509 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (509) ~ (all_0_35_35 = e4)
% 107.68/57.20 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (1166), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (829) all_0_19_19 = e1
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 131 to:
% 107.68/57.20 | (817) ~ (all_0_17_17 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 174 to:
% 107.68/57.20 | (5048) ~ (all_0_29_29 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 5048 yields:
% 107.68/57.20 | (2946) ~ (all_0_29_29 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 460 to:
% 107.68/57.20 | (764) ~ (e4 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 764 yields:
% 107.68/57.20 | (56) ~ (e4 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 1150 to:
% 107.68/57.20 | (824) ~ (e3 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 824 yields:
% 107.68/57.20 | (298) ~ (e3 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 706 to:
% 107.68/57.20 | (766) ~ (e2 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 766 yields:
% 107.68/57.20 | (310) ~ (e2 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Equations (829) can reduce 489 to:
% 107.68/57.20 | (40) ~ (e1 = e0)
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (43), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (1495) all_0_25_25 = e1
% 107.68/57.20 |
% 107.68/57.20 | Equations (1495) can reduce 194 to:
% 107.68/57.20 | (3855) ~ (all_0_35_35 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Simplifying 3855 yields:
% 107.68/57.20 | (1138) ~ (all_0_35_35 = e1)
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (128), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (724) all_0_35_35 = e4
% 107.68/57.20 |
% 107.68/57.20 | Equations (724) can reduce 509 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (509) ~ (all_0_35_35 = e4)
% 107.68/57.20 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (727), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (728) all_0_35_35 = e3
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (324), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (739) ~ (all_0_15_15 = e0)
% 107.68/57.20 |
% 107.68/57.20 | Equations (736) can reduce 739 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (736) all_0_15_15 = e0
% 107.68/57.20 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (338), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (739) ~ (all_0_15_15 = e0)
% 107.68/57.20 |
% 107.68/57.20 | Equations (736) can reduce 739 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (736) all_0_15_15 = e0
% 107.68/57.20 | (11400) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (11400), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (11401) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 107.68/57.20 |
% 107.68/57.20 +-Applying beta-rule and splitting (11401), into two cases.
% 107.68/57.20 |-Branch one:
% 107.68/57.20 | (11402) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12
% 107.68/57.20 |
% 107.68/57.20 | Applying alpha-rule on (11402) yields:
% 107.68/57.20 | (3542) all_0_13_13 = all_0_19_19
% 107.68/57.20 | (1785) ~ (all_0_12_12 = e2)
% 107.68/57.20 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 107.68/57.20 |
% 107.68/57.20 | From (829) and (3544) follows:
% 107.68/57.20 | (1043) op(e1, e4) = all_0_12_12
% 107.68/57.20 |
% 107.68/57.20 | Instantiating formula (29) with e1, e4, all_0_12_12, e2 and discharging atoms op(e1, e4) = all_0_12_12, op(e1, e4) = e2, yields:
% 107.68/57.20 | (1790) all_0_12_12 = e2
% 107.68/57.20 |
% 107.68/57.20 | Equations (1790) can reduce 1785 to:
% 107.68/57.20 | (400) $false
% 107.68/57.20 |
% 107.68/57.20 |-The branch is then unsatisfiable
% 107.68/57.20 |-Branch two:
% 107.68/57.20 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 107.68/57.20 |
% 107.68/57.20 | Applying alpha-rule on (3548) yields:
% 107.68/57.21 | (3542) all_0_13_13 = all_0_19_19
% 107.68/57.21 | (943) ~ (all_0_19_19 = e1)
% 107.68/57.21 |
% 107.68/57.21 | Equations (829) can reduce 943 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 107.68/57.21 |
% 107.68/57.21 | Applying alpha-rule on (11413) yields:
% 107.68/57.21 | (3553) all_0_14_14 = all_0_35_35
% 107.68/57.21 | (585) ~ (all_0_35_35 = e3)
% 107.68/57.21 |
% 107.68/57.21 | Equations (728) can reduce 585 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (585) ~ (all_0_35_35 = e3)
% 107.68/57.21 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (731), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (732) all_0_35_35 = e2
% 107.68/57.21 |
% 107.68/57.21 | Equations (732) can reduce 719 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (719) ~ (all_0_35_35 = e2)
% 107.68/57.21 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (735), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (761) all_0_35_35 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (761) can reduce 1138 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (1138) ~ (all_0_35_35 = e1)
% 107.68/57.21 | (1139) all_0_35_35 = e0
% 107.68/57.21 |
% 107.68/57.21 | Equations (1139) can reduce 536 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (1519) ~ (all_0_25_25 = e1)
% 107.68/57.21 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (114), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (969) all_0_15_15 = e1
% 107.68/57.21 |
% 107.68/57.21 | Combining equations (969,736) yields a new equation:
% 107.68/57.21 | (530) e1 = e0
% 107.68/57.21 |
% 107.68/57.21 | Simplifying 530 yields:
% 107.68/57.21 | (531) e1 = e0
% 107.68/57.21 |
% 107.68/57.21 | Equations (531) can reduce 40 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (679) ~ (all_0_15_15 = e1)
% 107.68/57.21 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (241), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (793) all_0_17_17 = e4
% 107.68/57.21 |
% 107.68/57.21 | Equations (793) can reduce 456 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (456) ~ (all_0_17_17 = e4)
% 107.68/57.21 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (4556), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (4559) all_0_26_26 = e1
% 107.68/57.21 |
% 107.68/57.21 | Combining equations (471,4559) yields a new equation:
% 107.68/57.21 | (620) e2 = e1
% 107.68/57.21 |
% 107.68/57.21 | Simplifying 620 yields:
% 107.68/57.21 | (621) e2 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (621) can reduce 310 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (416) ~ (all_0_26_26 = e1)
% 107.68/57.21 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (471) can reduce 416 to:
% 107.68/57.21 | (310) ~ (e2 = e1)
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (1402), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (1490) all_0_20_20 = e1
% 107.68/57.21 |
% 107.68/57.21 | Combining equations (500,1490) yields a new equation:
% 107.68/57.21 | (975) e4 = e1
% 107.68/57.21 |
% 107.68/57.21 | Simplifying 975 yields:
% 107.68/57.21 | (838) e4 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (838) can reduce 56 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (429) ~ (all_0_20_20 = e1)
% 107.68/57.21 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (1494), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (1495) all_0_25_25 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (1495) can reduce 1519 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (1519) ~ (all_0_25_25 = e1)
% 107.68/57.21 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (1520), into two cases.
% 107.68/57.21 |-Branch one:
% 107.68/57.21 | (1521) all_0_30_30 = e1
% 107.68/57.21 |
% 107.68/57.21 | Combining equations (613,1521) yields a new equation:
% 107.68/57.21 | (620) e2 = e1
% 107.68/57.21 |
% 107.68/57.21 | Simplifying 620 yields:
% 107.68/57.21 | (621) e2 = e1
% 107.68/57.21 |
% 107.68/57.21 | Equations (621) can reduce 310 to:
% 107.68/57.21 | (400) $false
% 107.68/57.21 |
% 107.68/57.21 |-The branch is then unsatisfiable
% 107.68/57.21 |-Branch two:
% 107.68/57.21 | (417) ~ (all_0_30_30 = e1)
% 107.68/57.21 | (761) all_0_35_35 = e1
% 107.68/57.21 |
% 107.68/57.21 +-Applying beta-rule and splitting (6683), into two cases.
% 107.68/57.21 |-Branch one:
% 107.74/57.21 | (6785) all_0_20_20 = e3
% 107.74/57.21 |
% 107.74/57.21 | Combining equations (6785,500) yields a new equation:
% 107.74/57.21 | (597) e4 = e3
% 107.74/57.21 |
% 107.74/57.21 | Equations (597) can reduce 255 to:
% 107.74/57.21 | (400) $false
% 107.74/57.21 |
% 107.74/57.21 |-The branch is then unsatisfiable
% 107.74/57.21 |-Branch two:
% 107.74/57.21 | (1306) ~ (all_0_20_20 = e3)
% 107.74/57.21 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (1091), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (2975) all_0_36_36 = e4
% 107.74/57.21 |
% 107.74/57.21 | Combining equations (534,2975) yields a new equation:
% 107.74/57.21 | (515) e4 = e0
% 107.74/57.21 |
% 107.74/57.21 | Equations (515) can reduce 267 to:
% 107.74/57.21 | (400) $false
% 107.74/57.21 |
% 107.74/57.21 |-The branch is then unsatisfiable
% 107.74/57.21 |-Branch two:
% 107.74/57.21 | (466) ~ (all_0_36_36 = e4)
% 107.74/57.21 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (6789), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (1698) all_0_25_25 = e3
% 107.74/57.21 |
% 107.74/57.21 | Equations (1698) can reduce 7 to:
% 107.74/57.21 | (3114) ~ (all_0_29_29 = e3)
% 107.74/57.21 |
% 107.74/57.21 | Simplifying 3114 yields:
% 107.74/57.21 | (3115) ~ (all_0_29_29 = e3)
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (2979), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (847) all_0_37_37 = e4
% 107.74/57.21 |
% 107.74/57.21 | Equations (847) can reduce 1002 to:
% 107.74/57.21 | (400) $false
% 107.74/57.21 |
% 107.74/57.21 |-The branch is then unsatisfiable
% 107.74/57.21 |-Branch two:
% 107.74/57.21 | (1002) ~ (all_0_37_37 = e4)
% 107.74/57.21 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (2983), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (1846) all_0_38_38 = e4
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (3122), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (855) all_0_17_17 = e3
% 107.74/57.21 |
% 107.74/57.21 | Equations (855) can reduce 282 to:
% 107.74/57.21 | (6232) ~ (all_0_37_37 = e3)
% 107.74/57.21 |
% 107.74/57.21 | Simplifying 6232 yields:
% 107.74/57.21 | (1127) ~ (all_0_37_37 = e3)
% 107.74/57.21 |
% 107.74/57.21 | Equations (855) can reduce 396 to:
% 107.74/57.21 | (52) ~ (e3 = e2)
% 107.74/57.21 |
% 107.74/57.21 | Equations (855) can reduce 817 to:
% 107.74/57.21 | (298) ~ (e3 = e1)
% 107.74/57.21 |
% 107.74/57.21 | Equations (855) can reduce 659 to:
% 107.74/57.21 | (80) ~ (e3 = e0)
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (88), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (941) all_0_29_29 = e4
% 107.74/57.21 |
% 107.74/57.21 | Equations (941) can reduce 3115 to:
% 107.74/57.21 | (255) ~ (e4 = e3)
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (180), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (1250) ~ (all_0_39_39 = e2)
% 107.74/57.21 |
% 107.74/57.21 | Equations (705) can reduce 1250 to:
% 107.74/57.21 | (400) $false
% 107.74/57.21 |
% 107.74/57.21 |-The branch is then unsatisfiable
% 107.74/57.21 |-Branch two:
% 107.74/57.21 | (705) all_0_39_39 = e2
% 107.74/57.21 | (11492) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e1)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e4))
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (254), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (728) all_0_35_35 = e3
% 107.74/57.21 |
% 107.74/57.21 | Combining equations (728,761) yields a new equation:
% 107.74/57.21 | (1113) e3 = e1
% 107.74/57.21 |
% 107.74/57.21 | Simplifying 1113 yields:
% 107.74/57.21 | (928) e3 = e1
% 107.74/57.21 |
% 107.74/57.21 | Equations (928) can reduce 298 to:
% 107.74/57.21 | (400) $false
% 107.74/57.21 |
% 107.74/57.21 |-The branch is then unsatisfiable
% 107.74/57.21 |-Branch two:
% 107.74/57.21 | (585) ~ (all_0_35_35 = e3)
% 107.74/57.21 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.74/57.21 |
% 107.74/57.21 +-Applying beta-rule and splitting (4535), into two cases.
% 107.74/57.21 |-Branch one:
% 107.74/57.21 | (4536) all_0_36_36 = e3
% 107.74/57.21 |
% 107.74/57.22 | Combining equations (4536,534) yields a new equation:
% 107.74/57.22 | (647) e3 = e0
% 107.74/57.22 |
% 107.74/57.22 | Simplifying 647 yields:
% 107.74/57.22 | (648) e3 = e0
% 107.74/57.22 |
% 107.74/57.22 | Equations (648) can reduce 80 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (4540) ~ (all_0_36_36 = e3)
% 107.74/57.22 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (4541), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (936) all_0_37_37 = e3
% 107.74/57.22 |
% 107.74/57.22 | Equations (936) can reduce 1127 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (1127) ~ (all_0_37_37 = e3)
% 107.74/57.22 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (4729), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (3208) all_0_38_38 = e3
% 107.74/57.22 |
% 107.74/57.22 | Combining equations (1846,3208) yields a new equation:
% 107.74/57.22 | (596) e4 = e3
% 107.74/57.22 |
% 107.74/57.22 | Simplifying 596 yields:
% 107.74/57.22 | (597) e4 = e3
% 107.74/57.22 |
% 107.74/57.22 | Equations (597) can reduce 255 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (3095) ~ (all_0_38_38 = e3)
% 107.74/57.22 | (701) all_0_39_39 = e3
% 107.74/57.22 |
% 107.74/57.22 | Combining equations (705,701) yields a new equation:
% 107.74/57.22 | (615) e3 = e2
% 107.74/57.22 |
% 107.74/57.22 | Equations (615) can reduce 52 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (603) ~ (all_0_29_29 = e4)
% 107.74/57.22 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (5059), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (3056) all_0_29_29 = e3
% 107.74/57.22 |
% 107.74/57.22 | Equations (3056) can reduce 3115 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (3115) ~ (all_0_29_29 = e3)
% 107.74/57.22 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (5198), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (5199) all_0_29_29 = e2
% 107.74/57.22 |
% 107.74/57.22 | Equations (5199) can reduce 479 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (479) ~ (all_0_29_29 = e2)
% 107.74/57.22 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (5202), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (4599) all_0_29_29 = e1
% 107.74/57.22 |
% 107.74/57.22 | Equations (4599) can reduce 2946 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (2946) ~ (all_0_29_29 = e1)
% 107.74/57.22 | (5206) all_0_29_29 = e0
% 107.74/57.22 |
% 107.74/57.22 | Equations (5206) can reduce 493 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.22 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (1172), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (855) all_0_17_17 = e3
% 107.74/57.22 |
% 107.74/57.22 | Equations (855) can reduce 919 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.22 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (1176), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (1177) all_0_17_17 = e2
% 107.74/57.22 |
% 107.74/57.22 | Equations (1177) can reduce 396 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (396) ~ (all_0_17_17 = e2)
% 107.74/57.22 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (1180), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (980) all_0_17_17 = e1
% 107.74/57.22 |
% 107.74/57.22 | Equations (980) can reduce 817 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (817) ~ (all_0_17_17 = e1)
% 107.74/57.22 | (1184) all_0_17_17 = e0
% 107.74/57.22 |
% 107.74/57.22 | Equations (1184) can reduce 659 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (1835) ~ (all_0_38_38 = e4)
% 107.74/57.22 | (697) all_0_39_39 = e4
% 107.74/57.22 |
% 107.74/57.22 | Combining equations (705,697) yields a new equation:
% 107.74/57.22 | (798) e4 = e2
% 107.74/57.22 |
% 107.74/57.22 | Equations (798) can reduce 21 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (577) ~ (all_0_25_25 = e3)
% 107.74/57.22 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 107.74/57.22 |
% 107.74/57.22 +-Applying beta-rule and splitting (7020), into two cases.
% 107.74/57.22 |-Branch one:
% 107.74/57.22 | (575) all_0_30_30 = e3
% 107.74/57.22 |
% 107.74/57.22 | Combining equations (613,575) yields a new equation:
% 107.74/57.22 | (615) e3 = e2
% 107.74/57.22 |
% 107.74/57.22 | Equations (615) can reduce 52 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (1800) ~ (all_0_30_30 = e3)
% 107.74/57.22 | (728) all_0_35_35 = e3
% 107.74/57.22 |
% 107.74/57.22 | Combining equations (761,728) yields a new equation:
% 107.74/57.22 | (928) e3 = e1
% 107.74/57.22 |
% 107.74/57.22 | Equations (928) can reduce 298 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.22 |-Branch two:
% 107.74/57.22 | (943) ~ (all_0_19_19 = e1)
% 107.74/57.22 | (1187) all_0_19_19 = e0
% 107.74/57.22 |
% 107.74/57.22 | Equations (1187) can reduce 489 to:
% 107.74/57.22 | (400) $false
% 107.74/57.22 |
% 107.74/57.22 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (638) ~ (all_0_18_18 = e2)
% 107.74/57.23 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (342), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1008) all_0_18_18 = e4
% 107.74/57.23 |
% 107.74/57.23 | Equations (1008) can reduce 458 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (458) ~ (all_0_18_18 = e4)
% 107.74/57.23 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1146), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1147) all_0_18_18 = e3
% 107.74/57.23 |
% 107.74/57.23 | Equations (1147) can reduce 9 to:
% 107.74/57.23 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (1147) can reduce 302 to:
% 107.74/57.23 | (7483) ~ (all_0_28_28 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 7483 yields:
% 107.74/57.23 | (893) ~ (all_0_28_28 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (1147) can reduce 638 to:
% 107.74/57.23 | (52) ~ (e3 = e2)
% 107.74/57.23 |
% 107.74/57.23 | Equations (1147) can reduce 1141 to:
% 107.74/57.23 | (80) ~ (e3 = e0)
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (3929), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (6267) all_0_23_23 = e2
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (427,6267) yields a new equation:
% 107.74/57.23 | (621) e2 = e1
% 107.74/57.23 |
% 107.74/57.23 | Equations (621) can reduce 310 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (6271) ~ (all_0_23_23 = e2)
% 107.74/57.23 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (142), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (855) all_0_17_17 = e3
% 107.74/57.23 |
% 107.74/57.23 | Equations (855) can reduce 919 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.23 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (86), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (854) all_0_28_28 = e4
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 185 to:
% 107.74/57.23 | (505) ~ (all_0_25_25 = e4)
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 47 to:
% 107.74/57.23 | (4420) ~ (all_0_29_29 = e4)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 4420 yields:
% 107.74/57.23 | (603) ~ (all_0_29_29 = e4)
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 893 to:
% 107.74/57.23 | (255) ~ (e4 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 477 to:
% 107.74/57.23 | (21) ~ (e4 = e2)
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 758 to:
% 107.74/57.23 | (267) ~ (e4 = e0)
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (250), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1151) all_0_19_19 = e4
% 107.74/57.23 |
% 107.74/57.23 | Equations (1151) can reduce 460 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (460) ~ (all_0_19_19 = e4)
% 107.74/57.23 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (2780), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (2956) all_0_24_24 = e4
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (2956,488) yields a new equation:
% 107.74/57.23 | (743) e4 = e0
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 743 yields:
% 107.74/57.23 | (515) e4 = e0
% 107.74/57.23 |
% 107.74/57.23 | Equations (515) can reduce 267 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (2960) ~ (all_0_24_24 = e4)
% 107.74/57.23 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (920), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (921) all_0_22_22 = e3
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (442,921) yields a new equation:
% 107.74/57.23 | (615) e3 = e2
% 107.74/57.23 |
% 107.74/57.23 | Equations (615) can reduce 52 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (925) ~ (all_0_22_22 = e3)
% 107.74/57.23 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (6272), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1118) all_0_28_28 = e2
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (854,1118) yields a new equation:
% 107.74/57.23 | (1531) e4 = e2
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 1531 yields:
% 107.74/57.23 | (798) e4 = e2
% 107.74/57.23 |
% 107.74/57.23 | Equations (798) can reduce 21 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (477) ~ (all_0_28_28 = e2)
% 107.74/57.23 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 107.74/57.23 |
% 107.74/57.23 | Equations (854) can reduce 477 to:
% 107.74/57.23 | (21) ~ (e4 = e2)
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (926), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (808) all_0_27_27 = e3
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (995,808) yields a new equation:
% 107.74/57.23 | (648) e3 = e0
% 107.74/57.23 |
% 107.74/57.23 | Equations (648) can reduce 80 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (573) ~ (all_0_27_27 = e3)
% 107.74/57.23 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (2961), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (941) all_0_29_29 = e4
% 107.74/57.23 |
% 107.74/57.23 | Equations (941) can reduce 603 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (603) ~ (all_0_29_29 = e4)
% 107.74/57.23 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (241), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (793) all_0_17_17 = e4
% 107.74/57.23 |
% 107.74/57.23 | Equations (793) can reduce 456 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (456) ~ (all_0_17_17 = e4)
% 107.74/57.23 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (931), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (629) all_0_32_32 = e3
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (609,629) yields a new equation:
% 107.74/57.23 | (596) e4 = e3
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 596 yields:
% 107.74/57.23 | (597) e4 = e3
% 107.74/57.23 |
% 107.74/57.23 | Equations (597) can reduce 255 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (579) ~ (all_0_32_32 = e3)
% 107.74/57.23 | (936) all_0_37_37 = e3
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 282 to:
% 107.74/57.23 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 97 to:
% 107.74/57.23 | (3094) ~ (all_0_38_38 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 3094 yields:
% 107.74/57.23 | (3095) ~ (all_0_38_38 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 24 to:
% 107.74/57.23 | (10723) ~ (all_0_39_39 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 10723 yields:
% 107.74/57.23 | (571) ~ (all_0_39_39 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 1002 to:
% 107.74/57.23 | (558) ~ (e4 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 558 yields:
% 107.74/57.23 | (255) ~ (e4 = e3)
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 450 to:
% 107.74/57.23 | (52) ~ (e3 = e2)
% 107.74/57.23 |
% 107.74/57.23 | Equations (936) can reduce 538 to:
% 107.74/57.23 | (80) ~ (e3 = e0)
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1172), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (855) all_0_17_17 = e3
% 107.74/57.23 |
% 107.74/57.23 | Equations (855) can reduce 919 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (919) ~ (all_0_17_17 = e3)
% 107.74/57.23 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1176), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1177) all_0_17_17 = e2
% 107.74/57.23 |
% 107.74/57.23 | Equations (1177) can reduce 396 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (396) ~ (all_0_17_17 = e2)
% 107.74/57.23 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1180), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (980) all_0_17_17 = e1
% 107.74/57.23 |
% 107.74/57.23 | Equations (980) can reduce 456 to:
% 107.74/57.23 | (764) ~ (e4 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 764 yields:
% 107.74/57.23 | (56) ~ (e4 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Equations (980) can reduce 919 to:
% 107.74/57.23 | (824) ~ (e3 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 824 yields:
% 107.74/57.23 | (298) ~ (e3 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Equations (980) can reduce 396 to:
% 107.74/57.23 | (766) ~ (e2 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 766 yields:
% 107.74/57.23 | (310) ~ (e2 = e1)
% 107.74/57.23 |
% 107.74/57.23 | Equations (980) can reduce 659 to:
% 107.74/57.23 | (40) ~ (e1 = e0)
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (160), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (711) all_0_15_15 = e2
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (711,736) yields a new equation:
% 107.74/57.23 | (524) e2 = e0
% 107.74/57.23 |
% 107.74/57.23 | Simplifying 524 yields:
% 107.74/57.23 | (525) e2 = e0
% 107.74/57.23 |
% 107.74/57.23 | Equations (525) can reduce 336 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (769) ~ (all_0_15_15 = e2)
% 107.74/57.23 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1235), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1236) all_0_16_16 = e2
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (1236,454) yields a new equation:
% 107.74/57.23 | (798) e4 = e2
% 107.74/57.23 |
% 107.74/57.23 | Equations (798) can reduce 21 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (1239) ~ (all_0_16_16 = e2)
% 107.74/57.23 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1240), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1177) all_0_17_17 = e2
% 107.74/57.23 |
% 107.74/57.23 | Combining equations (980,1177) yields a new equation:
% 107.74/57.23 | (621) e2 = e1
% 107.74/57.23 |
% 107.74/57.23 | Equations (621) can reduce 310 to:
% 107.74/57.23 | (400) $false
% 107.74/57.23 |
% 107.74/57.23 |-The branch is then unsatisfiable
% 107.74/57.23 |-Branch two:
% 107.74/57.23 | (396) ~ (all_0_17_17 = e2)
% 107.74/57.23 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 107.74/57.23 |
% 107.74/57.23 +-Applying beta-rule and splitting (1244), into two cases.
% 107.74/57.23 |-Branch one:
% 107.74/57.23 | (1191) all_0_18_18 = e2
% 107.74/57.23 |
% 107.74/57.24 | Combining equations (1191,1147) yields a new equation:
% 107.74/57.24 | (615) e3 = e2
% 107.74/57.24 |
% 107.74/57.24 | Equations (615) can reduce 52 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (638) ~ (all_0_18_18 = e2)
% 107.74/57.24 | (1163) all_0_19_19 = e2
% 107.74/57.24 |
% 107.74/57.24 | Equations (1163) can reduce 489 to:
% 107.74/57.24 | (336) ~ (e2 = e0)
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (81), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (660) ~ (all_0_27_27 = e0)
% 107.74/57.24 |
% 107.74/57.24 | Equations (995) can reduce 660 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (995) all_0_27_27 = e0
% 107.74/57.24 | (2996) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (6293), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (637) all_0_33_33 = e2
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (637,1463) yields a new equation:
% 107.74/57.24 | (524) e2 = e0
% 107.74/57.24 |
% 107.74/57.24 | Simplifying 524 yields:
% 107.74/57.24 | (525) e2 = e0
% 107.74/57.24 |
% 107.74/57.24 | Equations (525) can reduce 336 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (671) ~ (all_0_33_33 = e2)
% 107.74/57.24 | (3218) all_0_38_38 = e2
% 107.74/57.24 |
% 107.74/57.24 | Equations (3218) can reduce 3095 to:
% 107.74/57.24 | (643) ~ (e3 = e2)
% 107.74/57.24 |
% 107.74/57.24 | Simplifying 643 yields:
% 107.74/57.24 | (52) ~ (e3 = e2)
% 107.74/57.24 |
% 107.74/57.24 | Equations (3218) can reduce 438 to:
% 107.74/57.24 | (310) ~ (e2 = e1)
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (3061), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (601) all_0_34_34 = e4
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (601,2571) yields a new equation:
% 107.74/57.24 | (596) e4 = e3
% 107.74/57.24 |
% 107.74/57.24 | Simplifying 596 yields:
% 107.74/57.24 | (597) e4 = e3
% 107.74/57.24 |
% 107.74/57.24 | Equations (597) can reduce 255 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (2554) ~ (all_0_34_34 = e4)
% 107.74/57.24 | (697) all_0_39_39 = e4
% 107.74/57.24 |
% 107.74/57.24 | Equations (697) can reduce 571 to:
% 107.74/57.24 | (255) ~ (e4 = e3)
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (148), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (761) all_0_35_35 = e1
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (57), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (1698) all_0_25_25 = e3
% 107.74/57.24 |
% 107.74/57.24 | From (1698) and (311) follows:
% 107.74/57.24 | (11701) op(e2, e4) = e3
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (17), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (739) ~ (all_0_15_15 = e0)
% 107.74/57.24 |
% 107.74/57.24 | Equations (736) can reduce 739 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (736) all_0_15_15 = e0
% 107.74/57.24 | (2759) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (2759), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (11706) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (11706), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (3541) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12
% 107.74/57.24 |
% 107.74/57.24 | Applying alpha-rule on (3541) yields:
% 107.74/57.24 | (3542) all_0_13_13 = all_0_19_19
% 107.74/57.24 | (1039) ~ (all_0_12_12 = e3)
% 107.74/57.24 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 107.74/57.24 |
% 107.74/57.24 | From (1163) and (3544) follows:
% 107.74/57.24 | (3915) op(e2, e4) = all_0_12_12
% 107.74/57.24 |
% 107.74/57.24 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 107.74/57.24 | (1044) all_0_12_12 = e3
% 107.74/57.24 |
% 107.74/57.24 | Equations (1044) can reduce 1039 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 107.74/57.24 |
% 107.74/57.24 | Applying alpha-rule on (11714) yields:
% 107.74/57.24 | (3542) all_0_13_13 = all_0_19_19
% 107.74/57.24 | (706) ~ (all_0_19_19 = e2)
% 107.74/57.24 |
% 107.74/57.24 | Equations (1163) can reduce 706 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (11718) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1)
% 107.74/57.24 |
% 107.74/57.24 | Applying alpha-rule on (11718) yields:
% 107.74/57.24 | (3553) all_0_14_14 = all_0_35_35
% 107.74/57.24 | (1138) ~ (all_0_35_35 = e1)
% 107.74/57.24 |
% 107.74/57.24 | Equations (761) can reduce 1138 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (577) ~ (all_0_25_25 = e3)
% 107.74/57.24 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (3006), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (3007) all_0_26_26 = e3
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (471,3007) yields a new equation:
% 107.74/57.24 | (615) e3 = e2
% 107.74/57.24 |
% 107.74/57.24 | Equations (615) can reduce 52 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (3010) ~ (all_0_26_26 = e3)
% 107.74/57.24 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (3011), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (808) all_0_27_27 = e3
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (995,808) yields a new equation:
% 107.74/57.24 | (648) e3 = e0
% 107.74/57.24 |
% 107.74/57.24 | Equations (648) can reduce 80 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (573) ~ (all_0_27_27 = e3)
% 107.74/57.24 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (3016), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (1106) all_0_28_28 = e3
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (854,1106) yields a new equation:
% 107.74/57.24 | (596) e4 = e3
% 107.74/57.24 |
% 107.74/57.24 | Simplifying 596 yields:
% 107.74/57.24 | (597) e4 = e3
% 107.74/57.24 |
% 107.74/57.24 | Equations (597) can reduce 255 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (893) ~ (all_0_28_28 = e3)
% 107.74/57.24 | (3056) all_0_29_29 = e3
% 107.74/57.24 |
% 107.74/57.24 | Equations (3056) can reduce 3115 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (1138) ~ (all_0_35_35 = e1)
% 107.74/57.24 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (114), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (969) all_0_15_15 = e1
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (969,736) yields a new equation:
% 107.74/57.24 | (530) e1 = e0
% 107.74/57.24 |
% 107.74/57.24 | Simplifying 530 yields:
% 107.74/57.24 | (531) e1 = e0
% 107.74/57.24 |
% 107.74/57.24 | Equations (531) can reduce 40 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (679) ~ (all_0_15_15 = e1)
% 107.74/57.24 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (262), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (829) all_0_19_19 = e1
% 107.74/57.24 |
% 107.74/57.24 | Combining equations (829,1163) yields a new equation:
% 107.74/57.24 | (621) e2 = e1
% 107.74/57.24 |
% 107.74/57.24 | Equations (621) can reduce 310 to:
% 107.74/57.24 | (400) $false
% 107.74/57.24 |
% 107.74/57.24 |-The branch is then unsatisfiable
% 107.74/57.24 |-Branch two:
% 107.74/57.24 | (943) ~ (all_0_19_19 = e1)
% 107.74/57.24 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.74/57.24 |
% 107.74/57.24 | Equations (1163) can reduce 943 to:
% 107.74/57.24 | (310) ~ (e2 = e1)
% 107.74/57.24 |
% 107.74/57.24 +-Applying beta-rule and splitting (1402), into two cases.
% 107.74/57.24 |-Branch one:
% 107.74/57.24 | (1490) all_0_20_20 = e1
% 107.74/57.25 |
% 107.74/57.25 | Combining equations (500,1490) yields a new equation:
% 107.74/57.25 | (975) e4 = e1
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 975 yields:
% 107.74/57.25 | (838) e4 = e1
% 107.74/57.25 |
% 107.74/57.25 | Equations (838) can reduce 56 to:
% 107.74/57.25 | (400) $false
% 107.74/57.25 |
% 107.74/57.25 |-The branch is then unsatisfiable
% 107.74/57.25 |-Branch two:
% 107.74/57.25 | (429) ~ (all_0_20_20 = e1)
% 107.74/57.25 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (1494), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (1495) all_0_25_25 = e1
% 107.74/57.25 |
% 107.74/57.25 | Equations (1495) can reduce 7 to:
% 107.74/57.25 | (5048) ~ (all_0_29_29 = e1)
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 5048 yields:
% 107.74/57.25 | (2946) ~ (all_0_29_29 = e1)
% 107.74/57.25 |
% 107.74/57.25 | Equations (1495) can reduce 505 to:
% 107.74/57.25 | (764) ~ (e4 = e1)
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 764 yields:
% 107.74/57.25 | (56) ~ (e4 = e1)
% 107.74/57.25 |
% 107.74/57.25 | Equations (1495) can reduce 1054 to:
% 107.74/57.25 | (40) ~ (e1 = e0)
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (2751), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (11767) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (11767), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (11768) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3
% 107.74/57.25 |
% 107.74/57.25 | Applying alpha-rule on (11768) yields:
% 107.74/57.25 | (11769) all_0_4_4 = all_0_34_34
% 107.74/57.25 | (11770) ~ (all_0_3_3 = e3)
% 107.74/57.25 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.74/57.25 |
% 107.74/57.25 | Combining equations (2571,11769) yields a new equation:
% 107.74/57.25 | (11772) all_0_4_4 = e3
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (2619), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (11773) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (11773), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (11774) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3
% 107.74/57.25 |
% 107.74/57.25 | Applying alpha-rule on (11774) yields:
% 107.74/57.25 | (11769) all_0_4_4 = all_0_34_34
% 107.74/57.25 | (11776) ~ (all_0_3_3 = e4)
% 107.74/57.25 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.74/57.25 |
% 107.74/57.25 | Combining equations (11769,11772) yields a new equation:
% 107.74/57.25 | (11778) all_0_34_34 = e3
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 11778 yields:
% 107.74/57.25 | (2571) all_0_34_34 = e3
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (944), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (8658) all_0_24_24 = e1
% 107.74/57.25 |
% 107.74/57.25 | Combining equations (8658,488) yields a new equation:
% 107.74/57.25 | (530) e1 = e0
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 530 yields:
% 107.74/57.25 | (531) e1 = e0
% 107.74/57.25 |
% 107.74/57.25 | Equations (531) can reduce 40 to:
% 107.74/57.25 | (400) $false
% 107.74/57.25 |
% 107.74/57.25 |-The branch is then unsatisfiable
% 107.74/57.25 |-Branch two:
% 107.74/57.25 | (432) ~ (all_0_24_24 = e1)
% 107.74/57.25 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (183), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (607) ~ (all_0_39_39 = e4)
% 107.74/57.25 |
% 107.74/57.25 | Equations (697) can reduce 607 to:
% 107.74/57.25 | (400) $false
% 107.74/57.25 |
% 107.74/57.25 |-The branch is then unsatisfiable
% 107.74/57.25 |-Branch two:
% 107.74/57.25 | (697) all_0_39_39 = e4
% 107.74/57.25 | (11789) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 107.74/57.25 |
% 107.74/57.25 +-Applying beta-rule and splitting (57), into two cases.
% 107.74/57.25 |-Branch one:
% 107.74/57.25 | (1698) all_0_25_25 = e3
% 107.74/57.25 |
% 107.74/57.25 | Combining equations (1495,1698) yields a new equation:
% 107.74/57.25 | (928) e3 = e1
% 107.74/57.25 |
% 107.74/57.25 | Equations (928) can reduce 298 to:
% 107.74/57.25 | (400) $false
% 107.74/57.25 |
% 107.74/57.25 |-The branch is then unsatisfiable
% 107.74/57.25 |-Branch two:
% 107.74/57.25 | (577) ~ (all_0_25_25 = e3)
% 107.74/57.25 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.74/57.25 |
% 107.74/57.25 | Equations (1495) can reduce 577 to:
% 107.74/57.25 | (824) ~ (e3 = e1)
% 107.74/57.25 |
% 107.74/57.25 | Simplifying 824 yields:
% 107.74/57.25 | (298) ~ (e3 = e1)
% 107.74/57.25 |
% 107.74/57.26 +-Applying beta-rule and splitting (8663), into two cases.
% 107.74/57.26 |-Branch one:
% 107.74/57.26 | (4599) all_0_29_29 = e1
% 107.74/57.26 |
% 107.74/57.26 | Equations (4599) can reduce 2946 to:
% 107.74/57.26 | (400) $false
% 107.74/57.26 |
% 107.74/57.26 |-The branch is then unsatisfiable
% 107.74/57.26 |-Branch two:
% 107.74/57.26 | (2946) ~ (all_0_29_29 = e1)
% 107.74/57.26 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 107.74/57.26 |
% 107.74/57.26 +-Applying beta-rule and splitting (11125), into two cases.
% 107.74/57.26 |-Branch one:
% 107.74/57.26 | (4342) all_0_34_34 = e1
% 107.74/57.26 |
% 107.74/57.26 | Combining equations (2571,4342) yields a new equation:
% 107.74/57.26 | (1113) e3 = e1
% 107.74/57.26 |
% 107.74/57.26 | Simplifying 1113 yields:
% 107.74/57.26 | (928) e3 = e1
% 107.74/57.26 |
% 107.74/57.26 | Equations (928) can reduce 298 to:
% 107.74/57.26 | (400) $false
% 107.74/57.26 |
% 107.74/57.26 |-The branch is then unsatisfiable
% 107.74/57.26 |-Branch two:
% 107.74/57.26 | (421) ~ (all_0_34_34 = e1)
% 107.74/57.26 | (1252) all_0_39_39 = e1
% 107.74/57.26 |
% 107.74/57.26 | Combining equations (697,1252) yields a new equation:
% 107.74/57.26 | (975) e4 = e1
% 107.74/57.26 |
% 107.74/57.26 | Simplifying 975 yields:
% 107.74/57.26 | (838) e4 = e1
% 107.74/57.26 |
% 107.74/57.26 | Equations (838) can reduce 56 to:
% 107.74/57.26 | (400) $false
% 107.74/57.26 |
% 107.74/57.26 |-The branch is then unsatisfiable
% 107.74/57.26 |-Branch two:
% 107.74/57.26 | (11810) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)
% 107.74/57.26 |
% 107.74/57.26 | Applying alpha-rule on (11810) yields:
% 107.74/57.26 | (11769) all_0_4_4 = all_0_34_34
% 107.74/57.26 | (583) ~ (all_0_34_34 = e3)
% 107.74/57.26 |
% 107.74/57.26 | Combining equations (11769,11772) yields a new equation:
% 107.74/57.26 | (11778) all_0_34_34 = e3
% 107.74/57.26 |
% 107.74/57.26 | Simplifying 11778 yields:
% 107.74/57.26 | (2571) all_0_34_34 = e3
% 107.74/57.26 |
% 107.74/57.26 | Equations (2571) can reduce 583 to:
% 107.74/57.26 | (400) $false
% 107.74/57.26 |
% 107.74/57.26 |-The branch is then unsatisfiable
% 107.74/57.26 |-Branch two:
% 107.74/57.26 | (11816) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2)
% 107.74/57.26 |
% 107.74/57.26 | Applying alpha-rule on (11816) yields:
% 107.74/57.26 | (11817) all_0_5_5 = all_0_38_38
% 107.74/57.26 | (2728) ~ (all_0_38_38 = e2)
% 107.74/57.26 |
% 107.74/57.26 | Equations (3218) can reduce 2728 to:
% 107.74/57.26 | (400) $false
% 107.74/57.26 |
% 107.74/57.26 |-The branch is then unsatisfiable
% 107.74/57.26 |-Branch two:
% 107.74/57.26 | (11820) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)
% 107.74/57.26 |
% 107.74/57.26 | Applying alpha-rule on (11820) yields:
% 107.74/57.26 | (11769) all_0_4_4 = all_0_34_34
% 107.74/57.26 | (2554) ~ (all_0_34_34 = e4)
% 107.74/57.26 |
% 107.74/57.26 | Combining equations (2571,11769) yields a new equation:
% 107.90/57.26 | (11772) all_0_4_4 = e3
% 107.90/57.26 |
% 107.90/57.26 +-Applying beta-rule and splitting (2619), into two cases.
% 107.90/57.26 |-Branch one:
% 107.90/57.27 | (11773) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (11773), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (11774) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.27 |
% 107.90/57.27 | Applying alpha-rule on (11774) yields:
% 107.90/57.27 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.27 | (11776) ~ (all_0_3_3 = e4)
% 107.90/57.27 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.27 |
% 107.90/57.27 | Combining equations (11769,11772) yields a new equation:
% 107.90/57.27 | (11778) all_0_34_34 = e3
% 107.90/57.27 |
% 107.90/57.27 | Simplifying 11778 yields:
% 107.90/57.27 | (2571) all_0_34_34 = e3
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (944), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (8658) all_0_24_24 = e1
% 107.90/57.27 |
% 107.90/57.27 | Combining equations (8658,488) yields a new equation:
% 107.90/57.27 | (530) e1 = e0
% 107.90/57.27 |
% 107.90/57.27 | Simplifying 530 yields:
% 107.90/57.27 | (531) e1 = e0
% 107.90/57.27 |
% 107.90/57.27 | Equations (531) can reduce 40 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (432) ~ (all_0_24_24 = e1)
% 107.90/57.27 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (183), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (607) ~ (all_0_39_39 = e4)
% 107.90/57.27 |
% 107.90/57.27 | Equations (697) can reduce 607 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (697) all_0_39_39 = e4
% 107.90/57.27 | (11789) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (57), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (1698) all_0_25_25 = e3
% 107.90/57.27 |
% 107.90/57.27 | Combining equations (1495,1698) yields a new equation:
% 107.90/57.27 | (928) e3 = e1
% 107.90/57.27 |
% 107.90/57.27 | Equations (928) can reduce 298 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (577) ~ (all_0_25_25 = e3)
% 107.90/57.27 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 107.90/57.27 |
% 107.90/57.27 | Equations (1495) can reduce 577 to:
% 107.90/57.27 | (824) ~ (e3 = e1)
% 107.90/57.27 |
% 107.90/57.27 | Simplifying 824 yields:
% 107.90/57.27 | (298) ~ (e3 = e1)
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (8663), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (4599) all_0_29_29 = e1
% 107.90/57.27 |
% 107.90/57.27 | Equations (4599) can reduce 2946 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (2946) ~ (all_0_29_29 = e1)
% 107.90/57.27 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.27 |
% 107.90/57.27 +-Applying beta-rule and splitting (11125), into two cases.
% 107.90/57.27 |-Branch one:
% 107.90/57.27 | (4342) all_0_34_34 = e1
% 107.90/57.27 |
% 107.90/57.27 | Combining equations (2571,4342) yields a new equation:
% 107.90/57.27 | (1113) e3 = e1
% 107.90/57.27 |
% 107.90/57.27 | Simplifying 1113 yields:
% 107.90/57.27 | (928) e3 = e1
% 107.90/57.27 |
% 107.90/57.27 | Equations (928) can reduce 298 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (421) ~ (all_0_34_34 = e1)
% 107.90/57.27 | (1252) all_0_39_39 = e1
% 107.90/57.27 |
% 107.90/57.27 | Combining equations (697,1252) yields a new equation:
% 107.90/57.27 | (975) e4 = e1
% 107.90/57.27 |
% 107.90/57.27 | Simplifying 975 yields:
% 107.90/57.27 | (838) e4 = e1
% 107.90/57.27 |
% 107.90/57.27 | Equations (838) can reduce 56 to:
% 107.90/57.27 | (400) $false
% 107.90/57.27 |
% 107.90/57.27 |-The branch is then unsatisfiable
% 107.90/57.27 |-Branch two:
% 107.90/57.27 | (11810) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)
% 107.90/57.27 |
% 107.90/57.27 | Applying alpha-rule on (11810) yields:
% 107.90/57.28 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.28 | (583) ~ (all_0_34_34 = e3)
% 107.90/57.28 |
% 107.90/57.28 | Combining equations (11769,11772) yields a new equation:
% 107.90/57.28 | (11778) all_0_34_34 = e3
% 107.90/57.28 |
% 107.90/57.28 | Simplifying 11778 yields:
% 107.90/57.28 | (2571) all_0_34_34 = e3
% 107.90/57.28 |
% 107.90/57.28 | Equations (2571) can reduce 583 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (11816) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2)
% 107.90/57.28 |
% 107.90/57.28 | Applying alpha-rule on (11816) yields:
% 107.90/57.28 | (11817) all_0_5_5 = all_0_38_38
% 107.90/57.28 | (2728) ~ (all_0_38_38 = e2)
% 107.90/57.28 |
% 107.90/57.28 | Equations (3218) can reduce 2728 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (11816) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2)
% 107.90/57.28 |
% 107.90/57.28 | Applying alpha-rule on (11816) yields:
% 107.90/57.28 | (11817) all_0_5_5 = all_0_38_38
% 107.90/57.28 | (2728) ~ (all_0_38_38 = e2)
% 107.90/57.28 |
% 107.90/57.28 | Equations (3218) can reduce 2728 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (1519) ~ (all_0_25_25 = e1)
% 107.90/57.28 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (1520), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (1521) all_0_30_30 = e1
% 107.90/57.28 |
% 107.90/57.28 | Combining equations (1521,613) yields a new equation:
% 107.90/57.28 | (621) e2 = e1
% 107.90/57.28 |
% 107.90/57.28 | Equations (621) can reduce 310 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (417) ~ (all_0_30_30 = e1)
% 107.90/57.28 | (761) all_0_35_35 = e1
% 107.90/57.28 |
% 107.90/57.28 | Equations (761) can reduce 1138 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (817) ~ (all_0_17_17 = e1)
% 107.90/57.28 | (1184) all_0_17_17 = e0
% 107.90/57.28 |
% 107.90/57.28 | Equations (1184) can reduce 659 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (883) ~ (all_0_28_28 = e4)
% 107.90/57.28 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (6272), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (1118) all_0_28_28 = e2
% 107.90/57.28 |
% 107.90/57.28 | Equations (1118) can reduce 477 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (477) ~ (all_0_28_28 = e2)
% 107.90/57.28 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (6293), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (637) all_0_33_33 = e2
% 107.90/57.28 |
% 107.90/57.28 | Combining equations (1463,637) yields a new equation:
% 107.90/57.28 | (525) e2 = e0
% 107.90/57.28 |
% 107.90/57.28 | Equations (525) can reduce 336 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (671) ~ (all_0_33_33 = e2)
% 107.90/57.28 | (3218) all_0_38_38 = e2
% 107.90/57.28 |
% 107.90/57.28 | Equations (3218) can reduce 207 to:
% 107.90/57.28 | (477) ~ (all_0_28_28 = e2)
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (1021), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (1106) all_0_28_28 = e3
% 107.90/57.28 |
% 107.90/57.28 | Equations (1106) can reduce 893 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (893) ~ (all_0_28_28 = e3)
% 107.90/57.28 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (1117), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (1118) all_0_28_28 = e2
% 107.90/57.28 |
% 107.90/57.28 | Equations (1118) can reduce 477 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.28 | (477) ~ (all_0_28_28 = e2)
% 107.90/57.28 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 107.90/57.28 |
% 107.90/57.28 +-Applying beta-rule and splitting (1121), into two cases.
% 107.90/57.28 |-Branch one:
% 107.90/57.28 | (1122) all_0_28_28 = e1
% 107.90/57.28 |
% 107.90/57.28 | Equations (1122) can reduce 434 to:
% 107.90/57.28 | (400) $false
% 107.90/57.28 |
% 107.90/57.28 |-The branch is then unsatisfiable
% 107.90/57.28 |-Branch two:
% 107.90/57.29 | (434) ~ (all_0_28_28 = e1)
% 107.90/57.29 | (1125) all_0_28_28 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (1125) can reduce 758 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (1189) ~ (all_0_18_18 = e3)
% 107.90/57.29 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (1190), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (1191) all_0_18_18 = e2
% 107.90/57.29 |
% 107.90/57.29 | Equations (1191) can reduce 638 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (638) ~ (all_0_18_18 = e2)
% 107.90/57.29 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (1194), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (984) all_0_18_18 = e1
% 107.90/57.29 |
% 107.90/57.29 | Equations (984) can reduce 428 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (428) ~ (all_0_18_18 = e1)
% 107.90/57.29 | (756) all_0_18_18 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (756) can reduce 1141 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (583) ~ (all_0_34_34 = e3)
% 107.90/57.29 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (9423), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (1360) all_0_33_33 = e3
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (1463,1360) yields a new equation:
% 107.90/57.29 | (648) e3 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (648) can reduce 80 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (574) ~ (all_0_33_33 = e3)
% 107.90/57.29 | (2571) all_0_34_34 = e3
% 107.90/57.29 |
% 107.90/57.29 | Equations (2571) can reduce 583 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (604) ~ (all_0_32_32 = e4)
% 107.90/57.29 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (600), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (2556) all_0_31_31 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (414,2556) yields a new equation:
% 107.90/57.29 | (838) e4 = e1
% 107.90/57.29 |
% 107.90/57.29 | Equations (838) can reduce 56 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (2559) ~ (all_0_31_31 = e4)
% 107.90/57.29 | (2560) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (2560), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (609) all_0_32_32 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (609) can reduce 604 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (604) ~ (all_0_32_32 = e4)
% 107.90/57.29 | (4348) all_0_33_33 = e4 | all_0_34_34 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (4348), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (1322) all_0_33_33 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (1463,1322) yields a new equation:
% 107.90/57.29 | (515) e4 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (515) can reduce 267 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (594) ~ (all_0_33_33 = e4)
% 107.90/57.29 | (601) all_0_34_34 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (601) can reduce 295 to:
% 107.90/57.29 | (460) ~ (all_0_19_19 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (601) can reduce 84 to:
% 107.90/57.29 | (603) ~ (all_0_29_29 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (601) can reduce 132 to:
% 107.90/57.29 | (604) ~ (all_0_32_32 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (601) can reduce 4340 to:
% 107.90/57.29 | (21) ~ (e4 = e2)
% 107.90/57.29 |
% 107.90/57.29 | Equations (601) can reduce 495 to:
% 107.90/57.29 | (267) ~ (e4 = e0)
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (612), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (629) all_0_32_32 = e3
% 107.90/57.29 |
% 107.90/57.29 | Equations (629) can reduce 211 to:
% 107.90/57.29 | (6232) ~ (all_0_37_37 = e3)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 6232 yields:
% 107.90/57.29 | (1127) ~ (all_0_37_37 = e3)
% 107.90/57.29 |
% 107.90/57.29 | Equations (629) can reduce 604 to:
% 107.90/57.29 | (558) ~ (e4 = e3)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 558 yields:
% 107.90/57.29 | (255) ~ (e4 = e3)
% 107.90/57.29 |
% 107.90/57.29 | Equations (629) can reduce 419 to:
% 107.90/57.29 | (298) ~ (e3 = e1)
% 107.90/57.29 |
% 107.90/57.29 | Equations (629) can reduce 889 to:
% 107.90/57.29 | (80) ~ (e3 = e0)
% 107.90/57.29 |
% 107.90/57.29 | From (629) and (223) follows:
% 107.90/57.29 | (11958) op(e1, e2) = e3
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (241), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (793) all_0_17_17 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (793) can reduce 456 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (456) ~ (all_0_17_17 = e4)
% 107.90/57.29 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (51), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (793) all_0_17_17 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (793) can reduce 456 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (456) ~ (all_0_17_17 = e4)
% 107.90/57.29 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (796), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (797) all_0_22_22 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (442,797) yields a new equation:
% 107.90/57.29 | (798) e4 = e2
% 107.90/57.29 |
% 107.90/57.29 | Equations (798) can reduce 21 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (800) ~ (all_0_22_22 = e4)
% 107.90/57.29 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (442) can reduce 800 to:
% 107.90/57.29 | (482) ~ (e4 = e2)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 482 yields:
% 107.90/57.29 | (21) ~ (e4 = e2)
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (55), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (590) all_0_25_25 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (590) can reduce 505 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (505) ~ (all_0_25_25 = e4)
% 107.90/57.29 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (790), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (832) all_0_26_26 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (471,832) yields a new equation:
% 107.90/57.29 | (798) e4 = e2
% 107.90/57.29 |
% 107.90/57.29 | Equations (798) can reduce 21 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (464) ~ (all_0_26_26 = e4)
% 107.90/57.29 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (836), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (804) all_0_27_27 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (995,804) yields a new equation:
% 107.90/57.29 | (515) e4 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (515) can reduce 267 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (785) ~ (all_0_27_27 = e4)
% 107.90/57.29 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (995) can reduce 785 to:
% 107.90/57.29 | (543) ~ (e4 = e0)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 543 yields:
% 107.90/57.29 | (267) ~ (e4 = e0)
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (801), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (804) all_0_27_27 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (995,804) yields a new equation:
% 107.90/57.29 | (515) e4 = e0
% 107.90/57.29 |
% 107.90/57.29 | Equations (515) can reduce 267 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (785) ~ (all_0_27_27 = e4)
% 107.90/57.29 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (853), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (854) all_0_28_28 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (854) can reduce 302 to:
% 107.90/57.29 | (458) ~ (all_0_18_18 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (854) can reduce 185 to:
% 107.90/57.29 | (505) ~ (all_0_25_25 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (854) can reduce 47 to:
% 107.90/57.29 | (4420) ~ (all_0_29_29 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 4420 yields:
% 107.90/57.29 | (603) ~ (all_0_29_29 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (854) can reduce 434 to:
% 107.90/57.29 | (56) ~ (e4 = e1)
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (841), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (609) all_0_32_32 = e4
% 107.90/57.29 |
% 107.90/57.29 | Combining equations (629,609) yields a new equation:
% 107.90/57.29 | (597) e4 = e3
% 107.90/57.29 |
% 107.90/57.29 | Equations (597) can reduce 255 to:
% 107.90/57.29 | (400) $false
% 107.90/57.29 |
% 107.90/57.29 |-The branch is then unsatisfiable
% 107.90/57.29 |-Branch two:
% 107.90/57.29 | (604) ~ (all_0_32_32 = e4)
% 107.90/57.29 | (847) all_0_37_37 = e4
% 107.90/57.29 |
% 107.90/57.29 | Equations (847) can reduce 309 to:
% 107.90/57.29 | (509) ~ (all_0_35_35 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (847) can reduce 97 to:
% 107.90/57.29 | (1834) ~ (all_0_38_38 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 1834 yields:
% 107.90/57.29 | (1835) ~ (all_0_38_38 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (847) can reduce 24 to:
% 107.90/57.29 | (606) ~ (all_0_39_39 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 606 yields:
% 107.90/57.29 | (607) ~ (all_0_39_39 = e4)
% 107.90/57.29 |
% 107.90/57.29 | Equations (847) can reduce 1127 to:
% 107.90/57.29 | (255) ~ (e4 = e3)
% 107.90/57.29 |
% 107.90/57.29 | Equations (847) can reduce 450 to:
% 107.90/57.29 | (21) ~ (e4 = e2)
% 107.90/57.29 |
% 107.90/57.29 +-Applying beta-rule and splitting (249), into two cases.
% 107.90/57.29 |-Branch one:
% 107.90/57.29 | (980) all_0_17_17 = e1
% 107.90/57.29 |
% 107.90/57.29 | Equations (980) can reduce 9 to:
% 107.90/57.29 | (1549) ~ (all_0_18_18 = e1)
% 107.90/57.29 |
% 107.90/57.29 | Simplifying 1549 yields:
% 107.90/57.29 | (428) ~ (all_0_18_18 = e1)
% 107.90/57.29 |
% 107.90/57.29 | Equations (980) can reduce 131 to:
% 107.90/57.30 | (3853) ~ (all_0_19_19 = e1)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 3853 yields:
% 107.90/57.30 | (943) ~ (all_0_19_19 = e1)
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (268), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (660) ~ (all_0_27_27 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (995) can reduce 660 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (995) all_0_27_27 = e0
% 107.90/57.30 | (8431) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (18), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (2612) ~ (all_0_33_33 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1463) can reduce 2612 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1463) all_0_33_33 = e0
% 107.90/57.30 | (2619) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (338), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (739) ~ (all_0_15_15 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (736) can reduce 739 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (736) all_0_15_15 = e0
% 107.90/57.30 | (11400) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (224), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (2612) ~ (all_0_33_33 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1463) can reduce 2612 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1463) all_0_33_33 = e0
% 107.90/57.30 | (2743) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e4))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (214), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (2612) ~ (all_0_33_33 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1463) can reduce 2612 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1463) all_0_33_33 = e0
% 107.90/57.30 | (2623) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (113), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (660) ~ (all_0_27_27 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (995) can reduce 660 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (995) all_0_27_27 = e0
% 107.90/57.30 | (9807) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (273), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (660) ~ (all_0_27_27 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (995) can reduce 660 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (995) all_0_27_27 = e0
% 107.90/57.30 | (8388) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (81), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (660) ~ (all_0_27_27 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (995) can reduce 660 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (995) all_0_27_27 = e0
% 107.90/57.30 | (2996) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (176), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (2612) ~ (all_0_33_33 = e0)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1463) can reduce 2612 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1463) all_0_33_33 = e0
% 107.90/57.30 | (2751) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (237), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (590) all_0_25_25 = e4
% 107.90/57.30 |
% 107.90/57.30 | Equations (590) can reduce 505 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (505) ~ (all_0_25_25 = e4)
% 107.90/57.30 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (130), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1159) all_0_19_19 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (1159) can reduce 172 to:
% 107.90/57.30 | (1189) ~ (all_0_18_18 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1159) can reduce 460 to:
% 107.90/57.30 | (558) ~ (e4 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 558 yields:
% 107.90/57.30 | (255) ~ (e4 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1159) can reduce 943 to:
% 107.90/57.30 | (298) ~ (e3 = e1)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1159) can reduce 489 to:
% 107.90/57.30 | (80) ~ (e3 = e0)
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (102), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1147) all_0_18_18 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (1147) can reduce 1189 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1189) ~ (all_0_18_18 = e3)
% 107.90/57.30 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (342), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1008) all_0_18_18 = e4
% 107.90/57.30 |
% 107.90/57.30 | Equations (1008) can reduce 458 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (458) ~ (all_0_18_18 = e4)
% 107.90/57.30 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (57), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1698) all_0_25_25 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (1698) can reduce 7 to:
% 107.90/57.30 | (3114) ~ (all_0_29_29 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 3114 yields:
% 107.90/57.30 | (3115) ~ (all_0_29_29 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1698) can reduce 194 to:
% 107.90/57.30 | (584) ~ (all_0_35_35 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 584 yields:
% 107.90/57.30 | (585) ~ (all_0_35_35 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1698) can reduce 505 to:
% 107.90/57.30 | (558) ~ (e4 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 558 yields:
% 107.90/57.30 | (255) ~ (e4 = e3)
% 107.90/57.30 |
% 107.90/57.30 | Equations (1698) can reduce 1054 to:
% 107.90/57.30 | (80) ~ (e3 = e0)
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (8431), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (8432) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (8432), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 107.90/57.30 |
% 107.90/57.30 | Applying alpha-rule on (8433) yields:
% 107.90/57.30 | (3041) all_0_7_7 = all_0_29_29
% 107.90/57.30 | (874) ~ (all_0_6_6 = e3)
% 107.90/57.30 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (43), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1495) all_0_25_25 = e1
% 107.90/57.30 |
% 107.90/57.30 | Combining equations (1698,1495) yields a new equation:
% 107.90/57.30 | (1113) e3 = e1
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 1113 yields:
% 107.90/57.30 | (928) e3 = e1
% 107.90/57.30 |
% 107.90/57.30 | Equations (928) can reduce 298 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1519) ~ (all_0_25_25 = e1)
% 107.90/57.30 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.90/57.30 |
% 107.90/57.30 | Equations (1698) can reduce 1519 to:
% 107.90/57.30 | (298) ~ (e3 = e1)
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (254), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (728) all_0_35_35 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (728) can reduce 585 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (585) ~ (all_0_35_35 = e3)
% 107.90/57.30 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (1742), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (3107) all_0_23_23 = e3
% 107.90/57.30 |
% 107.90/57.30 | Combining equations (3107,427) yields a new equation:
% 107.90/57.30 | (1113) e3 = e1
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 1113 yields:
% 107.90/57.30 | (928) e3 = e1
% 107.90/57.30 |
% 107.90/57.30 | Equations (928) can reduce 298 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (1361) ~ (all_0_23_23 = e3)
% 107.90/57.30 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (3112), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (1106) all_0_28_28 = e3
% 107.90/57.30 |
% 107.90/57.30 | Combining equations (854,1106) yields a new equation:
% 107.90/57.30 | (596) e4 = e3
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 596 yields:
% 107.90/57.30 | (597) e4 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (597) can reduce 255 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (893) ~ (all_0_28_28 = e3)
% 107.90/57.30 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (128), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (724) all_0_35_35 = e4
% 107.90/57.30 |
% 107.90/57.30 | Equations (724) can reduce 509 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (509) ~ (all_0_35_35 = e4)
% 107.90/57.30 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (727), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (728) all_0_35_35 = e3
% 107.90/57.30 |
% 107.90/57.30 | Equations (728) can reduce 585 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (585) ~ (all_0_35_35 = e3)
% 107.90/57.30 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (731), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (732) all_0_35_35 = e2
% 107.90/57.30 |
% 107.90/57.30 | Equations (732) can reduce 719 to:
% 107.90/57.30 | (400) $false
% 107.90/57.30 |
% 107.90/57.30 |-The branch is then unsatisfiable
% 107.90/57.30 |-Branch two:
% 107.90/57.30 | (719) ~ (all_0_35_35 = e2)
% 107.90/57.30 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 107.90/57.30 |
% 107.90/57.30 +-Applying beta-rule and splitting (735), into two cases.
% 107.90/57.30 |-Branch one:
% 107.90/57.30 | (761) all_0_35_35 = e1
% 107.90/57.30 |
% 107.90/57.30 | Equations (761) can reduce 210 to:
% 107.90/57.30 | (437) ~ (all_0_38_38 = e1)
% 107.90/57.30 |
% 107.90/57.30 | Simplifying 437 yields:
% 107.90/57.30 | (438) ~ (all_0_38_38 = e1)
% 107.90/57.30 |
% 107.90/57.30 | Equations (761) can reduce 63 to:
% 107.90/57.31 | (12123) ~ (all_0_39_39 = e1)
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 12123 yields:
% 107.90/57.31 | (696) ~ (all_0_39_39 = e1)
% 107.90/57.31 |
% 107.90/57.31 | Equations (761) can reduce 509 to:
% 107.90/57.31 | (764) ~ (e4 = e1)
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 764 yields:
% 107.90/57.31 | (56) ~ (e4 = e1)
% 107.90/57.31 |
% 107.90/57.31 | Equations (761) can reduce 536 to:
% 107.90/57.31 | (40) ~ (e1 = e0)
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (159), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (739) ~ (all_0_15_15 = e0)
% 107.90/57.31 |
% 107.90/57.31 | Equations (736) can reduce 739 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (736) all_0_15_15 = e0
% 107.90/57.31 | (11294) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (300), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (697) all_0_39_39 = e4
% 107.90/57.31 |
% 107.90/57.31 | Equations (697) can reduce 607 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (607) ~ (all_0_39_39 = e4)
% 107.90/57.31 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (3201), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (1360) all_0_33_33 = e3
% 107.90/57.31 |
% 107.90/57.31 | Combining equations (1463,1360) yields a new equation:
% 107.90/57.31 | (648) e3 = e0
% 107.90/57.31 |
% 107.90/57.31 | Equations (648) can reduce 80 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (574) ~ (all_0_33_33 = e3)
% 107.90/57.31 | (3208) all_0_38_38 = e3
% 107.90/57.31 |
% 107.90/57.31 | Equations (3208) can reduce 38 to:
% 107.90/57.31 | (1189) ~ (all_0_18_18 = e3)
% 107.90/57.31 |
% 107.90/57.31 | Equations (3208) can reduce 231 to:
% 107.90/57.31 | (10723) ~ (all_0_39_39 = e3)
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 10723 yields:
% 107.90/57.31 | (571) ~ (all_0_39_39 = e3)
% 107.90/57.31 |
% 107.90/57.31 | Equations (3208) can reduce 438 to:
% 107.90/57.31 | (298) ~ (e3 = e1)
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (700), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (701) all_0_39_39 = e3
% 107.90/57.31 |
% 107.90/57.31 | Equations (701) can reduce 571 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (571) ~ (all_0_39_39 = e3)
% 107.90/57.31 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (704), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (705) all_0_39_39 = e2
% 107.90/57.31 |
% 107.90/57.31 | Equations (705) can reduce 291 to:
% 107.90/57.31 | (479) ~ (all_0_29_29 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Equations (705) can reduce 607 to:
% 107.90/57.31 | (482) ~ (e4 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 482 yields:
% 107.90/57.31 | (21) ~ (e4 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Equations (705) can reduce 571 to:
% 107.90/57.31 | (643) ~ (e3 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 643 yields:
% 107.90/57.31 | (52) ~ (e3 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Equations (705) can reduce 542 to:
% 107.90/57.31 | (336) ~ (e2 = e0)
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (54), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (1191) all_0_18_18 = e2
% 107.90/57.31 |
% 107.90/57.31 | Equations (1191) can reduce 428 to:
% 107.90/57.31 | (310) ~ (e2 = e1)
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (262), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (829) all_0_19_19 = e1
% 107.90/57.31 |
% 107.90/57.31 | Combining equations (1159,829) yields a new equation:
% 107.90/57.31 | (1113) e3 = e1
% 107.90/57.31 |
% 107.90/57.31 | Simplifying 1113 yields:
% 107.90/57.31 | (928) e3 = e1
% 107.90/57.31 |
% 107.90/57.31 | Equations (928) can reduce 298 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (943) ~ (all_0_19_19 = e1)
% 107.90/57.31 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (316), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (1250) ~ (all_0_39_39 = e2)
% 107.90/57.31 |
% 107.90/57.31 | Equations (705) can reduce 1250 to:
% 107.90/57.31 | (400) $false
% 107.90/57.31 |
% 107.90/57.31 |-The branch is then unsatisfiable
% 107.90/57.31 |-Branch two:
% 107.90/57.31 | (705) all_0_39_39 = e2
% 107.90/57.31 | (8374) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (2615), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (12168) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (12168), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (11774) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.31 |
% 107.90/57.31 | Applying alpha-rule on (11774) yields:
% 107.90/57.31 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.31 | (11776) ~ (all_0_3_3 = e4)
% 107.90/57.31 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.31 |
% 107.90/57.31 | Combining equations (601,11769) yields a new equation:
% 107.90/57.31 | (12173) all_0_4_4 = e4
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (2623), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (12174) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 107.90/57.31 |
% 107.90/57.31 +-Applying beta-rule and splitting (12174), into two cases.
% 107.90/57.31 |-Branch one:
% 107.90/57.31 | (12175) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.31 |
% 107.90/57.31 | Applying alpha-rule on (12175) yields:
% 107.90/57.31 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.31 | (12177) ~ (all_0_3_3 = e2)
% 107.90/57.31 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.31 |
% 107.90/57.32 | Combining equations (11769,12173) yields a new equation:
% 107.90/57.32 | (12179) all_0_34_34 = e4
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 12179 yields:
% 107.90/57.32 | (601) all_0_34_34 = e4
% 107.90/57.32 |
% 107.90/57.32 +-Applying beta-rule and splitting (4556), into two cases.
% 107.90/57.32 |-Branch one:
% 107.90/57.32 | (4559) all_0_26_26 = e1
% 107.90/57.32 |
% 107.90/57.32 | Combining equations (471,4559) yields a new equation:
% 107.90/57.32 | (620) e2 = e1
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 620 yields:
% 107.90/57.32 | (621) e2 = e1
% 107.90/57.32 |
% 107.90/57.32 | Equations (621) can reduce 310 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (416) ~ (all_0_26_26 = e1)
% 107.90/57.32 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.90/57.32 |
% 107.90/57.32 | Equations (471) can reduce 416 to:
% 107.90/57.32 | (310) ~ (e2 = e1)
% 107.90/57.32 |
% 107.90/57.32 +-Applying beta-rule and splitting (944), into two cases.
% 107.90/57.32 |-Branch one:
% 107.90/57.32 | (8658) all_0_24_24 = e1
% 107.90/57.32 |
% 107.90/57.32 | Combining equations (8658,488) yields a new equation:
% 107.90/57.32 | (530) e1 = e0
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 530 yields:
% 107.90/57.32 | (531) e1 = e0
% 107.90/57.32 |
% 107.90/57.32 | Equations (531) can reduce 40 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (432) ~ (all_0_24_24 = e1)
% 107.90/57.32 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.32 |
% 107.90/57.32 +-Applying beta-rule and splitting (8663), into two cases.
% 107.90/57.32 |-Branch one:
% 107.90/57.32 | (4599) all_0_29_29 = e1
% 107.90/57.32 |
% 107.90/57.32 | From (4599) and (3043) follows:
% 107.90/57.32 | (12195) op(e1, e2) = all_0_6_6
% 107.90/57.32 |
% 107.90/57.32 | Instantiating formula (29) with e1, e2, all_0_6_6, e3 and discharging atoms op(e1, e2) = all_0_6_6, op(e1, e2) = e3, yields:
% 107.90/57.32 | (879) all_0_6_6 = e3
% 107.90/57.32 |
% 107.90/57.32 | Equations (879) can reduce 874 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (2946) ~ (all_0_29_29 = e1)
% 107.90/57.32 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.32 |
% 107.90/57.32 +-Applying beta-rule and splitting (11125), into two cases.
% 107.90/57.32 |-Branch one:
% 107.90/57.32 | (4342) all_0_34_34 = e1
% 107.90/57.32 |
% 107.90/57.32 | Combining equations (601,4342) yields a new equation:
% 107.90/57.32 | (975) e4 = e1
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 975 yields:
% 107.90/57.32 | (838) e4 = e1
% 107.90/57.32 |
% 107.90/57.32 | Equations (838) can reduce 56 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (421) ~ (all_0_34_34 = e1)
% 107.90/57.32 | (1252) all_0_39_39 = e1
% 107.90/57.32 |
% 107.90/57.32 | Combining equations (705,1252) yields a new equation:
% 107.90/57.32 | (620) e2 = e1
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 620 yields:
% 107.90/57.32 | (621) e2 = e1
% 107.90/57.32 |
% 107.90/57.32 | Equations (621) can reduce 310 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (11820) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)
% 107.90/57.32 |
% 107.90/57.32 | Applying alpha-rule on (11820) yields:
% 107.90/57.32 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.32 | (2554) ~ (all_0_34_34 = e4)
% 107.90/57.32 |
% 107.90/57.32 | Combining equations (11769,12173) yields a new equation:
% 107.90/57.32 | (12179) all_0_34_34 = e4
% 107.90/57.32 |
% 107.90/57.32 | Simplifying 12179 yields:
% 107.90/57.32 | (601) all_0_34_34 = e4
% 107.90/57.32 |
% 107.90/57.32 | Equations (601) can reduce 2554 to:
% 107.90/57.32 | (400) $false
% 107.90/57.32 |
% 107.90/57.32 |-The branch is then unsatisfiable
% 107.90/57.32 |-Branch two:
% 107.90/57.32 | (12215) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3)
% 107.90/57.32 |
% 107.90/57.32 | Applying alpha-rule on (12215) yields:
% 107.90/57.32 | (11817) all_0_5_5 = all_0_38_38
% 107.90/57.32 | (3095) ~ (all_0_38_38 = e3)
% 107.90/57.32 |
% 107.90/57.33 | Equations (3208) can reduce 3095 to:
% 107.90/57.33 | (400) $false
% 107.90/57.33 |
% 107.90/57.33 |-The branch is then unsatisfiable
% 107.90/57.33 |-Branch two:
% 107.90/57.33 | (12219) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e2)
% 107.90/57.33 |
% 107.90/57.33 | Applying alpha-rule on (12219) yields:
% 107.90/57.33 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.33 | (4340) ~ (all_0_34_34 = e2)
% 107.90/57.33 |
% 107.90/57.33 | Combining equations (601,11769) yields a new equation:
% 107.90/57.33 | (12173) all_0_4_4 = e4
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (2623), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (12174) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (12174), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (12175) all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e2) & op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.33 |
% 107.90/57.33 | Applying alpha-rule on (12175) yields:
% 107.90/57.33 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.33 | (12177) ~ (all_0_3_3 = e2)
% 107.90/57.33 | (11771) op(all_0_34_34, e1) = all_0_3_3
% 107.90/57.33 |
% 107.90/57.33 | Combining equations (11769,12173) yields a new equation:
% 107.90/57.33 | (12179) all_0_34_34 = e4
% 107.90/57.33 |
% 107.90/57.33 | Simplifying 12179 yields:
% 107.90/57.33 | (601) all_0_34_34 = e4
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (4556), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (4559) all_0_26_26 = e1
% 107.90/57.33 |
% 107.90/57.33 | Combining equations (471,4559) yields a new equation:
% 107.90/57.33 | (620) e2 = e1
% 107.90/57.33 |
% 107.90/57.33 | Simplifying 620 yields:
% 107.90/57.33 | (621) e2 = e1
% 107.90/57.33 |
% 107.90/57.33 | Equations (621) can reduce 310 to:
% 107.90/57.33 | (400) $false
% 107.90/57.33 |
% 107.90/57.33 |-The branch is then unsatisfiable
% 107.90/57.33 |-Branch two:
% 107.90/57.33 | (416) ~ (all_0_26_26 = e1)
% 107.90/57.33 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 107.90/57.33 |
% 107.90/57.33 | Equations (471) can reduce 416 to:
% 107.90/57.33 | (310) ~ (e2 = e1)
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (944), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (8658) all_0_24_24 = e1
% 107.90/57.33 |
% 107.90/57.33 | Combining equations (8658,488) yields a new equation:
% 107.90/57.33 | (530) e1 = e0
% 107.90/57.33 |
% 107.90/57.33 | Simplifying 530 yields:
% 107.90/57.33 | (531) e1 = e0
% 107.90/57.33 |
% 107.90/57.33 | Equations (531) can reduce 40 to:
% 107.90/57.33 | (400) $false
% 107.90/57.33 |
% 107.90/57.33 |-The branch is then unsatisfiable
% 107.90/57.33 |-Branch two:
% 107.90/57.33 | (432) ~ (all_0_24_24 = e1)
% 107.90/57.33 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (8663), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (4599) all_0_29_29 = e1
% 107.90/57.33 |
% 107.90/57.33 | From (4599) and (3043) follows:
% 107.90/57.33 | (12195) op(e1, e2) = all_0_6_6
% 107.90/57.33 |
% 107.90/57.33 | Instantiating formula (29) with e1, e2, all_0_6_6, e3 and discharging atoms op(e1, e2) = all_0_6_6, op(e1, e2) = e3, yields:
% 107.90/57.33 | (879) all_0_6_6 = e3
% 107.90/57.33 |
% 107.90/57.33 | Equations (879) can reduce 874 to:
% 107.90/57.33 | (400) $false
% 107.90/57.33 |
% 107.90/57.33 |-The branch is then unsatisfiable
% 107.90/57.33 |-Branch two:
% 107.90/57.33 | (2946) ~ (all_0_29_29 = e1)
% 107.90/57.33 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 107.90/57.33 |
% 107.90/57.33 +-Applying beta-rule and splitting (11125), into two cases.
% 107.90/57.33 |-Branch one:
% 107.90/57.33 | (4342) all_0_34_34 = e1
% 107.90/57.33 |
% 107.90/57.34 | Combining equations (601,4342) yields a new equation:
% 107.90/57.34 | (975) e4 = e1
% 107.90/57.34 |
% 107.90/57.34 | Simplifying 975 yields:
% 107.90/57.34 | (838) e4 = e1
% 107.90/57.34 |
% 107.90/57.34 | Equations (838) can reduce 56 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (421) ~ (all_0_34_34 = e1)
% 107.90/57.34 | (1252) all_0_39_39 = e1
% 107.90/57.34 |
% 107.90/57.34 | Combining equations (705,1252) yields a new equation:
% 107.90/57.34 | (620) e2 = e1
% 107.90/57.34 |
% 107.90/57.34 | Simplifying 620 yields:
% 107.90/57.34 | (621) e2 = e1
% 107.90/57.34 |
% 107.90/57.34 | Equations (621) can reduce 310 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (11820) all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)
% 107.90/57.34 |
% 107.90/57.34 | Applying alpha-rule on (11820) yields:
% 107.90/57.34 | (11769) all_0_4_4 = all_0_34_34
% 107.90/57.34 | (2554) ~ (all_0_34_34 = e4)
% 107.90/57.34 |
% 107.90/57.34 | Combining equations (11769,12173) yields a new equation:
% 107.90/57.34 | (12179) all_0_34_34 = e4
% 107.90/57.34 |
% 107.90/57.34 | Simplifying 12179 yields:
% 107.90/57.34 | (601) all_0_34_34 = e4
% 107.90/57.34 |
% 107.90/57.34 | Equations (601) can reduce 2554 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (12215) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3)
% 107.90/57.34 |
% 107.90/57.34 | Applying alpha-rule on (12215) yields:
% 107.90/57.34 | (11817) all_0_5_5 = all_0_38_38
% 107.90/57.34 | (3095) ~ (all_0_38_38 = e3)
% 107.90/57.34 |
% 107.90/57.34 | Equations (3208) can reduce 3095 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (12215) all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e3)
% 107.90/57.34 |
% 107.90/57.34 | Applying alpha-rule on (12215) yields:
% 107.90/57.34 | (11817) all_0_5_5 = all_0_38_38
% 107.90/57.34 | (3095) ~ (all_0_38_38 = e3)
% 107.90/57.34 |
% 107.90/57.34 | Equations (3208) can reduce 3095 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (638) ~ (all_0_18_18 = e2)
% 107.90/57.34 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 107.90/57.34 |
% 107.90/57.34 +-Applying beta-rule and splitting (160), into two cases.
% 107.90/57.34 |-Branch one:
% 107.90/57.34 | (711) all_0_15_15 = e2
% 107.90/57.34 |
% 107.90/57.34 | Combining equations (711,736) yields a new equation:
% 107.90/57.34 | (524) e2 = e0
% 107.90/57.34 |
% 107.90/57.34 | Simplifying 524 yields:
% 107.90/57.34 | (525) e2 = e0
% 107.90/57.34 |
% 107.90/57.34 | Equations (525) can reduce 336 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (769) ~ (all_0_15_15 = e2)
% 107.90/57.34 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.90/57.34 |
% 107.90/57.34 +-Applying beta-rule and splitting (88), into two cases.
% 107.90/57.34 |-Branch one:
% 107.90/57.34 | (941) all_0_29_29 = e4
% 107.90/57.34 |
% 107.90/57.34 | Equations (941) can reduce 603 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (603) ~ (all_0_29_29 = e4)
% 107.90/57.34 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.90/57.34 |
% 107.90/57.34 +-Applying beta-rule and splitting (1146), into two cases.
% 107.90/57.34 |-Branch one:
% 107.90/57.34 | (1147) all_0_18_18 = e3
% 107.90/57.34 |
% 107.90/57.34 | Equations (1147) can reduce 1189 to:
% 107.90/57.34 | (400) $false
% 107.90/57.34 |
% 107.90/57.34 |-The branch is then unsatisfiable
% 107.90/57.34 |-Branch two:
% 107.90/57.34 | (1189) ~ (all_0_18_18 = e3)
% 107.90/57.34 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 107.90/57.34 |
% 107.90/57.34 +-Applying beta-rule and splitting (5059), into two cases.
% 107.90/57.34 |-Branch one:
% 107.90/57.35 | (3056) all_0_29_29 = e3
% 107.90/57.35 |
% 107.90/57.35 | Equations (3056) can reduce 3115 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (3115) ~ (all_0_29_29 = e3)
% 107.90/57.35 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (5198), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (5199) all_0_29_29 = e2
% 107.90/57.35 |
% 107.90/57.35 | Equations (5199) can reduce 479 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (479) ~ (all_0_29_29 = e2)
% 107.90/57.35 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (1235), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (1236) all_0_16_16 = e2
% 107.90/57.35 |
% 107.90/57.35 | Combining equations (1236,454) yields a new equation:
% 107.90/57.35 | (798) e4 = e2
% 107.90/57.35 |
% 107.90/57.35 | Equations (798) can reduce 21 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (1239) ~ (all_0_16_16 = e2)
% 107.90/57.35 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (5202), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (4599) all_0_29_29 = e1
% 107.90/57.35 |
% 107.90/57.35 | Equations (4599) can reduce 479 to:
% 107.90/57.35 | (766) ~ (e2 = e1)
% 107.90/57.35 |
% 107.90/57.35 | Simplifying 766 yields:
% 107.90/57.35 | (310) ~ (e2 = e1)
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (1240), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (1177) all_0_17_17 = e2
% 107.90/57.35 |
% 107.90/57.35 | Combining equations (1177,980) yields a new equation:
% 107.90/57.35 | (620) e2 = e1
% 107.90/57.35 |
% 107.90/57.35 | Simplifying 620 yields:
% 107.90/57.35 | (621) e2 = e1
% 107.90/57.35 |
% 107.90/57.35 | Equations (621) can reduce 310 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (396) ~ (all_0_17_17 = e2)
% 107.90/57.35 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (1190), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (1191) all_0_18_18 = e2
% 107.90/57.35 |
% 107.90/57.35 | Equations (1191) can reduce 638 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (638) ~ (all_0_18_18 = e2)
% 107.90/57.35 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (1244), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (1191) all_0_18_18 = e2
% 107.90/57.35 |
% 107.90/57.35 | Equations (1191) can reduce 638 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (638) ~ (all_0_18_18 = e2)
% 107.90/57.35 | (1163) all_0_19_19 = e2
% 107.90/57.35 |
% 107.90/57.35 | Combining equations (1163,1159) yields a new equation:
% 107.90/57.35 | (615) e3 = e2
% 107.90/57.35 |
% 107.90/57.35 | Equations (615) can reduce 52 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (2946) ~ (all_0_29_29 = e1)
% 107.90/57.35 | (5206) all_0_29_29 = e0
% 107.90/57.35 |
% 107.90/57.35 | Equations (5206) can reduce 493 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (1250) ~ (all_0_39_39 = e2)
% 107.90/57.35 | (1251) all_0_39_39 = e1 | all_0_39_39 = e0
% 107.90/57.35 |
% 107.90/57.35 +-Applying beta-rule and splitting (1251), into two cases.
% 107.90/57.35 |-Branch one:
% 107.90/57.35 | (1252) all_0_39_39 = e1
% 107.90/57.35 |
% 107.90/57.35 | Equations (1252) can reduce 696 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (696) ~ (all_0_39_39 = e1)
% 107.90/57.35 | (1255) all_0_39_39 = e0
% 107.90/57.35 |
% 107.90/57.35 | Equations (1255) can reduce 542 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 107.90/57.35 |-Branch two:
% 107.90/57.35 | (1138) ~ (all_0_35_35 = e1)
% 107.90/57.35 | (1139) all_0_35_35 = e0
% 107.90/57.35 |
% 107.90/57.35 | Equations (1139) can reduce 536 to:
% 107.90/57.35 | (400) $false
% 107.90/57.35 |
% 107.90/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (8458) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)
% 108.09/57.35 |
% 108.09/57.35 | Applying alpha-rule on (8458) yields:
% 108.09/57.35 | (3041) all_0_7_7 = all_0_29_29
% 108.09/57.35 | (2946) ~ (all_0_29_29 = e1)
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (43), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (1495) all_0_25_25 = e1
% 108.09/57.35 |
% 108.09/57.35 | Combining equations (1698,1495) yields a new equation:
% 108.09/57.35 | (1113) e3 = e1
% 108.09/57.35 |
% 108.09/57.35 | Simplifying 1113 yields:
% 108.09/57.35 | (928) e3 = e1
% 108.09/57.35 |
% 108.09/57.35 | Equations (928) can reduce 298 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (1519) ~ (all_0_25_25 = e1)
% 108.09/57.35 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 108.09/57.35 |
% 108.09/57.35 | Equations (1698) can reduce 1519 to:
% 108.09/57.35 | (298) ~ (e3 = e1)
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (254), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (728) all_0_35_35 = e3
% 108.09/57.35 |
% 108.09/57.35 | Equations (728) can reduce 585 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (585) ~ (all_0_35_35 = e3)
% 108.09/57.35 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (1742), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (3107) all_0_23_23 = e3
% 108.09/57.35 |
% 108.09/57.35 | Combining equations (3107,427) yields a new equation:
% 108.09/57.35 | (1113) e3 = e1
% 108.09/57.35 |
% 108.09/57.35 | Simplifying 1113 yields:
% 108.09/57.35 | (928) e3 = e1
% 108.09/57.35 |
% 108.09/57.35 | Equations (928) can reduce 298 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (1361) ~ (all_0_23_23 = e3)
% 108.09/57.35 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (3112), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (1106) all_0_28_28 = e3
% 108.09/57.35 |
% 108.09/57.35 | Combining equations (854,1106) yields a new equation:
% 108.09/57.35 | (596) e4 = e3
% 108.09/57.35 |
% 108.09/57.35 | Simplifying 596 yields:
% 108.09/57.35 | (597) e4 = e3
% 108.09/57.35 |
% 108.09/57.35 | Equations (597) can reduce 255 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (893) ~ (all_0_28_28 = e3)
% 108.09/57.35 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (128), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (724) all_0_35_35 = e4
% 108.09/57.35 |
% 108.09/57.35 | Equations (724) can reduce 509 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (509) ~ (all_0_35_35 = e4)
% 108.09/57.35 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (727), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (728) all_0_35_35 = e3
% 108.09/57.35 |
% 108.09/57.35 | Equations (728) can reduce 585 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (585) ~ (all_0_35_35 = e3)
% 108.09/57.35 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (731), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (732) all_0_35_35 = e2
% 108.09/57.35 |
% 108.09/57.35 | Equations (732) can reduce 719 to:
% 108.09/57.35 | (400) $false
% 108.09/57.35 |
% 108.09/57.35 |-The branch is then unsatisfiable
% 108.09/57.35 |-Branch two:
% 108.09/57.35 | (719) ~ (all_0_35_35 = e2)
% 108.09/57.35 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.35 |
% 108.09/57.35 +-Applying beta-rule and splitting (735), into two cases.
% 108.09/57.35 |-Branch one:
% 108.09/57.35 | (761) all_0_35_35 = e1
% 108.09/57.35 |
% 108.09/57.35 | Equations (761) can reduce 63 to:
% 108.09/57.35 | (12123) ~ (all_0_39_39 = e1)
% 108.09/57.36 |
% 108.09/57.36 | Simplifying 12123 yields:
% 108.09/57.36 | (696) ~ (all_0_39_39 = e1)
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (300), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (697) all_0_39_39 = e4
% 108.09/57.36 |
% 108.09/57.36 | Equations (697) can reduce 607 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (607) ~ (all_0_39_39 = e4)
% 108.09/57.36 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (3201), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (1360) all_0_33_33 = e3
% 108.09/57.36 |
% 108.09/57.36 | Combining equations (1463,1360) yields a new equation:
% 108.09/57.36 | (648) e3 = e0
% 108.09/57.36 |
% 108.09/57.36 | Equations (648) can reduce 80 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (574) ~ (all_0_33_33 = e3)
% 108.09/57.36 | (3208) all_0_38_38 = e3
% 108.09/57.36 |
% 108.09/57.36 | Equations (3208) can reduce 231 to:
% 108.09/57.36 | (10723) ~ (all_0_39_39 = e3)
% 108.09/57.36 |
% 108.09/57.36 | Simplifying 10723 yields:
% 108.09/57.36 | (571) ~ (all_0_39_39 = e3)
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (700), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (701) all_0_39_39 = e3
% 108.09/57.36 |
% 108.09/57.36 | Equations (701) can reduce 571 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (571) ~ (all_0_39_39 = e3)
% 108.09/57.36 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (704), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (705) all_0_39_39 = e2
% 108.09/57.36 |
% 108.09/57.36 | Equations (705) can reduce 291 to:
% 108.09/57.36 | (479) ~ (all_0_29_29 = e2)
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (88), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (941) all_0_29_29 = e4
% 108.09/57.36 |
% 108.09/57.36 | Equations (941) can reduce 603 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (603) ~ (all_0_29_29 = e4)
% 108.09/57.36 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (5059), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (3056) all_0_29_29 = e3
% 108.09/57.36 |
% 108.09/57.36 | Equations (3056) can reduce 3115 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (3115) ~ (all_0_29_29 = e3)
% 108.09/57.36 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (5198), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (5199) all_0_29_29 = e2
% 108.09/57.36 |
% 108.09/57.36 | Equations (5199) can reduce 479 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (479) ~ (all_0_29_29 = e2)
% 108.09/57.36 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (5202), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (4599) all_0_29_29 = e1
% 108.09/57.36 |
% 108.09/57.36 | Equations (4599) can reduce 2946 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (2946) ~ (all_0_29_29 = e1)
% 108.09/57.36 | (5206) all_0_29_29 = e0
% 108.09/57.36 |
% 108.09/57.36 | Equations (5206) can reduce 493 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (1250) ~ (all_0_39_39 = e2)
% 108.09/57.36 | (1251) all_0_39_39 = e1 | all_0_39_39 = e0
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (1251), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (1252) all_0_39_39 = e1
% 108.09/57.36 |
% 108.09/57.36 | Equations (1252) can reduce 696 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (696) ~ (all_0_39_39 = e1)
% 108.09/57.36 | (1255) all_0_39_39 = e0
% 108.09/57.36 |
% 108.09/57.36 | Equations (1255) can reduce 542 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (1138) ~ (all_0_35_35 = e1)
% 108.09/57.36 | (1139) all_0_35_35 = e0
% 108.09/57.36 |
% 108.09/57.36 | Equations (1139) can reduce 536 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.09/57.36 |
% 108.09/57.36 | Applying alpha-rule on (8464) yields:
% 108.09/57.36 | (3052) all_0_8_8 = all_0_37_37
% 108.09/57.36 | (1002) ~ (all_0_37_37 = e4)
% 108.09/57.36 |
% 108.09/57.36 | Equations (847) can reduce 1002 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (577) ~ (all_0_25_25 = e3)
% 108.09/57.36 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (1742), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (3107) all_0_23_23 = e3
% 108.09/57.36 |
% 108.09/57.36 | Combining equations (3107,427) yields a new equation:
% 108.09/57.36 | (1113) e3 = e1
% 108.09/57.36 |
% 108.09/57.36 | Simplifying 1113 yields:
% 108.09/57.36 | (928) e3 = e1
% 108.09/57.36 |
% 108.09/57.36 | Equations (928) can reduce 298 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (1361) ~ (all_0_23_23 = e3)
% 108.09/57.36 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (3112), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (1106) all_0_28_28 = e3
% 108.09/57.36 |
% 108.09/57.36 | Combining equations (854,1106) yields a new equation:
% 108.09/57.36 | (596) e4 = e3
% 108.09/57.36 |
% 108.09/57.36 | Simplifying 596 yields:
% 108.09/57.36 | (597) e4 = e3
% 108.09/57.36 |
% 108.09/57.36 | Equations (597) can reduce 255 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (893) ~ (all_0_28_28 = e3)
% 108.09/57.36 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 108.09/57.36 |
% 108.09/57.36 +-Applying beta-rule and splitting (3201), into two cases.
% 108.09/57.36 |-Branch one:
% 108.09/57.36 | (1360) all_0_33_33 = e3
% 108.09/57.36 |
% 108.09/57.36 | Combining equations (1463,1360) yields a new equation:
% 108.09/57.36 | (648) e3 = e0
% 108.09/57.36 |
% 108.09/57.36 | Equations (648) can reduce 80 to:
% 108.09/57.36 | (400) $false
% 108.09/57.36 |
% 108.09/57.36 |-The branch is then unsatisfiable
% 108.09/57.36 |-Branch two:
% 108.09/57.36 | (574) ~ (all_0_33_33 = e3)
% 108.09/57.36 | (3208) all_0_38_38 = e3
% 108.09/57.36 |
% 108.09/57.36 | Equations (3208) can reduce 38 to:
% 108.09/57.36 | (1189) ~ (all_0_18_18 = e3)
% 108.09/57.36 |
% 108.09/57.36 | Equations (3208) can reduce 210 to:
% 108.09/57.36 | (585) ~ (all_0_35_35 = e3)
% 108.09/57.36 |
% 108.09/57.37 | Equations (3208) can reduce 231 to:
% 108.09/57.37 | (10723) ~ (all_0_39_39 = e3)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 10723 yields:
% 108.09/57.37 | (571) ~ (all_0_39_39 = e3)
% 108.09/57.37 |
% 108.09/57.37 | Equations (3208) can reduce 1835 to:
% 108.09/57.37 | (558) ~ (e4 = e3)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 558 yields:
% 108.09/57.37 | (255) ~ (e4 = e3)
% 108.09/57.37 |
% 108.09/57.37 | Equations (3208) can reduce 540 to:
% 108.09/57.37 | (80) ~ (e3 = e0)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (54), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (1191) all_0_18_18 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (1191) can reduce 1189 to:
% 108.09/57.37 | (643) ~ (e3 = e2)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 643 yields:
% 108.09/57.37 | (52) ~ (e3 = e2)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (3006), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (3007) all_0_26_26 = e3
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (471,3007) yields a new equation:
% 108.09/57.37 | (615) e3 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (615) can reduce 52 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (3010) ~ (all_0_26_26 = e3)
% 108.09/57.37 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.09/57.37 |
% 108.09/57.37 | Equations (471) can reduce 3010 to:
% 108.09/57.37 | (643) ~ (e3 = e2)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 643 yields:
% 108.09/57.37 | (52) ~ (e3 = e2)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (128), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (724) all_0_35_35 = e4
% 108.09/57.37 |
% 108.09/57.37 | Equations (724) can reduce 509 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (509) ~ (all_0_35_35 = e4)
% 108.09/57.37 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (168), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (1163) all_0_19_19 = e2
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (1159,1163) yields a new equation:
% 108.09/57.37 | (614) e3 = e2
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 614 yields:
% 108.09/57.37 | (615) e3 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (615) can reduce 52 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (706) ~ (all_0_19_19 = e2)
% 108.09/57.37 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (1159) can reduce 706 to:
% 108.09/57.37 | (52) ~ (e3 = e2)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (6683), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (6785) all_0_20_20 = e3
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (500,6785) yields a new equation:
% 108.09/57.37 | (596) e4 = e3
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 596 yields:
% 108.09/57.37 | (597) e4 = e3
% 108.09/57.37 |
% 108.09/57.37 | Equations (597) can reduce 255 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (1306) ~ (all_0_20_20 = e3)
% 108.09/57.37 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (6789), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (1698) all_0_25_25 = e3
% 108.09/57.37 |
% 108.09/57.37 | Equations (1698) can reduce 577 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (577) ~ (all_0_25_25 = e3)
% 108.09/57.37 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (727), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (728) all_0_35_35 = e3
% 108.09/57.37 |
% 108.09/57.37 | Equations (728) can reduce 585 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (585) ~ (all_0_35_35 = e3)
% 108.09/57.37 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (731), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (732) all_0_35_35 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (732) can reduce 719 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (719) ~ (all_0_35_35 = e2)
% 108.09/57.37 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (735), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (761) all_0_35_35 = e1
% 108.09/57.37 |
% 108.09/57.37 | Equations (761) can reduce 585 to:
% 108.09/57.37 | (824) ~ (e3 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 824 yields:
% 108.09/57.37 | (298) ~ (e3 = e1)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (7020), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (575) all_0_30_30 = e3
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (575,613) yields a new equation:
% 108.09/57.37 | (614) e3 = e2
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 614 yields:
% 108.09/57.37 | (615) e3 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (615) can reduce 52 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (1800) ~ (all_0_30_30 = e3)
% 108.09/57.37 | (728) all_0_35_35 = e3
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (728,761) yields a new equation:
% 108.09/57.37 | (1113) e3 = e1
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 1113 yields:
% 108.09/57.37 | (928) e3 = e1
% 108.09/57.37 |
% 108.09/57.37 | Equations (928) can reduce 298 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (1138) ~ (all_0_35_35 = e1)
% 108.09/57.37 | (1139) all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 | Equations (1139) can reduce 536 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (638) ~ (all_0_18_18 = e2)
% 108.09/57.37 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (128), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (724) all_0_35_35 = e4
% 108.09/57.37 |
% 108.09/57.37 | Equations (724) can reduce 509 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (509) ~ (all_0_35_35 = e4)
% 108.09/57.37 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (121), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (732) all_0_35_35 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (732) can reduce 719 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (719) ~ (all_0_35_35 = e2)
% 108.09/57.37 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (1477), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (1478) all_0_36_36 = e2
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (534,1478) yields a new equation:
% 108.09/57.37 | (525) e2 = e0
% 108.09/57.37 |
% 108.09/57.37 | Equations (525) can reduce 336 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (481) ~ (all_0_36_36 = e2)
% 108.09/57.37 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (534) can reduce 481 to:
% 108.09/57.37 | (496) ~ (e2 = e0)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 496 yields:
% 108.09/57.37 | (336) ~ (e2 = e0)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (727), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (728) all_0_35_35 = e3
% 108.09/57.37 |
% 108.09/57.37 | Equations (728) can reduce 585 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (585) ~ (all_0_35_35 = e3)
% 108.09/57.37 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (731), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (732) all_0_35_35 = e2
% 108.09/57.37 |
% 108.09/57.37 | Equations (732) can reduce 719 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (719) ~ (all_0_35_35 = e2)
% 108.09/57.37 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (735), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (761) all_0_35_35 = e1
% 108.09/57.37 |
% 108.09/57.37 | Equations (761) can reduce 63 to:
% 108.09/57.37 | (12123) ~ (all_0_39_39 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 12123 yields:
% 108.09/57.37 | (696) ~ (all_0_39_39 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Equations (761) can reduce 509 to:
% 108.09/57.37 | (764) ~ (e4 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 764 yields:
% 108.09/57.37 | (56) ~ (e4 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Equations (761) can reduce 585 to:
% 108.09/57.37 | (824) ~ (e3 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Simplifying 824 yields:
% 108.09/57.37 | (298) ~ (e3 = e1)
% 108.09/57.37 |
% 108.09/57.37 | Equations (761) can reduce 536 to:
% 108.09/57.37 | (40) ~ (e1 = e0)
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (159), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (739) ~ (all_0_15_15 = e0)
% 108.09/57.37 |
% 108.09/57.37 | Equations (736) can reduce 739 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (736) all_0_15_15 = e0
% 108.09/57.37 | (11294) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (262), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (829) all_0_19_19 = e1
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (829,1159) yields a new equation:
% 108.09/57.37 | (928) e3 = e1
% 108.09/57.37 |
% 108.09/57.37 | Equations (928) can reduce 298 to:
% 108.09/57.37 | (400) $false
% 108.09/57.37 |
% 108.09/57.37 |-The branch is then unsatisfiable
% 108.09/57.37 |-Branch two:
% 108.09/57.37 | (943) ~ (all_0_19_19 = e1)
% 108.09/57.37 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.09/57.37 |
% 108.09/57.37 +-Applying beta-rule and splitting (944), into two cases.
% 108.09/57.37 |-Branch one:
% 108.09/57.37 | (8658) all_0_24_24 = e1
% 108.09/57.37 |
% 108.09/57.37 | Combining equations (8658,488) yields a new equation:
% 108.09/57.38 | (530) e1 = e0
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 530 yields:
% 108.09/57.38 | (531) e1 = e0
% 108.09/57.38 |
% 108.09/57.38 | Equations (531) can reduce 40 to:
% 108.09/57.38 | (400) $false
% 108.09/57.38 |
% 108.09/57.38 |-The branch is then unsatisfiable
% 108.09/57.38 |-Branch two:
% 108.09/57.38 | (432) ~ (all_0_24_24 = e1)
% 108.09/57.38 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (8663), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (4599) all_0_29_29 = e1
% 108.09/57.38 |
% 108.09/57.38 | Equations (4599) can reduce 291 to:
% 108.09/57.38 | (12123) ~ (all_0_39_39 = e1)
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 12123 yields:
% 108.09/57.38 | (696) ~ (all_0_39_39 = e1)
% 108.09/57.38 |
% 108.09/57.38 | Equations (4599) can reduce 493 to:
% 108.09/57.38 | (40) ~ (e1 = e0)
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (300), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (697) all_0_39_39 = e4
% 108.09/57.38 |
% 108.09/57.38 | Equations (697) can reduce 607 to:
% 108.09/57.38 | (400) $false
% 108.09/57.38 |
% 108.09/57.38 |-The branch is then unsatisfiable
% 108.09/57.38 |-Branch two:
% 108.09/57.38 | (607) ~ (all_0_39_39 = e4)
% 108.09/57.38 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (251), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1278), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1279), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1280), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1281), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1282), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1283), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1284), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1285), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1286), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1287), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1288), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1289), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1290), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1291), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1292), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1293), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1294), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.09/57.38 |
% 108.09/57.38 +-Applying beta-rule and splitting (1295), into two cases.
% 108.09/57.38 |-Branch one:
% 108.09/57.38 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.09/57.38 |
% 108.09/57.38 | Applying alpha-rule on (1296) yields:
% 108.09/57.38 | (1297) all_0_15_15 = e3
% 108.09/57.38 | (550) all_0_21_21 = e4
% 108.09/57.38 | (1299) ~ (all_0_16_16 = e4)
% 108.09/57.38 |
% 108.09/57.38 | Combining equations (1297,736) yields a new equation:
% 108.09/57.38 | (647) e3 = e0
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 647 yields:
% 108.09/57.38 | (648) e3 = e0
% 108.09/57.38 |
% 108.09/57.38 | Equations (648) can reduce 80 to:
% 108.09/57.38 | (400) $false
% 108.09/57.38 |
% 108.09/57.38 |-The branch is then unsatisfiable
% 108.09/57.38 |-Branch two:
% 108.09/57.38 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.09/57.38 |
% 108.09/57.38 | Applying alpha-rule on (1303) yields:
% 108.09/57.38 | (1297) all_0_15_15 = e3
% 108.09/57.38 | (550) all_0_21_21 = e4
% 108.09/57.38 | (1306) ~ (all_0_20_20 = e3)
% 108.09/57.38 |
% 108.09/57.38 | Combining equations (1297,736) yields a new equation:
% 108.09/57.38 | (647) e3 = e0
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 647 yields:
% 108.09/57.38 | (648) e3 = e0
% 108.09/57.38 |
% 108.09/57.38 | Equations (648) can reduce 80 to:
% 108.09/57.38 | (400) $false
% 108.09/57.38 |
% 108.09/57.38 |-The branch is then unsatisfiable
% 108.09/57.38 |-Branch two:
% 108.09/57.38 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.09/57.38 |
% 108.09/57.38 | Applying alpha-rule on (1310) yields:
% 108.09/57.38 | (711) all_0_15_15 = e2
% 108.09/57.38 | (804) all_0_27_27 = e4
% 108.09/57.38 | (456) ~ (all_0_17_17 = e4)
% 108.09/57.38 |
% 108.09/57.38 | Combining equations (711,736) yields a new equation:
% 108.09/57.38 | (524) e2 = e0
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 524 yields:
% 108.09/57.38 | (525) e2 = e0
% 108.09/57.38 |
% 108.09/57.38 | Equations (525) can reduce 336 to:
% 108.09/57.38 | (400) $false
% 108.09/57.38 |
% 108.09/57.38 |-The branch is then unsatisfiable
% 108.09/57.38 |-Branch two:
% 108.09/57.38 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.09/57.38 |
% 108.09/57.38 | Applying alpha-rule on (1315) yields:
% 108.09/57.38 | (711) all_0_15_15 = e2
% 108.09/57.38 | (804) all_0_27_27 = e4
% 108.09/57.38 | (473) ~ (all_0_25_25 = e2)
% 108.09/57.38 |
% 108.09/57.38 | Combining equations (711,736) yields a new equation:
% 108.09/57.38 | (524) e2 = e0
% 108.09/57.38 |
% 108.09/57.38 | Simplifying 524 yields:
% 108.09/57.38 | (525) e2 = e0
% 108.09/57.38 |
% 108.09/57.38 | Equations (525) can reduce 336 to:
% 108.09/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.15/57.38 |
% 108.15/57.38 | Applying alpha-rule on (1320) yields:
% 108.15/57.38 | (969) all_0_15_15 = e1
% 108.15/57.38 | (1322) all_0_33_33 = e4
% 108.15/57.38 | (458) ~ (all_0_18_18 = e4)
% 108.15/57.38 |
% 108.15/57.38 | Combining equations (969,736) yields a new equation:
% 108.15/57.38 | (530) e1 = e0
% 108.15/57.38 |
% 108.15/57.38 | Simplifying 530 yields:
% 108.15/57.38 | (531) e1 = e0
% 108.15/57.38 |
% 108.15/57.38 | Equations (531) can reduce 40 to:
% 108.15/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.15/57.38 |
% 108.15/57.38 | Applying alpha-rule on (1326) yields:
% 108.15/57.38 | (969) all_0_15_15 = e1
% 108.15/57.38 | (1322) all_0_33_33 = e4
% 108.15/57.38 | (417) ~ (all_0_30_30 = e1)
% 108.15/57.38 |
% 108.15/57.38 | Combining equations (969,736) yields a new equation:
% 108.15/57.38 | (530) e1 = e0
% 108.15/57.38 |
% 108.15/57.38 | Simplifying 530 yields:
% 108.15/57.38 | (531) e1 = e0
% 108.15/57.38 |
% 108.15/57.38 | Equations (531) can reduce 40 to:
% 108.15/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.15/57.38 |
% 108.15/57.38 | Applying alpha-rule on (1332) yields:
% 108.15/57.38 | (736) all_0_15_15 = e0
% 108.15/57.38 | (697) all_0_39_39 = e4
% 108.15/57.38 | (460) ~ (all_0_19_19 = e4)
% 108.15/57.38 |
% 108.15/57.38 | Equations (697) can reduce 607 to:
% 108.15/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.15/57.38 |
% 108.15/57.38 | Applying alpha-rule on (1339) yields:
% 108.15/57.38 | (736) all_0_15_15 = e0
% 108.15/57.38 | (697) all_0_39_39 = e4
% 108.15/57.38 | (536) ~ (all_0_35_35 = e0)
% 108.15/57.38 |
% 108.15/57.38 | Equations (697) can reduce 607 to:
% 108.15/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.15/57.38 |
% 108.15/57.38 | Applying alpha-rule on (1346) yields:
% 108.15/57.38 | (1347) all_0_21_21 = e2
% 108.15/57.38 | (808) all_0_27_27 = e3
% 108.15/57.38 | (925) ~ (all_0_22_22 = e3)
% 108.15/57.38 |
% 108.15/57.38 | Combining equations (1347,557) yields a new equation:
% 108.15/57.38 | (615) e3 = e2
% 108.15/57.38 |
% 108.15/57.38 | Combining equations (995,808) yields a new equation:
% 108.15/57.38 | (648) e3 = e0
% 108.15/57.38 |
% 108.15/57.38 | Combining equations (615,648) yields a new equation:
% 108.15/57.38 | (524) e2 = e0
% 108.15/57.38 |
% 108.15/57.38 | Simplifying 524 yields:
% 108.15/57.38 | (525) e2 = e0
% 108.15/57.38 |
% 108.15/57.38 | Equations (525) can reduce 336 to:
% 108.15/57.38 | (400) $false
% 108.15/57.38 |
% 108.15/57.38 |-The branch is then unsatisfiable
% 108.15/57.38 |-Branch two:
% 108.15/57.38 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.15/57.38 |
% 108.15/57.39 | Applying alpha-rule on (1352) yields:
% 108.15/57.39 | (1347) all_0_21_21 = e2
% 108.15/57.39 | (808) all_0_27_27 = e3
% 108.15/57.39 | (1355) ~ (all_0_26_26 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1347,557) yields a new equation:
% 108.15/57.39 | (615) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (995,808) yields a new equation:
% 108.15/57.39 | (648) e3 = e0
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (615,648) yields a new equation:
% 108.15/57.39 | (524) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 524 yields:
% 108.15/57.39 | (525) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (525) can reduce 336 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1358) yields:
% 108.15/57.39 | (1359) all_0_21_21 = e1
% 108.15/57.39 | (1360) all_0_33_33 = e3
% 108.15/57.39 | (1361) ~ (all_0_23_23 = e3)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1359,557) yields a new equation:
% 108.15/57.39 | (928) e3 = e1
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1463,1360) yields a new equation:
% 108.15/57.39 | (648) e3 = e0
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (928,648) yields a new equation:
% 108.15/57.39 | (530) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 530 yields:
% 108.15/57.39 | (531) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (531) can reduce 40 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1367) yields:
% 108.15/57.39 | (1359) all_0_21_21 = e1
% 108.15/57.39 | (1360) all_0_33_33 = e3
% 108.15/57.39 | (1370) ~ (all_0_31_31 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1359,557) yields a new equation:
% 108.15/57.39 | (928) e3 = e1
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1463,1360) yields a new equation:
% 108.15/57.39 | (648) e3 = e0
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (928,648) yields a new equation:
% 108.15/57.39 | (530) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 530 yields:
% 108.15/57.39 | (531) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (531) can reduce 40 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1376) yields:
% 108.15/57.39 | (519) all_0_21_21 = e0
% 108.15/57.39 | (701) all_0_39_39 = e3
% 108.15/57.39 | (1379) ~ (all_0_24_24 = e3)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (519,557) yields a new equation:
% 108.15/57.39 | (648) e3 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (648) can reduce 80 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1385) yields:
% 108.15/57.39 | (519) all_0_21_21 = e0
% 108.15/57.39 | (701) all_0_39_39 = e3
% 108.15/57.39 | (1388) ~ (all_0_36_36 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (519,557) yields a new equation:
% 108.15/57.39 | (648) e3 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (648) can reduce 80 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1394) yields:
% 108.15/57.39 | (816) all_0_27_27 = e1
% 108.15/57.39 | (637) all_0_33_33 = e2
% 108.15/57.39 | (477) ~ (all_0_28_28 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (995,816) yields a new equation:
% 108.15/57.39 | (531) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (531) can reduce 40 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1421) yields:
% 108.15/57.39 | (816) all_0_27_27 = e1
% 108.15/57.39 | (637) all_0_33_33 = e2
% 108.15/57.39 | (419) ~ (all_0_32_32 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (995,816) yields a new equation:
% 108.15/57.39 | (531) e1 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (531) can reduce 40 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1448) yields:
% 108.15/57.39 | (995) all_0_27_27 = e0
% 108.15/57.39 | (705) all_0_39_39 = e2
% 108.15/57.39 | (479) ~ (all_0_29_29 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 607 to:
% 108.15/57.39 | (482) ~ (e4 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 482 yields:
% 108.15/57.39 | (21) ~ (e4 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 571 to:
% 108.15/57.39 | (643) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 643 yields:
% 108.15/57.39 | (52) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 696 to:
% 108.15/57.39 | (310) ~ (e2 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 542 to:
% 108.15/57.39 | (336) ~ (e2 = e0)
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (3006), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (3007) all_0_26_26 = e3
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (471,3007) yields a new equation:
% 108.15/57.39 | (615) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (615) can reduce 52 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (3010) ~ (all_0_26_26 = e3)
% 108.15/57.39 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.15/57.39 |
% 108.15/57.39 | Equations (471) can reduce 3010 to:
% 108.15/57.39 | (643) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 643 yields:
% 108.15/57.39 | (52) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (160), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (711) all_0_15_15 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (711,736) yields a new equation:
% 108.15/57.39 | (524) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 524 yields:
% 108.15/57.39 | (525) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (525) can reduce 336 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (769) ~ (all_0_15_15 = e2)
% 108.15/57.39 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1235), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1236) all_0_16_16 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1236,454) yields a new equation:
% 108.15/57.39 | (798) e4 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (798) can reduce 21 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1239) ~ (all_0_16_16 = e2)
% 108.15/57.39 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1240), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1177) all_0_17_17 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1177,980) yields a new equation:
% 108.15/57.39 | (620) e2 = e1
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 620 yields:
% 108.15/57.39 | (621) e2 = e1
% 108.15/57.39 |
% 108.15/57.39 | Equations (621) can reduce 310 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (396) ~ (all_0_17_17 = e2)
% 108.15/57.39 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1244), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1191) all_0_18_18 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (1191) can reduce 638 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (638) ~ (all_0_18_18 = e2)
% 108.15/57.39 | (1163) all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1159,1163) yields a new equation:
% 108.15/57.39 | (614) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 614 yields:
% 108.15/57.39 | (615) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (615) can reduce 52 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1455) yields:
% 108.15/57.39 | (995) all_0_27_27 = e0
% 108.15/57.39 | (705) all_0_39_39 = e2
% 108.15/57.39 | (538) ~ (all_0_37_37 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 607 to:
% 108.15/57.39 | (482) ~ (e4 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 482 yields:
% 108.15/57.39 | (21) ~ (e4 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 571 to:
% 108.15/57.39 | (643) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 643 yields:
% 108.15/57.39 | (52) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 696 to:
% 108.15/57.39 | (310) ~ (e2 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Equations (705) can reduce 542 to:
% 108.15/57.39 | (336) ~ (e2 = e0)
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (3006), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (3007) all_0_26_26 = e3
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (471,3007) yields a new equation:
% 108.15/57.39 | (615) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (615) can reduce 52 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (3010) ~ (all_0_26_26 = e3)
% 108.15/57.39 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.15/57.39 |
% 108.15/57.39 | Equations (471) can reduce 3010 to:
% 108.15/57.39 | (643) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 643 yields:
% 108.15/57.39 | (52) ~ (e3 = e2)
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (160), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (711) all_0_15_15 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (711,736) yields a new equation:
% 108.15/57.39 | (524) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 524 yields:
% 108.15/57.39 | (525) e2 = e0
% 108.15/57.39 |
% 108.15/57.39 | Equations (525) can reduce 336 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (769) ~ (all_0_15_15 = e2)
% 108.15/57.39 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1235), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1236) all_0_16_16 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1236,454) yields a new equation:
% 108.15/57.39 | (798) e4 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (798) can reduce 21 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1239) ~ (all_0_16_16 = e2)
% 108.15/57.39 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1240), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1177) all_0_17_17 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1177,980) yields a new equation:
% 108.15/57.39 | (620) e2 = e1
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 620 yields:
% 108.15/57.39 | (621) e2 = e1
% 108.15/57.39 |
% 108.15/57.39 | Equations (621) can reduce 310 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (396) ~ (all_0_17_17 = e2)
% 108.15/57.39 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 +-Applying beta-rule and splitting (1244), into two cases.
% 108.15/57.39 |-Branch one:
% 108.15/57.39 | (1191) all_0_18_18 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (1191) can reduce 638 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (638) ~ (all_0_18_18 = e2)
% 108.15/57.39 | (1163) all_0_19_19 = e2
% 108.15/57.39 |
% 108.15/57.39 | Combining equations (1159,1163) yields a new equation:
% 108.15/57.39 | (614) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Simplifying 614 yields:
% 108.15/57.39 | (615) e3 = e2
% 108.15/57.39 |
% 108.15/57.39 | Equations (615) can reduce 52 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1462) yields:
% 108.15/57.39 | (1463) all_0_33_33 = e0
% 108.15/57.39 | (1252) all_0_39_39 = e1
% 108.15/57.39 | (421) ~ (all_0_34_34 = e1)
% 108.15/57.39 |
% 108.15/57.39 | Equations (1252) can reduce 696 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Applying alpha-rule on (1469) yields:
% 108.15/57.39 | (1463) all_0_33_33 = e0
% 108.15/57.39 | (1252) all_0_39_39 = e1
% 108.15/57.39 | (540) ~ (all_0_38_38 = e0)
% 108.15/57.39 |
% 108.15/57.39 | Equations (1252) can reduce 696 to:
% 108.15/57.39 | (400) $false
% 108.15/57.39 |
% 108.15/57.39 |-The branch is then unsatisfiable
% 108.15/57.39 |-Branch two:
% 108.15/57.39 | (2946) ~ (all_0_29_29 = e1)
% 108.15/57.40 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (11125), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (4342) all_0_34_34 = e1
% 108.15/57.40 |
% 108.15/57.40 | Combining equations (601,4342) yields a new equation:
% 108.15/57.40 | (975) e4 = e1
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 975 yields:
% 108.15/57.40 | (838) e4 = e1
% 108.15/57.40 |
% 108.15/57.40 | Equations (838) can reduce 56 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (421) ~ (all_0_34_34 = e1)
% 108.15/57.40 | (1252) all_0_39_39 = e1
% 108.15/57.40 |
% 108.15/57.40 | Equations (1252) can reduce 696 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (1138) ~ (all_0_35_35 = e1)
% 108.15/57.40 | (1139) all_0_35_35 = e0
% 108.15/57.40 |
% 108.15/57.40 | Equations (1139) can reduce 536 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (1150) ~ (all_0_19_19 = e3)
% 108.15/57.40 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (198), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (1297) all_0_15_15 = e3
% 108.15/57.40 |
% 108.15/57.40 | Combining equations (1297,736) yields a new equation:
% 108.15/57.40 | (647) e3 = e0
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 647 yields:
% 108.15/57.40 | (648) e3 = e0
% 108.15/57.40 |
% 108.15/57.40 | Equations (648) can reduce 80 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (572) ~ (all_0_15_15 = e3)
% 108.15/57.40 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.15/57.40 |
% 108.15/57.40 | Equations (736) can reduce 572 to:
% 108.15/57.40 | (665) ~ (e3 = e0)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 665 yields:
% 108.15/57.40 | (80) ~ (e3 = e0)
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (332), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (1151) all_0_19_19 = e4
% 108.15/57.40 |
% 108.15/57.40 | Equations (1151) can reduce 460 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (460) ~ (all_0_19_19 = e4)
% 108.15/57.40 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (4772), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (4773) all_0_24_24 = e3
% 108.15/57.40 |
% 108.15/57.40 | Combining equations (4773,488) yields a new equation:
% 108.15/57.40 | (647) e3 = e0
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 647 yields:
% 108.15/57.40 | (648) e3 = e0
% 108.15/57.40 |
% 108.15/57.40 | Equations (648) can reduce 80 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (1379) ~ (all_0_24_24 = e3)
% 108.15/57.40 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (4777), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (3056) all_0_29_29 = e3
% 108.15/57.40 |
% 108.15/57.40 | Equations (3056) can reduce 174 to:
% 108.15/57.40 | (1150) ~ (all_0_19_19 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Equations (3056) can reduce 7 to:
% 108.15/57.40 | (577) ~ (all_0_25_25 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Equations (3056) can reduce 291 to:
% 108.15/57.40 | (10723) ~ (all_0_39_39 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 10723 yields:
% 108.15/57.40 | (571) ~ (all_0_39_39 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Equations (3056) can reduce 603 to:
% 108.15/57.40 | (558) ~ (e4 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 558 yields:
% 108.15/57.40 | (255) ~ (e4 = e3)
% 108.15/57.40 |
% 108.15/57.40 | Equations (3056) can reduce 493 to:
% 108.15/57.40 | (80) ~ (e3 = e0)
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (593), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (1698) all_0_25_25 = e3
% 108.15/57.40 |
% 108.15/57.40 | Equations (1698) can reduce 577 to:
% 108.15/57.40 | (400) $false
% 108.15/57.40 |
% 108.15/57.40 |-The branch is then unsatisfiable
% 108.15/57.40 |-Branch two:
% 108.15/57.40 | (577) ~ (all_0_25_25 = e3)
% 108.15/57.40 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (8431), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (8432) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (8432), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (8433) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6
% 108.15/57.40 |
% 108.15/57.40 | Applying alpha-rule on (8433) yields:
% 108.15/57.40 | (3041) all_0_7_7 = all_0_29_29
% 108.15/57.40 | (874) ~ (all_0_6_6 = e3)
% 108.15/57.40 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 108.15/57.40 |
% 108.15/57.40 | Combining equations (3056,3041) yields a new equation:
% 108.15/57.40 | (12829) all_0_7_7 = e3
% 108.15/57.40 |
% 108.15/57.40 +-Applying beta-rule and splitting (43), into two cases.
% 108.15/57.40 |-Branch one:
% 108.15/57.40 | (1495) all_0_25_25 = e1
% 108.15/57.40 |
% 108.15/57.40 | Equations (1495) can reduce 194 to:
% 108.15/57.40 | (3855) ~ (all_0_35_35 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 3855 yields:
% 108.15/57.40 | (1138) ~ (all_0_35_35 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Equations (1495) can reduce 505 to:
% 108.15/57.40 | (764) ~ (e4 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 764 yields:
% 108.15/57.40 | (56) ~ (e4 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Equations (1495) can reduce 473 to:
% 108.15/57.40 | (766) ~ (e2 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Simplifying 766 yields:
% 108.15/57.40 | (310) ~ (e2 = e1)
% 108.15/57.40 |
% 108.15/57.40 | Equations (1495) can reduce 1054 to:
% 108.15/57.40 | (40) ~ (e1 = e0)
% 108.15/57.40 |
% 108.15/57.40 | From (1495) and (311) follows:
% 108.15/57.41 | (12838) op(e2, e4) = e1
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (148), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (761) all_0_35_35 = e1
% 108.15/57.41 |
% 108.15/57.41 | Equations (761) can reduce 1138 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (1138) ~ (all_0_35_35 = e1)
% 108.15/57.41 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (262), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (829) all_0_19_19 = e1
% 108.15/57.41 |
% 108.15/57.41 | Equations (829) can reduce 943 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (943) ~ (all_0_19_19 = e1)
% 108.15/57.41 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (128), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (724) all_0_35_35 = e4
% 108.15/57.41 |
% 108.15/57.41 | Equations (724) can reduce 509 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (509) ~ (all_0_35_35 = e4)
% 108.15/57.41 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (944), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (8658) all_0_24_24 = e1
% 108.15/57.41 |
% 108.15/57.41 | Combining equations (8658,488) yields a new equation:
% 108.15/57.41 | (530) e1 = e0
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 530 yields:
% 108.15/57.41 | (531) e1 = e0
% 108.15/57.41 |
% 108.15/57.41 | Equations (531) can reduce 40 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (432) ~ (all_0_24_24 = e1)
% 108.15/57.41 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.15/57.41 |
% 108.15/57.41 | Equations (488) can reduce 432 to:
% 108.15/57.41 | (498) ~ (e1 = e0)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 498 yields:
% 108.15/57.41 | (40) ~ (e1 = e0)
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (727), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (728) all_0_35_35 = e3
% 108.15/57.41 |
% 108.15/57.41 | Equations (728) can reduce 210 to:
% 108.15/57.41 | (3094) ~ (all_0_38_38 = e3)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 3094 yields:
% 108.15/57.41 | (3095) ~ (all_0_38_38 = e3)
% 108.15/57.41 |
% 108.15/57.41 | Equations (728) can reduce 719 to:
% 108.15/57.41 | (52) ~ (e3 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Equations (728) can reduce 1138 to:
% 108.15/57.41 | (298) ~ (e3 = e1)
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (333), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1846) all_0_38_38 = e4
% 108.15/57.41 |
% 108.15/57.41 | Equations (1846) can reduce 1835 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (1835) ~ (all_0_38_38 = e4)
% 108.15/57.41 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (8663), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (4599) all_0_29_29 = e1
% 108.15/57.41 |
% 108.15/57.41 | Combining equations (3056,4599) yields a new equation:
% 108.15/57.41 | (1113) e3 = e1
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 1113 yields:
% 108.15/57.41 | (928) e3 = e1
% 108.15/57.41 |
% 108.15/57.41 | Equations (928) can reduce 298 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (2946) ~ (all_0_29_29 = e1)
% 108.15/57.41 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (102), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1147) all_0_18_18 = e3
% 108.15/57.41 |
% 108.15/57.41 | Equations (1147) can reduce 38 to:
% 108.15/57.41 | (3094) ~ (all_0_38_38 = e3)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 3094 yields:
% 108.15/57.41 | (3095) ~ (all_0_38_38 = e3)
% 108.15/57.41 |
% 108.15/57.41 | Equations (1147) can reduce 1141 to:
% 108.15/57.41 | (80) ~ (e3 = e0)
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (54), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1191) all_0_18_18 = e2
% 108.15/57.41 |
% 108.15/57.41 | Combining equations (1191,1147) yields a new equation:
% 108.15/57.41 | (615) e3 = e2
% 108.15/57.41 |
% 108.15/57.41 | Equations (615) can reduce 52 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (638) ~ (all_0_18_18 = e2)
% 108.15/57.41 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (3213), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (3208) all_0_38_38 = e3
% 108.15/57.41 |
% 108.15/57.41 | Equations (3208) can reduce 3095 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (3095) ~ (all_0_38_38 = e3)
% 108.15/57.41 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (3929), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (6267) all_0_23_23 = e2
% 108.15/57.41 |
% 108.15/57.41 | Combining equations (6267,427) yields a new equation:
% 108.15/57.41 | (620) e2 = e1
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 620 yields:
% 108.15/57.41 | (621) e2 = e1
% 108.15/57.41 |
% 108.15/57.41 | Equations (621) can reduce 310 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (6271) ~ (all_0_23_23 = e2)
% 108.15/57.41 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (3217), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (3218) all_0_38_38 = e2
% 108.15/57.41 |
% 108.15/57.41 | Equations (3218) can reduce 231 to:
% 108.15/57.41 | (2579) ~ (all_0_39_39 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 2579 yields:
% 108.15/57.41 | (1250) ~ (all_0_39_39 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Equations (3218) can reduce 1835 to:
% 108.15/57.41 | (482) ~ (e4 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 482 yields:
% 108.15/57.41 | (21) ~ (e4 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Equations (3218) can reduce 3095 to:
% 108.15/57.41 | (643) ~ (e3 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Simplifying 643 yields:
% 108.15/57.41 | (52) ~ (e3 = e2)
% 108.15/57.41 |
% 108.15/57.41 | Equations (3218) can reduce 540 to:
% 108.15/57.41 | (336) ~ (e2 = e0)
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (300), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (697) all_0_39_39 = e4
% 108.15/57.41 |
% 108.15/57.41 | Equations (697) can reduce 607 to:
% 108.15/57.41 | (400) $false
% 108.15/57.41 |
% 108.15/57.41 |-The branch is then unsatisfiable
% 108.15/57.41 |-Branch two:
% 108.15/57.41 | (607) ~ (all_0_39_39 = e4)
% 108.15/57.41 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (251), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1278), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1279), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1280), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1281), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1282), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.15/57.41 |
% 108.15/57.41 +-Applying beta-rule and splitting (1283), into two cases.
% 108.15/57.41 |-Branch one:
% 108.15/57.41 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1284), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1285), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1286), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1287), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1288), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1289), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1290), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1291), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1292), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1293), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1294), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.15/57.42 |
% 108.15/57.42 +-Applying beta-rule and splitting (1295), into two cases.
% 108.15/57.42 |-Branch one:
% 108.15/57.42 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1296) yields:
% 108.15/57.42 | (1297) all_0_15_15 = e3
% 108.15/57.42 | (550) all_0_21_21 = e4
% 108.15/57.42 | (1299) ~ (all_0_16_16 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1297,736) yields a new equation:
% 108.15/57.42 | (647) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 647 yields:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (648) can reduce 80 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1303) yields:
% 108.15/57.42 | (1297) all_0_15_15 = e3
% 108.15/57.42 | (550) all_0_21_21 = e4
% 108.15/57.42 | (1306) ~ (all_0_20_20 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1297,736) yields a new equation:
% 108.15/57.42 | (647) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 647 yields:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (648) can reduce 80 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1310) yields:
% 108.15/57.42 | (711) all_0_15_15 = e2
% 108.15/57.42 | (804) all_0_27_27 = e4
% 108.15/57.42 | (456) ~ (all_0_17_17 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (711,736) yields a new equation:
% 108.15/57.42 | (524) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 524 yields:
% 108.15/57.42 | (525) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (525) can reduce 336 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1315) yields:
% 108.15/57.42 | (711) all_0_15_15 = e2
% 108.15/57.42 | (804) all_0_27_27 = e4
% 108.15/57.42 | (473) ~ (all_0_25_25 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (711,736) yields a new equation:
% 108.15/57.42 | (524) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 524 yields:
% 108.15/57.42 | (525) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (525) can reduce 336 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1320) yields:
% 108.15/57.42 | (969) all_0_15_15 = e1
% 108.15/57.42 | (1322) all_0_33_33 = e4
% 108.15/57.42 | (458) ~ (all_0_18_18 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (969,736) yields a new equation:
% 108.15/57.42 | (530) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 530 yields:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1326) yields:
% 108.15/57.42 | (969) all_0_15_15 = e1
% 108.15/57.42 | (1322) all_0_33_33 = e4
% 108.15/57.42 | (417) ~ (all_0_30_30 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (969,736) yields a new equation:
% 108.15/57.42 | (530) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 530 yields:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1332) yields:
% 108.15/57.42 | (736) all_0_15_15 = e0
% 108.15/57.42 | (697) all_0_39_39 = e4
% 108.15/57.42 | (460) ~ (all_0_19_19 = e4)
% 108.15/57.42 |
% 108.15/57.42 | Equations (697) can reduce 607 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1339) yields:
% 108.15/57.42 | (736) all_0_15_15 = e0
% 108.15/57.42 | (697) all_0_39_39 = e4
% 108.15/57.42 | (536) ~ (all_0_35_35 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Equations (697) can reduce 607 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1346) yields:
% 108.15/57.42 | (1347) all_0_21_21 = e2
% 108.15/57.42 | (808) all_0_27_27 = e3
% 108.15/57.42 | (925) ~ (all_0_22_22 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1347,557) yields a new equation:
% 108.15/57.42 | (615) e3 = e2
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (995,808) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (648,615) yields a new equation:
% 108.15/57.42 | (525) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (525) can reduce 336 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1352) yields:
% 108.15/57.42 | (1347) all_0_21_21 = e2
% 108.15/57.42 | (808) all_0_27_27 = e3
% 108.15/57.42 | (1355) ~ (all_0_26_26 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1347,557) yields a new equation:
% 108.15/57.42 | (615) e3 = e2
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (995,808) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (648,615) yields a new equation:
% 108.15/57.42 | (525) e2 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (525) can reduce 336 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1358) yields:
% 108.15/57.42 | (1359) all_0_21_21 = e1
% 108.15/57.42 | (1360) all_0_33_33 = e3
% 108.15/57.42 | (1361) ~ (all_0_23_23 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1359,557) yields a new equation:
% 108.15/57.42 | (928) e3 = e1
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1463,1360) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (928,648) yields a new equation:
% 108.15/57.42 | (530) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 530 yields:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1367) yields:
% 108.15/57.42 | (1359) all_0_21_21 = e1
% 108.15/57.42 | (1360) all_0_33_33 = e3
% 108.15/57.42 | (1370) ~ (all_0_31_31 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1359,557) yields a new equation:
% 108.15/57.42 | (928) e3 = e1
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (1463,1360) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (928,648) yields a new equation:
% 108.15/57.42 | (530) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Simplifying 530 yields:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1376) yields:
% 108.15/57.42 | (519) all_0_21_21 = e0
% 108.15/57.42 | (701) all_0_39_39 = e3
% 108.15/57.42 | (1379) ~ (all_0_24_24 = e3)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (519,557) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (648) can reduce 80 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1385) yields:
% 108.15/57.42 | (519) all_0_21_21 = e0
% 108.15/57.42 | (701) all_0_39_39 = e3
% 108.15/57.42 | (1388) ~ (all_0_36_36 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (519,557) yields a new equation:
% 108.15/57.42 | (648) e3 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (648) can reduce 80 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1394) yields:
% 108.15/57.42 | (816) all_0_27_27 = e1
% 108.15/57.42 | (637) all_0_33_33 = e2
% 108.15/57.42 | (477) ~ (all_0_28_28 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (995,816) yields a new equation:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1421) yields:
% 108.15/57.42 | (816) all_0_27_27 = e1
% 108.15/57.42 | (637) all_0_33_33 = e2
% 108.15/57.42 | (419) ~ (all_0_32_32 = e1)
% 108.15/57.42 |
% 108.15/57.42 | Combining equations (995,816) yields a new equation:
% 108.15/57.42 | (531) e1 = e0
% 108.15/57.42 |
% 108.15/57.42 | Equations (531) can reduce 40 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1448) yields:
% 108.15/57.42 | (995) all_0_27_27 = e0
% 108.15/57.42 | (705) all_0_39_39 = e2
% 108.15/57.42 | (479) ~ (all_0_29_29 = e2)
% 108.15/57.42 |
% 108.15/57.42 | Equations (705) can reduce 1250 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.42 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Applying alpha-rule on (1455) yields:
% 108.15/57.42 | (995) all_0_27_27 = e0
% 108.15/57.42 | (705) all_0_39_39 = e2
% 108.15/57.42 | (538) ~ (all_0_37_37 = e0)
% 108.15/57.42 |
% 108.15/57.42 | Equations (705) can reduce 1250 to:
% 108.15/57.42 | (400) $false
% 108.15/57.42 |
% 108.15/57.42 |-The branch is then unsatisfiable
% 108.15/57.42 |-Branch two:
% 108.15/57.43 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.15/57.43 |
% 108.15/57.43 | Applying alpha-rule on (1462) yields:
% 108.15/57.43 | (1463) all_0_33_33 = e0
% 108.15/57.43 | (1252) all_0_39_39 = e1
% 108.15/57.43 | (421) ~ (all_0_34_34 = e1)
% 108.15/57.43 |
% 108.15/57.43 | Equations (1252) can reduce 1250 to:
% 108.15/57.43 | (766) ~ (e2 = e1)
% 108.15/57.43 |
% 108.15/57.43 | Simplifying 766 yields:
% 108.15/57.43 | (310) ~ (e2 = e1)
% 108.15/57.43 |
% 108.15/57.43 +-Applying beta-rule and splitting (160), into two cases.
% 108.15/57.43 |-Branch one:
% 108.15/57.43 | (711) all_0_15_15 = e2
% 108.15/57.43 |
% 108.15/57.43 | Combining equations (711,736) yields a new equation:
% 108.15/57.43 | (524) e2 = e0
% 108.15/57.43 |
% 108.15/57.43 | Simplifying 524 yields:
% 108.15/57.43 | (525) e2 = e0
% 108.15/57.43 |
% 108.15/57.43 | Equations (525) can reduce 336 to:
% 108.15/57.43 | (400) $false
% 108.15/57.43 |
% 108.15/57.43 |-The branch is then unsatisfiable
% 108.15/57.43 |-Branch two:
% 108.15/57.43 | (769) ~ (all_0_15_15 = e2)
% 108.15/57.43 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.15/57.43 |
% 108.15/57.43 | Equations (736) can reduce 769 to:
% 108.15/57.43 | (496) ~ (e2 = e0)
% 108.15/57.43 |
% 108.15/57.43 | Simplifying 496 yields:
% 108.15/57.43 | (336) ~ (e2 = e0)
% 108.15/57.43 |
% 108.15/57.43 +-Applying beta-rule and splitting (8388), into two cases.
% 108.15/57.43 |-Branch one:
% 108.15/57.43 | (8389) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 108.15/57.43 |
% 108.15/57.43 +-Applying beta-rule and splitting (8389), into two cases.
% 108.15/57.43 |-Branch one:
% 108.15/57.43 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 108.15/57.43 |
% 108.15/57.43 | Applying alpha-rule on (3040) yields:
% 108.15/57.43 | (3041) all_0_7_7 = all_0_29_29
% 108.15/57.43 | (3042) ~ (all_0_6_6 = e1)
% 108.15/57.43 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 108.15/57.43 |
% 108.15/57.43 | Combining equations (3041,12829) yields a new equation:
% 108.15/57.43 | (13062) all_0_29_29 = e3
% 108.15/57.43 |
% 108.23/57.43 | Simplifying 13062 yields:
% 108.23/57.43 | (3056) all_0_29_29 = e3
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (168), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (1163) all_0_19_19 = e2
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (324), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (739) ~ (all_0_15_15 = e0)
% 108.23/57.43 |
% 108.23/57.43 | Equations (736) can reduce 739 to:
% 108.23/57.43 | (400) $false
% 108.23/57.43 |
% 108.23/57.43 |-The branch is then unsatisfiable
% 108.23/57.43 |-Branch two:
% 108.23/57.43 | (736) all_0_15_15 = e0
% 108.23/57.43 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (11400), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (11401) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (11401), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (11402) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.43 |
% 108.23/57.43 | Applying alpha-rule on (11402) yields:
% 108.23/57.43 | (3542) all_0_13_13 = all_0_19_19
% 108.23/57.43 | (1785) ~ (all_0_12_12 = e2)
% 108.23/57.43 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.43 |
% 108.23/57.43 | Combining equations (1163,3542) yields a new equation:
% 108.23/57.43 | (3903) all_0_13_13 = e2
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (2739), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.23/57.43 |
% 108.23/57.43 +-Applying beta-rule and splitting (13075), into two cases.
% 108.23/57.43 |-Branch one:
% 108.23/57.43 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.43 |
% 108.23/57.43 | Applying alpha-rule on (13076) yields:
% 108.23/57.43 | (3542) all_0_13_13 = all_0_19_19
% 108.23/57.43 | (1033) ~ (all_0_12_12 = e1)
% 108.23/57.43 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.43 |
% 108.23/57.43 | Combining equations (3542,3903) yields a new equation:
% 108.23/57.43 | (13080) all_0_19_19 = e2
% 108.23/57.43 |
% 108.23/57.43 | Simplifying 13080 yields:
% 108.23/57.43 | (1163) all_0_19_19 = e2
% 108.23/57.43 |
% 108.23/57.43 | From (1163) and (3544) follows:
% 108.23/57.43 | (3915) op(e2, e4) = all_0_12_12
% 108.23/57.43 |
% 108.23/57.43 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.23/57.44 | (13083) all_0_12_12 = e1
% 108.23/57.44 |
% 108.23/57.44 | Equations (13083) can reduce 1033 to:
% 108.23/57.44 | (400) $false
% 108.23/57.44 |
% 108.23/57.44 |-The branch is then unsatisfiable
% 108.23/57.44 |-Branch two:
% 108.23/57.44 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.23/57.44 |
% 108.23/57.44 | Applying alpha-rule on (11714) yields:
% 108.23/57.44 | (3542) all_0_13_13 = all_0_19_19
% 108.23/57.44 | (706) ~ (all_0_19_19 = e2)
% 108.23/57.44 |
% 108.23/57.44 | Combining equations (3542,3903) yields a new equation:
% 108.23/57.44 | (13080) all_0_19_19 = e2
% 108.23/57.44 |
% 108.23/57.44 | Simplifying 13080 yields:
% 108.23/57.44 | (1163) all_0_19_19 = e2
% 108.23/57.44 |
% 108.23/57.44 | Equations (1163) can reduce 706 to:
% 108.23/57.44 | (400) $false
% 108.23/57.44 |
% 108.23/57.44 |-The branch is then unsatisfiable
% 108.23/57.44 |-Branch two:
% 108.23/57.44 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.23/57.44 |
% 108.23/57.44 | Applying alpha-rule on (11413) yields:
% 108.23/57.44 | (3553) all_0_14_14 = all_0_35_35
% 108.23/57.44 | (585) ~ (all_0_35_35 = e3)
% 108.23/57.44 |
% 108.23/57.44 | Equations (728) can reduce 585 to:
% 108.23/57.44 | (400) $false
% 108.23/57.44 |
% 108.23/57.44 |-The branch is then unsatisfiable
% 108.23/57.44 |-Branch two:
% 108.23/57.44 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 108.23/57.44 |
% 108.23/57.44 | Applying alpha-rule on (3548) yields:
% 108.23/57.44 | (3542) all_0_13_13 = all_0_19_19
% 108.23/57.44 | (943) ~ (all_0_19_19 = e1)
% 108.23/57.44 |
% 108.23/57.44 | Combining equations (1163,3542) yields a new equation:
% 108.23/57.44 | (3903) all_0_13_13 = e2
% 108.23/57.44 |
% 108.23/57.44 +-Applying beta-rule and splitting (2739), into two cases.
% 108.23/57.44 |-Branch one:
% 108.23/57.44 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.23/57.44 |
% 108.23/57.44 +-Applying beta-rule and splitting (13075), into two cases.
% 108.23/57.44 |-Branch one:
% 108.23/57.44 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.44 |
% 108.23/57.44 | Applying alpha-rule on (13076) yields:
% 108.23/57.44 | (3542) all_0_13_13 = all_0_19_19
% 108.23/57.44 | (1033) ~ (all_0_12_12 = e1)
% 108.23/57.44 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.23/57.44 |
% 108.23/57.44 | Combining equations (3542,3903) yields a new equation:
% 108.23/57.44 | (13080) all_0_19_19 = e2
% 108.23/57.44 |
% 108.24/57.44 | Simplifying 13080 yields:
% 108.24/57.44 | (1163) all_0_19_19 = e2
% 108.24/57.44 |
% 108.24/57.44 | From (1163) and (3544) follows:
% 108.24/57.44 | (3915) op(e2, e4) = all_0_12_12
% 108.24/57.44 |
% 108.24/57.44 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.24/57.44 | (13083) all_0_12_12 = e1
% 108.24/57.44 |
% 108.24/57.44 | Equations (13083) can reduce 1033 to:
% 108.24/57.44 | (400) $false
% 108.24/57.44 |
% 108.24/57.44 |-The branch is then unsatisfiable
% 108.24/57.44 |-Branch two:
% 108.24/57.44 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.24/57.44 |
% 108.24/57.44 | Applying alpha-rule on (11714) yields:
% 108.24/57.44 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.44 | (706) ~ (all_0_19_19 = e2)
% 108.24/57.44 |
% 108.24/57.44 | Combining equations (3542,3903) yields a new equation:
% 108.24/57.45 | (13080) all_0_19_19 = e2
% 108.24/57.45 |
% 108.24/57.45 | Simplifying 13080 yields:
% 108.24/57.45 | (1163) all_0_19_19 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (1163) can reduce 706 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Applying alpha-rule on (11413) yields:
% 108.24/57.45 | (3553) all_0_14_14 = all_0_35_35
% 108.24/57.45 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Equations (728) can reduce 585 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Applying alpha-rule on (11413) yields:
% 108.24/57.45 | (3553) all_0_14_14 = all_0_35_35
% 108.24/57.45 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Equations (728) can reduce 585 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (706) ~ (all_0_19_19 = e2)
% 108.24/57.45 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.45 |
% 108.24/57.45 +-Applying beta-rule and splitting (7045), into two cases.
% 108.24/57.45 |-Branch one:
% 108.24/57.45 | (7046) all_0_24_24 = e2
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (7046,488) yields a new equation:
% 108.24/57.45 | (524) e2 = e0
% 108.24/57.45 |
% 108.24/57.45 | Simplifying 524 yields:
% 108.24/57.45 | (525) e2 = e0
% 108.24/57.45 |
% 108.24/57.45 | Equations (525) can reduce 336 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (446) ~ (all_0_24_24 = e2)
% 108.24/57.45 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.45 |
% 108.24/57.45 +-Applying beta-rule and splitting (1235), into two cases.
% 108.24/57.45 |-Branch one:
% 108.24/57.45 | (1236) all_0_16_16 = e2
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (1236,454) yields a new equation:
% 108.24/57.45 | (798) e4 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (798) can reduce 21 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (1239) ~ (all_0_16_16 = e2)
% 108.24/57.45 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.24/57.45 |
% 108.24/57.45 +-Applying beta-rule and splitting (1240), into two cases.
% 108.24/57.45 |-Branch one:
% 108.24/57.45 | (1177) all_0_17_17 = e2
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (1177,980) yields a new equation:
% 108.24/57.45 | (620) e2 = e1
% 108.24/57.45 |
% 108.24/57.45 | Simplifying 620 yields:
% 108.24/57.45 | (621) e2 = e1
% 108.24/57.45 |
% 108.24/57.45 | Equations (621) can reduce 310 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (396) ~ (all_0_17_17 = e2)
% 108.24/57.45 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.24/57.45 |
% 108.24/57.45 +-Applying beta-rule and splitting (7050), into two cases.
% 108.24/57.45 |-Branch one:
% 108.24/57.45 | (5199) all_0_29_29 = e2
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (3056,5199) yields a new equation:
% 108.24/57.45 | (614) e3 = e2
% 108.24/57.45 |
% 108.24/57.45 | Simplifying 614 yields:
% 108.24/57.45 | (615) e3 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (615) can reduce 52 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (479) ~ (all_0_29_29 = e2)
% 108.24/57.45 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (3056) can reduce 479 to:
% 108.24/57.45 | (52) ~ (e3 = e2)
% 108.24/57.45 |
% 108.24/57.45 +-Applying beta-rule and splitting (1244), into two cases.
% 108.24/57.45 |-Branch one:
% 108.24/57.45 | (1191) all_0_18_18 = e2
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (1191,1147) yields a new equation:
% 108.24/57.45 | (615) e3 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (615) can reduce 52 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (638) ~ (all_0_18_18 = e2)
% 108.24/57.45 | (1163) all_0_19_19 = e2
% 108.24/57.45 |
% 108.24/57.45 | Equations (1163) can reduce 706 to:
% 108.24/57.45 | (400) $false
% 108.24/57.45 |
% 108.24/57.45 |-The branch is then unsatisfiable
% 108.24/57.45 |-Branch two:
% 108.24/57.45 | (8507) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Applying alpha-rule on (8507) yields:
% 108.24/57.45 | (3041) all_0_7_7 = all_0_29_29
% 108.24/57.45 | (3115) ~ (all_0_29_29 = e3)
% 108.24/57.45 |
% 108.24/57.45 | Combining equations (3041,12829) yields a new equation:
% 108.24/57.45 | (13062) all_0_29_29 = e3
% 108.24/57.45 |
% 108.24/57.46 | Simplifying 13062 yields:
% 108.24/57.46 | (3056) all_0_29_29 = e3
% 108.24/57.46 |
% 108.24/57.46 | Equations (3056) can reduce 3115 to:
% 108.24/57.46 | (400) $false
% 108.24/57.46 |
% 108.24/57.46 |-The branch is then unsatisfiable
% 108.24/57.46 |-Branch two:
% 108.24/57.46 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.24/57.46 |
% 108.24/57.46 | Applying alpha-rule on (8464) yields:
% 108.24/57.46 | (3052) all_0_8_8 = all_0_37_37
% 108.24/57.46 | (1002) ~ (all_0_37_37 = e4)
% 108.24/57.46 |
% 108.24/57.46 | Equations (847) can reduce 1002 to:
% 108.24/57.46 | (400) $false
% 108.24/57.46 |
% 108.24/57.46 |-The branch is then unsatisfiable
% 108.24/57.46 |-Branch two:
% 108.24/57.46 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.24/57.46 |
% 108.24/57.46 | Applying alpha-rule on (1469) yields:
% 108.24/57.46 | (1463) all_0_33_33 = e0
% 108.24/57.46 | (1252) all_0_39_39 = e1
% 108.24/57.46 | (540) ~ (all_0_38_38 = e0)
% 108.24/57.46 |
% 108.24/57.46 | Equations (3218) can reduce 540 to:
% 108.24/57.46 | (336) ~ (e2 = e0)
% 108.24/57.46 |
% 108.24/57.46 | Equations (1252) can reduce 1250 to:
% 108.24/57.46 | (766) ~ (e2 = e1)
% 108.24/57.46 |
% 108.24/57.46 | Simplifying 766 yields:
% 108.24/57.46 | (310) ~ (e2 = e1)
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (160), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (711) all_0_15_15 = e2
% 108.24/57.46 |
% 108.24/57.46 | Combining equations (711,736) yields a new equation:
% 108.24/57.46 | (524) e2 = e0
% 108.24/57.46 |
% 108.24/57.46 | Simplifying 524 yields:
% 108.24/57.46 | (525) e2 = e0
% 108.24/57.46 |
% 108.24/57.46 | Equations (525) can reduce 336 to:
% 108.24/57.46 | (400) $false
% 108.24/57.46 |
% 108.24/57.46 |-The branch is then unsatisfiable
% 108.24/57.46 |-Branch two:
% 108.24/57.46 | (769) ~ (all_0_15_15 = e2)
% 108.24/57.46 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.24/57.46 |
% 108.24/57.46 | Equations (736) can reduce 769 to:
% 108.24/57.46 | (496) ~ (e2 = e0)
% 108.24/57.46 |
% 108.24/57.46 | Simplifying 496 yields:
% 108.24/57.46 | (336) ~ (e2 = e0)
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (8388), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (8389) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (8389), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 108.24/57.46 |
% 108.24/57.46 | Applying alpha-rule on (3040) yields:
% 108.24/57.46 | (3041) all_0_7_7 = all_0_29_29
% 108.24/57.46 | (3042) ~ (all_0_6_6 = e1)
% 108.24/57.46 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 108.24/57.46 |
% 108.24/57.46 | Combining equations (3041,12829) yields a new equation:
% 108.24/57.46 | (13062) all_0_29_29 = e3
% 108.24/57.46 |
% 108.24/57.46 | Simplifying 13062 yields:
% 108.24/57.46 | (3056) all_0_29_29 = e3
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (168), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (1163) all_0_19_19 = e2
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (324), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (739) ~ (all_0_15_15 = e0)
% 108.24/57.46 |
% 108.24/57.46 | Equations (736) can reduce 739 to:
% 108.24/57.46 | (400) $false
% 108.24/57.46 |
% 108.24/57.46 |-The branch is then unsatisfiable
% 108.24/57.46 |-Branch two:
% 108.24/57.46 | (736) all_0_15_15 = e0
% 108.24/57.46 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (11400), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (11401) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (11401), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (11402) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.46 |
% 108.24/57.46 | Applying alpha-rule on (11402) yields:
% 108.24/57.46 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.46 | (1785) ~ (all_0_12_12 = e2)
% 108.24/57.46 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.46 |
% 108.24/57.46 | Combining equations (1163,3542) yields a new equation:
% 108.24/57.46 | (3903) all_0_13_13 = e2
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (2739), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.24/57.46 |
% 108.24/57.46 +-Applying beta-rule and splitting (13075), into two cases.
% 108.24/57.46 |-Branch one:
% 108.24/57.46 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.46 |
% 108.24/57.46 | Applying alpha-rule on (13076) yields:
% 108.24/57.46 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.46 | (1033) ~ (all_0_12_12 = e1)
% 108.24/57.46 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.46 |
% 108.24/57.46 | Combining equations (3542,3903) yields a new equation:
% 108.24/57.46 | (13080) all_0_19_19 = e2
% 108.24/57.46 |
% 108.24/57.46 | Simplifying 13080 yields:
% 108.24/57.46 | (1163) all_0_19_19 = e2
% 108.24/57.47 |
% 108.24/57.47 | From (1163) and (3544) follows:
% 108.24/57.47 | (3915) op(e2, e4) = all_0_12_12
% 108.24/57.47 |
% 108.24/57.47 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.24/57.47 | (13083) all_0_12_12 = e1
% 108.24/57.47 |
% 108.24/57.47 | Equations (13083) can reduce 1033 to:
% 108.24/57.47 | (400) $false
% 108.24/57.47 |
% 108.24/57.47 |-The branch is then unsatisfiable
% 108.24/57.47 |-Branch two:
% 108.24/57.47 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.24/57.47 |
% 108.24/57.47 | Applying alpha-rule on (11714) yields:
% 108.24/57.47 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.47 | (706) ~ (all_0_19_19 = e2)
% 108.24/57.47 |
% 108.24/57.47 | Combining equations (3542,3903) yields a new equation:
% 108.24/57.47 | (13080) all_0_19_19 = e2
% 108.24/57.47 |
% 108.24/57.47 | Simplifying 13080 yields:
% 108.24/57.47 | (1163) all_0_19_19 = e2
% 108.24/57.47 |
% 108.24/57.47 | Equations (1163) can reduce 706 to:
% 108.24/57.47 | (400) $false
% 108.24/57.47 |
% 108.24/57.47 |-The branch is then unsatisfiable
% 108.24/57.47 |-Branch two:
% 108.24/57.47 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.24/57.47 |
% 108.24/57.47 | Applying alpha-rule on (11413) yields:
% 108.24/57.47 | (3553) all_0_14_14 = all_0_35_35
% 108.24/57.47 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.47 |
% 108.24/57.47 | Equations (728) can reduce 585 to:
% 108.24/57.47 | (400) $false
% 108.24/57.47 |
% 108.24/57.47 |-The branch is then unsatisfiable
% 108.24/57.47 |-Branch two:
% 108.24/57.47 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 108.24/57.47 |
% 108.24/57.47 | Applying alpha-rule on (3548) yields:
% 108.24/57.47 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.47 | (943) ~ (all_0_19_19 = e1)
% 108.24/57.47 |
% 108.24/57.47 | Combining equations (1163,3542) yields a new equation:
% 108.24/57.47 | (3903) all_0_13_13 = e2
% 108.24/57.47 |
% 108.24/57.47 +-Applying beta-rule and splitting (2739), into two cases.
% 108.24/57.47 |-Branch one:
% 108.24/57.47 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.24/57.47 |
% 108.24/57.47 +-Applying beta-rule and splitting (13075), into two cases.
% 108.24/57.47 |-Branch one:
% 108.24/57.47 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.47 |
% 108.24/57.47 | Applying alpha-rule on (13076) yields:
% 108.24/57.47 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.47 | (1033) ~ (all_0_12_12 = e1)
% 108.24/57.47 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.24/57.47 |
% 108.24/57.47 | Combining equations (3542,3903) yields a new equation:
% 108.24/57.47 | (13080) all_0_19_19 = e2
% 108.24/57.47 |
% 108.24/57.47 | Simplifying 13080 yields:
% 108.24/57.47 | (1163) all_0_19_19 = e2
% 108.24/57.47 |
% 108.24/57.47 | From (1163) and (3544) follows:
% 108.24/57.47 | (3915) op(e2, e4) = all_0_12_12
% 108.24/57.47 |
% 108.24/57.47 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.24/57.47 | (13083) all_0_12_12 = e1
% 108.24/57.47 |
% 108.24/57.47 | Equations (13083) can reduce 1033 to:
% 108.24/57.47 | (400) $false
% 108.24/57.47 |
% 108.24/57.47 |-The branch is then unsatisfiable
% 108.24/57.47 |-Branch two:
% 108.24/57.47 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.24/57.47 |
% 108.24/57.47 | Applying alpha-rule on (11714) yields:
% 108.24/57.47 | (3542) all_0_13_13 = all_0_19_19
% 108.24/57.47 | (706) ~ (all_0_19_19 = e2)
% 108.24/57.47 |
% 108.24/57.48 | Combining equations (3542,3903) yields a new equation:
% 108.24/57.48 | (13080) all_0_19_19 = e2
% 108.24/57.48 |
% 108.24/57.48 | Simplifying 13080 yields:
% 108.24/57.48 | (1163) all_0_19_19 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (1163) can reduce 706 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Applying alpha-rule on (11413) yields:
% 108.24/57.48 | (3553) all_0_14_14 = all_0_35_35
% 108.24/57.48 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Equations (728) can reduce 585 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Applying alpha-rule on (11413) yields:
% 108.24/57.48 | (3553) all_0_14_14 = all_0_35_35
% 108.24/57.48 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Equations (728) can reduce 585 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (706) ~ (all_0_19_19 = e2)
% 108.24/57.48 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.48 |
% 108.24/57.48 +-Applying beta-rule and splitting (7045), into two cases.
% 108.24/57.48 |-Branch one:
% 108.24/57.48 | (7046) all_0_24_24 = e2
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (7046,488) yields a new equation:
% 108.24/57.48 | (524) e2 = e0
% 108.24/57.48 |
% 108.24/57.48 | Simplifying 524 yields:
% 108.24/57.48 | (525) e2 = e0
% 108.24/57.48 |
% 108.24/57.48 | Equations (525) can reduce 336 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (446) ~ (all_0_24_24 = e2)
% 108.24/57.48 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.48 |
% 108.24/57.48 +-Applying beta-rule and splitting (1235), into two cases.
% 108.24/57.48 |-Branch one:
% 108.24/57.48 | (1236) all_0_16_16 = e2
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (1236,454) yields a new equation:
% 108.24/57.48 | (798) e4 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (798) can reduce 21 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (1239) ~ (all_0_16_16 = e2)
% 108.24/57.48 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.24/57.48 |
% 108.24/57.48 +-Applying beta-rule and splitting (1240), into two cases.
% 108.24/57.48 |-Branch one:
% 108.24/57.48 | (1177) all_0_17_17 = e2
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (1177,980) yields a new equation:
% 108.24/57.48 | (620) e2 = e1
% 108.24/57.48 |
% 108.24/57.48 | Simplifying 620 yields:
% 108.24/57.48 | (621) e2 = e1
% 108.24/57.48 |
% 108.24/57.48 | Equations (621) can reduce 310 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (396) ~ (all_0_17_17 = e2)
% 108.24/57.48 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.24/57.48 |
% 108.24/57.48 +-Applying beta-rule and splitting (7050), into two cases.
% 108.24/57.48 |-Branch one:
% 108.24/57.48 | (5199) all_0_29_29 = e2
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (3056,5199) yields a new equation:
% 108.24/57.48 | (614) e3 = e2
% 108.24/57.48 |
% 108.24/57.48 | Simplifying 614 yields:
% 108.24/57.48 | (615) e3 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (615) can reduce 52 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (479) ~ (all_0_29_29 = e2)
% 108.24/57.48 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (3056) can reduce 479 to:
% 108.24/57.48 | (52) ~ (e3 = e2)
% 108.24/57.48 |
% 108.24/57.48 +-Applying beta-rule and splitting (1244), into two cases.
% 108.24/57.48 |-Branch one:
% 108.24/57.48 | (1191) all_0_18_18 = e2
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (1191,1147) yields a new equation:
% 108.24/57.48 | (615) e3 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (615) can reduce 52 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (638) ~ (all_0_18_18 = e2)
% 108.24/57.48 | (1163) all_0_19_19 = e2
% 108.24/57.48 |
% 108.24/57.48 | Equations (1163) can reduce 706 to:
% 108.24/57.48 | (400) $false
% 108.24/57.48 |
% 108.24/57.48 |-The branch is then unsatisfiable
% 108.24/57.48 |-Branch two:
% 108.24/57.48 | (8507) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Applying alpha-rule on (8507) yields:
% 108.24/57.48 | (3041) all_0_7_7 = all_0_29_29
% 108.24/57.48 | (3115) ~ (all_0_29_29 = e3)
% 108.24/57.48 |
% 108.24/57.48 | Combining equations (3041,12829) yields a new equation:
% 108.24/57.48 | (13062) all_0_29_29 = e3
% 108.24/57.48 |
% 108.24/57.49 | Simplifying 13062 yields:
% 108.24/57.49 | (3056) all_0_29_29 = e3
% 108.24/57.49 |
% 108.24/57.49 | Equations (3056) can reduce 3115 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.24/57.49 |
% 108.24/57.49 | Applying alpha-rule on (8464) yields:
% 108.24/57.49 | (3052) all_0_8_8 = all_0_37_37
% 108.24/57.49 | (1002) ~ (all_0_37_37 = e4)
% 108.24/57.49 |
% 108.24/57.49 | Equations (847) can reduce 1002 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (2728) ~ (all_0_38_38 = e2)
% 108.24/57.49 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (6272), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (1118) all_0_28_28 = e2
% 108.24/57.49 |
% 108.24/57.49 | Combining equations (854,1118) yields a new equation:
% 108.24/57.49 | (1531) e4 = e2
% 108.24/57.49 |
% 108.24/57.49 | Simplifying 1531 yields:
% 108.24/57.49 | (798) e4 = e2
% 108.24/57.49 |
% 108.24/57.49 | Equations (798) can reduce 21 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (477) ~ (all_0_28_28 = e2)
% 108.24/57.49 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (6293), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (637) all_0_33_33 = e2
% 108.24/57.49 |
% 108.24/57.49 | Combining equations (1463,637) yields a new equation:
% 108.24/57.49 | (525) e2 = e0
% 108.24/57.49 |
% 108.24/57.49 | Equations (525) can reduce 336 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (671) ~ (all_0_33_33 = e2)
% 108.24/57.49 | (3218) all_0_38_38 = e2
% 108.24/57.49 |
% 108.24/57.49 | Equations (3218) can reduce 2728 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (1189) ~ (all_0_18_18 = e3)
% 108.24/57.49 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (3213), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (3208) all_0_38_38 = e3
% 108.24/57.49 |
% 108.24/57.49 | Equations (3208) can reduce 3095 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (3095) ~ (all_0_38_38 = e3)
% 108.24/57.49 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (342), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (1008) all_0_18_18 = e4
% 108.24/57.49 |
% 108.24/57.49 | Equations (1008) can reduce 458 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (458) ~ (all_0_18_18 = e4)
% 108.24/57.49 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (1146), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (1147) all_0_18_18 = e3
% 108.24/57.49 |
% 108.24/57.49 | Equations (1147) can reduce 1189 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (1189) ~ (all_0_18_18 = e3)
% 108.24/57.49 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (1190), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (1191) all_0_18_18 = e2
% 108.24/57.49 |
% 108.24/57.49 | Equations (1191) can reduce 38 to:
% 108.24/57.49 | (2727) ~ (all_0_38_38 = e2)
% 108.24/57.49 |
% 108.24/57.49 | Simplifying 2727 yields:
% 108.24/57.49 | (2728) ~ (all_0_38_38 = e2)
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (3217), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (3218) all_0_38_38 = e2
% 108.24/57.49 |
% 108.24/57.49 | Equations (3218) can reduce 2728 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (2728) ~ (all_0_38_38 = e2)
% 108.24/57.49 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (11125), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (4342) all_0_34_34 = e1
% 108.24/57.49 |
% 108.24/57.49 | Combining equations (601,4342) yields a new equation:
% 108.24/57.49 | (975) e4 = e1
% 108.24/57.49 |
% 108.24/57.49 | Simplifying 975 yields:
% 108.24/57.49 | (838) e4 = e1
% 108.24/57.49 |
% 108.24/57.49 | Equations (838) can reduce 56 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (421) ~ (all_0_34_34 = e1)
% 108.24/57.49 | (1252) all_0_39_39 = e1
% 108.24/57.49 |
% 108.24/57.49 | Equations (1252) can reduce 231 to:
% 108.24/57.49 | (438) ~ (all_0_38_38 = e1)
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (3221), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (3222) all_0_38_38 = e1
% 108.24/57.49 |
% 108.24/57.49 | Equations (3222) can reduce 438 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (438) ~ (all_0_38_38 = e1)
% 108.24/57.49 | (3225) all_0_38_38 = e0
% 108.24/57.49 |
% 108.24/57.49 | Equations (3225) can reduce 540 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (638) ~ (all_0_18_18 = e2)
% 108.24/57.49 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (1194), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (984) all_0_18_18 = e1
% 108.24/57.49 |
% 108.24/57.49 | Equations (984) can reduce 428 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (428) ~ (all_0_18_18 = e1)
% 108.24/57.49 | (756) all_0_18_18 = e0
% 108.24/57.49 |
% 108.24/57.49 | Equations (756) can reduce 1141 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.49 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (1154), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (1159) all_0_19_19 = e3
% 108.24/57.49 |
% 108.24/57.49 | Equations (1159) can reduce 1150 to:
% 108.24/57.49 | (400) $false
% 108.24/57.49 |
% 108.24/57.49 |-The branch is then unsatisfiable
% 108.24/57.49 |-Branch two:
% 108.24/57.49 | (1150) ~ (all_0_19_19 = e3)
% 108.24/57.49 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.24/57.49 |
% 108.24/57.49 +-Applying beta-rule and splitting (6683), into two cases.
% 108.24/57.49 |-Branch one:
% 108.24/57.49 | (6785) all_0_20_20 = e3
% 108.24/57.49 |
% 108.24/57.50 | Combining equations (6785,500) yields a new equation:
% 108.24/57.50 | (597) e4 = e3
% 108.24/57.50 |
% 108.24/57.50 | Equations (597) can reduce 255 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1306) ~ (all_0_20_20 = e3)
% 108.24/57.50 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.24/57.50 |
% 108.24/57.50 | Equations (500) can reduce 1306 to:
% 108.24/57.50 | (255) ~ (e4 = e3)
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (254), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (728) all_0_35_35 = e3
% 108.24/57.50 |
% 108.24/57.50 | Equations (728) can reduce 585 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (585) ~ (all_0_35_35 = e3)
% 108.24/57.50 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1162), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1163) all_0_19_19 = e2
% 108.24/57.50 |
% 108.24/57.50 | Equations (1163) can reduce 94 to:
% 108.24/57.50 | (2579) ~ (all_0_39_39 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 2579 yields:
% 108.24/57.50 | (1250) ~ (all_0_39_39 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Equations (1163) can reduce 460 to:
% 108.24/57.50 | (482) ~ (e4 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 482 yields:
% 108.24/57.50 | (21) ~ (e4 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Equations (1163) can reduce 1150 to:
% 108.24/57.50 | (643) ~ (e3 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 643 yields:
% 108.24/57.50 | (52) ~ (e3 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Equations (1163) can reduce 489 to:
% 108.24/57.50 | (336) ~ (e2 = e0)
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (324), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (739) ~ (all_0_15_15 = e0)
% 108.24/57.50 |
% 108.24/57.50 | Equations (736) can reduce 739 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (736) all_0_15_15 = e0
% 108.24/57.50 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (4535), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (4536) all_0_36_36 = e3
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (534,4536) yields a new equation:
% 108.24/57.50 | (648) e3 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (648) can reduce 80 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (4540) ~ (all_0_36_36 = e3)
% 108.24/57.50 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (4541), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (936) all_0_37_37 = e3
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (936,847) yields a new equation:
% 108.24/57.50 | (597) e4 = e3
% 108.24/57.50 |
% 108.24/57.50 | Equations (597) can reduce 255 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1127) ~ (all_0_37_37 = e3)
% 108.24/57.50 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (4729), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (3208) all_0_38_38 = e3
% 108.24/57.50 |
% 108.24/57.50 | Equations (3208) can reduce 540 to:
% 108.24/57.50 | (80) ~ (e3 = e0)
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (251), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1278), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1279), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1280), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1281), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1282), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1283), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1284), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1285), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1286), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1287), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1288), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1289), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1290), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1291), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1292), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1293), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1294), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.24/57.50 |
% 108.24/57.50 +-Applying beta-rule and splitting (1295), into two cases.
% 108.24/57.50 |-Branch one:
% 108.24/57.50 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1296) yields:
% 108.24/57.50 | (1297) all_0_15_15 = e3
% 108.24/57.50 | (550) all_0_21_21 = e4
% 108.24/57.50 | (1299) ~ (all_0_16_16 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (1297,736) yields a new equation:
% 108.24/57.50 | (647) e3 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 647 yields:
% 108.24/57.50 | (648) e3 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (648) can reduce 80 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1303) yields:
% 108.24/57.50 | (1297) all_0_15_15 = e3
% 108.24/57.50 | (550) all_0_21_21 = e4
% 108.24/57.50 | (1306) ~ (all_0_20_20 = e3)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (1297,736) yields a new equation:
% 108.24/57.50 | (647) e3 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 647 yields:
% 108.24/57.50 | (648) e3 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (648) can reduce 80 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1310) yields:
% 108.24/57.50 | (711) all_0_15_15 = e2
% 108.24/57.50 | (804) all_0_27_27 = e4
% 108.24/57.50 | (456) ~ (all_0_17_17 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (711,736) yields a new equation:
% 108.24/57.50 | (524) e2 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 524 yields:
% 108.24/57.50 | (525) e2 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (525) can reduce 336 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1315) yields:
% 108.24/57.50 | (711) all_0_15_15 = e2
% 108.24/57.50 | (804) all_0_27_27 = e4
% 108.24/57.50 | (473) ~ (all_0_25_25 = e2)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (711,736) yields a new equation:
% 108.24/57.50 | (524) e2 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 524 yields:
% 108.24/57.50 | (525) e2 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (525) can reduce 336 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1320) yields:
% 108.24/57.50 | (969) all_0_15_15 = e1
% 108.24/57.50 | (1322) all_0_33_33 = e4
% 108.24/57.50 | (458) ~ (all_0_18_18 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (969,736) yields a new equation:
% 108.24/57.50 | (530) e1 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 530 yields:
% 108.24/57.50 | (531) e1 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (531) can reduce 40 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1326) yields:
% 108.24/57.50 | (969) all_0_15_15 = e1
% 108.24/57.50 | (1322) all_0_33_33 = e4
% 108.24/57.50 | (417) ~ (all_0_30_30 = e1)
% 108.24/57.50 |
% 108.24/57.50 | Combining equations (969,736) yields a new equation:
% 108.24/57.50 | (530) e1 = e0
% 108.24/57.50 |
% 108.24/57.50 | Simplifying 530 yields:
% 108.24/57.50 | (531) e1 = e0
% 108.24/57.50 |
% 108.24/57.50 | Equations (531) can reduce 40 to:
% 108.24/57.50 | (400) $false
% 108.24/57.50 |
% 108.24/57.50 |-The branch is then unsatisfiable
% 108.24/57.50 |-Branch two:
% 108.24/57.50 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.24/57.50 |
% 108.24/57.50 | Applying alpha-rule on (1332) yields:
% 108.24/57.50 | (736) all_0_15_15 = e0
% 108.24/57.50 | (697) all_0_39_39 = e4
% 108.24/57.50 | (460) ~ (all_0_19_19 = e4)
% 108.24/57.51 |
% 108.24/57.51 | Equations (697) can reduce 607 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1339) yields:
% 108.24/57.51 | (736) all_0_15_15 = e0
% 108.24/57.51 | (697) all_0_39_39 = e4
% 108.24/57.51 | (536) ~ (all_0_35_35 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Equations (697) can reduce 607 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1346) yields:
% 108.24/57.51 | (1347) all_0_21_21 = e2
% 108.24/57.51 | (808) all_0_27_27 = e3
% 108.24/57.51 | (925) ~ (all_0_22_22 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1347,557) yields a new equation:
% 108.24/57.51 | (615) e3 = e2
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (995,808) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (615,648) yields a new equation:
% 108.24/57.51 | (524) e2 = e0
% 108.24/57.51 |
% 108.24/57.51 | Simplifying 524 yields:
% 108.24/57.51 | (525) e2 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (525) can reduce 336 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1352) yields:
% 108.24/57.51 | (1347) all_0_21_21 = e2
% 108.24/57.51 | (808) all_0_27_27 = e3
% 108.24/57.51 | (1355) ~ (all_0_26_26 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1347,557) yields a new equation:
% 108.24/57.51 | (615) e3 = e2
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (995,808) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (615,648) yields a new equation:
% 108.24/57.51 | (524) e2 = e0
% 108.24/57.51 |
% 108.24/57.51 | Simplifying 524 yields:
% 108.24/57.51 | (525) e2 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (525) can reduce 336 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1358) yields:
% 108.24/57.51 | (1359) all_0_21_21 = e1
% 108.24/57.51 | (1360) all_0_33_33 = e3
% 108.24/57.51 | (1361) ~ (all_0_23_23 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1359,557) yields a new equation:
% 108.24/57.51 | (928) e3 = e1
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1463,1360) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (928,648) yields a new equation:
% 108.24/57.51 | (530) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Simplifying 530 yields:
% 108.24/57.51 | (531) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (531) can reduce 40 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1367) yields:
% 108.24/57.51 | (1359) all_0_21_21 = e1
% 108.24/57.51 | (1360) all_0_33_33 = e3
% 108.24/57.51 | (1370) ~ (all_0_31_31 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1359,557) yields a new equation:
% 108.24/57.51 | (928) e3 = e1
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (1463,1360) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (928,648) yields a new equation:
% 108.24/57.51 | (530) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Simplifying 530 yields:
% 108.24/57.51 | (531) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (531) can reduce 40 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1376) yields:
% 108.24/57.51 | (519) all_0_21_21 = e0
% 108.24/57.51 | (701) all_0_39_39 = e3
% 108.24/57.51 | (1379) ~ (all_0_24_24 = e3)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (519,557) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (648) can reduce 80 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1385) yields:
% 108.24/57.51 | (519) all_0_21_21 = e0
% 108.24/57.51 | (701) all_0_39_39 = e3
% 108.24/57.51 | (1388) ~ (all_0_36_36 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (519,557) yields a new equation:
% 108.24/57.51 | (648) e3 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (648) can reduce 80 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1394) yields:
% 108.24/57.51 | (816) all_0_27_27 = e1
% 108.24/57.51 | (637) all_0_33_33 = e2
% 108.24/57.51 | (477) ~ (all_0_28_28 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (995,816) yields a new equation:
% 108.24/57.51 | (531) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (531) can reduce 40 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1421) yields:
% 108.24/57.51 | (816) all_0_27_27 = e1
% 108.24/57.51 | (637) all_0_33_33 = e2
% 108.24/57.51 | (419) ~ (all_0_32_32 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Combining equations (995,816) yields a new equation:
% 108.24/57.51 | (531) e1 = e0
% 108.24/57.51 |
% 108.24/57.51 | Equations (531) can reduce 40 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1448) yields:
% 108.24/57.51 | (995) all_0_27_27 = e0
% 108.24/57.51 | (705) all_0_39_39 = e2
% 108.24/57.51 | (479) ~ (all_0_29_29 = e2)
% 108.24/57.51 |
% 108.24/57.51 | Equations (705) can reduce 1250 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1455) yields:
% 108.24/57.51 | (995) all_0_27_27 = e0
% 108.24/57.51 | (705) all_0_39_39 = e2
% 108.24/57.51 | (538) ~ (all_0_37_37 = e0)
% 108.24/57.51 |
% 108.24/57.51 | Equations (705) can reduce 1250 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Applying alpha-rule on (1462) yields:
% 108.24/57.51 | (1463) all_0_33_33 = e0
% 108.24/57.51 | (1252) all_0_39_39 = e1
% 108.24/57.51 | (421) ~ (all_0_34_34 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Equations (1252) can reduce 1250 to:
% 108.24/57.51 | (766) ~ (e2 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Simplifying 766 yields:
% 108.24/57.51 | (310) ~ (e2 = e1)
% 108.24/57.51 |
% 108.24/57.51 +-Applying beta-rule and splitting (20), into two cases.
% 108.24/57.51 |-Branch one:
% 108.24/57.51 | (696) ~ (all_0_39_39 = e1)
% 108.24/57.51 |
% 108.24/57.51 | Equations (1252) can reduce 696 to:
% 108.24/57.51 | (400) $false
% 108.24/57.51 |
% 108.24/57.51 |-The branch is then unsatisfiable
% 108.24/57.51 |-Branch two:
% 108.24/57.51 | (1252) all_0_39_39 = e1
% 108.31/57.51 | (13531) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (121), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (732) all_0_35_35 = e2
% 108.31/57.51 |
% 108.31/57.51 | Equations (732) can reduce 719 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (719) ~ (all_0_35_35 = e2)
% 108.31/57.51 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (1477), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (1478) all_0_36_36 = e2
% 108.31/57.51 |
% 108.31/57.51 | Combining equations (1478,534) yields a new equation:
% 108.31/57.51 | (524) e2 = e0
% 108.31/57.51 |
% 108.31/57.51 | Simplifying 524 yields:
% 108.31/57.51 | (525) e2 = e0
% 108.31/57.51 |
% 108.31/57.51 | Equations (525) can reduce 336 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (481) ~ (all_0_36_36 = e2)
% 108.31/57.51 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (1482), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (1129) all_0_37_37 = e2
% 108.31/57.51 |
% 108.31/57.51 | Combining equations (1129,847) yields a new equation:
% 108.31/57.51 | (798) e4 = e2
% 108.31/57.51 |
% 108.31/57.51 | Equations (798) can reduce 21 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (450) ~ (all_0_37_37 = e2)
% 108.31/57.51 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (4528), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (3218) all_0_38_38 = e2
% 108.31/57.51 |
% 108.31/57.51 | Combining equations (3218,3208) yields a new equation:
% 108.31/57.51 | (615) e3 = e2
% 108.31/57.51 |
% 108.31/57.51 | Equations (615) can reduce 52 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (2728) ~ (all_0_38_38 = e2)
% 108.31/57.51 | (705) all_0_39_39 = e2
% 108.31/57.51 |
% 108.31/57.51 | Combining equations (1252,705) yields a new equation:
% 108.31/57.51 | (621) e2 = e1
% 108.31/57.51 |
% 108.31/57.51 | Equations (621) can reduce 310 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.31/57.51 |
% 108.31/57.51 | Applying alpha-rule on (1469) yields:
% 108.31/57.51 | (1463) all_0_33_33 = e0
% 108.31/57.51 | (1252) all_0_39_39 = e1
% 108.31/57.51 | (540) ~ (all_0_38_38 = e0)
% 108.31/57.51 |
% 108.31/57.51 | Equations (1252) can reduce 1250 to:
% 108.31/57.51 | (766) ~ (e2 = e1)
% 108.31/57.51 |
% 108.31/57.51 | Simplifying 766 yields:
% 108.31/57.51 | (310) ~ (e2 = e1)
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (20), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (696) ~ (all_0_39_39 = e1)
% 108.31/57.51 |
% 108.31/57.51 | Equations (1252) can reduce 696 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (1252) all_0_39_39 = e1
% 108.31/57.51 | (13531) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (121), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (732) all_0_35_35 = e2
% 108.31/57.51 |
% 108.31/57.51 | Equations (732) can reduce 719 to:
% 108.31/57.51 | (400) $false
% 108.31/57.51 |
% 108.31/57.51 |-The branch is then unsatisfiable
% 108.31/57.51 |-Branch two:
% 108.31/57.51 | (719) ~ (all_0_35_35 = e2)
% 108.31/57.51 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.51 |
% 108.31/57.51 +-Applying beta-rule and splitting (1477), into two cases.
% 108.31/57.51 |-Branch one:
% 108.31/57.51 | (1478) all_0_36_36 = e2
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (1478,534) yields a new equation:
% 108.31/57.52 | (524) e2 = e0
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 524 yields:
% 108.31/57.52 | (525) e2 = e0
% 108.31/57.52 |
% 108.31/57.52 | Equations (525) can reduce 336 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (481) ~ (all_0_36_36 = e2)
% 108.31/57.52 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (1482), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (1129) all_0_37_37 = e2
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (1129,847) yields a new equation:
% 108.31/57.52 | (798) e4 = e2
% 108.31/57.52 |
% 108.31/57.52 | Equations (798) can reduce 21 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (450) ~ (all_0_37_37 = e2)
% 108.31/57.52 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (4528), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (3218) all_0_38_38 = e2
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (3218,3208) yields a new equation:
% 108.31/57.52 | (615) e3 = e2
% 108.31/57.52 |
% 108.31/57.52 | Equations (615) can reduce 52 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (2728) ~ (all_0_38_38 = e2)
% 108.31/57.52 | (705) all_0_39_39 = e2
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (1252,705) yields a new equation:
% 108.31/57.52 | (621) e2 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (621) can reduce 310 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (3095) ~ (all_0_38_38 = e3)
% 108.31/57.52 | (701) all_0_39_39 = e3
% 108.31/57.52 |
% 108.31/57.52 | Equations (701) can reduce 571 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (706) ~ (all_0_19_19 = e2)
% 108.31/57.52 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (1166), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (829) all_0_19_19 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (829) can reduce 943 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (943) ~ (all_0_19_19 = e1)
% 108.31/57.52 | (1187) all_0_19_19 = e0
% 108.31/57.52 |
% 108.31/57.52 | Equations (1187) can reduce 489 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (1519) ~ (all_0_25_25 = e1)
% 108.31/57.52 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (1701), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (1536) all_0_25_25 = e2
% 108.31/57.52 |
% 108.31/57.52 | Equations (1536) can reduce 473 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (473) ~ (all_0_25_25 = e2)
% 108.31/57.52 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (1705), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (1495) all_0_25_25 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (1495) can reduce 1519 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (1519) ~ (all_0_25_25 = e1)
% 108.31/57.52 | (749) all_0_25_25 = e0
% 108.31/57.52 |
% 108.31/57.52 | Equations (749) can reduce 1054 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (8458) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Applying alpha-rule on (8458) yields:
% 108.31/57.52 | (3041) all_0_7_7 = all_0_29_29
% 108.31/57.52 | (2946) ~ (all_0_29_29 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (3056,3041) yields a new equation:
% 108.31/57.52 | (12829) all_0_7_7 = e3
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (43), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (1495) all_0_25_25 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (1495) can reduce 194 to:
% 108.31/57.52 | (3855) ~ (all_0_35_35 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 3855 yields:
% 108.31/57.52 | (1138) ~ (all_0_35_35 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Equations (1495) can reduce 505 to:
% 108.31/57.52 | (764) ~ (e4 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 764 yields:
% 108.31/57.52 | (56) ~ (e4 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Equations (1495) can reduce 473 to:
% 108.31/57.52 | (766) ~ (e2 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 766 yields:
% 108.31/57.52 | (310) ~ (e2 = e1)
% 108.31/57.52 |
% 108.31/57.52 | Equations (1495) can reduce 1054 to:
% 108.31/57.52 | (40) ~ (e1 = e0)
% 108.31/57.52 |
% 108.31/57.52 | From (1495) and (311) follows:
% 108.31/57.52 | (12838) op(e2, e4) = e1
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (148), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (761) all_0_35_35 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (761) can reduce 1138 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (1138) ~ (all_0_35_35 = e1)
% 108.31/57.52 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (262), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (829) all_0_19_19 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (829) can reduce 943 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (943) ~ (all_0_19_19 = e1)
% 108.31/57.52 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (128), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (724) all_0_35_35 = e4
% 108.31/57.52 |
% 108.31/57.52 | Equations (724) can reduce 509 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (509) ~ (all_0_35_35 = e4)
% 108.31/57.52 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (944), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (8658) all_0_24_24 = e1
% 108.31/57.52 |
% 108.31/57.52 | Combining equations (8658,488) yields a new equation:
% 108.31/57.52 | (530) e1 = e0
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 530 yields:
% 108.31/57.52 | (531) e1 = e0
% 108.31/57.52 |
% 108.31/57.52 | Equations (531) can reduce 40 to:
% 108.31/57.52 | (400) $false
% 108.31/57.52 |
% 108.31/57.52 |-The branch is then unsatisfiable
% 108.31/57.52 |-Branch two:
% 108.31/57.52 | (432) ~ (all_0_24_24 = e1)
% 108.31/57.52 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.31/57.52 |
% 108.31/57.52 | Equations (488) can reduce 432 to:
% 108.31/57.52 | (498) ~ (e1 = e0)
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 498 yields:
% 108.31/57.52 | (40) ~ (e1 = e0)
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (727), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (728) all_0_35_35 = e3
% 108.31/57.52 |
% 108.31/57.52 | Equations (728) can reduce 210 to:
% 108.31/57.52 | (3094) ~ (all_0_38_38 = e3)
% 108.31/57.52 |
% 108.31/57.52 | Simplifying 3094 yields:
% 108.31/57.52 | (3095) ~ (all_0_38_38 = e3)
% 108.31/57.52 |
% 108.31/57.52 | Equations (728) can reduce 719 to:
% 108.31/57.52 | (52) ~ (e3 = e2)
% 108.31/57.52 |
% 108.31/57.52 | Equations (728) can reduce 1138 to:
% 108.31/57.52 | (298) ~ (e3 = e1)
% 108.31/57.52 |
% 108.31/57.52 +-Applying beta-rule and splitting (333), into two cases.
% 108.31/57.52 |-Branch one:
% 108.31/57.52 | (1846) all_0_38_38 = e4
% 108.31/57.52 |
% 108.31/57.53 | Equations (1846) can reduce 1835 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (1835) ~ (all_0_38_38 = e4)
% 108.31/57.53 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (8663), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (4599) all_0_29_29 = e1
% 108.31/57.53 |
% 108.31/57.53 | Combining equations (3056,4599) yields a new equation:
% 108.31/57.53 | (1113) e3 = e1
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 1113 yields:
% 108.31/57.53 | (928) e3 = e1
% 108.31/57.53 |
% 108.31/57.53 | Equations (928) can reduce 298 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (2946) ~ (all_0_29_29 = e1)
% 108.31/57.53 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (102), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1147) all_0_18_18 = e3
% 108.31/57.53 |
% 108.31/57.53 | Equations (1147) can reduce 38 to:
% 108.31/57.53 | (3094) ~ (all_0_38_38 = e3)
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 3094 yields:
% 108.31/57.53 | (3095) ~ (all_0_38_38 = e3)
% 108.31/57.53 |
% 108.31/57.53 | Equations (1147) can reduce 1141 to:
% 108.31/57.53 | (80) ~ (e3 = e0)
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (54), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1191) all_0_18_18 = e2
% 108.31/57.53 |
% 108.31/57.53 | Combining equations (1191,1147) yields a new equation:
% 108.31/57.53 | (615) e3 = e2
% 108.31/57.53 |
% 108.31/57.53 | Equations (615) can reduce 52 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (638) ~ (all_0_18_18 = e2)
% 108.31/57.53 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (3213), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (3208) all_0_38_38 = e3
% 108.31/57.53 |
% 108.31/57.53 | Equations (3208) can reduce 3095 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (3095) ~ (all_0_38_38 = e3)
% 108.31/57.53 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (3929), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (6267) all_0_23_23 = e2
% 108.31/57.53 |
% 108.31/57.53 | Combining equations (6267,427) yields a new equation:
% 108.31/57.53 | (620) e2 = e1
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 620 yields:
% 108.31/57.53 | (621) e2 = e1
% 108.31/57.53 |
% 108.31/57.53 | Equations (621) can reduce 310 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (6271) ~ (all_0_23_23 = e2)
% 108.31/57.53 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (3217), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (3218) all_0_38_38 = e2
% 108.31/57.53 |
% 108.31/57.53 | Equations (3218) can reduce 231 to:
% 108.31/57.53 | (2579) ~ (all_0_39_39 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 2579 yields:
% 108.31/57.53 | (1250) ~ (all_0_39_39 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Equations (3218) can reduce 1835 to:
% 108.31/57.53 | (482) ~ (e4 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 482 yields:
% 108.31/57.53 | (21) ~ (e4 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Equations (3218) can reduce 3095 to:
% 108.31/57.53 | (643) ~ (e3 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 643 yields:
% 108.31/57.53 | (52) ~ (e3 = e2)
% 108.31/57.53 |
% 108.31/57.53 | Equations (3218) can reduce 540 to:
% 108.31/57.53 | (336) ~ (e2 = e0)
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (300), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (697) all_0_39_39 = e4
% 108.31/57.53 |
% 108.31/57.53 | Equations (697) can reduce 607 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.53 | (607) ~ (all_0_39_39 = e4)
% 108.31/57.53 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (251), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1278), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1279), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1280), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1281), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1282), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1283), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1284), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1285), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1286), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1287), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1288), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1289), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1290), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1291), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1292), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1293), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1294), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.31/57.53 |
% 108.31/57.53 +-Applying beta-rule and splitting (1295), into two cases.
% 108.31/57.53 |-Branch one:
% 108.31/57.53 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.31/57.53 |
% 108.31/57.53 | Applying alpha-rule on (1296) yields:
% 108.31/57.53 | (1297) all_0_15_15 = e3
% 108.31/57.53 | (550) all_0_21_21 = e4
% 108.31/57.53 | (1299) ~ (all_0_16_16 = e4)
% 108.31/57.53 |
% 108.31/57.53 | Combining equations (1297,736) yields a new equation:
% 108.31/57.53 | (647) e3 = e0
% 108.31/57.53 |
% 108.31/57.53 | Simplifying 647 yields:
% 108.31/57.53 | (648) e3 = e0
% 108.31/57.53 |
% 108.31/57.53 | Equations (648) can reduce 80 to:
% 108.31/57.53 | (400) $false
% 108.31/57.53 |
% 108.31/57.53 |-The branch is then unsatisfiable
% 108.31/57.53 |-Branch two:
% 108.31/57.54 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1303) yields:
% 108.31/57.54 | (1297) all_0_15_15 = e3
% 108.31/57.54 | (550) all_0_21_21 = e4
% 108.31/57.54 | (1306) ~ (all_0_20_20 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1297,736) yields a new equation:
% 108.31/57.54 | (647) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 647 yields:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (648) can reduce 80 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1310) yields:
% 108.31/57.54 | (711) all_0_15_15 = e2
% 108.31/57.54 | (804) all_0_27_27 = e4
% 108.31/57.54 | (456) ~ (all_0_17_17 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (711,736) yields a new equation:
% 108.31/57.54 | (524) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 524 yields:
% 108.31/57.54 | (525) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (525) can reduce 336 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1315) yields:
% 108.31/57.54 | (711) all_0_15_15 = e2
% 108.31/57.54 | (804) all_0_27_27 = e4
% 108.31/57.54 | (473) ~ (all_0_25_25 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (711,736) yields a new equation:
% 108.31/57.54 | (524) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 524 yields:
% 108.31/57.54 | (525) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (525) can reduce 336 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1320) yields:
% 108.31/57.54 | (969) all_0_15_15 = e1
% 108.31/57.54 | (1322) all_0_33_33 = e4
% 108.31/57.54 | (458) ~ (all_0_18_18 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (969,736) yields a new equation:
% 108.31/57.54 | (530) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 530 yields:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1326) yields:
% 108.31/57.54 | (969) all_0_15_15 = e1
% 108.31/57.54 | (1322) all_0_33_33 = e4
% 108.31/57.54 | (417) ~ (all_0_30_30 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (969,736) yields a new equation:
% 108.31/57.54 | (530) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 530 yields:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1332) yields:
% 108.31/57.54 | (736) all_0_15_15 = e0
% 108.31/57.54 | (697) all_0_39_39 = e4
% 108.31/57.54 | (460) ~ (all_0_19_19 = e4)
% 108.31/57.54 |
% 108.31/57.54 | Equations (697) can reduce 607 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1339) yields:
% 108.31/57.54 | (736) all_0_15_15 = e0
% 108.31/57.54 | (697) all_0_39_39 = e4
% 108.31/57.54 | (536) ~ (all_0_35_35 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Equations (697) can reduce 607 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1346) yields:
% 108.31/57.54 | (1347) all_0_21_21 = e2
% 108.31/57.54 | (808) all_0_27_27 = e3
% 108.31/57.54 | (925) ~ (all_0_22_22 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1347,557) yields a new equation:
% 108.31/57.54 | (615) e3 = e2
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (995,808) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (648,615) yields a new equation:
% 108.31/57.54 | (525) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (525) can reduce 336 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1352) yields:
% 108.31/57.54 | (1347) all_0_21_21 = e2
% 108.31/57.54 | (808) all_0_27_27 = e3
% 108.31/57.54 | (1355) ~ (all_0_26_26 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1347,557) yields a new equation:
% 108.31/57.54 | (615) e3 = e2
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (995,808) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (648,615) yields a new equation:
% 108.31/57.54 | (525) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (525) can reduce 336 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1358) yields:
% 108.31/57.54 | (1359) all_0_21_21 = e1
% 108.31/57.54 | (1360) all_0_33_33 = e3
% 108.31/57.54 | (1361) ~ (all_0_23_23 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1359,557) yields a new equation:
% 108.31/57.54 | (928) e3 = e1
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1463,1360) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (928,648) yields a new equation:
% 108.31/57.54 | (530) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 530 yields:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1367) yields:
% 108.31/57.54 | (1359) all_0_21_21 = e1
% 108.31/57.54 | (1360) all_0_33_33 = e3
% 108.31/57.54 | (1370) ~ (all_0_31_31 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1359,557) yields a new equation:
% 108.31/57.54 | (928) e3 = e1
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (1463,1360) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (928,648) yields a new equation:
% 108.31/57.54 | (530) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 530 yields:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1376) yields:
% 108.31/57.54 | (519) all_0_21_21 = e0
% 108.31/57.54 | (701) all_0_39_39 = e3
% 108.31/57.54 | (1379) ~ (all_0_24_24 = e3)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (519,557) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (648) can reduce 80 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1385) yields:
% 108.31/57.54 | (519) all_0_21_21 = e0
% 108.31/57.54 | (701) all_0_39_39 = e3
% 108.31/57.54 | (1388) ~ (all_0_36_36 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (519,557) yields a new equation:
% 108.31/57.54 | (648) e3 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (648) can reduce 80 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1394) yields:
% 108.31/57.54 | (816) all_0_27_27 = e1
% 108.31/57.54 | (637) all_0_33_33 = e2
% 108.31/57.54 | (477) ~ (all_0_28_28 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (995,816) yields a new equation:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1421) yields:
% 108.31/57.54 | (816) all_0_27_27 = e1
% 108.31/57.54 | (637) all_0_33_33 = e2
% 108.31/57.54 | (419) ~ (all_0_32_32 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (995,816) yields a new equation:
% 108.31/57.54 | (531) e1 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (531) can reduce 40 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1448) yields:
% 108.31/57.54 | (995) all_0_27_27 = e0
% 108.31/57.54 | (705) all_0_39_39 = e2
% 108.31/57.54 | (479) ~ (all_0_29_29 = e2)
% 108.31/57.54 |
% 108.31/57.54 | Equations (705) can reduce 1250 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1455) yields:
% 108.31/57.54 | (995) all_0_27_27 = e0
% 108.31/57.54 | (705) all_0_39_39 = e2
% 108.31/57.54 | (538) ~ (all_0_37_37 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Equations (705) can reduce 1250 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (1462) yields:
% 108.31/57.54 | (1463) all_0_33_33 = e0
% 108.31/57.54 | (1252) all_0_39_39 = e1
% 108.31/57.54 | (421) ~ (all_0_34_34 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Equations (1252) can reduce 1250 to:
% 108.31/57.54 | (766) ~ (e2 = e1)
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 766 yields:
% 108.31/57.54 | (310) ~ (e2 = e1)
% 108.31/57.54 |
% 108.31/57.54 +-Applying beta-rule and splitting (160), into two cases.
% 108.31/57.54 |-Branch one:
% 108.31/57.54 | (711) all_0_15_15 = e2
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (711,736) yields a new equation:
% 108.31/57.54 | (524) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 524 yields:
% 108.31/57.54 | (525) e2 = e0
% 108.31/57.54 |
% 108.31/57.54 | Equations (525) can reduce 336 to:
% 108.31/57.54 | (400) $false
% 108.31/57.54 |
% 108.31/57.54 |-The branch is then unsatisfiable
% 108.31/57.54 |-Branch two:
% 108.31/57.54 | (769) ~ (all_0_15_15 = e2)
% 108.31/57.54 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.31/57.54 |
% 108.31/57.54 | Equations (736) can reduce 769 to:
% 108.31/57.54 | (496) ~ (e2 = e0)
% 108.31/57.54 |
% 108.31/57.54 | Simplifying 496 yields:
% 108.31/57.54 | (336) ~ (e2 = e0)
% 108.31/57.54 |
% 108.31/57.54 +-Applying beta-rule and splitting (8388), into two cases.
% 108.31/57.54 |-Branch one:
% 108.31/57.54 | (8389) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 108.31/57.54 |
% 108.31/57.54 +-Applying beta-rule and splitting (8389), into two cases.
% 108.31/57.54 |-Branch one:
% 108.31/57.54 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 108.31/57.54 |
% 108.31/57.54 | Applying alpha-rule on (3040) yields:
% 108.31/57.54 | (3041) all_0_7_7 = all_0_29_29
% 108.31/57.54 | (3042) ~ (all_0_6_6 = e1)
% 108.31/57.54 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 108.31/57.54 |
% 108.31/57.54 | Combining equations (3041,12829) yields a new equation:
% 108.31/57.54 | (13062) all_0_29_29 = e3
% 108.31/57.54 |
% 108.31/57.55 | Simplifying 13062 yields:
% 108.31/57.55 | (3056) all_0_29_29 = e3
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (168), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (1163) all_0_19_19 = e2
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (324), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (739) ~ (all_0_15_15 = e0)
% 108.31/57.55 |
% 108.31/57.55 | Equations (736) can reduce 739 to:
% 108.31/57.55 | (400) $false
% 108.31/57.55 |
% 108.31/57.55 |-The branch is then unsatisfiable
% 108.31/57.55 |-Branch two:
% 108.31/57.55 | (736) all_0_15_15 = e0
% 108.31/57.55 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (11400), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (11401) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (11401), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (11402) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.55 |
% 108.31/57.55 | Applying alpha-rule on (11402) yields:
% 108.31/57.55 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.55 | (1785) ~ (all_0_12_12 = e2)
% 108.31/57.55 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.55 |
% 108.31/57.55 | Combining equations (1163,3542) yields a new equation:
% 108.31/57.55 | (3903) all_0_13_13 = e2
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (2739), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.31/57.55 |
% 108.31/57.55 +-Applying beta-rule and splitting (13075), into two cases.
% 108.31/57.55 |-Branch one:
% 108.31/57.55 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.55 |
% 108.31/57.55 | Applying alpha-rule on (13076) yields:
% 108.31/57.55 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.55 | (1033) ~ (all_0_12_12 = e1)
% 108.31/57.55 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.55 |
% 108.31/57.55 | Combining equations (3542,3903) yields a new equation:
% 108.31/57.55 | (13080) all_0_19_19 = e2
% 108.31/57.55 |
% 108.31/57.55 | Simplifying 13080 yields:
% 108.31/57.55 | (1163) all_0_19_19 = e2
% 108.31/57.55 |
% 108.31/57.55 | From (1163) and (3544) follows:
% 108.31/57.55 | (3915) op(e2, e4) = all_0_12_12
% 108.31/57.55 |
% 108.31/57.55 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.31/57.55 | (13083) all_0_12_12 = e1
% 108.31/57.55 |
% 108.31/57.55 | Equations (13083) can reduce 1033 to:
% 108.31/57.55 | (400) $false
% 108.31/57.55 |
% 108.31/57.55 |-The branch is then unsatisfiable
% 108.31/57.55 |-Branch two:
% 108.31/57.55 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.31/57.55 |
% 108.31/57.55 | Applying alpha-rule on (11714) yields:
% 108.31/57.55 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.55 | (706) ~ (all_0_19_19 = e2)
% 108.31/57.55 |
% 108.31/57.55 | Combining equations (3542,3903) yields a new equation:
% 108.31/57.55 | (13080) all_0_19_19 = e2
% 108.31/57.55 |
% 108.31/57.55 | Simplifying 13080 yields:
% 108.31/57.55 | (1163) all_0_19_19 = e2
% 108.31/57.55 |
% 108.31/57.55 | Equations (1163) can reduce 706 to:
% 108.31/57.55 | (400) $false
% 108.31/57.55 |
% 108.31/57.55 |-The branch is then unsatisfiable
% 108.31/57.55 |-Branch two:
% 108.31/57.55 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.31/57.55 |
% 108.31/57.55 | Applying alpha-rule on (11413) yields:
% 108.31/57.55 | (3553) all_0_14_14 = all_0_35_35
% 108.31/57.55 | (585) ~ (all_0_35_35 = e3)
% 108.31/57.55 |
% 108.31/57.55 | Equations (728) can reduce 585 to:
% 108.31/57.55 | (400) $false
% 108.31/57.55 |
% 108.31/57.55 |-The branch is then unsatisfiable
% 108.31/57.56 |-Branch two:
% 108.31/57.56 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 108.31/57.56 |
% 108.31/57.56 | Applying alpha-rule on (3548) yields:
% 108.31/57.56 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.56 | (943) ~ (all_0_19_19 = e1)
% 108.31/57.56 |
% 108.31/57.56 | Combining equations (1163,3542) yields a new equation:
% 108.31/57.56 | (3903) all_0_13_13 = e2
% 108.31/57.56 |
% 108.31/57.56 +-Applying beta-rule and splitting (2739), into two cases.
% 108.31/57.56 |-Branch one:
% 108.31/57.56 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.31/57.56 |
% 108.31/57.56 +-Applying beta-rule and splitting (13075), into two cases.
% 108.31/57.56 |-Branch one:
% 108.31/57.56 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.56 |
% 108.31/57.56 | Applying alpha-rule on (13076) yields:
% 108.31/57.56 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.56 | (1033) ~ (all_0_12_12 = e1)
% 108.31/57.56 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.31/57.56 |
% 108.31/57.56 | Combining equations (3542,3903) yields a new equation:
% 108.31/57.56 | (13080) all_0_19_19 = e2
% 108.31/57.56 |
% 108.31/57.56 | Simplifying 13080 yields:
% 108.31/57.56 | (1163) all_0_19_19 = e2
% 108.31/57.56 |
% 108.31/57.56 | From (1163) and (3544) follows:
% 108.31/57.56 | (3915) op(e2, e4) = all_0_12_12
% 108.31/57.56 |
% 108.31/57.56 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.31/57.56 | (13083) all_0_12_12 = e1
% 108.31/57.56 |
% 108.31/57.56 | Equations (13083) can reduce 1033 to:
% 108.31/57.56 | (400) $false
% 108.31/57.56 |
% 108.31/57.56 |-The branch is then unsatisfiable
% 108.31/57.56 |-Branch two:
% 108.31/57.56 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.31/57.56 |
% 108.31/57.56 | Applying alpha-rule on (11714) yields:
% 108.31/57.56 | (3542) all_0_13_13 = all_0_19_19
% 108.31/57.56 | (706) ~ (all_0_19_19 = e2)
% 108.31/57.56 |
% 108.31/57.56 | Combining equations (3542,3903) yields a new equation:
% 108.31/57.56 | (13080) all_0_19_19 = e2
% 108.31/57.56 |
% 108.31/57.56 | Simplifying 13080 yields:
% 108.31/57.56 | (1163) all_0_19_19 = e2
% 108.31/57.56 |
% 108.31/57.56 | Equations (1163) can reduce 706 to:
% 108.31/57.56 | (400) $false
% 108.31/57.56 |
% 108.31/57.56 |-The branch is then unsatisfiable
% 108.31/57.56 |-Branch two:
% 108.31/57.56 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.31/57.56 |
% 108.31/57.56 | Applying alpha-rule on (11413) yields:
% 108.31/57.56 | (3553) all_0_14_14 = all_0_35_35
% 108.31/57.56 | (585) ~ (all_0_35_35 = e3)
% 108.31/57.56 |
% 108.31/57.56 | Equations (728) can reduce 585 to:
% 108.31/57.56 | (400) $false
% 108.31/57.56 |
% 108.31/57.56 |-The branch is then unsatisfiable
% 108.31/57.56 |-Branch two:
% 108.31/57.56 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.31/57.56 |
% 108.37/57.56 | Applying alpha-rule on (11413) yields:
% 108.37/57.56 | (3553) all_0_14_14 = all_0_35_35
% 108.37/57.56 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.56 |
% 108.37/57.56 | Equations (728) can reduce 585 to:
% 108.37/57.56 | (400) $false
% 108.37/57.56 |
% 108.37/57.56 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.57 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (7045), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (7046) all_0_24_24 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (7046,488) yields a new equation:
% 108.37/57.57 | (524) e2 = e0
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 524 yields:
% 108.37/57.57 | (525) e2 = e0
% 108.37/57.57 |
% 108.37/57.57 | Equations (525) can reduce 336 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (446) ~ (all_0_24_24 = e2)
% 108.37/57.57 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (1235), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (1236) all_0_16_16 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (1236,454) yields a new equation:
% 108.37/57.57 | (798) e4 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (798) can reduce 21 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (1239) ~ (all_0_16_16 = e2)
% 108.37/57.57 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (1240), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (1177) all_0_17_17 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (1177,980) yields a new equation:
% 108.37/57.57 | (620) e2 = e1
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 620 yields:
% 108.37/57.57 | (621) e2 = e1
% 108.37/57.57 |
% 108.37/57.57 | Equations (621) can reduce 310 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (396) ~ (all_0_17_17 = e2)
% 108.37/57.57 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (7050), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (5199) all_0_29_29 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (3056,5199) yields a new equation:
% 108.37/57.57 | (614) e3 = e2
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 614 yields:
% 108.37/57.57 | (615) e3 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (615) can reduce 52 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (479) ~ (all_0_29_29 = e2)
% 108.37/57.57 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (3056) can reduce 479 to:
% 108.37/57.57 | (52) ~ (e3 = e2)
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (1244), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (1191) all_0_18_18 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (1191,1147) yields a new equation:
% 108.37/57.57 | (615) e3 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (615) can reduce 52 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (638) ~ (all_0_18_18 = e2)
% 108.37/57.57 | (1163) all_0_19_19 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (1163) can reduce 706 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (8507) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)
% 108.37/57.57 |
% 108.37/57.57 | Applying alpha-rule on (8507) yields:
% 108.37/57.57 | (3041) all_0_7_7 = all_0_29_29
% 108.37/57.57 | (3115) ~ (all_0_29_29 = e3)
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (3041,12829) yields a new equation:
% 108.37/57.57 | (13062) all_0_29_29 = e3
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 13062 yields:
% 108.37/57.57 | (3056) all_0_29_29 = e3
% 108.37/57.57 |
% 108.37/57.57 | Equations (3056) can reduce 3115 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.37/57.57 |
% 108.37/57.57 | Applying alpha-rule on (8464) yields:
% 108.37/57.57 | (3052) all_0_8_8 = all_0_37_37
% 108.37/57.57 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.57 |
% 108.37/57.57 | Equations (847) can reduce 1002 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.37/57.57 |
% 108.37/57.57 | Applying alpha-rule on (1469) yields:
% 108.37/57.57 | (1463) all_0_33_33 = e0
% 108.37/57.57 | (1252) all_0_39_39 = e1
% 108.37/57.57 | (540) ~ (all_0_38_38 = e0)
% 108.37/57.57 |
% 108.37/57.57 | Equations (3218) can reduce 540 to:
% 108.37/57.57 | (336) ~ (e2 = e0)
% 108.37/57.57 |
% 108.37/57.57 | Equations (1252) can reduce 1250 to:
% 108.37/57.57 | (766) ~ (e2 = e1)
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 766 yields:
% 108.37/57.57 | (310) ~ (e2 = e1)
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (160), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (711) all_0_15_15 = e2
% 108.37/57.57 |
% 108.37/57.57 | Combining equations (711,736) yields a new equation:
% 108.37/57.57 | (524) e2 = e0
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 524 yields:
% 108.37/57.57 | (525) e2 = e0
% 108.37/57.57 |
% 108.37/57.57 | Equations (525) can reduce 336 to:
% 108.37/57.57 | (400) $false
% 108.37/57.57 |
% 108.37/57.57 |-The branch is then unsatisfiable
% 108.37/57.57 |-Branch two:
% 108.37/57.57 | (769) ~ (all_0_15_15 = e2)
% 108.37/57.57 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.57 |
% 108.37/57.57 | Equations (736) can reduce 769 to:
% 108.37/57.57 | (496) ~ (e2 = e0)
% 108.37/57.57 |
% 108.37/57.57 | Simplifying 496 yields:
% 108.37/57.57 | (336) ~ (e2 = e0)
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (8388), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (8389) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3))
% 108.37/57.57 |
% 108.37/57.57 +-Applying beta-rule and splitting (8389), into two cases.
% 108.37/57.57 |-Branch one:
% 108.37/57.57 | (3040) all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6
% 108.37/57.57 |
% 108.37/57.57 | Applying alpha-rule on (3040) yields:
% 108.37/57.57 | (3041) all_0_7_7 = all_0_29_29
% 108.37/57.58 | (3042) ~ (all_0_6_6 = e1)
% 108.37/57.58 | (3043) op(all_0_29_29, e2) = all_0_6_6
% 108.37/57.58 |
% 108.37/57.58 | Combining equations (3041,12829) yields a new equation:
% 108.37/57.58 | (13062) all_0_29_29 = e3
% 108.37/57.58 |
% 108.37/57.58 | Simplifying 13062 yields:
% 108.37/57.58 | (3056) all_0_29_29 = e3
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (168), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (1163) all_0_19_19 = e2
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (324), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (739) ~ (all_0_15_15 = e0)
% 108.37/57.58 |
% 108.37/57.58 | Equations (736) can reduce 739 to:
% 108.37/57.58 | (400) $false
% 108.37/57.58 |
% 108.37/57.58 |-The branch is then unsatisfiable
% 108.37/57.58 |-Branch two:
% 108.37/57.58 | (736) all_0_15_15 = e0
% 108.37/57.58 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (11400), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (11401) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (11401), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (11402) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.58 |
% 108.37/57.58 | Applying alpha-rule on (11402) yields:
% 108.37/57.58 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.58 | (1785) ~ (all_0_12_12 = e2)
% 108.37/57.58 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.58 |
% 108.37/57.58 | Combining equations (1163,3542) yields a new equation:
% 108.37/57.58 | (3903) all_0_13_13 = e2
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (2739), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.37/57.58 |
% 108.37/57.58 +-Applying beta-rule and splitting (13075), into two cases.
% 108.37/57.58 |-Branch one:
% 108.37/57.58 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.58 |
% 108.37/57.58 | Applying alpha-rule on (13076) yields:
% 108.37/57.58 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.58 | (1033) ~ (all_0_12_12 = e1)
% 108.37/57.58 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.58 |
% 108.37/57.58 | Combining equations (3542,3903) yields a new equation:
% 108.37/57.58 | (13080) all_0_19_19 = e2
% 108.37/57.58 |
% 108.37/57.58 | Simplifying 13080 yields:
% 108.37/57.58 | (1163) all_0_19_19 = e2
% 108.37/57.58 |
% 108.37/57.58 | From (1163) and (3544) follows:
% 108.37/57.58 | (3915) op(e2, e4) = all_0_12_12
% 108.37/57.58 |
% 108.37/57.58 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.37/57.58 | (13083) all_0_12_12 = e1
% 108.37/57.58 |
% 108.37/57.58 | Equations (13083) can reduce 1033 to:
% 108.37/57.58 | (400) $false
% 108.37/57.58 |
% 108.37/57.58 |-The branch is then unsatisfiable
% 108.37/57.58 |-Branch two:
% 108.37/57.58 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.37/57.58 |
% 108.37/57.58 | Applying alpha-rule on (11714) yields:
% 108.37/57.58 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.58 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.58 |
% 108.37/57.58 | Combining equations (3542,3903) yields a new equation:
% 108.37/57.58 | (13080) all_0_19_19 = e2
% 108.37/57.58 |
% 108.37/57.58 | Simplifying 13080 yields:
% 108.37/57.58 | (1163) all_0_19_19 = e2
% 108.37/57.58 |
% 108.37/57.58 | Equations (1163) can reduce 706 to:
% 108.37/57.58 | (400) $false
% 108.37/57.58 |
% 108.37/57.58 |-The branch is then unsatisfiable
% 108.37/57.58 |-Branch two:
% 108.37/57.59 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.37/57.59 |
% 108.37/57.59 | Applying alpha-rule on (11413) yields:
% 108.37/57.59 | (3553) all_0_14_14 = all_0_35_35
% 108.37/57.59 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.59 |
% 108.37/57.59 | Equations (728) can reduce 585 to:
% 108.37/57.59 | (400) $false
% 108.37/57.59 |
% 108.37/57.59 |-The branch is then unsatisfiable
% 108.37/57.59 |-Branch two:
% 108.37/57.59 | (3548) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e1)
% 108.37/57.59 |
% 108.37/57.59 | Applying alpha-rule on (3548) yields:
% 108.37/57.59 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.59 | (943) ~ (all_0_19_19 = e1)
% 108.37/57.59 |
% 108.37/57.59 | Combining equations (1163,3542) yields a new equation:
% 108.37/57.59 | (3903) all_0_13_13 = e2
% 108.37/57.59 |
% 108.37/57.59 +-Applying beta-rule and splitting (2739), into two cases.
% 108.37/57.59 |-Branch one:
% 108.37/57.59 | (13075) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.37/57.59 |
% 108.37/57.59 +-Applying beta-rule and splitting (13075), into two cases.
% 108.37/57.59 |-Branch one:
% 108.37/57.59 | (13076) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.59 |
% 108.37/57.59 | Applying alpha-rule on (13076) yields:
% 108.37/57.59 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.59 | (1033) ~ (all_0_12_12 = e1)
% 108.37/57.59 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.37/57.59 |
% 108.37/57.59 | Combining equations (3542,3903) yields a new equation:
% 108.37/57.59 | (13080) all_0_19_19 = e2
% 108.37/57.59 |
% 108.37/57.59 | Simplifying 13080 yields:
% 108.37/57.59 | (1163) all_0_19_19 = e2
% 108.37/57.59 |
% 108.37/57.59 | From (1163) and (3544) follows:
% 108.37/57.59 | (3915) op(e2, e4) = all_0_12_12
% 108.37/57.59 |
% 108.37/57.59 | Instantiating formula (29) with e2, e4, e1, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e1, yields:
% 108.37/57.59 | (13083) all_0_12_12 = e1
% 108.37/57.59 |
% 108.37/57.59 | Equations (13083) can reduce 1033 to:
% 108.37/57.59 | (400) $false
% 108.37/57.59 |
% 108.37/57.59 |-The branch is then unsatisfiable
% 108.37/57.59 |-Branch two:
% 108.37/57.59 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.37/57.59 |
% 108.37/57.59 | Applying alpha-rule on (11714) yields:
% 108.37/57.59 | (3542) all_0_13_13 = all_0_19_19
% 108.37/57.59 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.59 |
% 108.37/57.59 | Combining equations (3542,3903) yields a new equation:
% 108.37/57.59 | (13080) all_0_19_19 = e2
% 108.37/57.59 |
% 108.37/57.59 | Simplifying 13080 yields:
% 108.37/57.59 | (1163) all_0_19_19 = e2
% 108.37/57.59 |
% 108.37/57.59 | Equations (1163) can reduce 706 to:
% 108.37/57.59 | (400) $false
% 108.37/57.59 |
% 108.37/57.59 |-The branch is then unsatisfiable
% 108.37/57.59 |-Branch two:
% 108.37/57.59 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.37/57.59 |
% 108.37/57.59 | Applying alpha-rule on (11413) yields:
% 108.37/57.59 | (3553) all_0_14_14 = all_0_35_35
% 108.37/57.59 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.59 |
% 108.37/57.59 | Equations (728) can reduce 585 to:
% 108.37/57.59 | (400) $false
% 108.37/57.59 |
% 108.37/57.59 |-The branch is then unsatisfiable
% 108.37/57.59 |-Branch two:
% 108.37/57.59 | (11413) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3)
% 108.37/57.59 |
% 108.37/57.60 | Applying alpha-rule on (11413) yields:
% 108.37/57.60 | (3553) all_0_14_14 = all_0_35_35
% 108.37/57.60 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.60 |
% 108.37/57.60 | Equations (728) can reduce 585 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.60 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (7045), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (7046) all_0_24_24 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (7046,488) yields a new equation:
% 108.37/57.60 | (524) e2 = e0
% 108.37/57.60 |
% 108.37/57.60 | Simplifying 524 yields:
% 108.37/57.60 | (525) e2 = e0
% 108.37/57.60 |
% 108.37/57.60 | Equations (525) can reduce 336 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (446) ~ (all_0_24_24 = e2)
% 108.37/57.60 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (1235), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (1236) all_0_16_16 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (1236,454) yields a new equation:
% 108.37/57.60 | (798) e4 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (798) can reduce 21 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (1239) ~ (all_0_16_16 = e2)
% 108.37/57.60 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (1240), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (1177) all_0_17_17 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (1177,980) yields a new equation:
% 108.37/57.60 | (620) e2 = e1
% 108.37/57.60 |
% 108.37/57.60 | Simplifying 620 yields:
% 108.37/57.60 | (621) e2 = e1
% 108.37/57.60 |
% 108.37/57.60 | Equations (621) can reduce 310 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (396) ~ (all_0_17_17 = e2)
% 108.37/57.60 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (7050), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (5199) all_0_29_29 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (3056,5199) yields a new equation:
% 108.37/57.60 | (614) e3 = e2
% 108.37/57.60 |
% 108.37/57.60 | Simplifying 614 yields:
% 108.37/57.60 | (615) e3 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (615) can reduce 52 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (479) ~ (all_0_29_29 = e2)
% 108.37/57.60 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (3056) can reduce 479 to:
% 108.37/57.60 | (52) ~ (e3 = e2)
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (1244), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (1191) all_0_18_18 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (1191,1147) yields a new equation:
% 108.37/57.60 | (615) e3 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (615) can reduce 52 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (638) ~ (all_0_18_18 = e2)
% 108.37/57.60 | (1163) all_0_19_19 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (1163) can reduce 706 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (8507) all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)
% 108.37/57.60 |
% 108.37/57.60 | Applying alpha-rule on (8507) yields:
% 108.37/57.60 | (3041) all_0_7_7 = all_0_29_29
% 108.37/57.60 | (3115) ~ (all_0_29_29 = e3)
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (3041,12829) yields a new equation:
% 108.37/57.60 | (13062) all_0_29_29 = e3
% 108.37/57.60 |
% 108.37/57.60 | Simplifying 13062 yields:
% 108.37/57.60 | (3056) all_0_29_29 = e3
% 108.37/57.60 |
% 108.37/57.60 | Equations (3056) can reduce 3115 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.37/57.60 |
% 108.37/57.60 | Applying alpha-rule on (8464) yields:
% 108.37/57.60 | (3052) all_0_8_8 = all_0_37_37
% 108.37/57.60 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.60 |
% 108.37/57.60 | Equations (847) can reduce 1002 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (2728) ~ (all_0_38_38 = e2)
% 108.37/57.60 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (6272), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (1118) all_0_28_28 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (854,1118) yields a new equation:
% 108.37/57.60 | (1531) e4 = e2
% 108.37/57.60 |
% 108.37/57.60 | Simplifying 1531 yields:
% 108.37/57.60 | (798) e4 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (798) can reduce 21 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (477) ~ (all_0_28_28 = e2)
% 108.37/57.60 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 108.37/57.60 |
% 108.37/57.60 +-Applying beta-rule and splitting (6293), into two cases.
% 108.37/57.60 |-Branch one:
% 108.37/57.60 | (637) all_0_33_33 = e2
% 108.37/57.60 |
% 108.37/57.60 | Combining equations (1463,637) yields a new equation:
% 108.37/57.60 | (525) e2 = e0
% 108.37/57.60 |
% 108.37/57.60 | Equations (525) can reduce 336 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.60 |-Branch two:
% 108.37/57.60 | (671) ~ (all_0_33_33 = e2)
% 108.37/57.60 | (3218) all_0_38_38 = e2
% 108.37/57.60 |
% 108.37/57.60 | Equations (3218) can reduce 2728 to:
% 108.37/57.60 | (400) $false
% 108.37/57.60 |
% 108.37/57.60 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (1189) ~ (all_0_18_18 = e3)
% 108.37/57.61 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (3213), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (3208) all_0_38_38 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (3208) can reduce 3095 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (3095) ~ (all_0_38_38 = e3)
% 108.37/57.61 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (342), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1008) all_0_18_18 = e4
% 108.37/57.61 |
% 108.37/57.61 | Equations (1008) can reduce 458 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (458) ~ (all_0_18_18 = e4)
% 108.37/57.61 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1146), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1147) all_0_18_18 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (1147) can reduce 1189 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (1189) ~ (all_0_18_18 = e3)
% 108.37/57.61 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1190), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1191) all_0_18_18 = e2
% 108.37/57.61 |
% 108.37/57.61 | Equations (1191) can reduce 38 to:
% 108.37/57.61 | (2727) ~ (all_0_38_38 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Simplifying 2727 yields:
% 108.37/57.61 | (2728) ~ (all_0_38_38 = e2)
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (3217), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (3218) all_0_38_38 = e2
% 108.37/57.61 |
% 108.37/57.61 | Equations (3218) can reduce 2728 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (2728) ~ (all_0_38_38 = e2)
% 108.37/57.61 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (11125), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (4342) all_0_34_34 = e1
% 108.37/57.61 |
% 108.37/57.61 | Combining equations (601,4342) yields a new equation:
% 108.37/57.61 | (975) e4 = e1
% 108.37/57.61 |
% 108.37/57.61 | Simplifying 975 yields:
% 108.37/57.61 | (838) e4 = e1
% 108.37/57.61 |
% 108.37/57.61 | Equations (838) can reduce 56 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (421) ~ (all_0_34_34 = e1)
% 108.37/57.61 | (1252) all_0_39_39 = e1
% 108.37/57.61 |
% 108.37/57.61 | Equations (1252) can reduce 231 to:
% 108.37/57.61 | (438) ~ (all_0_38_38 = e1)
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (3221), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (3222) all_0_38_38 = e1
% 108.37/57.61 |
% 108.37/57.61 | Equations (3222) can reduce 438 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (438) ~ (all_0_38_38 = e1)
% 108.37/57.61 | (3225) all_0_38_38 = e0
% 108.37/57.61 |
% 108.37/57.61 | Equations (3225) can reduce 540 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (638) ~ (all_0_18_18 = e2)
% 108.37/57.61 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1194), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (984) all_0_18_18 = e1
% 108.37/57.61 |
% 108.37/57.61 | Equations (984) can reduce 428 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (428) ~ (all_0_18_18 = e1)
% 108.37/57.61 | (756) all_0_18_18 = e0
% 108.37/57.61 |
% 108.37/57.61 | Equations (756) can reduce 1141 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.61 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1154), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1159) all_0_19_19 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (1159) can reduce 1150 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (1150) ~ (all_0_19_19 = e3)
% 108.37/57.61 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (6683), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (6785) all_0_20_20 = e3
% 108.37/57.61 |
% 108.37/57.61 | Combining equations (6785,500) yields a new equation:
% 108.37/57.61 | (597) e4 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (597) can reduce 255 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (1306) ~ (all_0_20_20 = e3)
% 108.37/57.61 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (500) can reduce 1306 to:
% 108.37/57.61 | (255) ~ (e4 = e3)
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (254), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (728) all_0_35_35 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (728) can reduce 585 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (585) ~ (all_0_35_35 = e3)
% 108.37/57.61 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1162), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1163) all_0_19_19 = e2
% 108.37/57.61 |
% 108.37/57.61 | Equations (1163) can reduce 94 to:
% 108.37/57.61 | (2579) ~ (all_0_39_39 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Simplifying 2579 yields:
% 108.37/57.61 | (1250) ~ (all_0_39_39 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Equations (1163) can reduce 460 to:
% 108.37/57.61 | (482) ~ (e4 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Simplifying 482 yields:
% 108.37/57.61 | (21) ~ (e4 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Equations (1163) can reduce 1150 to:
% 108.37/57.61 | (643) ~ (e3 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Simplifying 643 yields:
% 108.37/57.61 | (52) ~ (e3 = e2)
% 108.37/57.61 |
% 108.37/57.61 | Equations (1163) can reduce 489 to:
% 108.37/57.61 | (336) ~ (e2 = e0)
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (324), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (739) ~ (all_0_15_15 = e0)
% 108.37/57.61 |
% 108.37/57.61 | Equations (736) can reduce 739 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (736) all_0_15_15 = e0
% 108.37/57.61 | (2739) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e1) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e3))
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (4535), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (4536) all_0_36_36 = e3
% 108.37/57.61 |
% 108.37/57.61 | Combining equations (534,4536) yields a new equation:
% 108.37/57.61 | (648) e3 = e0
% 108.37/57.61 |
% 108.37/57.61 | Equations (648) can reduce 80 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (4540) ~ (all_0_36_36 = e3)
% 108.37/57.61 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (4541), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (936) all_0_37_37 = e3
% 108.37/57.61 |
% 108.37/57.61 | Combining equations (936,847) yields a new equation:
% 108.37/57.61 | (597) e4 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (597) can reduce 255 to:
% 108.37/57.61 | (400) $false
% 108.37/57.61 |
% 108.37/57.61 |-The branch is then unsatisfiable
% 108.37/57.61 |-Branch two:
% 108.37/57.61 | (1127) ~ (all_0_37_37 = e3)
% 108.37/57.61 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (4729), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (3208) all_0_38_38 = e3
% 108.37/57.61 |
% 108.37/57.61 | Equations (3208) can reduce 540 to:
% 108.37/57.61 | (80) ~ (e3 = e0)
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (251), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.37/57.61 |
% 108.37/57.61 +-Applying beta-rule and splitting (1278), into two cases.
% 108.37/57.61 |-Branch one:
% 108.37/57.61 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1279), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1280), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1281), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1282), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1283), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1284), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1285), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1286), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1287), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1288), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1289), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1290), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1291), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1292), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1293), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1294), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.37/57.62 |
% 108.37/57.62 +-Applying beta-rule and splitting (1295), into two cases.
% 108.37/57.62 |-Branch one:
% 108.37/57.62 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1296) yields:
% 108.37/57.62 | (1297) all_0_15_15 = e3
% 108.37/57.62 | (550) all_0_21_21 = e4
% 108.37/57.62 | (1299) ~ (all_0_16_16 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1297,736) yields a new equation:
% 108.37/57.62 | (647) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 647 yields:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (648) can reduce 80 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1303) yields:
% 108.37/57.62 | (1297) all_0_15_15 = e3
% 108.37/57.62 | (550) all_0_21_21 = e4
% 108.37/57.62 | (1306) ~ (all_0_20_20 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1297,736) yields a new equation:
% 108.37/57.62 | (647) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 647 yields:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (648) can reduce 80 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1310) yields:
% 108.37/57.62 | (711) all_0_15_15 = e2
% 108.37/57.62 | (804) all_0_27_27 = e4
% 108.37/57.62 | (456) ~ (all_0_17_17 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (711,736) yields a new equation:
% 108.37/57.62 | (524) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 524 yields:
% 108.37/57.62 | (525) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (525) can reduce 336 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1315) yields:
% 108.37/57.62 | (711) all_0_15_15 = e2
% 108.37/57.62 | (804) all_0_27_27 = e4
% 108.37/57.62 | (473) ~ (all_0_25_25 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (711,736) yields a new equation:
% 108.37/57.62 | (524) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 524 yields:
% 108.37/57.62 | (525) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (525) can reduce 336 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1320) yields:
% 108.37/57.62 | (969) all_0_15_15 = e1
% 108.37/57.62 | (1322) all_0_33_33 = e4
% 108.37/57.62 | (458) ~ (all_0_18_18 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (969,736) yields a new equation:
% 108.37/57.62 | (530) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 530 yields:
% 108.37/57.62 | (531) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (531) can reduce 40 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1326) yields:
% 108.37/57.62 | (969) all_0_15_15 = e1
% 108.37/57.62 | (1322) all_0_33_33 = e4
% 108.37/57.62 | (417) ~ (all_0_30_30 = e1)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (969,736) yields a new equation:
% 108.37/57.62 | (530) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 530 yields:
% 108.37/57.62 | (531) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (531) can reduce 40 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1332) yields:
% 108.37/57.62 | (736) all_0_15_15 = e0
% 108.37/57.62 | (697) all_0_39_39 = e4
% 108.37/57.62 | (460) ~ (all_0_19_19 = e4)
% 108.37/57.62 |
% 108.37/57.62 | Equations (697) can reduce 607 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1339) yields:
% 108.37/57.62 | (736) all_0_15_15 = e0
% 108.37/57.62 | (697) all_0_39_39 = e4
% 108.37/57.62 | (536) ~ (all_0_35_35 = e0)
% 108.37/57.62 |
% 108.37/57.62 | Equations (697) can reduce 607 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1346) yields:
% 108.37/57.62 | (1347) all_0_21_21 = e2
% 108.37/57.62 | (808) all_0_27_27 = e3
% 108.37/57.62 | (925) ~ (all_0_22_22 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1347,557) yields a new equation:
% 108.37/57.62 | (615) e3 = e2
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (995,808) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (615,648) yields a new equation:
% 108.37/57.62 | (524) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 524 yields:
% 108.37/57.62 | (525) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (525) can reduce 336 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1352) yields:
% 108.37/57.62 | (1347) all_0_21_21 = e2
% 108.37/57.62 | (808) all_0_27_27 = e3
% 108.37/57.62 | (1355) ~ (all_0_26_26 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1347,557) yields a new equation:
% 108.37/57.62 | (615) e3 = e2
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (995,808) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (615,648) yields a new equation:
% 108.37/57.62 | (524) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 524 yields:
% 108.37/57.62 | (525) e2 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (525) can reduce 336 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1358) yields:
% 108.37/57.62 | (1359) all_0_21_21 = e1
% 108.37/57.62 | (1360) all_0_33_33 = e3
% 108.37/57.62 | (1361) ~ (all_0_23_23 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1359,557) yields a new equation:
% 108.37/57.62 | (928) e3 = e1
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1463,1360) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (928,648) yields a new equation:
% 108.37/57.62 | (530) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 530 yields:
% 108.37/57.62 | (531) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (531) can reduce 40 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1367) yields:
% 108.37/57.62 | (1359) all_0_21_21 = e1
% 108.37/57.62 | (1360) all_0_33_33 = e3
% 108.37/57.62 | (1370) ~ (all_0_31_31 = e1)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1359,557) yields a new equation:
% 108.37/57.62 | (928) e3 = e1
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (1463,1360) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (928,648) yields a new equation:
% 108.37/57.62 | (530) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Simplifying 530 yields:
% 108.37/57.62 | (531) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (531) can reduce 40 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1376) yields:
% 108.37/57.62 | (519) all_0_21_21 = e0
% 108.37/57.62 | (701) all_0_39_39 = e3
% 108.37/57.62 | (1379) ~ (all_0_24_24 = e3)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (519,557) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (648) can reduce 80 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1385) yields:
% 108.37/57.62 | (519) all_0_21_21 = e0
% 108.37/57.62 | (701) all_0_39_39 = e3
% 108.37/57.62 | (1388) ~ (all_0_36_36 = e0)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (519,557) yields a new equation:
% 108.37/57.62 | (648) e3 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (648) can reduce 80 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Applying alpha-rule on (1394) yields:
% 108.37/57.62 | (816) all_0_27_27 = e1
% 108.37/57.62 | (637) all_0_33_33 = e2
% 108.37/57.62 | (477) ~ (all_0_28_28 = e2)
% 108.37/57.62 |
% 108.37/57.62 | Combining equations (995,816) yields a new equation:
% 108.37/57.62 | (531) e1 = e0
% 108.37/57.62 |
% 108.37/57.62 | Equations (531) can reduce 40 to:
% 108.37/57.62 | (400) $false
% 108.37/57.62 |
% 108.37/57.62 |-The branch is then unsatisfiable
% 108.37/57.62 |-Branch two:
% 108.37/57.62 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.37/57.62 |
% 108.37/57.63 | Applying alpha-rule on (1421) yields:
% 108.37/57.63 | (816) all_0_27_27 = e1
% 108.37/57.63 | (637) all_0_33_33 = e2
% 108.37/57.63 | (419) ~ (all_0_32_32 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (995,816) yields a new equation:
% 108.37/57.63 | (531) e1 = e0
% 108.37/57.63 |
% 108.37/57.63 | Equations (531) can reduce 40 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.37/57.63 |
% 108.37/57.63 | Applying alpha-rule on (1448) yields:
% 108.37/57.63 | (995) all_0_27_27 = e0
% 108.37/57.63 | (705) all_0_39_39 = e2
% 108.37/57.63 | (479) ~ (all_0_29_29 = e2)
% 108.37/57.63 |
% 108.37/57.63 | Equations (705) can reduce 1250 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.37/57.63 |
% 108.37/57.63 | Applying alpha-rule on (1455) yields:
% 108.37/57.63 | (995) all_0_27_27 = e0
% 108.37/57.63 | (705) all_0_39_39 = e2
% 108.37/57.63 | (538) ~ (all_0_37_37 = e0)
% 108.37/57.63 |
% 108.37/57.63 | Equations (705) can reduce 1250 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Applying alpha-rule on (1462) yields:
% 108.37/57.63 | (1463) all_0_33_33 = e0
% 108.37/57.63 | (1252) all_0_39_39 = e1
% 108.37/57.63 | (421) ~ (all_0_34_34 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Equations (1252) can reduce 1250 to:
% 108.37/57.63 | (766) ~ (e2 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Simplifying 766 yields:
% 108.37/57.63 | (310) ~ (e2 = e1)
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (20), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (696) ~ (all_0_39_39 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Equations (1252) can reduce 696 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1252) all_0_39_39 = e1
% 108.37/57.63 | (13531) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (121), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (732) all_0_35_35 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (732) can reduce 719 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (719) ~ (all_0_35_35 = e2)
% 108.37/57.63 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (1477), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (1478) all_0_36_36 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1478,534) yields a new equation:
% 108.37/57.63 | (524) e2 = e0
% 108.37/57.63 |
% 108.37/57.63 | Simplifying 524 yields:
% 108.37/57.63 | (525) e2 = e0
% 108.37/57.63 |
% 108.37/57.63 | Equations (525) can reduce 336 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (481) ~ (all_0_36_36 = e2)
% 108.37/57.63 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (1482), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (1129) all_0_37_37 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1129,847) yields a new equation:
% 108.37/57.63 | (798) e4 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (798) can reduce 21 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (450) ~ (all_0_37_37 = e2)
% 108.37/57.63 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (4528), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (3218) all_0_38_38 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (3218,3208) yields a new equation:
% 108.37/57.63 | (615) e3 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (615) can reduce 52 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (2728) ~ (all_0_38_38 = e2)
% 108.37/57.63 | (705) all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1252,705) yields a new equation:
% 108.37/57.63 | (621) e2 = e1
% 108.37/57.63 |
% 108.37/57.63 | Equations (621) can reduce 310 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.37/57.63 |
% 108.37/57.63 | Applying alpha-rule on (1469) yields:
% 108.37/57.63 | (1463) all_0_33_33 = e0
% 108.37/57.63 | (1252) all_0_39_39 = e1
% 108.37/57.63 | (540) ~ (all_0_38_38 = e0)
% 108.37/57.63 |
% 108.37/57.63 | Equations (1252) can reduce 1250 to:
% 108.37/57.63 | (766) ~ (e2 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Simplifying 766 yields:
% 108.37/57.63 | (310) ~ (e2 = e1)
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (20), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (696) ~ (all_0_39_39 = e1)
% 108.37/57.63 |
% 108.37/57.63 | Equations (1252) can reduce 696 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (1252) all_0_39_39 = e1
% 108.37/57.63 | (13531) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e4))
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (121), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (732) all_0_35_35 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (732) can reduce 719 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (719) ~ (all_0_35_35 = e2)
% 108.37/57.63 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (1477), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (1478) all_0_36_36 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1478,534) yields a new equation:
% 108.37/57.63 | (524) e2 = e0
% 108.37/57.63 |
% 108.37/57.63 | Simplifying 524 yields:
% 108.37/57.63 | (525) e2 = e0
% 108.37/57.63 |
% 108.37/57.63 | Equations (525) can reduce 336 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (481) ~ (all_0_36_36 = e2)
% 108.37/57.63 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (1482), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (1129) all_0_37_37 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1129,847) yields a new equation:
% 108.37/57.63 | (798) e4 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (798) can reduce 21 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (450) ~ (all_0_37_37 = e2)
% 108.37/57.63 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (4528), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (3218) all_0_38_38 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (3218,3208) yields a new equation:
% 108.37/57.63 | (615) e3 = e2
% 108.37/57.63 |
% 108.37/57.63 | Equations (615) can reduce 52 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (2728) ~ (all_0_38_38 = e2)
% 108.37/57.63 | (705) all_0_39_39 = e2
% 108.37/57.63 |
% 108.37/57.63 | Combining equations (1252,705) yields a new equation:
% 108.37/57.63 | (621) e2 = e1
% 108.37/57.63 |
% 108.37/57.63 | Equations (621) can reduce 310 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (3095) ~ (all_0_38_38 = e3)
% 108.37/57.63 | (701) all_0_39_39 = e3
% 108.37/57.63 |
% 108.37/57.63 | Equations (701) can reduce 571 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.63 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.37/57.63 |
% 108.37/57.63 +-Applying beta-rule and splitting (1166), into two cases.
% 108.37/57.63 |-Branch one:
% 108.37/57.63 | (829) all_0_19_19 = e1
% 108.37/57.63 |
% 108.37/57.63 | Equations (829) can reduce 943 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.63 |-Branch two:
% 108.37/57.63 | (943) ~ (all_0_19_19 = e1)
% 108.37/57.63 | (1187) all_0_19_19 = e0
% 108.37/57.63 |
% 108.37/57.63 | Equations (1187) can reduce 489 to:
% 108.37/57.63 | (400) $false
% 108.37/57.63 |
% 108.37/57.63 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (1519) ~ (all_0_25_25 = e1)
% 108.37/57.64 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (1701), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (1536) all_0_25_25 = e2
% 108.37/57.64 |
% 108.37/57.64 | Equations (1536) can reduce 473 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (473) ~ (all_0_25_25 = e2)
% 108.37/57.64 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (1705), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (1495) all_0_25_25 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (1495) can reduce 1519 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (1519) ~ (all_0_25_25 = e1)
% 108.37/57.64 | (749) all_0_25_25 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (749) can reduce 1054 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (8464) all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4)
% 108.37/57.64 |
% 108.37/57.64 | Applying alpha-rule on (8464) yields:
% 108.37/57.64 | (3052) all_0_8_8 = all_0_37_37
% 108.37/57.64 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.64 |
% 108.37/57.64 | Equations (847) can reduce 1002 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (3115) ~ (all_0_29_29 = e3)
% 108.37/57.64 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (4794), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (2571) all_0_34_34 = e3
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (601,2571) yields a new equation:
% 108.37/57.64 | (596) e4 = e3
% 108.37/57.64 |
% 108.37/57.64 | Simplifying 596 yields:
% 108.37/57.64 | (597) e4 = e3
% 108.37/57.64 |
% 108.37/57.64 | Equations (597) can reduce 255 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (583) ~ (all_0_34_34 = e3)
% 108.37/57.64 | (701) all_0_39_39 = e3
% 108.37/57.64 |
% 108.37/57.64 | Equations (701) can reduce 571 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (817) ~ (all_0_17_17 = e1)
% 108.37/57.64 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (305), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (969) all_0_15_15 = e1
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (969,736) yields a new equation:
% 108.37/57.64 | (530) e1 = e0
% 108.37/57.64 |
% 108.37/57.64 | Simplifying 530 yields:
% 108.37/57.64 | (531) e1 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (531) can reduce 40 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (679) ~ (all_0_15_15 = e1)
% 108.37/57.64 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (736) can reduce 679 to:
% 108.37/57.64 | (498) ~ (e1 = e0)
% 108.37/57.64 |
% 108.37/57.64 | Simplifying 498 yields:
% 108.37/57.64 | (40) ~ (e1 = e0)
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (1085), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (1094) all_0_22_22 = e1
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (442,1094) yields a new equation:
% 108.37/57.64 | (620) e2 = e1
% 108.37/57.64 |
% 108.37/57.64 | Simplifying 620 yields:
% 108.37/57.64 | (621) e2 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (621) can reduce 310 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (1098) ~ (all_0_22_22 = e1)
% 108.37/57.64 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (1099), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (816) all_0_27_27 = e1
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (995,816) yields a new equation:
% 108.37/57.64 | (531) e1 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (531) can reduce 40 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (857) ~ (all_0_27_27 = e1)
% 108.37/57.64 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (1105), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (1108) all_0_32_32 = e1
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (629,1108) yields a new equation:
% 108.37/57.64 | (1113) e3 = e1
% 108.37/57.64 |
% 108.37/57.64 | Simplifying 1113 yields:
% 108.37/57.64 | (928) e3 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (928) can reduce 298 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (419) ~ (all_0_32_32 = e1)
% 108.37/57.64 | (1112) all_0_37_37 = e1
% 108.37/57.64 |
% 108.37/57.64 | Combining equations (1112,847) yields a new equation:
% 108.37/57.64 | (838) e4 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (838) can reduce 56 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (883) ~ (all_0_28_28 = e4)
% 108.37/57.64 | (941) all_0_29_29 = e4
% 108.37/57.64 |
% 108.37/57.64 | Equations (941) can reduce 603 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (579) ~ (all_0_32_32 = e3)
% 108.37/57.64 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (632), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (625) all_0_32_32 = e2
% 108.37/57.64 |
% 108.37/57.64 | Equations (625) can reduce 448 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (448) ~ (all_0_32_32 = e2)
% 108.37/57.64 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (636), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (1108) all_0_32_32 = e1
% 108.37/57.64 |
% 108.37/57.64 | Equations (1108) can reduce 419 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (419) ~ (all_0_32_32 = e1)
% 108.37/57.64 | (658) all_0_32_32 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (658) can reduce 889 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (660) ~ (all_0_27_27 = e0)
% 108.37/57.64 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 108.37/57.64 |
% 108.37/57.64 +-Applying beta-rule and splitting (4292), into two cases.
% 108.37/57.64 |-Branch one:
% 108.37/57.64 | (658) all_0_32_32 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (658) can reduce 889 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.64 |-Branch two:
% 108.37/57.64 | (889) ~ (all_0_32_32 = e0)
% 108.37/57.64 | (1136) all_0_37_37 = e0
% 108.37/57.64 |
% 108.37/57.64 | Equations (1136) can reduce 538 to:
% 108.37/57.64 | (400) $false
% 108.37/57.64 |
% 108.37/57.64 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (617) ~ (all_0_30_30 = e2)
% 108.37/57.65 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (14452), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (1521) all_0_30_30 = e1
% 108.37/57.65 |
% 108.37/57.65 | Equations (1521) can reduce 417 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (417) ~ (all_0_30_30 = e1)
% 108.37/57.65 | (646) all_0_30_30 = e0
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 650 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4466) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 33 to:
% 108.37/57.65 | (458) ~ (all_0_18_18 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 230 to:
% 108.37/57.65 | (883) ~ (all_0_28_28 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 150 to:
% 108.37/57.65 | (507) ~ (all_0_30_30 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 105 to:
% 108.37/57.65 | (604) ~ (all_0_32_32 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 155 to:
% 108.37/57.65 | (2566) ~ (all_0_34_34 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 2566 yields:
% 108.37/57.65 | (2554) ~ (all_0_34_34 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 199 to:
% 108.37/57.65 | (1834) ~ (all_0_38_38 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 1834 yields:
% 108.37/57.65 | (1835) ~ (all_0_38_38 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 574 to:
% 108.37/57.65 | (255) ~ (e4 = e3)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 436 to:
% 108.37/57.65 | (56) ~ (e4 = e1)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (312), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (594) ~ (all_0_33_33 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 594 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4462) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (71), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (595) all_0_30_30 = e4
% 108.37/57.65 |
% 108.37/57.65 | Equations (595) can reduce 507 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (507) ~ (all_0_30_30 = e4)
% 108.37/57.65 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (49), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (594) ~ (all_0_33_33 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 594 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4478) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (149), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (594) ~ (all_0_33_33 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 594 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4470) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (250), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (1151) all_0_19_19 = e4
% 108.37/57.65 |
% 108.37/57.65 | Equations (1151) can reduce 460 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (460) ~ (all_0_19_19 = e4)
% 108.37/57.65 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (201), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (857) ~ (all_0_27_27 = e1)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (304), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (646) all_0_30_30 = e0
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 3 to:
% 108.37/57.65 | (739) ~ (all_0_15_15 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 62 to:
% 108.37/57.65 | (1054) ~ (all_0_25_25 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 301 to:
% 108.37/57.65 | (11228) ~ (all_0_32_32 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 11228 yields:
% 108.37/57.65 | (889) ~ (all_0_32_32 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 202 to:
% 108.37/57.65 | (494) ~ (all_0_34_34 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 494 yields:
% 108.37/57.65 | (495) ~ (all_0_34_34 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 15 to:
% 108.37/57.65 | (752) ~ (all_0_35_35 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 752 yields:
% 108.37/57.65 | (536) ~ (all_0_35_35 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Equations (646) can reduce 507 to:
% 108.37/57.65 | (543) ~ (e4 = e0)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 543 yields:
% 108.37/57.65 | (267) ~ (e4 = e0)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (107), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (613) all_0_30_30 = e2
% 108.37/57.65 |
% 108.37/57.65 | Combining equations (646,613) yields a new equation:
% 108.37/57.65 | (525) e2 = e0
% 108.37/57.65 |
% 108.37/57.65 | Equations (525) can reduce 336 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (617) ~ (all_0_30_30 = e2)
% 108.37/57.65 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (618), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (619) all_0_31_31 = e2
% 108.37/57.65 |
% 108.37/57.65 | Combining equations (619,414) yields a new equation:
% 108.37/57.65 | (620) e2 = e1
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 620 yields:
% 108.37/57.65 | (621) e2 = e1
% 108.37/57.65 |
% 108.37/57.65 | Equations (621) can reduce 310 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (623) ~ (all_0_31_31 = e2)
% 108.37/57.65 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (236), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (609) all_0_32_32 = e4
% 108.37/57.65 |
% 108.37/57.65 | Equations (609) can reduce 604 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (604) ~ (all_0_32_32 = e4)
% 108.37/57.65 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (624), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (625) all_0_32_32 = e2
% 108.37/57.65 |
% 108.37/57.65 | Equations (625) can reduce 448 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (448) ~ (all_0_32_32 = e2)
% 108.37/57.65 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (628), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (637) all_0_33_33 = e2
% 108.37/57.65 |
% 108.37/57.65 | Combining equations (637,1322) yields a new equation:
% 108.37/57.65 | (798) e4 = e2
% 108.37/57.65 |
% 108.37/57.65 | Equations (798) can reduce 21 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (671) ~ (all_0_33_33 = e2)
% 108.37/57.65 | (2551) all_0_34_34 = e2
% 108.37/57.65 |
% 108.37/57.65 | Equations (2551) can reduce 295 to:
% 108.37/57.65 | (706) ~ (all_0_19_19 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (2551) can reduce 84 to:
% 108.37/57.65 | (479) ~ (all_0_29_29 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (2551) can reduce 132 to:
% 108.37/57.65 | (448) ~ (all_0_32_32 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (2551) can reduce 85 to:
% 108.37/57.65 | (2579) ~ (all_0_39_39 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 2579 yields:
% 108.37/57.65 | (1250) ~ (all_0_39_39 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (2551) can reduce 495 to:
% 108.37/57.65 | (336) ~ (e2 = e0)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (612), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (629) all_0_32_32 = e3
% 108.37/57.65 |
% 108.37/57.65 | Equations (629) can reduce 242 to:
% 108.37/57.65 | (919) ~ (all_0_17_17 = e3)
% 108.37/57.65 |
% 108.37/57.65 | Equations (629) can reduce 170 to:
% 108.37/57.65 | (573) ~ (all_0_27_27 = e3)
% 108.37/57.65 |
% 108.37/57.65 | Equations (629) can reduce 211 to:
% 108.37/57.65 | (6232) ~ (all_0_37_37 = e3)
% 108.37/57.65 |
% 108.37/57.65 | Simplifying 6232 yields:
% 108.37/57.65 | (1127) ~ (all_0_37_37 = e3)
% 108.37/57.65 |
% 108.37/57.65 | Equations (629) can reduce 448 to:
% 108.37/57.65 | (52) ~ (e3 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (629) can reduce 889 to:
% 108.37/57.65 | (80) ~ (e3 = e0)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (77), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (594) ~ (all_0_33_33 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 594 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (275), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (594) ~ (all_0_33_33 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (1322) can reduce 594 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (1322) all_0_33_33 = e4
% 108.37/57.65 | (4355) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (203), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (696) ~ (all_0_39_39 = e1)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (300), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (697) all_0_39_39 = e4
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 94 to:
% 108.37/57.65 | (460) ~ (all_0_19_19 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 291 to:
% 108.37/57.65 | (603) ~ (all_0_29_29 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 63 to:
% 108.37/57.65 | (509) ~ (all_0_35_35 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 24 to:
% 108.37/57.65 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 1250 to:
% 108.37/57.65 | (21) ~ (e4 = e2)
% 108.37/57.65 |
% 108.37/57.65 | Equations (697) can reduce 542 to:
% 108.37/57.65 | (267) ~ (e4 = e0)
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (55), into two cases.
% 108.37/57.65 |-Branch one:
% 108.37/57.65 | (590) all_0_25_25 = e4
% 108.37/57.65 |
% 108.37/57.65 | Equations (590) can reduce 505 to:
% 108.37/57.65 | (400) $false
% 108.37/57.65 |
% 108.37/57.65 |-The branch is then unsatisfiable
% 108.37/57.65 |-Branch two:
% 108.37/57.65 | (505) ~ (all_0_25_25 = e4)
% 108.37/57.65 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 108.37/57.65 |
% 108.37/57.65 +-Applying beta-rule and splitting (59), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (847) all_0_37_37 = e4
% 108.37/57.66 |
% 108.37/57.66 | Equations (847) can reduce 1002 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.66 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (790), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (832) all_0_26_26 = e4
% 108.37/57.66 |
% 108.37/57.66 | Combining equations (471,832) yields a new equation:
% 108.37/57.66 | (798) e4 = e2
% 108.37/57.66 |
% 108.37/57.66 | Equations (798) can reduce 21 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (464) ~ (all_0_26_26 = e4)
% 108.37/57.66 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (836), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (804) all_0_27_27 = e4
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 226 to:
% 108.37/57.66 | (456) ~ (all_0_17_17 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 122 to:
% 108.37/57.66 | (505) ~ (all_0_25_25 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 167 to:
% 108.37/57.66 | (1001) ~ (all_0_37_37 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 1001 yields:
% 108.37/57.66 | (1002) ~ (all_0_37_37 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 573 to:
% 108.37/57.66 | (255) ~ (e4 = e3)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 475 to:
% 108.37/57.66 | (21) ~ (e4 = e2)
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (327), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1184) all_0_17_17 = e0
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 344 to:
% 108.37/57.66 | (739) ~ (all_0_15_15 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 131 to:
% 108.37/57.66 | (3657) ~ (all_0_19_19 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 3657 yields:
% 108.37/57.66 | (489) ~ (all_0_19_19 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 282 to:
% 108.37/57.66 | (537) ~ (all_0_37_37 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 537 yields:
% 108.37/57.66 | (538) ~ (all_0_37_37 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 456 to:
% 108.37/57.66 | (543) ~ (e4 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 543 yields:
% 108.37/57.66 | (267) ~ (e4 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 919 to:
% 108.37/57.66 | (665) ~ (e3 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 665 yields:
% 108.37/57.66 | (80) ~ (e3 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1184) can reduce 396 to:
% 108.37/57.66 | (496) ~ (e2 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 496 yields:
% 108.37/57.66 | (336) ~ (e2 = e0)
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (93), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (749) all_0_25_25 = e0
% 108.37/57.66 |
% 108.37/57.66 | Equations (749) can reduce 1054 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (1054) ~ (all_0_25_25 = e0)
% 108.37/57.66 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1007), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (936) all_0_37_37 = e3
% 108.37/57.66 |
% 108.37/57.66 | Equations (936) can reduce 1127 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (1127) ~ (all_0_37_37 = e3)
% 108.37/57.66 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (5498), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (523) all_0_26_26 = e0
% 108.37/57.66 |
% 108.37/57.66 | Combining equations (471,523) yields a new equation:
% 108.37/57.66 | (524) e2 = e0
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 524 yields:
% 108.37/57.66 | (525) e2 = e0
% 108.37/57.66 |
% 108.37/57.66 | Equations (525) can reduce 336 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (527) ~ (all_0_26_26 = e0)
% 108.37/57.66 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (5504), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (995) all_0_27_27 = e0
% 108.37/57.66 |
% 108.37/57.66 | Combining equations (804,995) yields a new equation:
% 108.37/57.66 | (743) e4 = e0
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 743 yields:
% 108.37/57.66 | (515) e4 = e0
% 108.37/57.66 |
% 108.37/57.66 | Equations (515) can reduce 267 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (660) ~ (all_0_27_27 = e0)
% 108.37/57.66 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1128), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1129) all_0_37_37 = e2
% 108.37/57.66 |
% 108.37/57.66 | Equations (1129) can reduce 450 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (450) ~ (all_0_37_37 = e2)
% 108.37/57.66 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (5510), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1125) all_0_28_28 = e0
% 108.37/57.66 |
% 108.37/57.66 | Equations (1125) can reduce 302 to:
% 108.37/57.66 | (1141) ~ (all_0_18_18 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1125) can reduce 185 to:
% 108.37/57.66 | (1054) ~ (all_0_25_25 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1125) can reduce 477 to:
% 108.37/57.66 | (496) ~ (e2 = e0)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 496 yields:
% 108.37/57.66 | (336) ~ (e2 = e0)
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1132), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1112) all_0_37_37 = e1
% 108.37/57.66 |
% 108.37/57.66 | Equations (1112) can reduce 309 to:
% 108.37/57.66 | (1138) ~ (all_0_35_35 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1112) can reduce 1002 to:
% 108.37/57.66 | (764) ~ (e4 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 764 yields:
% 108.37/57.66 | (56) ~ (e4 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1112) can reduce 1127 to:
% 108.37/57.66 | (824) ~ (e3 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 824 yields:
% 108.37/57.66 | (298) ~ (e3 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1112) can reduce 450 to:
% 108.37/57.66 | (766) ~ (e2 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Simplifying 766 yields:
% 108.37/57.66 | (310) ~ (e2 = e1)
% 108.37/57.66 |
% 108.37/57.66 | Equations (1112) can reduce 538 to:
% 108.37/57.66 | (40) ~ (e1 = e0)
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (31), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (607) ~ (all_0_39_39 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (697) can reduce 607 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (697) all_0_39_39 = e4
% 108.37/57.66 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (95), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (785) ~ (all_0_27_27 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 785 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (804) all_0_27_27 = e4
% 108.37/57.66 | (7643) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (22), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (785) ~ (all_0_27_27 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 785 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (804) all_0_27_27 = e4
% 108.37/57.66 | (7686) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (281), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (785) ~ (all_0_27_27 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 785 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (804) all_0_27_27 = e4
% 108.37/57.66 | (1017) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (287), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (785) ~ (all_0_27_27 = e4)
% 108.37/57.66 |
% 108.37/57.66 | Equations (804) can reduce 785 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (804) all_0_27_27 = e4
% 108.37/57.66 | (14644) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (116), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (769) ~ (all_0_15_15 = e2)
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (179), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (711) all_0_15_15 = e2
% 108.37/57.66 |
% 108.37/57.66 | Equations (711) can reduce 769 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (769) ~ (all_0_15_15 = e2)
% 108.37/57.66 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (158), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (6706) all_0_15_15 = e4
% 108.37/57.66 |
% 108.37/57.66 | Equations (6706) can reduce 501 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (501) ~ (all_0_15_15 = e4)
% 108.37/57.66 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (160), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (711) all_0_15_15 = e2
% 108.37/57.66 |
% 108.37/57.66 | Equations (711) can reduce 769 to:
% 108.37/57.66 | (400) $false
% 108.37/57.66 |
% 108.37/57.66 |-The branch is then unsatisfiable
% 108.37/57.66 |-Branch two:
% 108.37/57.66 | (769) ~ (all_0_15_15 = e2)
% 108.37/57.66 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (251), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1278), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1279), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1280), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1281), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.37/57.66 |
% 108.37/57.66 +-Applying beta-rule and splitting (1282), into two cases.
% 108.37/57.66 |-Branch one:
% 108.37/57.66 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1283), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1284), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1285), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1286), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1287), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1288), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1289), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1290), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1291), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1292), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1293), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1294), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1295), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Applying alpha-rule on (1296) yields:
% 108.47/57.67 | (1297) all_0_15_15 = e3
% 108.47/57.67 | (550) all_0_21_21 = e4
% 108.47/57.67 | (1299) ~ (all_0_16_16 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (550,557) yields a new equation:
% 108.47/57.67 | (596) e4 = e3
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 596 yields:
% 108.47/57.67 | (597) e4 = e3
% 108.47/57.67 |
% 108.47/57.67 | Equations (597) can reduce 255 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Applying alpha-rule on (1303) yields:
% 108.47/57.67 | (1297) all_0_15_15 = e3
% 108.47/57.67 | (550) all_0_21_21 = e4
% 108.47/57.67 | (1306) ~ (all_0_20_20 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (550,557) yields a new equation:
% 108.47/57.67 | (596) e4 = e3
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 596 yields:
% 108.47/57.67 | (597) e4 = e3
% 108.47/57.67 |
% 108.47/57.67 | Equations (597) can reduce 255 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Applying alpha-rule on (1310) yields:
% 108.47/57.67 | (711) all_0_15_15 = e2
% 108.47/57.67 | (804) all_0_27_27 = e4
% 108.47/57.67 | (456) ~ (all_0_17_17 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Equations (711) can reduce 769 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Applying alpha-rule on (1315) yields:
% 108.47/57.67 | (711) all_0_15_15 = e2
% 108.47/57.67 | (804) all_0_27_27 = e4
% 108.47/57.67 | (473) ~ (all_0_25_25 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Equations (711) can reduce 769 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Applying alpha-rule on (1320) yields:
% 108.47/57.67 | (969) all_0_15_15 = e1
% 108.47/57.67 | (1322) all_0_33_33 = e4
% 108.47/57.67 | (458) ~ (all_0_18_18 = e4)
% 108.47/57.67 |
% 108.47/57.67 | Equations (969) can reduce 90 to:
% 108.47/57.67 | (1549) ~ (all_0_18_18 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 1549 yields:
% 108.47/57.67 | (428) ~ (all_0_18_18 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Equations (969) can reduce 319 to:
% 108.47/57.67 | (3853) ~ (all_0_19_19 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 3853 yields:
% 108.47/57.67 | (943) ~ (all_0_19_19 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Equations (969) can reduce 39 to:
% 108.47/57.67 | (3855) ~ (all_0_35_35 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 3855 yields:
% 108.47/57.67 | (1138) ~ (all_0_35_35 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Equations (969) can reduce 501 to:
% 108.47/57.67 | (764) ~ (e4 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 764 yields:
% 108.47/57.67 | (56) ~ (e4 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Equations (969) can reduce 739 to:
% 108.47/57.67 | (40) ~ (e1 = e0)
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (262), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (829) all_0_19_19 = e1
% 108.47/57.67 |
% 108.47/57.67 | Equations (829) can reduce 943 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (943) ~ (all_0_19_19 = e1)
% 108.47/57.67 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (944), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (8658) all_0_24_24 = e1
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (8658,488) yields a new equation:
% 108.47/57.67 | (530) e1 = e0
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 530 yields:
% 108.47/57.67 | (531) e1 = e0
% 108.47/57.67 |
% 108.47/57.67 | Equations (531) can reduce 40 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (432) ~ (all_0_24_24 = e1)
% 108.47/57.67 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (332), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1151) all_0_19_19 = e4
% 108.47/57.67 |
% 108.47/57.67 | Equations (1151) can reduce 460 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (460) ~ (all_0_19_19 = e4)
% 108.47/57.67 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1154), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1159) all_0_19_19 = e3
% 108.47/57.67 |
% 108.47/57.67 | Equations (1159) can reduce 172 to:
% 108.47/57.67 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Equations (1159) can reduce 174 to:
% 108.47/57.67 | (3114) ~ (all_0_29_29 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 3114 yields:
% 108.47/57.67 | (3115) ~ (all_0_29_29 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Equations (1159) can reduce 460 to:
% 108.47/57.67 | (558) ~ (e4 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 558 yields:
% 108.47/57.67 | (255) ~ (e4 = e3)
% 108.47/57.67 |
% 108.47/57.67 | Equations (1159) can reduce 706 to:
% 108.47/57.67 | (52) ~ (e3 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Equations (1159) can reduce 489 to:
% 108.47/57.67 | (80) ~ (e3 = e0)
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (102), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1147) all_0_18_18 = e3
% 108.47/57.67 |
% 108.47/57.67 | Equations (1147) can reduce 1189 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.67 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1529), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1530) all_0_20_20 = e2
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (1530,500) yields a new equation:
% 108.47/57.67 | (798) e4 = e2
% 108.47/57.67 |
% 108.47/57.67 | Equations (798) can reduce 21 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (444) ~ (all_0_20_20 = e2)
% 108.47/57.67 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (8663), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (4599) all_0_29_29 = e1
% 108.47/57.67 |
% 108.47/57.67 | Equations (4599) can reduce 3115 to:
% 108.47/57.67 | (824) ~ (e3 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 824 yields:
% 108.47/57.67 | (298) ~ (e3 = e1)
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1535), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (1536) all_0_25_25 = e2
% 108.47/57.67 |
% 108.47/57.67 | Equations (1536) can reduce 473 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (473) ~ (all_0_25_25 = e2)
% 108.47/57.67 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1539), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (613) all_0_30_30 = e2
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (646,613) yields a new equation:
% 108.47/57.67 | (525) e2 = e0
% 108.47/57.67 |
% 108.47/57.67 | Equations (525) can reduce 336 to:
% 108.47/57.67 | (400) $false
% 108.47/57.67 |
% 108.47/57.67 |-The branch is then unsatisfiable
% 108.47/57.67 |-Branch two:
% 108.47/57.67 | (617) ~ (all_0_30_30 = e2)
% 108.47/57.67 | (732) all_0_35_35 = e2
% 108.47/57.67 |
% 108.47/57.67 | Equations (732) can reduce 210 to:
% 108.47/57.67 | (2727) ~ (all_0_38_38 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 2727 yields:
% 108.47/57.67 | (2728) ~ (all_0_38_38 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Equations (732) can reduce 509 to:
% 108.47/57.67 | (482) ~ (e4 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 482 yields:
% 108.47/57.67 | (21) ~ (e4 = e2)
% 108.47/57.67 |
% 108.47/57.67 | Equations (732) can reduce 1138 to:
% 108.47/57.67 | (310) ~ (e2 = e1)
% 108.47/57.67 |
% 108.47/57.67 | Equations (732) can reduce 536 to:
% 108.47/57.67 | (336) ~ (e2 = e0)
% 108.47/57.67 |
% 108.47/57.67 +-Applying beta-rule and splitting (1742), into two cases.
% 108.47/57.67 |-Branch one:
% 108.47/57.67 | (3107) all_0_23_23 = e3
% 108.47/57.67 |
% 108.47/57.67 | Combining equations (3107,427) yields a new equation:
% 108.47/57.67 | (1113) e3 = e1
% 108.47/57.67 |
% 108.47/57.67 | Simplifying 1113 yields:
% 108.47/57.67 | (928) e3 = e1
% 108.47/57.67 |
% 108.47/57.68 | Equations (928) can reduce 298 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (1361) ~ (all_0_23_23 = e3)
% 108.47/57.68 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (6683), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (6785) all_0_20_20 = e3
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (500,6785) yields a new equation:
% 108.47/57.68 | (596) e4 = e3
% 108.47/57.68 |
% 108.47/57.68 | Simplifying 596 yields:
% 108.47/57.68 | (597) e4 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (597) can reduce 255 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (1306) ~ (all_0_20_20 = e3)
% 108.47/57.68 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (6789), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1698) all_0_25_25 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (1698) can reduce 505 to:
% 108.47/57.68 | (558) ~ (e4 = e3)
% 108.47/57.68 |
% 108.47/57.68 | Simplifying 558 yields:
% 108.47/57.68 | (255) ~ (e4 = e3)
% 108.47/57.68 |
% 108.47/57.68 | Equations (1698) can reduce 1054 to:
% 108.47/57.68 | (80) ~ (e3 = e0)
% 108.47/57.68 |
% 108.47/57.68 | From (1698) and (311) follows:
% 108.47/57.68 | (11701) op(e2, e4) = e3
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (1235), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1236) all_0_16_16 = e2
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (1236,454) yields a new equation:
% 108.47/57.68 | (798) e4 = e2
% 108.47/57.68 |
% 108.47/57.68 | Equations (798) can reduce 21 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (1239) ~ (all_0_16_16 = e2)
% 108.47/57.68 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.47/57.68 |
% 108.47/57.68 | Equations (454) can reduce 1239 to:
% 108.47/57.68 | (21) ~ (e4 = e2)
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (3112), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1106) all_0_28_28 = e3
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (1125,1106) yields a new equation:
% 108.47/57.68 | (648) e3 = e0
% 108.47/57.68 |
% 108.47/57.68 | Equations (648) can reduce 80 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (893) ~ (all_0_28_28 = e3)
% 108.47/57.68 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (197), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (679) ~ (all_0_15_15 = e1)
% 108.47/57.68 |
% 108.47/57.68 | Equations (969) can reduce 679 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (969) all_0_15_15 = e1
% 108.47/57.68 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (3201), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1360) all_0_33_33 = e3
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (1322,1360) yields a new equation:
% 108.47/57.68 | (596) e4 = e3
% 108.47/57.68 |
% 108.47/57.68 | Simplifying 596 yields:
% 108.47/57.68 | (597) e4 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (597) can reduce 255 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (574) ~ (all_0_33_33 = e3)
% 108.47/57.68 | (3208) all_0_38_38 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (3208) can reduce 38 to:
% 108.47/57.68 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.68 |
% 108.47/57.68 | Equations (3208) can reduce 2728 to:
% 108.47/57.68 | (52) ~ (e3 = e2)
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (14793), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (14802) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (14802), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.68 |
% 108.47/57.68 | Applying alpha-rule on (1783) yields:
% 108.47/57.68 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.68 | (1785) ~ (all_0_12_12 = e2)
% 108.47/57.68 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (342), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1008) all_0_18_18 = e4
% 108.47/57.68 |
% 108.47/57.68 | Equations (1008) can reduce 458 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (458) ~ (all_0_18_18 = e4)
% 108.47/57.68 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (1146), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1147) all_0_18_18 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (1147) can reduce 1189 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.68 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (54), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (1191) all_0_18_18 = e2
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (1191,1565) yields a new equation:
% 108.47/57.68 | (3903) all_0_13_13 = e2
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (8), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (679) ~ (all_0_15_15 = e1)
% 108.47/57.68 |
% 108.47/57.68 | Equations (969) can reduce 679 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.68 | (969) all_0_15_15 = e1
% 108.47/57.68 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (14820), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.47/57.68 |
% 108.47/57.68 +-Applying beta-rule and splitting (14821), into two cases.
% 108.47/57.68 |-Branch one:
% 108.47/57.68 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.68 |
% 108.47/57.68 | Applying alpha-rule on (14822) yields:
% 108.47/57.68 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.68 | (1039) ~ (all_0_12_12 = e3)
% 108.47/57.68 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.68 |
% 108.47/57.68 | Combining equations (1565,3903) yields a new equation:
% 108.47/57.68 | (3913) all_0_18_18 = e2
% 108.47/57.68 |
% 108.47/57.68 | Simplifying 3913 yields:
% 108.47/57.68 | (1191) all_0_18_18 = e2
% 108.47/57.68 |
% 108.47/57.68 | From (1191) and (1567) follows:
% 108.47/57.68 | (3915) op(e2, e4) = all_0_12_12
% 108.47/57.68 |
% 108.47/57.68 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.47/57.68 | (1044) all_0_12_12 = e3
% 108.47/57.68 |
% 108.47/57.68 | Equations (1044) can reduce 1039 to:
% 108.47/57.68 | (400) $false
% 108.47/57.68 |
% 108.47/57.68 |-The branch is then unsatisfiable
% 108.47/57.68 |-Branch two:
% 108.47/57.69 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.47/57.69 |
% 108.47/57.69 | Applying alpha-rule on (2052) yields:
% 108.47/57.69 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.69 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.69 |
% 108.47/57.69 | Combining equations (1565,3903) yields a new equation:
% 108.47/57.69 | (3913) all_0_18_18 = e2
% 108.47/57.69 |
% 108.47/57.69 | Simplifying 3913 yields:
% 108.47/57.69 | (1191) all_0_18_18 = e2
% 108.47/57.69 |
% 108.47/57.69 | Equations (1191) can reduce 638 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.47/57.69 |
% 108.47/57.69 | Applying alpha-rule on (14837) yields:
% 108.47/57.69 | (1799) all_0_14_14 = all_0_30_30
% 108.47/57.69 | (650) ~ (all_0_30_30 = e0)
% 108.47/57.69 |
% 108.47/57.69 | Equations (646) can reduce 650 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.69 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (1190), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (1191) all_0_18_18 = e2
% 108.47/57.69 |
% 108.47/57.69 | Equations (1191) can reduce 638 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.69 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (1194), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (984) all_0_18_18 = e1
% 108.47/57.69 |
% 108.47/57.69 | Equations (984) can reduce 428 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (428) ~ (all_0_18_18 = e1)
% 108.47/57.69 | (756) all_0_18_18 = e0
% 108.47/57.69 |
% 108.47/57.69 | Equations (756) can reduce 1141 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (14852) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 108.47/57.69 |
% 108.47/57.69 | Applying alpha-rule on (14852) yields:
% 108.47/57.69 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.69 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (8), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (679) ~ (all_0_15_15 = e1)
% 108.47/57.69 |
% 108.47/57.69 | Equations (969) can reduce 679 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (969) all_0_15_15 = e1
% 108.47/57.69 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (14820), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (14821), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.69 |
% 108.47/57.69 | Applying alpha-rule on (14822) yields:
% 108.47/57.69 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.69 | (1039) ~ (all_0_12_12 = e3)
% 108.47/57.69 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (54), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (1191) all_0_18_18 = e2
% 108.47/57.69 |
% 108.47/57.69 | From (1191) and (1567) follows:
% 108.47/57.69 | (3915) op(e2, e4) = all_0_12_12
% 108.47/57.69 |
% 108.47/57.69 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.47/57.69 | (1044) all_0_12_12 = e3
% 108.47/57.69 |
% 108.47/57.69 | Equations (1044) can reduce 1039 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.69 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (3929), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (6267) all_0_23_23 = e2
% 108.47/57.69 |
% 108.47/57.69 | Combining equations (6267,427) yields a new equation:
% 108.47/57.69 | (620) e2 = e1
% 108.47/57.69 |
% 108.47/57.69 | Simplifying 620 yields:
% 108.47/57.69 | (621) e2 = e1
% 108.47/57.69 |
% 108.47/57.69 | Equations (621) can reduce 310 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (6271) ~ (all_0_23_23 = e2)
% 108.47/57.69 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (6272), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (1118) all_0_28_28 = e2
% 108.47/57.69 |
% 108.47/57.69 | Combining equations (1125,1118) yields a new equation:
% 108.47/57.69 | (525) e2 = e0
% 108.47/57.69 |
% 108.47/57.69 | Equations (525) can reduce 336 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (477) ~ (all_0_28_28 = e2)
% 108.47/57.69 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 108.47/57.69 |
% 108.47/57.69 +-Applying beta-rule and splitting (6293), into two cases.
% 108.47/57.69 |-Branch one:
% 108.47/57.69 | (637) all_0_33_33 = e2
% 108.47/57.69 |
% 108.47/57.69 | Combining equations (1322,637) yields a new equation:
% 108.47/57.69 | (1531) e4 = e2
% 108.47/57.69 |
% 108.47/57.69 | Simplifying 1531 yields:
% 108.47/57.69 | (798) e4 = e2
% 108.47/57.69 |
% 108.47/57.69 | Equations (798) can reduce 21 to:
% 108.47/57.69 | (400) $false
% 108.47/57.69 |
% 108.47/57.69 |-The branch is then unsatisfiable
% 108.47/57.69 |-Branch two:
% 108.47/57.69 | (671) ~ (all_0_33_33 = e2)
% 108.47/57.69 | (3218) all_0_38_38 = e2
% 108.47/57.69 |
% 108.47/57.70 | Combining equations (3218,3208) yields a new equation:
% 108.47/57.70 | (615) e3 = e2
% 108.47/57.70 |
% 108.47/57.70 | Equations (615) can reduce 52 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.47/57.70 |
% 108.47/57.70 | Applying alpha-rule on (2052) yields:
% 108.47/57.70 | (1565) all_0_13_13 = all_0_18_18
% 108.47/57.70 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.70 |
% 108.47/57.70 +-Applying beta-rule and splitting (342), into two cases.
% 108.47/57.70 |-Branch one:
% 108.47/57.70 | (1008) all_0_18_18 = e4
% 108.47/57.70 |
% 108.47/57.70 | Equations (1008) can reduce 458 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (458) ~ (all_0_18_18 = e4)
% 108.47/57.70 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.70 |
% 108.47/57.70 +-Applying beta-rule and splitting (54), into two cases.
% 108.47/57.70 |-Branch one:
% 108.47/57.70 | (1191) all_0_18_18 = e2
% 108.47/57.70 |
% 108.47/57.70 | Equations (1191) can reduce 638 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.70 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.47/57.70 |
% 108.47/57.70 +-Applying beta-rule and splitting (1146), into two cases.
% 108.47/57.70 |-Branch one:
% 108.47/57.70 | (1147) all_0_18_18 = e3
% 108.47/57.70 |
% 108.47/57.70 | Equations (1147) can reduce 1189 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (1189) ~ (all_0_18_18 = e3)
% 108.47/57.70 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.70 |
% 108.47/57.70 +-Applying beta-rule and splitting (1190), into two cases.
% 108.47/57.70 |-Branch one:
% 108.47/57.70 | (1191) all_0_18_18 = e2
% 108.47/57.70 |
% 108.47/57.70 | Equations (1191) can reduce 638 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (638) ~ (all_0_18_18 = e2)
% 108.47/57.70 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.47/57.70 |
% 108.47/57.70 +-Applying beta-rule and splitting (1194), into two cases.
% 108.47/57.70 |-Branch one:
% 108.47/57.70 | (984) all_0_18_18 = e1
% 108.47/57.70 |
% 108.47/57.70 | Equations (984) can reduce 428 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.47/57.70 |-Branch two:
% 108.47/57.70 | (428) ~ (all_0_18_18 = e1)
% 108.47/57.70 | (756) all_0_18_18 = e0
% 108.47/57.70 |
% 108.47/57.70 | Equations (756) can reduce 1141 to:
% 108.47/57.70 | (400) $false
% 108.47/57.70 |
% 108.47/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.50/57.70 |
% 108.50/57.70 | Applying alpha-rule on (14837) yields:
% 108.50/57.70 | (1799) all_0_14_14 = all_0_30_30
% 108.50/57.70 | (650) ~ (all_0_30_30 = e0)
% 108.50/57.70 |
% 108.50/57.70 | Equations (646) can reduce 650 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.50/57.70 |
% 108.50/57.70 | Applying alpha-rule on (14837) yields:
% 108.50/57.70 | (1799) all_0_14_14 = all_0_30_30
% 108.50/57.70 | (650) ~ (all_0_30_30 = e0)
% 108.50/57.70 |
% 108.50/57.70 | Equations (646) can reduce 650 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (577) ~ (all_0_25_25 = e3)
% 108.50/57.70 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 108.50/57.70 |
% 108.50/57.70 +-Applying beta-rule and splitting (7020), into two cases.
% 108.50/57.70 |-Branch one:
% 108.50/57.70 | (575) all_0_30_30 = e3
% 108.50/57.70 |
% 108.50/57.70 | Combining equations (646,575) yields a new equation:
% 108.50/57.70 | (648) e3 = e0
% 108.50/57.70 |
% 108.50/57.70 | Equations (648) can reduce 80 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (1800) ~ (all_0_30_30 = e3)
% 108.50/57.70 | (728) all_0_35_35 = e3
% 108.50/57.70 |
% 108.50/57.70 | Combining equations (732,728) yields a new equation:
% 108.50/57.70 | (615) e3 = e2
% 108.50/57.70 |
% 108.50/57.70 | Equations (615) can reduce 52 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (2946) ~ (all_0_29_29 = e1)
% 108.50/57.70 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.50/57.70 |
% 108.50/57.70 +-Applying beta-rule and splitting (1535), into two cases.
% 108.50/57.70 |-Branch one:
% 108.50/57.70 | (1536) all_0_25_25 = e2
% 108.50/57.70 |
% 108.50/57.70 | Equations (1536) can reduce 473 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (473) ~ (all_0_25_25 = e2)
% 108.50/57.70 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 108.50/57.70 |
% 108.50/57.70 +-Applying beta-rule and splitting (1539), into two cases.
% 108.50/57.70 |-Branch one:
% 108.50/57.70 | (613) all_0_30_30 = e2
% 108.50/57.70 |
% 108.50/57.70 | Combining equations (646,613) yields a new equation:
% 108.50/57.70 | (525) e2 = e0
% 108.50/57.70 |
% 108.50/57.70 | Equations (525) can reduce 336 to:
% 108.50/57.70 | (400) $false
% 108.50/57.70 |
% 108.50/57.70 |-The branch is then unsatisfiable
% 108.50/57.70 |-Branch two:
% 108.50/57.70 | (617) ~ (all_0_30_30 = e2)
% 108.50/57.70 | (732) all_0_35_35 = e2
% 108.50/57.70 |
% 108.50/57.70 | Equations (732) can reduce 1138 to:
% 108.50/57.70 | (310) ~ (e2 = e1)
% 108.50/57.70 |
% 108.50/57.70 +-Applying beta-rule and splitting (11125), into two cases.
% 108.50/57.70 |-Branch one:
% 108.50/57.71 | (4342) all_0_34_34 = e1
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (2551,4342) yields a new equation:
% 108.50/57.71 | (620) e2 = e1
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 620 yields:
% 108.50/57.71 | (621) e2 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (621) can reduce 310 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (421) ~ (all_0_34_34 = e1)
% 108.50/57.71 | (1252) all_0_39_39 = e1
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (1252,697) yields a new equation:
% 108.50/57.71 | (838) e4 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (838) can reduce 56 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (1150) ~ (all_0_19_19 = e3)
% 108.50/57.71 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1162), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1163) all_0_19_19 = e2
% 108.50/57.71 |
% 108.50/57.71 | Equations (1163) can reduce 706 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (706) ~ (all_0_19_19 = e2)
% 108.50/57.71 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1166), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (829) all_0_19_19 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (829) can reduce 943 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (943) ~ (all_0_19_19 = e1)
% 108.50/57.71 | (1187) all_0_19_19 = e0
% 108.50/57.71 |
% 108.50/57.71 | Equations (1187) can reduce 489 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Applying alpha-rule on (1326) yields:
% 108.50/57.71 | (969) all_0_15_15 = e1
% 108.50/57.71 | (1322) all_0_33_33 = e4
% 108.50/57.71 | (417) ~ (all_0_30_30 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (969) can reduce 90 to:
% 108.50/57.71 | (1549) ~ (all_0_18_18 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 1549 yields:
% 108.50/57.71 | (428) ~ (all_0_18_18 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (969) can reduce 319 to:
% 108.50/57.71 | (3853) ~ (all_0_19_19 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 3853 yields:
% 108.50/57.71 | (943) ~ (all_0_19_19 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (969) can reduce 39 to:
% 108.50/57.71 | (3855) ~ (all_0_35_35 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 3855 yields:
% 108.50/57.71 | (1138) ~ (all_0_35_35 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (969) can reduce 501 to:
% 108.50/57.71 | (764) ~ (e4 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 764 yields:
% 108.50/57.71 | (56) ~ (e4 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (646) can reduce 417 to:
% 108.50/57.71 | (498) ~ (e1 = e0)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 498 yields:
% 108.50/57.71 | (40) ~ (e1 = e0)
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (262), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (829) all_0_19_19 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (829) can reduce 943 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (943) ~ (all_0_19_19 = e1)
% 108.50/57.71 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (944), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (8658) all_0_24_24 = e1
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (8658,488) yields a new equation:
% 108.50/57.71 | (530) e1 = e0
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 530 yields:
% 108.50/57.71 | (531) e1 = e0
% 108.50/57.71 |
% 108.50/57.71 | Equations (531) can reduce 40 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (432) ~ (all_0_24_24 = e1)
% 108.50/57.71 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (332), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1151) all_0_19_19 = e4
% 108.50/57.71 |
% 108.50/57.71 | Equations (1151) can reduce 460 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (460) ~ (all_0_19_19 = e4)
% 108.50/57.71 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1154), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1159) all_0_19_19 = e3
% 108.50/57.71 |
% 108.50/57.71 | Equations (1159) can reduce 172 to:
% 108.50/57.71 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Equations (1159) can reduce 174 to:
% 108.50/57.71 | (3114) ~ (all_0_29_29 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 3114 yields:
% 108.50/57.71 | (3115) ~ (all_0_29_29 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Equations (1159) can reduce 460 to:
% 108.50/57.71 | (558) ~ (e4 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 558 yields:
% 108.50/57.71 | (255) ~ (e4 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Equations (1159) can reduce 706 to:
% 108.50/57.71 | (52) ~ (e3 = e2)
% 108.50/57.71 |
% 108.50/57.71 | Equations (1159) can reduce 489 to:
% 108.50/57.71 | (80) ~ (e3 = e0)
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (102), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1147) all_0_18_18 = e3
% 108.50/57.71 |
% 108.50/57.71 | Equations (1147) can reduce 1189 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.71 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1529), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1530) all_0_20_20 = e2
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (1530,500) yields a new equation:
% 108.50/57.71 | (798) e4 = e2
% 108.50/57.71 |
% 108.50/57.71 | Equations (798) can reduce 21 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (444) ~ (all_0_20_20 = e2)
% 108.50/57.71 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (8663), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (4599) all_0_29_29 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (4599) can reduce 3115 to:
% 108.50/57.71 | (824) ~ (e3 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 824 yields:
% 108.50/57.71 | (298) ~ (e3 = e1)
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1535), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1536) all_0_25_25 = e2
% 108.50/57.71 |
% 108.50/57.71 | Equations (1536) can reduce 473 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (473) ~ (all_0_25_25 = e2)
% 108.50/57.71 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1539), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (613) all_0_30_30 = e2
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (646,613) yields a new equation:
% 108.50/57.71 | (525) e2 = e0
% 108.50/57.71 |
% 108.50/57.71 | Equations (525) can reduce 336 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (617) ~ (all_0_30_30 = e2)
% 108.50/57.71 | (732) all_0_35_35 = e2
% 108.50/57.71 |
% 108.50/57.71 | Equations (732) can reduce 210 to:
% 108.50/57.71 | (2727) ~ (all_0_38_38 = e2)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 2727 yields:
% 108.50/57.71 | (2728) ~ (all_0_38_38 = e2)
% 108.50/57.71 |
% 108.50/57.71 | Equations (732) can reduce 509 to:
% 108.50/57.71 | (482) ~ (e4 = e2)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 482 yields:
% 108.50/57.71 | (21) ~ (e4 = e2)
% 108.50/57.71 |
% 108.50/57.71 | Equations (732) can reduce 1138 to:
% 108.50/57.71 | (310) ~ (e2 = e1)
% 108.50/57.71 |
% 108.50/57.71 | Equations (732) can reduce 536 to:
% 108.50/57.71 | (336) ~ (e2 = e0)
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (1742), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (3107) all_0_23_23 = e3
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (3107,427) yields a new equation:
% 108.50/57.71 | (1113) e3 = e1
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 1113 yields:
% 108.50/57.71 | (928) e3 = e1
% 108.50/57.71 |
% 108.50/57.71 | Equations (928) can reduce 298 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (1361) ~ (all_0_23_23 = e3)
% 108.50/57.71 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (6683), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (6785) all_0_20_20 = e3
% 108.50/57.71 |
% 108.50/57.71 | Combining equations (500,6785) yields a new equation:
% 108.50/57.71 | (596) e4 = e3
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 596 yields:
% 108.50/57.71 | (597) e4 = e3
% 108.50/57.71 |
% 108.50/57.71 | Equations (597) can reduce 255 to:
% 108.50/57.71 | (400) $false
% 108.50/57.71 |
% 108.50/57.71 |-The branch is then unsatisfiable
% 108.50/57.71 |-Branch two:
% 108.50/57.71 | (1306) ~ (all_0_20_20 = e3)
% 108.50/57.71 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.50/57.71 |
% 108.50/57.71 +-Applying beta-rule and splitting (6789), into two cases.
% 108.50/57.71 |-Branch one:
% 108.50/57.71 | (1698) all_0_25_25 = e3
% 108.50/57.71 |
% 108.50/57.71 | Equations (1698) can reduce 505 to:
% 108.50/57.71 | (558) ~ (e4 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Simplifying 558 yields:
% 108.50/57.71 | (255) ~ (e4 = e3)
% 108.50/57.71 |
% 108.50/57.71 | Equations (1698) can reduce 1054 to:
% 108.50/57.71 | (80) ~ (e3 = e0)
% 108.50/57.71 |
% 108.50/57.71 | From (1698) and (311) follows:
% 108.50/57.72 | (11701) op(e2, e4) = e3
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (1235), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1236) all_0_16_16 = e2
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1236,454) yields a new equation:
% 108.50/57.72 | (798) e4 = e2
% 108.50/57.72 |
% 108.50/57.72 | Equations (798) can reduce 21 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (1239) ~ (all_0_16_16 = e2)
% 108.50/57.72 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.50/57.72 |
% 108.50/57.72 | Equations (454) can reduce 1239 to:
% 108.50/57.72 | (21) ~ (e4 = e2)
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (3112), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1106) all_0_28_28 = e3
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1125,1106) yields a new equation:
% 108.50/57.72 | (648) e3 = e0
% 108.50/57.72 |
% 108.50/57.72 | Equations (648) can reduce 80 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (893) ~ (all_0_28_28 = e3)
% 108.50/57.72 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (197), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (679) ~ (all_0_15_15 = e1)
% 108.50/57.72 |
% 108.50/57.72 | Equations (969) can reduce 679 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (969) all_0_15_15 = e1
% 108.50/57.72 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (3201), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1360) all_0_33_33 = e3
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1322,1360) yields a new equation:
% 108.50/57.72 | (596) e4 = e3
% 108.50/57.72 |
% 108.50/57.72 | Simplifying 596 yields:
% 108.50/57.72 | (597) e4 = e3
% 108.50/57.72 |
% 108.50/57.72 | Equations (597) can reduce 255 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (574) ~ (all_0_33_33 = e3)
% 108.50/57.72 | (3208) all_0_38_38 = e3
% 108.50/57.72 |
% 108.50/57.72 | Equations (3208) can reduce 38 to:
% 108.50/57.72 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.72 |
% 108.50/57.72 | Equations (3208) can reduce 2728 to:
% 108.50/57.72 | (52) ~ (e3 = e2)
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (14793), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (14802) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (14802), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.72 |
% 108.50/57.72 | Applying alpha-rule on (1783) yields:
% 108.50/57.72 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.72 | (1785) ~ (all_0_12_12 = e2)
% 108.50/57.72 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (342), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1008) all_0_18_18 = e4
% 108.50/57.72 |
% 108.50/57.72 | Equations (1008) can reduce 458 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (458) ~ (all_0_18_18 = e4)
% 108.50/57.72 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (1146), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1147) all_0_18_18 = e3
% 108.50/57.72 |
% 108.50/57.72 | Equations (1147) can reduce 1189 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.72 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (54), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (1191) all_0_18_18 = e2
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1191,1565) yields a new equation:
% 108.50/57.72 | (3903) all_0_13_13 = e2
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (8), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (679) ~ (all_0_15_15 = e1)
% 108.50/57.72 |
% 108.50/57.72 | Equations (969) can reduce 679 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (969) all_0_15_15 = e1
% 108.50/57.72 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (14820), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.50/57.72 |
% 108.50/57.72 +-Applying beta-rule and splitting (14821), into two cases.
% 108.50/57.72 |-Branch one:
% 108.50/57.72 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.72 |
% 108.50/57.72 | Applying alpha-rule on (14822) yields:
% 108.50/57.72 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.72 | (1039) ~ (all_0_12_12 = e3)
% 108.50/57.72 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1565,3903) yields a new equation:
% 108.50/57.72 | (3913) all_0_18_18 = e2
% 108.50/57.72 |
% 108.50/57.72 | Simplifying 3913 yields:
% 108.50/57.72 | (1191) all_0_18_18 = e2
% 108.50/57.72 |
% 108.50/57.72 | From (1191) and (1567) follows:
% 108.50/57.72 | (3915) op(e2, e4) = all_0_12_12
% 108.50/57.72 |
% 108.50/57.72 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.50/57.72 | (1044) all_0_12_12 = e3
% 108.50/57.72 |
% 108.50/57.72 | Equations (1044) can reduce 1039 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.50/57.72 |
% 108.50/57.72 | Applying alpha-rule on (2052) yields:
% 108.50/57.72 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.72 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.72 |
% 108.50/57.72 | Combining equations (1565,3903) yields a new equation:
% 108.50/57.72 | (3913) all_0_18_18 = e2
% 108.50/57.72 |
% 108.50/57.72 | Simplifying 3913 yields:
% 108.50/57.72 | (1191) all_0_18_18 = e2
% 108.50/57.72 |
% 108.50/57.72 | Equations (1191) can reduce 638 to:
% 108.50/57.72 | (400) $false
% 108.50/57.72 |
% 108.50/57.72 |-The branch is then unsatisfiable
% 108.50/57.72 |-Branch two:
% 108.50/57.72 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.50/57.72 |
% 108.50/57.73 | Applying alpha-rule on (14837) yields:
% 108.50/57.73 | (1799) all_0_14_14 = all_0_30_30
% 108.50/57.73 | (650) ~ (all_0_30_30 = e0)
% 108.50/57.73 |
% 108.50/57.73 | Equations (646) can reduce 650 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.73 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (1190), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (1191) all_0_18_18 = e2
% 108.50/57.73 |
% 108.50/57.73 | Equations (1191) can reduce 638 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.73 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (1194), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (984) all_0_18_18 = e1
% 108.50/57.73 |
% 108.50/57.73 | Equations (984) can reduce 428 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (428) ~ (all_0_18_18 = e1)
% 108.50/57.73 | (756) all_0_18_18 = e0
% 108.50/57.73 |
% 108.50/57.73 | Equations (756) can reduce 1141 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (14852) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 108.50/57.73 |
% 108.50/57.73 | Applying alpha-rule on (14852) yields:
% 108.50/57.73 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.73 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (8), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (679) ~ (all_0_15_15 = e1)
% 108.50/57.73 |
% 108.50/57.73 | Equations (969) can reduce 679 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (969) all_0_15_15 = e1
% 108.50/57.73 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (14820), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (14821), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.73 |
% 108.50/57.73 | Applying alpha-rule on (14822) yields:
% 108.50/57.73 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.73 | (1039) ~ (all_0_12_12 = e3)
% 108.50/57.73 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (54), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (1191) all_0_18_18 = e2
% 108.50/57.73 |
% 108.50/57.73 | From (1191) and (1567) follows:
% 108.50/57.73 | (3915) op(e2, e4) = all_0_12_12
% 108.50/57.73 |
% 108.50/57.73 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.50/57.73 | (1044) all_0_12_12 = e3
% 108.50/57.73 |
% 108.50/57.73 | Equations (1044) can reduce 1039 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.73 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (3929), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (6267) all_0_23_23 = e2
% 108.50/57.73 |
% 108.50/57.73 | Combining equations (6267,427) yields a new equation:
% 108.50/57.73 | (620) e2 = e1
% 108.50/57.73 |
% 108.50/57.73 | Simplifying 620 yields:
% 108.50/57.73 | (621) e2 = e1
% 108.50/57.73 |
% 108.50/57.73 | Equations (621) can reduce 310 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (6271) ~ (all_0_23_23 = e2)
% 108.50/57.73 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (6272), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (1118) all_0_28_28 = e2
% 108.50/57.73 |
% 108.50/57.73 | Combining equations (1125,1118) yields a new equation:
% 108.50/57.73 | (525) e2 = e0
% 108.50/57.73 |
% 108.50/57.73 | Equations (525) can reduce 336 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (477) ~ (all_0_28_28 = e2)
% 108.50/57.73 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (6293), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (637) all_0_33_33 = e2
% 108.50/57.73 |
% 108.50/57.73 | Combining equations (1322,637) yields a new equation:
% 108.50/57.73 | (1531) e4 = e2
% 108.50/57.73 |
% 108.50/57.73 | Simplifying 1531 yields:
% 108.50/57.73 | (798) e4 = e2
% 108.50/57.73 |
% 108.50/57.73 | Equations (798) can reduce 21 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (671) ~ (all_0_33_33 = e2)
% 108.50/57.73 | (3218) all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 | Combining equations (3218,3208) yields a new equation:
% 108.50/57.73 | (615) e3 = e2
% 108.50/57.73 |
% 108.50/57.73 | Equations (615) can reduce 52 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.50/57.73 |
% 108.50/57.73 | Applying alpha-rule on (2052) yields:
% 108.50/57.73 | (1565) all_0_13_13 = all_0_18_18
% 108.50/57.73 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (342), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (1008) all_0_18_18 = e4
% 108.50/57.73 |
% 108.50/57.73 | Equations (1008) can reduce 458 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (458) ~ (all_0_18_18 = e4)
% 108.50/57.73 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (54), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.73 | (1191) all_0_18_18 = e2
% 108.50/57.73 |
% 108.50/57.73 | Equations (1191) can reduce 638 to:
% 108.50/57.73 | (400) $false
% 108.50/57.73 |
% 108.50/57.73 |-The branch is then unsatisfiable
% 108.50/57.73 |-Branch two:
% 108.50/57.73 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.73 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.50/57.73 |
% 108.50/57.73 +-Applying beta-rule and splitting (1146), into two cases.
% 108.50/57.73 |-Branch one:
% 108.50/57.74 | (1147) all_0_18_18 = e3
% 108.50/57.74 |
% 108.50/57.74 | Equations (1147) can reduce 1189 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (1189) ~ (all_0_18_18 = e3)
% 108.50/57.74 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.74 |
% 108.50/57.74 +-Applying beta-rule and splitting (1190), into two cases.
% 108.50/57.74 |-Branch one:
% 108.50/57.74 | (1191) all_0_18_18 = e2
% 108.50/57.74 |
% 108.50/57.74 | Equations (1191) can reduce 638 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (638) ~ (all_0_18_18 = e2)
% 108.50/57.74 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.50/57.74 |
% 108.50/57.74 +-Applying beta-rule and splitting (1194), into two cases.
% 108.50/57.74 |-Branch one:
% 108.50/57.74 | (984) all_0_18_18 = e1
% 108.50/57.74 |
% 108.50/57.74 | Equations (984) can reduce 428 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (428) ~ (all_0_18_18 = e1)
% 108.50/57.74 | (756) all_0_18_18 = e0
% 108.50/57.74 |
% 108.50/57.74 | Equations (756) can reduce 1141 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.50/57.74 |
% 108.50/57.74 | Applying alpha-rule on (14837) yields:
% 108.50/57.74 | (1799) all_0_14_14 = all_0_30_30
% 108.50/57.74 | (650) ~ (all_0_30_30 = e0)
% 108.50/57.74 |
% 108.50/57.74 | Equations (646) can reduce 650 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.50/57.74 |
% 108.50/57.74 | Applying alpha-rule on (14837) yields:
% 108.50/57.74 | (1799) all_0_14_14 = all_0_30_30
% 108.50/57.74 | (650) ~ (all_0_30_30 = e0)
% 108.50/57.74 |
% 108.50/57.74 | Equations (646) can reduce 650 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (577) ~ (all_0_25_25 = e3)
% 108.50/57.74 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 108.50/57.74 |
% 108.50/57.74 +-Applying beta-rule and splitting (7020), into two cases.
% 108.50/57.74 |-Branch one:
% 108.50/57.74 | (575) all_0_30_30 = e3
% 108.50/57.74 |
% 108.50/57.74 | Combining equations (646,575) yields a new equation:
% 108.50/57.74 | (648) e3 = e0
% 108.50/57.74 |
% 108.50/57.74 | Equations (648) can reduce 80 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (1800) ~ (all_0_30_30 = e3)
% 108.50/57.74 | (728) all_0_35_35 = e3
% 108.50/57.74 |
% 108.50/57.74 | Combining equations (732,728) yields a new equation:
% 108.50/57.74 | (615) e3 = e2
% 108.50/57.74 |
% 108.50/57.74 | Equations (615) can reduce 52 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (2946) ~ (all_0_29_29 = e1)
% 108.50/57.74 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.50/57.74 |
% 108.50/57.74 +-Applying beta-rule and splitting (1535), into two cases.
% 108.50/57.74 |-Branch one:
% 108.50/57.74 | (1536) all_0_25_25 = e2
% 108.50/57.74 |
% 108.50/57.74 | Equations (1536) can reduce 473 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (473) ~ (all_0_25_25 = e2)
% 108.50/57.74 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 108.50/57.74 |
% 108.50/57.74 +-Applying beta-rule and splitting (1539), into two cases.
% 108.50/57.74 |-Branch one:
% 108.50/57.74 | (613) all_0_30_30 = e2
% 108.50/57.74 |
% 108.50/57.74 | Combining equations (646,613) yields a new equation:
% 108.50/57.74 | (525) e2 = e0
% 108.50/57.74 |
% 108.50/57.74 | Equations (525) can reduce 336 to:
% 108.50/57.74 | (400) $false
% 108.50/57.74 |
% 108.50/57.74 |-The branch is then unsatisfiable
% 108.50/57.74 |-Branch two:
% 108.50/57.74 | (617) ~ (all_0_30_30 = e2)
% 108.50/57.74 | (732) all_0_35_35 = e2
% 108.50/57.74 |
% 108.50/57.74 | Equations (732) can reduce 1138 to:
% 108.50/57.74 | (310) ~ (e2 = e1)
% 108.50/57.74 |
% 108.55/57.74 +-Applying beta-rule and splitting (11125), into two cases.
% 108.55/57.74 |-Branch one:
% 108.55/57.74 | (4342) all_0_34_34 = e1
% 108.55/57.74 |
% 108.55/57.74 | Combining equations (2551,4342) yields a new equation:
% 108.55/57.74 | (620) e2 = e1
% 108.55/57.74 |
% 108.55/57.74 | Simplifying 620 yields:
% 108.55/57.74 | (621) e2 = e1
% 108.55/57.74 |
% 108.55/57.74 | Equations (621) can reduce 310 to:
% 108.55/57.74 | (400) $false
% 108.55/57.74 |
% 108.55/57.74 |-The branch is then unsatisfiable
% 108.55/57.74 |-Branch two:
% 108.55/57.74 | (421) ~ (all_0_34_34 = e1)
% 108.55/57.74 | (1252) all_0_39_39 = e1
% 108.55/57.74 |
% 108.55/57.74 | Combining equations (1252,697) yields a new equation:
% 108.55/57.74 | (838) e4 = e1
% 108.55/57.74 |
% 108.55/57.74 | Equations (838) can reduce 56 to:
% 108.55/57.74 | (400) $false
% 108.55/57.74 |
% 108.55/57.74 |-The branch is then unsatisfiable
% 108.55/57.74 |-Branch two:
% 108.55/57.74 | (1150) ~ (all_0_19_19 = e3)
% 108.55/57.74 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.55/57.74 |
% 108.55/57.74 +-Applying beta-rule and splitting (1162), into two cases.
% 108.55/57.74 |-Branch one:
% 108.55/57.74 | (1163) all_0_19_19 = e2
% 108.55/57.74 |
% 108.55/57.74 | Equations (1163) can reduce 706 to:
% 108.55/57.74 | (400) $false
% 108.55/57.74 |
% 108.55/57.74 |-The branch is then unsatisfiable
% 108.55/57.74 |-Branch two:
% 108.55/57.74 | (706) ~ (all_0_19_19 = e2)
% 108.55/57.74 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.55/57.74 |
% 108.55/57.74 +-Applying beta-rule and splitting (1166), into two cases.
% 108.55/57.74 |-Branch one:
% 108.55/57.74 | (829) all_0_19_19 = e1
% 108.55/57.74 |
% 108.55/57.75 | Equations (829) can reduce 943 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (943) ~ (all_0_19_19 = e1)
% 108.55/57.75 | (1187) all_0_19_19 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (1187) can reduce 489 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1332) yields:
% 108.55/57.75 | (736) all_0_15_15 = e0
% 108.55/57.75 | (697) all_0_39_39 = e4
% 108.55/57.75 | (460) ~ (all_0_19_19 = e4)
% 108.55/57.75 |
% 108.55/57.75 | Equations (736) can reduce 739 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1339) yields:
% 108.55/57.75 | (736) all_0_15_15 = e0
% 108.55/57.75 | (697) all_0_39_39 = e4
% 108.55/57.75 | (536) ~ (all_0_35_35 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Equations (736) can reduce 739 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1346) yields:
% 108.55/57.75 | (1347) all_0_21_21 = e2
% 108.55/57.75 | (808) all_0_27_27 = e3
% 108.55/57.75 | (925) ~ (all_0_22_22 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1347,557) yields a new equation:
% 108.55/57.75 | (615) e3 = e2
% 108.55/57.75 |
% 108.55/57.75 | Equations (615) can reduce 52 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1352) yields:
% 108.55/57.75 | (1347) all_0_21_21 = e2
% 108.55/57.75 | (808) all_0_27_27 = e3
% 108.55/57.75 | (1355) ~ (all_0_26_26 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1347,557) yields a new equation:
% 108.55/57.75 | (615) e3 = e2
% 108.55/57.75 |
% 108.55/57.75 | Equations (615) can reduce 52 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1358) yields:
% 108.55/57.75 | (1359) all_0_21_21 = e1
% 108.55/57.75 | (1360) all_0_33_33 = e3
% 108.55/57.75 | (1361) ~ (all_0_23_23 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1359,557) yields a new equation:
% 108.55/57.75 | (928) e3 = e1
% 108.55/57.75 |
% 108.55/57.75 | Equations (928) can reduce 298 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1367) yields:
% 108.55/57.75 | (1359) all_0_21_21 = e1
% 108.55/57.75 | (1360) all_0_33_33 = e3
% 108.55/57.75 | (1370) ~ (all_0_31_31 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1359,557) yields a new equation:
% 108.55/57.75 | (928) e3 = e1
% 108.55/57.75 |
% 108.55/57.75 | Equations (928) can reduce 298 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1376) yields:
% 108.55/57.75 | (519) all_0_21_21 = e0
% 108.55/57.75 | (701) all_0_39_39 = e3
% 108.55/57.75 | (1379) ~ (all_0_24_24 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (519,557) yields a new equation:
% 108.55/57.75 | (648) e3 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (648) can reduce 80 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1385) yields:
% 108.55/57.75 | (519) all_0_21_21 = e0
% 108.55/57.75 | (701) all_0_39_39 = e3
% 108.55/57.75 | (1388) ~ (all_0_36_36 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (519,557) yields a new equation:
% 108.55/57.75 | (648) e3 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (648) can reduce 80 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1394) yields:
% 108.55/57.75 | (816) all_0_27_27 = e1
% 108.55/57.75 | (637) all_0_33_33 = e2
% 108.55/57.75 | (477) ~ (all_0_28_28 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (816,804) yields a new equation:
% 108.55/57.75 | (838) e4 = e1
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1322,637) yields a new equation:
% 108.55/57.75 | (1531) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 1531 yields:
% 108.55/57.75 | (798) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (798,838) yields a new equation:
% 108.55/57.75 | (620) e2 = e1
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 620 yields:
% 108.55/57.75 | (621) e2 = e1
% 108.55/57.75 |
% 108.55/57.75 | Equations (621) can reduce 310 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1421) yields:
% 108.55/57.75 | (816) all_0_27_27 = e1
% 108.55/57.75 | (637) all_0_33_33 = e2
% 108.55/57.75 | (419) ~ (all_0_32_32 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (816,804) yields a new equation:
% 108.55/57.75 | (838) e4 = e1
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1322,637) yields a new equation:
% 108.55/57.75 | (1531) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 1531 yields:
% 108.55/57.75 | (798) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (798,838) yields a new equation:
% 108.55/57.75 | (620) e2 = e1
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 620 yields:
% 108.55/57.75 | (621) e2 = e1
% 108.55/57.75 |
% 108.55/57.75 | Equations (621) can reduce 310 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1448) yields:
% 108.55/57.75 | (995) all_0_27_27 = e0
% 108.55/57.75 | (705) all_0_39_39 = e2
% 108.55/57.75 | (479) ~ (all_0_29_29 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (995,804) yields a new equation:
% 108.55/57.75 | (515) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (705,697) yields a new equation:
% 108.55/57.75 | (798) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (798,515) yields a new equation:
% 108.55/57.75 | (524) e2 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 524 yields:
% 108.55/57.75 | (525) e2 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (525) can reduce 336 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1455) yields:
% 108.55/57.75 | (995) all_0_27_27 = e0
% 108.55/57.75 | (705) all_0_39_39 = e2
% 108.55/57.75 | (538) ~ (all_0_37_37 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (995,804) yields a new equation:
% 108.55/57.75 | (515) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (705,697) yields a new equation:
% 108.55/57.75 | (798) e4 = e2
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (798,515) yields a new equation:
% 108.55/57.75 | (524) e2 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 524 yields:
% 108.55/57.75 | (525) e2 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (525) can reduce 336 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1462) yields:
% 108.55/57.75 | (1463) all_0_33_33 = e0
% 108.55/57.75 | (1252) all_0_39_39 = e1
% 108.55/57.75 | (421) ~ (all_0_34_34 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1322,1463) yields a new equation:
% 108.55/57.75 | (743) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 743 yields:
% 108.55/57.75 | (515) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1252,697) yields a new equation:
% 108.55/57.75 | (838) e4 = e1
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (838,515) yields a new equation:
% 108.55/57.75 | (530) e1 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 530 yields:
% 108.55/57.75 | (531) e1 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (531) can reduce 40 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Applying alpha-rule on (1469) yields:
% 108.55/57.75 | (1463) all_0_33_33 = e0
% 108.55/57.75 | (1252) all_0_39_39 = e1
% 108.55/57.75 | (540) ~ (all_0_38_38 = e0)
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1322,1463) yields a new equation:
% 108.55/57.75 | (743) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 743 yields:
% 108.55/57.75 | (515) e4 = e0
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (1252,697) yields a new equation:
% 108.55/57.75 | (838) e4 = e1
% 108.55/57.75 |
% 108.55/57.75 | Combining equations (838,515) yields a new equation:
% 108.55/57.75 | (530) e1 = e0
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 530 yields:
% 108.55/57.75 | (531) e1 = e0
% 108.55/57.75 |
% 108.55/57.75 | Equations (531) can reduce 40 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (711) all_0_15_15 = e2
% 108.55/57.75 | (776) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 108.55/57.75 |
% 108.55/57.75 | Equations (711) can reduce 90 to:
% 108.55/57.75 | (714) ~ (all_0_18_18 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 714 yields:
% 108.55/57.75 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Equations (711) can reduce 39 to:
% 108.55/57.75 | (718) ~ (all_0_35_35 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 718 yields:
% 108.55/57.75 | (719) ~ (all_0_35_35 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Equations (711) can reduce 501 to:
% 108.55/57.75 | (482) ~ (e4 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 482 yields:
% 108.55/57.75 | (21) ~ (e4 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Equations (711) can reduce 739 to:
% 108.55/57.75 | (336) ~ (e2 = e0)
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (342), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.75 | (1008) all_0_18_18 = e4
% 108.55/57.75 |
% 108.55/57.75 | Equations (1008) can reduce 458 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (458) ~ (all_0_18_18 = e4)
% 108.55/57.75 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (54), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.75 | (1191) all_0_18_18 = e2
% 108.55/57.75 |
% 108.55/57.75 | Equations (1191) can reduce 638 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.75 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (1146), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.75 | (1147) all_0_18_18 = e3
% 108.55/57.75 |
% 108.55/57.75 | Equations (1147) can reduce 38 to:
% 108.55/57.75 | (3094) ~ (all_0_38_38 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 3094 yields:
% 108.55/57.75 | (3095) ~ (all_0_38_38 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Equations (1147) can reduce 458 to:
% 108.55/57.75 | (558) ~ (e4 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Simplifying 558 yields:
% 108.55/57.75 | (255) ~ (e4 = e3)
% 108.55/57.75 |
% 108.55/57.75 | Equations (1147) can reduce 428 to:
% 108.55/57.75 | (298) ~ (e3 = e1)
% 108.55/57.75 |
% 108.55/57.75 | Equations (1147) can reduce 1141 to:
% 108.55/57.75 | (80) ~ (e3 = e0)
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (254), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.75 | (728) all_0_35_35 = e3
% 108.55/57.75 |
% 108.55/57.75 | Equations (728) can reduce 1138 to:
% 108.55/57.75 | (298) ~ (e3 = e1)
% 108.55/57.75 |
% 108.55/57.75 | From (728) and (89) follows:
% 108.55/57.75 | (7494) op(e0, e4) = e3
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (36), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.75 | (769) ~ (all_0_15_15 = e2)
% 108.55/57.75 |
% 108.55/57.75 | Equations (711) can reduce 769 to:
% 108.55/57.75 | (400) $false
% 108.55/57.75 |
% 108.55/57.75 |-The branch is then unsatisfiable
% 108.55/57.75 |-Branch two:
% 108.55/57.75 | (711) all_0_15_15 = e2
% 108.55/57.75 | (772) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 108.55/57.75 |
% 108.55/57.75 +-Applying beta-rule and splitting (772), into two cases.
% 108.55/57.75 |-Branch one:
% 108.55/57.76 | (7521) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0))
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (7521), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1037) all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12
% 108.55/57.76 |
% 108.55/57.76 | Applying alpha-rule on (1037) yields:
% 108.55/57.76 | (1032) all_0_13_13 = all_0_17_17
% 108.55/57.76 | (1039) ~ (all_0_12_12 = e3)
% 108.55/57.76 | (1034) op(all_0_17_17, e4) = all_0_12_12
% 108.55/57.76 |
% 108.55/57.76 | From (1184) and (1034) follows:
% 108.55/57.76 | (1789) op(e0, e4) = all_0_12_12
% 108.55/57.76 |
% 108.55/57.76 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 108.55/57.76 | (1044) all_0_12_12 = e3
% 108.55/57.76 |
% 108.55/57.76 | Equations (1044) can reduce 1039 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (7529) all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)
% 108.55/57.76 |
% 108.55/57.76 | Applying alpha-rule on (7529) yields:
% 108.55/57.76 | (1032) all_0_13_13 = all_0_17_17
% 108.55/57.76 | (659) ~ (all_0_17_17 = e0)
% 108.55/57.76 |
% 108.55/57.76 | Equations (1184) can reduce 659 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (7533) all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1)
% 108.55/57.76 |
% 108.55/57.76 | Applying alpha-rule on (7533) yields:
% 108.55/57.76 | (1053) all_0_14_14 = all_0_25_25
% 108.55/57.76 | (1519) ~ (all_0_25_25 = e1)
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (114), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (969) all_0_15_15 = e1
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (969,711) yields a new equation:
% 108.55/57.76 | (621) e2 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (621) can reduce 310 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (679) ~ (all_0_15_15 = e1)
% 108.55/57.76 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (1402), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1490) all_0_20_20 = e1
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (500,1490) yields a new equation:
% 108.55/57.76 | (975) e4 = e1
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 975 yields:
% 108.55/57.76 | (838) e4 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (838) can reduce 56 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (429) ~ (all_0_20_20 = e1)
% 108.55/57.76 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (1494), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1495) all_0_25_25 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (1495) can reduce 1519 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (1519) ~ (all_0_25_25 = e1)
% 108.55/57.76 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (1520), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1521) all_0_30_30 = e1
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (646,1521) yields a new equation:
% 108.55/57.76 | (531) e1 = e0
% 108.55/57.76 |
% 108.55/57.76 | Equations (531) can reduce 40 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (417) ~ (all_0_30_30 = e1)
% 108.55/57.76 | (761) all_0_35_35 = e1
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (728,761) yields a new equation:
% 108.55/57.76 | (1113) e3 = e1
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 1113 yields:
% 108.55/57.76 | (928) e3 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (928) can reduce 298 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (585) ~ (all_0_35_35 = e3)
% 108.55/57.76 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (4535), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (4536) all_0_36_36 = e3
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (534,4536) yields a new equation:
% 108.55/57.76 | (648) e3 = e0
% 108.55/57.76 |
% 108.55/57.76 | Equations (648) can reduce 80 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (4540) ~ (all_0_36_36 = e3)
% 108.55/57.76 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (121), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (732) all_0_35_35 = e2
% 108.55/57.76 |
% 108.55/57.76 | Equations (732) can reduce 719 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (719) ~ (all_0_35_35 = e2)
% 108.55/57.76 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (3929), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (6267) all_0_23_23 = e2
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (6267,427) yields a new equation:
% 108.55/57.76 | (620) e2 = e1
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 620 yields:
% 108.55/57.76 | (621) e2 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (621) can reduce 310 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (6271) ~ (all_0_23_23 = e2)
% 108.55/57.76 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.55/57.76 |
% 108.55/57.76 | Equations (427) can reduce 6271 to:
% 108.55/57.76 | (766) ~ (e2 = e1)
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 766 yields:
% 108.55/57.76 | (310) ~ (e2 = e1)
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (1477), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1478) all_0_36_36 = e2
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (534,1478) yields a new equation:
% 108.55/57.76 | (525) e2 = e0
% 108.55/57.76 |
% 108.55/57.76 | Equations (525) can reduce 336 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (481) ~ (all_0_36_36 = e2)
% 108.55/57.76 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (1482), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (1129) all_0_37_37 = e2
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (1112,1129) yields a new equation:
% 108.55/57.76 | (621) e2 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (621) can reduce 310 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (450) ~ (all_0_37_37 = e2)
% 108.55/57.76 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (4528), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (3218) all_0_38_38 = e2
% 108.55/57.76 |
% 108.55/57.76 | Equations (3218) can reduce 3095 to:
% 108.55/57.76 | (643) ~ (e3 = e2)
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 643 yields:
% 108.55/57.76 | (52) ~ (e3 = e2)
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (4541), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (936) all_0_37_37 = e3
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (936,1112) yields a new equation:
% 108.55/57.76 | (1113) e3 = e1
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 1113 yields:
% 108.55/57.76 | (928) e3 = e1
% 108.55/57.76 |
% 108.55/57.76 | Equations (928) can reduce 298 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (1127) ~ (all_0_37_37 = e3)
% 108.55/57.76 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.55/57.76 |
% 108.55/57.76 +-Applying beta-rule and splitting (4729), into two cases.
% 108.55/57.76 |-Branch one:
% 108.55/57.76 | (3208) all_0_38_38 = e3
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (3208,3218) yields a new equation:
% 108.55/57.76 | (614) e3 = e2
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 614 yields:
% 108.55/57.76 | (615) e3 = e2
% 108.55/57.76 |
% 108.55/57.76 | Equations (615) can reduce 52 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (3095) ~ (all_0_38_38 = e3)
% 108.55/57.76 | (701) all_0_39_39 = e3
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (697,701) yields a new equation:
% 108.55/57.76 | (596) e4 = e3
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 596 yields:
% 108.55/57.76 | (597) e4 = e3
% 108.55/57.76 |
% 108.55/57.76 | Equations (597) can reduce 255 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.76 |-Branch two:
% 108.55/57.76 | (2728) ~ (all_0_38_38 = e2)
% 108.55/57.76 | (705) all_0_39_39 = e2
% 108.55/57.76 |
% 108.55/57.76 | Combining equations (697,705) yields a new equation:
% 108.55/57.76 | (1531) e4 = e2
% 108.55/57.76 |
% 108.55/57.76 | Simplifying 1531 yields:
% 108.55/57.76 | (798) e4 = e2
% 108.55/57.76 |
% 108.55/57.76 | Equations (798) can reduce 21 to:
% 108.55/57.76 | (400) $false
% 108.55/57.76 |
% 108.55/57.76 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (1189) ~ (all_0_18_18 = e3)
% 108.55/57.77 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (1190), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (1191) all_0_18_18 = e2
% 108.55/57.77 |
% 108.55/57.77 | Equations (1191) can reduce 638 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.77 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (1194), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (984) all_0_18_18 = e1
% 108.55/57.77 |
% 108.55/57.77 | Equations (984) can reduce 428 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (428) ~ (all_0_18_18 = e1)
% 108.55/57.77 | (756) all_0_18_18 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (756) can reduce 1141 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (763) ~ (all_0_37_37 = e1)
% 108.55/57.77 | (1136) all_0_37_37 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (1136) can reduce 538 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (758) ~ (all_0_28_28 = e0)
% 108.55/57.77 | (5206) all_0_29_29 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (5206) can reduce 493 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (659) ~ (all_0_17_17 = e0)
% 108.55/57.77 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (4262), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (4273) all_0_22_22 = e0
% 108.55/57.77 |
% 108.55/57.77 | Combining equations (4273,442) yields a new equation:
% 108.55/57.77 | (525) e2 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (525) can reduce 336 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (4277) ~ (all_0_22_22 = e0)
% 108.55/57.77 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (4278), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (995) all_0_27_27 = e0
% 108.55/57.77 |
% 108.55/57.77 | Combining equations (804,995) yields a new equation:
% 108.55/57.77 | (743) e4 = e0
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 743 yields:
% 108.55/57.77 | (515) e4 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (515) can reduce 267 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (660) ~ (all_0_27_27 = e0)
% 108.55/57.77 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (4292), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (658) all_0_32_32 = e0
% 108.55/57.77 |
% 108.55/57.77 | Combining equations (629,658) yields a new equation:
% 108.55/57.77 | (647) e3 = e0
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 647 yields:
% 108.55/57.77 | (648) e3 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (648) can reduce 80 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (889) ~ (all_0_32_32 = e0)
% 108.55/57.77 | (1136) all_0_37_37 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (1136) can reduce 538 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (785) ~ (all_0_27_27 = e4)
% 108.55/57.77 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (853), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (854) all_0_28_28 = e4
% 108.55/57.77 |
% 108.55/57.77 | Equations (854) can reduce 883 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (883) ~ (all_0_28_28 = e4)
% 108.55/57.77 | (941) all_0_29_29 = e4
% 108.55/57.77 |
% 108.55/57.77 | Equations (941) can reduce 603 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (607) ~ (all_0_39_39 = e4)
% 108.55/57.77 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (700), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (701) all_0_39_39 = e3
% 108.55/57.77 |
% 108.55/57.77 | Equations (701) can reduce 571 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (571) ~ (all_0_39_39 = e3)
% 108.55/57.77 | (704) all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (704), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (705) all_0_39_39 = e2
% 108.55/57.77 |
% 108.55/57.77 | Equations (705) can reduce 1250 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (1250) ~ (all_0_39_39 = e2)
% 108.55/57.77 | (1251) all_0_39_39 = e1 | all_0_39_39 = e0
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (1251), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (1252) all_0_39_39 = e1
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 696 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (696) ~ (all_0_39_39 = e1)
% 108.55/57.77 | (1255) all_0_39_39 = e0
% 108.55/57.77 |
% 108.55/57.77 | Equations (1255) can reduce 542 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (1252) all_0_39_39 = e1
% 108.55/57.77 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 94 to:
% 108.55/57.77 | (943) ~ (all_0_19_19 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 291 to:
% 108.55/57.77 | (2946) ~ (all_0_29_29 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 24 to:
% 108.55/57.77 | (763) ~ (all_0_37_37 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 231 to:
% 108.55/57.77 | (438) ~ (all_0_38_38 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 571 to:
% 108.55/57.77 | (824) ~ (e3 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 824 yields:
% 108.55/57.77 | (298) ~ (e3 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1252) can reduce 1250 to:
% 108.55/57.77 | (766) ~ (e2 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 766 yields:
% 108.55/57.77 | (310) ~ (e2 = e1)
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (248), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (724) all_0_35_35 = e4
% 108.55/57.77 |
% 108.55/57.77 | Equations (724) can reduce 509 to:
% 108.55/57.77 | (400) $false
% 108.55/57.77 |
% 108.55/57.77 |-The branch is then unsatisfiable
% 108.55/57.77 |-Branch two:
% 108.55/57.77 | (509) ~ (all_0_35_35 = e4)
% 108.55/57.77 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.55/57.77 |
% 108.55/57.77 +-Applying beta-rule and splitting (43), into two cases.
% 108.55/57.77 |-Branch one:
% 108.55/57.77 | (1495) all_0_25_25 = e1
% 108.55/57.77 |
% 108.55/57.77 | Equations (1495) can reduce 122 to:
% 108.55/57.77 | (15522) ~ (all_0_27_27 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 15522 yields:
% 108.55/57.77 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1495) can reduce 185 to:
% 108.55/57.77 | (433) ~ (all_0_28_28 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Simplifying 433 yields:
% 108.55/57.77 | (434) ~ (all_0_28_28 = e1)
% 108.55/57.77 |
% 108.55/57.77 | Equations (1495) can reduce 7 to:
% 108.55/57.78 | (5048) ~ (all_0_29_29 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 5048 yields:
% 108.55/57.78 | (2946) ~ (all_0_29_29 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1495) can reduce 194 to:
% 108.55/57.78 | (3855) ~ (all_0_35_35 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 3855 yields:
% 108.55/57.78 | (1138) ~ (all_0_35_35 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1495) can reduce 505 to:
% 108.55/57.78 | (764) ~ (e4 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 764 yields:
% 108.55/57.78 | (56) ~ (e4 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1495) can reduce 473 to:
% 108.55/57.78 | (766) ~ (e2 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 766 yields:
% 108.55/57.78 | (310) ~ (e2 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1495) can reduce 1054 to:
% 108.55/57.78 | (40) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (332), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (1151) all_0_19_19 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (1151) can reduce 460 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (460) ~ (all_0_19_19 = e4)
% 108.55/57.78 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (1091), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (2975) all_0_36_36 = e4
% 108.55/57.78 |
% 108.55/57.78 | Combining equations (534,2975) yields a new equation:
% 108.55/57.78 | (515) e4 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (515) can reduce 267 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (466) ~ (all_0_36_36 = e4)
% 108.55/57.78 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (2979), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (847) all_0_37_37 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (847) can reduce 763 to:
% 108.55/57.78 | (56) ~ (e4 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (847) can reduce 538 to:
% 108.55/57.78 | (267) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (1154), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (1159) all_0_19_19 = e3
% 108.55/57.78 |
% 108.55/57.78 | Equations (1159) can reduce 319 to:
% 108.55/57.78 | (572) ~ (all_0_15_15 = e3)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1159) can reduce 174 to:
% 108.55/57.78 | (3114) ~ (all_0_29_29 = e3)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 3114 yields:
% 108.55/57.78 | (3115) ~ (all_0_29_29 = e3)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1159) can reduce 943 to:
% 108.55/57.78 | (298) ~ (e3 = e1)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (88), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (941) all_0_29_29 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (941) can reduce 53 to:
% 108.55/57.78 | (785) ~ (all_0_27_27 = e4)
% 108.55/57.78 |
% 108.55/57.78 | Equations (941) can reduce 47 to:
% 108.55/57.78 | (883) ~ (all_0_28_28 = e4)
% 108.55/57.78 |
% 108.55/57.78 | Equations (941) can reduce 2946 to:
% 108.55/57.78 | (56) ~ (e4 = e1)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (158), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (6706) all_0_15_15 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (6706) can reduce 501 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (501) ~ (all_0_15_15 = e4)
% 108.55/57.78 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (6709), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (1297) all_0_15_15 = e3
% 108.55/57.78 |
% 108.55/57.78 | Equations (1297) can reduce 572 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (572) ~ (all_0_15_15 = e3)
% 108.55/57.78 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (249), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (980) all_0_17_17 = e1
% 108.55/57.78 |
% 108.55/57.78 | Equations (980) can reduce 344 to:
% 108.55/57.78 | (679) ~ (all_0_15_15 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (980) can reduce 9 to:
% 108.55/57.78 | (1549) ~ (all_0_18_18 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 1549 yields:
% 108.55/57.78 | (428) ~ (all_0_18_18 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (980) can reduce 226 to:
% 108.55/57.78 | (15522) ~ (all_0_27_27 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 15522 yields:
% 108.55/57.78 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (9969), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (711) all_0_15_15 = e2
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 90 to:
% 108.55/57.78 | (714) ~ (all_0_18_18 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 714 yields:
% 108.55/57.78 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 39 to:
% 108.55/57.78 | (718) ~ (all_0_35_35 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 718 yields:
% 108.55/57.78 | (719) ~ (all_0_35_35 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 501 to:
% 108.55/57.78 | (482) ~ (e4 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 482 yields:
% 108.55/57.78 | (21) ~ (e4 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 679 to:
% 108.55/57.78 | (310) ~ (e2 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 739 to:
% 108.55/57.78 | (336) ~ (e2 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (92), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (736) all_0_15_15 = e0
% 108.55/57.78 |
% 108.55/57.78 | Combining equations (736,711) yields a new equation:
% 108.55/57.78 | (525) e2 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (525) can reduce 336 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (739) ~ (all_0_15_15 = e0)
% 108.55/57.78 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (175), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (804) all_0_27_27 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (804) can reduce 785 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (785) ~ (all_0_27_27 = e4)
% 108.55/57.78 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (807), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (808) all_0_27_27 = e3
% 108.55/57.78 |
% 108.55/57.78 | Equations (808) can reduce 573 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (573) ~ (all_0_27_27 = e3)
% 108.55/57.78 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (811), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (812) all_0_27_27 = e2
% 108.55/57.78 |
% 108.55/57.78 | Equations (812) can reduce 475 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (475) ~ (all_0_27_27 = e2)
% 108.55/57.78 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (815), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (816) all_0_27_27 = e1
% 108.55/57.78 |
% 108.55/57.78 | Equations (816) can reduce 857 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.78 | (995) all_0_27_27 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (995) can reduce 337 to:
% 108.55/57.78 | (757) ~ (all_0_28_28 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 757 yields:
% 108.55/57.78 | (758) ~ (all_0_28_28 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (995) can reduce 785 to:
% 108.55/57.78 | (543) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 543 yields:
% 108.55/57.78 | (267) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (995) can reduce 857 to:
% 108.55/57.78 | (498) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 498 yields:
% 108.55/57.78 | (40) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (268), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (660) ~ (all_0_27_27 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (995) can reduce 660 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (995) all_0_27_27 = e0
% 108.55/57.78 | (8431) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e3) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (273), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (660) ~ (all_0_27_27 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (995) can reduce 660 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (995) all_0_27_27 = e0
% 108.55/57.78 | (8388) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (1207), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (514) all_0_16_16 = e0
% 108.55/57.78 |
% 108.55/57.78 | Combining equations (514,454) yields a new equation:
% 108.55/57.78 | (515) e4 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (515) can reduce 267 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (517) ~ (all_0_16_16 = e0)
% 108.55/57.78 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (454) can reduce 517 to:
% 108.55/57.78 | (267) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (1212), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (1184) all_0_17_17 = e0
% 108.55/57.78 |
% 108.55/57.78 | Combining equations (1184,980) yields a new equation:
% 108.55/57.78 | (531) e1 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (531) can reduce 40 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (659) ~ (all_0_17_17 = e0)
% 108.55/57.78 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (980) can reduce 659 to:
% 108.55/57.78 | (40) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (340), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (756) all_0_18_18 = e0
% 108.55/57.78 |
% 108.55/57.78 | Equations (756) can reduce 302 to:
% 108.55/57.78 | (757) ~ (all_0_28_28 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 757 yields:
% 108.55/57.78 | (758) ~ (all_0_28_28 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (756) can reduce 38 to:
% 108.55/57.78 | (539) ~ (all_0_38_38 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 539 yields:
% 108.55/57.78 | (540) ~ (all_0_38_38 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (756) can reduce 458 to:
% 108.55/57.78 | (543) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 543 yields:
% 108.55/57.78 | (267) ~ (e4 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (756) can reduce 638 to:
% 108.55/57.78 | (496) ~ (e2 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 496 yields:
% 108.55/57.78 | (336) ~ (e2 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Equations (756) can reduce 428 to:
% 108.55/57.78 | (498) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 498 yields:
% 108.55/57.78 | (40) ~ (e1 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (86), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (854) all_0_28_28 = e4
% 108.55/57.78 |
% 108.55/57.78 | Equations (854) can reduce 883 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (883) ~ (all_0_28_28 = e4)
% 108.55/57.78 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (1021), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (1106) all_0_28_28 = e3
% 108.55/57.78 |
% 108.55/57.78 | Equations (1106) can reduce 883 to:
% 108.55/57.78 | (558) ~ (e4 = e3)
% 108.55/57.78 |
% 108.55/57.78 | Simplifying 558 yields:
% 108.55/57.78 | (255) ~ (e4 = e3)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1106) can reduce 434 to:
% 108.55/57.78 | (298) ~ (e3 = e1)
% 108.55/57.78 |
% 108.55/57.78 | Equations (1106) can reduce 758 to:
% 108.55/57.78 | (80) ~ (e3 = e0)
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (121), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (732) all_0_35_35 = e2
% 108.55/57.78 |
% 108.55/57.78 | Equations (732) can reduce 719 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.78 | (719) ~ (all_0_35_35 = e2)
% 108.55/57.78 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.78 |
% 108.55/57.78 +-Applying beta-rule and splitting (76), into two cases.
% 108.55/57.78 |-Branch one:
% 108.55/57.78 | (769) ~ (all_0_15_15 = e2)
% 108.55/57.78 |
% 108.55/57.78 | Equations (711) can reduce 769 to:
% 108.55/57.78 | (400) $false
% 108.55/57.78 |
% 108.55/57.78 |-The branch is then unsatisfiable
% 108.55/57.78 |-Branch two:
% 108.55/57.79 | (711) all_0_15_15 = e2
% 108.55/57.79 | (8348) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (6683), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (6785) all_0_20_20 = e3
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (6785,500) yields a new equation:
% 108.55/57.79 | (597) e4 = e3
% 108.55/57.79 |
% 108.55/57.79 | Equations (597) can reduce 255 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1306) ~ (all_0_20_20 = e3)
% 108.55/57.79 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1477), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1478) all_0_36_36 = e2
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (1478,534) yields a new equation:
% 108.55/57.79 | (524) e2 = e0
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 524 yields:
% 108.55/57.79 | (525) e2 = e0
% 108.55/57.79 |
% 108.55/57.79 | Equations (525) can reduce 336 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (481) ~ (all_0_36_36 = e2)
% 108.55/57.79 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (6789), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1698) all_0_25_25 = e3
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (1495,1698) yields a new equation:
% 108.55/57.79 | (928) e3 = e1
% 108.55/57.79 |
% 108.55/57.79 | Equations (928) can reduce 298 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (577) ~ (all_0_25_25 = e3)
% 108.55/57.79 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (7020), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (575) all_0_30_30 = e3
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (575,646) yields a new equation:
% 108.55/57.79 | (647) e3 = e0
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 647 yields:
% 108.55/57.79 | (648) e3 = e0
% 108.55/57.79 |
% 108.55/57.79 | Equations (648) can reduce 80 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1800) ~ (all_0_30_30 = e3)
% 108.55/57.79 | (728) all_0_35_35 = e3
% 108.55/57.79 |
% 108.55/57.79 | Equations (728) can reduce 210 to:
% 108.55/57.79 | (3094) ~ (all_0_38_38 = e3)
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 3094 yields:
% 108.55/57.79 | (3095) ~ (all_0_38_38 = e3)
% 108.55/57.79 |
% 108.55/57.79 | Equations (728) can reduce 1138 to:
% 108.55/57.79 | (298) ~ (e3 = e1)
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1482), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1129) all_0_37_37 = e2
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (1129,847) yields a new equation:
% 108.55/57.79 | (798) e4 = e2
% 108.55/57.79 |
% 108.55/57.79 | Equations (798) can reduce 21 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (450) ~ (all_0_37_37 = e2)
% 108.55/57.79 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (4528), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (3218) all_0_38_38 = e2
% 108.55/57.79 |
% 108.55/57.79 | Equations (3218) can reduce 3095 to:
% 108.55/57.79 | (643) ~ (e3 = e2)
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 643 yields:
% 108.55/57.79 | (52) ~ (e3 = e2)
% 108.55/57.79 |
% 108.55/57.79 | Equations (3218) can reduce 438 to:
% 108.55/57.79 | (310) ~ (e2 = e1)
% 108.55/57.79 |
% 108.55/57.79 | Equations (3218) can reduce 540 to:
% 108.55/57.79 | (336) ~ (e2 = e0)
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (251), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1278), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1279), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1280), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1281), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1282), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1283), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1284), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1285), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1286), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1287), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1288), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1289), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1290), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1291), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1292), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1293), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1294), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.55/57.79 |
% 108.55/57.79 +-Applying beta-rule and splitting (1295), into two cases.
% 108.55/57.79 |-Branch one:
% 108.55/57.79 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Applying alpha-rule on (1296) yields:
% 108.55/57.79 | (1297) all_0_15_15 = e3
% 108.55/57.79 | (550) all_0_21_21 = e4
% 108.55/57.79 | (1299) ~ (all_0_16_16 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (1297,711) yields a new equation:
% 108.55/57.79 | (614) e3 = e2
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 614 yields:
% 108.55/57.79 | (615) e3 = e2
% 108.55/57.79 |
% 108.55/57.79 | Equations (615) can reduce 52 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.55/57.79 |
% 108.55/57.79 | Applying alpha-rule on (1303) yields:
% 108.55/57.79 | (1297) all_0_15_15 = e3
% 108.55/57.79 | (550) all_0_21_21 = e4
% 108.55/57.79 | (1306) ~ (all_0_20_20 = e3)
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (1297,711) yields a new equation:
% 108.55/57.79 | (614) e3 = e2
% 108.55/57.79 |
% 108.55/57.79 | Simplifying 614 yields:
% 108.55/57.79 | (615) e3 = e2
% 108.55/57.79 |
% 108.55/57.79 | Equations (615) can reduce 52 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Applying alpha-rule on (1310) yields:
% 108.55/57.79 | (711) all_0_15_15 = e2
% 108.55/57.79 | (804) all_0_27_27 = e4
% 108.55/57.79 | (456) ~ (all_0_17_17 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (995,804) yields a new equation:
% 108.55/57.79 | (515) e4 = e0
% 108.55/57.79 |
% 108.55/57.79 | Equations (515) can reduce 267 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.55/57.79 |
% 108.55/57.79 | Applying alpha-rule on (1315) yields:
% 108.55/57.79 | (711) all_0_15_15 = e2
% 108.55/57.79 | (804) all_0_27_27 = e4
% 108.55/57.79 | (473) ~ (all_0_25_25 = e2)
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (995,804) yields a new equation:
% 108.55/57.79 | (515) e4 = e0
% 108.55/57.79 |
% 108.55/57.79 | Equations (515) can reduce 267 to:
% 108.55/57.79 | (400) $false
% 108.55/57.79 |
% 108.55/57.79 |-The branch is then unsatisfiable
% 108.55/57.79 |-Branch two:
% 108.55/57.79 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Applying alpha-rule on (1320) yields:
% 108.55/57.79 | (969) all_0_15_15 = e1
% 108.55/57.79 | (1322) all_0_33_33 = e4
% 108.55/57.79 | (458) ~ (all_0_18_18 = e4)
% 108.55/57.79 |
% 108.55/57.79 | Combining equations (969,711) yields a new equation:
% 108.55/57.80 | (621) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (621) can reduce 310 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1326) yields:
% 108.55/57.80 | (969) all_0_15_15 = e1
% 108.55/57.80 | (1322) all_0_33_33 = e4
% 108.55/57.80 | (417) ~ (all_0_30_30 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (969,711) yields a new equation:
% 108.55/57.80 | (621) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (621) can reduce 310 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1332) yields:
% 108.55/57.80 | (736) all_0_15_15 = e0
% 108.55/57.80 | (697) all_0_39_39 = e4
% 108.55/57.80 | (460) ~ (all_0_19_19 = e4)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (736,711) yields a new equation:
% 108.55/57.80 | (525) e2 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (525) can reduce 336 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1339) yields:
% 108.55/57.80 | (736) all_0_15_15 = e0
% 108.55/57.80 | (697) all_0_39_39 = e4
% 108.55/57.80 | (536) ~ (all_0_35_35 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (736,711) yields a new equation:
% 108.55/57.80 | (525) e2 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (525) can reduce 336 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1346) yields:
% 108.55/57.80 | (1347) all_0_21_21 = e2
% 108.55/57.80 | (808) all_0_27_27 = e3
% 108.55/57.80 | (925) ~ (all_0_22_22 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1347,557) yields a new equation:
% 108.55/57.80 | (615) e3 = e2
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (995,808) yields a new equation:
% 108.55/57.80 | (648) e3 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (648,615) yields a new equation:
% 108.55/57.80 | (525) e2 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (525) can reduce 336 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1352) yields:
% 108.55/57.80 | (1347) all_0_21_21 = e2
% 108.55/57.80 | (808) all_0_27_27 = e3
% 108.55/57.80 | (1355) ~ (all_0_26_26 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1347,557) yields a new equation:
% 108.55/57.80 | (615) e3 = e2
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (995,808) yields a new equation:
% 108.55/57.80 | (648) e3 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (648,615) yields a new equation:
% 108.55/57.80 | (525) e2 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (525) can reduce 336 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1358) yields:
% 108.55/57.80 | (1359) all_0_21_21 = e1
% 108.55/57.80 | (1360) all_0_33_33 = e3
% 108.55/57.80 | (1361) ~ (all_0_23_23 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1359,557) yields a new equation:
% 108.55/57.80 | (928) e3 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (928) can reduce 298 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1367) yields:
% 108.55/57.80 | (1359) all_0_21_21 = e1
% 108.55/57.80 | (1360) all_0_33_33 = e3
% 108.55/57.80 | (1370) ~ (all_0_31_31 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1359,557) yields a new equation:
% 108.55/57.80 | (928) e3 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (928) can reduce 298 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1376) yields:
% 108.55/57.80 | (519) all_0_21_21 = e0
% 108.55/57.80 | (701) all_0_39_39 = e3
% 108.55/57.80 | (1379) ~ (all_0_24_24 = e3)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (519,557) yields a new equation:
% 108.55/57.80 | (648) e3 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1252,701) yields a new equation:
% 108.55/57.80 | (928) e3 = e1
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (928,648) yields a new equation:
% 108.55/57.80 | (530) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 530 yields:
% 108.55/57.80 | (531) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (531) can reduce 40 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1385) yields:
% 108.55/57.80 | (519) all_0_21_21 = e0
% 108.55/57.80 | (701) all_0_39_39 = e3
% 108.55/57.80 | (1388) ~ (all_0_36_36 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (519,557) yields a new equation:
% 108.55/57.80 | (648) e3 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1252,701) yields a new equation:
% 108.55/57.80 | (928) e3 = e1
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (928,648) yields a new equation:
% 108.55/57.80 | (530) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 530 yields:
% 108.55/57.80 | (531) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (531) can reduce 40 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1394) yields:
% 108.55/57.80 | (816) all_0_27_27 = e1
% 108.55/57.80 | (637) all_0_33_33 = e2
% 108.55/57.80 | (477) ~ (all_0_28_28 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (816,995) yields a new equation:
% 108.55/57.80 | (530) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 530 yields:
% 108.55/57.80 | (531) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (531) can reduce 40 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1421) yields:
% 108.55/57.80 | (816) all_0_27_27 = e1
% 108.55/57.80 | (637) all_0_33_33 = e2
% 108.55/57.80 | (419) ~ (all_0_32_32 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (816,995) yields a new equation:
% 108.55/57.80 | (530) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 530 yields:
% 108.55/57.80 | (531) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (531) can reduce 40 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1448) yields:
% 108.55/57.80 | (995) all_0_27_27 = e0
% 108.55/57.80 | (705) all_0_39_39 = e2
% 108.55/57.80 | (479) ~ (all_0_29_29 = e2)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (705,1252) yields a new equation:
% 108.55/57.80 | (620) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 620 yields:
% 108.55/57.80 | (621) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (621) can reduce 310 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1455) yields:
% 108.55/57.80 | (995) all_0_27_27 = e0
% 108.55/57.80 | (705) all_0_39_39 = e2
% 108.55/57.80 | (538) ~ (all_0_37_37 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (705,1252) yields a new equation:
% 108.55/57.80 | (620) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 620 yields:
% 108.55/57.80 | (621) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (621) can reduce 310 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1462) yields:
% 108.55/57.80 | (1463) all_0_33_33 = e0
% 108.55/57.80 | (1252) all_0_39_39 = e1
% 108.55/57.80 | (421) ~ (all_0_34_34 = e1)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1463,1322) yields a new equation:
% 108.55/57.80 | (515) e4 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (515) can reduce 267 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Applying alpha-rule on (1469) yields:
% 108.55/57.80 | (1463) all_0_33_33 = e0
% 108.55/57.80 | (1252) all_0_39_39 = e1
% 108.55/57.80 | (540) ~ (all_0_38_38 = e0)
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1463,1322) yields a new equation:
% 108.55/57.80 | (515) e4 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (515) can reduce 267 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (2728) ~ (all_0_38_38 = e2)
% 108.55/57.80 | (705) all_0_39_39 = e2
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1252,705) yields a new equation:
% 108.55/57.80 | (621) e2 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (621) can reduce 310 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (893) ~ (all_0_28_28 = e3)
% 108.55/57.80 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 108.55/57.80 |
% 108.55/57.80 +-Applying beta-rule and splitting (1117), into two cases.
% 108.55/57.80 |-Branch one:
% 108.55/57.80 | (1118) all_0_28_28 = e2
% 108.55/57.80 |
% 108.55/57.80 | Equations (1118) can reduce 477 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (477) ~ (all_0_28_28 = e2)
% 108.55/57.80 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 108.55/57.80 |
% 108.55/57.80 +-Applying beta-rule and splitting (1121), into two cases.
% 108.55/57.80 |-Branch one:
% 108.55/57.80 | (1122) all_0_28_28 = e1
% 108.55/57.80 |
% 108.55/57.80 | Equations (1122) can reduce 434 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (434) ~ (all_0_28_28 = e1)
% 108.55/57.80 | (1125) all_0_28_28 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (1125) can reduce 758 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (1141) ~ (all_0_18_18 = e0)
% 108.55/57.80 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.55/57.80 |
% 108.55/57.80 +-Applying beta-rule and splitting (1142), into two cases.
% 108.55/57.80 |-Branch one:
% 108.55/57.80 | (4698) all_0_23_23 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (4698,427) yields a new equation:
% 108.55/57.80 | (531) e1 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (531) can reduce 40 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (4702) ~ (all_0_23_23 = e0)
% 108.55/57.80 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.55/57.80 |
% 108.55/57.80 +-Applying beta-rule and splitting (4703), into two cases.
% 108.55/57.80 |-Branch one:
% 108.55/57.80 | (1125) all_0_28_28 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (1125) can reduce 758 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.80 | (758) ~ (all_0_28_28 = e0)
% 108.55/57.80 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 108.55/57.80 |
% 108.55/57.80 +-Applying beta-rule and splitting (4707), into two cases.
% 108.55/57.80 |-Branch one:
% 108.55/57.80 | (1463) all_0_33_33 = e0
% 108.55/57.80 |
% 108.55/57.80 | Combining equations (1322,1463) yields a new equation:
% 108.55/57.80 | (743) e4 = e0
% 108.55/57.80 |
% 108.55/57.80 | Simplifying 743 yields:
% 108.55/57.80 | (515) e4 = e0
% 108.55/57.80 |
% 108.55/57.80 | Equations (515) can reduce 267 to:
% 108.55/57.80 | (400) $false
% 108.55/57.80 |
% 108.55/57.80 |-The branch is then unsatisfiable
% 108.55/57.80 |-Branch two:
% 108.55/57.81 | (2612) ~ (all_0_33_33 = e0)
% 108.55/57.81 | (3225) all_0_38_38 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (3225) can reduce 540 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (769) ~ (all_0_15_15 = e2)
% 108.55/57.81 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (9982), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (969) all_0_15_15 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (969) can reduce 679 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (679) ~ (all_0_15_15 = e1)
% 108.55/57.81 | (736) all_0_15_15 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (736) can reduce 739 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (817) ~ (all_0_17_17 = e1)
% 108.55/57.81 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1085), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (1094) all_0_22_22 = e1
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (442,1094) yields a new equation:
% 108.55/57.81 | (620) e2 = e1
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 620 yields:
% 108.55/57.81 | (621) e2 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (621) can reduce 310 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (1098) ~ (all_0_22_22 = e1)
% 108.55/57.81 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1099), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (816) all_0_27_27 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (816) can reduce 857 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.81 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1105), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (1108) all_0_32_32 = e1
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (629,1108) yields a new equation:
% 108.55/57.81 | (1113) e3 = e1
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 1113 yields:
% 108.55/57.81 | (928) e3 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (928) can reduce 298 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (419) ~ (all_0_32_32 = e1)
% 108.55/57.81 | (1112) all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (847,1112) yields a new equation:
% 108.55/57.81 | (975) e4 = e1
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 975 yields:
% 108.55/57.81 | (838) e4 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (838) can reduce 56 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (603) ~ (all_0_29_29 = e4)
% 108.55/57.81 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (5059), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (3056) all_0_29_29 = e3
% 108.55/57.81 |
% 108.55/57.81 | Equations (3056) can reduce 3115 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (3115) ~ (all_0_29_29 = e3)
% 108.55/57.81 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (5198), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (5199) all_0_29_29 = e2
% 108.55/57.81 |
% 108.55/57.81 | Equations (5199) can reduce 479 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (479) ~ (all_0_29_29 = e2)
% 108.55/57.81 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (5202), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (4599) all_0_29_29 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (4599) can reduce 2946 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (2946) ~ (all_0_29_29 = e1)
% 108.55/57.81 | (5206) all_0_29_29 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (5206) can reduce 493 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (1150) ~ (all_0_19_19 = e3)
% 108.55/57.81 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1162), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (1163) all_0_19_19 = e2
% 108.55/57.81 |
% 108.55/57.81 | Equations (1163) can reduce 706 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (706) ~ (all_0_19_19 = e2)
% 108.55/57.81 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (249), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (980) all_0_17_17 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (980) can reduce 131 to:
% 108.55/57.81 | (3853) ~ (all_0_19_19 = e1)
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 3853 yields:
% 108.55/57.81 | (943) ~ (all_0_19_19 = e1)
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (92), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (736) all_0_15_15 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (736) can reduce 739 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (739) ~ (all_0_15_15 = e0)
% 108.55/57.81 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1207), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (514) all_0_16_16 = e0
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (514,454) yields a new equation:
% 108.55/57.81 | (515) e4 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (515) can reduce 267 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (517) ~ (all_0_16_16 = e0)
% 108.55/57.81 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1212), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (1184) all_0_17_17 = e0
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (980,1184) yields a new equation:
% 108.55/57.81 | (530) e1 = e0
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 530 yields:
% 108.55/57.81 | (531) e1 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (531) can reduce 40 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (659) ~ (all_0_17_17 = e0)
% 108.55/57.81 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1216), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (756) all_0_18_18 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (756) can reduce 172 to:
% 108.55/57.81 | (3657) ~ (all_0_19_19 = e0)
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 3657 yields:
% 108.55/57.81 | (489) ~ (all_0_19_19 = e0)
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1166), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (829) all_0_19_19 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (829) can reduce 943 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (943) ~ (all_0_19_19 = e1)
% 108.55/57.81 | (1187) all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (1187) can reduce 489 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (1141) ~ (all_0_18_18 = e0)
% 108.55/57.81 | (1187) all_0_19_19 = e0
% 108.55/57.81 |
% 108.55/57.81 | Equations (1187) can reduce 489 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (817) ~ (all_0_17_17 = e1)
% 108.55/57.81 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1085), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (1094) all_0_22_22 = e1
% 108.55/57.81 |
% 108.55/57.81 | Combining equations (442,1094) yields a new equation:
% 108.55/57.81 | (620) e2 = e1
% 108.55/57.81 |
% 108.55/57.81 | Simplifying 620 yields:
% 108.55/57.81 | (621) e2 = e1
% 108.55/57.81 |
% 108.55/57.81 | Equations (621) can reduce 310 to:
% 108.55/57.81 | (400) $false
% 108.55/57.81 |
% 108.55/57.81 |-The branch is then unsatisfiable
% 108.55/57.81 |-Branch two:
% 108.55/57.81 | (1098) ~ (all_0_22_22 = e1)
% 108.55/57.81 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.81 |
% 108.55/57.81 +-Applying beta-rule and splitting (1099), into two cases.
% 108.55/57.81 |-Branch one:
% 108.55/57.81 | (816) all_0_27_27 = e1
% 108.55/57.81 |
% 108.55/57.82 | Equations (816) can reduce 857 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.82 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (1105), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (1108) all_0_32_32 = e1
% 108.55/57.82 |
% 108.55/57.82 | Combining equations (629,1108) yields a new equation:
% 108.55/57.82 | (1113) e3 = e1
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 1113 yields:
% 108.55/57.82 | (928) e3 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (928) can reduce 298 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (419) ~ (all_0_32_32 = e1)
% 108.55/57.82 | (1112) all_0_37_37 = e1
% 108.55/57.82 |
% 108.55/57.82 | Combining equations (847,1112) yields a new equation:
% 108.55/57.82 | (975) e4 = e1
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 975 yields:
% 108.55/57.82 | (838) e4 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (838) can reduce 56 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (1002) ~ (all_0_37_37 = e4)
% 108.55/57.82 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (2983), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (1846) all_0_38_38 = e4
% 108.55/57.82 |
% 108.55/57.82 | Equations (1846) can reduce 1835 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (1835) ~ (all_0_38_38 = e4)
% 108.55/57.82 | (697) all_0_39_39 = e4
% 108.55/57.82 |
% 108.55/57.82 | Combining equations (697,1252) yields a new equation:
% 108.55/57.82 | (975) e4 = e1
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 975 yields:
% 108.55/57.82 | (838) e4 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (838) can reduce 56 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (1519) ~ (all_0_25_25 = e1)
% 108.55/57.82 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (4556), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (4559) all_0_26_26 = e1
% 108.55/57.82 |
% 108.55/57.82 | Combining equations (471,4559) yields a new equation:
% 108.55/57.82 | (620) e2 = e1
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 620 yields:
% 108.55/57.82 | (621) e2 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (621) can reduce 310 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (416) ~ (all_0_26_26 = e1)
% 108.55/57.82 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (4563), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (816) all_0_27_27 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (816) can reduce 857 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (857) ~ (all_0_27_27 = e1)
% 108.55/57.82 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (4568), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (1122) all_0_28_28 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (1122) can reduce 434 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (434) ~ (all_0_28_28 = e1)
% 108.55/57.82 | (4599) all_0_29_29 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (4599) can reduce 2946 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (579) ~ (all_0_32_32 = e3)
% 108.55/57.82 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (632), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (625) all_0_32_32 = e2
% 108.55/57.82 |
% 108.55/57.82 | Equations (625) can reduce 448 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (448) ~ (all_0_32_32 = e2)
% 108.55/57.82 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (636), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (1108) all_0_32_32 = e1
% 108.55/57.82 |
% 108.55/57.82 | Equations (1108) can reduce 419 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (419) ~ (all_0_32_32 = e1)
% 108.55/57.82 | (658) all_0_32_32 = e0
% 108.55/57.82 |
% 108.55/57.82 | Equations (658) can reduce 889 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (650) ~ (all_0_30_30 = e0)
% 108.55/57.82 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (6692), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (575) all_0_30_30 = e3
% 108.55/57.82 |
% 108.55/57.82 | Equations (575) can reduce 1800 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (1800) ~ (all_0_30_30 = e3)
% 108.55/57.82 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (651), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (529) all_0_31_31 = e0
% 108.55/57.82 |
% 108.55/57.82 | Combining equations (529,414) yields a new equation:
% 108.55/57.82 | (531) e1 = e0
% 108.55/57.82 |
% 108.55/57.82 | Equations (531) can reduce 40 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (533) ~ (all_0_31_31 = e0)
% 108.55/57.82 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (11175), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (613) all_0_30_30 = e2
% 108.55/57.82 |
% 108.55/57.82 | Equations (613) can reduce 301 to:
% 108.55/57.82 | (447) ~ (all_0_32_32 = e2)
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 447 yields:
% 108.55/57.82 | (448) ~ (all_0_32_32 = e2)
% 108.55/57.82 |
% 108.55/57.82 | Equations (613) can reduce 202 to:
% 108.55/57.82 | (11182) ~ (all_0_34_34 = e2)
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 11182 yields:
% 108.55/57.82 | (4340) ~ (all_0_34_34 = e2)
% 108.55/57.82 |
% 108.55/57.82 | Equations (613) can reduce 417 to:
% 108.55/57.82 | (310) ~ (e2 = e1)
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (263), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (601) all_0_34_34 = e4
% 108.55/57.82 |
% 108.55/57.82 | Equations (601) can reduce 2554 to:
% 108.55/57.82 | (400) $false
% 108.55/57.82 |
% 108.55/57.82 |-The branch is then unsatisfiable
% 108.55/57.82 |-Branch two:
% 108.55/57.82 | (2554) ~ (all_0_34_34 = e4)
% 108.55/57.82 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (2555), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (2571) all_0_34_34 = e3
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 295 to:
% 108.55/57.82 | (1150) ~ (all_0_19_19 = e3)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 84 to:
% 108.55/57.82 | (3115) ~ (all_0_29_29 = e3)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 132 to:
% 108.55/57.82 | (579) ~ (all_0_32_32 = e3)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 85 to:
% 108.55/57.82 | (10723) ~ (all_0_39_39 = e3)
% 108.55/57.82 |
% 108.55/57.82 | Simplifying 10723 yields:
% 108.55/57.82 | (571) ~ (all_0_39_39 = e3)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 4340 to:
% 108.55/57.82 | (52) ~ (e3 = e2)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 421 to:
% 108.55/57.82 | (298) ~ (e3 = e1)
% 108.55/57.82 |
% 108.55/57.82 | Equations (2571) can reduce 495 to:
% 108.55/57.82 | (80) ~ (e3 = e0)
% 108.55/57.82 |
% 108.55/57.82 +-Applying beta-rule and splitting (657), into two cases.
% 108.55/57.82 |-Branch one:
% 108.55/57.82 | (658) all_0_32_32 = e0
% 108.55/57.82 |
% 108.55/57.82 | Equations (658) can reduce 242 to:
% 108.55/57.82 | (659) ~ (all_0_17_17 = e0)
% 108.55/57.82 |
% 108.55/57.82 | Equations (658) can reduce 170 to:
% 108.55/57.82 | (660) ~ (all_0_27_27 = e0)
% 108.55/57.82 |
% 108.55/57.82 | Equations (658) can reduce 211 to:
% 108.55/57.82 | (537) ~ (all_0_37_37 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 537 yields:
% 108.55/57.83 | (538) ~ (all_0_37_37 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Equations (658) can reduce 579 to:
% 108.55/57.83 | (665) ~ (e3 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 665 yields:
% 108.55/57.83 | (80) ~ (e3 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Equations (658) can reduce 448 to:
% 108.55/57.83 | (496) ~ (e2 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 496 yields:
% 108.55/57.83 | (336) ~ (e2 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Equations (658) can reduce 419 to:
% 108.55/57.83 | (498) ~ (e1 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 498 yields:
% 108.55/57.83 | (40) ~ (e1 = e0)
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (175), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (804) all_0_27_27 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 226 to:
% 108.55/57.83 | (456) ~ (all_0_17_17 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 53 to:
% 108.55/57.83 | (4420) ~ (all_0_29_29 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 4420 yields:
% 108.55/57.83 | (603) ~ (all_0_29_29 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 573 to:
% 108.55/57.83 | (255) ~ (e4 = e3)
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 475 to:
% 108.55/57.83 | (21) ~ (e4 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 857 to:
% 108.55/57.83 | (56) ~ (e4 = e1)
% 108.55/57.83 |
% 108.55/57.83 | Equations (804) can reduce 660 to:
% 108.55/57.83 | (267) ~ (e4 = e0)
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (248), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (724) all_0_35_35 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (724) can reduce 509 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (509) ~ (all_0_35_35 = e4)
% 108.55/57.83 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (1091), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (2975) all_0_36_36 = e4
% 108.55/57.83 |
% 108.55/57.83 | Combining equations (534,2975) yields a new equation:
% 108.55/57.83 | (515) e4 = e0
% 108.55/57.83 |
% 108.55/57.83 | Equations (515) can reduce 267 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (466) ~ (all_0_36_36 = e4)
% 108.55/57.83 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (534) can reduce 466 to:
% 108.55/57.83 | (543) ~ (e4 = e0)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 543 yields:
% 108.55/57.83 | (267) ~ (e4 = e0)
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (2780), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (2956) all_0_24_24 = e4
% 108.55/57.83 |
% 108.55/57.83 | Combining equations (2956,488) yields a new equation:
% 108.55/57.83 | (743) e4 = e0
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 743 yields:
% 108.55/57.83 | (515) e4 = e0
% 108.55/57.83 |
% 108.55/57.83 | Equations (515) can reduce 267 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (2960) ~ (all_0_24_24 = e4)
% 108.55/57.83 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (2961), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (941) all_0_29_29 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (941) can reduce 603 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (603) ~ (all_0_29_29 = e4)
% 108.55/57.83 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (3061), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (601) all_0_34_34 = e4
% 108.55/57.83 |
% 108.55/57.83 | Combining equations (2571,601) yields a new equation:
% 108.55/57.83 | (597) e4 = e3
% 108.55/57.83 |
% 108.55/57.83 | Equations (597) can reduce 255 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (2554) ~ (all_0_34_34 = e4)
% 108.55/57.83 | (697) all_0_39_39 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 94 to:
% 108.55/57.83 | (460) ~ (all_0_19_19 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 291 to:
% 108.55/57.83 | (603) ~ (all_0_29_29 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 63 to:
% 108.55/57.83 | (509) ~ (all_0_35_35 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 24 to:
% 108.55/57.83 | (1002) ~ (all_0_37_37 = e4)
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 571 to:
% 108.55/57.83 | (255) ~ (e4 = e3)
% 108.55/57.83 |
% 108.55/57.83 | Equations (697) can reduce 542 to:
% 108.55/57.83 | (267) ~ (e4 = e0)
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (88), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (941) all_0_29_29 = e4
% 108.55/57.83 |
% 108.55/57.83 | Equations (941) can reduce 603 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (603) ~ (all_0_29_29 = e4)
% 108.55/57.83 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (5059), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (3056) all_0_29_29 = e3
% 108.55/57.83 |
% 108.55/57.83 | Equations (3056) can reduce 3115 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (3115) ~ (all_0_29_29 = e3)
% 108.55/57.83 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (168), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (1163) all_0_19_19 = e2
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 319 to:
% 108.55/57.83 | (769) ~ (all_0_15_15 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 131 to:
% 108.55/57.83 | (396) ~ (all_0_17_17 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 172 to:
% 108.55/57.83 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 174 to:
% 108.55/57.83 | (478) ~ (all_0_29_29 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 478 yields:
% 108.55/57.83 | (479) ~ (all_0_29_29 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 460 to:
% 108.55/57.83 | (482) ~ (e4 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 482 yields:
% 108.55/57.83 | (21) ~ (e4 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Equations (1163) can reduce 1150 to:
% 108.55/57.83 | (643) ~ (e3 = e2)
% 108.55/57.83 |
% 108.55/57.83 | Simplifying 643 yields:
% 108.55/57.83 | (52) ~ (e3 = e2)
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (262), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (829) all_0_19_19 = e1
% 108.55/57.83 |
% 108.55/57.83 | Combining equations (829,1163) yields a new equation:
% 108.55/57.83 | (621) e2 = e1
% 108.55/57.83 |
% 108.55/57.83 | Equations (621) can reduce 310 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.83 | (943) ~ (all_0_19_19 = e1)
% 108.55/57.83 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.55/57.83 |
% 108.55/57.83 +-Applying beta-rule and splitting (54), into two cases.
% 108.55/57.83 |-Branch one:
% 108.55/57.83 | (1191) all_0_18_18 = e2
% 108.55/57.83 |
% 108.55/57.83 | Equations (1191) can reduce 638 to:
% 108.55/57.83 | (400) $false
% 108.55/57.83 |
% 108.55/57.83 |-The branch is then unsatisfiable
% 108.55/57.83 |-Branch two:
% 108.55/57.84 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.84 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (944), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (8658) all_0_24_24 = e1
% 108.55/57.84 |
% 108.55/57.84 | Combining equations (488,8658) yields a new equation:
% 108.55/57.84 | (531) e1 = e0
% 108.55/57.84 |
% 108.55/57.84 | Equations (531) can reduce 40 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (432) ~ (all_0_24_24 = e1)
% 108.55/57.84 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (8663), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (4599) all_0_29_29 = e1
% 108.55/57.84 |
% 108.55/57.84 | Equations (4599) can reduce 7 to:
% 108.55/57.84 | (1519) ~ (all_0_25_25 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (4599) can reduce 603 to:
% 108.55/57.84 | (764) ~ (e4 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 764 yields:
% 108.55/57.84 | (56) ~ (e4 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (4599) can reduce 3115 to:
% 108.55/57.84 | (824) ~ (e3 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 824 yields:
% 108.55/57.84 | (298) ~ (e3 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (4599) can reduce 479 to:
% 108.55/57.84 | (766) ~ (e2 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 766 yields:
% 108.55/57.84 | (310) ~ (e2 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (4599) can reduce 493 to:
% 108.55/57.84 | (40) ~ (e1 = e0)
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (3929), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (6267) all_0_23_23 = e2
% 108.55/57.84 |
% 108.55/57.84 | Combining equations (427,6267) yields a new equation:
% 108.55/57.84 | (621) e2 = e1
% 108.55/57.84 |
% 108.55/57.84 | Equations (621) can reduce 310 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (6271) ~ (all_0_23_23 = e2)
% 108.55/57.84 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (6272), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (1118) all_0_28_28 = e2
% 108.55/57.84 |
% 108.55/57.84 | Equations (1118) can reduce 477 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (477) ~ (all_0_28_28 = e2)
% 108.55/57.84 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (6293), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (637) all_0_33_33 = e2
% 108.55/57.84 |
% 108.55/57.84 | Combining equations (1322,637) yields a new equation:
% 108.55/57.84 | (1531) e4 = e2
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 1531 yields:
% 108.55/57.84 | (798) e4 = e2
% 108.55/57.84 |
% 108.55/57.84 | Equations (798) can reduce 21 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (671) ~ (all_0_33_33 = e2)
% 108.55/57.84 | (3218) all_0_38_38 = e2
% 108.55/57.84 |
% 108.55/57.84 | Equations (3218) can reduce 38 to:
% 108.55/57.84 | (638) ~ (all_0_18_18 = e2)
% 108.55/57.84 |
% 108.55/57.84 | Equations (3218) can reduce 210 to:
% 108.55/57.84 | (719) ~ (all_0_35_35 = e2)
% 108.55/57.84 |
% 108.55/57.84 | Equations (3218) can reduce 97 to:
% 108.55/57.84 | (450) ~ (all_0_37_37 = e2)
% 108.55/57.84 |
% 108.55/57.84 | Equations (3218) can reduce 438 to:
% 108.55/57.84 | (310) ~ (e2 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (3218) can reduce 540 to:
% 108.55/57.84 | (336) ~ (e2 = e0)
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (77), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (594) ~ (all_0_33_33 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (1322) can reduce 594 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (1322) all_0_33_33 = e4
% 108.55/57.84 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (12), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (607) ~ (all_0_39_39 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (697) can reduce 607 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (697) all_0_39_39 = e4
% 108.55/57.84 | (5186) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (275), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (594) ~ (all_0_33_33 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (1322) can reduce 594 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (1322) all_0_33_33 = e4
% 108.55/57.84 | (4355) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (288), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (607) ~ (all_0_39_39 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (697) can reduce 607 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (697) all_0_39_39 = e4
% 108.55/57.84 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (253), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (785) ~ (all_0_27_27 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (804) can reduce 785 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (804) all_0_27_27 = e4
% 108.55/57.84 | (998) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e1)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (183), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (607) ~ (all_0_39_39 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (697) can reduce 607 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (697) all_0_39_39 = e4
% 108.55/57.84 | (11789) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (166), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (607) ~ (all_0_39_39 = e4)
% 108.55/57.84 |
% 108.55/57.84 | Equations (697) can reduce 607 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (697) all_0_39_39 = e4
% 108.55/57.84 | (16181) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (249), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (980) all_0_17_17 = e1
% 108.55/57.84 |
% 108.55/57.84 | Equations (980) can reduce 344 to:
% 108.55/57.84 | (679) ~ (all_0_15_15 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (980) can reduce 9 to:
% 108.55/57.84 | (1549) ~ (all_0_18_18 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 1549 yields:
% 108.55/57.84 | (428) ~ (all_0_18_18 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (980) can reduce 456 to:
% 108.55/57.84 | (764) ~ (e4 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 764 yields:
% 108.55/57.84 | (56) ~ (e4 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Equations (980) can reduce 396 to:
% 108.55/57.84 | (766) ~ (e2 = e1)
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 766 yields:
% 108.55/57.84 | (310) ~ (e2 = e1)
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (59), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (847) all_0_37_37 = e4
% 108.55/57.84 |
% 108.55/57.84 | Equations (847) can reduce 1002 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (1002) ~ (all_0_37_37 = e4)
% 108.55/57.84 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (198), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (1297) all_0_15_15 = e3
% 108.55/57.84 |
% 108.55/57.84 | Equations (1297) can reduce 572 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (572) ~ (all_0_15_15 = e3)
% 108.55/57.84 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.55/57.84 |
% 108.55/57.84 +-Applying beta-rule and splitting (142), into two cases.
% 108.55/57.84 |-Branch one:
% 108.55/57.84 | (855) all_0_17_17 = e3
% 108.55/57.84 |
% 108.55/57.84 | Combining equations (855,980) yields a new equation:
% 108.55/57.84 | (1113) e3 = e1
% 108.55/57.84 |
% 108.55/57.84 | Simplifying 1113 yields:
% 108.55/57.84 | (928) e3 = e1
% 108.55/57.84 |
% 108.55/57.84 | Equations (928) can reduce 298 to:
% 108.55/57.84 | (400) $false
% 108.55/57.84 |
% 108.55/57.84 |-The branch is then unsatisfiable
% 108.55/57.84 |-Branch two:
% 108.55/57.84 | (919) ~ (all_0_17_17 = e3)
% 108.55/57.84 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.67/57.84 |
% 108.67/57.84 | Equations (980) can reduce 919 to:
% 108.67/57.84 | (824) ~ (e3 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Simplifying 824 yields:
% 108.67/57.84 | (298) ~ (e3 = e1)
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (148), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (761) all_0_35_35 = e1
% 108.67/57.84 |
% 108.67/57.84 | Equations (761) can reduce 39 to:
% 108.67/57.84 | (679) ~ (all_0_15_15 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Equations (761) can reduce 309 to:
% 108.67/57.84 | (762) ~ (all_0_37_37 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Simplifying 762 yields:
% 108.67/57.84 | (763) ~ (all_0_37_37 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Equations (761) can reduce 719 to:
% 108.67/57.84 | (766) ~ (e2 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Simplifying 766 yields:
% 108.67/57.84 | (310) ~ (e2 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Equations (761) can reduce 536 to:
% 108.67/57.84 | (40) ~ (e1 = e0)
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (254), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (728) all_0_35_35 = e3
% 108.67/57.84 |
% 108.67/57.84 | Combining equations (728,761) yields a new equation:
% 108.67/57.84 | (1113) e3 = e1
% 108.67/57.84 |
% 108.67/57.84 | Simplifying 1113 yields:
% 108.67/57.84 | (928) e3 = e1
% 108.67/57.84 |
% 108.67/57.84 | Equations (928) can reduce 298 to:
% 108.67/57.84 | (400) $false
% 108.67/57.84 |
% 108.67/57.84 |-The branch is then unsatisfiable
% 108.67/57.84 |-Branch two:
% 108.67/57.84 | (585) ~ (all_0_35_35 = e3)
% 108.67/57.84 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (4535), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (4536) all_0_36_36 = e3
% 108.67/57.84 |
% 108.67/57.84 | Combining equations (534,4536) yields a new equation:
% 108.67/57.84 | (648) e3 = e0
% 108.67/57.84 |
% 108.67/57.84 | Equations (648) can reduce 80 to:
% 108.67/57.84 | (400) $false
% 108.67/57.84 |
% 108.67/57.84 |-The branch is then unsatisfiable
% 108.67/57.84 |-Branch two:
% 108.67/57.84 | (4540) ~ (all_0_36_36 = e3)
% 108.67/57.84 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (4541), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (936) all_0_37_37 = e3
% 108.67/57.84 |
% 108.67/57.84 | Equations (936) can reduce 1002 to:
% 108.67/57.84 | (558) ~ (e4 = e3)
% 108.67/57.84 |
% 108.67/57.84 | Simplifying 558 yields:
% 108.67/57.84 | (255) ~ (e4 = e3)
% 108.67/57.84 |
% 108.67/57.84 | Equations (936) can reduce 450 to:
% 108.67/57.84 | (52) ~ (e3 = e2)
% 108.67/57.84 |
% 108.67/57.84 | Equations (936) can reduce 763 to:
% 108.67/57.84 | (298) ~ (e3 = e1)
% 108.67/57.84 |
% 108.67/57.84 | Equations (936) can reduce 538 to:
% 108.67/57.84 | (80) ~ (e3 = e0)
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (2769), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (3117) all_0_16_16 = e3
% 108.67/57.84 |
% 108.67/57.84 | Combining equations (3117,454) yields a new equation:
% 108.67/57.84 | (597) e4 = e3
% 108.67/57.84 |
% 108.67/57.84 | Equations (597) can reduce 255 to:
% 108.67/57.84 | (400) $false
% 108.67/57.84 |
% 108.67/57.84 |-The branch is then unsatisfiable
% 108.67/57.84 |-Branch two:
% 108.67/57.84 | (3121) ~ (all_0_16_16 = e3)
% 108.67/57.84 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.67/57.84 |
% 108.67/57.84 | Equations (454) can reduce 3121 to:
% 108.67/57.84 | (255) ~ (e4 = e3)
% 108.67/57.84 |
% 108.67/57.84 +-Applying beta-rule and splitting (251), into two cases.
% 108.67/57.84 |-Branch one:
% 108.67/57.84 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1278), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1279), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1280), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1281), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1282), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1283), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1284), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1285), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1286), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1287), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1288), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1289), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1290), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1291), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1292), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1293), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1294), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1295), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1296) yields:
% 108.67/57.85 | (1297) all_0_15_15 = e3
% 108.67/57.85 | (550) all_0_21_21 = e4
% 108.67/57.85 | (1299) ~ (all_0_16_16 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Combining equations (550,557) yields a new equation:
% 108.67/57.85 | (596) e4 = e3
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 596 yields:
% 108.67/57.85 | (597) e4 = e3
% 108.67/57.85 |
% 108.67/57.85 | Equations (597) can reduce 255 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1303) yields:
% 108.67/57.85 | (1297) all_0_15_15 = e3
% 108.67/57.85 | (550) all_0_21_21 = e4
% 108.67/57.85 | (1306) ~ (all_0_20_20 = e3)
% 108.67/57.85 |
% 108.67/57.85 | Combining equations (550,557) yields a new equation:
% 108.67/57.85 | (596) e4 = e3
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 596 yields:
% 108.67/57.85 | (597) e4 = e3
% 108.67/57.85 |
% 108.67/57.85 | Equations (597) can reduce 255 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1310) yields:
% 108.67/57.85 | (711) all_0_15_15 = e2
% 108.67/57.85 | (804) all_0_27_27 = e4
% 108.67/57.85 | (456) ~ (all_0_17_17 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Equations (711) can reduce 769 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1315) yields:
% 108.67/57.85 | (711) all_0_15_15 = e2
% 108.67/57.85 | (804) all_0_27_27 = e4
% 108.67/57.85 | (473) ~ (all_0_25_25 = e2)
% 108.67/57.85 |
% 108.67/57.85 | Equations (711) can reduce 769 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1320) yields:
% 108.67/57.85 | (969) all_0_15_15 = e1
% 108.67/57.85 | (1322) all_0_33_33 = e4
% 108.67/57.85 | (458) ~ (all_0_18_18 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Equations (969) can reduce 679 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1326) yields:
% 108.67/57.85 | (969) all_0_15_15 = e1
% 108.67/57.85 | (1322) all_0_33_33 = e4
% 108.67/57.85 | (417) ~ (all_0_30_30 = e1)
% 108.67/57.85 |
% 108.67/57.85 | Equations (969) can reduce 679 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (1332) yields:
% 108.67/57.85 | (736) all_0_15_15 = e0
% 108.67/57.85 | (697) all_0_39_39 = e4
% 108.67/57.85 | (460) ~ (all_0_19_19 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 90 to:
% 108.67/57.85 | (10459) ~ (all_0_18_18 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 10459 yields:
% 108.67/57.85 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 501 to:
% 108.67/57.85 | (543) ~ (e4 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 543 yields:
% 108.67/57.85 | (267) ~ (e4 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 769 to:
% 108.67/57.85 | (496) ~ (e2 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 496 yields:
% 108.67/57.85 | (336) ~ (e2 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 679 to:
% 108.67/57.85 | (498) ~ (e1 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 498 yields:
% 108.67/57.85 | (40) ~ (e1 = e0)
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (159), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 739 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (736) all_0_15_15 = e0
% 108.67/57.85 | (11294) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (17), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.85 |
% 108.67/57.85 | Equations (736) can reduce 739 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (736) all_0_15_15 = e0
% 108.67/57.85 | (2759) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (281), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (785) ~ (all_0_27_27 = e4)
% 108.67/57.85 |
% 108.67/57.85 | Equations (804) can reduce 785 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (804) all_0_27_27 = e4
% 108.67/57.85 | (1017) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (2759), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (11706) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (11706), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (3541) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12
% 108.67/57.85 |
% 108.67/57.85 | Applying alpha-rule on (3541) yields:
% 108.67/57.85 | (3542) all_0_13_13 = all_0_19_19
% 108.67/57.85 | (1039) ~ (all_0_12_12 = e3)
% 108.67/57.85 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.67/57.85 |
% 108.67/57.85 | From (1163) and (3544) follows:
% 108.67/57.85 | (3915) op(e2, e4) = all_0_12_12
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (340), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (756) all_0_18_18 = e0
% 108.67/57.85 |
% 108.67/57.85 | Equations (756) can reduce 1141 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.85 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (3122), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (855) all_0_17_17 = e3
% 108.67/57.85 |
% 108.67/57.85 | Combining equations (855,980) yields a new equation:
% 108.67/57.85 | (1113) e3 = e1
% 108.67/57.85 |
% 108.67/57.85 | Simplifying 1113 yields:
% 108.67/57.85 | (928) e3 = e1
% 108.67/57.85 |
% 108.67/57.85 | Equations (928) can reduce 298 to:
% 108.67/57.85 | (400) $false
% 108.67/57.85 |
% 108.67/57.85 |-The branch is then unsatisfiable
% 108.67/57.85 |-Branch two:
% 108.67/57.85 | (919) ~ (all_0_17_17 = e3)
% 108.67/57.85 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 108.67/57.85 |
% 108.67/57.85 +-Applying beta-rule and splitting (1142), into two cases.
% 108.67/57.85 |-Branch one:
% 108.67/57.85 | (4698) all_0_23_23 = e0
% 108.67/57.85 |
% 108.67/57.86 | Combining equations (4698,427) yields a new equation:
% 108.67/57.86 | (531) e1 = e0
% 108.67/57.86 |
% 108.67/57.86 | Equations (531) can reduce 40 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (4702) ~ (all_0_23_23 = e0)
% 108.67/57.86 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (3176), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (1147) all_0_18_18 = e3
% 108.67/57.86 |
% 108.67/57.86 | Equations (1147) can reduce 302 to:
% 108.67/57.86 | (7483) ~ (all_0_28_28 = e3)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 7483 yields:
% 108.67/57.86 | (893) ~ (all_0_28_28 = e3)
% 108.67/57.86 |
% 108.67/57.86 | Equations (1147) can reduce 458 to:
% 108.67/57.86 | (558) ~ (e4 = e3)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 558 yields:
% 108.67/57.86 | (255) ~ (e4 = e3)
% 108.67/57.86 |
% 108.67/57.86 | Equations (1147) can reduce 638 to:
% 108.67/57.86 | (52) ~ (e3 = e2)
% 108.67/57.86 |
% 108.67/57.86 | Equations (1147) can reduce 428 to:
% 108.67/57.86 | (298) ~ (e3 = e1)
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (4703), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (1125) all_0_28_28 = e0
% 108.67/57.86 |
% 108.67/57.86 | Equations (1125) can reduce 893 to:
% 108.67/57.86 | (665) ~ (e3 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 665 yields:
% 108.67/57.86 | (80) ~ (e3 = e0)
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (57), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (1698) all_0_25_25 = e3
% 108.67/57.86 |
% 108.67/57.86 | From (1698) and (311) follows:
% 108.67/57.86 | (11701) op(e2, e4) = e3
% 108.67/57.86 |
% 108.67/57.86 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.67/57.86 | (1044) all_0_12_12 = e3
% 108.67/57.86 |
% 108.67/57.86 | Equations (1044) can reduce 1039 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (577) ~ (all_0_25_25 = e3)
% 108.67/57.86 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (3006), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (3007) all_0_26_26 = e3
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (471,3007) yields a new equation:
% 108.67/57.86 | (615) e3 = e2
% 108.67/57.86 |
% 108.67/57.86 | Equations (615) can reduce 52 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (3010) ~ (all_0_26_26 = e3)
% 108.67/57.86 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (3011), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (808) all_0_27_27 = e3
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (804,808) yields a new equation:
% 108.67/57.86 | (596) e4 = e3
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 596 yields:
% 108.67/57.86 | (597) e4 = e3
% 108.67/57.86 |
% 108.67/57.86 | Equations (597) can reduce 255 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (573) ~ (all_0_27_27 = e3)
% 108.67/57.86 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (3016), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (1106) all_0_28_28 = e3
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (1125,1106) yields a new equation:
% 108.67/57.86 | (648) e3 = e0
% 108.67/57.86 |
% 108.67/57.86 | Equations (648) can reduce 80 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (893) ~ (all_0_28_28 = e3)
% 108.67/57.86 | (3056) all_0_29_29 = e3
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (4599,3056) yields a new equation:
% 108.67/57.86 | (928) e3 = e1
% 108.67/57.86 |
% 108.67/57.86 | Equations (928) can reduce 298 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (758) ~ (all_0_28_28 = e0)
% 108.67/57.86 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (4707), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (1463) all_0_33_33 = e0
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (1322,1463) yields a new equation:
% 108.67/57.86 | (743) e4 = e0
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 743 yields:
% 108.67/57.86 | (515) e4 = e0
% 108.67/57.86 |
% 108.67/57.86 | Equations (515) can reduce 267 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (2612) ~ (all_0_33_33 = e0)
% 108.67/57.86 | (3225) all_0_38_38 = e0
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (3218,3225) yields a new equation:
% 108.67/57.86 | (524) e2 = e0
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 524 yields:
% 108.67/57.86 | (525) e2 = e0
% 108.67/57.86 |
% 108.67/57.86 | Equations (525) can reduce 336 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (1189) ~ (all_0_18_18 = e3)
% 108.67/57.86 | (1159) all_0_19_19 = e3
% 108.67/57.86 |
% 108.67/57.86 | Combining equations (1159,1163) yields a new equation:
% 108.67/57.86 | (614) e3 = e2
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 614 yields:
% 108.67/57.86 | (615) e3 = e2
% 108.67/57.86 |
% 108.67/57.86 | Equations (615) can reduce 52 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.67/57.86 |
% 108.67/57.86 | Applying alpha-rule on (11714) yields:
% 108.67/57.86 | (3542) all_0_13_13 = all_0_19_19
% 108.67/57.86 | (706) ~ (all_0_19_19 = e2)
% 108.67/57.86 |
% 108.67/57.86 | Equations (1163) can reduce 706 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (11718) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1)
% 108.67/57.86 |
% 108.67/57.86 | Applying alpha-rule on (11718) yields:
% 108.67/57.86 | (3553) all_0_14_14 = all_0_35_35
% 108.67/57.86 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.86 |
% 108.67/57.86 | Equations (761) can reduce 1138 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Applying alpha-rule on (1339) yields:
% 108.67/57.86 | (736) all_0_15_15 = e0
% 108.67/57.86 | (697) all_0_39_39 = e4
% 108.67/57.86 | (536) ~ (all_0_35_35 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (736) can reduce 90 to:
% 108.67/57.86 | (10459) ~ (all_0_18_18 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 10459 yields:
% 108.67/57.86 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (736) can reduce 501 to:
% 108.67/57.86 | (543) ~ (e4 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 543 yields:
% 108.67/57.86 | (267) ~ (e4 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (736) can reduce 769 to:
% 108.67/57.86 | (496) ~ (e2 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Simplifying 496 yields:
% 108.67/57.86 | (336) ~ (e2 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (761) can reduce 536 to:
% 108.67/57.86 | (40) ~ (e1 = e0)
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (159), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (736) can reduce 739 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (736) all_0_15_15 = e0
% 108.67/57.86 | (11294) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e2) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e3)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (17), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.86 |
% 108.67/57.86 | Equations (736) can reduce 739 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (736) all_0_15_15 = e0
% 108.67/57.86 | (2759) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)) | (all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1))
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (281), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (785) ~ (all_0_27_27 = e4)
% 108.67/57.86 |
% 108.67/57.86 | Equations (804) can reduce 785 to:
% 108.67/57.86 | (400) $false
% 108.67/57.86 |
% 108.67/57.86 |-The branch is then unsatisfiable
% 108.67/57.86 |-Branch two:
% 108.67/57.86 | (804) all_0_27_27 = e4
% 108.67/57.86 | (1017) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (2759), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (11706) (all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12) | (all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 108.67/57.86 |
% 108.67/57.86 +-Applying beta-rule and splitting (11706), into two cases.
% 108.67/57.86 |-Branch one:
% 108.67/57.86 | (3541) all_0_13_13 = all_0_19_19 & ~ (all_0_12_12 = e3) & op(all_0_19_19, e4) = all_0_12_12
% 108.67/57.86 |
% 108.67/57.86 | Applying alpha-rule on (3541) yields:
% 108.67/57.86 | (3542) all_0_13_13 = all_0_19_19
% 108.67/57.86 | (1039) ~ (all_0_12_12 = e3)
% 108.67/57.87 | (3544) op(all_0_19_19, e4) = all_0_12_12
% 108.67/57.87 |
% 108.67/57.87 | From (1163) and (3544) follows:
% 108.67/57.87 | (3915) op(e2, e4) = all_0_12_12
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (340), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (756) all_0_18_18 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (756) can reduce 1141 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.87 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (3122), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (855) all_0_17_17 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (855,980) yields a new equation:
% 108.67/57.87 | (1113) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 1113 yields:
% 108.67/57.87 | (928) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Equations (928) can reduce 298 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (919) ~ (all_0_17_17 = e3)
% 108.67/57.87 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (1142), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (4698) all_0_23_23 = e0
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (4698,427) yields a new equation:
% 108.67/57.87 | (531) e1 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (531) can reduce 40 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (4702) ~ (all_0_23_23 = e0)
% 108.67/57.87 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (3176), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (1147) all_0_18_18 = e3
% 108.67/57.87 |
% 108.67/57.87 | Equations (1147) can reduce 302 to:
% 108.67/57.87 | (7483) ~ (all_0_28_28 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 7483 yields:
% 108.67/57.87 | (893) ~ (all_0_28_28 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Equations (1147) can reduce 458 to:
% 108.67/57.87 | (558) ~ (e4 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 558 yields:
% 108.67/57.87 | (255) ~ (e4 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Equations (1147) can reduce 638 to:
% 108.67/57.87 | (52) ~ (e3 = e2)
% 108.67/57.87 |
% 108.67/57.87 | Equations (1147) can reduce 428 to:
% 108.67/57.87 | (298) ~ (e3 = e1)
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (4703), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (1125) all_0_28_28 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (1125) can reduce 893 to:
% 108.67/57.87 | (665) ~ (e3 = e0)
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 665 yields:
% 108.67/57.87 | (80) ~ (e3 = e0)
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (57), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (1698) all_0_25_25 = e3
% 108.67/57.87 |
% 108.67/57.87 | From (1698) and (311) follows:
% 108.67/57.87 | (11701) op(e2, e4) = e3
% 108.67/57.87 |
% 108.67/57.87 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.67/57.87 | (1044) all_0_12_12 = e3
% 108.67/57.87 |
% 108.67/57.87 | Equations (1044) can reduce 1039 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (577) ~ (all_0_25_25 = e3)
% 108.67/57.87 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (3006), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (3007) all_0_26_26 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (471,3007) yields a new equation:
% 108.67/57.87 | (615) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Equations (615) can reduce 52 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (3010) ~ (all_0_26_26 = e3)
% 108.67/57.87 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (3011), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (808) all_0_27_27 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (804,808) yields a new equation:
% 108.67/57.87 | (596) e4 = e3
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 596 yields:
% 108.67/57.87 | (597) e4 = e3
% 108.67/57.87 |
% 108.67/57.87 | Equations (597) can reduce 255 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (573) ~ (all_0_27_27 = e3)
% 108.67/57.87 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (3016), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (1106) all_0_28_28 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (1125,1106) yields a new equation:
% 108.67/57.87 | (648) e3 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (648) can reduce 80 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (893) ~ (all_0_28_28 = e3)
% 108.67/57.87 | (3056) all_0_29_29 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (4599,3056) yields a new equation:
% 108.67/57.87 | (928) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Equations (928) can reduce 298 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (758) ~ (all_0_28_28 = e0)
% 108.67/57.87 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 108.67/57.87 |
% 108.67/57.87 +-Applying beta-rule and splitting (4707), into two cases.
% 108.67/57.87 |-Branch one:
% 108.67/57.87 | (1463) all_0_33_33 = e0
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (1322,1463) yields a new equation:
% 108.67/57.87 | (743) e4 = e0
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 743 yields:
% 108.67/57.87 | (515) e4 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (515) can reduce 267 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (2612) ~ (all_0_33_33 = e0)
% 108.67/57.87 | (3225) all_0_38_38 = e0
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (3218,3225) yields a new equation:
% 108.67/57.87 | (524) e2 = e0
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 524 yields:
% 108.67/57.87 | (525) e2 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (525) can reduce 336 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1189) ~ (all_0_18_18 = e3)
% 108.67/57.87 | (1159) all_0_19_19 = e3
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (1159,1163) yields a new equation:
% 108.67/57.87 | (614) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 614 yields:
% 108.67/57.87 | (615) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Equations (615) can reduce 52 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (11714) all_0_13_13 = all_0_19_19 & ~ (all_0_19_19 = e2)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (11714) yields:
% 108.67/57.87 | (3542) all_0_13_13 = all_0_19_19
% 108.67/57.87 | (706) ~ (all_0_19_19 = e2)
% 108.67/57.87 |
% 108.67/57.87 | Equations (1163) can reduce 706 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (11718) all_0_14_14 = all_0_35_35 & ~ (all_0_35_35 = e1)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (11718) yields:
% 108.67/57.87 | (3553) all_0_14_14 = all_0_35_35
% 108.67/57.87 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.87 |
% 108.67/57.87 | Equations (761) can reduce 1138 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1346) yields:
% 108.67/57.87 | (1347) all_0_21_21 = e2
% 108.67/57.87 | (808) all_0_27_27 = e3
% 108.67/57.87 | (925) ~ (all_0_22_22 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,1347) yields a new equation:
% 108.67/57.87 | (614) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 614 yields:
% 108.67/57.87 | (615) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Equations (615) can reduce 52 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1352) yields:
% 108.67/57.87 | (1347) all_0_21_21 = e2
% 108.67/57.87 | (808) all_0_27_27 = e3
% 108.67/57.87 | (1355) ~ (all_0_26_26 = e2)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,1347) yields a new equation:
% 108.67/57.87 | (614) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 614 yields:
% 108.67/57.87 | (615) e3 = e2
% 108.67/57.87 |
% 108.67/57.87 | Equations (615) can reduce 52 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1358) yields:
% 108.67/57.87 | (1359) all_0_21_21 = e1
% 108.67/57.87 | (1360) all_0_33_33 = e3
% 108.67/57.87 | (1361) ~ (all_0_23_23 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,1359) yields a new equation:
% 108.67/57.87 | (1113) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 1113 yields:
% 108.67/57.87 | (928) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Equations (928) can reduce 298 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1367) yields:
% 108.67/57.87 | (1359) all_0_21_21 = e1
% 108.67/57.87 | (1360) all_0_33_33 = e3
% 108.67/57.87 | (1370) ~ (all_0_31_31 = e1)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,1359) yields a new equation:
% 108.67/57.87 | (1113) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 1113 yields:
% 108.67/57.87 | (928) e3 = e1
% 108.67/57.87 |
% 108.67/57.87 | Equations (928) can reduce 298 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1376) yields:
% 108.67/57.87 | (519) all_0_21_21 = e0
% 108.67/57.87 | (701) all_0_39_39 = e3
% 108.67/57.87 | (1379) ~ (all_0_24_24 = e3)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,519) yields a new equation:
% 108.67/57.87 | (647) e3 = e0
% 108.67/57.87 |
% 108.67/57.87 | Simplifying 647 yields:
% 108.67/57.87 | (648) e3 = e0
% 108.67/57.87 |
% 108.67/57.87 | Equations (648) can reduce 80 to:
% 108.67/57.87 | (400) $false
% 108.67/57.87 |
% 108.67/57.87 |-The branch is then unsatisfiable
% 108.67/57.87 |-Branch two:
% 108.67/57.87 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 108.67/57.87 |
% 108.67/57.87 | Applying alpha-rule on (1385) yields:
% 108.67/57.87 | (519) all_0_21_21 = e0
% 108.67/57.87 | (701) all_0_39_39 = e3
% 108.67/57.87 | (1388) ~ (all_0_36_36 = e0)
% 108.67/57.87 |
% 108.67/57.87 | Combining equations (557,519) yields a new equation:
% 108.67/57.87 | (647) e3 = e0
% 108.67/57.87 |
% 108.67/57.88 | Simplifying 647 yields:
% 108.67/57.88 | (648) e3 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (648) can reduce 80 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1394) yields:
% 108.67/57.88 | (816) all_0_27_27 = e1
% 108.67/57.88 | (637) all_0_33_33 = e2
% 108.67/57.88 | (477) ~ (all_0_28_28 = e2)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (816,804) yields a new equation:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1322,637) yields a new equation:
% 108.67/57.88 | (1531) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 1531 yields:
% 108.67/57.88 | (798) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (798,838) yields a new equation:
% 108.67/57.88 | (620) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 620 yields:
% 108.67/57.88 | (621) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (621) can reduce 310 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1421) yields:
% 108.67/57.88 | (816) all_0_27_27 = e1
% 108.67/57.88 | (637) all_0_33_33 = e2
% 108.67/57.88 | (419) ~ (all_0_32_32 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (816,804) yields a new equation:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1322,637) yields a new equation:
% 108.67/57.88 | (1531) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 1531 yields:
% 108.67/57.88 | (798) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (798,838) yields a new equation:
% 108.67/57.88 | (620) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 620 yields:
% 108.67/57.88 | (621) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (621) can reduce 310 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1448) yields:
% 108.67/57.88 | (995) all_0_27_27 = e0
% 108.67/57.88 | (705) all_0_39_39 = e2
% 108.67/57.88 | (479) ~ (all_0_29_29 = e2)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (995,804) yields a new equation:
% 108.67/57.88 | (515) e4 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (697,705) yields a new equation:
% 108.67/57.88 | (1531) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 1531 yields:
% 108.67/57.88 | (798) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (798,515) yields a new equation:
% 108.67/57.88 | (524) e2 = e0
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 524 yields:
% 108.67/57.88 | (525) e2 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (525) can reduce 336 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1455) yields:
% 108.67/57.88 | (995) all_0_27_27 = e0
% 108.67/57.88 | (705) all_0_39_39 = e2
% 108.67/57.88 | (538) ~ (all_0_37_37 = e0)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (995,804) yields a new equation:
% 108.67/57.88 | (515) e4 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (697,705) yields a new equation:
% 108.67/57.88 | (1531) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 1531 yields:
% 108.67/57.88 | (798) e4 = e2
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (798,515) yields a new equation:
% 108.67/57.88 | (524) e2 = e0
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 524 yields:
% 108.67/57.88 | (525) e2 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (525) can reduce 336 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1462) yields:
% 108.67/57.88 | (1463) all_0_33_33 = e0
% 108.67/57.88 | (1252) all_0_39_39 = e1
% 108.67/57.88 | (421) ~ (all_0_34_34 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1463,1322) yields a new equation:
% 108.67/57.88 | (515) e4 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1252,697) yields a new equation:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (838,515) yields a new equation:
% 108.67/57.88 | (530) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 530 yields:
% 108.67/57.88 | (531) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (531) can reduce 40 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 108.67/57.88 |
% 108.67/57.88 | Applying alpha-rule on (1469) yields:
% 108.67/57.88 | (1463) all_0_33_33 = e0
% 108.67/57.88 | (1252) all_0_39_39 = e1
% 108.67/57.88 | (540) ~ (all_0_38_38 = e0)
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1463,1322) yields a new equation:
% 108.67/57.88 | (515) e4 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1252,697) yields a new equation:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (838,515) yields a new equation:
% 108.67/57.88 | (530) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 530 yields:
% 108.67/57.88 | (531) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (531) can reduce 40 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1127) ~ (all_0_37_37 = e3)
% 108.67/57.88 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (4729), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (3208) all_0_38_38 = e3
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (3208,3218) yields a new equation:
% 108.67/57.88 | (614) e3 = e2
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 614 yields:
% 108.67/57.88 | (615) e3 = e2
% 108.67/57.88 |
% 108.67/57.88 | Equations (615) can reduce 52 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (3095) ~ (all_0_38_38 = e3)
% 108.67/57.88 | (701) all_0_39_39 = e3
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (697,701) yields a new equation:
% 108.67/57.88 | (596) e4 = e3
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 596 yields:
% 108.67/57.88 | (597) e4 = e3
% 108.67/57.88 |
% 108.67/57.88 | Equations (597) can reduce 255 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.88 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (128), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (724) all_0_35_35 = e4
% 108.67/57.88 |
% 108.67/57.88 | Equations (724) can reduce 509 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (509) ~ (all_0_35_35 = e4)
% 108.67/57.88 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (727), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (728) all_0_35_35 = e3
% 108.67/57.88 |
% 108.67/57.88 | Equations (728) can reduce 1138 to:
% 108.67/57.88 | (298) ~ (e3 = e1)
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (114), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (969) all_0_15_15 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 679 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (679) ~ (all_0_15_15 = e1)
% 108.67/57.88 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1402), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (1490) all_0_20_20 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (1490,500) yields a new equation:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (838) can reduce 56 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (429) ~ (all_0_20_20 = e1)
% 108.67/57.88 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1494), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (1495) all_0_25_25 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (1495) can reduce 1519 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1519) ~ (all_0_25_25 = e1)
% 108.67/57.88 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1520), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (1521) all_0_30_30 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (613,1521) yields a new equation:
% 108.67/57.88 | (620) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 620 yields:
% 108.67/57.88 | (621) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (621) can reduce 310 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (417) ~ (all_0_30_30 = e1)
% 108.67/57.88 | (761) all_0_35_35 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (761,728) yields a new equation:
% 108.67/57.88 | (928) e3 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (928) can reduce 298 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (585) ~ (all_0_35_35 = e3)
% 108.67/57.88 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (731), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (732) all_0_35_35 = e2
% 108.67/57.88 |
% 108.67/57.88 | Equations (732) can reduce 719 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (719) ~ (all_0_35_35 = e2)
% 108.67/57.88 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (735), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (761) all_0_35_35 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (761) can reduce 1138 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.88 | (1139) all_0_35_35 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (1139) can reduce 536 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (817) ~ (all_0_17_17 = e1)
% 108.67/57.88 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (305), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (969) all_0_15_15 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 90 to:
% 108.67/57.88 | (1549) ~ (all_0_18_18 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 1549 yields:
% 108.67/57.88 | (428) ~ (all_0_18_18 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 501 to:
% 108.67/57.88 | (764) ~ (e4 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 764 yields:
% 108.67/57.88 | (56) ~ (e4 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 572 to:
% 108.67/57.88 | (824) ~ (e3 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 824 yields:
% 108.67/57.88 | (298) ~ (e3 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 769 to:
% 108.67/57.88 | (766) ~ (e2 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 766 yields:
% 108.67/57.88 | (310) ~ (e2 = e1)
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1085), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (1094) all_0_22_22 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (442,1094) yields a new equation:
% 108.67/57.88 | (620) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 620 yields:
% 108.67/57.88 | (621) e2 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (621) can reduce 310 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (1098) ~ (all_0_22_22 = e1)
% 108.67/57.88 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1099), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (816) all_0_27_27 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (804,816) yields a new equation:
% 108.67/57.88 | (975) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Simplifying 975 yields:
% 108.67/57.88 | (838) e4 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (838) can reduce 56 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (857) ~ (all_0_27_27 = e1)
% 108.67/57.88 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1105), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (1108) all_0_32_32 = e1
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (658,1108) yields a new equation:
% 108.67/57.88 | (531) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (531) can reduce 40 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (419) ~ (all_0_32_32 = e1)
% 108.67/57.88 | (1112) all_0_37_37 = e1
% 108.67/57.88 |
% 108.67/57.88 | Equations (1112) can reduce 309 to:
% 108.67/57.88 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Equations (1112) can reduce 538 to:
% 108.67/57.88 | (40) ~ (e1 = e0)
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (142), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (855) all_0_17_17 = e3
% 108.67/57.88 |
% 108.67/57.88 | Equations (855) can reduce 659 to:
% 108.67/57.88 | (80) ~ (e3 = e0)
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (92), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (736) all_0_15_15 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (736,969) yields a new equation:
% 108.67/57.88 | (531) e1 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (531) can reduce 40 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.88 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (326), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (679) ~ (all_0_15_15 = e1)
% 108.67/57.88 |
% 108.67/57.88 | Equations (969) can reduce 679 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (969) all_0_15_15 = e1
% 108.67/57.88 | (16684) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (1207), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (514) all_0_16_16 = e0
% 108.67/57.88 |
% 108.67/57.88 | Combining equations (514,454) yields a new equation:
% 108.67/57.88 | (515) e4 = e0
% 108.67/57.88 |
% 108.67/57.88 | Equations (515) can reduce 267 to:
% 108.67/57.88 | (400) $false
% 108.67/57.88 |
% 108.67/57.88 |-The branch is then unsatisfiable
% 108.67/57.88 |-Branch two:
% 108.67/57.88 | (517) ~ (all_0_16_16 = e0)
% 108.67/57.88 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (16684), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.88 | (16690) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.67/57.88 |
% 108.67/57.88 +-Applying beta-rule and splitting (16690), into two cases.
% 108.67/57.88 |-Branch one:
% 108.67/57.89 | (1564) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12
% 108.67/57.89 |
% 108.67/57.89 | Applying alpha-rule on (1564) yields:
% 108.67/57.89 | (1565) all_0_13_13 = all_0_18_18
% 108.67/57.89 | (1566) ~ (all_0_12_12 = e0)
% 108.67/57.89 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (1212), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (1184) all_0_17_17 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (1184,855) yields a new equation:
% 108.67/57.89 | (648) e3 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (648) can reduce 80 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (659) ~ (all_0_17_17 = e0)
% 108.67/57.89 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (1216), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (756) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (756,1565) yields a new equation:
% 108.67/57.89 | (1777) all_0_13_13 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 458 to:
% 108.67/57.89 | (543) ~ (e4 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 543 yields:
% 108.67/57.89 | (267) ~ (e4 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 638 to:
% 108.67/57.89 | (496) ~ (e2 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 496 yields:
% 108.67/57.89 | (336) ~ (e2 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 428 to:
% 108.67/57.89 | (498) ~ (e1 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 498 yields:
% 108.67/57.89 | (40) ~ (e1 = e0)
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (204), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (679) ~ (all_0_15_15 = e1)
% 108.67/57.89 |
% 108.67/57.89 | Equations (969) can reduce 679 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (969) all_0_15_15 = e1
% 108.67/57.89 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (16711), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (16712) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (16712), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.67/57.89 |
% 108.67/57.89 | Applying alpha-rule on (14822) yields:
% 108.67/57.89 | (1565) all_0_13_13 = all_0_18_18
% 108.67/57.89 | (1039) ~ (all_0_12_12 = e3)
% 108.67/57.89 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (1565,1777) yields a new equation:
% 108.67/57.89 | (1787) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 1787 yields:
% 108.67/57.89 | (756) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | From (756) and (1567) follows:
% 108.67/57.89 | (1789) op(e0, e4) = all_0_12_12
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (123), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (736) all_0_15_15 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (736,969) yields a new equation:
% 108.67/57.89 | (531) e1 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (531) can reduce 40 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (739) ~ (all_0_15_15 = e0)
% 108.67/57.89 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (740), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (742) all_0_20_20 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (742,500) yields a new equation:
% 108.67/57.89 | (515) e4 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (515) can reduce 267 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (490) ~ (all_0_20_20 = e0)
% 108.67/57.89 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (747), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (749) all_0_25_25 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (749) can reduce 194 to:
% 108.67/57.89 | (752) ~ (all_0_35_35 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 752 yields:
% 108.67/57.89 | (536) ~ (all_0_35_35 = e0)
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (128), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (724) all_0_35_35 = e4
% 108.67/57.89 |
% 108.67/57.89 | Equations (724) can reduce 509 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (509) ~ (all_0_35_35 = e4)
% 108.67/57.89 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (727), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (728) all_0_35_35 = e3
% 108.67/57.89 |
% 108.67/57.89 | From (728) and (89) follows:
% 108.67/57.89 | (7494) op(e0, e4) = e3
% 108.67/57.89 |
% 108.67/57.89 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 108.67/57.89 | (1044) all_0_12_12 = e3
% 108.67/57.89 |
% 108.67/57.89 | Equations (1044) can reduce 1039 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (585) ~ (all_0_35_35 = e3)
% 108.67/57.89 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (731), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (732) all_0_35_35 = e2
% 108.67/57.89 |
% 108.67/57.89 | Equations (732) can reduce 719 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (719) ~ (all_0_35_35 = e2)
% 108.67/57.89 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (735), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (761) all_0_35_35 = e1
% 108.67/57.89 |
% 108.67/57.89 | Equations (761) can reduce 1138 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (1138) ~ (all_0_35_35 = e1)
% 108.67/57.89 | (1139) all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (1139) can reduce 536 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (1054) ~ (all_0_25_25 = e0)
% 108.67/57.89 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (1201), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (646) all_0_30_30 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (613,646) yields a new equation:
% 108.67/57.89 | (524) e2 = e0
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 524 yields:
% 108.67/57.89 | (525) e2 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (525) can reduce 336 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (650) ~ (all_0_30_30 = e0)
% 108.67/57.89 | (1139) all_0_35_35 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (1139) can reduce 536 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Applying alpha-rule on (1792) yields:
% 108.67/57.89 | (1565) all_0_13_13 = all_0_18_18
% 108.67/57.89 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (1565,1777) yields a new equation:
% 108.67/57.89 | (1787) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 1787 yields:
% 108.67/57.89 | (756) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 1141 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (16767) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 108.67/57.89 |
% 108.67/57.89 | Applying alpha-rule on (16767) yields:
% 108.67/57.89 | (1799) all_0_14_14 = all_0_30_30
% 108.67/57.89 | (617) ~ (all_0_30_30 = e2)
% 108.67/57.89 |
% 108.67/57.89 | Equations (613) can reduce 617 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (1141) ~ (all_0_18_18 = e0)
% 108.67/57.89 | (1187) all_0_19_19 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (1187,1163) yields a new equation:
% 108.67/57.89 | (525) e2 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (525) can reduce 336 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (14852) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 108.67/57.89 |
% 108.67/57.89 | Applying alpha-rule on (14852) yields:
% 108.67/57.89 | (1565) all_0_13_13 = all_0_18_18
% 108.67/57.89 | (1189) ~ (all_0_18_18 = e3)
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (1212), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (1184) all_0_17_17 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (1184,855) yields a new equation:
% 108.67/57.89 | (648) e3 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (648) can reduce 80 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (659) ~ (all_0_17_17 = e0)
% 108.67/57.89 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (1216), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (756) all_0_18_18 = e0
% 108.67/57.89 |
% 108.67/57.89 | Combining equations (756,1565) yields a new equation:
% 108.67/57.89 | (1777) all_0_13_13 = e0
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 458 to:
% 108.67/57.89 | (543) ~ (e4 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 543 yields:
% 108.67/57.89 | (267) ~ (e4 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 638 to:
% 108.67/57.89 | (496) ~ (e2 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 496 yields:
% 108.67/57.89 | (336) ~ (e2 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Equations (756) can reduce 428 to:
% 108.67/57.89 | (498) ~ (e1 = e0)
% 108.67/57.89 |
% 108.67/57.89 | Simplifying 498 yields:
% 108.67/57.89 | (40) ~ (e1 = e0)
% 108.67/57.89 |
% 108.67/57.89 +-Applying beta-rule and splitting (204), into two cases.
% 108.67/57.89 |-Branch one:
% 108.67/57.89 | (679) ~ (all_0_15_15 = e1)
% 108.67/57.89 |
% 108.67/57.89 | Equations (969) can reduce 679 to:
% 108.67/57.89 | (400) $false
% 108.67/57.89 |
% 108.67/57.89 |-The branch is then unsatisfiable
% 108.67/57.89 |-Branch two:
% 108.67/57.89 | (969) all_0_15_15 = e1
% 108.67/57.89 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 108.67/57.89 |
% 108.67/57.90 +-Applying beta-rule and splitting (16711), into two cases.
% 108.67/57.90 |-Branch one:
% 108.67/57.90 | (16712) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.67/57.90 |
% 108.67/57.90 +-Applying beta-rule and splitting (16712), into two cases.
% 108.67/57.90 |-Branch one:
% 108.67/57.90 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.67/57.90 |
% 108.72/57.90 | Applying alpha-rule on (14822) yields:
% 108.72/57.90 | (1565) all_0_13_13 = all_0_18_18
% 108.72/57.90 | (1039) ~ (all_0_12_12 = e3)
% 108.72/57.90 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (1565,1777) yields a new equation:
% 108.72/57.90 | (1787) all_0_18_18 = e0
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 1787 yields:
% 108.72/57.90 | (756) all_0_18_18 = e0
% 108.72/57.90 |
% 108.72/57.90 | From (756) and (1567) follows:
% 108.72/57.90 | (1789) op(e0, e4) = all_0_12_12
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (123), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (736) all_0_15_15 = e0
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (736,969) yields a new equation:
% 108.72/57.90 | (531) e1 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (531) can reduce 40 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (739) ~ (all_0_15_15 = e0)
% 108.72/57.90 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (740), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (742) all_0_20_20 = e0
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (742,500) yields a new equation:
% 108.72/57.90 | (515) e4 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (515) can reduce 267 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (490) ~ (all_0_20_20 = e0)
% 108.72/57.90 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (747), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (749) all_0_25_25 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (749) can reduce 194 to:
% 108.72/57.90 | (752) ~ (all_0_35_35 = e0)
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 752 yields:
% 108.72/57.90 | (536) ~ (all_0_35_35 = e0)
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (128), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (724) all_0_35_35 = e4
% 108.72/57.90 |
% 108.72/57.90 | Equations (724) can reduce 509 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (509) ~ (all_0_35_35 = e4)
% 108.72/57.90 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (727), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (728) all_0_35_35 = e3
% 108.72/57.90 |
% 108.72/57.90 | From (728) and (89) follows:
% 108.72/57.90 | (7494) op(e0, e4) = e3
% 108.72/57.90 |
% 108.72/57.90 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 108.72/57.90 | (1044) all_0_12_12 = e3
% 108.72/57.90 |
% 108.72/57.90 | Equations (1044) can reduce 1039 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (585) ~ (all_0_35_35 = e3)
% 108.72/57.90 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (731), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (732) all_0_35_35 = e2
% 108.72/57.90 |
% 108.72/57.90 | Equations (732) can reduce 719 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (719) ~ (all_0_35_35 = e2)
% 108.72/57.90 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (735), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (761) all_0_35_35 = e1
% 108.72/57.90 |
% 108.72/57.90 | Equations (761) can reduce 1138 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (1138) ~ (all_0_35_35 = e1)
% 108.72/57.90 | (1139) all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (1139) can reduce 536 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (1054) ~ (all_0_25_25 = e0)
% 108.72/57.90 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (1201), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (646) all_0_30_30 = e0
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (613,646) yields a new equation:
% 108.72/57.90 | (524) e2 = e0
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 524 yields:
% 108.72/57.90 | (525) e2 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (525) can reduce 336 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (650) ~ (all_0_30_30 = e0)
% 108.72/57.90 | (1139) all_0_35_35 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (1139) can reduce 536 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 108.72/57.90 |
% 108.72/57.90 | Applying alpha-rule on (1792) yields:
% 108.72/57.90 | (1565) all_0_13_13 = all_0_18_18
% 108.72/57.90 | (1141) ~ (all_0_18_18 = e0)
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (1565,1777) yields a new equation:
% 108.72/57.90 | (1787) all_0_18_18 = e0
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 1787 yields:
% 108.72/57.90 | (756) all_0_18_18 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (756) can reduce 1141 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (16767) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 108.72/57.90 |
% 108.72/57.90 | Applying alpha-rule on (16767) yields:
% 108.72/57.90 | (1799) all_0_14_14 = all_0_30_30
% 108.72/57.90 | (617) ~ (all_0_30_30 = e2)
% 108.72/57.90 |
% 108.72/57.90 | Equations (613) can reduce 617 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (1141) ~ (all_0_18_18 = e0)
% 108.72/57.90 | (1187) all_0_19_19 = e0
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (1187,1163) yields a new equation:
% 108.72/57.90 | (525) e2 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (525) can reduce 336 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (16767) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 108.72/57.90 |
% 108.72/57.90 | Applying alpha-rule on (16767) yields:
% 108.72/57.90 | (1799) all_0_14_14 = all_0_30_30
% 108.72/57.90 | (617) ~ (all_0_30_30 = e2)
% 108.72/57.90 |
% 108.72/57.90 | Equations (613) can reduce 617 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (919) ~ (all_0_17_17 = e3)
% 108.72/57.90 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (920), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (921) all_0_22_22 = e3
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (442,921) yields a new equation:
% 108.72/57.90 | (615) e3 = e2
% 108.72/57.90 |
% 108.72/57.90 | Equations (615) can reduce 52 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (925) ~ (all_0_22_22 = e3)
% 108.72/57.90 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (926), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (808) all_0_27_27 = e3
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (804,808) yields a new equation:
% 108.72/57.90 | (596) e4 = e3
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 596 yields:
% 108.72/57.90 | (597) e4 = e3
% 108.72/57.90 |
% 108.72/57.90 | Equations (597) can reduce 255 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (573) ~ (all_0_27_27 = e3)
% 108.72/57.90 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (931), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (629) all_0_32_32 = e3
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (658,629) yields a new equation:
% 108.72/57.90 | (648) e3 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (648) can reduce 80 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (579) ~ (all_0_32_32 = e3)
% 108.72/57.90 | (936) all_0_37_37 = e3
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (1112,936) yields a new equation:
% 108.72/57.90 | (928) e3 = e1
% 108.72/57.90 |
% 108.72/57.90 | Equations (928) can reduce 298 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (679) ~ (all_0_15_15 = e1)
% 108.72/57.90 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (1085), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (1094) all_0_22_22 = e1
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (442,1094) yields a new equation:
% 108.72/57.90 | (620) e2 = e1
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 620 yields:
% 108.72/57.90 | (621) e2 = e1
% 108.72/57.90 |
% 108.72/57.90 | Equations (621) can reduce 310 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (1098) ~ (all_0_22_22 = e1)
% 108.72/57.90 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (1099), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (816) all_0_27_27 = e1
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (804,816) yields a new equation:
% 108.72/57.90 | (975) e4 = e1
% 108.72/57.90 |
% 108.72/57.90 | Simplifying 975 yields:
% 108.72/57.90 | (838) e4 = e1
% 108.72/57.90 |
% 108.72/57.90 | Equations (838) can reduce 56 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.90 |-Branch two:
% 108.72/57.90 | (857) ~ (all_0_27_27 = e1)
% 108.72/57.90 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 108.72/57.90 |
% 108.72/57.90 +-Applying beta-rule and splitting (1105), into two cases.
% 108.72/57.90 |-Branch one:
% 108.72/57.90 | (1108) all_0_32_32 = e1
% 108.72/57.90 |
% 108.72/57.90 | Combining equations (658,1108) yields a new equation:
% 108.72/57.90 | (531) e1 = e0
% 108.72/57.90 |
% 108.72/57.90 | Equations (531) can reduce 40 to:
% 108.72/57.90 | (400) $false
% 108.72/57.90 |
% 108.72/57.90 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (419) ~ (all_0_32_32 = e1)
% 108.72/57.91 | (1112) all_0_37_37 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (1112) can reduce 282 to:
% 108.72/57.91 | (817) ~ (all_0_17_17 = e1)
% 108.72/57.91 |
% 108.72/57.91 | Equations (1112) can reduce 1002 to:
% 108.72/57.91 | (764) ~ (e4 = e1)
% 108.72/57.91 |
% 108.72/57.91 | Simplifying 764 yields:
% 108.72/57.91 | (56) ~ (e4 = e1)
% 108.72/57.91 |
% 108.72/57.91 | Equations (1112) can reduce 450 to:
% 108.72/57.91 | (766) ~ (e2 = e1)
% 108.72/57.91 |
% 108.72/57.91 | Simplifying 766 yields:
% 108.72/57.91 | (310) ~ (e2 = e1)
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (973), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (974) all_0_16_16 = e1
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (974,454) yields a new equation:
% 108.72/57.91 | (838) e4 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (838) can reduce 56 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (415) ~ (all_0_16_16 = e1)
% 108.72/57.91 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (979), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (980) all_0_17_17 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (980) can reduce 817 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (817) ~ (all_0_17_17 = e1)
% 108.72/57.91 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (983), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (984) all_0_18_18 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (984) can reduce 428 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (428) ~ (all_0_18_18 = e1)
% 108.72/57.91 | (829) all_0_19_19 = e1
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (829,1163) yields a new equation:
% 108.72/57.91 | (621) e2 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (621) can reduce 310 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (2946) ~ (all_0_29_29 = e1)
% 108.72/57.91 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (11125), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (4342) all_0_34_34 = e1
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (2571,4342) yields a new equation:
% 108.72/57.91 | (1113) e3 = e1
% 108.72/57.91 |
% 108.72/57.91 | Simplifying 1113 yields:
% 108.72/57.91 | (928) e3 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (928) can reduce 298 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (421) ~ (all_0_34_34 = e1)
% 108.72/57.91 | (1252) all_0_39_39 = e1
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (1252,697) yields a new equation:
% 108.72/57.91 | (838) e4 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (838) can reduce 56 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (706) ~ (all_0_19_19 = e2)
% 108.72/57.91 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (5198), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (5199) all_0_29_29 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (5199) can reduce 479 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (479) ~ (all_0_29_29 = e2)
% 108.72/57.91 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (7045), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (7046) all_0_24_24 = e2
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (488,7046) yields a new equation:
% 108.72/57.91 | (525) e2 = e0
% 108.72/57.91 |
% 108.72/57.91 | Equations (525) can reduce 336 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (446) ~ (all_0_24_24 = e2)
% 108.72/57.91 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (7050), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (5199) all_0_29_29 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (5199) can reduce 479 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (479) ~ (all_0_29_29 = e2)
% 108.72/57.91 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (7056), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (2551) all_0_34_34 = e2
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (2551,2571) yields a new equation:
% 108.72/57.91 | (615) e3 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (615) can reduce 52 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (4340) ~ (all_0_34_34 = e2)
% 108.72/57.91 | (705) all_0_39_39 = e2
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (705,697) yields a new equation:
% 108.72/57.91 | (798) e4 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (798) can reduce 21 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (785) ~ (all_0_27_27 = e4)
% 108.72/57.91 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (807), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (808) all_0_27_27 = e3
% 108.72/57.91 |
% 108.72/57.91 | Equations (808) can reduce 573 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (573) ~ (all_0_27_27 = e3)
% 108.72/57.91 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (811), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (812) all_0_27_27 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (812) can reduce 475 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (475) ~ (all_0_27_27 = e2)
% 108.72/57.91 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (815), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (816) all_0_27_27 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (816) can reduce 857 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (857) ~ (all_0_27_27 = e1)
% 108.72/57.91 | (995) all_0_27_27 = e0
% 108.72/57.91 |
% 108.72/57.91 | Equations (995) can reduce 660 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (889) ~ (all_0_32_32 = e0)
% 108.72/57.91 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (2544), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (1463) all_0_33_33 = e0
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (1463,1322) yields a new equation:
% 108.72/57.91 | (515) e4 = e0
% 108.72/57.91 |
% 108.72/57.91 | Equations (515) can reduce 267 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (2612) ~ (all_0_33_33 = e0)
% 108.72/57.91 | (4345) all_0_34_34 = e0
% 108.72/57.91 |
% 108.72/57.91 | Combining equations (4345,2571) yields a new equation:
% 108.72/57.91 | (648) e3 = e0
% 108.72/57.91 |
% 108.72/57.91 | Equations (648) can reduce 80 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (583) ~ (all_0_34_34 = e3)
% 108.72/57.91 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (2574), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (2551) all_0_34_34 = e2
% 108.72/57.91 |
% 108.72/57.91 | Equations (2551) can reduce 4340 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (4340) ~ (all_0_34_34 = e2)
% 108.72/57.91 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 108.72/57.91 |
% 108.72/57.91 +-Applying beta-rule and splitting (4341), into two cases.
% 108.72/57.91 |-Branch one:
% 108.72/57.91 | (4342) all_0_34_34 = e1
% 108.72/57.91 |
% 108.72/57.91 | Equations (4342) can reduce 421 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.91 |-Branch two:
% 108.72/57.91 | (421) ~ (all_0_34_34 = e1)
% 108.72/57.91 | (4345) all_0_34_34 = e0
% 108.72/57.91 |
% 108.72/57.91 | Equations (4345) can reduce 495 to:
% 108.72/57.91 | (400) $false
% 108.72/57.91 |
% 108.72/57.91 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (617) ~ (all_0_30_30 = e2)
% 108.72/57.92 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (14452), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1521) all_0_30_30 = e1
% 108.72/57.92 |
% 108.72/57.92 | Equations (1521) can reduce 417 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (417) ~ (all_0_30_30 = e1)
% 108.72/57.92 | (646) all_0_30_30 = e0
% 108.72/57.92 |
% 108.72/57.92 | Equations (646) can reduce 650 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (816) all_0_27_27 = e1
% 108.72/57.92 | (860) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e3) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 108.72/57.92 |
% 108.72/57.92 | Equations (816) can reduce 337 to:
% 108.72/57.92 | (433) ~ (all_0_28_28 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 433 yields:
% 108.72/57.92 | (434) ~ (all_0_28_28 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Equations (816) can reduce 53 to:
% 108.72/57.92 | (5048) ~ (all_0_29_29 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 5048 yields:
% 108.72/57.92 | (2946) ~ (all_0_29_29 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Equations (816) can reduce 170 to:
% 108.72/57.92 | (418) ~ (all_0_32_32 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 418 yields:
% 108.72/57.92 | (419) ~ (all_0_32_32 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Equations (816) can reduce 573 to:
% 108.72/57.92 | (824) ~ (e3 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 824 yields:
% 108.72/57.92 | (298) ~ (e3 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Equations (816) can reduce 475 to:
% 108.72/57.92 | (766) ~ (e2 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 766 yields:
% 108.72/57.92 | (310) ~ (e2 = e1)
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (55), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (590) all_0_25_25 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (590) can reduce 505 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (505) ~ (all_0_25_25 = e4)
% 108.72/57.92 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (51), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (793) all_0_17_17 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (793) can reduce 456 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (456) ~ (all_0_17_17 = e4)
% 108.72/57.92 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (790), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (832) all_0_26_26 = e4
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (471,832) yields a new equation:
% 108.72/57.92 | (798) e4 = e2
% 108.72/57.92 |
% 108.72/57.92 | Equations (798) can reduce 21 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (464) ~ (all_0_26_26 = e4)
% 108.72/57.92 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (471) can reduce 464 to:
% 108.72/57.92 | (482) ~ (e4 = e2)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 482 yields:
% 108.72/57.92 | (21) ~ (e4 = e2)
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (796), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (797) all_0_22_22 = e4
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (797,442) yields a new equation:
% 108.72/57.92 | (1531) e4 = e2
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 1531 yields:
% 108.72/57.92 | (798) e4 = e2
% 108.72/57.92 |
% 108.72/57.92 | Equations (798) can reduce 21 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (800) ~ (all_0_22_22 = e4)
% 108.72/57.92 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (836), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (804) all_0_27_27 = e4
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (816,804) yields a new equation:
% 108.72/57.92 | (838) e4 = e1
% 108.72/57.92 |
% 108.72/57.92 | Equations (838) can reduce 56 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (785) ~ (all_0_27_27 = e4)
% 108.72/57.92 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (853), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (854) all_0_28_28 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (854) can reduce 883 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (883) ~ (all_0_28_28 = e4)
% 108.72/57.92 | (941) all_0_29_29 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 174 to:
% 108.72/57.92 | (460) ~ (all_0_19_19 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 7 to:
% 108.72/57.92 | (505) ~ (all_0_25_25 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 47 to:
% 108.72/57.92 | (883) ~ (all_0_28_28 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 84 to:
% 108.72/57.92 | (2566) ~ (all_0_34_34 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 2566 yields:
% 108.72/57.92 | (2554) ~ (all_0_34_34 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 291 to:
% 108.72/57.92 | (606) ~ (all_0_39_39 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 606 yields:
% 108.72/57.92 | (607) ~ (all_0_39_39 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 479 to:
% 108.72/57.92 | (21) ~ (e4 = e2)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 2946 to:
% 108.72/57.92 | (56) ~ (e4 = e1)
% 108.72/57.92 |
% 108.72/57.92 | Equations (941) can reduce 493 to:
% 108.72/57.92 | (267) ~ (e4 = e0)
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (248), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (724) all_0_35_35 = e4
% 108.72/57.92 |
% 108.72/57.92 | Equations (724) can reduce 509 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (509) ~ (all_0_35_35 = e4)
% 108.72/57.92 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (251), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1278), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1279), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1280), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1281), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1282), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1283), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1284), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1285), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1286), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1287), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1288), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1289), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1290), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1291), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1292), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1293), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1294), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 108.72/57.92 |
% 108.72/57.92 +-Applying beta-rule and splitting (1295), into two cases.
% 108.72/57.92 |-Branch one:
% 108.72/57.92 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Applying alpha-rule on (1296) yields:
% 108.72/57.92 | (1297) all_0_15_15 = e3
% 108.72/57.92 | (550) all_0_21_21 = e4
% 108.72/57.92 | (1299) ~ (all_0_16_16 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (550,557) yields a new equation:
% 108.72/57.92 | (596) e4 = e3
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 596 yields:
% 108.72/57.92 | (597) e4 = e3
% 108.72/57.92 |
% 108.72/57.92 | Equations (597) can reduce 255 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 108.72/57.92 |
% 108.72/57.92 | Applying alpha-rule on (1303) yields:
% 108.72/57.92 | (1297) all_0_15_15 = e3
% 108.72/57.92 | (550) all_0_21_21 = e4
% 108.72/57.92 | (1306) ~ (all_0_20_20 = e3)
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (550,557) yields a new equation:
% 108.72/57.92 | (596) e4 = e3
% 108.72/57.92 |
% 108.72/57.92 | Simplifying 596 yields:
% 108.72/57.92 | (597) e4 = e3
% 108.72/57.92 |
% 108.72/57.92 | Equations (597) can reduce 255 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Applying alpha-rule on (1310) yields:
% 108.72/57.92 | (711) all_0_15_15 = e2
% 108.72/57.92 | (804) all_0_27_27 = e4
% 108.72/57.92 | (456) ~ (all_0_17_17 = e4)
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (816,804) yields a new equation:
% 108.72/57.92 | (838) e4 = e1
% 108.72/57.92 |
% 108.72/57.92 | Equations (838) can reduce 56 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.92 |-Branch two:
% 108.72/57.92 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 108.72/57.92 |
% 108.72/57.92 | Applying alpha-rule on (1315) yields:
% 108.72/57.92 | (711) all_0_15_15 = e2
% 108.72/57.92 | (804) all_0_27_27 = e4
% 108.72/57.92 | (473) ~ (all_0_25_25 = e2)
% 108.72/57.92 |
% 108.72/57.92 | Combining equations (816,804) yields a new equation:
% 108.72/57.92 | (838) e4 = e1
% 108.72/57.92 |
% 108.72/57.92 | Equations (838) can reduce 56 to:
% 108.72/57.92 | (400) $false
% 108.72/57.92 |
% 108.72/57.92 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Applying alpha-rule on (1320) yields:
% 108.72/57.93 | (969) all_0_15_15 = e1
% 108.72/57.93 | (1322) all_0_33_33 = e4
% 108.72/57.93 | (458) ~ (all_0_18_18 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 344 to:
% 108.72/57.93 | (5989) ~ (all_0_17_17 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 5989 yields:
% 108.72/57.93 | (817) ~ (all_0_17_17 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 90 to:
% 108.72/57.93 | (1549) ~ (all_0_18_18 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 1549 yields:
% 108.72/57.93 | (428) ~ (all_0_18_18 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 319 to:
% 108.72/57.93 | (3853) ~ (all_0_19_19 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 3853 yields:
% 108.72/57.93 | (943) ~ (all_0_19_19 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 42 to:
% 108.72/57.93 | (5275) ~ (all_0_25_25 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 5275 yields:
% 108.72/57.93 | (1519) ~ (all_0_25_25 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 3 to:
% 108.72/57.93 | (17107) ~ (all_0_30_30 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 17107 yields:
% 108.72/57.93 | (417) ~ (all_0_30_30 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (969) can reduce 501 to:
% 108.72/57.93 | (764) ~ (e4 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 764 yields:
% 108.72/57.93 | (56) ~ (e4 = e1)
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (1091), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (2975) all_0_36_36 = e4
% 108.72/57.93 |
% 108.72/57.93 | Combining equations (2975,534) yields a new equation:
% 108.72/57.93 | (743) e4 = e0
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 743 yields:
% 108.72/57.93 | (515) e4 = e0
% 108.72/57.93 |
% 108.72/57.93 | Equations (515) can reduce 267 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (466) ~ (all_0_36_36 = e4)
% 108.72/57.93 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (262), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (829) all_0_19_19 = e1
% 108.72/57.93 |
% 108.72/57.93 | Equations (829) can reduce 943 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (943) ~ (all_0_19_19 = e1)
% 108.72/57.93 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (944), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (8658) all_0_24_24 = e1
% 108.72/57.93 |
% 108.72/57.93 | Combining equations (488,8658) yields a new equation:
% 108.72/57.93 | (531) e1 = e0
% 108.72/57.93 |
% 108.72/57.93 | Equations (531) can reduce 40 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (432) ~ (all_0_24_24 = e1)
% 108.72/57.93 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (8663), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (4599) all_0_29_29 = e1
% 108.72/57.93 |
% 108.72/57.93 | Combining equations (941,4599) yields a new equation:
% 108.72/57.93 | (975) e4 = e1
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 975 yields:
% 108.72/57.93 | (838) e4 = e1
% 108.72/57.93 |
% 108.72/57.93 | Equations (838) can reduce 56 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (2946) ~ (all_0_29_29 = e1)
% 108.72/57.93 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (11125), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (4342) all_0_34_34 = e1
% 108.72/57.93 |
% 108.72/57.93 | Equations (4342) can reduce 421 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (421) ~ (all_0_34_34 = e1)
% 108.72/57.93 | (1252) all_0_39_39 = e1
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 94 to:
% 108.72/57.93 | (943) ~ (all_0_19_19 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 85 to:
% 108.72/57.93 | (421) ~ (all_0_34_34 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 63 to:
% 108.72/57.93 | (1138) ~ (all_0_35_35 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 231 to:
% 108.72/57.93 | (438) ~ (all_0_38_38 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 607 to:
% 108.72/57.93 | (764) ~ (e4 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 764 yields:
% 108.72/57.93 | (56) ~ (e4 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 571 to:
% 108.72/57.93 | (824) ~ (e3 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 824 yields:
% 108.72/57.93 | (298) ~ (e3 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 542 to:
% 108.72/57.93 | (40) ~ (e1 = e0)
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (2979), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (847) all_0_37_37 = e4
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 282 to:
% 108.72/57.93 | (456) ~ (all_0_17_17 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 211 to:
% 108.72/57.93 | (604) ~ (all_0_32_32 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 309 to:
% 108.72/57.93 | (509) ~ (all_0_35_35 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 97 to:
% 108.72/57.93 | (1834) ~ (all_0_38_38 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 1834 yields:
% 108.72/57.93 | (1835) ~ (all_0_38_38 = e4)
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 450 to:
% 108.72/57.93 | (21) ~ (e4 = e2)
% 108.72/57.93 |
% 108.72/57.93 | Equations (847) can reduce 538 to:
% 108.72/57.93 | (267) ~ (e4 = e0)
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (269), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (696) ~ (all_0_39_39 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 696 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (1252) all_0_39_39 = e1
% 108.72/57.93 | (17156) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (203), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (696) ~ (all_0_39_39 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (1252) can reduce 696 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (1252) all_0_39_39 = e1
% 108.72/57.93 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (177), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (857) ~ (all_0_27_27 = e1)
% 108.72/57.93 |
% 108.72/57.93 | Equations (816) can reduce 857 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (816) all_0_27_27 = e1
% 108.72/57.93 | (9359) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (128), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (724) all_0_35_35 = e4
% 108.72/57.93 |
% 108.72/57.93 | Equations (724) can reduce 509 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (509) ~ (all_0_35_35 = e4)
% 108.72/57.93 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (304), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (646) all_0_30_30 = e0
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 62 to:
% 108.72/57.93 | (1054) ~ (all_0_25_25 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 301 to:
% 108.72/57.93 | (11228) ~ (all_0_32_32 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 11228 yields:
% 108.72/57.93 | (889) ~ (all_0_32_32 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 202 to:
% 108.72/57.93 | (494) ~ (all_0_34_34 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 494 yields:
% 108.72/57.93 | (495) ~ (all_0_34_34 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 15 to:
% 108.72/57.93 | (752) ~ (all_0_35_35 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 752 yields:
% 108.72/57.93 | (536) ~ (all_0_35_35 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 507 to:
% 108.72/57.93 | (543) ~ (e4 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 543 yields:
% 108.72/57.93 | (267) ~ (e4 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 1800 to:
% 108.72/57.93 | (665) ~ (e3 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 665 yields:
% 108.72/57.93 | (80) ~ (e3 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Equations (646) can reduce 417 to:
% 108.72/57.93 | (498) ~ (e1 = e0)
% 108.72/57.93 |
% 108.72/57.93 | Simplifying 498 yields:
% 108.72/57.93 | (40) ~ (e1 = e0)
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (237), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (590) all_0_25_25 = e4
% 108.72/57.93 |
% 108.72/57.93 | Equations (590) can reduce 505 to:
% 108.72/57.93 | (400) $false
% 108.72/57.93 |
% 108.72/57.93 |-The branch is then unsatisfiable
% 108.72/57.93 |-Branch two:
% 108.72/57.93 | (505) ~ (all_0_25_25 = e4)
% 108.72/57.93 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 108.72/57.93 |
% 108.72/57.93 +-Applying beta-rule and splitting (327), into two cases.
% 108.72/57.93 |-Branch one:
% 108.72/57.93 | (1184) all_0_17_17 = e0
% 108.72/57.93 |
% 108.72/57.93 | Equations (1184) can reduce 242 to:
% 108.72/57.93 | (11228) ~ (all_0_32_32 = e0)
% 108.72/57.93 |
% 108.72/57.94 | Simplifying 11228 yields:
% 108.72/57.94 | (889) ~ (all_0_32_32 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1184) can reduce 456 to:
% 108.72/57.94 | (543) ~ (e4 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 543 yields:
% 108.72/57.94 | (267) ~ (e4 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1184) can reduce 396 to:
% 108.72/57.94 | (496) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 496 yields:
% 108.72/57.94 | (336) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1184) can reduce 817 to:
% 108.72/57.94 | (498) ~ (e1 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 498 yields:
% 108.72/57.94 | (40) ~ (e1 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (593), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1698) all_0_25_25 = e3
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 194 to:
% 108.72/57.94 | (584) ~ (all_0_35_35 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 584 yields:
% 108.72/57.94 | (585) ~ (all_0_35_35 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 505 to:
% 108.72/57.94 | (558) ~ (e4 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 558 yields:
% 108.72/57.94 | (255) ~ (e4 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 473 to:
% 108.72/57.94 | (52) ~ (e3 = e2)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 1519 to:
% 108.72/57.94 | (298) ~ (e3 = e1)
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 1054 to:
% 108.72/57.94 | (80) ~ (e3 = e0)
% 108.72/57.94 |
% 108.72/57.94 | From (1698) and (311) follows:
% 108.72/57.94 | (11701) op(e2, e4) = e3
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (93), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (749) all_0_25_25 = e0
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (749,1698) yields a new equation:
% 108.72/57.94 | (648) e3 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (648) can reduce 80 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (1054) ~ (all_0_25_25 = e0)
% 108.72/57.94 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (1698) can reduce 1054 to:
% 108.72/57.94 | (80) ~ (e3 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (254), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (728) all_0_35_35 = e3
% 108.72/57.94 |
% 108.72/57.94 | Equations (728) can reduce 585 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (585) ~ (all_0_35_35 = e3)
% 108.72/57.94 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (142), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (855) all_0_17_17 = e3
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (1184,855) yields a new equation:
% 108.72/57.94 | (648) e3 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (648) can reduce 80 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (919) ~ (all_0_17_17 = e3)
% 108.72/57.94 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.72/57.94 |
% 108.72/57.94 | Equations (1184) can reduce 919 to:
% 108.72/57.94 | (665) ~ (e3 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 665 yields:
% 108.72/57.94 | (80) ~ (e3 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (5498), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (523) all_0_26_26 = e0
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (471,523) yields a new equation:
% 108.72/57.94 | (524) e2 = e0
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 524 yields:
% 108.72/57.94 | (525) e2 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (525) can reduce 336 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (527) ~ (all_0_26_26 = e0)
% 108.72/57.94 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (471) can reduce 527 to:
% 108.72/57.94 | (336) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (727), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (728) all_0_35_35 = e3
% 108.72/57.94 |
% 108.72/57.94 | Equations (728) can reduce 585 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (585) ~ (all_0_35_35 = e3)
% 108.72/57.94 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (5504), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (995) all_0_27_27 = e0
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (816,995) yields a new equation:
% 108.72/57.94 | (530) e1 = e0
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 530 yields:
% 108.72/57.94 | (531) e1 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (531) can reduce 40 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (660) ~ (all_0_27_27 = e0)
% 108.72/57.94 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (731), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (732) all_0_35_35 = e2
% 108.72/57.94 |
% 108.72/57.94 | Equations (732) can reduce 509 to:
% 108.72/57.94 | (482) ~ (e4 = e2)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 482 yields:
% 108.72/57.94 | (21) ~ (e4 = e2)
% 108.72/57.94 |
% 108.72/57.94 | Equations (732) can reduce 1138 to:
% 108.72/57.94 | (310) ~ (e2 = e1)
% 108.72/57.94 |
% 108.72/57.94 | Equations (732) can reduce 536 to:
% 108.72/57.94 | (336) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (107), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (613) all_0_30_30 = e2
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (646,613) yields a new equation:
% 108.72/57.94 | (525) e2 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (525) can reduce 336 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (617) ~ (all_0_30_30 = e2)
% 108.72/57.94 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 108.72/57.94 |
% 108.72/57.94 | Equations (646) can reduce 617 to:
% 108.72/57.94 | (496) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 496 yields:
% 108.72/57.94 | (336) ~ (e2 = e0)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (236), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (609) all_0_32_32 = e4
% 108.72/57.94 |
% 108.72/57.94 | Equations (609) can reduce 604 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (604) ~ (all_0_32_32 = e4)
% 108.72/57.94 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (4535), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (4536) all_0_36_36 = e3
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (534,4536) yields a new equation:
% 108.72/57.94 | (648) e3 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (648) can reduce 80 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (4540) ~ (all_0_36_36 = e3)
% 108.72/57.94 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (612), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (629) all_0_32_32 = e3
% 108.72/57.94 |
% 108.72/57.94 | Equations (629) can reduce 132 to:
% 108.72/57.94 | (582) ~ (all_0_34_34 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 582 yields:
% 108.72/57.94 | (583) ~ (all_0_34_34 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Equations (629) can reduce 604 to:
% 108.72/57.94 | (558) ~ (e4 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 558 yields:
% 108.72/57.94 | (255) ~ (e4 = e3)
% 108.72/57.94 |
% 108.72/57.94 | Equations (629) can reduce 448 to:
% 108.72/57.94 | (52) ~ (e3 = e2)
% 108.72/57.94 |
% 108.72/57.94 | Equations (629) can reduce 419 to:
% 108.72/57.94 | (298) ~ (e3 = e1)
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (263), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (601) all_0_34_34 = e4
% 108.72/57.94 |
% 108.72/57.94 | Equations (601) can reduce 2554 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (2554) ~ (all_0_34_34 = e4)
% 108.72/57.94 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (130), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1159) all_0_19_19 = e3
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (160), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (711) all_0_15_15 = e2
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (711,969) yields a new equation:
% 108.72/57.94 | (620) e2 = e1
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 620 yields:
% 108.72/57.94 | (621) e2 = e1
% 108.72/57.94 |
% 108.72/57.94 | Equations (621) can reduce 310 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (769) ~ (all_0_15_15 = e2)
% 108.72/57.94 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (197), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (679) ~ (all_0_15_15 = e1)
% 108.72/57.94 |
% 108.72/57.94 | Equations (969) can reduce 679 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (969) all_0_15_15 = e1
% 108.72/57.94 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (14793), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (14802) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (14802), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 108.72/57.94 |
% 108.72/57.94 | Applying alpha-rule on (1783) yields:
% 108.72/57.94 | (1565) all_0_13_13 = all_0_18_18
% 108.72/57.94 | (1785) ~ (all_0_12_12 = e2)
% 108.72/57.94 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (1235), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1236) all_0_16_16 = e2
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (454,1236) yields a new equation:
% 108.72/57.94 | (1531) e4 = e2
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 1531 yields:
% 108.72/57.94 | (798) e4 = e2
% 108.72/57.94 |
% 108.72/57.94 | Equations (798) can reduce 21 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (1239) ~ (all_0_16_16 = e2)
% 108.72/57.94 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (1240), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1177) all_0_17_17 = e2
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (1177,1184) yields a new equation:
% 108.72/57.94 | (524) e2 = e0
% 108.72/57.94 |
% 108.72/57.94 | Simplifying 524 yields:
% 108.72/57.94 | (525) e2 = e0
% 108.72/57.94 |
% 108.72/57.94 | Equations (525) can reduce 336 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (396) ~ (all_0_17_17 = e2)
% 108.72/57.94 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (1244), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (1191) all_0_18_18 = e2
% 108.72/57.94 |
% 108.72/57.94 | Combining equations (1191,1565) yields a new equation:
% 108.72/57.94 | (3903) all_0_13_13 = e2
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (8), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (679) ~ (all_0_15_15 = e1)
% 108.72/57.94 |
% 108.72/57.94 | Equations (969) can reduce 679 to:
% 108.72/57.94 | (400) $false
% 108.72/57.94 |
% 108.72/57.94 |-The branch is then unsatisfiable
% 108.72/57.94 |-Branch two:
% 108.72/57.94 | (969) all_0_15_15 = e1
% 108.72/57.94 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.72/57.94 |
% 108.72/57.94 +-Applying beta-rule and splitting (14820), into two cases.
% 108.72/57.94 |-Branch one:
% 108.72/57.94 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.72/57.94 |
% 108.72/57.95 +-Applying beta-rule and splitting (14821), into two cases.
% 108.72/57.95 |-Branch one:
% 108.72/57.95 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.72/57.95 |
% 108.72/57.95 | Applying alpha-rule on (14822) yields:
% 108.72/57.95 | (1565) all_0_13_13 = all_0_18_18
% 108.72/57.95 | (1039) ~ (all_0_12_12 = e3)
% 108.72/57.95 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.72/57.95 |
% 108.72/57.95 | Combining equations (1565,3903) yields a new equation:
% 108.72/57.95 | (3913) all_0_18_18 = e2
% 108.72/57.95 |
% 108.72/57.95 | Simplifying 3913 yields:
% 108.72/57.95 | (1191) all_0_18_18 = e2
% 108.72/57.95 |
% 108.72/57.95 | From (1191) and (1567) follows:
% 108.72/57.95 | (3915) op(e2, e4) = all_0_12_12
% 108.72/57.95 |
% 108.72/57.95 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.72/57.95 | (1044) all_0_12_12 = e3
% 108.72/57.95 |
% 108.72/57.95 | Equations (1044) can reduce 1039 to:
% 108.72/57.95 | (400) $false
% 108.72/57.95 |
% 108.72/57.95 |-The branch is then unsatisfiable
% 108.72/57.95 |-Branch two:
% 108.72/57.95 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.72/57.95 |
% 108.72/57.95 | Applying alpha-rule on (2052) yields:
% 108.72/57.95 | (1565) all_0_13_13 = all_0_18_18
% 108.72/57.95 | (638) ~ (all_0_18_18 = e2)
% 108.72/57.95 |
% 108.72/57.95 | Combining equations (1565,3903) yields a new equation:
% 108.72/57.95 | (3913) all_0_18_18 = e2
% 108.72/57.95 |
% 108.72/57.95 | Simplifying 3913 yields:
% 108.72/57.95 | (1191) all_0_18_18 = e2
% 108.72/57.95 |
% 108.72/57.95 | Equations (1191) can reduce 638 to:
% 108.72/57.95 | (400) $false
% 108.72/57.95 |
% 108.72/57.95 |-The branch is then unsatisfiable
% 108.72/57.95 |-Branch two:
% 108.72/57.95 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.72/57.95 |
% 108.72/57.95 | Applying alpha-rule on (14837) yields:
% 108.72/57.95 | (1799) all_0_14_14 = all_0_30_30
% 108.72/57.95 | (650) ~ (all_0_30_30 = e0)
% 108.72/57.95 |
% 108.72/57.95 | Equations (646) can reduce 650 to:
% 108.72/57.95 | (400) $false
% 108.72/57.95 |
% 108.72/57.95 |-The branch is then unsatisfiable
% 108.72/57.95 |-Branch two:
% 108.72/57.95 | (638) ~ (all_0_18_18 = e2)
% 108.72/57.95 | (1163) all_0_19_19 = e2
% 108.72/57.95 |
% 108.72/57.95 | Combining equations (1163,1159) yields a new equation:
% 108.72/57.95 | (615) e3 = e2
% 108.72/57.95 |
% 108.72/57.95 | Equations (615) can reduce 52 to:
% 108.72/57.95 | (400) $false
% 108.72/57.95 |
% 108.72/57.95 |-The branch is then unsatisfiable
% 108.72/57.95 |-Branch two:
% 108.72/57.95 | (14852) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 108.72/57.95 |
% 108.72/57.95 | Applying alpha-rule on (14852) yields:
% 108.72/57.95 | (1565) all_0_13_13 = all_0_18_18
% 108.83/57.95 | (1189) ~ (all_0_18_18 = e3)
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (1235), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (1236) all_0_16_16 = e2
% 108.83/57.95 |
% 108.83/57.95 | Combining equations (454,1236) yields a new equation:
% 108.83/57.95 | (1531) e4 = e2
% 108.83/57.95 |
% 108.83/57.95 | Simplifying 1531 yields:
% 108.83/57.95 | (798) e4 = e2
% 108.83/57.95 |
% 108.83/57.95 | Equations (798) can reduce 21 to:
% 108.83/57.95 | (400) $false
% 108.83/57.95 |
% 108.83/57.95 |-The branch is then unsatisfiable
% 108.83/57.95 |-Branch two:
% 108.83/57.95 | (1239) ~ (all_0_16_16 = e2)
% 108.83/57.95 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (1240), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (1177) all_0_17_17 = e2
% 108.83/57.95 |
% 108.83/57.95 | Combining equations (1177,1184) yields a new equation:
% 108.83/57.95 | (524) e2 = e0
% 108.83/57.95 |
% 108.83/57.95 | Simplifying 524 yields:
% 108.83/57.95 | (525) e2 = e0
% 108.83/57.95 |
% 108.83/57.95 | Equations (525) can reduce 336 to:
% 108.83/57.95 | (400) $false
% 108.83/57.95 |
% 108.83/57.95 |-The branch is then unsatisfiable
% 108.83/57.95 |-Branch two:
% 108.83/57.95 | (396) ~ (all_0_17_17 = e2)
% 108.83/57.95 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (1244), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (1191) all_0_18_18 = e2
% 108.83/57.95 |
% 108.83/57.95 | Combining equations (1191,1565) yields a new equation:
% 108.83/57.95 | (3903) all_0_13_13 = e2
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (8), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (679) ~ (all_0_15_15 = e1)
% 108.83/57.95 |
% 108.83/57.95 | Equations (969) can reduce 679 to:
% 108.83/57.95 | (400) $false
% 108.83/57.95 |
% 108.83/57.95 |-The branch is then unsatisfiable
% 108.83/57.95 |-Branch two:
% 108.83/57.95 | (969) all_0_15_15 = e1
% 108.83/57.95 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (14820), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.83/57.95 |
% 108.83/57.95 +-Applying beta-rule and splitting (14821), into two cases.
% 108.83/57.95 |-Branch one:
% 108.83/57.95 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.83/57.95 |
% 108.83/57.95 | Applying alpha-rule on (14822) yields:
% 108.83/57.95 | (1565) all_0_13_13 = all_0_18_18
% 108.83/57.95 | (1039) ~ (all_0_12_12 = e3)
% 108.83/57.95 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.83/57.95 |
% 108.83/57.95 | Combining equations (1565,3903) yields a new equation:
% 108.83/57.95 | (3913) all_0_18_18 = e2
% 108.83/57.95 |
% 108.83/57.95 | Simplifying 3913 yields:
% 108.83/57.95 | (1191) all_0_18_18 = e2
% 108.83/57.95 |
% 108.83/57.95 | From (1191) and (1567) follows:
% 108.83/57.95 | (3915) op(e2, e4) = all_0_12_12
% 108.83/57.95 |
% 108.83/57.95 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.83/57.95 | (1044) all_0_12_12 = e3
% 108.83/57.95 |
% 108.83/57.95 | Equations (1044) can reduce 1039 to:
% 108.83/57.95 | (400) $false
% 108.83/57.95 |
% 108.83/57.95 |-The branch is then unsatisfiable
% 108.83/57.95 |-Branch two:
% 108.83/57.95 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.83/57.95 |
% 108.83/57.95 | Applying alpha-rule on (2052) yields:
% 108.83/57.95 | (1565) all_0_13_13 = all_0_18_18
% 108.83/57.95 | (638) ~ (all_0_18_18 = e2)
% 108.83/57.95 |
% 108.83/57.95 | Combining equations (1565,3903) yields a new equation:
% 108.83/57.95 | (3913) all_0_18_18 = e2
% 108.83/57.95 |
% 108.83/57.95 | Simplifying 3913 yields:
% 108.83/57.95 | (1191) all_0_18_18 = e2
% 108.83/57.95 |
% 108.83/57.95 | Equations (1191) can reduce 638 to:
% 108.83/57.95 | (400) $false
% 108.83/57.95 |
% 108.83/57.95 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.83/57.96 |
% 108.83/57.96 | Applying alpha-rule on (14837) yields:
% 108.83/57.96 | (1799) all_0_14_14 = all_0_30_30
% 108.83/57.96 | (650) ~ (all_0_30_30 = e0)
% 108.83/57.96 |
% 108.83/57.96 | Equations (646) can reduce 650 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (638) ~ (all_0_18_18 = e2)
% 108.83/57.96 | (1163) all_0_19_19 = e2
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (1163,1159) yields a new equation:
% 108.83/57.96 | (615) e3 = e2
% 108.83/57.96 |
% 108.83/57.96 | Equations (615) can reduce 52 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.83/57.96 |
% 108.83/57.96 | Applying alpha-rule on (14837) yields:
% 108.83/57.96 | (1799) all_0_14_14 = all_0_30_30
% 108.83/57.96 | (650) ~ (all_0_30_30 = e0)
% 108.83/57.96 |
% 108.83/57.96 | Equations (646) can reduce 650 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (1150) ~ (all_0_19_19 = e3)
% 108.83/57.96 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (2555), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (2571) all_0_34_34 = e3
% 108.83/57.96 |
% 108.83/57.96 | Equations (2571) can reduce 583 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (583) ~ (all_0_34_34 = e3)
% 108.83/57.96 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (2574), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (2551) all_0_34_34 = e2
% 108.83/57.96 |
% 108.83/57.96 | Equations (2551) can reduce 295 to:
% 108.83/57.96 | (706) ~ (all_0_19_19 = e2)
% 108.83/57.96 |
% 108.83/57.96 | Equations (2551) can reduce 2554 to:
% 108.83/57.96 | (482) ~ (e4 = e2)
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 482 yields:
% 108.83/57.96 | (21) ~ (e4 = e2)
% 108.83/57.96 |
% 108.83/57.96 | Equations (2551) can reduce 421 to:
% 108.83/57.96 | (310) ~ (e2 = e1)
% 108.83/57.96 |
% 108.83/57.96 | Equations (2551) can reduce 495 to:
% 108.83/57.96 | (336) ~ (e2 = e0)
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (160), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (711) all_0_15_15 = e2
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (711,969) yields a new equation:
% 108.83/57.96 | (620) e2 = e1
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 620 yields:
% 108.83/57.96 | (621) e2 = e1
% 108.83/57.96 |
% 108.83/57.96 | Equations (621) can reduce 310 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (769) ~ (all_0_15_15 = e2)
% 108.83/57.96 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (4541), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (936) all_0_37_37 = e3
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (847,936) yields a new equation:
% 108.83/57.96 | (596) e4 = e3
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 596 yields:
% 108.83/57.96 | (597) e4 = e3
% 108.83/57.96 |
% 108.83/57.96 | Equations (597) can reduce 255 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (1127) ~ (all_0_37_37 = e3)
% 108.83/57.96 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (1235), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (1236) all_0_16_16 = e2
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (454,1236) yields a new equation:
% 108.83/57.96 | (1531) e4 = e2
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 1531 yields:
% 108.83/57.96 | (798) e4 = e2
% 108.83/57.96 |
% 108.83/57.96 | Equations (798) can reduce 21 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (1239) ~ (all_0_16_16 = e2)
% 108.83/57.96 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (1240), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (1177) all_0_17_17 = e2
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (1177,1184) yields a new equation:
% 108.83/57.96 | (524) e2 = e0
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 524 yields:
% 108.83/57.96 | (525) e2 = e0
% 108.83/57.96 |
% 108.83/57.96 | Equations (525) can reduce 336 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (396) ~ (all_0_17_17 = e2)
% 108.83/57.96 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (1244), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (1191) all_0_18_18 = e2
% 108.83/57.96 |
% 108.83/57.96 | Equations (1191) can reduce 38 to:
% 108.83/57.96 | (2727) ~ (all_0_38_38 = e2)
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 2727 yields:
% 108.83/57.96 | (2728) ~ (all_0_38_38 = e2)
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (197), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (679) ~ (all_0_15_15 = e1)
% 108.83/57.96 |
% 108.83/57.96 | Equations (969) can reduce 679 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (969) all_0_15_15 = e1
% 108.83/57.96 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (4729), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (3208) all_0_38_38 = e3
% 108.83/57.96 |
% 108.83/57.96 | Equations (3208) can reduce 1835 to:
% 108.83/57.96 | (558) ~ (e4 = e3)
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 558 yields:
% 108.83/57.96 | (255) ~ (e4 = e3)
% 108.83/57.96 |
% 108.83/57.96 | Equations (3208) can reduce 2728 to:
% 108.83/57.96 | (52) ~ (e3 = e2)
% 108.83/57.96 |
% 108.83/57.96 | Equations (3208) can reduce 438 to:
% 108.83/57.96 | (298) ~ (e3 = e1)
% 108.83/57.96 |
% 108.83/57.96 | Equations (3208) can reduce 540 to:
% 108.83/57.96 | (80) ~ (e3 = e0)
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (198), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (1297) all_0_15_15 = e3
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (1297,969) yields a new equation:
% 108.83/57.96 | (1113) e3 = e1
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 1113 yields:
% 108.83/57.96 | (928) e3 = e1
% 108.83/57.96 |
% 108.83/57.96 | Equations (928) can reduce 298 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (572) ~ (all_0_15_15 = e3)
% 108.83/57.96 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.83/57.96 |
% 108.83/57.96 | Equations (969) can reduce 572 to:
% 108.83/57.96 | (824) ~ (e3 = e1)
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 824 yields:
% 108.83/57.96 | (298) ~ (e3 = e1)
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (117), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (696) ~ (all_0_39_39 = e1)
% 108.83/57.96 |
% 108.83/57.96 | Equations (1252) can reduce 696 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (1252) all_0_39_39 = e1
% 108.83/57.96 | (17438) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (4772), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (4773) all_0_24_24 = e3
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (4773,488) yields a new equation:
% 108.83/57.96 | (647) e3 = e0
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 647 yields:
% 108.83/57.96 | (648) e3 = e0
% 108.83/57.96 |
% 108.83/57.96 | Equations (648) can reduce 80 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (1379) ~ (all_0_24_24 = e3)
% 108.83/57.96 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (4777), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (3056) all_0_29_29 = e3
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (941,3056) yields a new equation:
% 108.83/57.96 | (596) e4 = e3
% 108.83/57.96 |
% 108.83/57.96 | Simplifying 596 yields:
% 108.83/57.96 | (597) e4 = e3
% 108.83/57.96 |
% 108.83/57.96 | Equations (597) can reduce 255 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (3115) ~ (all_0_29_29 = e3)
% 108.83/57.96 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 108.83/57.96 |
% 108.83/57.96 +-Applying beta-rule and splitting (4794), into two cases.
% 108.83/57.96 |-Branch one:
% 108.83/57.96 | (2571) all_0_34_34 = e3
% 108.83/57.96 |
% 108.83/57.96 | Combining equations (2551,2571) yields a new equation:
% 108.83/57.96 | (615) e3 = e2
% 108.83/57.96 |
% 108.83/57.96 | Equations (615) can reduce 52 to:
% 108.83/57.96 | (400) $false
% 108.83/57.96 |
% 108.83/57.96 |-The branch is then unsatisfiable
% 108.83/57.96 |-Branch two:
% 108.83/57.96 | (583) ~ (all_0_34_34 = e3)
% 108.83/57.97 | (701) all_0_39_39 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (1252,701) yields a new equation:
% 108.83/57.97 | (928) e3 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (928) can reduce 298 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (3095) ~ (all_0_38_38 = e3)
% 108.83/57.97 | (701) all_0_39_39 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (701,1252) yields a new equation:
% 108.83/57.97 | (1113) e3 = e1
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 1113 yields:
% 108.83/57.97 | (928) e3 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (928) can reduce 298 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (638) ~ (all_0_18_18 = e2)
% 108.83/57.97 | (1163) all_0_19_19 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (1163) can reduce 706 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (4340) ~ (all_0_34_34 = e2)
% 108.83/57.97 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (4341), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (4342) all_0_34_34 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (4342) can reduce 421 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (421) ~ (all_0_34_34 = e1)
% 108.83/57.97 | (4345) all_0_34_34 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (4345) can reduce 495 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (579) ~ (all_0_32_32 = e3)
% 108.83/57.97 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (632), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (625) all_0_32_32 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (625) can reduce 448 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (448) ~ (all_0_32_32 = e2)
% 108.83/57.97 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (636), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1108) all_0_32_32 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (1108) can reduce 419 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (419) ~ (all_0_32_32 = e1)
% 108.83/57.97 | (658) all_0_32_32 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (658) can reduce 889 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (719) ~ (all_0_35_35 = e2)
% 108.83/57.97 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (121), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (732) all_0_35_35 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (732) can reduce 719 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (719) ~ (all_0_35_35 = e2)
% 108.83/57.97 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (1477), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1478) all_0_36_36 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (1478,534) yields a new equation:
% 108.83/57.97 | (524) e2 = e0
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 524 yields:
% 108.83/57.97 | (525) e2 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (525) can reduce 336 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (481) ~ (all_0_36_36 = e2)
% 108.83/57.97 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (920), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (921) all_0_22_22 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (442,921) yields a new equation:
% 108.83/57.97 | (615) e3 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (615) can reduce 52 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (925) ~ (all_0_22_22 = e3)
% 108.83/57.97 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (926), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (808) all_0_27_27 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (816,808) yields a new equation:
% 108.83/57.97 | (928) e3 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (928) can reduce 298 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (573) ~ (all_0_27_27 = e3)
% 108.83/57.97 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (931), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (629) all_0_32_32 = e3
% 108.83/57.97 |
% 108.83/57.97 | Equations (629) can reduce 448 to:
% 108.83/57.97 | (52) ~ (e3 = e2)
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (5510), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1125) all_0_28_28 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (1125) can reduce 207 to:
% 108.83/57.97 | (539) ~ (all_0_38_38 = e0)
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 539 yields:
% 108.83/57.97 | (540) ~ (all_0_38_38 = e0)
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (1482), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1129) all_0_37_37 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (847,1129) yields a new equation:
% 108.83/57.97 | (1531) e4 = e2
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 1531 yields:
% 108.83/57.97 | (798) e4 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (798) can reduce 21 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (450) ~ (all_0_37_37 = e2)
% 108.83/57.97 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (4528), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (3218) all_0_38_38 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (3218) can reduce 210 to:
% 108.83/57.97 | (719) ~ (all_0_35_35 = e2)
% 108.83/57.97 |
% 108.83/57.97 | Equations (3218) can reduce 1835 to:
% 108.83/57.97 | (482) ~ (e4 = e2)
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 482 yields:
% 108.83/57.97 | (21) ~ (e4 = e2)
% 108.83/57.97 |
% 108.83/57.97 | Equations (3218) can reduce 438 to:
% 108.83/57.97 | (310) ~ (e2 = e1)
% 108.83/57.97 |
% 108.83/57.97 | Equations (3218) can reduce 540 to:
% 108.83/57.97 | (336) ~ (e2 = e0)
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (160), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (711) all_0_15_15 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (969,711) yields a new equation:
% 108.83/57.97 | (621) e2 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (621) can reduce 310 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (769) ~ (all_0_15_15 = e2)
% 108.83/57.97 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (969) can reduce 769 to:
% 108.83/57.97 | (766) ~ (e2 = e1)
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 766 yields:
% 108.83/57.97 | (310) ~ (e2 = e1)
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (179), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (711) all_0_15_15 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (969,711) yields a new equation:
% 108.83/57.97 | (621) e2 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (621) can reduce 310 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (769) ~ (all_0_15_15 = e2)
% 108.83/57.97 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (1529), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1530) all_0_20_20 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (500,1530) yields a new equation:
% 108.83/57.97 | (1531) e4 = e2
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 1531 yields:
% 108.83/57.97 | (798) e4 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (798) can reduce 21 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (444) ~ (all_0_20_20 = e2)
% 108.83/57.97 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (1535), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1536) all_0_25_25 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (1536,1698) yields a new equation:
% 108.83/57.97 | (615) e3 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (615) can reduce 52 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (473) ~ (all_0_25_25 = e2)
% 108.83/57.97 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (1539), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (613) all_0_30_30 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (646,613) yields a new equation:
% 108.83/57.97 | (525) e2 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (525) can reduce 336 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (617) ~ (all_0_30_30 = e2)
% 108.83/57.97 | (732) all_0_35_35 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (732) can reduce 719 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (2728) ~ (all_0_38_38 = e2)
% 108.83/57.97 | (705) all_0_39_39 = e2
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (1252,705) yields a new equation:
% 108.83/57.97 | (621) e2 = e1
% 108.83/57.97 |
% 108.83/57.97 | Equations (621) can reduce 310 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (758) ~ (all_0_28_28 = e0)
% 108.83/57.97 | (5206) all_0_29_29 = e0
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (941,5206) yields a new equation:
% 108.83/57.97 | (743) e4 = e0
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 743 yields:
% 108.83/57.97 | (515) e4 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (515) can reduce 267 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (579) ~ (all_0_32_32 = e3)
% 108.83/57.97 | (936) all_0_37_37 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (847,936) yields a new equation:
% 108.83/57.97 | (596) e4 = e3
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 596 yields:
% 108.83/57.97 | (597) e4 = e3
% 108.83/57.97 |
% 108.83/57.97 | Equations (597) can reduce 255 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (577) ~ (all_0_25_25 = e3)
% 108.83/57.97 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (57), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (1698) all_0_25_25 = e3
% 108.83/57.97 |
% 108.83/57.97 | Equations (1698) can reduce 577 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (577) ~ (all_0_25_25 = e3)
% 108.83/57.97 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (142), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (855) all_0_17_17 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (1184,855) yields a new equation:
% 108.83/57.97 | (648) e3 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (648) can reduce 80 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (919) ~ (all_0_17_17 = e3)
% 108.83/57.97 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (3006), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (3007) all_0_26_26 = e3
% 108.83/57.97 |
% 108.83/57.97 | Combining equations (471,3007) yields a new equation:
% 108.83/57.97 | (615) e3 = e2
% 108.83/57.97 |
% 108.83/57.97 | Equations (615) can reduce 52 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.97 | (3010) ~ (all_0_26_26 = e3)
% 108.83/57.97 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/57.97 |
% 108.83/57.97 | Equations (471) can reduce 3010 to:
% 108.83/57.97 | (643) ~ (e3 = e2)
% 108.83/57.97 |
% 108.83/57.97 | Simplifying 643 yields:
% 108.83/57.97 | (52) ~ (e3 = e2)
% 108.83/57.97 |
% 108.83/57.97 +-Applying beta-rule and splitting (93), into two cases.
% 108.83/57.97 |-Branch one:
% 108.83/57.97 | (749) all_0_25_25 = e0
% 108.83/57.97 |
% 108.83/57.97 | Equations (749) can reduce 1054 to:
% 108.83/57.97 | (400) $false
% 108.83/57.97 |
% 108.83/57.97 |-The branch is then unsatisfiable
% 108.83/57.97 |-Branch two:
% 108.83/57.98 | (1054) ~ (all_0_25_25 = e0)
% 108.83/57.98 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (3011), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (808) all_0_27_27 = e3
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (816,808) yields a new equation:
% 108.83/57.98 | (928) e3 = e1
% 108.83/57.98 |
% 108.83/57.98 | Equations (928) can reduce 298 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (573) ~ (all_0_27_27 = e3)
% 108.83/57.98 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (816) can reduce 573 to:
% 108.83/57.98 | (824) ~ (e3 = e1)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 824 yields:
% 108.83/57.98 | (298) ~ (e3 = e1)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (920), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (921) all_0_22_22 = e3
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (442,921) yields a new equation:
% 108.83/57.98 | (615) e3 = e2
% 108.83/57.98 |
% 108.83/57.98 | Equations (615) can reduce 52 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (925) ~ (all_0_22_22 = e3)
% 108.83/57.98 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (926), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (808) all_0_27_27 = e3
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (816,808) yields a new equation:
% 108.83/57.98 | (928) e3 = e1
% 108.83/57.98 |
% 108.83/57.98 | Equations (928) can reduce 298 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (573) ~ (all_0_27_27 = e3)
% 108.83/57.98 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (931), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (629) all_0_32_32 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (629) can reduce 604 to:
% 108.83/57.98 | (558) ~ (e4 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 558 yields:
% 108.83/57.98 | (255) ~ (e4 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Equations (629) can reduce 889 to:
% 108.83/57.98 | (80) ~ (e3 = e0)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (3016), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (1106) all_0_28_28 = e3
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (5498), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (523) all_0_26_26 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (523,471) yields a new equation:
% 108.83/57.98 | (525) e2 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (525) can reduce 336 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (527) ~ (all_0_26_26 = e0)
% 108.83/57.98 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (5504), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (995) all_0_27_27 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (816,995) yields a new equation:
% 108.83/57.98 | (530) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 530 yields:
% 108.83/57.98 | (531) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (531) can reduce 40 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (660) ~ (all_0_27_27 = e0)
% 108.83/57.98 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (5510), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (1125) all_0_28_28 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (1106,1125) yields a new equation:
% 108.83/57.98 | (647) e3 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 647 yields:
% 108.83/57.98 | (648) e3 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (648) can reduce 80 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (758) ~ (all_0_28_28 = e0)
% 108.83/57.98 | (5206) all_0_29_29 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (941,5206) yields a new equation:
% 108.83/57.98 | (743) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 743 yields:
% 108.83/57.98 | (515) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (515) can reduce 267 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (893) ~ (all_0_28_28 = e3)
% 108.83/57.98 | (3056) all_0_29_29 = e3
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (941,3056) yields a new equation:
% 108.83/57.98 | (596) e4 = e3
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 596 yields:
% 108.83/57.98 | (597) e4 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (597) can reduce 255 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (579) ~ (all_0_32_32 = e3)
% 108.83/57.98 | (936) all_0_37_37 = e3
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (847,936) yields a new equation:
% 108.83/57.98 | (596) e4 = e3
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 596 yields:
% 108.83/57.98 | (597) e4 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (597) can reduce 255 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (659) ~ (all_0_17_17 = e0)
% 108.83/57.98 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (4262), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (4273) all_0_22_22 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (4273,442) yields a new equation:
% 108.83/57.98 | (525) e2 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (525) can reduce 336 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (4277) ~ (all_0_22_22 = e0)
% 108.83/57.98 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (4278), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (995) all_0_27_27 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (816,995) yields a new equation:
% 108.83/57.98 | (530) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 530 yields:
% 108.83/57.98 | (531) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (531) can reduce 40 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (660) ~ (all_0_27_27 = e0)
% 108.83/57.98 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (4292), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (658) all_0_32_32 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (658) can reduce 889 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (889) ~ (all_0_32_32 = e0)
% 108.83/57.98 | (1136) all_0_37_37 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (847,1136) yields a new equation:
% 108.83/57.98 | (743) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 743 yields:
% 108.83/57.98 | (515) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (515) can reduce 267 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (650) ~ (all_0_30_30 = e0)
% 108.83/57.98 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (123), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (736) all_0_15_15 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (736,969) yields a new equation:
% 108.83/57.98 | (531) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (531) can reduce 40 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (739) ~ (all_0_15_15 = e0)
% 108.83/57.98 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (969) can reduce 739 to:
% 108.83/57.98 | (40) ~ (e1 = e0)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (6692), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (575) all_0_30_30 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (575) can reduce 1800 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (1800) ~ (all_0_30_30 = e3)
% 108.83/57.98 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (651), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (529) all_0_31_31 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (414,529) yields a new equation:
% 108.83/57.98 | (530) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 530 yields:
% 108.83/57.98 | (531) e1 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (531) can reduce 40 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (533) ~ (all_0_31_31 = e0)
% 108.83/57.98 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (11175), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (613) all_0_30_30 = e2
% 108.83/57.98 |
% 108.83/57.98 | Equations (613) can reduce 202 to:
% 108.83/57.98 | (11182) ~ (all_0_34_34 = e2)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 11182 yields:
% 108.83/57.98 | (4340) ~ (all_0_34_34 = e2)
% 108.83/57.98 |
% 108.83/57.98 | Equations (613) can reduce 15 to:
% 108.83/57.98 | (718) ~ (all_0_35_35 = e2)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 718 yields:
% 108.83/57.98 | (719) ~ (all_0_35_35 = e2)
% 108.83/57.98 |
% 108.83/57.98 | Equations (613) can reduce 650 to:
% 108.83/57.98 | (336) ~ (e2 = e0)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (740), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (742) all_0_20_20 = e0
% 108.83/57.98 |
% 108.83/57.98 | Combining equations (500,742) yields a new equation:
% 108.83/57.98 | (743) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 743 yields:
% 108.83/57.98 | (515) e4 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (515) can reduce 267 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (490) ~ (all_0_20_20 = e0)
% 108.83/57.98 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (747), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (749) all_0_25_25 = e0
% 108.83/57.98 |
% 108.83/57.98 | Equations (749) can reduce 185 to:
% 108.83/57.98 | (757) ~ (all_0_28_28 = e0)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 757 yields:
% 108.83/57.98 | (758) ~ (all_0_28_28 = e0)
% 108.83/57.98 |
% 108.83/57.98 | Equations (749) can reduce 194 to:
% 108.83/57.98 | (752) ~ (all_0_35_35 = e0)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 752 yields:
% 108.83/57.98 | (536) ~ (all_0_35_35 = e0)
% 108.83/57.98 |
% 108.83/57.98 | Equations (749) can reduce 505 to:
% 108.83/57.98 | (543) ~ (e4 = e0)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 543 yields:
% 108.83/57.98 | (267) ~ (e4 = e0)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (86), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (854) all_0_28_28 = e4
% 108.83/57.98 |
% 108.83/57.98 | Equations (854) can reduce 883 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (883) ~ (all_0_28_28 = e4)
% 108.83/57.98 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (1021), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (1106) all_0_28_28 = e3
% 108.83/57.98 |
% 108.83/57.98 | Equations (1106) can reduce 207 to:
% 108.83/57.98 | (3094) ~ (all_0_38_38 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 3094 yields:
% 108.83/57.98 | (3095) ~ (all_0_38_38 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Equations (1106) can reduce 883 to:
% 108.83/57.98 | (558) ~ (e4 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Simplifying 558 yields:
% 108.83/57.98 | (255) ~ (e4 = e3)
% 108.83/57.98 |
% 108.83/57.98 | Equations (1106) can reduce 434 to:
% 108.83/57.98 | (298) ~ (e3 = e1)
% 108.83/57.98 |
% 108.83/57.98 | Equations (1106) can reduce 758 to:
% 108.83/57.98 | (80) ~ (e3 = e0)
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (77), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (594) ~ (all_0_33_33 = e4)
% 108.83/57.98 |
% 108.83/57.98 | Equations (1322) can reduce 594 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (1322) all_0_33_33 = e4
% 108.83/57.98 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (254), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (728) all_0_35_35 = e3
% 108.83/57.98 |
% 108.83/57.98 | From (728) and (89) follows:
% 108.83/57.98 | (7494) op(e0, e4) = e3
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (340), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (756) all_0_18_18 = e0
% 108.83/57.98 |
% 108.83/57.98 +-Applying beta-rule and splitting (204), into two cases.
% 108.83/57.98 |-Branch one:
% 108.83/57.98 | (679) ~ (all_0_15_15 = e1)
% 108.83/57.98 |
% 108.83/57.98 | Equations (969) can reduce 679 to:
% 108.83/57.98 | (400) $false
% 108.83/57.98 |
% 108.83/57.98 |-The branch is then unsatisfiable
% 108.83/57.98 |-Branch two:
% 108.83/57.98 | (969) all_0_15_15 = e1
% 108.83/57.99 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (16711), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (16712) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (16712), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.83/57.99 |
% 108.83/57.99 | Applying alpha-rule on (14822) yields:
% 108.83/57.99 | (1565) all_0_13_13 = all_0_18_18
% 108.83/57.99 | (1039) ~ (all_0_12_12 = e3)
% 108.83/57.99 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.83/57.99 |
% 108.83/57.99 | From (756) and (1567) follows:
% 108.83/57.99 | (1789) op(e0, e4) = all_0_12_12
% 108.83/57.99 |
% 108.83/57.99 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 108.83/57.99 | (1044) all_0_12_12 = e3
% 108.83/57.99 |
% 108.83/57.99 | Equations (1044) can reduce 1039 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Applying alpha-rule on (1792) yields:
% 108.83/57.99 | (1565) all_0_13_13 = all_0_18_18
% 108.83/57.99 | (1141) ~ (all_0_18_18 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Equations (756) can reduce 1141 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (16767) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 108.83/57.99 |
% 108.83/57.99 | Applying alpha-rule on (16767) yields:
% 108.83/57.99 | (1799) all_0_14_14 = all_0_30_30
% 108.83/57.99 | (617) ~ (all_0_30_30 = e2)
% 108.83/57.99 |
% 108.83/57.99 | Equations (613) can reduce 617 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (1141) ~ (all_0_18_18 = e0)
% 108.83/57.99 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (657), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (658) all_0_32_32 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (658) can reduce 242 to:
% 108.83/57.99 | (659) ~ (all_0_17_17 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Equations (658) can reduce 604 to:
% 108.83/57.99 | (543) ~ (e4 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Simplifying 543 yields:
% 108.83/57.99 | (267) ~ (e4 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Equations (658) can reduce 419 to:
% 108.83/57.99 | (498) ~ (e1 = e0)
% 108.83/57.99 |
% 108.83/57.99 | Simplifying 498 yields:
% 108.83/57.99 | (40) ~ (e1 = e0)
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (204), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (679) ~ (all_0_15_15 = e1)
% 108.83/57.99 |
% 108.83/57.99 | Equations (969) can reduce 679 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (969) all_0_15_15 = e1
% 108.83/57.99 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (92), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (736) all_0_15_15 = e0
% 108.83/57.99 |
% 108.83/57.99 | Combining equations (736,969) yields a new equation:
% 108.83/57.99 | (531) e1 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (531) can reduce 40 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (739) ~ (all_0_15_15 = e0)
% 108.83/57.99 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (1207), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (514) all_0_16_16 = e0
% 108.83/57.99 |
% 108.83/57.99 | Combining equations (454,514) yields a new equation:
% 108.83/57.99 | (743) e4 = e0
% 108.83/57.99 |
% 108.83/57.99 | Simplifying 743 yields:
% 108.83/57.99 | (515) e4 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (515) can reduce 267 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (517) ~ (all_0_16_16 = e0)
% 108.83/57.99 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (1212), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (1184) all_0_17_17 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (1184) can reduce 659 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (659) ~ (all_0_17_17 = e0)
% 108.83/57.99 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (1216), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (756) all_0_18_18 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (756) can reduce 1141 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (1141) ~ (all_0_18_18 = e0)
% 108.83/57.99 | (1187) all_0_19_19 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (1187) can reduce 489 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (889) ~ (all_0_32_32 = e0)
% 108.83/57.99 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (263), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (601) all_0_34_34 = e4
% 108.83/57.99 |
% 108.83/57.99 | Equations (601) can reduce 2554 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (2554) ~ (all_0_34_34 = e4)
% 108.83/57.99 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (2555), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (2571) all_0_34_34 = e3
% 108.83/57.99 |
% 108.83/57.99 | Equations (2571) can reduce 495 to:
% 108.83/57.99 | (80) ~ (e3 = e0)
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (2544), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (1463) all_0_33_33 = e0
% 108.83/57.99 |
% 108.83/57.99 | Combining equations (1463,1322) yields a new equation:
% 108.83/57.99 | (515) e4 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (515) can reduce 267 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (2612) ~ (all_0_33_33 = e0)
% 108.83/57.99 | (4345) all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 | Combining equations (2571,4345) yields a new equation:
% 108.83/57.99 | (647) e3 = e0
% 108.83/57.99 |
% 108.83/57.99 | Simplifying 647 yields:
% 108.83/57.99 | (648) e3 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (648) can reduce 80 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (583) ~ (all_0_34_34 = e3)
% 108.83/57.99 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (2574), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (2551) all_0_34_34 = e2
% 108.83/57.99 |
% 108.83/57.99 | Equations (2551) can reduce 4340 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (4340) ~ (all_0_34_34 = e2)
% 108.83/57.99 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (4341), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/57.99 | (4342) all_0_34_34 = e1
% 108.83/57.99 |
% 108.83/57.99 | Equations (4342) can reduce 421 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (421) ~ (all_0_34_34 = e1)
% 108.83/57.99 | (4345) all_0_34_34 = e0
% 108.83/57.99 |
% 108.83/57.99 | Equations (4345) can reduce 495 to:
% 108.83/57.99 | (400) $false
% 108.83/57.99 |
% 108.83/57.99 |-The branch is then unsatisfiable
% 108.83/57.99 |-Branch two:
% 108.83/57.99 | (585) ~ (all_0_35_35 = e3)
% 108.83/57.99 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/57.99 |
% 108.83/57.99 +-Applying beta-rule and splitting (4535), into two cases.
% 108.83/57.99 |-Branch one:
% 108.83/58.00 | (4536) all_0_36_36 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (534,4536) yields a new equation:
% 108.83/58.00 | (648) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Equations (648) can reduce 80 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (4540) ~ (all_0_36_36 = e3)
% 108.83/58.00 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (198), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1297) all_0_15_15 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (1297,969) yields a new equation:
% 108.83/58.00 | (1113) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 1113 yields:
% 108.83/58.00 | (928) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Equations (928) can reduce 298 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (572) ~ (all_0_15_15 = e3)
% 108.83/58.00 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (969) can reduce 572 to:
% 108.83/58.00 | (824) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 824 yields:
% 108.83/58.00 | (298) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (4541), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (936) all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (936,847) yields a new equation:
% 108.83/58.00 | (597) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (597) can reduce 255 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (1127) ~ (all_0_37_37 = e3)
% 108.83/58.00 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (4729), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (3208) all_0_38_38 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (3208) can reduce 3095 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (3095) ~ (all_0_38_38 = e3)
% 108.83/58.00 | (701) all_0_39_39 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (701,1252) yields a new equation:
% 108.83/58.00 | (1113) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 1113 yields:
% 108.83/58.00 | (928) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Equations (928) can reduce 298 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (893) ~ (all_0_28_28 = e3)
% 108.83/58.00 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (6683), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (6785) all_0_20_20 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (500,6785) yields a new equation:
% 108.83/58.00 | (596) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 596 yields:
% 108.83/58.00 | (597) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (597) can reduce 255 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (1306) ~ (all_0_20_20 = e3)
% 108.83/58.00 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (263), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (601) all_0_34_34 = e4
% 108.83/58.00 |
% 108.83/58.00 | Equations (601) can reduce 2554 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (2554) ~ (all_0_34_34 = e4)
% 108.83/58.00 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (2555), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (2571) all_0_34_34 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (2571) can reduce 295 to:
% 108.83/58.00 | (1150) ~ (all_0_19_19 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (2571) can reduce 132 to:
% 108.83/58.00 | (579) ~ (all_0_32_32 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (2571) can reduce 2554 to:
% 108.83/58.00 | (558) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 558 yields:
% 108.83/58.00 | (255) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (2571) can reduce 421 to:
% 108.83/58.00 | (298) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 | Equations (2571) can reduce 495 to:
% 108.83/58.00 | (80) ~ (e3 = e0)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (727), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (728) all_0_35_35 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 509 to:
% 108.83/58.00 | (558) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 558 yields:
% 108.83/58.00 | (255) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 719 to:
% 108.83/58.00 | (52) ~ (e3 = e2)
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 1138 to:
% 108.83/58.00 | (298) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 536 to:
% 108.83/58.00 | (80) ~ (e3 = e0)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (102), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1147) all_0_18_18 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (1147) can reduce 9 to:
% 108.83/58.00 | (919) ~ (all_0_17_17 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (1147) can reduce 458 to:
% 108.83/58.00 | (558) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 558 yields:
% 108.83/58.00 | (255) ~ (e4 = e3)
% 108.83/58.00 |
% 108.83/58.00 | Equations (1147) can reduce 428 to:
% 108.83/58.00 | (298) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (142), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (855) all_0_17_17 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (855) can reduce 919 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (919) ~ (all_0_17_17 = e3)
% 108.83/58.00 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (920), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (921) all_0_22_22 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (442,921) yields a new equation:
% 108.83/58.00 | (615) e3 = e2
% 108.83/58.00 |
% 108.83/58.00 | Equations (615) can reduce 52 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (925) ~ (all_0_22_22 = e3)
% 108.83/58.00 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (926), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (808) all_0_27_27 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (816,808) yields a new equation:
% 108.83/58.00 | (928) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Equations (928) can reduce 298 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (573) ~ (all_0_27_27 = e3)
% 108.83/58.00 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (931), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (629) all_0_32_32 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (629) can reduce 579 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (579) ~ (all_0_32_32 = e3)
% 108.83/58.00 | (936) all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (936,847) yields a new equation:
% 108.83/58.00 | (597) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (597) can reduce 255 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (1189) ~ (all_0_18_18 = e3)
% 108.83/58.00 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (1742), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (3107) all_0_23_23 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (427,3107) yields a new equation:
% 108.83/58.00 | (928) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Equations (928) can reduce 298 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (1361) ~ (all_0_23_23 = e3)
% 108.83/58.00 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (427) can reduce 1361 to:
% 108.83/58.00 | (824) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 824 yields:
% 108.83/58.00 | (298) ~ (e3 = e1)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (57), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1698) all_0_25_25 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (1698,749) yields a new equation:
% 108.83/58.00 | (647) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 647 yields:
% 108.83/58.00 | (648) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Equations (648) can reduce 80 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (577) ~ (all_0_25_25 = e3)
% 108.83/58.00 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (3006), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (3007) all_0_26_26 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (3007,471) yields a new equation:
% 108.83/58.00 | (614) e3 = e2
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 614 yields:
% 108.83/58.00 | (615) e3 = e2
% 108.83/58.00 |
% 108.83/58.00 | Equations (615) can reduce 52 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (3010) ~ (all_0_26_26 = e3)
% 108.83/58.00 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (169), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (857) ~ (all_0_27_27 = e1)
% 108.83/58.00 |
% 108.83/58.00 | Equations (816) can reduce 857 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (816) all_0_27_27 = e1
% 108.83/58.00 | (864) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (3011), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (808) all_0_27_27 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (816,808) yields a new equation:
% 108.83/58.00 | (928) e3 = e1
% 108.83/58.00 |
% 108.83/58.00 | Equations (928) can reduce 298 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (573) ~ (all_0_27_27 = e3)
% 108.83/58.00 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (3016), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1106) all_0_28_28 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (1106) can reduce 893 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (893) ~ (all_0_28_28 = e3)
% 108.83/58.00 | (3056) all_0_29_29 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (941,3056) yields a new equation:
% 108.83/58.00 | (596) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 596 yields:
% 108.83/58.00 | (597) e4 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (597) can reduce 255 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.00 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (142), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (855) all_0_17_17 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (855) can reduce 396 to:
% 108.83/58.00 | (52) ~ (e3 = e2)
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (254), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (728) all_0_35_35 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 585 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.00 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (6789), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1698) all_0_25_25 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (1698,749) yields a new equation:
% 108.83/58.00 | (647) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Simplifying 647 yields:
% 108.83/58.00 | (648) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Equations (648) can reduce 80 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (577) ~ (all_0_25_25 = e3)
% 108.83/58.00 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (7020), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (575) all_0_30_30 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (613,575) yields a new equation:
% 108.83/58.00 | (615) e3 = e2
% 108.83/58.00 |
% 108.83/58.00 | Equations (615) can reduce 52 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (1800) ~ (all_0_30_30 = e3)
% 108.83/58.00 | (728) all_0_35_35 = e3
% 108.83/58.00 |
% 108.83/58.00 | Equations (728) can reduce 585 to:
% 108.83/58.00 | (400) $false
% 108.83/58.00 |
% 108.83/58.00 |-The branch is then unsatisfiable
% 108.83/58.00 |-Branch two:
% 108.83/58.00 | (919) ~ (all_0_17_17 = e3)
% 108.83/58.00 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.00 |
% 108.83/58.00 +-Applying beta-rule and splitting (57), into two cases.
% 108.83/58.00 |-Branch one:
% 108.83/58.00 | (1698) all_0_25_25 = e3
% 108.83/58.00 |
% 108.83/58.00 | Combining equations (749,1698) yields a new equation:
% 108.83/58.00 | (648) e3 = e0
% 108.83/58.00 |
% 108.83/58.00 | Equations (648) can reduce 80 to:
% 108.83/58.00 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (577) ~ (all_0_25_25 = e3)
% 108.83/58.01 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (749) can reduce 577 to:
% 108.83/58.01 | (665) ~ (e3 = e0)
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 665 yields:
% 108.83/58.01 | (80) ~ (e3 = e0)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (254), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (728) all_0_35_35 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (728) can reduce 585 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.01 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (4535), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (4536) all_0_36_36 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (4536,534) yields a new equation:
% 108.83/58.01 | (647) e3 = e0
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 647 yields:
% 108.83/58.01 | (648) e3 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (648) can reduce 80 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (4540) ~ (all_0_36_36 = e3)
% 108.83/58.01 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (4541), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (936) all_0_37_37 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (847,936) yields a new equation:
% 108.83/58.01 | (596) e4 = e3
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 596 yields:
% 108.83/58.01 | (597) e4 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (597) can reduce 255 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (1127) ~ (all_0_37_37 = e3)
% 108.83/58.01 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (4729), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (3208) all_0_38_38 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (3208) can reduce 1835 to:
% 108.83/58.01 | (558) ~ (e4 = e3)
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 558 yields:
% 108.83/58.01 | (255) ~ (e4 = e3)
% 108.83/58.01 |
% 108.83/58.01 | Equations (3208) can reduce 438 to:
% 108.83/58.01 | (298) ~ (e3 = e1)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (198), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1297) all_0_15_15 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (1297,969) yields a new equation:
% 108.83/58.01 | (1113) e3 = e1
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 1113 yields:
% 108.83/58.01 | (928) e3 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (928) can reduce 298 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (572) ~ (all_0_15_15 = e3)
% 108.83/58.01 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (969) can reduce 572 to:
% 108.83/58.01 | (824) ~ (e3 = e1)
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 824 yields:
% 108.83/58.01 | (298) ~ (e3 = e1)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (332), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1151) all_0_19_19 = e4
% 108.83/58.01 |
% 108.83/58.01 | Equations (1151) can reduce 460 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (460) ~ (all_0_19_19 = e4)
% 108.83/58.01 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (168), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1163) all_0_19_19 = e2
% 108.83/58.01 |
% 108.83/58.01 | Equations (1163) can reduce 1150 to:
% 108.83/58.01 | (643) ~ (e3 = e2)
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 643 yields:
% 108.83/58.01 | (52) ~ (e3 = e2)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (2769), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (3117) all_0_16_16 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (3117,454) yields a new equation:
% 108.83/58.01 | (597) e4 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (597) can reduce 255 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (3121) ~ (all_0_16_16 = e3)
% 108.83/58.01 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (454) can reduce 3121 to:
% 108.83/58.01 | (255) ~ (e4 = e3)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (920), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (921) all_0_22_22 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (442,921) yields a new equation:
% 108.83/58.01 | (615) e3 = e2
% 108.83/58.01 |
% 108.83/58.01 | Equations (615) can reduce 52 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (925) ~ (all_0_22_22 = e3)
% 108.83/58.01 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (926), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (808) all_0_27_27 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (816,808) yields a new equation:
% 108.83/58.01 | (928) e3 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (928) can reduce 298 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (573) ~ (all_0_27_27 = e3)
% 108.83/58.01 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (931), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (629) all_0_32_32 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (629) can reduce 579 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (579) ~ (all_0_32_32 = e3)
% 108.83/58.01 | (936) all_0_37_37 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (847,936) yields a new equation:
% 108.83/58.01 | (596) e4 = e3
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 596 yields:
% 108.83/58.01 | (597) e4 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (597) can reduce 255 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (706) ~ (all_0_19_19 = e2)
% 108.83/58.01 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (1154), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1159) all_0_19_19 = e3
% 108.83/58.01 |
% 108.83/58.01 | Equations (1159) can reduce 1150 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (1150) ~ (all_0_19_19 = e3)
% 108.83/58.01 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (1162), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1163) all_0_19_19 = e2
% 108.83/58.01 |
% 108.83/58.01 | Equations (1163) can reduce 706 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (706) ~ (all_0_19_19 = e2)
% 108.83/58.01 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (1166), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (829) all_0_19_19 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (829) can reduce 943 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (943) ~ (all_0_19_19 = e1)
% 108.83/58.01 | (1187) all_0_19_19 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (1187) can reduce 489 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (3095) ~ (all_0_38_38 = e3)
% 108.83/58.01 | (701) all_0_39_39 = e3
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (701,1252) yields a new equation:
% 108.83/58.01 | (1113) e3 = e1
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 1113 yields:
% 108.83/58.01 | (928) e3 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (928) can reduce 298 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (583) ~ (all_0_34_34 = e3)
% 108.83/58.01 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (2574), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (2551) all_0_34_34 = e2
% 108.83/58.01 |
% 108.83/58.01 | Equations (2551) can reduce 4340 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (4340) ~ (all_0_34_34 = e2)
% 108.83/58.01 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (4341), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (4342) all_0_34_34 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (4342) can reduce 421 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (421) ~ (all_0_34_34 = e1)
% 108.83/58.01 | (4345) all_0_34_34 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (4345) can reduce 495 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (1054) ~ (all_0_25_25 = e0)
% 108.83/58.01 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (1201), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (646) all_0_30_30 = e0
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (613,646) yields a new equation:
% 108.83/58.01 | (524) e2 = e0
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 524 yields:
% 108.83/58.01 | (525) e2 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (525) can reduce 336 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (650) ~ (all_0_30_30 = e0)
% 108.83/58.01 | (1139) all_0_35_35 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (1139) can reduce 536 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (617) ~ (all_0_30_30 = e2)
% 108.83/58.01 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (657), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (658) all_0_32_32 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (658) can reduce 301 to:
% 108.83/58.01 | (650) ~ (all_0_30_30 = e0)
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (14452), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1521) all_0_30_30 = e1
% 108.83/58.01 |
% 108.83/58.01 | Equations (1521) can reduce 417 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (417) ~ (all_0_30_30 = e1)
% 108.83/58.01 | (646) all_0_30_30 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (646) can reduce 650 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (889) ~ (all_0_32_32 = e0)
% 108.83/58.01 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 108.83/58.01 |
% 108.83/58.01 +-Applying beta-rule and splitting (2544), into two cases.
% 108.83/58.01 |-Branch one:
% 108.83/58.01 | (1463) all_0_33_33 = e0
% 108.83/58.01 |
% 108.83/58.01 | Combining equations (1322,1463) yields a new equation:
% 108.83/58.01 | (743) e4 = e0
% 108.83/58.01 |
% 108.83/58.01 | Simplifying 743 yields:
% 108.83/58.01 | (515) e4 = e0
% 108.83/58.01 |
% 108.83/58.01 | Equations (515) can reduce 267 to:
% 108.83/58.01 | (400) $false
% 108.83/58.01 |
% 108.83/58.01 |-The branch is then unsatisfiable
% 108.83/58.01 |-Branch two:
% 108.83/58.01 | (2612) ~ (all_0_33_33 = e0)
% 108.83/58.02 | (4345) all_0_34_34 = e0
% 108.83/58.02 |
% 108.83/58.02 | Equations (4345) can reduce 495 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (1002) ~ (all_0_37_37 = e4)
% 108.83/58.02 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (801), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (804) all_0_27_27 = e4
% 108.83/58.02 |
% 108.83/58.02 | Combining equations (804,816) yields a new equation:
% 108.83/58.02 | (975) e4 = e1
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 975 yields:
% 108.83/58.02 | (838) e4 = e1
% 108.83/58.02 |
% 108.83/58.02 | Equations (838) can reduce 56 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (785) ~ (all_0_27_27 = e4)
% 108.83/58.02 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (841), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (609) all_0_32_32 = e4
% 108.83/58.02 |
% 108.83/58.02 | Equations (609) can reduce 604 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (604) ~ (all_0_32_32 = e4)
% 108.83/58.02 | (847) all_0_37_37 = e4
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 1002 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Applying alpha-rule on (1326) yields:
% 108.83/58.02 | (969) all_0_15_15 = e1
% 108.83/58.02 | (1322) all_0_33_33 = e4
% 108.83/58.02 | (417) ~ (all_0_30_30 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 344 to:
% 108.83/58.02 | (5989) ~ (all_0_17_17 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 5989 yields:
% 108.83/58.02 | (817) ~ (all_0_17_17 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 90 to:
% 108.83/58.02 | (1549) ~ (all_0_18_18 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 1549 yields:
% 108.83/58.02 | (428) ~ (all_0_18_18 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 319 to:
% 108.83/58.02 | (3853) ~ (all_0_19_19 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 3853 yields:
% 108.83/58.02 | (943) ~ (all_0_19_19 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 42 to:
% 108.83/58.02 | (5275) ~ (all_0_25_25 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 5275 yields:
% 108.83/58.02 | (1519) ~ (all_0_25_25 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 3 to:
% 108.83/58.02 | (17107) ~ (all_0_30_30 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 17107 yields:
% 108.83/58.02 | (417) ~ (all_0_30_30 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (969) can reduce 501 to:
% 108.83/58.02 | (764) ~ (e4 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 764 yields:
% 108.83/58.02 | (56) ~ (e4 = e1)
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (1091), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (2975) all_0_36_36 = e4
% 108.83/58.02 |
% 108.83/58.02 | Combining equations (2975,534) yields a new equation:
% 108.83/58.02 | (743) e4 = e0
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 743 yields:
% 108.83/58.02 | (515) e4 = e0
% 108.83/58.02 |
% 108.83/58.02 | Equations (515) can reduce 267 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (466) ~ (all_0_36_36 = e4)
% 108.83/58.02 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (262), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (829) all_0_19_19 = e1
% 108.83/58.02 |
% 108.83/58.02 | Equations (829) can reduce 943 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (943) ~ (all_0_19_19 = e1)
% 108.83/58.02 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (944), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (8658) all_0_24_24 = e1
% 108.83/58.02 |
% 108.83/58.02 | Combining equations (488,8658) yields a new equation:
% 108.83/58.02 | (531) e1 = e0
% 108.83/58.02 |
% 108.83/58.02 | Equations (531) can reduce 40 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (432) ~ (all_0_24_24 = e1)
% 108.83/58.02 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (8663), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (4599) all_0_29_29 = e1
% 108.83/58.02 |
% 108.83/58.02 | Combining equations (941,4599) yields a new equation:
% 108.83/58.02 | (975) e4 = e1
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 975 yields:
% 108.83/58.02 | (838) e4 = e1
% 108.83/58.02 |
% 108.83/58.02 | Equations (838) can reduce 56 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (2946) ~ (all_0_29_29 = e1)
% 108.83/58.02 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (11125), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (4342) all_0_34_34 = e1
% 108.83/58.02 |
% 108.83/58.02 | Equations (4342) can reduce 421 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (421) ~ (all_0_34_34 = e1)
% 108.83/58.02 | (1252) all_0_39_39 = e1
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 94 to:
% 108.83/58.02 | (943) ~ (all_0_19_19 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 85 to:
% 108.83/58.02 | (421) ~ (all_0_34_34 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 63 to:
% 108.83/58.02 | (1138) ~ (all_0_35_35 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 231 to:
% 108.83/58.02 | (438) ~ (all_0_38_38 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 607 to:
% 108.83/58.02 | (764) ~ (e4 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 764 yields:
% 108.83/58.02 | (56) ~ (e4 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 571 to:
% 108.83/58.02 | (824) ~ (e3 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 824 yields:
% 108.83/58.02 | (298) ~ (e3 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 542 to:
% 108.83/58.02 | (40) ~ (e1 = e0)
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (2979), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (847) all_0_37_37 = e4
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 282 to:
% 108.83/58.02 | (456) ~ (all_0_17_17 = e4)
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 211 to:
% 108.83/58.02 | (604) ~ (all_0_32_32 = e4)
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 309 to:
% 108.83/58.02 | (509) ~ (all_0_35_35 = e4)
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 97 to:
% 108.83/58.02 | (1834) ~ (all_0_38_38 = e4)
% 108.83/58.02 |
% 108.83/58.02 | Simplifying 1834 yields:
% 108.83/58.02 | (1835) ~ (all_0_38_38 = e4)
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 450 to:
% 108.83/58.02 | (21) ~ (e4 = e2)
% 108.83/58.02 |
% 108.83/58.02 | Equations (847) can reduce 538 to:
% 108.83/58.02 | (267) ~ (e4 = e0)
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (269), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (696) ~ (all_0_39_39 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 696 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (1252) all_0_39_39 = e1
% 108.83/58.02 | (17156) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e2) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e3))
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (203), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (696) ~ (all_0_39_39 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (1252) can reduce 696 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (1252) all_0_39_39 = e1
% 108.83/58.02 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 108.83/58.02 |
% 108.83/58.02 +-Applying beta-rule and splitting (177), into two cases.
% 108.83/58.02 |-Branch one:
% 108.83/58.02 | (857) ~ (all_0_27_27 = e1)
% 108.83/58.02 |
% 108.83/58.02 | Equations (816) can reduce 857 to:
% 108.83/58.02 | (400) $false
% 108.83/58.02 |
% 108.83/58.02 |-The branch is then unsatisfiable
% 108.83/58.02 |-Branch two:
% 108.83/58.02 | (816) all_0_27_27 = e1
% 108.83/58.03 | (9359) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e4)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (128), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (724) all_0_35_35 = e4
% 108.83/58.03 |
% 108.83/58.03 | Equations (724) can reduce 509 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (509) ~ (all_0_35_35 = e4)
% 108.83/58.03 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (304), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (646) all_0_30_30 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 62 to:
% 108.83/58.03 | (1054) ~ (all_0_25_25 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 301 to:
% 108.83/58.03 | (11228) ~ (all_0_32_32 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 11228 yields:
% 108.83/58.03 | (889) ~ (all_0_32_32 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 202 to:
% 108.83/58.03 | (494) ~ (all_0_34_34 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 494 yields:
% 108.83/58.03 | (495) ~ (all_0_34_34 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 15 to:
% 108.83/58.03 | (752) ~ (all_0_35_35 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 752 yields:
% 108.83/58.03 | (536) ~ (all_0_35_35 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 507 to:
% 108.83/58.03 | (543) ~ (e4 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 543 yields:
% 108.83/58.03 | (267) ~ (e4 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 1800 to:
% 108.83/58.03 | (665) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 665 yields:
% 108.83/58.03 | (80) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 417 to:
% 108.83/58.03 | (498) ~ (e1 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 498 yields:
% 108.83/58.03 | (40) ~ (e1 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (237), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (590) all_0_25_25 = e4
% 108.83/58.03 |
% 108.83/58.03 | Equations (590) can reduce 505 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (505) ~ (all_0_25_25 = e4)
% 108.83/58.03 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (327), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1184) all_0_17_17 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (1184) can reduce 242 to:
% 108.83/58.03 | (11228) ~ (all_0_32_32 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 11228 yields:
% 108.83/58.03 | (889) ~ (all_0_32_32 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1184) can reduce 456 to:
% 108.83/58.03 | (543) ~ (e4 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 543 yields:
% 108.83/58.03 | (267) ~ (e4 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1184) can reduce 396 to:
% 108.83/58.03 | (496) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 496 yields:
% 108.83/58.03 | (336) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1184) can reduce 817 to:
% 108.83/58.03 | (498) ~ (e1 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 498 yields:
% 108.83/58.03 | (40) ~ (e1 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (593), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1698) all_0_25_25 = e3
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 194 to:
% 108.83/58.03 | (584) ~ (all_0_35_35 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 584 yields:
% 108.83/58.03 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 505 to:
% 108.83/58.03 | (558) ~ (e4 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 558 yields:
% 108.83/58.03 | (255) ~ (e4 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 473 to:
% 108.83/58.03 | (52) ~ (e3 = e2)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 1519 to:
% 108.83/58.03 | (298) ~ (e3 = e1)
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 1054 to:
% 108.83/58.03 | (80) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 | From (1698) and (311) follows:
% 108.83/58.03 | (11701) op(e2, e4) = e3
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (93), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (749) all_0_25_25 = e0
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (749,1698) yields a new equation:
% 108.83/58.03 | (648) e3 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (648) can reduce 80 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (1054) ~ (all_0_25_25 = e0)
% 108.83/58.03 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (1698) can reduce 1054 to:
% 108.83/58.03 | (80) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (254), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (728) all_0_35_35 = e3
% 108.83/58.03 |
% 108.83/58.03 | Equations (728) can reduce 585 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.03 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (142), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (855) all_0_17_17 = e3
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (1184,855) yields a new equation:
% 108.83/58.03 | (648) e3 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (648) can reduce 80 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (919) ~ (all_0_17_17 = e3)
% 108.83/58.03 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 108.83/58.03 |
% 108.83/58.03 | Equations (1184) can reduce 919 to:
% 108.83/58.03 | (665) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 665 yields:
% 108.83/58.03 | (80) ~ (e3 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (5498), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (523) all_0_26_26 = e0
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (471,523) yields a new equation:
% 108.83/58.03 | (524) e2 = e0
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 524 yields:
% 108.83/58.03 | (525) e2 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (525) can reduce 336 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (527) ~ (all_0_26_26 = e0)
% 108.83/58.03 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (471) can reduce 527 to:
% 108.83/58.03 | (336) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (727), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (728) all_0_35_35 = e3
% 108.83/58.03 |
% 108.83/58.03 | Equations (728) can reduce 585 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (585) ~ (all_0_35_35 = e3)
% 108.83/58.03 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (5504), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (995) all_0_27_27 = e0
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (816,995) yields a new equation:
% 108.83/58.03 | (530) e1 = e0
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 530 yields:
% 108.83/58.03 | (531) e1 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (531) can reduce 40 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (660) ~ (all_0_27_27 = e0)
% 108.83/58.03 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (731), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (732) all_0_35_35 = e2
% 108.83/58.03 |
% 108.83/58.03 | Equations (732) can reduce 509 to:
% 108.83/58.03 | (482) ~ (e4 = e2)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 482 yields:
% 108.83/58.03 | (21) ~ (e4 = e2)
% 108.83/58.03 |
% 108.83/58.03 | Equations (732) can reduce 1138 to:
% 108.83/58.03 | (310) ~ (e2 = e1)
% 108.83/58.03 |
% 108.83/58.03 | Equations (732) can reduce 536 to:
% 108.83/58.03 | (336) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (107), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (613) all_0_30_30 = e2
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (646,613) yields a new equation:
% 108.83/58.03 | (525) e2 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (525) can reduce 336 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (617) ~ (all_0_30_30 = e2)
% 108.83/58.03 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 108.83/58.03 |
% 108.83/58.03 | Equations (646) can reduce 617 to:
% 108.83/58.03 | (496) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 496 yields:
% 108.83/58.03 | (336) ~ (e2 = e0)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (236), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (609) all_0_32_32 = e4
% 108.83/58.03 |
% 108.83/58.03 | Equations (609) can reduce 604 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (604) ~ (all_0_32_32 = e4)
% 108.83/58.03 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (4535), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (4536) all_0_36_36 = e3
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (534,4536) yields a new equation:
% 108.83/58.03 | (648) e3 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (648) can reduce 80 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (4540) ~ (all_0_36_36 = e3)
% 108.83/58.03 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (612), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (629) all_0_32_32 = e3
% 108.83/58.03 |
% 108.83/58.03 | Equations (629) can reduce 132 to:
% 108.83/58.03 | (582) ~ (all_0_34_34 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 582 yields:
% 108.83/58.03 | (583) ~ (all_0_34_34 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Equations (629) can reduce 604 to:
% 108.83/58.03 | (558) ~ (e4 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 558 yields:
% 108.83/58.03 | (255) ~ (e4 = e3)
% 108.83/58.03 |
% 108.83/58.03 | Equations (629) can reduce 448 to:
% 108.83/58.03 | (52) ~ (e3 = e2)
% 108.83/58.03 |
% 108.83/58.03 | Equations (629) can reduce 419 to:
% 108.83/58.03 | (298) ~ (e3 = e1)
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (263), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (601) all_0_34_34 = e4
% 108.83/58.03 |
% 108.83/58.03 | Equations (601) can reduce 2554 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (2554) ~ (all_0_34_34 = e4)
% 108.83/58.03 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (130), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1159) all_0_19_19 = e3
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (160), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (711) all_0_15_15 = e2
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (711,969) yields a new equation:
% 108.83/58.03 | (620) e2 = e1
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 620 yields:
% 108.83/58.03 | (621) e2 = e1
% 108.83/58.03 |
% 108.83/58.03 | Equations (621) can reduce 310 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (769) ~ (all_0_15_15 = e2)
% 108.83/58.03 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (197), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (679) ~ (all_0_15_15 = e1)
% 108.83/58.03 |
% 108.83/58.03 | Equations (969) can reduce 679 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (969) all_0_15_15 = e1
% 108.83/58.03 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (14793), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (14802) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (14802), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1783) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.03 |
% 108.83/58.03 | Applying alpha-rule on (1783) yields:
% 108.83/58.03 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.03 | (1785) ~ (all_0_12_12 = e2)
% 108.83/58.03 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (1235), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1236) all_0_16_16 = e2
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (454,1236) yields a new equation:
% 108.83/58.03 | (1531) e4 = e2
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 1531 yields:
% 108.83/58.03 | (798) e4 = e2
% 108.83/58.03 |
% 108.83/58.03 | Equations (798) can reduce 21 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (1239) ~ (all_0_16_16 = e2)
% 108.83/58.03 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.03 |
% 108.83/58.03 +-Applying beta-rule and splitting (1240), into two cases.
% 108.83/58.03 |-Branch one:
% 108.83/58.03 | (1177) all_0_17_17 = e2
% 108.83/58.03 |
% 108.83/58.03 | Combining equations (1177,1184) yields a new equation:
% 108.83/58.03 | (524) e2 = e0
% 108.83/58.03 |
% 108.83/58.03 | Simplifying 524 yields:
% 108.83/58.03 | (525) e2 = e0
% 108.83/58.03 |
% 108.83/58.03 | Equations (525) can reduce 336 to:
% 108.83/58.03 | (400) $false
% 108.83/58.03 |
% 108.83/58.03 |-The branch is then unsatisfiable
% 108.83/58.03 |-Branch two:
% 108.83/58.03 | (396) ~ (all_0_17_17 = e2)
% 108.83/58.03 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (1244), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (1191) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1191,1565) yields a new equation:
% 108.83/58.04 | (3903) all_0_13_13 = e2
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (8), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (679) ~ (all_0_15_15 = e1)
% 108.83/58.04 |
% 108.83/58.04 | Equations (969) can reduce 679 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (969) all_0_15_15 = e1
% 108.83/58.04 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (14820), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (14821), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Applying alpha-rule on (14822) yields:
% 108.83/58.04 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.04 | (1039) ~ (all_0_12_12 = e3)
% 108.83/58.04 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1565,3903) yields a new equation:
% 108.83/58.04 | (3913) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Simplifying 3913 yields:
% 108.83/58.04 | (1191) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | From (1191) and (1567) follows:
% 108.83/58.04 | (3915) op(e2, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.83/58.04 | (1044) all_0_12_12 = e3
% 108.83/58.04 |
% 108.83/58.04 | Equations (1044) can reduce 1039 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.83/58.04 |
% 108.83/58.04 | Applying alpha-rule on (2052) yields:
% 108.83/58.04 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.04 | (638) ~ (all_0_18_18 = e2)
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1565,3903) yields a new equation:
% 108.83/58.04 | (3913) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Simplifying 3913 yields:
% 108.83/58.04 | (1191) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Equations (1191) can reduce 638 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.83/58.04 |
% 108.83/58.04 | Applying alpha-rule on (14837) yields:
% 108.83/58.04 | (1799) all_0_14_14 = all_0_30_30
% 108.83/58.04 | (650) ~ (all_0_30_30 = e0)
% 108.83/58.04 |
% 108.83/58.04 | Equations (646) can reduce 650 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (638) ~ (all_0_18_18 = e2)
% 108.83/58.04 | (1163) all_0_19_19 = e2
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1163,1159) yields a new equation:
% 108.83/58.04 | (615) e3 = e2
% 108.83/58.04 |
% 108.83/58.04 | Equations (615) can reduce 52 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (14852) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 108.83/58.04 |
% 108.83/58.04 | Applying alpha-rule on (14852) yields:
% 108.83/58.04 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.04 | (1189) ~ (all_0_18_18 = e3)
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (1235), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (1236) all_0_16_16 = e2
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (454,1236) yields a new equation:
% 108.83/58.04 | (1531) e4 = e2
% 108.83/58.04 |
% 108.83/58.04 | Simplifying 1531 yields:
% 108.83/58.04 | (798) e4 = e2
% 108.83/58.04 |
% 108.83/58.04 | Equations (798) can reduce 21 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (1239) ~ (all_0_16_16 = e2)
% 108.83/58.04 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (1240), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (1177) all_0_17_17 = e2
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1177,1184) yields a new equation:
% 108.83/58.04 | (524) e2 = e0
% 108.83/58.04 |
% 108.83/58.04 | Simplifying 524 yields:
% 108.83/58.04 | (525) e2 = e0
% 108.83/58.04 |
% 108.83/58.04 | Equations (525) can reduce 336 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (396) ~ (all_0_17_17 = e2)
% 108.83/58.04 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (1244), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (1191) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1191,1565) yields a new equation:
% 108.83/58.04 | (3903) all_0_13_13 = e2
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (8), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (679) ~ (all_0_15_15 = e1)
% 108.83/58.04 |
% 108.83/58.04 | Equations (969) can reduce 679 to:
% 108.83/58.04 | (400) $false
% 108.83/58.04 |
% 108.83/58.04 |-The branch is then unsatisfiable
% 108.83/58.04 |-Branch two:
% 108.83/58.04 | (969) all_0_15_15 = e1
% 108.83/58.04 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (14820), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (14821) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 108.83/58.04 |
% 108.83/58.04 +-Applying beta-rule and splitting (14821), into two cases.
% 108.83/58.04 |-Branch one:
% 108.83/58.04 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Applying alpha-rule on (14822) yields:
% 108.83/58.04 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.04 | (1039) ~ (all_0_12_12 = e3)
% 108.83/58.04 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Combining equations (1565,3903) yields a new equation:
% 108.83/58.04 | (3913) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | Simplifying 3913 yields:
% 108.83/58.04 | (1191) all_0_18_18 = e2
% 108.83/58.04 |
% 108.83/58.04 | From (1191) and (1567) follows:
% 108.83/58.04 | (3915) op(e2, e4) = all_0_12_12
% 108.83/58.04 |
% 108.83/58.04 | Instantiating formula (29) with e2, e4, e3, all_0_12_12 and discharging atoms op(e2, e4) = all_0_12_12, op(e2, e4) = e3, yields:
% 108.83/58.05 | (1044) all_0_12_12 = e3
% 108.83/58.05 |
% 108.83/58.05 | Equations (1044) can reduce 1039 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (2052) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)
% 108.83/58.05 |
% 108.83/58.05 | Applying alpha-rule on (2052) yields:
% 108.83/58.05 | (1565) all_0_13_13 = all_0_18_18
% 108.83/58.05 | (638) ~ (all_0_18_18 = e2)
% 108.83/58.05 |
% 108.83/58.05 | Combining equations (1565,3903) yields a new equation:
% 108.83/58.05 | (3913) all_0_18_18 = e2
% 108.83/58.05 |
% 108.83/58.05 | Simplifying 3913 yields:
% 108.83/58.05 | (1191) all_0_18_18 = e2
% 108.83/58.05 |
% 108.83/58.05 | Equations (1191) can reduce 638 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.83/58.05 |
% 108.83/58.05 | Applying alpha-rule on (14837) yields:
% 108.83/58.05 | (1799) all_0_14_14 = all_0_30_30
% 108.83/58.05 | (650) ~ (all_0_30_30 = e0)
% 108.83/58.05 |
% 108.83/58.05 | Equations (646) can reduce 650 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (638) ~ (all_0_18_18 = e2)
% 108.83/58.05 | (1163) all_0_19_19 = e2
% 108.83/58.05 |
% 108.83/58.05 | Combining equations (1163,1159) yields a new equation:
% 108.83/58.05 | (615) e3 = e2
% 108.83/58.05 |
% 108.83/58.05 | Equations (615) can reduce 52 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (14837) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 108.83/58.05 |
% 108.83/58.05 | Applying alpha-rule on (14837) yields:
% 108.83/58.05 | (1799) all_0_14_14 = all_0_30_30
% 108.83/58.05 | (650) ~ (all_0_30_30 = e0)
% 108.83/58.05 |
% 108.83/58.05 | Equations (646) can reduce 650 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (1150) ~ (all_0_19_19 = e3)
% 108.83/58.05 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 108.83/58.05 |
% 108.83/58.05 +-Applying beta-rule and splitting (2555), into two cases.
% 108.83/58.05 |-Branch one:
% 108.83/58.05 | (2571) all_0_34_34 = e3
% 108.83/58.05 |
% 108.83/58.05 | Equations (2571) can reduce 583 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (583) ~ (all_0_34_34 = e3)
% 108.83/58.05 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 108.83/58.05 |
% 108.83/58.05 +-Applying beta-rule and splitting (2574), into two cases.
% 108.83/58.05 |-Branch one:
% 108.83/58.05 | (2551) all_0_34_34 = e2
% 108.83/58.05 |
% 108.83/58.05 | Equations (2551) can reduce 295 to:
% 108.83/58.05 | (706) ~ (all_0_19_19 = e2)
% 108.83/58.05 |
% 108.83/58.05 | Equations (2551) can reduce 2554 to:
% 108.83/58.05 | (482) ~ (e4 = e2)
% 108.83/58.05 |
% 108.83/58.05 | Simplifying 482 yields:
% 108.83/58.05 | (21) ~ (e4 = e2)
% 108.83/58.05 |
% 108.83/58.05 | Equations (2551) can reduce 421 to:
% 108.83/58.05 | (310) ~ (e2 = e1)
% 108.83/58.05 |
% 108.83/58.05 | Equations (2551) can reduce 495 to:
% 108.83/58.05 | (336) ~ (e2 = e0)
% 108.83/58.05 |
% 108.83/58.05 +-Applying beta-rule and splitting (160), into two cases.
% 108.83/58.05 |-Branch one:
% 108.83/58.05 | (711) all_0_15_15 = e2
% 108.83/58.05 |
% 108.83/58.05 | Combining equations (711,969) yields a new equation:
% 108.83/58.05 | (620) e2 = e1
% 108.83/58.05 |
% 108.83/58.05 | Simplifying 620 yields:
% 108.83/58.05 | (621) e2 = e1
% 108.83/58.05 |
% 108.83/58.05 | Equations (621) can reduce 310 to:
% 108.83/58.05 | (400) $false
% 108.83/58.05 |
% 108.83/58.05 |-The branch is then unsatisfiable
% 108.83/58.05 |-Branch two:
% 108.83/58.05 | (769) ~ (all_0_15_15 = e2)
% 108.83/58.05 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 108.83/58.05 |
% 108.83/58.05 +-Applying beta-rule and splitting (4541), into two cases.
% 108.83/58.05 |-Branch one:
% 108.83/58.05 | (936) all_0_37_37 = e3
% 108.83/58.05 |
% 109.03/58.05 | Combining equations (847,936) yields a new equation:
% 109.03/58.05 | (596) e4 = e3
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 596 yields:
% 109.03/58.05 | (597) e4 = e3
% 109.03/58.05 |
% 109.03/58.05 | Equations (597) can reduce 255 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (1127) ~ (all_0_37_37 = e3)
% 109.03/58.05 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (1235), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (1236) all_0_16_16 = e2
% 109.03/58.05 |
% 109.03/58.05 | Combining equations (454,1236) yields a new equation:
% 109.03/58.05 | (1531) e4 = e2
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 1531 yields:
% 109.03/58.05 | (798) e4 = e2
% 109.03/58.05 |
% 109.03/58.05 | Equations (798) can reduce 21 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (1239) ~ (all_0_16_16 = e2)
% 109.03/58.05 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (1240), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (1177) all_0_17_17 = e2
% 109.03/58.05 |
% 109.03/58.05 | Combining equations (1177,1184) yields a new equation:
% 109.03/58.05 | (524) e2 = e0
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 524 yields:
% 109.03/58.05 | (525) e2 = e0
% 109.03/58.05 |
% 109.03/58.05 | Equations (525) can reduce 336 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (396) ~ (all_0_17_17 = e2)
% 109.03/58.05 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (1244), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (1191) all_0_18_18 = e2
% 109.03/58.05 |
% 109.03/58.05 | Equations (1191) can reduce 38 to:
% 109.03/58.05 | (2727) ~ (all_0_38_38 = e2)
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 2727 yields:
% 109.03/58.05 | (2728) ~ (all_0_38_38 = e2)
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (197), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (679) ~ (all_0_15_15 = e1)
% 109.03/58.05 |
% 109.03/58.05 | Equations (969) can reduce 679 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (969) all_0_15_15 = e1
% 109.03/58.05 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (4729), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (3208) all_0_38_38 = e3
% 109.03/58.05 |
% 109.03/58.05 | Equations (3208) can reduce 1835 to:
% 109.03/58.05 | (558) ~ (e4 = e3)
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 558 yields:
% 109.03/58.05 | (255) ~ (e4 = e3)
% 109.03/58.05 |
% 109.03/58.05 | Equations (3208) can reduce 2728 to:
% 109.03/58.05 | (52) ~ (e3 = e2)
% 109.03/58.05 |
% 109.03/58.05 | Equations (3208) can reduce 438 to:
% 109.03/58.05 | (298) ~ (e3 = e1)
% 109.03/58.05 |
% 109.03/58.05 | Equations (3208) can reduce 540 to:
% 109.03/58.05 | (80) ~ (e3 = e0)
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (198), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (1297) all_0_15_15 = e3
% 109.03/58.05 |
% 109.03/58.05 | Combining equations (1297,969) yields a new equation:
% 109.03/58.05 | (1113) e3 = e1
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 1113 yields:
% 109.03/58.05 | (928) e3 = e1
% 109.03/58.05 |
% 109.03/58.05 | Equations (928) can reduce 298 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (572) ~ (all_0_15_15 = e3)
% 109.03/58.05 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.03/58.05 |
% 109.03/58.05 | Equations (969) can reduce 572 to:
% 109.03/58.05 | (824) ~ (e3 = e1)
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 824 yields:
% 109.03/58.05 | (298) ~ (e3 = e1)
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (117), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (696) ~ (all_0_39_39 = e1)
% 109.03/58.05 |
% 109.03/58.05 | Equations (1252) can reduce 696 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (1252) all_0_39_39 = e1
% 109.03/58.05 | (17438) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 109.03/58.05 |
% 109.03/58.05 +-Applying beta-rule and splitting (4772), into two cases.
% 109.03/58.05 |-Branch one:
% 109.03/58.05 | (4773) all_0_24_24 = e3
% 109.03/58.05 |
% 109.03/58.05 | Combining equations (4773,488) yields a new equation:
% 109.03/58.05 | (647) e3 = e0
% 109.03/58.05 |
% 109.03/58.05 | Simplifying 647 yields:
% 109.03/58.05 | (648) e3 = e0
% 109.03/58.05 |
% 109.03/58.05 | Equations (648) can reduce 80 to:
% 109.03/58.05 | (400) $false
% 109.03/58.05 |
% 109.03/58.05 |-The branch is then unsatisfiable
% 109.03/58.05 |-Branch two:
% 109.03/58.05 | (1379) ~ (all_0_24_24 = e3)
% 109.03/58.05 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 109.03/58.05 |
% 109.03/58.06 +-Applying beta-rule and splitting (4777), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (3056) all_0_29_29 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (941,3056) yields a new equation:
% 109.03/58.06 | (596) e4 = e3
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 596 yields:
% 109.03/58.06 | (597) e4 = e3
% 109.03/58.06 |
% 109.03/58.06 | Equations (597) can reduce 255 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (3115) ~ (all_0_29_29 = e3)
% 109.03/58.06 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (4794), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (2571) all_0_34_34 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (2551,2571) yields a new equation:
% 109.03/58.06 | (615) e3 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (615) can reduce 52 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (583) ~ (all_0_34_34 = e3)
% 109.03/58.06 | (701) all_0_39_39 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (1252,701) yields a new equation:
% 109.03/58.06 | (928) e3 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (928) can reduce 298 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (3095) ~ (all_0_38_38 = e3)
% 109.03/58.06 | (701) all_0_39_39 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (701,1252) yields a new equation:
% 109.03/58.06 | (1113) e3 = e1
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 1113 yields:
% 109.03/58.06 | (928) e3 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (928) can reduce 298 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (638) ~ (all_0_18_18 = e2)
% 109.03/58.06 | (1163) all_0_19_19 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (1163) can reduce 706 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (4340) ~ (all_0_34_34 = e2)
% 109.03/58.06 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (4341), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (4342) all_0_34_34 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (4342) can reduce 421 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (421) ~ (all_0_34_34 = e1)
% 109.03/58.06 | (4345) all_0_34_34 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (4345) can reduce 495 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (579) ~ (all_0_32_32 = e3)
% 109.03/58.06 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (632), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (625) all_0_32_32 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (625) can reduce 448 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (448) ~ (all_0_32_32 = e2)
% 109.03/58.06 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (636), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1108) all_0_32_32 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (1108) can reduce 419 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (419) ~ (all_0_32_32 = e1)
% 109.03/58.06 | (658) all_0_32_32 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (658) can reduce 889 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (719) ~ (all_0_35_35 = e2)
% 109.03/58.06 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (121), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (732) all_0_35_35 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (732) can reduce 719 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (719) ~ (all_0_35_35 = e2)
% 109.03/58.06 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (1477), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1478) all_0_36_36 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (1478,534) yields a new equation:
% 109.03/58.06 | (524) e2 = e0
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 524 yields:
% 109.03/58.06 | (525) e2 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (525) can reduce 336 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (481) ~ (all_0_36_36 = e2)
% 109.03/58.06 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (920), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (921) all_0_22_22 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (442,921) yields a new equation:
% 109.03/58.06 | (615) e3 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (615) can reduce 52 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (925) ~ (all_0_22_22 = e3)
% 109.03/58.06 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (926), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (808) all_0_27_27 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (816,808) yields a new equation:
% 109.03/58.06 | (928) e3 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (928) can reduce 298 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (573) ~ (all_0_27_27 = e3)
% 109.03/58.06 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (931), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (629) all_0_32_32 = e3
% 109.03/58.06 |
% 109.03/58.06 | Equations (629) can reduce 448 to:
% 109.03/58.06 | (52) ~ (e3 = e2)
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (5510), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1125) all_0_28_28 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (1125) can reduce 207 to:
% 109.03/58.06 | (539) ~ (all_0_38_38 = e0)
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 539 yields:
% 109.03/58.06 | (540) ~ (all_0_38_38 = e0)
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (1482), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1129) all_0_37_37 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (847,1129) yields a new equation:
% 109.03/58.06 | (1531) e4 = e2
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 1531 yields:
% 109.03/58.06 | (798) e4 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (798) can reduce 21 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (450) ~ (all_0_37_37 = e2)
% 109.03/58.06 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (4528), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (3218) all_0_38_38 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (3218) can reduce 210 to:
% 109.03/58.06 | (719) ~ (all_0_35_35 = e2)
% 109.03/58.06 |
% 109.03/58.06 | Equations (3218) can reduce 1835 to:
% 109.03/58.06 | (482) ~ (e4 = e2)
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 482 yields:
% 109.03/58.06 | (21) ~ (e4 = e2)
% 109.03/58.06 |
% 109.03/58.06 | Equations (3218) can reduce 438 to:
% 109.03/58.06 | (310) ~ (e2 = e1)
% 109.03/58.06 |
% 109.03/58.06 | Equations (3218) can reduce 540 to:
% 109.03/58.06 | (336) ~ (e2 = e0)
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (160), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (711) all_0_15_15 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (969,711) yields a new equation:
% 109.03/58.06 | (621) e2 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (621) can reduce 310 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (769) ~ (all_0_15_15 = e2)
% 109.03/58.06 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (969) can reduce 769 to:
% 109.03/58.06 | (766) ~ (e2 = e1)
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 766 yields:
% 109.03/58.06 | (310) ~ (e2 = e1)
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (179), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (711) all_0_15_15 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (969,711) yields a new equation:
% 109.03/58.06 | (621) e2 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (621) can reduce 310 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (769) ~ (all_0_15_15 = e2)
% 109.03/58.06 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (1529), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1530) all_0_20_20 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (500,1530) yields a new equation:
% 109.03/58.06 | (1531) e4 = e2
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 1531 yields:
% 109.03/58.06 | (798) e4 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (798) can reduce 21 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (444) ~ (all_0_20_20 = e2)
% 109.03/58.06 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (1535), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1536) all_0_25_25 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (1536,1698) yields a new equation:
% 109.03/58.06 | (615) e3 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (615) can reduce 52 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (473) ~ (all_0_25_25 = e2)
% 109.03/58.06 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (1539), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (613) all_0_30_30 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (646,613) yields a new equation:
% 109.03/58.06 | (525) e2 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (525) can reduce 336 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (617) ~ (all_0_30_30 = e2)
% 109.03/58.06 | (732) all_0_35_35 = e2
% 109.03/58.06 |
% 109.03/58.06 | Equations (732) can reduce 719 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (2728) ~ (all_0_38_38 = e2)
% 109.03/58.06 | (705) all_0_39_39 = e2
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (1252,705) yields a new equation:
% 109.03/58.06 | (621) e2 = e1
% 109.03/58.06 |
% 109.03/58.06 | Equations (621) can reduce 310 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (758) ~ (all_0_28_28 = e0)
% 109.03/58.06 | (5206) all_0_29_29 = e0
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (941,5206) yields a new equation:
% 109.03/58.06 | (743) e4 = e0
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 743 yields:
% 109.03/58.06 | (515) e4 = e0
% 109.03/58.06 |
% 109.03/58.06 | Equations (515) can reduce 267 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (579) ~ (all_0_32_32 = e3)
% 109.03/58.06 | (936) all_0_37_37 = e3
% 109.03/58.06 |
% 109.03/58.06 | Combining equations (847,936) yields a new equation:
% 109.03/58.06 | (596) e4 = e3
% 109.03/58.06 |
% 109.03/58.06 | Simplifying 596 yields:
% 109.03/58.06 | (597) e4 = e3
% 109.03/58.06 |
% 109.03/58.06 | Equations (597) can reduce 255 to:
% 109.03/58.06 | (400) $false
% 109.03/58.06 |
% 109.03/58.06 |-The branch is then unsatisfiable
% 109.03/58.06 |-Branch two:
% 109.03/58.06 | (577) ~ (all_0_25_25 = e3)
% 109.03/58.06 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.03/58.06 |
% 109.03/58.06 +-Applying beta-rule and splitting (57), into two cases.
% 109.03/58.06 |-Branch one:
% 109.03/58.06 | (1698) all_0_25_25 = e3
% 109.03/58.06 |
% 109.03/58.07 | Equations (1698) can reduce 577 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (577) ~ (all_0_25_25 = e3)
% 109.03/58.07 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (142), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (855) all_0_17_17 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (1184,855) yields a new equation:
% 109.03/58.07 | (648) e3 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (648) can reduce 80 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (919) ~ (all_0_17_17 = e3)
% 109.03/58.07 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (3006), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (3007) all_0_26_26 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (471,3007) yields a new equation:
% 109.03/58.07 | (615) e3 = e2
% 109.03/58.07 |
% 109.03/58.07 | Equations (615) can reduce 52 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (3010) ~ (all_0_26_26 = e3)
% 109.03/58.07 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (471) can reduce 3010 to:
% 109.03/58.07 | (643) ~ (e3 = e2)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 643 yields:
% 109.03/58.07 | (52) ~ (e3 = e2)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (93), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (749) all_0_25_25 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (749) can reduce 1054 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (1054) ~ (all_0_25_25 = e0)
% 109.03/58.07 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (3011), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (808) all_0_27_27 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (816,808) yields a new equation:
% 109.03/58.07 | (928) e3 = e1
% 109.03/58.07 |
% 109.03/58.07 | Equations (928) can reduce 298 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (573) ~ (all_0_27_27 = e3)
% 109.03/58.07 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (816) can reduce 573 to:
% 109.03/58.07 | (824) ~ (e3 = e1)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 824 yields:
% 109.03/58.07 | (298) ~ (e3 = e1)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (920), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (921) all_0_22_22 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (442,921) yields a new equation:
% 109.03/58.07 | (615) e3 = e2
% 109.03/58.07 |
% 109.03/58.07 | Equations (615) can reduce 52 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (925) ~ (all_0_22_22 = e3)
% 109.03/58.07 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (926), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (808) all_0_27_27 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (816,808) yields a new equation:
% 109.03/58.07 | (928) e3 = e1
% 109.03/58.07 |
% 109.03/58.07 | Equations (928) can reduce 298 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (573) ~ (all_0_27_27 = e3)
% 109.03/58.07 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (931), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (629) all_0_32_32 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (629) can reduce 604 to:
% 109.03/58.07 | (558) ~ (e4 = e3)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 558 yields:
% 109.03/58.07 | (255) ~ (e4 = e3)
% 109.03/58.07 |
% 109.03/58.07 | Equations (629) can reduce 889 to:
% 109.03/58.07 | (80) ~ (e3 = e0)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (3016), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (1106) all_0_28_28 = e3
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (5498), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (523) all_0_26_26 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (523,471) yields a new equation:
% 109.03/58.07 | (525) e2 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (525) can reduce 336 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (527) ~ (all_0_26_26 = e0)
% 109.03/58.07 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (5504), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (995) all_0_27_27 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (816,995) yields a new equation:
% 109.03/58.07 | (530) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 530 yields:
% 109.03/58.07 | (531) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (531) can reduce 40 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (660) ~ (all_0_27_27 = e0)
% 109.03/58.07 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (5510), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (1125) all_0_28_28 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (1106,1125) yields a new equation:
% 109.03/58.07 | (647) e3 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 647 yields:
% 109.03/58.07 | (648) e3 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (648) can reduce 80 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (758) ~ (all_0_28_28 = e0)
% 109.03/58.07 | (5206) all_0_29_29 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (941,5206) yields a new equation:
% 109.03/58.07 | (743) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 743 yields:
% 109.03/58.07 | (515) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (515) can reduce 267 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (893) ~ (all_0_28_28 = e3)
% 109.03/58.07 | (3056) all_0_29_29 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (941,3056) yields a new equation:
% 109.03/58.07 | (596) e4 = e3
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 596 yields:
% 109.03/58.07 | (597) e4 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (597) can reduce 255 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (579) ~ (all_0_32_32 = e3)
% 109.03/58.07 | (936) all_0_37_37 = e3
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (847,936) yields a new equation:
% 109.03/58.07 | (596) e4 = e3
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 596 yields:
% 109.03/58.07 | (597) e4 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (597) can reduce 255 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (659) ~ (all_0_17_17 = e0)
% 109.03/58.07 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (4262), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (4273) all_0_22_22 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (4273,442) yields a new equation:
% 109.03/58.07 | (525) e2 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (525) can reduce 336 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (4277) ~ (all_0_22_22 = e0)
% 109.03/58.07 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (4278), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (995) all_0_27_27 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (816,995) yields a new equation:
% 109.03/58.07 | (530) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 530 yields:
% 109.03/58.07 | (531) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (531) can reduce 40 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (660) ~ (all_0_27_27 = e0)
% 109.03/58.07 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (4292), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (658) all_0_32_32 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (658) can reduce 889 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (889) ~ (all_0_32_32 = e0)
% 109.03/58.07 | (1136) all_0_37_37 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (847,1136) yields a new equation:
% 109.03/58.07 | (743) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 743 yields:
% 109.03/58.07 | (515) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (515) can reduce 267 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (650) ~ (all_0_30_30 = e0)
% 109.03/58.07 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (123), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (736) all_0_15_15 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (736,969) yields a new equation:
% 109.03/58.07 | (531) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (531) can reduce 40 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (739) ~ (all_0_15_15 = e0)
% 109.03/58.07 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (969) can reduce 739 to:
% 109.03/58.07 | (40) ~ (e1 = e0)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (6692), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (575) all_0_30_30 = e3
% 109.03/58.07 |
% 109.03/58.07 | Equations (575) can reduce 1800 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (1800) ~ (all_0_30_30 = e3)
% 109.03/58.07 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (651), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (529) all_0_31_31 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (414,529) yields a new equation:
% 109.03/58.07 | (530) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 530 yields:
% 109.03/58.07 | (531) e1 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (531) can reduce 40 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (533) ~ (all_0_31_31 = e0)
% 109.03/58.07 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (11175), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (613) all_0_30_30 = e2
% 109.03/58.07 |
% 109.03/58.07 | Equations (613) can reduce 202 to:
% 109.03/58.07 | (11182) ~ (all_0_34_34 = e2)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 11182 yields:
% 109.03/58.07 | (4340) ~ (all_0_34_34 = e2)
% 109.03/58.07 |
% 109.03/58.07 | Equations (613) can reduce 15 to:
% 109.03/58.07 | (718) ~ (all_0_35_35 = e2)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 718 yields:
% 109.03/58.07 | (719) ~ (all_0_35_35 = e2)
% 109.03/58.07 |
% 109.03/58.07 | Equations (613) can reduce 650 to:
% 109.03/58.07 | (336) ~ (e2 = e0)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (740), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (742) all_0_20_20 = e0
% 109.03/58.07 |
% 109.03/58.07 | Combining equations (500,742) yields a new equation:
% 109.03/58.07 | (743) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 743 yields:
% 109.03/58.07 | (515) e4 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (515) can reduce 267 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.07 | (490) ~ (all_0_20_20 = e0)
% 109.03/58.07 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (747), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (749) all_0_25_25 = e0
% 109.03/58.07 |
% 109.03/58.07 | Equations (749) can reduce 185 to:
% 109.03/58.07 | (757) ~ (all_0_28_28 = e0)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 757 yields:
% 109.03/58.07 | (758) ~ (all_0_28_28 = e0)
% 109.03/58.07 |
% 109.03/58.07 | Equations (749) can reduce 194 to:
% 109.03/58.07 | (752) ~ (all_0_35_35 = e0)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 752 yields:
% 109.03/58.07 | (536) ~ (all_0_35_35 = e0)
% 109.03/58.07 |
% 109.03/58.07 | Equations (749) can reduce 505 to:
% 109.03/58.07 | (543) ~ (e4 = e0)
% 109.03/58.07 |
% 109.03/58.07 | Simplifying 543 yields:
% 109.03/58.07 | (267) ~ (e4 = e0)
% 109.03/58.07 |
% 109.03/58.07 +-Applying beta-rule and splitting (86), into two cases.
% 109.03/58.07 |-Branch one:
% 109.03/58.07 | (854) all_0_28_28 = e4
% 109.03/58.07 |
% 109.03/58.07 | Equations (854) can reduce 883 to:
% 109.03/58.07 | (400) $false
% 109.03/58.07 |
% 109.03/58.07 |-The branch is then unsatisfiable
% 109.03/58.07 |-Branch two:
% 109.03/58.08 | (883) ~ (all_0_28_28 = e4)
% 109.03/58.08 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (1021), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (1106) all_0_28_28 = e3
% 109.03/58.08 |
% 109.03/58.08 | Equations (1106) can reduce 207 to:
% 109.03/58.08 | (3094) ~ (all_0_38_38 = e3)
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 3094 yields:
% 109.03/58.08 | (3095) ~ (all_0_38_38 = e3)
% 109.03/58.08 |
% 109.03/58.08 | Equations (1106) can reduce 883 to:
% 109.03/58.08 | (558) ~ (e4 = e3)
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 558 yields:
% 109.03/58.08 | (255) ~ (e4 = e3)
% 109.03/58.08 |
% 109.03/58.08 | Equations (1106) can reduce 434 to:
% 109.03/58.08 | (298) ~ (e3 = e1)
% 109.03/58.08 |
% 109.03/58.08 | Equations (1106) can reduce 758 to:
% 109.03/58.08 | (80) ~ (e3 = e0)
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (77), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (594) ~ (all_0_33_33 = e4)
% 109.03/58.08 |
% 109.03/58.08 | Equations (1322) can reduce 594 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (1322) all_0_33_33 = e4
% 109.03/58.08 | (4458) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (254), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (728) all_0_35_35 = e3
% 109.03/58.08 |
% 109.03/58.08 | From (728) and (89) follows:
% 109.03/58.08 | (7494) op(e0, e4) = e3
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (340), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (756) all_0_18_18 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (204), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (679) ~ (all_0_15_15 = e1)
% 109.03/58.08 |
% 109.03/58.08 | Equations (969) can reduce 679 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (969) all_0_15_15 = e1
% 109.03/58.08 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (16711), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (16712) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0))
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (16712), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (14822) all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12
% 109.03/58.08 |
% 109.03/58.08 | Applying alpha-rule on (14822) yields:
% 109.03/58.08 | (1565) all_0_13_13 = all_0_18_18
% 109.03/58.08 | (1039) ~ (all_0_12_12 = e3)
% 109.03/58.08 | (1567) op(all_0_18_18, e4) = all_0_12_12
% 109.03/58.08 |
% 109.03/58.08 | From (756) and (1567) follows:
% 109.03/58.08 | (1789) op(e0, e4) = all_0_12_12
% 109.03/58.08 |
% 109.03/58.08 | Instantiating formula (29) with e0, e4, e3, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e3, yields:
% 109.03/58.08 | (1044) all_0_12_12 = e3
% 109.03/58.08 |
% 109.03/58.08 | Equations (1044) can reduce 1039 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (1792) all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Applying alpha-rule on (1792) yields:
% 109.03/58.08 | (1565) all_0_13_13 = all_0_18_18
% 109.03/58.08 | (1141) ~ (all_0_18_18 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Equations (756) can reduce 1141 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (16767) all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 109.03/58.08 |
% 109.03/58.08 | Applying alpha-rule on (16767) yields:
% 109.03/58.08 | (1799) all_0_14_14 = all_0_30_30
% 109.03/58.08 | (617) ~ (all_0_30_30 = e2)
% 109.03/58.08 |
% 109.03/58.08 | Equations (613) can reduce 617 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (1141) ~ (all_0_18_18 = e0)
% 109.03/58.08 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (657), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (658) all_0_32_32 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (658) can reduce 242 to:
% 109.03/58.08 | (659) ~ (all_0_17_17 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Equations (658) can reduce 604 to:
% 109.03/58.08 | (543) ~ (e4 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 543 yields:
% 109.03/58.08 | (267) ~ (e4 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Equations (658) can reduce 419 to:
% 109.03/58.08 | (498) ~ (e1 = e0)
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 498 yields:
% 109.03/58.08 | (40) ~ (e1 = e0)
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (204), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (679) ~ (all_0_15_15 = e1)
% 109.03/58.08 |
% 109.03/58.08 | Equations (969) can reduce 679 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (969) all_0_15_15 = e1
% 109.03/58.08 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (92), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (736) all_0_15_15 = e0
% 109.03/58.08 |
% 109.03/58.08 | Combining equations (736,969) yields a new equation:
% 109.03/58.08 | (531) e1 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (531) can reduce 40 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (739) ~ (all_0_15_15 = e0)
% 109.03/58.08 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (1207), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (514) all_0_16_16 = e0
% 109.03/58.08 |
% 109.03/58.08 | Combining equations (454,514) yields a new equation:
% 109.03/58.08 | (743) e4 = e0
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 743 yields:
% 109.03/58.08 | (515) e4 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (515) can reduce 267 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (517) ~ (all_0_16_16 = e0)
% 109.03/58.08 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (1212), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (1184) all_0_17_17 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (1184) can reduce 659 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (659) ~ (all_0_17_17 = e0)
% 109.03/58.08 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (1216), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (756) all_0_18_18 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (756) can reduce 1141 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (1141) ~ (all_0_18_18 = e0)
% 109.03/58.08 | (1187) all_0_19_19 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (1187) can reduce 489 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (889) ~ (all_0_32_32 = e0)
% 109.03/58.08 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (263), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (601) all_0_34_34 = e4
% 109.03/58.08 |
% 109.03/58.08 | Equations (601) can reduce 2554 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (2554) ~ (all_0_34_34 = e4)
% 109.03/58.08 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (2555), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (2571) all_0_34_34 = e3
% 109.03/58.08 |
% 109.03/58.08 | Equations (2571) can reduce 495 to:
% 109.03/58.08 | (80) ~ (e3 = e0)
% 109.03/58.08 |
% 109.03/58.08 +-Applying beta-rule and splitting (2544), into two cases.
% 109.03/58.08 |-Branch one:
% 109.03/58.08 | (1463) all_0_33_33 = e0
% 109.03/58.08 |
% 109.03/58.08 | Combining equations (1463,1322) yields a new equation:
% 109.03/58.08 | (515) e4 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (515) can reduce 267 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.08 |-Branch two:
% 109.03/58.08 | (2612) ~ (all_0_33_33 = e0)
% 109.03/58.08 | (4345) all_0_34_34 = e0
% 109.03/58.08 |
% 109.03/58.08 | Combining equations (2571,4345) yields a new equation:
% 109.03/58.08 | (647) e3 = e0
% 109.03/58.08 |
% 109.03/58.08 | Simplifying 647 yields:
% 109.03/58.08 | (648) e3 = e0
% 109.03/58.08 |
% 109.03/58.08 | Equations (648) can reduce 80 to:
% 109.03/58.08 | (400) $false
% 109.03/58.08 |
% 109.03/58.08 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (583) ~ (all_0_34_34 = e3)
% 109.03/58.09 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (2574), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (2551) all_0_34_34 = e2
% 109.03/58.09 |
% 109.03/58.09 | Equations (2551) can reduce 4340 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (4340) ~ (all_0_34_34 = e2)
% 109.03/58.09 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (4341), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (4342) all_0_34_34 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (4342) can reduce 421 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (421) ~ (all_0_34_34 = e1)
% 109.03/58.09 | (4345) all_0_34_34 = e0
% 109.03/58.09 |
% 109.03/58.09 | Equations (4345) can reduce 495 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (585) ~ (all_0_35_35 = e3)
% 109.03/58.09 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (4535), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (4536) all_0_36_36 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (534,4536) yields a new equation:
% 109.03/58.09 | (648) e3 = e0
% 109.03/58.09 |
% 109.03/58.09 | Equations (648) can reduce 80 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (4540) ~ (all_0_36_36 = e3)
% 109.03/58.09 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (198), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (1297) all_0_15_15 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (1297,969) yields a new equation:
% 109.03/58.09 | (1113) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 1113 yields:
% 109.03/58.09 | (928) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (928) can reduce 298 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (572) ~ (all_0_15_15 = e3)
% 109.03/58.09 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (969) can reduce 572 to:
% 109.03/58.09 | (824) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 824 yields:
% 109.03/58.09 | (298) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (4541), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (936) all_0_37_37 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (936,847) yields a new equation:
% 109.03/58.09 | (597) e4 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (597) can reduce 255 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (1127) ~ (all_0_37_37 = e3)
% 109.03/58.09 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (4729), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (3208) all_0_38_38 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (3208) can reduce 3095 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (3095) ~ (all_0_38_38 = e3)
% 109.03/58.09 | (701) all_0_39_39 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (701,1252) yields a new equation:
% 109.03/58.09 | (1113) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 1113 yields:
% 109.03/58.09 | (928) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (928) can reduce 298 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (893) ~ (all_0_28_28 = e3)
% 109.03/58.09 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (6683), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (6785) all_0_20_20 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (500,6785) yields a new equation:
% 109.03/58.09 | (596) e4 = e3
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 596 yields:
% 109.03/58.09 | (597) e4 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (597) can reduce 255 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (1306) ~ (all_0_20_20 = e3)
% 109.03/58.09 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (263), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (601) all_0_34_34 = e4
% 109.03/58.09 |
% 109.03/58.09 | Equations (601) can reduce 2554 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (2554) ~ (all_0_34_34 = e4)
% 109.03/58.09 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (2555), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (2571) all_0_34_34 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (2571) can reduce 295 to:
% 109.03/58.09 | (1150) ~ (all_0_19_19 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (2571) can reduce 132 to:
% 109.03/58.09 | (579) ~ (all_0_32_32 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (2571) can reduce 2554 to:
% 109.03/58.09 | (558) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 558 yields:
% 109.03/58.09 | (255) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (2571) can reduce 421 to:
% 109.03/58.09 | (298) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 | Equations (2571) can reduce 495 to:
% 109.03/58.09 | (80) ~ (e3 = e0)
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (727), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (728) all_0_35_35 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (728) can reduce 509 to:
% 109.03/58.09 | (558) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 558 yields:
% 109.03/58.09 | (255) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (728) can reduce 719 to:
% 109.03/58.09 | (52) ~ (e3 = e2)
% 109.03/58.09 |
% 109.03/58.09 | Equations (728) can reduce 1138 to:
% 109.03/58.09 | (298) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 | Equations (728) can reduce 536 to:
% 109.03/58.09 | (80) ~ (e3 = e0)
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (102), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (1147) all_0_18_18 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (1147) can reduce 9 to:
% 109.03/58.09 | (919) ~ (all_0_17_17 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (1147) can reduce 458 to:
% 109.03/58.09 | (558) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 558 yields:
% 109.03/58.09 | (255) ~ (e4 = e3)
% 109.03/58.09 |
% 109.03/58.09 | Equations (1147) can reduce 428 to:
% 109.03/58.09 | (298) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (142), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (855) all_0_17_17 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (855) can reduce 919 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (919) ~ (all_0_17_17 = e3)
% 109.03/58.09 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (920), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (921) all_0_22_22 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (442,921) yields a new equation:
% 109.03/58.09 | (615) e3 = e2
% 109.03/58.09 |
% 109.03/58.09 | Equations (615) can reduce 52 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (925) ~ (all_0_22_22 = e3)
% 109.03/58.09 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (926), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (808) all_0_27_27 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (816,808) yields a new equation:
% 109.03/58.09 | (928) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (928) can reduce 298 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (573) ~ (all_0_27_27 = e3)
% 109.03/58.09 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (931), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (629) all_0_32_32 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (629) can reduce 579 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (579) ~ (all_0_32_32 = e3)
% 109.03/58.09 | (936) all_0_37_37 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (936,847) yields a new equation:
% 109.03/58.09 | (597) e4 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (597) can reduce 255 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (1189) ~ (all_0_18_18 = e3)
% 109.03/58.09 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (1742), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (3107) all_0_23_23 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (427,3107) yields a new equation:
% 109.03/58.09 | (928) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (928) can reduce 298 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (1361) ~ (all_0_23_23 = e3)
% 109.03/58.09 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (427) can reduce 1361 to:
% 109.03/58.09 | (824) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 824 yields:
% 109.03/58.09 | (298) ~ (e3 = e1)
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (57), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (1698) all_0_25_25 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (1698,749) yields a new equation:
% 109.03/58.09 | (647) e3 = e0
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 647 yields:
% 109.03/58.09 | (648) e3 = e0
% 109.03/58.09 |
% 109.03/58.09 | Equations (648) can reduce 80 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (577) ~ (all_0_25_25 = e3)
% 109.03/58.09 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (3006), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (3007) all_0_26_26 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (3007,471) yields a new equation:
% 109.03/58.09 | (614) e3 = e2
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 614 yields:
% 109.03/58.09 | (615) e3 = e2
% 109.03/58.09 |
% 109.03/58.09 | Equations (615) can reduce 52 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (3010) ~ (all_0_26_26 = e3)
% 109.03/58.09 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (169), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (857) ~ (all_0_27_27 = e1)
% 109.03/58.09 |
% 109.03/58.09 | Equations (816) can reduce 857 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (816) all_0_27_27 = e1
% 109.03/58.09 | (864) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (3011), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (808) all_0_27_27 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (816,808) yields a new equation:
% 109.03/58.09 | (928) e3 = e1
% 109.03/58.09 |
% 109.03/58.09 | Equations (928) can reduce 298 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (573) ~ (all_0_27_27 = e3)
% 109.03/58.09 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.03/58.09 |
% 109.03/58.09 +-Applying beta-rule and splitting (3016), into two cases.
% 109.03/58.09 |-Branch one:
% 109.03/58.09 | (1106) all_0_28_28 = e3
% 109.03/58.09 |
% 109.03/58.09 | Equations (1106) can reduce 893 to:
% 109.03/58.09 | (400) $false
% 109.03/58.09 |
% 109.03/58.09 |-The branch is then unsatisfiable
% 109.03/58.09 |-Branch two:
% 109.03/58.09 | (893) ~ (all_0_28_28 = e3)
% 109.03/58.09 | (3056) all_0_29_29 = e3
% 109.03/58.09 |
% 109.03/58.09 | Combining equations (941,3056) yields a new equation:
% 109.03/58.09 | (596) e4 = e3
% 109.03/58.09 |
% 109.03/58.09 | Simplifying 596 yields:
% 109.03/58.09 | (597) e4 = e3
% 109.03/58.09 |
% 109.03/58.10 | Equations (597) can reduce 255 to:
% 109.03/58.10 | (400) $false
% 109.03/58.10 |
% 109.03/58.10 |-The branch is then unsatisfiable
% 109.03/58.10 |-Branch two:
% 109.03/58.10 | (585) ~ (all_0_35_35 = e3)
% 109.03/58.10 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.03/58.10 |
% 109.03/58.10 +-Applying beta-rule and splitting (142), into two cases.
% 109.03/58.10 |-Branch one:
% 109.03/58.10 | (855) all_0_17_17 = e3
% 109.03/58.10 |
% 109.03/58.10 | Equations (855) can reduce 396 to:
% 109.03/58.10 | (52) ~ (e3 = e2)
% 109.03/58.10 |
% 109.03/58.10 +-Applying beta-rule and splitting (254), into two cases.
% 109.03/58.10 |-Branch one:
% 109.03/58.10 | (728) all_0_35_35 = e3
% 109.03/58.10 |
% 109.03/58.10 | Equations (728) can reduce 585 to:
% 109.03/58.10 | (400) $false
% 109.03/58.10 |
% 109.03/58.10 |-The branch is then unsatisfiable
% 109.03/58.10 |-Branch two:
% 109.03/58.10 | (585) ~ (all_0_35_35 = e3)
% 109.03/58.10 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.03/58.10 |
% 109.03/58.10 +-Applying beta-rule and splitting (6789), into two cases.
% 109.03/58.10 |-Branch one:
% 109.03/58.10 | (1698) all_0_25_25 = e3
% 109.03/58.10 |
% 109.03/58.10 | Combining equations (1698,749) yields a new equation:
% 109.03/58.10 | (647) e3 = e0
% 109.03/58.10 |
% 109.03/58.10 | Simplifying 647 yields:
% 109.03/58.10 | (648) e3 = e0
% 109.03/58.10 |
% 109.03/58.10 | Equations (648) can reduce 80 to:
% 109.03/58.10 | (400) $false
% 109.03/58.10 |
% 109.03/58.10 |-The branch is then unsatisfiable
% 109.03/58.10 |-Branch two:
% 109.03/58.10 | (577) ~ (all_0_25_25 = e3)
% 109.03/58.10 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 109.03/58.10 |
% 109.03/58.10 +-Applying beta-rule and splitting (7020), into two cases.
% 109.03/58.10 |-Branch one:
% 109.03/58.10 | (575) all_0_30_30 = e3
% 109.03/58.10 |
% 109.03/58.10 | Combining equations (613,575) yields a new equation:
% 109.03/58.10 | (615) e3 = e2
% 109.03/58.10 |
% 109.03/58.10 | Equations (615) can reduce 52 to:
% 109.03/58.10 | (400) $false
% 109.03/58.10 |
% 109.03/58.10 |-The branch is then unsatisfiable
% 109.03/58.10 |-Branch two:
% 109.03/58.10 | (1800) ~ (all_0_30_30 = e3)
% 109.03/58.10 | (728) all_0_35_35 = e3
% 109.03/58.10 |
% 109.03/58.10 | Equations (728) can reduce 585 to:
% 109.03/58.10 | (400) $false
% 109.03/58.10 |
% 109.03/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (919) ~ (all_0_17_17 = e3)
% 109.13/58.10 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (57), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1698) all_0_25_25 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (749,1698) yields a new equation:
% 109.13/58.10 | (648) e3 = e0
% 109.13/58.10 |
% 109.13/58.10 | Equations (648) can reduce 80 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (577) ~ (all_0_25_25 = e3)
% 109.13/58.10 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (749) can reduce 577 to:
% 109.13/58.10 | (665) ~ (e3 = e0)
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 665 yields:
% 109.13/58.10 | (80) ~ (e3 = e0)
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (254), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (728) all_0_35_35 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (728) can reduce 585 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (585) ~ (all_0_35_35 = e3)
% 109.13/58.10 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (4535), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (4536) all_0_36_36 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (4536,534) yields a new equation:
% 109.13/58.10 | (647) e3 = e0
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 647 yields:
% 109.13/58.10 | (648) e3 = e0
% 109.13/58.10 |
% 109.13/58.10 | Equations (648) can reduce 80 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (4540) ~ (all_0_36_36 = e3)
% 109.13/58.10 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (4541), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (936) all_0_37_37 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (847,936) yields a new equation:
% 109.13/58.10 | (596) e4 = e3
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 596 yields:
% 109.13/58.10 | (597) e4 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (597) can reduce 255 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (1127) ~ (all_0_37_37 = e3)
% 109.13/58.10 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (4729), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (3208) all_0_38_38 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (3208) can reduce 1835 to:
% 109.13/58.10 | (558) ~ (e4 = e3)
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 558 yields:
% 109.13/58.10 | (255) ~ (e4 = e3)
% 109.13/58.10 |
% 109.13/58.10 | Equations (3208) can reduce 438 to:
% 109.13/58.10 | (298) ~ (e3 = e1)
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (198), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1297) all_0_15_15 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (1297,969) yields a new equation:
% 109.13/58.10 | (1113) e3 = e1
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 1113 yields:
% 109.13/58.10 | (928) e3 = e1
% 109.13/58.10 |
% 109.13/58.10 | Equations (928) can reduce 298 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (572) ~ (all_0_15_15 = e3)
% 109.13/58.10 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (969) can reduce 572 to:
% 109.13/58.10 | (824) ~ (e3 = e1)
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 824 yields:
% 109.13/58.10 | (298) ~ (e3 = e1)
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (332), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1151) all_0_19_19 = e4
% 109.13/58.10 |
% 109.13/58.10 | Equations (1151) can reduce 460 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (460) ~ (all_0_19_19 = e4)
% 109.13/58.10 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (168), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1163) all_0_19_19 = e2
% 109.13/58.10 |
% 109.13/58.10 | Equations (1163) can reduce 1150 to:
% 109.13/58.10 | (643) ~ (e3 = e2)
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 643 yields:
% 109.13/58.10 | (52) ~ (e3 = e2)
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (2769), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (3117) all_0_16_16 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (3117,454) yields a new equation:
% 109.13/58.10 | (597) e4 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (597) can reduce 255 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (3121) ~ (all_0_16_16 = e3)
% 109.13/58.10 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (454) can reduce 3121 to:
% 109.13/58.10 | (255) ~ (e4 = e3)
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (920), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (921) all_0_22_22 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (442,921) yields a new equation:
% 109.13/58.10 | (615) e3 = e2
% 109.13/58.10 |
% 109.13/58.10 | Equations (615) can reduce 52 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (925) ~ (all_0_22_22 = e3)
% 109.13/58.10 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (926), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (808) all_0_27_27 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (816,808) yields a new equation:
% 109.13/58.10 | (928) e3 = e1
% 109.13/58.10 |
% 109.13/58.10 | Equations (928) can reduce 298 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (573) ~ (all_0_27_27 = e3)
% 109.13/58.10 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (931), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (629) all_0_32_32 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (629) can reduce 579 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (579) ~ (all_0_32_32 = e3)
% 109.13/58.10 | (936) all_0_37_37 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (847,936) yields a new equation:
% 109.13/58.10 | (596) e4 = e3
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 596 yields:
% 109.13/58.10 | (597) e4 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (597) can reduce 255 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (706) ~ (all_0_19_19 = e2)
% 109.13/58.10 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (1154), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1159) all_0_19_19 = e3
% 109.13/58.10 |
% 109.13/58.10 | Equations (1159) can reduce 1150 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (1150) ~ (all_0_19_19 = e3)
% 109.13/58.10 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (1162), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (1163) all_0_19_19 = e2
% 109.13/58.10 |
% 109.13/58.10 | Equations (1163) can reduce 706 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (706) ~ (all_0_19_19 = e2)
% 109.13/58.10 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (1166), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (829) all_0_19_19 = e1
% 109.13/58.10 |
% 109.13/58.10 | Equations (829) can reduce 943 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (943) ~ (all_0_19_19 = e1)
% 109.13/58.10 | (1187) all_0_19_19 = e0
% 109.13/58.10 |
% 109.13/58.10 | Equations (1187) can reduce 489 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (3095) ~ (all_0_38_38 = e3)
% 109.13/58.10 | (701) all_0_39_39 = e3
% 109.13/58.10 |
% 109.13/58.10 | Combining equations (701,1252) yields a new equation:
% 109.13/58.10 | (1113) e3 = e1
% 109.13/58.10 |
% 109.13/58.10 | Simplifying 1113 yields:
% 109.13/58.10 | (928) e3 = e1
% 109.13/58.10 |
% 109.13/58.10 | Equations (928) can reduce 298 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (583) ~ (all_0_34_34 = e3)
% 109.13/58.10 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (2574), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (2551) all_0_34_34 = e2
% 109.13/58.10 |
% 109.13/58.10 | Equations (2551) can reduce 4340 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (4340) ~ (all_0_34_34 = e2)
% 109.13/58.10 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.13/58.10 |
% 109.13/58.10 +-Applying beta-rule and splitting (4341), into two cases.
% 109.13/58.10 |-Branch one:
% 109.13/58.10 | (4342) all_0_34_34 = e1
% 109.13/58.10 |
% 109.13/58.10 | Equations (4342) can reduce 421 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.10 |-Branch two:
% 109.13/58.10 | (421) ~ (all_0_34_34 = e1)
% 109.13/58.10 | (4345) all_0_34_34 = e0
% 109.13/58.10 |
% 109.13/58.10 | Equations (4345) can reduce 495 to:
% 109.13/58.10 | (400) $false
% 109.13/58.10 |
% 109.13/58.10 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1054) ~ (all_0_25_25 = e0)
% 109.13/58.11 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (1201), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (646) all_0_30_30 = e0
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (613,646) yields a new equation:
% 109.13/58.11 | (524) e2 = e0
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 524 yields:
% 109.13/58.11 | (525) e2 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (525) can reduce 336 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (650) ~ (all_0_30_30 = e0)
% 109.13/58.11 | (1139) all_0_35_35 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (1139) can reduce 536 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (617) ~ (all_0_30_30 = e2)
% 109.13/58.11 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (657), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (658) all_0_32_32 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (658) can reduce 301 to:
% 109.13/58.11 | (650) ~ (all_0_30_30 = e0)
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (14452), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (1521) all_0_30_30 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (1521) can reduce 417 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (417) ~ (all_0_30_30 = e1)
% 109.13/58.11 | (646) all_0_30_30 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (646) can reduce 650 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (889) ~ (all_0_32_32 = e0)
% 109.13/58.11 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (2544), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (1463) all_0_33_33 = e0
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1322,1463) yields a new equation:
% 109.13/58.11 | (743) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 743 yields:
% 109.13/58.11 | (515) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (515) can reduce 267 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (2612) ~ (all_0_33_33 = e0)
% 109.13/58.11 | (4345) all_0_34_34 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (4345) can reduce 495 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1002) ~ (all_0_37_37 = e4)
% 109.13/58.11 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (801), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (804) all_0_27_27 = e4
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (804,816) yields a new equation:
% 109.13/58.11 | (975) e4 = e1
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 975 yields:
% 109.13/58.11 | (838) e4 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (838) can reduce 56 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (785) ~ (all_0_27_27 = e4)
% 109.13/58.11 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.13/58.11 |
% 109.13/58.11 +-Applying beta-rule and splitting (841), into two cases.
% 109.13/58.11 |-Branch one:
% 109.13/58.11 | (609) all_0_32_32 = e4
% 109.13/58.11 |
% 109.13/58.11 | Equations (609) can reduce 604 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (604) ~ (all_0_32_32 = e4)
% 109.13/58.11 | (847) all_0_37_37 = e4
% 109.13/58.11 |
% 109.13/58.11 | Equations (847) can reduce 1002 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1332) yields:
% 109.13/58.11 | (736) all_0_15_15 = e0
% 109.13/58.11 | (697) all_0_39_39 = e4
% 109.13/58.11 | (460) ~ (all_0_19_19 = e4)
% 109.13/58.11 |
% 109.13/58.11 | Equations (697) can reduce 607 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1339) yields:
% 109.13/58.11 | (736) all_0_15_15 = e0
% 109.13/58.11 | (697) all_0_39_39 = e4
% 109.13/58.11 | (536) ~ (all_0_35_35 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Equations (697) can reduce 607 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1346) yields:
% 109.13/58.11 | (1347) all_0_21_21 = e2
% 109.13/58.11 | (808) all_0_27_27 = e3
% 109.13/58.11 | (925) ~ (all_0_22_22 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1347,557) yields a new equation:
% 109.13/58.11 | (615) e3 = e2
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (816,808) yields a new equation:
% 109.13/58.11 | (928) e3 = e1
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (928,615) yields a new equation:
% 109.13/58.11 | (621) e2 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (621) can reduce 310 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1352) yields:
% 109.13/58.11 | (1347) all_0_21_21 = e2
% 109.13/58.11 | (808) all_0_27_27 = e3
% 109.13/58.11 | (1355) ~ (all_0_26_26 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1347,557) yields a new equation:
% 109.13/58.11 | (615) e3 = e2
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (816,808) yields a new equation:
% 109.13/58.11 | (928) e3 = e1
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (928,615) yields a new equation:
% 109.13/58.11 | (621) e2 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (621) can reduce 310 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1358) yields:
% 109.13/58.11 | (1359) all_0_21_21 = e1
% 109.13/58.11 | (1360) all_0_33_33 = e3
% 109.13/58.11 | (1361) ~ (all_0_23_23 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1359,557) yields a new equation:
% 109.13/58.11 | (928) e3 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (928) can reduce 298 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1367) yields:
% 109.13/58.11 | (1359) all_0_21_21 = e1
% 109.13/58.11 | (1360) all_0_33_33 = e3
% 109.13/58.11 | (1370) ~ (all_0_31_31 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1359,557) yields a new equation:
% 109.13/58.11 | (928) e3 = e1
% 109.13/58.11 |
% 109.13/58.11 | Equations (928) can reduce 298 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1376) yields:
% 109.13/58.11 | (519) all_0_21_21 = e0
% 109.13/58.11 | (701) all_0_39_39 = e3
% 109.13/58.11 | (1379) ~ (all_0_24_24 = e3)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (519,557) yields a new equation:
% 109.13/58.11 | (648) e3 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (648) can reduce 80 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1385) yields:
% 109.13/58.11 | (519) all_0_21_21 = e0
% 109.13/58.11 | (701) all_0_39_39 = e3
% 109.13/58.11 | (1388) ~ (all_0_36_36 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (519,557) yields a new equation:
% 109.13/58.11 | (648) e3 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (648) can reduce 80 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1394) yields:
% 109.13/58.11 | (816) all_0_27_27 = e1
% 109.13/58.11 | (637) all_0_33_33 = e2
% 109.13/58.11 | (477) ~ (all_0_28_28 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1322,637) yields a new equation:
% 109.13/58.11 | (1531) e4 = e2
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 1531 yields:
% 109.13/58.11 | (798) e4 = e2
% 109.13/58.11 |
% 109.13/58.11 | Equations (798) can reduce 21 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1421) yields:
% 109.13/58.11 | (816) all_0_27_27 = e1
% 109.13/58.11 | (637) all_0_33_33 = e2
% 109.13/58.11 | (419) ~ (all_0_32_32 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1322,637) yields a new equation:
% 109.13/58.11 | (1531) e4 = e2
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 1531 yields:
% 109.13/58.11 | (798) e4 = e2
% 109.13/58.11 |
% 109.13/58.11 | Equations (798) can reduce 21 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1448) yields:
% 109.13/58.11 | (995) all_0_27_27 = e0
% 109.13/58.11 | (705) all_0_39_39 = e2
% 109.13/58.11 | (479) ~ (all_0_29_29 = e2)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (995,816) yields a new equation:
% 109.13/58.11 | (531) e1 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (531) can reduce 40 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1455) yields:
% 109.13/58.11 | (995) all_0_27_27 = e0
% 109.13/58.11 | (705) all_0_39_39 = e2
% 109.13/58.11 | (538) ~ (all_0_37_37 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (995,816) yields a new equation:
% 109.13/58.11 | (531) e1 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (531) can reduce 40 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1462) yields:
% 109.13/58.11 | (1463) all_0_33_33 = e0
% 109.13/58.11 | (1252) all_0_39_39 = e1
% 109.13/58.11 | (421) ~ (all_0_34_34 = e1)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1322,1463) yields a new equation:
% 109.13/58.11 | (743) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 743 yields:
% 109.13/58.11 | (515) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (515) can reduce 267 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.11 |-Branch two:
% 109.13/58.11 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Applying alpha-rule on (1469) yields:
% 109.13/58.11 | (1463) all_0_33_33 = e0
% 109.13/58.11 | (1252) all_0_39_39 = e1
% 109.13/58.11 | (540) ~ (all_0_38_38 = e0)
% 109.13/58.11 |
% 109.13/58.11 | Combining equations (1322,1463) yields a new equation:
% 109.13/58.11 | (743) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Simplifying 743 yields:
% 109.13/58.11 | (515) e4 = e0
% 109.13/58.11 |
% 109.13/58.11 | Equations (515) can reduce 267 to:
% 109.13/58.11 | (400) $false
% 109.13/58.11 |
% 109.13/58.11 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19128) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 33 to:
% 109.13/58.12 | (1189) ~ (all_0_18_18 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 230 to:
% 109.13/58.12 | (893) ~ (all_0_28_28 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 105 to:
% 109.13/58.12 | (579) ~ (all_0_32_32 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 155 to:
% 109.13/58.12 | (582) ~ (all_0_34_34 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 582 yields:
% 109.13/58.12 | (583) ~ (all_0_34_34 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 199 to:
% 109.13/58.12 | (3094) ~ (all_0_38_38 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 3094 yields:
% 109.13/58.12 | (3095) ~ (all_0_38_38 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 436 to:
% 109.13/58.12 | (298) ~ (e3 = e1)
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (234), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (574) ~ (all_0_33_33 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 574 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19140) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (195), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (574) ~ (all_0_33_33 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 574 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19144) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (264), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (574) ~ (all_0_33_33 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 574 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19148) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e2) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e0))
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (225), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (574) ~ (all_0_33_33 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 574 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19152) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e2)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e4))
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (233), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (574) ~ (all_0_33_33 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1360) can reduce 574 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (1360) all_0_33_33 = e3
% 109.13/58.12 | (19156) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e0) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e4)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (130), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (1159) all_0_19_19 = e3
% 109.13/58.12 |
% 109.13/58.12 | Equations (1159) can reduce 131 to:
% 109.13/58.12 | (919) ~ (all_0_17_17 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1159) can reduce 172 to:
% 109.13/58.12 | (1189) ~ (all_0_18_18 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1159) can reduce 174 to:
% 109.13/58.12 | (3114) ~ (all_0_29_29 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 3114 yields:
% 109.13/58.12 | (3115) ~ (all_0_29_29 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1159) can reduce 295 to:
% 109.13/58.12 | (582) ~ (all_0_34_34 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 582 yields:
% 109.13/58.12 | (583) ~ (all_0_34_34 = e3)
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (57), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (1698) all_0_25_25 = e3
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 42 to:
% 109.13/58.12 | (572) ~ (all_0_15_15 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 122 to:
% 109.13/58.12 | (19166) ~ (all_0_27_27 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 19166 yields:
% 109.13/58.12 | (573) ~ (all_0_27_27 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 185 to:
% 109.13/58.12 | (7483) ~ (all_0_28_28 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 7483 yields:
% 109.13/58.12 | (893) ~ (all_0_28_28 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 7 to:
% 109.13/58.12 | (3114) ~ (all_0_29_29 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 3114 yields:
% 109.13/58.12 | (3115) ~ (all_0_29_29 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 62 to:
% 109.13/58.12 | (19172) ~ (all_0_30_30 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 19172 yields:
% 109.13/58.12 | (1800) ~ (all_0_30_30 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 505 to:
% 109.13/58.12 | (558) ~ (e4 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 558 yields:
% 109.13/58.12 | (255) ~ (e4 = e3)
% 109.13/58.12 |
% 109.13/58.12 | Equations (1698) can reduce 473 to:
% 109.13/58.12 | (52) ~ (e3 = e2)
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (142), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (855) all_0_17_17 = e3
% 109.13/58.12 |
% 109.13/58.12 | Equations (855) can reduce 919 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (919) ~ (all_0_17_17 = e3)
% 109.13/58.12 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (920), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (921) all_0_22_22 = e3
% 109.13/58.12 |
% 109.13/58.12 | Combining equations (921,442) yields a new equation:
% 109.13/58.12 | (614) e3 = e2
% 109.13/58.12 |
% 109.13/58.12 | Simplifying 614 yields:
% 109.13/58.12 | (615) e3 = e2
% 109.13/58.12 |
% 109.13/58.12 | Equations (615) can reduce 52 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (925) ~ (all_0_22_22 = e3)
% 109.13/58.12 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.12 |
% 109.13/58.12 +-Applying beta-rule and splitting (926), into two cases.
% 109.13/58.12 |-Branch one:
% 109.13/58.12 | (808) all_0_27_27 = e3
% 109.13/58.12 |
% 109.13/58.12 | Equations (808) can reduce 573 to:
% 109.13/58.12 | (400) $false
% 109.13/58.12 |
% 109.13/58.12 |-The branch is then unsatisfiable
% 109.13/58.12 |-Branch two:
% 109.13/58.12 | (573) ~ (all_0_27_27 = e3)
% 109.13/58.12 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 109.13/58.12 |
% 109.13/58.13 +-Applying beta-rule and splitting (931), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (629) all_0_32_32 = e3
% 109.13/58.13 |
% 109.13/58.13 | Equations (629) can reduce 579 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (579) ~ (all_0_32_32 = e3)
% 109.13/58.13 | (936) all_0_37_37 = e3
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 282 to:
% 109.13/58.13 | (919) ~ (all_0_17_17 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 167 to:
% 109.13/58.13 | (573) ~ (all_0_27_27 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 211 to:
% 109.13/58.13 | (579) ~ (all_0_32_32 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 309 to:
% 109.13/58.13 | (585) ~ (all_0_35_35 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 97 to:
% 109.13/58.13 | (3094) ~ (all_0_38_38 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 3094 yields:
% 109.13/58.13 | (3095) ~ (all_0_38_38 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 24 to:
% 109.13/58.13 | (10723) ~ (all_0_39_39 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 10723 yields:
% 109.13/58.13 | (571) ~ (all_0_39_39 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 450 to:
% 109.13/58.13 | (52) ~ (e3 = e2)
% 109.13/58.13 |
% 109.13/58.13 | Equations (936) can reduce 538 to:
% 109.13/58.13 | (80) ~ (e3 = e0)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (51), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (793) all_0_17_17 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (793) can reduce 456 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (456) ~ (all_0_17_17 = e4)
% 109.13/58.13 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (117), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (696) ~ (all_0_39_39 = e1)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (262), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (829) all_0_19_19 = e1
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (829,1159) yields a new equation:
% 109.13/58.13 | (928) e3 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (928) can reduce 298 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (943) ~ (all_0_19_19 = e1)
% 109.13/58.13 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (944), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (8658) all_0_24_24 = e1
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (488,8658) yields a new equation:
% 109.13/58.13 | (531) e1 = e0
% 109.13/58.13 |
% 109.13/58.13 | Equations (531) can reduce 40 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (432) ~ (all_0_24_24 = e1)
% 109.13/58.13 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (8663), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (4599) all_0_29_29 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 53 to:
% 109.13/58.13 | (857) ~ (all_0_27_27 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 47 to:
% 109.13/58.13 | (434) ~ (all_0_28_28 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 291 to:
% 109.13/58.13 | (12123) ~ (all_0_39_39 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 12123 yields:
% 109.13/58.13 | (696) ~ (all_0_39_39 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 3115 to:
% 109.13/58.13 | (824) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 824 yields:
% 109.13/58.13 | (298) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 479 to:
% 109.13/58.13 | (766) ~ (e2 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 766 yields:
% 109.13/58.13 | (310) ~ (e2 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (4599) can reduce 493 to:
% 109.13/58.13 | (40) ~ (e1 = e0)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (148), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (761) all_0_35_35 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 15 to:
% 109.13/58.13 | (417) ~ (all_0_30_30 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 210 to:
% 109.13/58.13 | (437) ~ (all_0_38_38 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 437 yields:
% 109.13/58.13 | (438) ~ (all_0_38_38 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 63 to:
% 109.13/58.13 | (12123) ~ (all_0_39_39 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 12123 yields:
% 109.13/58.13 | (696) ~ (all_0_39_39 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 585 to:
% 109.13/58.13 | (824) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 824 yields:
% 109.13/58.13 | (298) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 536 to:
% 109.13/58.13 | (40) ~ (e1 = e0)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (249), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (980) all_0_17_17 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (980) can reduce 9 to:
% 109.13/58.13 | (1549) ~ (all_0_18_18 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 1549 yields:
% 109.13/58.13 | (428) ~ (all_0_18_18 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (980) can reduce 226 to:
% 109.13/58.13 | (15522) ~ (all_0_27_27 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 15522 yields:
% 109.13/58.13 | (857) ~ (all_0_27_27 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (980) can reduce 456 to:
% 109.13/58.13 | (764) ~ (e4 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 764 yields:
% 109.13/58.13 | (56) ~ (e4 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (980) can reduce 919 to:
% 109.13/58.13 | (824) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 824 yields:
% 109.13/58.13 | (298) ~ (e3 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Equations (980) can reduce 396 to:
% 109.13/58.13 | (766) ~ (e2 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 766 yields:
% 109.13/58.13 | (310) ~ (e2 = e1)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (31), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (607) ~ (all_0_39_39 = e4)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (300), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (697) all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (697) can reduce 607 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (607) ~ (all_0_39_39 = e4)
% 109.13/58.13 | (700) all_0_39_39 = e3 | all_0_39_39 = e2 | all_0_39_39 = e1 | all_0_39_39 = e0
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (250), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (1151) all_0_19_19 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (1159,1151) yields a new equation:
% 109.13/58.13 | (597) e4 = e3
% 109.13/58.13 |
% 109.13/58.13 | Equations (597) can reduce 255 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (460) ~ (all_0_19_19 = e4)
% 109.13/58.13 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (1159) can reduce 460 to:
% 109.13/58.13 | (558) ~ (e4 = e3)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 558 yields:
% 109.13/58.13 | (255) ~ (e4 = e3)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (2780), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (2956) all_0_24_24 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (488,2956) yields a new equation:
% 109.13/58.13 | (515) e4 = e0
% 109.13/58.13 |
% 109.13/58.13 | Equations (515) can reduce 267 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (2960) ~ (all_0_24_24 = e4)
% 109.13/58.13 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (488) can reduce 2960 to:
% 109.13/58.13 | (543) ~ (e4 = e0)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 543 yields:
% 109.13/58.13 | (267) ~ (e4 = e0)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (248), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (724) all_0_35_35 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (761,724) yields a new equation:
% 109.13/58.13 | (838) e4 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (838) can reduce 56 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (509) ~ (all_0_35_35 = e4)
% 109.13/58.13 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (761) can reduce 509 to:
% 109.13/58.13 | (764) ~ (e4 = e1)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 764 yields:
% 109.13/58.13 | (56) ~ (e4 = e1)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (1091), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (2975) all_0_36_36 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (534,2975) yields a new equation:
% 109.13/58.13 | (515) e4 = e0
% 109.13/58.13 |
% 109.13/58.13 | Equations (515) can reduce 267 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (466) ~ (all_0_36_36 = e4)
% 109.13/58.13 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (2979), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (847) all_0_37_37 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (847,936) yields a new equation:
% 109.13/58.13 | (596) e4 = e3
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 596 yields:
% 109.13/58.13 | (597) e4 = e3
% 109.13/58.13 |
% 109.13/58.13 | Equations (597) can reduce 255 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (1002) ~ (all_0_37_37 = e4)
% 109.13/58.13 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (2961), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (941) all_0_29_29 = e4
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (941,4599) yields a new equation:
% 109.13/58.13 | (975) e4 = e1
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 975 yields:
% 109.13/58.13 | (838) e4 = e1
% 109.13/58.13 |
% 109.13/58.13 | Equations (838) can reduce 56 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (603) ~ (all_0_29_29 = e4)
% 109.13/58.13 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (2983), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (1846) all_0_38_38 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (1846) can reduce 38 to:
% 109.13/58.13 | (458) ~ (all_0_18_18 = e4)
% 109.13/58.13 |
% 109.13/58.13 | Equations (1846) can reduce 207 to:
% 109.13/58.13 | (883) ~ (all_0_28_28 = e4)
% 109.13/58.13 |
% 109.13/58.13 | Equations (1846) can reduce 231 to:
% 109.13/58.13 | (606) ~ (all_0_39_39 = e4)
% 109.13/58.13 |
% 109.13/58.13 | Simplifying 606 yields:
% 109.13/58.13 | (607) ~ (all_0_39_39 = e4)
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (86), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (854) all_0_28_28 = e4
% 109.13/58.13 |
% 109.13/58.13 | Equations (854) can reduce 883 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (883) ~ (all_0_28_28 = e4)
% 109.13/58.13 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (1021), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (1106) all_0_28_28 = e3
% 109.13/58.13 |
% 109.13/58.13 | Equations (1106) can reduce 893 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (893) ~ (all_0_28_28 = e3)
% 109.13/58.13 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (1117), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (1118) all_0_28_28 = e2
% 109.13/58.13 |
% 109.13/58.13 | Equations (1118) can reduce 477 to:
% 109.13/58.13 | (400) $false
% 109.13/58.13 |
% 109.13/58.13 |-The branch is then unsatisfiable
% 109.13/58.13 |-Branch two:
% 109.13/58.13 | (477) ~ (all_0_28_28 = e2)
% 109.13/58.13 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 109.13/58.13 |
% 109.13/58.13 +-Applying beta-rule and splitting (121), into two cases.
% 109.13/58.13 |-Branch one:
% 109.13/58.13 | (732) all_0_35_35 = e2
% 109.13/58.13 |
% 109.13/58.13 | Combining equations (761,732) yields a new equation:
% 109.13/58.13 | (621) e2 = e1
% 109.13/58.13 |
% 109.13/58.14 | Equations (621) can reduce 310 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (719) ~ (all_0_35_35 = e2)
% 109.13/58.14 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1477), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1478) all_0_36_36 = e2
% 109.13/58.14 |
% 109.13/58.14 | Combining equations (1478,534) yields a new equation:
% 109.13/58.14 | (524) e2 = e0
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 524 yields:
% 109.13/58.14 | (525) e2 = e0
% 109.13/58.14 |
% 109.13/58.14 | Equations (525) can reduce 336 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (481) ~ (all_0_36_36 = e2)
% 109.13/58.14 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1482), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1129) all_0_37_37 = e2
% 109.13/58.14 |
% 109.13/58.14 | Combining equations (936,1129) yields a new equation:
% 109.13/58.14 | (614) e3 = e2
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 614 yields:
% 109.13/58.14 | (615) e3 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (615) can reduce 52 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (450) ~ (all_0_37_37 = e2)
% 109.13/58.14 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (3061), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (601) all_0_34_34 = e4
% 109.13/58.14 |
% 109.13/58.14 | Equations (601) can reduce 132 to:
% 109.13/58.14 | (604) ~ (all_0_32_32 = e4)
% 109.13/58.14 |
% 109.13/58.14 | Equations (601) can reduce 85 to:
% 109.13/58.14 | (606) ~ (all_0_39_39 = e4)
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 606 yields:
% 109.13/58.14 | (607) ~ (all_0_39_39 = e4)
% 109.13/58.14 |
% 109.13/58.14 | Equations (601) can reduce 583 to:
% 109.13/58.14 | (255) ~ (e4 = e3)
% 109.13/58.14 |
% 109.13/58.14 | Equations (601) can reduce 495 to:
% 109.13/58.14 | (267) ~ (e4 = e0)
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (4528), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (3218) all_0_38_38 = e2
% 109.13/58.14 |
% 109.13/58.14 | Combining equations (3218,1846) yields a new equation:
% 109.13/58.14 | (798) e4 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (798) can reduce 21 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (2728) ~ (all_0_38_38 = e2)
% 109.13/58.14 | (705) all_0_39_39 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 607 to:
% 109.13/58.14 | (482) ~ (e4 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 482 yields:
% 109.13/58.14 | (21) ~ (e4 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 571 to:
% 109.13/58.14 | (643) ~ (e3 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 643 yields:
% 109.13/58.14 | (52) ~ (e3 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 696 to:
% 109.13/58.14 | (310) ~ (e2 = e1)
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 542 to:
% 109.13/58.14 | (336) ~ (e2 = e0)
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (160), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (711) all_0_15_15 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (711) can reduce 90 to:
% 109.13/58.14 | (714) ~ (all_0_18_18 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Simplifying 714 yields:
% 109.13/58.14 | (638) ~ (all_0_18_18 = e2)
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (342), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1008) all_0_18_18 = e4
% 109.13/58.14 |
% 109.13/58.14 | Equations (1008) can reduce 458 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (458) ~ (all_0_18_18 = e4)
% 109.13/58.14 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1121), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1122) all_0_28_28 = e1
% 109.13/58.14 |
% 109.13/58.14 | Equations (1122) can reduce 434 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (434) ~ (all_0_28_28 = e1)
% 109.13/58.14 | (1125) all_0_28_28 = e0
% 109.13/58.14 |
% 109.13/58.14 | Equations (1125) can reduce 302 to:
% 109.13/58.14 | (1141) ~ (all_0_18_18 = e0)
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1146), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1147) all_0_18_18 = e3
% 109.13/58.14 |
% 109.13/58.14 | Equations (1147) can reduce 1189 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (1189) ~ (all_0_18_18 = e3)
% 109.13/58.14 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1190), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1191) all_0_18_18 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (1191) can reduce 638 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (638) ~ (all_0_18_18 = e2)
% 109.13/58.14 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1194), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (984) all_0_18_18 = e1
% 109.13/58.14 |
% 109.13/58.14 | Equations (984) can reduce 428 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (428) ~ (all_0_18_18 = e1)
% 109.13/58.14 | (756) all_0_18_18 = e0
% 109.13/58.14 |
% 109.13/58.14 | Equations (756) can reduce 1141 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (769) ~ (all_0_15_15 = e2)
% 109.13/58.14 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (236), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (609) all_0_32_32 = e4
% 109.13/58.14 |
% 109.13/58.14 | Equations (609) can reduce 604 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (604) ~ (all_0_32_32 = e4)
% 109.13/58.14 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (316), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1250) ~ (all_0_39_39 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 1250 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (705) all_0_39_39 = e2
% 109.13/58.14 | (8374) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e3) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e4)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (34), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1250) ~ (all_0_39_39 = e2)
% 109.13/58.14 |
% 109.13/58.14 | Equations (705) can reduce 1250 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (705) all_0_39_39 = e2
% 109.13/58.14 | (7360) (all_0_1_1 = all_0_37_37 & ~ (all_0_0_0 = e4) & op(all_0_37_37, e0) = all_0_0_0) | (all_0_1_1 = all_0_37_37 & ~ (all_0_37_37 = e3)) | (all_0_2_2 = all_0_29_29 & ~ (all_0_29_29 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (796), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (797) all_0_22_22 = e4
% 109.13/58.14 |
% 109.13/58.14 | Combining equations (442,797) yields a new equation:
% 109.13/58.14 | (798) e4 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (798) can reduce 21 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (800) ~ (all_0_22_22 = e4)
% 109.13/58.14 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (801), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (804) all_0_27_27 = e4
% 109.13/58.14 |
% 109.13/58.14 | Equations (804) can reduce 573 to:
% 109.13/58.14 | (255) ~ (e4 = e3)
% 109.13/58.14 |
% 109.13/58.14 | Equations (804) can reduce 475 to:
% 109.13/58.14 | (21) ~ (e4 = e2)
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (119), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (785) ~ (all_0_27_27 = e4)
% 109.13/58.14 |
% 109.13/58.14 | Equations (804) can reduce 785 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (804) all_0_27_27 = e4
% 109.13/58.14 | (4474) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e0) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e3)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (179), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (711) all_0_15_15 = e2
% 109.13/58.14 |
% 109.13/58.14 | Equations (711) can reduce 769 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (769) ~ (all_0_15_15 = e2)
% 109.13/58.14 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (281), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (785) ~ (all_0_27_27 = e4)
% 109.13/58.14 |
% 109.13/58.14 | Equations (804) can reduce 785 to:
% 109.13/58.14 | (400) $false
% 109.13/58.14 |
% 109.13/58.14 |-The branch is then unsatisfiable
% 109.13/58.14 |-Branch two:
% 109.13/58.14 | (804) all_0_27_27 = e4
% 109.13/58.14 | (1017) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e3) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (251), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1278), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1279), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1280), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1281), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1282), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.13/58.14 |
% 109.13/58.14 +-Applying beta-rule and splitting (1283), into two cases.
% 109.13/58.14 |-Branch one:
% 109.13/58.14 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1284), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1285), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1286), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1287), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1288), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1289), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1290), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1291), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1292), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1293), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1294), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.23/58.14 |
% 109.23/58.14 +-Applying beta-rule and splitting (1295), into two cases.
% 109.23/58.14 |-Branch one:
% 109.23/58.14 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.23/58.14 |
% 109.23/58.14 | Applying alpha-rule on (1296) yields:
% 109.23/58.14 | (1297) all_0_15_15 = e3
% 109.23/58.14 | (550) all_0_21_21 = e4
% 109.23/58.14 | (1299) ~ (all_0_16_16 = e4)
% 109.23/58.14 |
% 109.23/58.14 | Combining equations (557,550) yields a new equation:
% 109.23/58.14 | (597) e4 = e3
% 109.23/58.14 |
% 109.23/58.15 | Equations (597) can reduce 255 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1303) yields:
% 109.23/58.15 | (1297) all_0_15_15 = e3
% 109.23/58.15 | (550) all_0_21_21 = e4
% 109.23/58.15 | (1306) ~ (all_0_20_20 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,550) yields a new equation:
% 109.23/58.15 | (597) e4 = e3
% 109.23/58.15 |
% 109.23/58.15 | Equations (597) can reduce 255 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1310) yields:
% 109.23/58.15 | (711) all_0_15_15 = e2
% 109.23/58.15 | (804) all_0_27_27 = e4
% 109.23/58.15 | (456) ~ (all_0_17_17 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Equations (711) can reduce 769 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1315) yields:
% 109.23/58.15 | (711) all_0_15_15 = e2
% 109.23/58.15 | (804) all_0_27_27 = e4
% 109.23/58.15 | (473) ~ (all_0_25_25 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Equations (711) can reduce 769 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1320) yields:
% 109.23/58.15 | (969) all_0_15_15 = e1
% 109.23/58.15 | (1322) all_0_33_33 = e4
% 109.23/58.15 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.15 | (597) e4 = e3
% 109.23/58.15 |
% 109.23/58.15 | Equations (597) can reduce 255 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1326) yields:
% 109.23/58.15 | (969) all_0_15_15 = e1
% 109.23/58.15 | (1322) all_0_33_33 = e4
% 109.23/58.15 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.15 | (597) e4 = e3
% 109.23/58.15 |
% 109.23/58.15 | Equations (597) can reduce 255 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1332) yields:
% 109.23/58.15 | (736) all_0_15_15 = e0
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 | (460) ~ (all_0_19_19 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,697) yields a new equation:
% 109.23/58.15 | (798) e4 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (798) can reduce 21 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1339) yields:
% 109.23/58.15 | (736) all_0_15_15 = e0
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 | (536) ~ (all_0_35_35 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,697) yields a new equation:
% 109.23/58.15 | (798) e4 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (798) can reduce 21 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1346) yields:
% 109.23/58.15 | (1347) all_0_21_21 = e2
% 109.23/58.15 | (808) all_0_27_27 = e3
% 109.23/58.15 | (925) ~ (all_0_22_22 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,1347) yields a new equation:
% 109.23/58.15 | (614) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 614 yields:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (615) can reduce 52 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1352) yields:
% 109.23/58.15 | (1347) all_0_21_21 = e2
% 109.23/58.15 | (808) all_0_27_27 = e3
% 109.23/58.15 | (1355) ~ (all_0_26_26 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,1347) yields a new equation:
% 109.23/58.15 | (614) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 614 yields:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (615) can reduce 52 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1358) yields:
% 109.23/58.15 | (1359) all_0_21_21 = e1
% 109.23/58.15 | (1360) all_0_33_33 = e3
% 109.23/58.15 | (1361) ~ (all_0_23_23 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,1359) yields a new equation:
% 109.23/58.15 | (1113) e3 = e1
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 1113 yields:
% 109.23/58.15 | (928) e3 = e1
% 109.23/58.15 |
% 109.23/58.15 | Equations (928) can reduce 298 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1367) yields:
% 109.23/58.15 | (1359) all_0_21_21 = e1
% 109.23/58.15 | (1360) all_0_33_33 = e3
% 109.23/58.15 | (1370) ~ (all_0_31_31 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,1359) yields a new equation:
% 109.23/58.15 | (1113) e3 = e1
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 1113 yields:
% 109.23/58.15 | (928) e3 = e1
% 109.23/58.15 |
% 109.23/58.15 | Equations (928) can reduce 298 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1376) yields:
% 109.23/58.15 | (519) all_0_21_21 = e0
% 109.23/58.15 | (701) all_0_39_39 = e3
% 109.23/58.15 | (1379) ~ (all_0_24_24 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,519) yields a new equation:
% 109.23/58.15 | (647) e3 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 647 yields:
% 109.23/58.15 | (648) e3 = e0
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,701) yields a new equation:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (615,648) yields a new equation:
% 109.23/58.15 | (524) e2 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 524 yields:
% 109.23/58.15 | (525) e2 = e0
% 109.23/58.15 |
% 109.23/58.15 | Equations (525) can reduce 336 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1385) yields:
% 109.23/58.15 | (519) all_0_21_21 = e0
% 109.23/58.15 | (701) all_0_39_39 = e3
% 109.23/58.15 | (1388) ~ (all_0_36_36 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (557,519) yields a new equation:
% 109.23/58.15 | (647) e3 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 647 yields:
% 109.23/58.15 | (648) e3 = e0
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,701) yields a new equation:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (615,648) yields a new equation:
% 109.23/58.15 | (524) e2 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 524 yields:
% 109.23/58.15 | (525) e2 = e0
% 109.23/58.15 |
% 109.23/58.15 | Equations (525) can reduce 336 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1394) yields:
% 109.23/58.15 | (816) all_0_27_27 = e1
% 109.23/58.15 | (637) all_0_33_33 = e2
% 109.23/58.15 | (477) ~ (all_0_28_28 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (1360,637) yields a new equation:
% 109.23/58.15 | (614) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 614 yields:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (615) can reduce 52 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1421) yields:
% 109.23/58.15 | (816) all_0_27_27 = e1
% 109.23/58.15 | (637) all_0_33_33 = e2
% 109.23/58.15 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (1360,637) yields a new equation:
% 109.23/58.15 | (614) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 614 yields:
% 109.23/58.15 | (615) e3 = e2
% 109.23/58.15 |
% 109.23/58.15 | Equations (615) can reduce 52 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1448) yields:
% 109.23/58.15 | (995) all_0_27_27 = e0
% 109.23/58.15 | (705) all_0_39_39 = e2
% 109.23/58.15 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (804,995) yields a new equation:
% 109.23/58.15 | (743) e4 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 743 yields:
% 109.23/58.15 | (515) e4 = e0
% 109.23/58.15 |
% 109.23/58.15 | Equations (515) can reduce 267 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1455) yields:
% 109.23/58.15 | (995) all_0_27_27 = e0
% 109.23/58.15 | (705) all_0_39_39 = e2
% 109.23/58.15 | (538) ~ (all_0_37_37 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (804,995) yields a new equation:
% 109.23/58.15 | (743) e4 = e0
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 743 yields:
% 109.23/58.15 | (515) e4 = e0
% 109.23/58.15 |
% 109.23/58.15 | Equations (515) can reduce 267 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1462) yields:
% 109.23/58.15 | (1463) all_0_33_33 = e0
% 109.23/58.15 | (1252) all_0_39_39 = e1
% 109.23/58.15 | (421) ~ (all_0_34_34 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,1252) yields a new equation:
% 109.23/58.15 | (620) e2 = e1
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 620 yields:
% 109.23/58.15 | (621) e2 = e1
% 109.23/58.15 |
% 109.23/58.15 | Equations (621) can reduce 310 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Applying alpha-rule on (1469) yields:
% 109.23/58.15 | (1463) all_0_33_33 = e0
% 109.23/58.15 | (1252) all_0_39_39 = e1
% 109.23/58.15 | (540) ~ (all_0_38_38 = e0)
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (705,1252) yields a new equation:
% 109.23/58.15 | (620) e2 = e1
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 620 yields:
% 109.23/58.15 | (621) e2 = e1
% 109.23/58.15 |
% 109.23/58.15 | Equations (621) can reduce 310 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (785) ~ (all_0_27_27 = e4)
% 109.23/58.15 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.23/58.15 |
% 109.23/58.15 +-Applying beta-rule and splitting (841), into two cases.
% 109.23/58.15 |-Branch one:
% 109.23/58.15 | (609) all_0_32_32 = e4
% 109.23/58.15 |
% 109.23/58.15 | Equations (609) can reduce 604 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (604) ~ (all_0_32_32 = e4)
% 109.23/58.15 | (847) all_0_37_37 = e4
% 109.23/58.15 |
% 109.23/58.15 | Combining equations (847,936) yields a new equation:
% 109.23/58.15 | (596) e4 = e3
% 109.23/58.15 |
% 109.23/58.15 | Simplifying 596 yields:
% 109.23/58.15 | (597) e4 = e3
% 109.23/58.15 |
% 109.23/58.15 | Equations (597) can reduce 255 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (2554) ~ (all_0_34_34 = e4)
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 607 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 607 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 231 to:
% 109.23/58.15 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 571 to:
% 109.23/58.15 | (255) ~ (e4 = e3)
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 696 to:
% 109.23/58.15 | (56) ~ (e4 = e1)
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 542 to:
% 109.23/58.15 | (267) ~ (e4 = e0)
% 109.23/58.15 |
% 109.23/58.15 +-Applying beta-rule and splitting (333), into two cases.
% 109.23/58.15 |-Branch one:
% 109.23/58.15 | (1846) all_0_38_38 = e4
% 109.23/58.15 |
% 109.23/58.15 | Equations (1846) can reduce 1835 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.15 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.23/58.15 |
% 109.23/58.15 +-Applying beta-rule and splitting (288), into two cases.
% 109.23/58.15 |-Branch one:
% 109.23/58.15 | (607) ~ (all_0_39_39 = e4)
% 109.23/58.15 |
% 109.23/58.15 | Equations (697) can reduce 607 to:
% 109.23/58.15 | (400) $false
% 109.23/58.15 |
% 109.23/58.15 |-The branch is then unsatisfiable
% 109.23/58.15 |-Branch two:
% 109.23/58.15 | (697) all_0_39_39 = e4
% 109.23/58.15 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.23/58.15 |
% 109.23/58.15 +-Applying beta-rule and splitting (147), into two cases.
% 109.23/58.15 |-Branch one:
% 109.23/58.15 | (1008) all_0_18_18 = e4
% 109.23/58.15 |
% 109.23/58.16 | Equations (1008) can reduce 458 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.16 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (297), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (595) all_0_30_30 = e4
% 109.23/58.16 |
% 109.23/58.16 | Equations (595) can reduce 507 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (507) ~ (all_0_30_30 = e4)
% 109.23/58.16 | (600) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (3213), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (3208) all_0_38_38 = e3
% 109.23/58.16 |
% 109.23/58.16 | Equations (3208) can reduce 3095 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (3095) ~ (all_0_38_38 = e3)
% 109.23/58.16 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (168), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (1163) all_0_19_19 = e2
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (1159,1163) yields a new equation:
% 109.23/58.16 | (614) e3 = e2
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 614 yields:
% 109.23/58.16 | (615) e3 = e2
% 109.23/58.16 |
% 109.23/58.16 | Equations (615) can reduce 52 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (706) ~ (all_0_19_19 = e2)
% 109.23/58.16 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (1012), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (1022) all_0_23_23 = e4
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (427,1022) yields a new equation:
% 109.23/58.16 | (838) e4 = e1
% 109.23/58.16 |
% 109.23/58.16 | Equations (838) can reduce 56 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (1025) ~ (all_0_23_23 = e4)
% 109.23/58.16 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (1026), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (854) all_0_28_28 = e4
% 109.23/58.16 |
% 109.23/58.16 | Equations (854) can reduce 337 to:
% 109.23/58.16 | (785) ~ (all_0_27_27 = e4)
% 109.23/58.16 |
% 109.23/58.16 | Equations (854) can reduce 207 to:
% 109.23/58.16 | (1834) ~ (all_0_38_38 = e4)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 1834 yields:
% 109.23/58.16 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.16 |
% 109.23/58.16 | Equations (854) can reduce 893 to:
% 109.23/58.16 | (255) ~ (e4 = e3)
% 109.23/58.16 |
% 109.23/58.16 | Equations (854) can reduce 477 to:
% 109.23/58.16 | (21) ~ (e4 = e2)
% 109.23/58.16 |
% 109.23/58.16 | Equations (854) can reduce 434 to:
% 109.23/58.16 | (56) ~ (e4 = e1)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (93), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (749) all_0_25_25 = e0
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (1698,749) yields a new equation:
% 109.23/58.16 | (647) e3 = e0
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 647 yields:
% 109.23/58.16 | (648) e3 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (648) can reduce 80 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (1054) ~ (all_0_25_25 = e0)
% 109.23/58.16 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (7045), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (7046) all_0_24_24 = e2
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (7046,488) yields a new equation:
% 109.23/58.16 | (524) e2 = e0
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 524 yields:
% 109.23/58.16 | (525) e2 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (525) can reduce 336 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (446) ~ (all_0_24_24 = e2)
% 109.23/58.16 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.16 |
% 109.23/58.16 | Equations (488) can reduce 446 to:
% 109.23/58.16 | (496) ~ (e2 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 496 yields:
% 109.23/58.16 | (336) ~ (e2 = e0)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (5498), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (523) all_0_26_26 = e0
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (471,523) yields a new equation:
% 109.23/58.16 | (524) e2 = e0
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 524 yields:
% 109.23/58.16 | (525) e2 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (525) can reduce 336 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (527) ~ (all_0_26_26 = e0)
% 109.23/58.16 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (175), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (804) all_0_27_27 = e4
% 109.23/58.16 |
% 109.23/58.16 | Equations (804) can reduce 785 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (785) ~ (all_0_27_27 = e4)
% 109.23/58.16 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (7050), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (5199) all_0_29_29 = e2
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (4599,5199) yields a new equation:
% 109.23/58.16 | (621) e2 = e1
% 109.23/58.16 |
% 109.23/58.16 | Equations (621) can reduce 310 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.16 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (7056), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (2551) all_0_34_34 = e2
% 109.23/58.16 |
% 109.23/58.16 | Equations (2551) can reduce 202 to:
% 109.23/58.16 | (617) ~ (all_0_30_30 = e2)
% 109.23/58.16 |
% 109.23/58.16 | Equations (2551) can reduce 132 to:
% 109.23/58.16 | (448) ~ (all_0_32_32 = e2)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (807), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (808) all_0_27_27 = e3
% 109.23/58.16 |
% 109.23/58.16 | Equations (808) can reduce 573 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (573) ~ (all_0_27_27 = e3)
% 109.23/58.16 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (811), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (812) all_0_27_27 = e2
% 109.23/58.16 |
% 109.23/58.16 | Equations (812) can reduce 475 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (475) ~ (all_0_27_27 = e2)
% 109.23/58.16 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (5504), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (995) all_0_27_27 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 785 to:
% 109.23/58.16 | (543) ~ (e4 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 543 yields:
% 109.23/58.16 | (267) ~ (e4 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 573 to:
% 109.23/58.16 | (665) ~ (e3 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 665 yields:
% 109.23/58.16 | (80) ~ (e3 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 475 to:
% 109.23/58.16 | (496) ~ (e2 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 496 yields:
% 109.23/58.16 | (336) ~ (e2 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 857 to:
% 109.23/58.16 | (498) ~ (e1 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 498 yields:
% 109.23/58.16 | (40) ~ (e1 = e0)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (182), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (660) ~ (all_0_27_27 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 660 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (995) all_0_27_27 = e0
% 109.23/58.16 | (2755) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e1)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (81), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (660) ~ (all_0_27_27 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Equations (995) can reduce 660 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (995) all_0_27_27 = e0
% 109.23/58.16 | (2996) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e4)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e3))
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (179), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (711) all_0_15_15 = e2
% 109.23/58.16 |
% 109.23/58.16 | Equations (711) can reduce 3 to:
% 109.23/58.16 | (19674) ~ (all_0_30_30 = e2)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 19674 yields:
% 109.23/58.16 | (617) ~ (all_0_30_30 = e2)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (76), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (769) ~ (all_0_15_15 = e2)
% 109.23/58.16 |
% 109.23/58.16 | Equations (711) can reduce 769 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (711) all_0_15_15 = e2
% 109.23/58.16 | (8348) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (284), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (769) ~ (all_0_15_15 = e2)
% 109.23/58.16 |
% 109.23/58.16 | Equations (711) can reduce 769 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (711) all_0_15_15 = e2
% 109.23/58.16 | (780) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (92), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (736) all_0_15_15 = e0
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (736,711) yields a new equation:
% 109.23/58.16 | (525) e2 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (525) can reduce 336 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (739) ~ (all_0_15_15 = e0)
% 109.23/58.16 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (1207), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (514) all_0_16_16 = e0
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (514,454) yields a new equation:
% 109.23/58.16 | (515) e4 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (515) can reduce 267 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (517) ~ (all_0_16_16 = e0)
% 109.23/58.16 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (1212), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (1184) all_0_17_17 = e0
% 109.23/58.16 |
% 109.23/58.16 | Combining equations (1184,980) yields a new equation:
% 109.23/58.16 | (531) e1 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (531) can reduce 40 to:
% 109.23/58.16 | (400) $false
% 109.23/58.16 |
% 109.23/58.16 |-The branch is then unsatisfiable
% 109.23/58.16 |-Branch two:
% 109.23/58.16 | (659) ~ (all_0_17_17 = e0)
% 109.23/58.16 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (1216), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (756) all_0_18_18 = e0
% 109.23/58.16 |
% 109.23/58.16 | Equations (756) can reduce 38 to:
% 109.23/58.16 | (539) ~ (all_0_38_38 = e0)
% 109.23/58.16 |
% 109.23/58.16 | Simplifying 539 yields:
% 109.23/58.16 | (540) ~ (all_0_38_38 = e0)
% 109.23/58.16 |
% 109.23/58.16 +-Applying beta-rule and splitting (3217), into two cases.
% 109.23/58.16 |-Branch one:
% 109.23/58.16 | (3218) all_0_38_38 = e2
% 109.23/58.16 |
% 109.23/58.17 | Equations (3218) can reduce 1835 to:
% 109.23/58.17 | (482) ~ (e4 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 482 yields:
% 109.23/58.17 | (21) ~ (e4 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Equations (3218) can reduce 3095 to:
% 109.23/58.17 | (643) ~ (e3 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 643 yields:
% 109.23/58.17 | (52) ~ (e3 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Equations (3218) can reduce 438 to:
% 109.23/58.17 | (310) ~ (e2 = e1)
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (600), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (2556) all_0_31_31 = e4
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (414,2556) yields a new equation:
% 109.23/58.17 | (838) e4 = e1
% 109.23/58.17 |
% 109.23/58.17 | Equations (838) can reduce 56 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (2559) ~ (all_0_31_31 = e4)
% 109.23/58.17 | (2560) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (2560), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (609) all_0_32_32 = e4
% 109.23/58.17 |
% 109.23/58.17 | Equations (609) can reduce 301 to:
% 109.23/58.17 | (507) ~ (all_0_30_30 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Equations (609) can reduce 448 to:
% 109.23/58.17 | (21) ~ (e4 = e2)
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (71), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (595) all_0_30_30 = e4
% 109.23/58.17 |
% 109.23/58.17 | Equations (595) can reduce 507 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (507) ~ (all_0_30_30 = e4)
% 109.23/58.17 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (6692), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (575) all_0_30_30 = e3
% 109.23/58.17 |
% 109.23/58.17 | Equations (575) can reduce 1800 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1800) ~ (all_0_30_30 = e3)
% 109.23/58.17 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (11175), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (613) all_0_30_30 = e2
% 109.23/58.17 |
% 109.23/58.17 | Equations (613) can reduce 617 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (617) ~ (all_0_30_30 = e2)
% 109.23/58.17 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (14452), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1521) all_0_30_30 = e1
% 109.23/58.17 |
% 109.23/58.17 | Equations (1521) can reduce 417 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.17 | (646) all_0_30_30 = e0
% 109.23/58.17 |
% 109.23/58.17 | Equations (646) can reduce 507 to:
% 109.23/58.17 | (543) ~ (e4 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 543 yields:
% 109.23/58.17 | (267) ~ (e4 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Equations (646) can reduce 1800 to:
% 109.23/58.17 | (665) ~ (e3 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 665 yields:
% 109.23/58.17 | (80) ~ (e3 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Equations (646) can reduce 617 to:
% 109.23/58.17 | (496) ~ (e2 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 496 yields:
% 109.23/58.17 | (336) ~ (e2 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Equations (646) can reduce 417 to:
% 109.23/58.17 | (498) ~ (e1 = e0)
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 498 yields:
% 109.23/58.17 | (40) ~ (e1 = e0)
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (251), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1278), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1279), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1280), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1281), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1282), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1283), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1284), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1285), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1286), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1287), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1288), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1289), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1290), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1291), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1292), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1293), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1294), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.23/58.17 |
% 109.23/58.17 +-Applying beta-rule and splitting (1295), into two cases.
% 109.23/58.17 |-Branch one:
% 109.23/58.17 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1296) yields:
% 109.23/58.17 | (1297) all_0_15_15 = e3
% 109.23/58.17 | (550) all_0_21_21 = e4
% 109.23/58.17 | (1299) ~ (all_0_16_16 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (1297,711) yields a new equation:
% 109.23/58.17 | (614) e3 = e2
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 614 yields:
% 109.23/58.17 | (615) e3 = e2
% 109.23/58.17 |
% 109.23/58.17 | Equations (615) can reduce 52 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1303) yields:
% 109.23/58.17 | (1297) all_0_15_15 = e3
% 109.23/58.17 | (550) all_0_21_21 = e4
% 109.23/58.17 | (1306) ~ (all_0_20_20 = e3)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (1297,711) yields a new equation:
% 109.23/58.17 | (614) e3 = e2
% 109.23/58.17 |
% 109.23/58.17 | Simplifying 614 yields:
% 109.23/58.17 | (615) e3 = e2
% 109.23/58.17 |
% 109.23/58.17 | Equations (615) can reduce 52 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1310) yields:
% 109.23/58.17 | (711) all_0_15_15 = e2
% 109.23/58.17 | (804) all_0_27_27 = e4
% 109.23/58.17 | (456) ~ (all_0_17_17 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (995,804) yields a new equation:
% 109.23/58.17 | (515) e4 = e0
% 109.23/58.17 |
% 109.23/58.17 | Equations (515) can reduce 267 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1315) yields:
% 109.23/58.17 | (711) all_0_15_15 = e2
% 109.23/58.17 | (804) all_0_27_27 = e4
% 109.23/58.17 | (473) ~ (all_0_25_25 = e2)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (995,804) yields a new equation:
% 109.23/58.17 | (515) e4 = e0
% 109.23/58.17 |
% 109.23/58.17 | Equations (515) can reduce 267 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1320) yields:
% 109.23/58.17 | (969) all_0_15_15 = e1
% 109.23/58.17 | (1322) all_0_33_33 = e4
% 109.23/58.17 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (969,711) yields a new equation:
% 109.23/58.17 | (621) e2 = e1
% 109.23/58.17 |
% 109.23/58.17 | Equations (621) can reduce 310 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.17 |-Branch two:
% 109.23/58.17 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.23/58.17 |
% 109.23/58.17 | Applying alpha-rule on (1326) yields:
% 109.23/58.17 | (969) all_0_15_15 = e1
% 109.23/58.17 | (1322) all_0_33_33 = e4
% 109.23/58.17 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.17 |
% 109.23/58.17 | Combining equations (969,711) yields a new equation:
% 109.23/58.17 | (621) e2 = e1
% 109.23/58.17 |
% 109.23/58.17 | Equations (621) can reduce 310 to:
% 109.23/58.17 | (400) $false
% 109.23/58.17 |
% 109.23/58.17 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1332) yields:
% 109.23/58.18 | (736) all_0_15_15 = e0
% 109.23/58.18 | (697) all_0_39_39 = e4
% 109.23/58.18 | (460) ~ (all_0_19_19 = e4)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (736,711) yields a new equation:
% 109.23/58.18 | (525) e2 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (525) can reduce 336 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1339) yields:
% 109.23/58.18 | (736) all_0_15_15 = e0
% 109.23/58.18 | (697) all_0_39_39 = e4
% 109.23/58.18 | (536) ~ (all_0_35_35 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (736,711) yields a new equation:
% 109.23/58.18 | (525) e2 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (525) can reduce 336 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1346) yields:
% 109.23/58.18 | (1347) all_0_21_21 = e2
% 109.23/58.18 | (808) all_0_27_27 = e3
% 109.23/58.18 | (925) ~ (all_0_22_22 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1347,557) yields a new equation:
% 109.23/58.18 | (615) e3 = e2
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (995,808) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (648,615) yields a new equation:
% 109.23/58.18 | (525) e2 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (525) can reduce 336 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1352) yields:
% 109.23/58.18 | (1347) all_0_21_21 = e2
% 109.23/58.18 | (808) all_0_27_27 = e3
% 109.23/58.18 | (1355) ~ (all_0_26_26 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1347,557) yields a new equation:
% 109.23/58.18 | (615) e3 = e2
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (995,808) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (648,615) yields a new equation:
% 109.23/58.18 | (525) e2 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (525) can reduce 336 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1358) yields:
% 109.23/58.18 | (1359) all_0_21_21 = e1
% 109.23/58.18 | (1360) all_0_33_33 = e3
% 109.23/58.18 | (1361) ~ (all_0_23_23 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1359,557) yields a new equation:
% 109.23/58.18 | (928) e3 = e1
% 109.23/58.18 |
% 109.23/58.18 | Equations (928) can reduce 298 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1367) yields:
% 109.23/58.18 | (1359) all_0_21_21 = e1
% 109.23/58.18 | (1360) all_0_33_33 = e3
% 109.23/58.18 | (1370) ~ (all_0_31_31 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1359,557) yields a new equation:
% 109.23/58.18 | (928) e3 = e1
% 109.23/58.18 |
% 109.23/58.18 | Equations (928) can reduce 298 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1376) yields:
% 109.23/58.18 | (519) all_0_21_21 = e0
% 109.23/58.18 | (701) all_0_39_39 = e3
% 109.23/58.18 | (1379) ~ (all_0_24_24 = e3)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (519,557) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (648) can reduce 80 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1385) yields:
% 109.23/58.18 | (519) all_0_21_21 = e0
% 109.23/58.18 | (701) all_0_39_39 = e3
% 109.23/58.18 | (1388) ~ (all_0_36_36 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (519,557) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (648) can reduce 80 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1394) yields:
% 109.23/58.18 | (816) all_0_27_27 = e1
% 109.23/58.18 | (637) all_0_33_33 = e2
% 109.23/58.18 | (477) ~ (all_0_28_28 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (995,816) yields a new equation:
% 109.23/58.18 | (531) e1 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (531) can reduce 40 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1421) yields:
% 109.23/58.18 | (816) all_0_27_27 = e1
% 109.23/58.18 | (637) all_0_33_33 = e2
% 109.23/58.18 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (995,816) yields a new equation:
% 109.23/58.18 | (531) e1 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (531) can reduce 40 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1448) yields:
% 109.23/58.18 | (995) all_0_27_27 = e0
% 109.23/58.18 | (705) all_0_39_39 = e2
% 109.23/58.18 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (697,705) yields a new equation:
% 109.23/58.18 | (1531) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 1531 yields:
% 109.23/58.18 | (798) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (798) can reduce 21 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1455) yields:
% 109.23/58.18 | (995) all_0_27_27 = e0
% 109.23/58.18 | (705) all_0_39_39 = e2
% 109.23/58.18 | (538) ~ (all_0_37_37 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (697,705) yields a new equation:
% 109.23/58.18 | (1531) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 1531 yields:
% 109.23/58.18 | (798) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (798) can reduce 21 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1462) yields:
% 109.23/58.18 | (1463) all_0_33_33 = e0
% 109.23/58.18 | (1252) all_0_39_39 = e1
% 109.23/58.18 | (421) ~ (all_0_34_34 = e1)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1463,1360) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (648) can reduce 80 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Applying alpha-rule on (1469) yields:
% 109.23/58.18 | (1463) all_0_33_33 = e0
% 109.23/58.18 | (1252) all_0_39_39 = e1
% 109.23/58.18 | (540) ~ (all_0_38_38 = e0)
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1463,1360) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (648) can reduce 80 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (604) ~ (all_0_32_32 = e4)
% 109.23/58.18 | (4348) all_0_33_33 = e4 | all_0_34_34 = e4
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (4348), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (1322) all_0_33_33 = e4
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.18 | (597) e4 = e3
% 109.23/58.18 |
% 109.23/58.18 | Equations (597) can reduce 255 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (594) ~ (all_0_33_33 = e4)
% 109.23/58.18 | (601) all_0_34_34 = e4
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (2551,601) yields a new equation:
% 109.23/58.18 | (798) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (798) can reduce 21 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (2728) ~ (all_0_38_38 = e2)
% 109.23/58.18 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (3221), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (3222) all_0_38_38 = e1
% 109.23/58.18 |
% 109.23/58.18 | Equations (3222) can reduce 438 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (438) ~ (all_0_38_38 = e1)
% 109.23/58.18 | (3225) all_0_38_38 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (3225) can reduce 540 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (1141) ~ (all_0_18_18 = e0)
% 109.23/58.18 | (1187) all_0_19_19 = e0
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1187,1159) yields a new equation:
% 109.23/58.18 | (648) e3 = e0
% 109.23/58.18 |
% 109.23/58.18 | Equations (648) can reduce 80 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (769) ~ (all_0_15_15 = e2)
% 109.23/58.18 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (3217), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (3218) all_0_38_38 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (3218) can reduce 1835 to:
% 109.23/58.18 | (482) ~ (e4 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 482 yields:
% 109.23/58.18 | (21) ~ (e4 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Equations (3218) can reduce 3095 to:
% 109.23/58.18 | (643) ~ (e3 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 643 yields:
% 109.23/58.18 | (52) ~ (e3 = e2)
% 109.23/58.18 |
% 109.23/58.18 | Equations (3218) can reduce 438 to:
% 109.23/58.18 | (310) ~ (e2 = e1)
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (1529), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (1530) all_0_20_20 = e2
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (500,1530) yields a new equation:
% 109.23/58.18 | (1531) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 1531 yields:
% 109.23/58.18 | (798) e4 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (798) can reduce 21 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (444) ~ (all_0_20_20 = e2)
% 109.23/58.18 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (1535), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (1536) all_0_25_25 = e2
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (1698,1536) yields a new equation:
% 109.23/58.18 | (614) e3 = e2
% 109.23/58.18 |
% 109.23/58.18 | Simplifying 614 yields:
% 109.23/58.18 | (615) e3 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (615) can reduce 52 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (473) ~ (all_0_25_25 = e2)
% 109.23/58.18 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.23/58.18 |
% 109.23/58.18 +-Applying beta-rule and splitting (1539), into two cases.
% 109.23/58.18 |-Branch one:
% 109.23/58.18 | (613) all_0_30_30 = e2
% 109.23/58.18 |
% 109.23/58.18 | Equations (613) can reduce 617 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (617) ~ (all_0_30_30 = e2)
% 109.23/58.18 | (732) all_0_35_35 = e2
% 109.23/58.18 |
% 109.23/58.18 | Combining equations (761,732) yields a new equation:
% 109.23/58.18 | (621) e2 = e1
% 109.23/58.18 |
% 109.23/58.18 | Equations (621) can reduce 310 to:
% 109.23/58.18 | (400) $false
% 109.23/58.18 |
% 109.23/58.18 |-The branch is then unsatisfiable
% 109.23/58.18 |-Branch two:
% 109.23/58.18 | (2728) ~ (all_0_38_38 = e2)
% 109.23/58.19 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (3221), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (3222) all_0_38_38 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (3222) can reduce 438 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (438) ~ (all_0_38_38 = e1)
% 109.23/58.19 | (3225) all_0_38_38 = e0
% 109.23/58.19 |
% 109.23/58.19 | Equations (3225) can reduce 540 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (660) ~ (all_0_27_27 = e0)
% 109.23/58.19 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (5510), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (1125) all_0_28_28 = e0
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (854,1125) yields a new equation:
% 109.23/58.19 | (743) e4 = e0
% 109.23/58.19 |
% 109.23/58.19 | Simplifying 743 yields:
% 109.23/58.19 | (515) e4 = e0
% 109.23/58.19 |
% 109.23/58.19 | Equations (515) can reduce 267 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (758) ~ (all_0_28_28 = e0)
% 109.23/58.19 | (5206) all_0_29_29 = e0
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (4599,5206) yields a new equation:
% 109.23/58.19 | (530) e1 = e0
% 109.23/58.19 |
% 109.23/58.19 | Simplifying 530 yields:
% 109.23/58.19 | (531) e1 = e0
% 109.23/58.19 |
% 109.23/58.19 | Equations (531) can reduce 40 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (4340) ~ (all_0_34_34 = e2)
% 109.23/58.19 | (705) all_0_39_39 = e2
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (705,697) yields a new equation:
% 109.23/58.19 | (798) e4 = e2
% 109.23/58.19 |
% 109.23/58.19 | Equations (798) can reduce 21 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (883) ~ (all_0_28_28 = e4)
% 109.23/58.19 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (1840), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (1322) all_0_33_33 = e4
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.19 | (597) e4 = e3
% 109.23/58.19 |
% 109.23/58.19 | Equations (597) can reduce 255 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (594) ~ (all_0_33_33 = e4)
% 109.23/58.19 | (1846) all_0_38_38 = e4
% 109.23/58.19 |
% 109.23/58.19 | Equations (1846) can reduce 1835 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (817) ~ (all_0_17_17 = e1)
% 109.23/58.19 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (1085), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (1094) all_0_22_22 = e1
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (442,1094) yields a new equation:
% 109.23/58.19 | (620) e2 = e1
% 109.23/58.19 |
% 109.23/58.19 | Simplifying 620 yields:
% 109.23/58.19 | (621) e2 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (621) can reduce 310 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (1098) ~ (all_0_22_22 = e1)
% 109.23/58.19 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (1099), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (816) all_0_27_27 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (816) can reduce 857 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (857) ~ (all_0_27_27 = e1)
% 109.23/58.19 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (1105), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (1108) all_0_32_32 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (1108) can reduce 419 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.19 | (1112) all_0_37_37 = e1
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (1112,936) yields a new equation:
% 109.23/58.19 | (928) e3 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (928) can reduce 298 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (1138) ~ (all_0_35_35 = e1)
% 109.23/58.19 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (4931), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (4950) all_0_36_36 = e1
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (534,4950) yields a new equation:
% 109.23/58.19 | (531) e1 = e0
% 109.23/58.19 |
% 109.23/58.19 | Equations (531) can reduce 40 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (423) ~ (all_0_36_36 = e1)
% 109.23/58.19 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (4955), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (1112) all_0_37_37 = e1
% 109.23/58.19 |
% 109.23/58.19 | Combining equations (936,1112) yields a new equation:
% 109.23/58.19 | (1113) e3 = e1
% 109.23/58.19 |
% 109.23/58.19 | Simplifying 1113 yields:
% 109.23/58.19 | (928) e3 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (928) can reduce 298 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (763) ~ (all_0_37_37 = e1)
% 109.23/58.19 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (5023), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (3222) all_0_38_38 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (3222) can reduce 438 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (438) ~ (all_0_38_38 = e1)
% 109.23/58.19 | (1252) all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 696 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (2946) ~ (all_0_29_29 = e1)
% 109.23/58.19 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (11125), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (4342) all_0_34_34 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (4342) can reduce 421 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (421) ~ (all_0_34_34 = e1)
% 109.23/58.19 | (1252) all_0_39_39 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 696 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (1252) all_0_39_39 = e1
% 109.23/58.19 | (17438) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e4) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e3)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 291 to:
% 109.23/58.19 | (2946) ~ (all_0_29_29 = e1)
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 85 to:
% 109.23/58.19 | (421) ~ (all_0_34_34 = e1)
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 63 to:
% 109.23/58.19 | (1138) ~ (all_0_35_35 = e1)
% 109.23/58.19 |
% 109.23/58.19 | Equations (1252) can reduce 571 to:
% 109.23/58.19 | (824) ~ (e3 = e1)
% 109.23/58.19 |
% 109.23/58.19 | Simplifying 824 yields:
% 109.23/58.19 | (298) ~ (e3 = e1)
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (128), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (724) all_0_35_35 = e4
% 109.23/58.19 |
% 109.23/58.19 | Equations (724) can reduce 509 to:
% 109.23/58.19 | (400) $false
% 109.23/58.19 |
% 109.23/58.19 |-The branch is then unsatisfiable
% 109.23/58.19 |-Branch two:
% 109.23/58.19 | (509) ~ (all_0_35_35 = e4)
% 109.23/58.19 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.23/58.19 |
% 109.23/58.19 +-Applying beta-rule and splitting (114), into two cases.
% 109.23/58.19 |-Branch one:
% 109.23/58.19 | (969) all_0_15_15 = e1
% 109.23/58.19 |
% 109.23/58.19 | Equations (969) can reduce 344 to:
% 109.23/58.20 | (5989) ~ (all_0_17_17 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 5989 yields:
% 109.23/58.20 | (817) ~ (all_0_17_17 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (969) can reduce 90 to:
% 109.23/58.20 | (1549) ~ (all_0_18_18 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 1549 yields:
% 109.23/58.20 | (428) ~ (all_0_18_18 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (969) can reduce 3 to:
% 109.23/58.20 | (17107) ~ (all_0_30_30 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 17107 yields:
% 109.23/58.20 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (969) can reduce 572 to:
% 109.23/58.20 | (824) ~ (e3 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 824 yields:
% 109.23/58.20 | (298) ~ (e3 = e1)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (241), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (793) all_0_17_17 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (793) can reduce 456 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (456) ~ (all_0_17_17 = e4)
% 109.23/58.20 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1172), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (855) all_0_17_17 = e3
% 109.23/58.20 |
% 109.23/58.20 | Equations (855) can reduce 919 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (919) ~ (all_0_17_17 = e3)
% 109.23/58.20 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1176), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1177) all_0_17_17 = e2
% 109.23/58.20 |
% 109.23/58.20 | Equations (1177) can reduce 396 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (396) ~ (all_0_17_17 = e2)
% 109.23/58.20 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1180), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (980) all_0_17_17 = e1
% 109.23/58.20 |
% 109.23/58.20 | Equations (980) can reduce 817 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (817) ~ (all_0_17_17 = e1)
% 109.23/58.20 | (1184) all_0_17_17 = e0
% 109.23/58.20 |
% 109.23/58.20 | Equations (1184) can reduce 9 to:
% 109.23/58.20 | (10459) ~ (all_0_18_18 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 10459 yields:
% 109.23/58.20 | (1141) ~ (all_0_18_18 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (1184) can reduce 226 to:
% 109.23/58.20 | (750) ~ (all_0_27_27 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 750 yields:
% 109.23/58.20 | (660) ~ (all_0_27_27 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (1184) can reduce 242 to:
% 109.23/58.20 | (11228) ~ (all_0_32_32 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 11228 yields:
% 109.23/58.20 | (889) ~ (all_0_32_32 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (1184) can reduce 919 to:
% 109.23/58.20 | (665) ~ (e3 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 665 yields:
% 109.23/58.20 | (80) ~ (e3 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (1184) can reduce 817 to:
% 109.23/58.20 | (498) ~ (e1 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 498 yields:
% 109.23/58.20 | (40) ~ (e1 = e0)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (249), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (980) all_0_17_17 = e1
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (1184,980) yields a new equation:
% 109.23/58.20 | (531) e1 = e0
% 109.23/58.20 |
% 109.23/58.20 | Equations (531) can reduce 40 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (817) ~ (all_0_17_17 = e1)
% 109.23/58.20 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1085), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1094) all_0_22_22 = e1
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (442,1094) yields a new equation:
% 109.23/58.20 | (620) e2 = e1
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 620 yields:
% 109.23/58.20 | (621) e2 = e1
% 109.23/58.20 |
% 109.23/58.20 | Equations (621) can reduce 310 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (1098) ~ (all_0_22_22 = e1)
% 109.23/58.20 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1099), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (816) all_0_27_27 = e1
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 337 to:
% 109.23/58.20 | (433) ~ (all_0_28_28 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 433 yields:
% 109.23/58.20 | (434) ~ (all_0_28_28 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 53 to:
% 109.23/58.20 | (5048) ~ (all_0_29_29 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 5048 yields:
% 109.23/58.20 | (2946) ~ (all_0_29_29 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 170 to:
% 109.23/58.20 | (418) ~ (all_0_32_32 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 418 yields:
% 109.23/58.20 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 573 to:
% 109.23/58.20 | (824) ~ (e3 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 824 yields:
% 109.23/58.20 | (298) ~ (e3 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 660 to:
% 109.23/58.20 | (40) ~ (e1 = e0)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (236), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (609) all_0_32_32 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (609) can reduce 301 to:
% 109.23/58.20 | (507) ~ (all_0_30_30 = e4)
% 109.23/58.20 |
% 109.23/58.20 | Equations (609) can reduce 132 to:
% 109.23/58.20 | (2566) ~ (all_0_34_34 = e4)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 2566 yields:
% 109.23/58.20 | (2554) ~ (all_0_34_34 = e4)
% 109.23/58.20 |
% 109.23/58.20 | Equations (609) can reduce 579 to:
% 109.23/58.20 | (255) ~ (e4 = e3)
% 109.23/58.20 |
% 109.23/58.20 | Equations (609) can reduce 419 to:
% 109.23/58.20 | (56) ~ (e4 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (609) can reduce 889 to:
% 109.23/58.20 | (267) ~ (e4 = e0)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (250), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1151) all_0_19_19 = e4
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (1151,1159) yields a new equation:
% 109.23/58.20 | (596) e4 = e3
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 596 yields:
% 109.23/58.20 | (597) e4 = e3
% 109.23/58.20 |
% 109.23/58.20 | Equations (597) can reduce 255 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (460) ~ (all_0_19_19 = e4)
% 109.23/58.20 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (1159) can reduce 460 to:
% 109.23/58.20 | (558) ~ (e4 = e3)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 558 yields:
% 109.23/58.20 | (255) ~ (e4 = e3)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (304), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (646) all_0_30_30 = e0
% 109.23/58.20 |
% 109.23/58.20 | Equations (646) can reduce 507 to:
% 109.23/58.20 | (543) ~ (e4 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 543 yields:
% 109.23/58.20 | (267) ~ (e4 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (646) can reduce 1800 to:
% 109.23/58.20 | (665) ~ (e3 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 665 yields:
% 109.23/58.20 | (80) ~ (e3 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Equations (646) can reduce 417 to:
% 109.23/58.20 | (498) ~ (e1 = e0)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 498 yields:
% 109.23/58.20 | (40) ~ (e1 = e0)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (2780), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (2956) all_0_24_24 = e4
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (2956,488) yields a new equation:
% 109.23/58.20 | (743) e4 = e0
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 743 yields:
% 109.23/58.20 | (515) e4 = e0
% 109.23/58.20 |
% 109.23/58.20 | Equations (515) can reduce 267 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (2960) ~ (all_0_24_24 = e4)
% 109.23/58.20 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (2961), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (941) all_0_29_29 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (941) can reduce 3115 to:
% 109.23/58.20 | (255) ~ (e4 = e3)
% 109.23/58.20 |
% 109.23/58.20 | Equations (941) can reduce 2946 to:
% 109.23/58.20 | (56) ~ (e4 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (941) can reduce 493 to:
% 109.23/58.20 | (267) ~ (e4 = e0)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (248), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (724) all_0_35_35 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (724) can reduce 509 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (509) ~ (all_0_35_35 = e4)
% 109.23/58.20 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (147), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1008) all_0_18_18 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (1008) can reduce 458 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.20 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (286), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (857) ~ (all_0_27_27 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Equations (816) can reduce 857 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (816) all_0_27_27 = e1
% 109.23/58.20 | (10443) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e0) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e4))
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (168), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1163) all_0_19_19 = e2
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (1163,1159) yields a new equation:
% 109.23/58.20 | (615) e3 = e2
% 109.23/58.20 |
% 109.23/58.20 | Equations (615) can reduce 52 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (706) ~ (all_0_19_19 = e2)
% 109.23/58.20 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (342), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1008) all_0_18_18 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (1008) can reduce 458 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.20 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1091), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (2975) all_0_36_36 = e4
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (534,2975) yields a new equation:
% 109.23/58.20 | (515) e4 = e0
% 109.23/58.20 |
% 109.23/58.20 | Equations (515) can reduce 267 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (466) ~ (all_0_36_36 = e4)
% 109.23/58.20 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1012), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1022) all_0_23_23 = e4
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (1022,427) yields a new equation:
% 109.23/58.20 | (975) e4 = e1
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 975 yields:
% 109.23/58.20 | (838) e4 = e1
% 109.23/58.20 |
% 109.23/58.20 | Equations (838) can reduce 56 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (1025) ~ (all_0_23_23 = e4)
% 109.23/58.20 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.23/58.20 |
% 109.23/58.20 | Equations (427) can reduce 1025 to:
% 109.23/58.20 | (764) ~ (e4 = e1)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 764 yields:
% 109.23/58.20 | (56) ~ (e4 = e1)
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1146), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1147) all_0_18_18 = e3
% 109.23/58.20 |
% 109.23/58.20 | Equations (1147) can reduce 1189 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (1189) ~ (all_0_18_18 = e3)
% 109.23/58.20 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (2979), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (847) all_0_37_37 = e4
% 109.23/58.20 |
% 109.23/58.20 | Combining equations (847,936) yields a new equation:
% 109.23/58.20 | (596) e4 = e3
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 596 yields:
% 109.23/58.20 | (597) e4 = e3
% 109.23/58.20 |
% 109.23/58.20 | Equations (597) can reduce 255 to:
% 109.23/58.20 | (400) $false
% 109.23/58.20 |
% 109.23/58.20 |-The branch is then unsatisfiable
% 109.23/58.20 |-Branch two:
% 109.23/58.20 | (1002) ~ (all_0_37_37 = e4)
% 109.23/58.20 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.20 |
% 109.23/58.20 +-Applying beta-rule and splitting (1190), into two cases.
% 109.23/58.20 |-Branch one:
% 109.23/58.20 | (1191) all_0_18_18 = e2
% 109.23/58.20 |
% 109.23/58.20 | Equations (1191) can reduce 302 to:
% 109.23/58.20 | (476) ~ (all_0_28_28 = e2)
% 109.23/58.20 |
% 109.23/58.20 | Simplifying 476 yields:
% 109.23/58.20 | (477) ~ (all_0_28_28 = e2)
% 109.23/58.20 |
% 109.23/58.20 | Equations (1191) can reduce 38 to:
% 109.23/58.21 | (2727) ~ (all_0_38_38 = e2)
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 2727 yields:
% 109.23/58.21 | (2728) ~ (all_0_38_38 = e2)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1191) can reduce 428 to:
% 109.23/58.21 | (310) ~ (e2 = e1)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1191) can reduce 1141 to:
% 109.23/58.21 | (336) ~ (e2 = e0)
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (8), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (679) ~ (all_0_15_15 = e1)
% 109.23/58.21 |
% 109.23/58.21 | Equations (969) can reduce 679 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (969) all_0_15_15 = e1
% 109.23/58.21 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (2983), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1846) all_0_38_38 = e4
% 109.23/58.21 |
% 109.23/58.21 | Equations (1846) can reduce 3095 to:
% 109.23/58.21 | (255) ~ (e4 = e3)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1846) can reduce 2728 to:
% 109.23/58.21 | (21) ~ (e4 = e2)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1846) can reduce 540 to:
% 109.23/58.21 | (267) ~ (e4 = e0)
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (203), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (696) ~ (all_0_39_39 = e1)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1252) can reduce 696 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (1252) all_0_39_39 = e1
% 109.23/58.21 | (2990) (all_0_1_1 = all_0_38_38 & ~ (all_0_0_0 = e3) & op(all_0_38_38, e0) = all_0_0_0) | (all_0_1_1 = all_0_38_38 & ~ (all_0_38_38 = e4)) | (all_0_2_2 = all_0_34_34 & ~ (all_0_34_34 = e2))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (93), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (749) all_0_25_25 = e0
% 109.23/58.21 |
% 109.23/58.21 | Combining equations (1698,749) yields a new equation:
% 109.23/58.21 | (647) e3 = e0
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 647 yields:
% 109.23/58.21 | (648) e3 = e0
% 109.23/58.21 |
% 109.23/58.21 | Equations (648) can reduce 80 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (1054) ~ (all_0_25_25 = e0)
% 109.23/58.21 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (5498), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (523) all_0_26_26 = e0
% 109.23/58.21 |
% 109.23/58.21 | Combining equations (471,523) yields a new equation:
% 109.23/58.21 | (524) e2 = e0
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 524 yields:
% 109.23/58.21 | (525) e2 = e0
% 109.23/58.21 |
% 109.23/58.21 | Equations (525) can reduce 336 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (527) ~ (all_0_26_26 = e0)
% 109.23/58.21 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (5504), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (995) all_0_27_27 = e0
% 109.23/58.21 |
% 109.23/58.21 | Combining equations (816,995) yields a new equation:
% 109.23/58.21 | (530) e1 = e0
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 530 yields:
% 109.23/58.21 | (531) e1 = e0
% 109.23/58.21 |
% 109.23/58.21 | Equations (531) can reduce 40 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (660) ~ (all_0_27_27 = e0)
% 109.23/58.21 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (5510), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1125) all_0_28_28 = e0
% 109.23/58.21 |
% 109.23/58.21 | Equations (1125) can reduce 893 to:
% 109.23/58.21 | (665) ~ (e3 = e0)
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 665 yields:
% 109.23/58.21 | (80) ~ (e3 = e0)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1125) can reduce 477 to:
% 109.23/58.21 | (496) ~ (e2 = e0)
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 496 yields:
% 109.23/58.21 | (336) ~ (e2 = e0)
% 109.23/58.21 |
% 109.23/58.21 | Equations (1125) can reduce 434 to:
% 109.23/58.21 | (498) ~ (e1 = e0)
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 498 yields:
% 109.23/58.21 | (40) ~ (e1 = e0)
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (7045), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (7046) all_0_24_24 = e2
% 109.23/58.21 |
% 109.23/58.21 | Combining equations (7046,488) yields a new equation:
% 109.23/58.21 | (524) e2 = e0
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 524 yields:
% 109.23/58.21 | (525) e2 = e0
% 109.23/58.21 |
% 109.23/58.21 | Equations (525) can reduce 336 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (446) ~ (all_0_24_24 = e2)
% 109.23/58.21 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (197), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (679) ~ (all_0_15_15 = e1)
% 109.23/58.21 |
% 109.23/58.21 | Equations (969) can reduce 679 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (969) all_0_15_15 = e1
% 109.23/58.21 | (14793) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e2) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (7050), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (5199) all_0_29_29 = e2
% 109.23/58.21 |
% 109.23/58.21 | Combining equations (941,5199) yields a new equation:
% 109.23/58.21 | (1531) e4 = e2
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 1531 yields:
% 109.23/58.21 | (798) e4 = e2
% 109.23/58.21 |
% 109.23/58.21 | Equations (798) can reduce 21 to:
% 109.23/58.21 | (400) $false
% 109.23/58.21 |
% 109.23/58.21 |-The branch is then unsatisfiable
% 109.23/58.21 |-Branch two:
% 109.23/58.21 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.21 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (7056), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (2551) all_0_34_34 = e2
% 109.23/58.21 |
% 109.23/58.21 | Equations (2551) can reduce 583 to:
% 109.23/58.21 | (643) ~ (e3 = e2)
% 109.23/58.21 |
% 109.23/58.21 | Simplifying 643 yields:
% 109.23/58.21 | (52) ~ (e3 = e2)
% 109.23/58.21 |
% 109.23/58.21 | Equations (2551) can reduce 421 to:
% 109.23/58.21 | (310) ~ (e2 = e1)
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (251), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1278), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1279), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1280), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1281), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1282), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1283), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1284), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1285), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1286), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1287), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1288), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1289), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1290), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.23/58.21 |
% 109.23/58.21 +-Applying beta-rule and splitting (1291), into two cases.
% 109.23/58.21 |-Branch one:
% 109.23/58.21 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.23/58.21 |
% 109.23/58.22 +-Applying beta-rule and splitting (1292), into two cases.
% 109.23/58.22 |-Branch one:
% 109.23/58.22 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.23/58.22 |
% 109.23/58.22 +-Applying beta-rule and splitting (1293), into two cases.
% 109.23/58.22 |-Branch one:
% 109.23/58.22 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.23/58.22 |
% 109.23/58.22 +-Applying beta-rule and splitting (1294), into two cases.
% 109.23/58.22 |-Branch one:
% 109.23/58.22 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.23/58.22 |
% 109.23/58.22 +-Applying beta-rule and splitting (1295), into two cases.
% 109.23/58.22 |-Branch one:
% 109.23/58.22 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1296) yields:
% 109.23/58.22 | (1297) all_0_15_15 = e3
% 109.23/58.22 | (550) all_0_21_21 = e4
% 109.23/58.22 | (1299) ~ (all_0_16_16 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1297,969) yields a new equation:
% 109.23/58.22 | (1113) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 1113 yields:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (928) can reduce 298 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1303) yields:
% 109.23/58.22 | (1297) all_0_15_15 = e3
% 109.23/58.22 | (550) all_0_21_21 = e4
% 109.23/58.22 | (1306) ~ (all_0_20_20 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1297,969) yields a new equation:
% 109.23/58.22 | (1113) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 1113 yields:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (928) can reduce 298 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1310) yields:
% 109.23/58.22 | (711) all_0_15_15 = e2
% 109.23/58.22 | (804) all_0_27_27 = e4
% 109.23/58.22 | (456) ~ (all_0_17_17 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (711,969) yields a new equation:
% 109.23/58.22 | (620) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 620 yields:
% 109.23/58.22 | (621) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (621) can reduce 310 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1315) yields:
% 109.23/58.22 | (711) all_0_15_15 = e2
% 109.23/58.22 | (804) all_0_27_27 = e4
% 109.23/58.22 | (473) ~ (all_0_25_25 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (711,969) yields a new equation:
% 109.23/58.22 | (620) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 620 yields:
% 109.23/58.22 | (621) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (621) can reduce 310 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1320) yields:
% 109.23/58.22 | (969) all_0_15_15 = e1
% 109.23/58.22 | (1322) all_0_33_33 = e4
% 109.23/58.22 | (458) ~ (all_0_18_18 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.22 | (597) e4 = e3
% 109.23/58.22 |
% 109.23/58.22 | Equations (597) can reduce 255 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1326) yields:
% 109.23/58.22 | (969) all_0_15_15 = e1
% 109.23/58.22 | (1322) all_0_33_33 = e4
% 109.23/58.22 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1360,1322) yields a new equation:
% 109.23/58.22 | (597) e4 = e3
% 109.23/58.22 |
% 109.23/58.22 | Equations (597) can reduce 255 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1332) yields:
% 109.23/58.22 | (736) all_0_15_15 = e0
% 109.23/58.22 | (697) all_0_39_39 = e4
% 109.23/58.22 | (460) ~ (all_0_19_19 = e4)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (736,969) yields a new equation:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1339) yields:
% 109.23/58.22 | (736) all_0_15_15 = e0
% 109.23/58.22 | (697) all_0_39_39 = e4
% 109.23/58.22 | (536) ~ (all_0_35_35 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (736,969) yields a new equation:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1346) yields:
% 109.23/58.22 | (1347) all_0_21_21 = e2
% 109.23/58.22 | (808) all_0_27_27 = e3
% 109.23/58.22 | (925) ~ (all_0_22_22 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1347,557) yields a new equation:
% 109.23/58.22 | (615) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (816,808) yields a new equation:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (928,615) yields a new equation:
% 109.23/58.22 | (621) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (621) can reduce 310 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1352) yields:
% 109.23/58.22 | (1347) all_0_21_21 = e2
% 109.23/58.22 | (808) all_0_27_27 = e3
% 109.23/58.22 | (1355) ~ (all_0_26_26 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1347,557) yields a new equation:
% 109.23/58.22 | (615) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (816,808) yields a new equation:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (928,615) yields a new equation:
% 109.23/58.22 | (621) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (621) can reduce 310 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1358) yields:
% 109.23/58.22 | (1359) all_0_21_21 = e1
% 109.23/58.22 | (1360) all_0_33_33 = e3
% 109.23/58.22 | (1361) ~ (all_0_23_23 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1359,557) yields a new equation:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (928) can reduce 298 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1367) yields:
% 109.23/58.22 | (1359) all_0_21_21 = e1
% 109.23/58.22 | (1360) all_0_33_33 = e3
% 109.23/58.22 | (1370) ~ (all_0_31_31 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1359,557) yields a new equation:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (928) can reduce 298 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1376) yields:
% 109.23/58.22 | (519) all_0_21_21 = e0
% 109.23/58.22 | (701) all_0_39_39 = e3
% 109.23/58.22 | (1379) ~ (all_0_24_24 = e3)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (519,557) yields a new equation:
% 109.23/58.22 | (648) e3 = e0
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (701,1252) yields a new equation:
% 109.23/58.22 | (1113) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 1113 yields:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (928,648) yields a new equation:
% 109.23/58.22 | (530) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 530 yields:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1385) yields:
% 109.23/58.22 | (519) all_0_21_21 = e0
% 109.23/58.22 | (701) all_0_39_39 = e3
% 109.23/58.22 | (1388) ~ (all_0_36_36 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (519,557) yields a new equation:
% 109.23/58.22 | (648) e3 = e0
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (701,1252) yields a new equation:
% 109.23/58.22 | (1113) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 1113 yields:
% 109.23/58.22 | (928) e3 = e1
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (928,648) yields a new equation:
% 109.23/58.22 | (530) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 530 yields:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1394) yields:
% 109.23/58.22 | (816) all_0_27_27 = e1
% 109.23/58.22 | (637) all_0_33_33 = e2
% 109.23/58.22 | (477) ~ (all_0_28_28 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1360,637) yields a new equation:
% 109.23/58.22 | (614) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 614 yields:
% 109.23/58.22 | (615) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Equations (615) can reduce 52 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1421) yields:
% 109.23/58.22 | (816) all_0_27_27 = e1
% 109.23/58.22 | (637) all_0_33_33 = e2
% 109.23/58.22 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1360,637) yields a new equation:
% 109.23/58.22 | (614) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 614 yields:
% 109.23/58.22 | (615) e3 = e2
% 109.23/58.22 |
% 109.23/58.22 | Equations (615) can reduce 52 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1448) yields:
% 109.23/58.22 | (995) all_0_27_27 = e0
% 109.23/58.22 | (705) all_0_39_39 = e2
% 109.23/58.22 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (995,816) yields a new equation:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1455) yields:
% 109.23/58.22 | (995) all_0_27_27 = e0
% 109.23/58.22 | (705) all_0_39_39 = e2
% 109.23/58.22 | (538) ~ (all_0_37_37 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (995,816) yields a new equation:
% 109.23/58.22 | (531) e1 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (531) can reduce 40 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1462) yields:
% 109.23/58.22 | (1463) all_0_33_33 = e0
% 109.23/58.22 | (1252) all_0_39_39 = e1
% 109.23/58.22 | (421) ~ (all_0_34_34 = e1)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1463,1360) yields a new equation:
% 109.23/58.22 | (648) e3 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (648) can reduce 80 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Applying alpha-rule on (1469) yields:
% 109.23/58.22 | (1463) all_0_33_33 = e0
% 109.23/58.22 | (1252) all_0_39_39 = e1
% 109.23/58.22 | (540) ~ (all_0_38_38 = e0)
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1463,1360) yields a new equation:
% 109.23/58.22 | (648) e3 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (648) can reduce 80 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (4340) ~ (all_0_34_34 = e2)
% 109.23/58.22 | (705) all_0_39_39 = e2
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (1252,705) yields a new equation:
% 109.23/58.22 | (621) e2 = e1
% 109.23/58.22 |
% 109.23/58.22 | Equations (621) can reduce 310 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.22 |-Branch two:
% 109.23/58.22 | (758) ~ (all_0_28_28 = e0)
% 109.23/58.22 | (5206) all_0_29_29 = e0
% 109.23/58.22 |
% 109.23/58.22 | Combining equations (941,5206) yields a new equation:
% 109.23/58.22 | (743) e4 = e0
% 109.23/58.22 |
% 109.23/58.22 | Simplifying 743 yields:
% 109.23/58.22 | (515) e4 = e0
% 109.23/58.22 |
% 109.23/58.22 | Equations (515) can reduce 267 to:
% 109.23/58.22 | (400) $false
% 109.23/58.22 |
% 109.23/58.22 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.23 | (697) all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (697,1252) yields a new equation:
% 109.23/58.23 | (975) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 975 yields:
% 109.23/58.23 | (838) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (838) can reduce 56 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (638) ~ (all_0_18_18 = e2)
% 109.23/58.23 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1194), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (984) all_0_18_18 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (984) can reduce 428 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (428) ~ (all_0_18_18 = e1)
% 109.23/58.23 | (756) all_0_18_18 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (756) can reduce 1141 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (603) ~ (all_0_29_29 = e4)
% 109.23/58.23 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (3061), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (601) all_0_34_34 = e4
% 109.23/58.23 |
% 109.23/58.23 | Equations (601) can reduce 2554 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (2554) ~ (all_0_34_34 = e4)
% 109.23/58.23 | (697) all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (697,1252) yields a new equation:
% 109.23/58.23 | (975) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 975 yields:
% 109.23/58.23 | (838) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (838) can reduce 56 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (650) ~ (all_0_30_30 = e0)
% 109.23/58.23 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (248), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (724) all_0_35_35 = e4
% 109.23/58.23 |
% 109.23/58.23 | Equations (724) can reduce 509 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (509) ~ (all_0_35_35 = e4)
% 109.23/58.23 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1091), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (2975) all_0_36_36 = e4
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (534,2975) yields a new equation:
% 109.23/58.23 | (515) e4 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (515) can reduce 267 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (466) ~ (all_0_36_36 = e4)
% 109.23/58.23 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (2979), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (847) all_0_37_37 = e4
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (847,936) yields a new equation:
% 109.23/58.23 | (596) e4 = e3
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 596 yields:
% 109.23/58.23 | (597) e4 = e3
% 109.23/58.23 |
% 109.23/58.23 | Equations (597) can reduce 255 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1002) ~ (all_0_37_37 = e4)
% 109.23/58.23 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (123), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (736) all_0_15_15 = e0
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (736,969) yields a new equation:
% 109.23/58.23 | (531) e1 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (531) can reduce 40 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (739) ~ (all_0_15_15 = e0)
% 109.23/58.23 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (2983), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1846) all_0_38_38 = e4
% 109.23/58.23 |
% 109.23/58.23 | Equations (1846) can reduce 540 to:
% 109.23/58.23 | (267) ~ (e4 = e0)
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (740), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (742) all_0_20_20 = e0
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (500,742) yields a new equation:
% 109.23/58.23 | (743) e4 = e0
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 743 yields:
% 109.23/58.23 | (515) e4 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (515) can reduce 267 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (490) ~ (all_0_20_20 = e0)
% 109.23/58.23 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (747), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (749) all_0_25_25 = e0
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (1698,749) yields a new equation:
% 109.23/58.23 | (647) e3 = e0
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 647 yields:
% 109.23/58.23 | (648) e3 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (648) can reduce 80 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1054) ~ (all_0_25_25 = e0)
% 109.23/58.23 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1201), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (646) all_0_30_30 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (646) can reduce 650 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (650) ~ (all_0_30_30 = e0)
% 109.23/58.23 | (1139) all_0_35_35 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (1139) can reduce 536 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1835) ~ (all_0_38_38 = e4)
% 109.23/58.23 | (697) all_0_39_39 = e4
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (1252,697) yields a new equation:
% 109.23/58.23 | (838) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (838) can reduce 56 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (604) ~ (all_0_32_32 = e4)
% 109.23/58.23 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (612), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (629) all_0_32_32 = e3
% 109.23/58.23 |
% 109.23/58.23 | Equations (629) can reduce 579 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (579) ~ (all_0_32_32 = e3)
% 109.23/58.23 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (632), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (625) all_0_32_32 = e2
% 109.23/58.23 |
% 109.23/58.23 | Equations (625) can reduce 448 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (448) ~ (all_0_32_32 = e2)
% 109.23/58.23 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (636), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1108) all_0_32_32 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (1108) can reduce 419 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.23 | (658) all_0_32_32 = e0
% 109.23/58.23 |
% 109.23/58.23 | Equations (658) can reduce 889 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (857) ~ (all_0_27_27 = e1)
% 109.23/58.23 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1105), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1108) all_0_32_32 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (1108) can reduce 419 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (419) ~ (all_0_32_32 = e1)
% 109.23/58.23 | (1112) all_0_37_37 = e1
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (936,1112) yields a new equation:
% 109.23/58.23 | (1113) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 1113 yields:
% 109.23/58.23 | (928) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (928) can reduce 298 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (679) ~ (all_0_15_15 = e1)
% 109.23/58.23 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (43), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1495) all_0_25_25 = e1
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (1698,1495) yields a new equation:
% 109.23/58.23 | (1113) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 1113 yields:
% 109.23/58.23 | (928) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (928) can reduce 298 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1519) ~ (all_0_25_25 = e1)
% 109.23/58.23 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (1698) can reduce 1519 to:
% 109.23/58.23 | (298) ~ (e3 = e1)
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (88), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (941) all_0_29_29 = e4
% 109.23/58.23 |
% 109.23/58.23 | Equations (941) can reduce 2946 to:
% 109.23/58.23 | (56) ~ (e4 = e1)
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1402), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1490) all_0_20_20 = e1
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (500,1490) yields a new equation:
% 109.23/58.23 | (975) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 975 yields:
% 109.23/58.23 | (838) e4 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (838) can reduce 56 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (429) ~ (all_0_20_20 = e1)
% 109.23/58.23 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1494), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1495) all_0_25_25 = e1
% 109.23/58.23 |
% 109.23/58.23 | Combining equations (1698,1495) yields a new equation:
% 109.23/58.23 | (1113) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Simplifying 1113 yields:
% 109.23/58.23 | (928) e3 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (928) can reduce 298 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (1519) ~ (all_0_25_25 = e1)
% 109.23/58.23 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (1520), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (1521) all_0_30_30 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (1521) can reduce 417 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (417) ~ (all_0_30_30 = e1)
% 109.23/58.23 | (761) all_0_35_35 = e1
% 109.23/58.23 |
% 109.23/58.23 | Equations (761) can reduce 1138 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (603) ~ (all_0_29_29 = e4)
% 109.23/58.23 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (5059), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (3056) all_0_29_29 = e3
% 109.23/58.23 |
% 109.23/58.23 | Equations (3056) can reduce 3115 to:
% 109.23/58.23 | (400) $false
% 109.23/58.23 |
% 109.23/58.23 |-The branch is then unsatisfiable
% 109.23/58.23 |-Branch two:
% 109.23/58.23 | (3115) ~ (all_0_29_29 = e3)
% 109.23/58.23 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.23/58.23 |
% 109.23/58.23 +-Applying beta-rule and splitting (5198), into two cases.
% 109.23/58.23 |-Branch one:
% 109.23/58.23 | (5199) all_0_29_29 = e2
% 109.23/58.23 |
% 109.23/58.24 | Equations (5199) can reduce 479 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (479) ~ (all_0_29_29 = e2)
% 109.23/58.24 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (5202), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (4599) all_0_29_29 = e1
% 109.23/58.24 |
% 109.23/58.24 | Equations (4599) can reduce 2946 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (2946) ~ (all_0_29_29 = e1)
% 109.23/58.24 | (5206) all_0_29_29 = e0
% 109.23/58.24 |
% 109.23/58.24 | Equations (5206) can reduce 493 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (577) ~ (all_0_25_25 = e3)
% 109.23/58.24 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (142), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (855) all_0_17_17 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (855) can reduce 919 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (919) ~ (all_0_17_17 = e3)
% 109.23/58.24 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (920), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (921) all_0_22_22 = e3
% 109.23/58.24 |
% 109.23/58.24 | Combining equations (921,442) yields a new equation:
% 109.23/58.24 | (614) e3 = e2
% 109.23/58.24 |
% 109.23/58.24 | Simplifying 614 yields:
% 109.23/58.24 | (615) e3 = e2
% 109.23/58.24 |
% 109.23/58.24 | Equations (615) can reduce 52 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (925) ~ (all_0_22_22 = e3)
% 109.23/58.24 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (442) can reduce 925 to:
% 109.23/58.24 | (643) ~ (e3 = e2)
% 109.23/58.24 |
% 109.23/58.24 | Simplifying 643 yields:
% 109.23/58.24 | (52) ~ (e3 = e2)
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (3006), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (3007) all_0_26_26 = e3
% 109.23/58.24 |
% 109.23/58.24 | Combining equations (471,3007) yields a new equation:
% 109.23/58.24 | (615) e3 = e2
% 109.23/58.24 |
% 109.23/58.24 | Equations (615) can reduce 52 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (3010) ~ (all_0_26_26 = e3)
% 109.23/58.24 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (3011), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (808) all_0_27_27 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (808) can reduce 573 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (573) ~ (all_0_27_27 = e3)
% 109.23/58.24 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (3016), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (1106) all_0_28_28 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (1106) can reduce 893 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (893) ~ (all_0_28_28 = e3)
% 109.23/58.24 | (3056) all_0_29_29 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (3056) can reduce 3115 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (1150) ~ (all_0_19_19 = e3)
% 109.23/58.24 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (198), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (1297) all_0_15_15 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (1297) can reduce 572 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (572) ~ (all_0_15_15 = e3)
% 109.23/58.24 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (4772), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (4773) all_0_24_24 = e3
% 109.23/58.24 |
% 109.23/58.24 | Combining equations (488,4773) yields a new equation:
% 109.23/58.24 | (648) e3 = e0
% 109.23/58.24 |
% 109.23/58.24 | Equations (648) can reduce 80 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (1379) ~ (all_0_24_24 = e3)
% 109.23/58.24 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (2769), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (3117) all_0_16_16 = e3
% 109.23/58.24 |
% 109.23/58.24 | Combining equations (3117,454) yields a new equation:
% 109.23/58.24 | (597) e4 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (597) can reduce 255 to:
% 109.23/58.24 | (400) $false
% 109.23/58.24 |
% 109.23/58.24 |-The branch is then unsatisfiable
% 109.23/58.24 |-Branch two:
% 109.23/58.24 | (3121) ~ (all_0_16_16 = e3)
% 109.23/58.24 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.23/58.24 |
% 109.23/58.24 +-Applying beta-rule and splitting (3122), into two cases.
% 109.23/58.24 |-Branch one:
% 109.23/58.24 | (855) all_0_17_17 = e3
% 109.23/58.24 |
% 109.23/58.24 | Equations (855) can reduce 9 to:
% 109.23/58.24 | (1719) ~ (all_0_18_18 = e3)
% 109.23/58.24 |
% 109.23/58.24 | Simplifying 1719 yields:
% 109.23/58.24 | (1189) ~ (all_0_18_18 = e3)
% 109.23/58.24 |
% 109.23/58.24 | Equations (855) can reduce 242 to:
% 109.23/58.24 | (578) ~ (all_0_32_32 = e3)
% 109.23/58.24 |
% 109.23/58.24 | Simplifying 578 yields:
% 109.23/58.24 | (579) ~ (all_0_32_32 = e3)
% 109.23/58.24 |
% 109.23/58.24 | Equations (855) can reduce 282 to:
% 109.23/58.24 | (6232) ~ (all_0_37_37 = e3)
% 109.23/58.24 |
% 109.34/58.24 | Simplifying 6232 yields:
% 109.34/58.24 | (1127) ~ (all_0_37_37 = e3)
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (4777), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (3056) all_0_29_29 = e3
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 174 to:
% 109.34/58.24 | (1150) ~ (all_0_19_19 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 47 to:
% 109.34/58.24 | (893) ~ (all_0_28_28 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 84 to:
% 109.34/58.24 | (582) ~ (all_0_34_34 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Simplifying 582 yields:
% 109.34/58.24 | (583) ~ (all_0_34_34 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 291 to:
% 109.34/58.24 | (10723) ~ (all_0_39_39 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Simplifying 10723 yields:
% 109.34/58.24 | (571) ~ (all_0_39_39 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 479 to:
% 109.34/58.24 | (52) ~ (e3 = e2)
% 109.34/58.24 |
% 109.34/58.24 | Equations (3056) can reduce 493 to:
% 109.34/58.24 | (80) ~ (e3 = e0)
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (254), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (728) all_0_35_35 = e3
% 109.34/58.24 |
% 109.34/58.24 | Equations (728) can reduce 39 to:
% 109.34/58.24 | (572) ~ (all_0_15_15 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (728) can reduce 15 to:
% 109.34/58.24 | (1800) ~ (all_0_30_30 = e3)
% 109.34/58.24 |
% 109.34/58.24 | Equations (728) can reduce 536 to:
% 109.34/58.24 | (80) ~ (e3 = e0)
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (116), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (769) ~ (all_0_15_15 = e2)
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (179), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (711) all_0_15_15 = e2
% 109.34/58.24 |
% 109.34/58.24 | Equations (711) can reduce 769 to:
% 109.34/58.24 | (400) $false
% 109.34/58.24 |
% 109.34/58.24 |-The branch is then unsatisfiable
% 109.34/58.24 |-Branch two:
% 109.34/58.24 | (769) ~ (all_0_15_15 = e2)
% 109.34/58.24 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (1529), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (1530) all_0_20_20 = e2
% 109.34/58.24 |
% 109.34/58.24 | Combining equations (1530,500) yields a new equation:
% 109.34/58.24 | (798) e4 = e2
% 109.34/58.24 |
% 109.34/58.24 | Equations (798) can reduce 21 to:
% 109.34/58.24 | (400) $false
% 109.34/58.24 |
% 109.34/58.24 |-The branch is then unsatisfiable
% 109.34/58.24 |-Branch two:
% 109.34/58.24 | (444) ~ (all_0_20_20 = e2)
% 109.34/58.24 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (1535), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (1536) all_0_25_25 = e2
% 109.34/58.24 |
% 109.34/58.24 | Equations (1536) can reduce 473 to:
% 109.34/58.24 | (400) $false
% 109.34/58.24 |
% 109.34/58.24 |-The branch is then unsatisfiable
% 109.34/58.24 |-Branch two:
% 109.34/58.24 | (473) ~ (all_0_25_25 = e2)
% 109.34/58.24 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.34/58.24 |
% 109.34/58.24 +-Applying beta-rule and splitting (1539), into two cases.
% 109.34/58.24 |-Branch one:
% 109.34/58.24 | (613) all_0_30_30 = e2
% 109.34/58.24 |
% 109.34/58.24 | Equations (613) can reduce 3 to:
% 109.34/58.24 | (769) ~ (all_0_15_15 = e2)
% 109.34/58.24 |
% 109.34/58.24 | Equations (613) can reduce 301 to:
% 109.34/58.24 | (447) ~ (all_0_32_32 = e2)
% 109.34/58.24 |
% 109.34/58.24 | Simplifying 447 yields:
% 109.34/58.24 | (448) ~ (all_0_32_32 = e2)
% 109.34/58.24 |
% 109.34/58.24 | Equations (613) can reduce 202 to:
% 109.34/58.24 | (11182) ~ (all_0_34_34 = e2)
% 109.34/58.24 |
% 109.34/58.25 | Simplifying 11182 yields:
% 109.34/58.25 | (4340) ~ (all_0_34_34 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Equations (613) can reduce 1800 to:
% 109.34/58.25 | (643) ~ (e3 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Simplifying 643 yields:
% 109.34/58.25 | (52) ~ (e3 = e2)
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (263), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (601) all_0_34_34 = e4
% 109.34/58.25 |
% 109.34/58.25 | Equations (601) can reduce 132 to:
% 109.34/58.25 | (604) ~ (all_0_32_32 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Equations (601) can reduce 85 to:
% 109.34/58.25 | (606) ~ (all_0_39_39 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Simplifying 606 yields:
% 109.34/58.25 | (607) ~ (all_0_39_39 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Equations (601) can reduce 583 to:
% 109.34/58.25 | (255) ~ (e4 = e3)
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (251), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1278), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1279), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1280), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1281), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1282), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1283), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1284), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1285), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1286), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1287), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1288), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1289), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1290), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1291), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1292), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1293), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1294), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.34/58.25 |
% 109.34/58.25 +-Applying beta-rule and splitting (1295), into two cases.
% 109.34/58.25 |-Branch one:
% 109.34/58.25 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1296) yields:
% 109.34/58.25 | (1297) all_0_15_15 = e3
% 109.34/58.25 | (550) all_0_21_21 = e4
% 109.34/58.25 | (1299) ~ (all_0_16_16 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (557,550) yields a new equation:
% 109.34/58.25 | (597) e4 = e3
% 109.34/58.25 |
% 109.34/58.25 | Equations (597) can reduce 255 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1303) yields:
% 109.34/58.25 | (1297) all_0_15_15 = e3
% 109.34/58.25 | (550) all_0_21_21 = e4
% 109.34/58.25 | (1306) ~ (all_0_20_20 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (557,550) yields a new equation:
% 109.34/58.25 | (597) e4 = e3
% 109.34/58.25 |
% 109.34/58.25 | Equations (597) can reduce 255 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1310) yields:
% 109.34/58.25 | (711) all_0_15_15 = e2
% 109.34/58.25 | (804) all_0_27_27 = e4
% 109.34/58.25 | (456) ~ (all_0_17_17 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Equations (711) can reduce 769 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1315) yields:
% 109.34/58.25 | (711) all_0_15_15 = e2
% 109.34/58.25 | (804) all_0_27_27 = e4
% 109.34/58.25 | (473) ~ (all_0_25_25 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Equations (711) can reduce 769 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1320) yields:
% 109.34/58.25 | (969) all_0_15_15 = e1
% 109.34/58.25 | (1322) all_0_33_33 = e4
% 109.34/58.25 | (458) ~ (all_0_18_18 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1360,1322) yields a new equation:
% 109.34/58.25 | (597) e4 = e3
% 109.34/58.25 |
% 109.34/58.25 | Equations (597) can reduce 255 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1326) yields:
% 109.34/58.25 | (969) all_0_15_15 = e1
% 109.34/58.25 | (1322) all_0_33_33 = e4
% 109.34/58.25 | (417) ~ (all_0_30_30 = e1)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1360,1322) yields a new equation:
% 109.34/58.25 | (597) e4 = e3
% 109.34/58.25 |
% 109.34/58.25 | Equations (597) can reduce 255 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1332) yields:
% 109.34/58.25 | (736) all_0_15_15 = e0
% 109.34/58.25 | (697) all_0_39_39 = e4
% 109.34/58.25 | (460) ~ (all_0_19_19 = e4)
% 109.34/58.25 |
% 109.34/58.25 | Equations (697) can reduce 607 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1339) yields:
% 109.34/58.25 | (736) all_0_15_15 = e0
% 109.34/58.25 | (697) all_0_39_39 = e4
% 109.34/58.25 | (536) ~ (all_0_35_35 = e0)
% 109.34/58.25 |
% 109.34/58.25 | Equations (697) can reduce 607 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1346) yields:
% 109.34/58.25 | (1347) all_0_21_21 = e2
% 109.34/58.25 | (808) all_0_27_27 = e3
% 109.34/58.25 | (925) ~ (all_0_22_22 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1347,557) yields a new equation:
% 109.34/58.25 | (615) e3 = e2
% 109.34/58.25 |
% 109.34/58.25 | Equations (615) can reduce 52 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1352) yields:
% 109.34/58.25 | (1347) all_0_21_21 = e2
% 109.34/58.25 | (808) all_0_27_27 = e3
% 109.34/58.25 | (1355) ~ (all_0_26_26 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1347,557) yields a new equation:
% 109.34/58.25 | (615) e3 = e2
% 109.34/58.25 |
% 109.34/58.25 | Equations (615) can reduce 52 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1358) yields:
% 109.34/58.25 | (1359) all_0_21_21 = e1
% 109.34/58.25 | (1360) all_0_33_33 = e3
% 109.34/58.25 | (1361) ~ (all_0_23_23 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1359,557) yields a new equation:
% 109.34/58.25 | (928) e3 = e1
% 109.34/58.25 |
% 109.34/58.25 | Equations (928) can reduce 298 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1367) yields:
% 109.34/58.25 | (1359) all_0_21_21 = e1
% 109.34/58.25 | (1360) all_0_33_33 = e3
% 109.34/58.25 | (1370) ~ (all_0_31_31 = e1)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1359,557) yields a new equation:
% 109.34/58.25 | (928) e3 = e1
% 109.34/58.25 |
% 109.34/58.25 | Equations (928) can reduce 298 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1376) yields:
% 109.34/58.25 | (519) all_0_21_21 = e0
% 109.34/58.25 | (701) all_0_39_39 = e3
% 109.34/58.25 | (1379) ~ (all_0_24_24 = e3)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (519,557) yields a new equation:
% 109.34/58.25 | (648) e3 = e0
% 109.34/58.25 |
% 109.34/58.25 | Equations (648) can reduce 80 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1385) yields:
% 109.34/58.25 | (519) all_0_21_21 = e0
% 109.34/58.25 | (701) all_0_39_39 = e3
% 109.34/58.25 | (1388) ~ (all_0_36_36 = e0)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (519,557) yields a new equation:
% 109.34/58.25 | (648) e3 = e0
% 109.34/58.25 |
% 109.34/58.25 | Equations (648) can reduce 80 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.25 |-Branch two:
% 109.34/58.25 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Applying alpha-rule on (1394) yields:
% 109.34/58.25 | (816) all_0_27_27 = e1
% 109.34/58.25 | (637) all_0_33_33 = e2
% 109.34/58.25 | (477) ~ (all_0_28_28 = e2)
% 109.34/58.25 |
% 109.34/58.25 | Combining equations (1360,637) yields a new equation:
% 109.34/58.25 | (614) e3 = e2
% 109.34/58.25 |
% 109.34/58.25 | Simplifying 614 yields:
% 109.34/58.25 | (615) e3 = e2
% 109.34/58.25 |
% 109.34/58.25 | Equations (615) can reduce 52 to:
% 109.34/58.25 | (400) $false
% 109.34/58.25 |
% 109.34/58.25 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.34/58.26 |
% 109.34/58.26 | Applying alpha-rule on (1421) yields:
% 109.34/58.26 | (816) all_0_27_27 = e1
% 109.34/58.26 | (637) all_0_33_33 = e2
% 109.34/58.26 | (419) ~ (all_0_32_32 = e1)
% 109.34/58.26 |
% 109.34/58.26 | Combining equations (1360,637) yields a new equation:
% 109.34/58.26 | (614) e3 = e2
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 614 yields:
% 109.34/58.26 | (615) e3 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (615) can reduce 52 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Applying alpha-rule on (1448) yields:
% 109.34/58.26 | (995) all_0_27_27 = e0
% 109.34/58.26 | (705) all_0_39_39 = e2
% 109.34/58.26 | (479) ~ (all_0_29_29 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Equations (995) can reduce 170 to:
% 109.34/58.26 | (11228) ~ (all_0_32_32 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 11228 yields:
% 109.34/58.26 | (889) ~ (all_0_32_32 = e0)
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (236), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (609) all_0_32_32 = e4
% 109.34/58.26 |
% 109.34/58.26 | Equations (609) can reduce 604 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (604) ~ (all_0_32_32 = e4)
% 109.34/58.26 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (612), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (629) all_0_32_32 = e3
% 109.34/58.26 |
% 109.34/58.26 | Equations (629) can reduce 579 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (579) ~ (all_0_32_32 = e3)
% 109.34/58.26 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (632), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (625) all_0_32_32 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (625) can reduce 448 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (448) ~ (all_0_32_32 = e2)
% 109.34/58.26 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (636), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (1108) all_0_32_32 = e1
% 109.34/58.26 |
% 109.34/58.26 | Equations (1108) can reduce 419 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (419) ~ (all_0_32_32 = e1)
% 109.34/58.26 | (658) all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 | Equations (658) can reduce 889 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Applying alpha-rule on (1455) yields:
% 109.34/58.26 | (995) all_0_27_27 = e0
% 109.34/58.26 | (705) all_0_39_39 = e2
% 109.34/58.26 | (538) ~ (all_0_37_37 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Equations (995) can reduce 170 to:
% 109.34/58.26 | (11228) ~ (all_0_32_32 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 11228 yields:
% 109.34/58.26 | (889) ~ (all_0_32_32 = e0)
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (236), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (609) all_0_32_32 = e4
% 109.34/58.26 |
% 109.34/58.26 | Equations (609) can reduce 604 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (604) ~ (all_0_32_32 = e4)
% 109.34/58.26 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (612), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (629) all_0_32_32 = e3
% 109.34/58.26 |
% 109.34/58.26 | Equations (629) can reduce 579 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (579) ~ (all_0_32_32 = e3)
% 109.34/58.26 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (632), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (625) all_0_32_32 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (625) can reduce 448 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (448) ~ (all_0_32_32 = e2)
% 109.34/58.26 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (636), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (1108) all_0_32_32 = e1
% 109.34/58.26 |
% 109.34/58.26 | Equations (1108) can reduce 419 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (419) ~ (all_0_32_32 = e1)
% 109.34/58.26 | (658) all_0_32_32 = e0
% 109.34/58.26 |
% 109.34/58.26 | Equations (658) can reduce 889 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.34/58.26 |
% 109.34/58.26 | Applying alpha-rule on (1462) yields:
% 109.34/58.26 | (1463) all_0_33_33 = e0
% 109.34/58.26 | (1252) all_0_39_39 = e1
% 109.34/58.26 | (421) ~ (all_0_34_34 = e1)
% 109.34/58.26 |
% 109.34/58.26 | Combining equations (1360,1463) yields a new equation:
% 109.34/58.26 | (647) e3 = e0
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 647 yields:
% 109.34/58.26 | (648) e3 = e0
% 109.34/58.26 |
% 109.34/58.26 | Equations (648) can reduce 80 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Applying alpha-rule on (1469) yields:
% 109.34/58.26 | (1463) all_0_33_33 = e0
% 109.34/58.26 | (1252) all_0_39_39 = e1
% 109.34/58.26 | (540) ~ (all_0_38_38 = e0)
% 109.34/58.26 |
% 109.34/58.26 | Combining equations (1360,1463) yields a new equation:
% 109.34/58.26 | (647) e3 = e0
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 647 yields:
% 109.34/58.26 | (648) e3 = e0
% 109.34/58.26 |
% 109.34/58.26 | Equations (648) can reduce 80 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (2554) ~ (all_0_34_34 = e4)
% 109.34/58.26 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (2555), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (2571) all_0_34_34 = e3
% 109.34/58.26 |
% 109.34/58.26 | Equations (2571) can reduce 583 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (583) ~ (all_0_34_34 = e3)
% 109.34/58.26 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (2574), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (2551) all_0_34_34 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (2551) can reduce 4340 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (4340) ~ (all_0_34_34 = e2)
% 109.34/58.26 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (4341), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (4342) all_0_34_34 = e1
% 109.34/58.26 |
% 109.34/58.26 | Equations (4342) can reduce 421 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (421) ~ (all_0_34_34 = e1)
% 109.34/58.26 | (4345) all_0_34_34 = e0
% 109.34/58.26 |
% 109.34/58.26 | Equations (4345) can reduce 495 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (617) ~ (all_0_30_30 = e2)
% 109.34/58.26 | (732) all_0_35_35 = e2
% 109.34/58.26 |
% 109.34/58.26 | Combining equations (728,732) yields a new equation:
% 109.34/58.26 | (614) e3 = e2
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 614 yields:
% 109.34/58.26 | (615) e3 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (615) can reduce 52 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (711) all_0_15_15 = e2
% 109.34/58.26 | (776) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 109.34/58.26 |
% 109.34/58.26 | Equations (711) can reduce 90 to:
% 109.34/58.26 | (714) ~ (all_0_18_18 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 714 yields:
% 109.34/58.26 | (638) ~ (all_0_18_18 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Equations (711) can reduce 319 to:
% 109.34/58.26 | (716) ~ (all_0_19_19 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 716 yields:
% 109.34/58.26 | (706) ~ (all_0_19_19 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Equations (711) can reduce 42 to:
% 109.34/58.26 | (4484) ~ (all_0_25_25 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 4484 yields:
% 109.34/58.26 | (473) ~ (all_0_25_25 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Equations (711) can reduce 3 to:
% 109.34/58.26 | (19674) ~ (all_0_30_30 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 19674 yields:
% 109.34/58.26 | (617) ~ (all_0_30_30 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Equations (711) can reduce 572 to:
% 109.34/58.26 | (643) ~ (e3 = e2)
% 109.34/58.26 |
% 109.34/58.26 | Simplifying 643 yields:
% 109.34/58.26 | (52) ~ (e3 = e2)
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (342), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (1008) all_0_18_18 = e4
% 109.34/58.26 |
% 109.34/58.26 | Equations (1008) can reduce 458 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (458) ~ (all_0_18_18 = e4)
% 109.34/58.26 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (1146), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (1147) all_0_18_18 = e3
% 109.34/58.26 |
% 109.34/58.26 | Equations (1147) can reduce 1189 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (1189) ~ (all_0_18_18 = e3)
% 109.34/58.26 | (1190) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (114), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (969) all_0_15_15 = e1
% 109.34/58.26 |
% 109.34/58.26 | Combining equations (969,711) yields a new equation:
% 109.34/58.26 | (621) e2 = e1
% 109.34/58.26 |
% 109.34/58.26 | Equations (621) can reduce 310 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (679) ~ (all_0_15_15 = e1)
% 109.34/58.26 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (1190), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (1191) all_0_18_18 = e2
% 109.34/58.26 |
% 109.34/58.26 | Equations (1191) can reduce 638 to:
% 109.34/58.26 | (400) $false
% 109.34/58.26 |
% 109.34/58.26 |-The branch is then unsatisfiable
% 109.34/58.26 |-Branch two:
% 109.34/58.26 | (638) ~ (all_0_18_18 = e2)
% 109.34/58.26 | (1194) all_0_18_18 = e1 | all_0_18_18 = e0
% 109.34/58.26 |
% 109.34/58.26 +-Applying beta-rule and splitting (107), into two cases.
% 109.34/58.26 |-Branch one:
% 109.34/58.26 | (613) all_0_30_30 = e2
% 109.34/58.26 |
% 109.34/58.27 | Equations (613) can reduce 617 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (617) ~ (all_0_30_30 = e2)
% 109.34/58.27 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (71), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (595) all_0_30_30 = e4
% 109.34/58.27 |
% 109.34/58.27 | Equations (595) can reduce 507 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (507) ~ (all_0_30_30 = e4)
% 109.34/58.27 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (332), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1151) all_0_19_19 = e4
% 109.34/58.27 |
% 109.34/58.27 | Equations (1151) can reduce 460 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (460) ~ (all_0_19_19 = e4)
% 109.34/58.27 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (6692), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (575) all_0_30_30 = e3
% 109.34/58.27 |
% 109.34/58.27 | Equations (575) can reduce 1800 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (1800) ~ (all_0_30_30 = e3)
% 109.34/58.27 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1402), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1490) all_0_20_20 = e1
% 109.34/58.27 |
% 109.34/58.27 | Combining equations (1490,500) yields a new equation:
% 109.34/58.27 | (838) e4 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (838) can reduce 56 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (429) ~ (all_0_20_20 = e1)
% 109.34/58.27 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1494), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1495) all_0_25_25 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (1495) can reduce 185 to:
% 109.34/58.27 | (433) ~ (all_0_28_28 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 433 yields:
% 109.34/58.27 | (434) ~ (all_0_28_28 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Equations (1495) can reduce 62 to:
% 109.34/58.27 | (17107) ~ (all_0_30_30 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 17107 yields:
% 109.34/58.27 | (417) ~ (all_0_30_30 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Equations (1495) can reduce 473 to:
% 109.34/58.27 | (766) ~ (e2 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 766 yields:
% 109.34/58.27 | (310) ~ (e2 = e1)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (124), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (769) ~ (all_0_15_15 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Equations (711) can reduce 769 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (711) all_0_15_15 = e2
% 109.34/58.27 | (7336) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e0) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1154), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1159) all_0_19_19 = e3
% 109.34/58.27 |
% 109.34/58.27 | Equations (1159) can reduce 1150 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (1150) ~ (all_0_19_19 = e3)
% 109.34/58.27 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (36), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (769) ~ (all_0_15_15 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Equations (711) can reduce 769 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (711) all_0_15_15 = e2
% 109.34/58.27 | (772) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e1))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1162), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1163) all_0_19_19 = e2
% 109.34/58.27 |
% 109.34/58.27 | Equations (1163) can reduce 706 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (706) ~ (all_0_19_19 = e2)
% 109.34/58.27 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (618), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (619) all_0_31_31 = e2
% 109.34/58.27 |
% 109.34/58.27 | Combining equations (414,619) yields a new equation:
% 109.34/58.27 | (621) e2 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (621) can reduce 310 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (623) ~ (all_0_31_31 = e2)
% 109.34/58.27 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (11175), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (613) all_0_30_30 = e2
% 109.34/58.27 |
% 109.34/58.27 | Equations (613) can reduce 617 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (617) ~ (all_0_30_30 = e2)
% 109.34/58.27 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (14452), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1521) all_0_30_30 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (1521) can reduce 417 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (417) ~ (all_0_30_30 = e1)
% 109.34/58.27 | (646) all_0_30_30 = e0
% 109.34/58.27 |
% 109.34/58.27 | Equations (646) can reduce 202 to:
% 109.34/58.27 | (494) ~ (all_0_34_34 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 494 yields:
% 109.34/58.27 | (495) ~ (all_0_34_34 = e0)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1194), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (984) all_0_18_18 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (984) can reduce 428 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (428) ~ (all_0_18_18 = e1)
% 109.34/58.27 | (756) all_0_18_18 = e0
% 109.34/58.27 |
% 109.34/58.27 | Equations (756) can reduce 172 to:
% 109.34/58.27 | (3657) ~ (all_0_19_19 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 3657 yields:
% 109.34/58.27 | (489) ~ (all_0_19_19 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Equations (756) can reduce 302 to:
% 109.34/58.27 | (757) ~ (all_0_28_28 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 757 yields:
% 109.34/58.27 | (758) ~ (all_0_28_28 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Equations (756) can reduce 1189 to:
% 109.34/58.27 | (665) ~ (e3 = e0)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 665 yields:
% 109.34/58.27 | (80) ~ (e3 = e0)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1166), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (829) all_0_19_19 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (829) can reduce 295 to:
% 109.34/58.27 | (420) ~ (all_0_34_34 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 420 yields:
% 109.34/58.27 | (421) ~ (all_0_34_34 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Equations (829) can reduce 1150 to:
% 109.34/58.27 | (824) ~ (e3 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 824 yields:
% 109.34/58.27 | (298) ~ (e3 = e1)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (624), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (625) all_0_32_32 = e2
% 109.34/58.27 |
% 109.34/58.27 | Equations (625) can reduce 448 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (448) ~ (all_0_32_32 = e2)
% 109.34/58.27 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (86), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (854) all_0_28_28 = e4
% 109.34/58.27 |
% 109.34/58.27 | Equations (854) can reduce 337 to:
% 109.34/58.27 | (785) ~ (all_0_27_27 = e4)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (628), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (637) all_0_33_33 = e2
% 109.34/58.27 |
% 109.34/58.27 | Combining equations (1360,637) yields a new equation:
% 109.34/58.27 | (614) e3 = e2
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 614 yields:
% 109.34/58.27 | (615) e3 = e2
% 109.34/58.27 |
% 109.34/58.27 | Equations (615) can reduce 52 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (671) ~ (all_0_33_33 = e2)
% 109.34/58.27 | (2551) all_0_34_34 = e2
% 109.34/58.27 |
% 109.34/58.27 | Equations (2551) can reduce 85 to:
% 109.34/58.27 | (2579) ~ (all_0_39_39 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 2579 yields:
% 109.34/58.27 | (1250) ~ (all_0_39_39 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Equations (2551) can reduce 583 to:
% 109.34/58.27 | (643) ~ (e3 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Simplifying 643 yields:
% 109.34/58.27 | (52) ~ (e3 = e2)
% 109.34/58.27 |
% 109.34/58.27 | Equations (2551) can reduce 421 to:
% 109.34/58.27 | (310) ~ (e2 = e1)
% 109.34/58.27 |
% 109.34/58.27 | Equations (2551) can reduce 495 to:
% 109.34/58.27 | (336) ~ (e2 = e0)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (148), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (761) all_0_35_35 = e1
% 109.34/58.27 |
% 109.34/58.27 | Combining equations (761,728) yields a new equation:
% 109.34/58.27 | (928) e3 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (928) can reduce 298 to:
% 109.34/58.27 | (400) $false
% 109.34/58.27 |
% 109.34/58.27 |-The branch is then unsatisfiable
% 109.34/58.27 |-Branch two:
% 109.34/58.27 | (1138) ~ (all_0_35_35 = e1)
% 109.34/58.27 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.34/58.27 |
% 109.34/58.27 | Equations (728) can reduce 1138 to:
% 109.34/58.27 | (298) ~ (e3 = e1)
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (251), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1278), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1279), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1280), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1281), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1282), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1283), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1284), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.34/58.27 |
% 109.34/58.27 +-Applying beta-rule and splitting (1285), into two cases.
% 109.34/58.27 |-Branch one:
% 109.34/58.27 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1286), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1287), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1288), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1289), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1290), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1291), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1292), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1293), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1294), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1295), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1296) yields:
% 109.34/58.28 | (1297) all_0_15_15 = e3
% 109.34/58.28 | (550) all_0_21_21 = e4
% 109.34/58.28 | (1299) ~ (all_0_16_16 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1297,711) yields a new equation:
% 109.34/58.28 | (614) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Simplifying 614 yields:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1303) yields:
% 109.34/58.28 | (1297) all_0_15_15 = e3
% 109.34/58.28 | (550) all_0_21_21 = e4
% 109.34/58.28 | (1306) ~ (all_0_20_20 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1297,711) yields a new equation:
% 109.34/58.28 | (614) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Simplifying 614 yields:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1310) yields:
% 109.34/58.28 | (711) all_0_15_15 = e2
% 109.34/58.28 | (804) all_0_27_27 = e4
% 109.34/58.28 | (456) ~ (all_0_17_17 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Equations (804) can reduce 785 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1315) yields:
% 109.34/58.28 | (711) all_0_15_15 = e2
% 109.34/58.28 | (804) all_0_27_27 = e4
% 109.34/58.28 | (473) ~ (all_0_25_25 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Equations (804) can reduce 785 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1320) yields:
% 109.34/58.28 | (969) all_0_15_15 = e1
% 109.34/58.28 | (1322) all_0_33_33 = e4
% 109.34/58.28 | (458) ~ (all_0_18_18 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (969,711) yields a new equation:
% 109.34/58.28 | (621) e2 = e1
% 109.34/58.28 |
% 109.34/58.28 | Equations (621) can reduce 310 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1326) yields:
% 109.34/58.28 | (969) all_0_15_15 = e1
% 109.34/58.28 | (1322) all_0_33_33 = e4
% 109.34/58.28 | (417) ~ (all_0_30_30 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (969,711) yields a new equation:
% 109.34/58.28 | (621) e2 = e1
% 109.34/58.28 |
% 109.34/58.28 | Equations (621) can reduce 310 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1332) yields:
% 109.34/58.28 | (736) all_0_15_15 = e0
% 109.34/58.28 | (697) all_0_39_39 = e4
% 109.34/58.28 | (460) ~ (all_0_19_19 = e4)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (736,711) yields a new equation:
% 109.34/58.28 | (525) e2 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (525) can reduce 336 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1339) yields:
% 109.34/58.28 | (736) all_0_15_15 = e0
% 109.34/58.28 | (697) all_0_39_39 = e4
% 109.34/58.28 | (536) ~ (all_0_35_35 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (736,711) yields a new equation:
% 109.34/58.28 | (525) e2 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (525) can reduce 336 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1346) yields:
% 109.34/58.28 | (1347) all_0_21_21 = e2
% 109.34/58.28 | (808) all_0_27_27 = e3
% 109.34/58.28 | (925) ~ (all_0_22_22 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1347,557) yields a new equation:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1352) yields:
% 109.34/58.28 | (1347) all_0_21_21 = e2
% 109.34/58.28 | (808) all_0_27_27 = e3
% 109.34/58.28 | (1355) ~ (all_0_26_26 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1347,557) yields a new equation:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1358) yields:
% 109.34/58.28 | (1359) all_0_21_21 = e1
% 109.34/58.28 | (1360) all_0_33_33 = e3
% 109.34/58.28 | (1361) ~ (all_0_23_23 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1359,557) yields a new equation:
% 109.34/58.28 | (928) e3 = e1
% 109.34/58.28 |
% 109.34/58.28 | Equations (928) can reduce 298 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1367) yields:
% 109.34/58.28 | (1359) all_0_21_21 = e1
% 109.34/58.28 | (1360) all_0_33_33 = e3
% 109.34/58.28 | (1370) ~ (all_0_31_31 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1359,557) yields a new equation:
% 109.34/58.28 | (928) e3 = e1
% 109.34/58.28 |
% 109.34/58.28 | Equations (928) can reduce 298 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1376) yields:
% 109.34/58.28 | (519) all_0_21_21 = e0
% 109.34/58.28 | (701) all_0_39_39 = e3
% 109.34/58.28 | (1379) ~ (all_0_24_24 = e3)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (519,557) yields a new equation:
% 109.34/58.28 | (648) e3 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (648) can reduce 80 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1385) yields:
% 109.34/58.28 | (519) all_0_21_21 = e0
% 109.34/58.28 | (701) all_0_39_39 = e3
% 109.34/58.28 | (1388) ~ (all_0_36_36 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (519,557) yields a new equation:
% 109.34/58.28 | (648) e3 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (648) can reduce 80 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1394) yields:
% 109.34/58.28 | (816) all_0_27_27 = e1
% 109.34/58.28 | (637) all_0_33_33 = e2
% 109.34/58.28 | (477) ~ (all_0_28_28 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (637,1360) yields a new equation:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1421) yields:
% 109.34/58.28 | (816) all_0_27_27 = e1
% 109.34/58.28 | (637) all_0_33_33 = e2
% 109.34/58.28 | (419) ~ (all_0_32_32 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (637,1360) yields a new equation:
% 109.34/58.28 | (615) e3 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (615) can reduce 52 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1448) yields:
% 109.34/58.28 | (995) all_0_27_27 = e0
% 109.34/58.28 | (705) all_0_39_39 = e2
% 109.34/58.28 | (479) ~ (all_0_29_29 = e2)
% 109.34/58.28 |
% 109.34/58.28 | Equations (705) can reduce 1250 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1455) yields:
% 109.34/58.28 | (995) all_0_27_27 = e0
% 109.34/58.28 | (705) all_0_39_39 = e2
% 109.34/58.28 | (538) ~ (all_0_37_37 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Equations (705) can reduce 1250 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1462) yields:
% 109.34/58.28 | (1463) all_0_33_33 = e0
% 109.34/58.28 | (1252) all_0_39_39 = e1
% 109.34/58.28 | (421) ~ (all_0_34_34 = e1)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1463,1360) yields a new equation:
% 109.34/58.28 | (648) e3 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (648) can reduce 80 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Applying alpha-rule on (1469) yields:
% 109.34/58.28 | (1463) all_0_33_33 = e0
% 109.34/58.28 | (1252) all_0_39_39 = e1
% 109.34/58.28 | (540) ~ (all_0_38_38 = e0)
% 109.34/58.28 |
% 109.34/58.28 | Combining equations (1463,1360) yields a new equation:
% 109.34/58.28 | (648) e3 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (648) can reduce 80 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (883) ~ (all_0_28_28 = e4)
% 109.34/58.28 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1021), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1106) all_0_28_28 = e3
% 109.34/58.28 |
% 109.34/58.28 | Equations (1106) can reduce 893 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (893) ~ (all_0_28_28 = e3)
% 109.34/58.28 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1117), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1118) all_0_28_28 = e2
% 109.34/58.28 |
% 109.34/58.28 | Equations (1118) can reduce 477 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (477) ~ (all_0_28_28 = e2)
% 109.34/58.28 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 109.34/58.28 |
% 109.34/58.28 +-Applying beta-rule and splitting (1121), into two cases.
% 109.34/58.28 |-Branch one:
% 109.34/58.28 | (1122) all_0_28_28 = e1
% 109.34/58.28 |
% 109.34/58.28 | Equations (1122) can reduce 434 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (434) ~ (all_0_28_28 = e1)
% 109.34/58.28 | (1125) all_0_28_28 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (1125) can reduce 758 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.28 |-Branch two:
% 109.34/58.28 | (943) ~ (all_0_19_19 = e1)
% 109.34/58.28 | (1187) all_0_19_19 = e0
% 109.34/58.28 |
% 109.34/58.28 | Equations (1187) can reduce 489 to:
% 109.34/58.28 | (400) $false
% 109.34/58.28 |
% 109.34/58.28 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (1519) ~ (all_0_25_25 = e1)
% 109.34/58.29 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (1520), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (1521) all_0_30_30 = e1
% 109.34/58.29 |
% 109.34/58.29 | Equations (1521) can reduce 417 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (417) ~ (all_0_30_30 = e1)
% 109.34/58.29 | (761) all_0_35_35 = e1
% 109.34/58.29 |
% 109.34/58.29 | Combining equations (761,728) yields a new equation:
% 109.34/58.29 | (928) e3 = e1
% 109.34/58.29 |
% 109.34/58.29 | Equations (928) can reduce 298 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (585) ~ (all_0_35_35 = e3)
% 109.34/58.29 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (4535), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (4536) all_0_36_36 = e3
% 109.34/58.29 |
% 109.34/58.29 | Combining equations (534,4536) yields a new equation:
% 109.34/58.29 | (648) e3 = e0
% 109.34/58.29 |
% 109.34/58.29 | Equations (648) can reduce 80 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (4540) ~ (all_0_36_36 = e3)
% 109.34/58.29 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (4541), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (936) all_0_37_37 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (936) can reduce 1127 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (1127) ~ (all_0_37_37 = e3)
% 109.34/58.29 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (4729), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (3208) all_0_38_38 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (3208) can reduce 3095 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (3095) ~ (all_0_38_38 = e3)
% 109.34/58.29 | (701) all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (701) can reduce 571 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (3115) ~ (all_0_29_29 = e3)
% 109.34/58.29 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (4794), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (2571) all_0_34_34 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (2571) can reduce 583 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (583) ~ (all_0_34_34 = e3)
% 109.34/58.29 | (701) all_0_39_39 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (701) can reduce 571 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (919) ~ (all_0_17_17 = e3)
% 109.34/58.29 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (3176), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (1147) all_0_18_18 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (1147) can reduce 1189 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (1189) ~ (all_0_18_18 = e3)
% 109.34/58.29 | (1159) all_0_19_19 = e3
% 109.34/58.29 |
% 109.34/58.29 | Equations (1159) can reduce 1150 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (808) all_0_27_27 = e3
% 109.34/58.29 | (21113) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 226 to:
% 109.34/58.29 | (919) ~ (all_0_17_17 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 122 to:
% 109.34/58.29 | (577) ~ (all_0_25_25 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 53 to:
% 109.34/58.29 | (3114) ~ (all_0_29_29 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Simplifying 3114 yields:
% 109.34/58.29 | (3115) ~ (all_0_29_29 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 170 to:
% 109.34/58.29 | (578) ~ (all_0_32_32 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Simplifying 578 yields:
% 109.34/58.29 | (579) ~ (all_0_32_32 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 167 to:
% 109.34/58.29 | (6232) ~ (all_0_37_37 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Simplifying 6232 yields:
% 109.34/58.29 | (1127) ~ (all_0_37_37 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 475 to:
% 109.34/58.29 | (52) ~ (e3 = e2)
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (278), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (573) ~ (all_0_27_27 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 573 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (808) all_0_27_27 = e3
% 109.34/58.29 | (21126) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))
% 109.34/58.29 |
% 109.34/58.29 +-Applying beta-rule and splitting (44), into two cases.
% 109.34/58.29 |-Branch one:
% 109.34/58.29 | (573) ~ (all_0_27_27 = e3)
% 109.34/58.29 |
% 109.34/58.29 | Equations (808) can reduce 573 to:
% 109.34/58.29 | (400) $false
% 109.34/58.29 |
% 109.34/58.29 |-The branch is then unsatisfiable
% 109.34/58.29 |-Branch two:
% 109.34/58.29 | (808) all_0_27_27 = e3
% 109.34/58.30 | (21130) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e4))
% 109.34/58.30 |
% 109.34/58.30 +-Applying beta-rule and splitting (99), into two cases.
% 109.34/58.30 |-Branch one:
% 109.34/58.30 | (573) ~ (all_0_27_27 = e3)
% 109.34/58.30 |
% 109.34/58.30 | Equations (808) can reduce 573 to:
% 109.34/58.30 | (400) $false
% 109.34/58.30 |
% 109.34/58.30 |-The branch is then unsatisfiable
% 109.34/58.30 |-Branch two:
% 109.34/58.30 | (808) all_0_27_27 = e3
% 109.34/58.30 | (21134) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e1)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))
% 109.34/58.30 |
% 109.34/58.30 +-Applying beta-rule and splitting (259), into two cases.
% 109.34/58.30 |-Branch one:
% 109.34/58.30 | (573) ~ (all_0_27_27 = e3)
% 109.34/58.30 |
% 109.34/58.30 | Equations (808) can reduce 573 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (808) all_0_27_27 = e3
% 109.39/58.30 | (21138) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e0) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (314), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (573) ~ (all_0_27_27 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (808) can reduce 573 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (808) all_0_27_27 = e3
% 109.39/58.30 | (21142) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e1) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e4)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e0))
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (41), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (574) ~ (all_0_33_33 = e3)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (240), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (575) all_0_30_30 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (575) can reduce 62 to:
% 109.39/58.30 | (577) ~ (all_0_25_25 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (575) can reduce 301 to:
% 109.39/58.30 | (578) ~ (all_0_32_32 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 578 yields:
% 109.39/58.30 | (579) ~ (all_0_32_32 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (575) can reduce 202 to:
% 109.39/58.30 | (582) ~ (all_0_34_34 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 582 yields:
% 109.39/58.30 | (583) ~ (all_0_34_34 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (575) can reduce 15 to:
% 109.39/58.30 | (584) ~ (all_0_35_35 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 584 yields:
% 109.39/58.30 | (585) ~ (all_0_35_35 = e3)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (130), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (1159) all_0_19_19 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 319 to:
% 109.39/58.30 | (572) ~ (all_0_15_15 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 131 to:
% 109.39/58.30 | (919) ~ (all_0_17_17 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 174 to:
% 109.39/58.30 | (3114) ~ (all_0_29_29 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 3114 yields:
% 109.39/58.30 | (3115) ~ (all_0_29_29 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 295 to:
% 109.39/58.30 | (582) ~ (all_0_34_34 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 582 yields:
% 109.39/58.30 | (583) ~ (all_0_34_34 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 94 to:
% 109.39/58.30 | (10723) ~ (all_0_39_39 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 10723 yields:
% 109.39/58.30 | (571) ~ (all_0_39_39 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 460 to:
% 109.39/58.30 | (558) ~ (e4 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 558 yields:
% 109.39/58.30 | (255) ~ (e4 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (1159) can reduce 489 to:
% 109.39/58.30 | (80) ~ (e3 = e0)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (254), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (728) all_0_35_35 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (728) can reduce 585 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (585) ~ (all_0_35_35 = e3)
% 109.39/58.30 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (4535), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (4536) all_0_36_36 = e3
% 109.39/58.30 |
% 109.39/58.30 | Combining equations (534,4536) yields a new equation:
% 109.39/58.30 | (648) e3 = e0
% 109.39/58.30 |
% 109.39/58.30 | Equations (648) can reduce 80 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (4540) ~ (all_0_36_36 = e3)
% 109.39/58.30 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (4541), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (936) all_0_37_37 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (936) can reduce 1127 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (1127) ~ (all_0_37_37 = e3)
% 109.39/58.30 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (4729), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (3208) all_0_38_38 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 199 to:
% 109.39/58.30 | (574) ~ (all_0_33_33 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 210 to:
% 109.39/58.30 | (585) ~ (all_0_35_35 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 97 to:
% 109.39/58.30 | (1127) ~ (all_0_37_37 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 231 to:
% 109.39/58.30 | (10723) ~ (all_0_39_39 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 10723 yields:
% 109.39/58.30 | (571) ~ (all_0_39_39 = e3)
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 438 to:
% 109.39/58.30 | (298) ~ (e3 = e1)
% 109.39/58.30 |
% 109.39/58.30 | Equations (3208) can reduce 540 to:
% 109.39/58.30 | (80) ~ (e3 = e0)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (107), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (613) all_0_30_30 = e2
% 109.39/58.30 |
% 109.39/58.30 | Combining equations (575,613) yields a new equation:
% 109.39/58.30 | (614) e3 = e2
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 614 yields:
% 109.39/58.30 | (615) e3 = e2
% 109.39/58.30 |
% 109.39/58.30 | Equations (615) can reduce 52 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (617) ~ (all_0_30_30 = e2)
% 109.39/58.30 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.39/58.30 |
% 109.39/58.30 | Equations (575) can reduce 617 to:
% 109.39/58.30 | (52) ~ (e3 = e2)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (183), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (607) ~ (all_0_39_39 = e4)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (248), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (724) all_0_35_35 = e4
% 109.39/58.30 |
% 109.39/58.30 | Equations (724) can reduce 509 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (509) ~ (all_0_35_35 = e4)
% 109.39/58.30 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (1091), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (2975) all_0_36_36 = e4
% 109.39/58.30 |
% 109.39/58.30 | Combining equations (534,2975) yields a new equation:
% 109.39/58.30 | (515) e4 = e0
% 109.39/58.30 |
% 109.39/58.30 | Equations (515) can reduce 267 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (466) ~ (all_0_36_36 = e4)
% 109.39/58.30 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (2979), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (847) all_0_37_37 = e4
% 109.39/58.30 |
% 109.39/58.30 | Equations (847) can reduce 282 to:
% 109.39/58.30 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.30 |
% 109.39/58.30 | Equations (847) can reduce 211 to:
% 109.39/58.30 | (604) ~ (all_0_32_32 = e4)
% 109.39/58.30 |
% 109.39/58.30 | Equations (847) can reduce 24 to:
% 109.39/58.30 | (606) ~ (all_0_39_39 = e4)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 606 yields:
% 109.39/58.30 | (607) ~ (all_0_39_39 = e4)
% 109.39/58.30 |
% 109.39/58.30 | Equations (847) can reduce 1127 to:
% 109.39/58.30 | (255) ~ (e4 = e3)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (236), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (609) all_0_32_32 = e4
% 109.39/58.30 |
% 109.39/58.30 | Equations (609) can reduce 604 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (604) ~ (all_0_32_32 = e4)
% 109.39/58.30 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (249), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (980) all_0_17_17 = e1
% 109.39/58.30 |
% 109.39/58.30 | Equations (980) can reduce 344 to:
% 109.39/58.30 | (679) ~ (all_0_15_15 = e1)
% 109.39/58.30 |
% 109.39/58.30 | Equations (980) can reduce 242 to:
% 109.39/58.30 | (418) ~ (all_0_32_32 = e1)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 418 yields:
% 109.39/58.30 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.30 |
% 109.39/58.30 | Equations (980) can reduce 919 to:
% 109.39/58.30 | (824) ~ (e3 = e1)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 824 yields:
% 109.39/58.30 | (298) ~ (e3 = e1)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (612), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (629) all_0_32_32 = e3
% 109.39/58.30 |
% 109.39/58.30 | Equations (629) can reduce 579 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (579) ~ (all_0_32_32 = e3)
% 109.39/58.30 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (632), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (625) all_0_32_32 = e2
% 109.39/58.30 |
% 109.39/58.30 | Equations (625) can reduce 448 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (448) ~ (all_0_32_32 = e2)
% 109.39/58.30 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (636), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (1108) all_0_32_32 = e1
% 109.39/58.30 |
% 109.39/58.30 | Equations (1108) can reduce 419 to:
% 109.39/58.30 | (400) $false
% 109.39/58.30 |
% 109.39/58.30 |-The branch is then unsatisfiable
% 109.39/58.30 |-Branch two:
% 109.39/58.30 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.30 | (658) all_0_32_32 = e0
% 109.39/58.30 |
% 109.39/58.30 | Equations (658) can reduce 105 to:
% 109.39/58.30 | (9509) ~ (all_0_33_33 = e0)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 9509 yields:
% 109.39/58.30 | (2612) ~ (all_0_33_33 = e0)
% 109.39/58.30 |
% 109.39/58.30 | Equations (658) can reduce 579 to:
% 109.39/58.30 | (665) ~ (e3 = e0)
% 109.39/58.30 |
% 109.39/58.30 | Simplifying 665 yields:
% 109.39/58.30 | (80) ~ (e3 = e0)
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (251), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.39/58.30 |
% 109.39/58.30 +-Applying beta-rule and splitting (1278), into two cases.
% 109.39/58.30 |-Branch one:
% 109.39/58.30 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1279), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1280), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1281), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1282), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1283), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1284), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1285), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1286), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1287), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1288), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1289), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1290), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1291), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1292), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1293), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1294), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.39/58.31 |
% 109.39/58.31 +-Applying beta-rule and splitting (1295), into two cases.
% 109.39/58.31 |-Branch one:
% 109.39/58.31 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1296) yields:
% 109.39/58.31 | (1297) all_0_15_15 = e3
% 109.39/58.31 | (550) all_0_21_21 = e4
% 109.39/58.31 | (1299) ~ (all_0_16_16 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,550) yields a new equation:
% 109.39/58.31 | (597) e4 = e3
% 109.39/58.31 |
% 109.39/58.31 | Equations (597) can reduce 255 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1303) yields:
% 109.39/58.31 | (1297) all_0_15_15 = e3
% 109.39/58.31 | (550) all_0_21_21 = e4
% 109.39/58.31 | (1306) ~ (all_0_20_20 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,550) yields a new equation:
% 109.39/58.31 | (597) e4 = e3
% 109.39/58.31 |
% 109.39/58.31 | Equations (597) can reduce 255 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1310) yields:
% 109.39/58.31 | (711) all_0_15_15 = e2
% 109.39/58.31 | (804) all_0_27_27 = e4
% 109.39/58.31 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (808,804) yields a new equation:
% 109.39/58.31 | (597) e4 = e3
% 109.39/58.31 |
% 109.39/58.31 | Equations (597) can reduce 255 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1315) yields:
% 109.39/58.31 | (711) all_0_15_15 = e2
% 109.39/58.31 | (804) all_0_27_27 = e4
% 109.39/58.31 | (473) ~ (all_0_25_25 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (808,804) yields a new equation:
% 109.39/58.31 | (597) e4 = e3
% 109.39/58.31 |
% 109.39/58.31 | Equations (597) can reduce 255 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1320) yields:
% 109.39/58.31 | (969) all_0_15_15 = e1
% 109.39/58.31 | (1322) all_0_33_33 = e4
% 109.39/58.31 | (458) ~ (all_0_18_18 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Equations (969) can reduce 679 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1326) yields:
% 109.39/58.31 | (969) all_0_15_15 = e1
% 109.39/58.31 | (1322) all_0_33_33 = e4
% 109.39/58.31 | (417) ~ (all_0_30_30 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Equations (969) can reduce 679 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1332) yields:
% 109.39/58.31 | (736) all_0_15_15 = e0
% 109.39/58.31 | (697) all_0_39_39 = e4
% 109.39/58.31 | (460) ~ (all_0_19_19 = e4)
% 109.39/58.31 |
% 109.39/58.31 | Equations (697) can reduce 607 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1339) yields:
% 109.39/58.31 | (736) all_0_15_15 = e0
% 109.39/58.31 | (697) all_0_39_39 = e4
% 109.39/58.31 | (536) ~ (all_0_35_35 = e0)
% 109.39/58.31 |
% 109.39/58.31 | Equations (697) can reduce 607 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1346) yields:
% 109.39/58.31 | (1347) all_0_21_21 = e2
% 109.39/58.31 | (808) all_0_27_27 = e3
% 109.39/58.31 | (925) ~ (all_0_22_22 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,1347) yields a new equation:
% 109.39/58.31 | (614) e3 = e2
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 614 yields:
% 109.39/58.31 | (615) e3 = e2
% 109.39/58.31 |
% 109.39/58.31 | Equations (615) can reduce 52 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1352) yields:
% 109.39/58.31 | (1347) all_0_21_21 = e2
% 109.39/58.31 | (808) all_0_27_27 = e3
% 109.39/58.31 | (1355) ~ (all_0_26_26 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,1347) yields a new equation:
% 109.39/58.31 | (614) e3 = e2
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 614 yields:
% 109.39/58.31 | (615) e3 = e2
% 109.39/58.31 |
% 109.39/58.31 | Equations (615) can reduce 52 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1358) yields:
% 109.39/58.31 | (1359) all_0_21_21 = e1
% 109.39/58.31 | (1360) all_0_33_33 = e3
% 109.39/58.31 | (1361) ~ (all_0_23_23 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,1359) yields a new equation:
% 109.39/58.31 | (1113) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 1113 yields:
% 109.39/58.31 | (928) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Equations (928) can reduce 298 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1367) yields:
% 109.39/58.31 | (1359) all_0_21_21 = e1
% 109.39/58.31 | (1360) all_0_33_33 = e3
% 109.39/58.31 | (1370) ~ (all_0_31_31 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,1359) yields a new equation:
% 109.39/58.31 | (1113) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 1113 yields:
% 109.39/58.31 | (928) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Equations (928) can reduce 298 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1376) yields:
% 109.39/58.31 | (519) all_0_21_21 = e0
% 109.39/58.31 | (701) all_0_39_39 = e3
% 109.39/58.31 | (1379) ~ (all_0_24_24 = e3)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,519) yields a new equation:
% 109.39/58.31 | (647) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 647 yields:
% 109.39/58.31 | (648) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Equations (648) can reduce 80 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1385) yields:
% 109.39/58.31 | (519) all_0_21_21 = e0
% 109.39/58.31 | (701) all_0_39_39 = e3
% 109.39/58.31 | (1388) ~ (all_0_36_36 = e0)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (557,519) yields a new equation:
% 109.39/58.31 | (647) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 647 yields:
% 109.39/58.31 | (648) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Equations (648) can reduce 80 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1394) yields:
% 109.39/58.31 | (816) all_0_27_27 = e1
% 109.39/58.31 | (637) all_0_33_33 = e2
% 109.39/58.31 | (477) ~ (all_0_28_28 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (808,816) yields a new equation:
% 109.39/58.31 | (1113) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 1113 yields:
% 109.39/58.31 | (928) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Equations (928) can reduce 298 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1421) yields:
% 109.39/58.31 | (816) all_0_27_27 = e1
% 109.39/58.31 | (637) all_0_33_33 = e2
% 109.39/58.31 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (808,816) yields a new equation:
% 109.39/58.31 | (1113) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 1113 yields:
% 109.39/58.31 | (928) e3 = e1
% 109.39/58.31 |
% 109.39/58.31 | Equations (928) can reduce 298 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1448) yields:
% 109.39/58.31 | (995) all_0_27_27 = e0
% 109.39/58.31 | (705) all_0_39_39 = e2
% 109.39/58.31 | (479) ~ (all_0_29_29 = e2)
% 109.39/58.31 |
% 109.39/58.31 | Combining equations (808,995) yields a new equation:
% 109.39/58.31 | (647) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Simplifying 647 yields:
% 109.39/58.31 | (648) e3 = e0
% 109.39/58.31 |
% 109.39/58.31 | Equations (648) can reduce 80 to:
% 109.39/58.31 | (400) $false
% 109.39/58.31 |
% 109.39/58.31 |-The branch is then unsatisfiable
% 109.39/58.31 |-Branch two:
% 109.39/58.31 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.39/58.31 |
% 109.39/58.31 | Applying alpha-rule on (1455) yields:
% 109.39/58.32 | (995) all_0_27_27 = e0
% 109.39/58.32 | (705) all_0_39_39 = e2
% 109.39/58.32 | (538) ~ (all_0_37_37 = e0)
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (808,995) yields a new equation:
% 109.39/58.32 | (647) e3 = e0
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 647 yields:
% 109.39/58.32 | (648) e3 = e0
% 109.39/58.32 |
% 109.39/58.32 | Equations (648) can reduce 80 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Applying alpha-rule on (1462) yields:
% 109.39/58.32 | (1463) all_0_33_33 = e0
% 109.39/58.32 | (1252) all_0_39_39 = e1
% 109.39/58.32 | (421) ~ (all_0_34_34 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Equations (1463) can reduce 2612 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.39/58.32 |
% 109.39/58.32 | Applying alpha-rule on (1469) yields:
% 109.39/58.32 | (1463) all_0_33_33 = e0
% 109.39/58.32 | (1252) all_0_39_39 = e1
% 109.39/58.32 | (540) ~ (all_0_38_38 = e0)
% 109.39/58.32 |
% 109.39/58.32 | Equations (1463) can reduce 2612 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (817) ~ (all_0_17_17 = e1)
% 109.39/58.32 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (241), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (793) all_0_17_17 = e4
% 109.39/58.32 |
% 109.39/58.32 | Equations (793) can reduce 456 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.32 | (1172) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1085), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1094) all_0_22_22 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (1094,442) yields a new equation:
% 109.39/58.32 | (621) e2 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (621) can reduce 310 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (1098) ~ (all_0_22_22 = e1)
% 109.39/58.32 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (305), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (969) all_0_15_15 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (969) can reduce 344 to:
% 109.39/58.32 | (5989) ~ (all_0_17_17 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 5989 yields:
% 109.39/58.32 | (817) ~ (all_0_17_17 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Equations (969) can reduce 39 to:
% 109.39/58.32 | (3855) ~ (all_0_35_35 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 3855 yields:
% 109.39/58.32 | (1138) ~ (all_0_35_35 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Equations (969) can reduce 501 to:
% 109.39/58.32 | (764) ~ (e4 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 764 yields:
% 109.39/58.32 | (56) ~ (e4 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Equations (969) can reduce 572 to:
% 109.39/58.32 | (824) ~ (e3 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 824 yields:
% 109.39/58.32 | (298) ~ (e3 = e1)
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1172), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (855) all_0_17_17 = e3
% 109.39/58.32 |
% 109.39/58.32 | Equations (855) can reduce 919 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (919) ~ (all_0_17_17 = e3)
% 109.39/58.32 | (1176) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (148), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (761) all_0_35_35 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (761) can reduce 1138 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (1138) ~ (all_0_35_35 = e1)
% 109.39/58.32 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1176), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1177) all_0_17_17 = e2
% 109.39/58.32 |
% 109.39/58.32 | Equations (1177) can reduce 396 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (396) ~ (all_0_17_17 = e2)
% 109.39/58.32 | (1180) all_0_17_17 = e1 | all_0_17_17 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1180), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (980) all_0_17_17 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (980) can reduce 817 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (817) ~ (all_0_17_17 = e1)
% 109.39/58.32 | (1184) all_0_17_17 = e0
% 109.39/58.32 |
% 109.39/58.32 | Equations (1184) can reduce 817 to:
% 109.39/58.32 | (498) ~ (e1 = e0)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 498 yields:
% 109.39/58.32 | (40) ~ (e1 = e0)
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (4931), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (4950) all_0_36_36 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (4950,534) yields a new equation:
% 109.39/58.32 | (530) e1 = e0
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 530 yields:
% 109.39/58.32 | (531) e1 = e0
% 109.39/58.32 |
% 109.39/58.32 | Equations (531) can reduce 40 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (423) ~ (all_0_36_36 = e1)
% 109.39/58.32 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (4955), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1112) all_0_37_37 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (847,1112) yields a new equation:
% 109.39/58.32 | (975) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 975 yields:
% 109.39/58.32 | (838) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (838) can reduce 56 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (763) ~ (all_0_37_37 = e1)
% 109.39/58.32 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (5023), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (3222) all_0_38_38 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (3222,3208) yields a new equation:
% 109.39/58.32 | (928) e3 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (928) can reduce 298 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (438) ~ (all_0_38_38 = e1)
% 109.39/58.32 | (1252) all_0_39_39 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (1252) can reduce 291 to:
% 109.39/58.32 | (2946) ~ (all_0_29_29 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Equations (1252) can reduce 571 to:
% 109.39/58.32 | (824) ~ (e3 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 824 yields:
% 109.39/58.32 | (298) ~ (e3 = e1)
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (88), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (941) all_0_29_29 = e4
% 109.39/58.32 |
% 109.39/58.32 | Equations (941) can reduce 2946 to:
% 109.39/58.32 | (56) ~ (e4 = e1)
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (147), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1008) all_0_18_18 = e4
% 109.39/58.32 |
% 109.39/58.32 | Equations (1008) can reduce 458 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (458) ~ (all_0_18_18 = e4)
% 109.39/58.32 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1012), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1022) all_0_23_23 = e4
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (1022,427) yields a new equation:
% 109.39/58.32 | (975) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 975 yields:
% 109.39/58.32 | (838) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (838) can reduce 56 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (1025) ~ (all_0_23_23 = e4)
% 109.39/58.32 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.39/58.32 |
% 109.39/58.32 | Equations (427) can reduce 1025 to:
% 109.39/58.32 | (764) ~ (e4 = e1)
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 764 yields:
% 109.39/58.32 | (56) ~ (e4 = e1)
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1099), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (816) all_0_27_27 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (808,816) yields a new equation:
% 109.39/58.32 | (1113) e3 = e1
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 1113 yields:
% 109.39/58.32 | (928) e3 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (928) can reduce 298 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (857) ~ (all_0_27_27 = e1)
% 109.39/58.32 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (1105), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (1108) all_0_32_32 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (1108) can reduce 419 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.32 | (1112) all_0_37_37 = e1
% 109.39/58.32 |
% 109.39/58.32 | Combining equations (847,1112) yields a new equation:
% 109.39/58.32 | (975) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Simplifying 975 yields:
% 109.39/58.32 | (838) e4 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (838) can reduce 56 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (603) ~ (all_0_29_29 = e4)
% 109.39/58.32 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (5059), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (3056) all_0_29_29 = e3
% 109.39/58.32 |
% 109.39/58.32 | Equations (3056) can reduce 3115 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (3115) ~ (all_0_29_29 = e3)
% 109.39/58.32 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (5198), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (5199) all_0_29_29 = e2
% 109.39/58.32 |
% 109.39/58.32 | Equations (5199) can reduce 479 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (479) ~ (all_0_29_29 = e2)
% 109.39/58.32 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.39/58.32 |
% 109.39/58.32 +-Applying beta-rule and splitting (5202), into two cases.
% 109.39/58.32 |-Branch one:
% 109.39/58.32 | (4599) all_0_29_29 = e1
% 109.39/58.32 |
% 109.39/58.32 | Equations (4599) can reduce 2946 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.32 |-Branch two:
% 109.39/58.32 | (2946) ~ (all_0_29_29 = e1)
% 109.39/58.32 | (5206) all_0_29_29 = e0
% 109.39/58.32 |
% 109.39/58.32 | Equations (5206) can reduce 493 to:
% 109.39/58.32 | (400) $false
% 109.39/58.32 |
% 109.39/58.32 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (679) ~ (all_0_15_15 = e1)
% 109.39/58.33 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1099), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (816) all_0_27_27 = e1
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (816,808) yields a new equation:
% 109.39/58.33 | (928) e3 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (928) can reduce 298 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (857) ~ (all_0_27_27 = e1)
% 109.39/58.33 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (808) can reduce 857 to:
% 109.39/58.33 | (298) ~ (e3 = e1)
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (973), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (974) all_0_16_16 = e1
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (974,454) yields a new equation:
% 109.39/58.33 | (838) e4 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (838) can reduce 56 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (415) ~ (all_0_16_16 = e1)
% 109.39/58.33 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (979), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (980) all_0_17_17 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (980) can reduce 817 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (817) ~ (all_0_17_17 = e1)
% 109.39/58.33 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (983), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (984) all_0_18_18 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (984) can reduce 428 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (428) ~ (all_0_18_18 = e1)
% 109.39/58.33 | (829) all_0_19_19 = e1
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (829,1159) yields a new equation:
% 109.39/58.33 | (928) e3 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (928) can reduce 298 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1002) ~ (all_0_37_37 = e4)
% 109.39/58.33 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (59), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (847) all_0_37_37 = e4
% 109.39/58.33 |
% 109.39/58.33 | Equations (847) can reduce 1002 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1002) ~ (all_0_37_37 = e4)
% 109.39/58.33 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (51), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (793) all_0_17_17 = e4
% 109.39/58.33 |
% 109.39/58.33 | Equations (793) can reduce 456 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.33 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (796), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (797) all_0_22_22 = e4
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (797,442) yields a new equation:
% 109.39/58.33 | (1531) e4 = e2
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 1531 yields:
% 109.39/58.33 | (798) e4 = e2
% 109.39/58.33 |
% 109.39/58.33 | Equations (798) can reduce 21 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (800) ~ (all_0_22_22 = e4)
% 109.39/58.33 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1007), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (936) all_0_37_37 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (936) can reduce 1127 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1127) ~ (all_0_37_37 = e3)
% 109.39/58.33 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1128), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1129) all_0_37_37 = e2
% 109.39/58.33 |
% 109.39/58.33 | Equations (1129) can reduce 450 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (450) ~ (all_0_37_37 = e2)
% 109.39/58.33 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1132), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1112) all_0_37_37 = e1
% 109.39/58.33 |
% 109.39/58.33 | Equations (1112) can reduce 24 to:
% 109.39/58.33 | (12123) ~ (all_0_39_39 = e1)
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 12123 yields:
% 109.39/58.33 | (696) ~ (all_0_39_39 = e1)
% 109.39/58.33 |
% 109.39/58.33 | Equations (1112) can reduce 1127 to:
% 109.39/58.33 | (824) ~ (e3 = e1)
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 824 yields:
% 109.39/58.33 | (298) ~ (e3 = e1)
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (801), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (804) all_0_27_27 = e4
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (804,808) yields a new equation:
% 109.39/58.33 | (596) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 596 yields:
% 109.39/58.33 | (597) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (597) can reduce 255 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (785) ~ (all_0_27_27 = e4)
% 109.39/58.33 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.33 |
% 109.39/58.33 | Equations (808) can reduce 785 to:
% 109.39/58.33 | (558) ~ (e4 = e3)
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 558 yields:
% 109.39/58.33 | (255) ~ (e4 = e3)
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (251), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1278), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1279), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1280), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1281), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1282), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1283), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1284), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1285), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1286), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1287), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1288), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1289), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1290), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1291), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1292), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1293), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1294), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (1295), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.33 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Applying alpha-rule on (1296) yields:
% 109.39/58.33 | (1297) all_0_15_15 = e3
% 109.39/58.33 | (550) all_0_21_21 = e4
% 109.39/58.33 | (1299) ~ (all_0_16_16 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (550,557) yields a new equation:
% 109.39/58.33 | (596) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 596 yields:
% 109.39/58.33 | (597) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (597) can reduce 255 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.39/58.33 |
% 109.39/58.33 | Applying alpha-rule on (1303) yields:
% 109.39/58.33 | (1297) all_0_15_15 = e3
% 109.39/58.33 | (550) all_0_21_21 = e4
% 109.39/58.33 | (1306) ~ (all_0_20_20 = e3)
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (550,557) yields a new equation:
% 109.39/58.33 | (596) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 596 yields:
% 109.39/58.33 | (597) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (597) can reduce 255 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Applying alpha-rule on (1310) yields:
% 109.39/58.33 | (711) all_0_15_15 = e2
% 109.39/58.33 | (804) all_0_27_27 = e4
% 109.39/58.33 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (804,808) yields a new equation:
% 109.39/58.33 | (596) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 596 yields:
% 109.39/58.33 | (597) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (597) can reduce 255 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.39/58.33 |
% 109.39/58.33 | Applying alpha-rule on (1315) yields:
% 109.39/58.33 | (711) all_0_15_15 = e2
% 109.39/58.33 | (804) all_0_27_27 = e4
% 109.39/58.33 | (473) ~ (all_0_25_25 = e2)
% 109.39/58.33 |
% 109.39/58.33 | Combining equations (804,808) yields a new equation:
% 109.39/58.33 | (596) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Simplifying 596 yields:
% 109.39/58.33 | (597) e4 = e3
% 109.39/58.33 |
% 109.39/58.33 | Equations (597) can reduce 255 to:
% 109.39/58.33 | (400) $false
% 109.39/58.33 |
% 109.39/58.33 |-The branch is then unsatisfiable
% 109.39/58.33 |-Branch two:
% 109.39/58.33 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Applying alpha-rule on (1320) yields:
% 109.39/58.33 | (969) all_0_15_15 = e1
% 109.39/58.33 | (1322) all_0_33_33 = e4
% 109.39/58.33 | (458) ~ (all_0_18_18 = e4)
% 109.39/58.33 |
% 109.39/58.33 | Equations (1322) can reduce 574 to:
% 109.39/58.33 | (255) ~ (e4 = e3)
% 109.39/58.33 |
% 109.39/58.33 +-Applying beta-rule and splitting (2983), into two cases.
% 109.39/58.33 |-Branch one:
% 109.39/58.34 | (1846) all_0_38_38 = e4
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1846,3208) yields a new equation:
% 109.39/58.34 | (596) e4 = e3
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 596 yields:
% 109.39/58.34 | (597) e4 = e3
% 109.39/58.34 |
% 109.39/58.34 | Equations (597) can reduce 255 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1835) ~ (all_0_38_38 = e4)
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 607 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1326) yields:
% 109.39/58.34 | (969) all_0_15_15 = e1
% 109.39/58.34 | (1322) all_0_33_33 = e4
% 109.39/58.34 | (417) ~ (all_0_30_30 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1322) can reduce 574 to:
% 109.39/58.34 | (255) ~ (e4 = e3)
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (2983), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (1846) all_0_38_38 = e4
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1846,3208) yields a new equation:
% 109.39/58.34 | (596) e4 = e3
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 596 yields:
% 109.39/58.34 | (597) e4 = e3
% 109.39/58.34 |
% 109.39/58.34 | Equations (597) can reduce 255 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1835) ~ (all_0_38_38 = e4)
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 607 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1332) yields:
% 109.39/58.34 | (736) all_0_15_15 = e0
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 | (460) ~ (all_0_19_19 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 607 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1339) yields:
% 109.39/58.34 | (736) all_0_15_15 = e0
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 | (536) ~ (all_0_35_35 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 607 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1346) yields:
% 109.39/58.34 | (1347) all_0_21_21 = e2
% 109.39/58.34 | (808) all_0_27_27 = e3
% 109.39/58.34 | (925) ~ (all_0_22_22 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1347,557) yields a new equation:
% 109.39/58.34 | (615) e3 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (615) can reduce 52 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1352) yields:
% 109.39/58.34 | (1347) all_0_21_21 = e2
% 109.39/58.34 | (808) all_0_27_27 = e3
% 109.39/58.34 | (1355) ~ (all_0_26_26 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1347,557) yields a new equation:
% 109.39/58.34 | (615) e3 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (615) can reduce 52 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1358) yields:
% 109.39/58.34 | (1359) all_0_21_21 = e1
% 109.39/58.34 | (1360) all_0_33_33 = e3
% 109.39/58.34 | (1361) ~ (all_0_23_23 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1359,557) yields a new equation:
% 109.39/58.34 | (928) e3 = e1
% 109.39/58.34 |
% 109.39/58.34 | Equations (928) can reduce 298 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1367) yields:
% 109.39/58.34 | (1359) all_0_21_21 = e1
% 109.39/58.34 | (1360) all_0_33_33 = e3
% 109.39/58.34 | (1370) ~ (all_0_31_31 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (1359,557) yields a new equation:
% 109.39/58.34 | (928) e3 = e1
% 109.39/58.34 |
% 109.39/58.34 | Equations (928) can reduce 298 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1376) yields:
% 109.39/58.34 | (519) all_0_21_21 = e0
% 109.39/58.34 | (701) all_0_39_39 = e3
% 109.39/58.34 | (1379) ~ (all_0_24_24 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (519,557) yields a new equation:
% 109.39/58.34 | (648) e3 = e0
% 109.39/58.34 |
% 109.39/58.34 | Equations (648) can reduce 80 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1385) yields:
% 109.39/58.34 | (519) all_0_21_21 = e0
% 109.39/58.34 | (701) all_0_39_39 = e3
% 109.39/58.34 | (1388) ~ (all_0_36_36 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (519,557) yields a new equation:
% 109.39/58.34 | (648) e3 = e0
% 109.39/58.34 |
% 109.39/58.34 | Equations (648) can reduce 80 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1394) yields:
% 109.39/58.34 | (816) all_0_27_27 = e1
% 109.39/58.34 | (637) all_0_33_33 = e2
% 109.39/58.34 | (477) ~ (all_0_28_28 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (816,808) yields a new equation:
% 109.39/58.34 | (928) e3 = e1
% 109.39/58.34 |
% 109.39/58.34 | Equations (928) can reduce 298 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1421) yields:
% 109.39/58.34 | (816) all_0_27_27 = e1
% 109.39/58.34 | (637) all_0_33_33 = e2
% 109.39/58.34 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (816,808) yields a new equation:
% 109.39/58.34 | (928) e3 = e1
% 109.39/58.34 |
% 109.39/58.34 | Equations (928) can reduce 298 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1448) yields:
% 109.39/58.34 | (995) all_0_27_27 = e0
% 109.39/58.34 | (705) all_0_39_39 = e2
% 109.39/58.34 | (479) ~ (all_0_29_29 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (995,808) yields a new equation:
% 109.39/58.34 | (648) e3 = e0
% 109.39/58.34 |
% 109.39/58.34 | Equations (648) can reduce 80 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1455) yields:
% 109.39/58.34 | (995) all_0_27_27 = e0
% 109.39/58.34 | (705) all_0_39_39 = e2
% 109.39/58.34 | (538) ~ (all_0_37_37 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (995,808) yields a new equation:
% 109.39/58.34 | (648) e3 = e0
% 109.39/58.34 |
% 109.39/58.34 | Equations (648) can reduce 80 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1462) yields:
% 109.39/58.34 | (1463) all_0_33_33 = e0
% 109.39/58.34 | (1252) all_0_39_39 = e1
% 109.39/58.34 | (421) ~ (all_0_34_34 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1252) can reduce 696 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Applying alpha-rule on (1469) yields:
% 109.39/58.34 | (1463) all_0_33_33 = e0
% 109.39/58.34 | (1252) all_0_39_39 = e1
% 109.39/58.34 | (540) ~ (all_0_38_38 = e0)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1252) can reduce 696 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (763) ~ (all_0_37_37 = e1)
% 109.39/58.34 | (1136) all_0_37_37 = e0
% 109.39/58.34 |
% 109.39/58.34 | Equations (1136) can reduce 538 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 | (11789) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 291 to:
% 109.39/58.34 | (603) ~ (all_0_29_29 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 85 to:
% 109.39/58.34 | (2554) ~ (all_0_34_34 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 63 to:
% 109.39/58.34 | (509) ~ (all_0_35_35 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 24 to:
% 109.39/58.34 | (1002) ~ (all_0_37_37 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 571 to:
% 109.39/58.34 | (255) ~ (e4 = e3)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 542 to:
% 109.39/58.34 | (267) ~ (e4 = e0)
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (88), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (941) all_0_29_29 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (941) can reduce 603 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (603) ~ (all_0_29_29 = e4)
% 109.39/58.34 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (55), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (590) all_0_25_25 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (590) can reduce 505 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (505) ~ (all_0_25_25 = e4)
% 109.39/58.34 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (121), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (732) all_0_35_35 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (732) can reduce 309 to:
% 109.39/58.34 | (449) ~ (all_0_37_37 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 449 yields:
% 109.39/58.34 | (450) ~ (all_0_37_37 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Equations (732) can reduce 509 to:
% 109.39/58.34 | (482) ~ (e4 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 482 yields:
% 109.39/58.34 | (21) ~ (e4 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Equations (732) can reduce 585 to:
% 109.39/58.34 | (643) ~ (e3 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 643 yields:
% 109.39/58.34 | (52) ~ (e3 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Equations (732) can reduce 536 to:
% 109.39/58.34 | (336) ~ (e2 = e0)
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (59), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (847) all_0_37_37 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (847) can reduce 1002 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1002) ~ (all_0_37_37 = e4)
% 109.39/58.34 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (51), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (793) all_0_17_17 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (793) can reduce 456 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.34 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (790), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (832) all_0_26_26 = e4
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (471,832) yields a new equation:
% 109.39/58.34 | (798) e4 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (798) can reduce 21 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (464) ~ (all_0_26_26 = e4)
% 109.39/58.34 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.39/58.34 |
% 109.39/58.34 | Equations (471) can reduce 464 to:
% 109.39/58.34 | (482) ~ (e4 = e2)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 482 yields:
% 109.39/58.34 | (21) ~ (e4 = e2)
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (796), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (797) all_0_22_22 = e4
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (442,797) yields a new equation:
% 109.39/58.34 | (798) e4 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (798) can reduce 21 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (800) ~ (all_0_22_22 = e4)
% 109.39/58.34 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (1007), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (936) all_0_37_37 = e3
% 109.39/58.34 |
% 109.39/58.34 | Equations (936) can reduce 1127 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (1127) ~ (all_0_37_37 = e3)
% 109.39/58.34 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (31), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (607) ~ (all_0_39_39 = e4)
% 109.39/58.34 |
% 109.39/58.34 | Equations (697) can reduce 607 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (697) all_0_39_39 = e4
% 109.39/58.34 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (1128), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (1129) all_0_37_37 = e2
% 109.39/58.34 |
% 109.39/58.34 | Equations (1129) can reduce 450 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (450) ~ (all_0_37_37 = e2)
% 109.39/58.34 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (1132), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (1112) all_0_37_37 = e1
% 109.39/58.34 |
% 109.39/58.34 | Equations (1112) can reduce 211 to:
% 109.39/58.34 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1112) can reduce 1002 to:
% 109.39/58.34 | (764) ~ (e4 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 764 yields:
% 109.39/58.34 | (56) ~ (e4 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1112) can reduce 1127 to:
% 109.39/58.34 | (824) ~ (e3 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Simplifying 824 yields:
% 109.39/58.34 | (298) ~ (e3 = e1)
% 109.39/58.34 |
% 109.39/58.34 | Equations (1112) can reduce 538 to:
% 109.39/58.34 | (40) ~ (e1 = e0)
% 109.39/58.34 |
% 109.39/58.34 +-Applying beta-rule and splitting (836), into two cases.
% 109.39/58.34 |-Branch one:
% 109.39/58.34 | (804) all_0_27_27 = e4
% 109.39/58.34 |
% 109.39/58.34 | Combining equations (808,804) yields a new equation:
% 109.39/58.34 | (597) e4 = e3
% 109.39/58.34 |
% 109.39/58.34 | Equations (597) can reduce 255 to:
% 109.39/58.34 | (400) $false
% 109.39/58.34 |
% 109.39/58.34 |-The branch is then unsatisfiable
% 109.39/58.34 |-Branch two:
% 109.39/58.34 | (785) ~ (all_0_27_27 = e4)
% 109.39/58.34 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 109.39/58.34 |
% 109.39/58.35 | Equations (808) can reduce 785 to:
% 109.39/58.35 | (558) ~ (e4 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 558 yields:
% 109.39/58.35 | (255) ~ (e4 = e3)
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (801), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (804) all_0_27_27 = e4
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (808,804) yields a new equation:
% 109.39/58.35 | (597) e4 = e3
% 109.39/58.35 |
% 109.39/58.35 | Equations (597) can reduce 255 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (785) ~ (all_0_27_27 = e4)
% 109.39/58.35 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (841), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (609) all_0_32_32 = e4
% 109.39/58.35 |
% 109.39/58.35 | Equations (609) can reduce 105 to:
% 109.39/58.35 | (2564) ~ (all_0_33_33 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 2564 yields:
% 109.39/58.35 | (594) ~ (all_0_33_33 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Equations (609) can reduce 579 to:
% 109.39/58.35 | (255) ~ (e4 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Equations (609) can reduce 419 to:
% 109.39/58.35 | (56) ~ (e4 = e1)
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (327), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1184) all_0_17_17 = e0
% 109.39/58.35 |
% 109.39/58.35 | Equations (1184) can reduce 344 to:
% 109.39/58.35 | (739) ~ (all_0_15_15 = e0)
% 109.39/58.35 |
% 109.39/58.35 | Equations (1184) can reduce 919 to:
% 109.39/58.35 | (665) ~ (e3 = e0)
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 665 yields:
% 109.39/58.35 | (80) ~ (e3 = e0)
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (123), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (736) all_0_15_15 = e0
% 109.39/58.35 |
% 109.39/58.35 | Equations (736) can reduce 739 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (739) ~ (all_0_15_15 = e0)
% 109.39/58.35 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (304), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (646) all_0_30_30 = e0
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (575,646) yields a new equation:
% 109.39/58.35 | (647) e3 = e0
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 647 yields:
% 109.39/58.35 | (648) e3 = e0
% 109.39/58.35 |
% 109.39/58.35 | Equations (648) can reduce 80 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (650) ~ (all_0_30_30 = e0)
% 109.39/58.35 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.39/58.35 |
% 109.39/58.35 | Equations (575) can reduce 650 to:
% 109.39/58.35 | (80) ~ (e3 = e0)
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (288), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (607) ~ (all_0_39_39 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Equations (697) can reduce 607 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (697) all_0_39_39 = e4
% 109.39/58.35 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (168), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1163) all_0_19_19 = e2
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (1163,1159) yields a new equation:
% 109.39/58.35 | (615) e3 = e2
% 109.39/58.35 |
% 109.39/58.35 | Equations (615) can reduce 52 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (706) ~ (all_0_19_19 = e2)
% 109.39/58.35 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.39/58.35 |
% 109.39/58.35 | Equations (1159) can reduce 706 to:
% 109.39/58.35 | (52) ~ (e3 = e2)
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (251), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1278), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1279), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1280), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1281), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1282), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1283), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1284), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1285), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1286), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1287), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1288), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1289), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1290), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1291), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1292), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1293), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1294), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.39/58.35 |
% 109.39/58.35 +-Applying beta-rule and splitting (1295), into two cases.
% 109.39/58.35 |-Branch one:
% 109.39/58.35 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1296) yields:
% 109.39/58.35 | (1297) all_0_15_15 = e3
% 109.39/58.35 | (550) all_0_21_21 = e4
% 109.39/58.35 | (1299) ~ (all_0_16_16 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (557,550) yields a new equation:
% 109.39/58.35 | (597) e4 = e3
% 109.39/58.35 |
% 109.39/58.35 | Equations (597) can reduce 255 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1303) yields:
% 109.39/58.35 | (1297) all_0_15_15 = e3
% 109.39/58.35 | (550) all_0_21_21 = e4
% 109.39/58.35 | (1306) ~ (all_0_20_20 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (557,550) yields a new equation:
% 109.39/58.35 | (597) e4 = e3
% 109.39/58.35 |
% 109.39/58.35 | Equations (597) can reduce 255 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1310) yields:
% 109.39/58.35 | (711) all_0_15_15 = e2
% 109.39/58.35 | (804) all_0_27_27 = e4
% 109.39/58.35 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (808,804) yields a new equation:
% 109.39/58.35 | (597) e4 = e3
% 109.39/58.35 |
% 109.39/58.35 | Equations (597) can reduce 255 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1315) yields:
% 109.39/58.35 | (711) all_0_15_15 = e2
% 109.39/58.35 | (804) all_0_27_27 = e4
% 109.39/58.35 | (473) ~ (all_0_25_25 = e2)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (808,804) yields a new equation:
% 109.39/58.35 | (597) e4 = e3
% 109.39/58.35 |
% 109.39/58.35 | Equations (597) can reduce 255 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1320) yields:
% 109.39/58.35 | (969) all_0_15_15 = e1
% 109.39/58.35 | (1322) all_0_33_33 = e4
% 109.39/58.35 | (458) ~ (all_0_18_18 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Equations (1322) can reduce 594 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1326) yields:
% 109.39/58.35 | (969) all_0_15_15 = e1
% 109.39/58.35 | (1322) all_0_33_33 = e4
% 109.39/58.35 | (417) ~ (all_0_30_30 = e1)
% 109.39/58.35 |
% 109.39/58.35 | Equations (1322) can reduce 594 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1332) yields:
% 109.39/58.35 | (736) all_0_15_15 = e0
% 109.39/58.35 | (697) all_0_39_39 = e4
% 109.39/58.35 | (460) ~ (all_0_19_19 = e4)
% 109.39/58.35 |
% 109.39/58.35 | Equations (736) can reduce 739 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1339) yields:
% 109.39/58.35 | (736) all_0_15_15 = e0
% 109.39/58.35 | (697) all_0_39_39 = e4
% 109.39/58.35 | (536) ~ (all_0_35_35 = e0)
% 109.39/58.35 |
% 109.39/58.35 | Equations (736) can reduce 739 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1346) yields:
% 109.39/58.35 | (1347) all_0_21_21 = e2
% 109.39/58.35 | (808) all_0_27_27 = e3
% 109.39/58.35 | (925) ~ (all_0_22_22 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (557,1347) yields a new equation:
% 109.39/58.35 | (614) e3 = e2
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 614 yields:
% 109.39/58.35 | (615) e3 = e2
% 109.39/58.35 |
% 109.39/58.35 | Equations (615) can reduce 52 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1352) yields:
% 109.39/58.35 | (1347) all_0_21_21 = e2
% 109.39/58.35 | (808) all_0_27_27 = e3
% 109.39/58.35 | (1355) ~ (all_0_26_26 = e2)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (557,1347) yields a new equation:
% 109.39/58.35 | (614) e3 = e2
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 614 yields:
% 109.39/58.35 | (615) e3 = e2
% 109.39/58.35 |
% 109.39/58.35 | Equations (615) can reduce 52 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.35 |-Branch two:
% 109.39/58.35 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Applying alpha-rule on (1358) yields:
% 109.39/58.35 | (1359) all_0_21_21 = e1
% 109.39/58.35 | (1360) all_0_33_33 = e3
% 109.39/58.35 | (1361) ~ (all_0_23_23 = e3)
% 109.39/58.35 |
% 109.39/58.35 | Combining equations (557,1359) yields a new equation:
% 109.39/58.35 | (1113) e3 = e1
% 109.39/58.35 |
% 109.39/58.35 | Simplifying 1113 yields:
% 109.39/58.35 | (928) e3 = e1
% 109.39/58.35 |
% 109.39/58.35 | Equations (928) can reduce 298 to:
% 109.39/58.35 | (400) $false
% 109.39/58.35 |
% 109.39/58.35 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1367) yields:
% 109.39/58.36 | (1359) all_0_21_21 = e1
% 109.39/58.36 | (1360) all_0_33_33 = e3
% 109.39/58.36 | (1370) ~ (all_0_31_31 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (557,1359) yields a new equation:
% 109.39/58.36 | (1113) e3 = e1
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 1113 yields:
% 109.39/58.36 | (928) e3 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (928) can reduce 298 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1376) yields:
% 109.39/58.36 | (519) all_0_21_21 = e0
% 109.39/58.36 | (701) all_0_39_39 = e3
% 109.39/58.36 | (1379) ~ (all_0_24_24 = e3)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (557,519) yields a new equation:
% 109.39/58.36 | (647) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 647 yields:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1385) yields:
% 109.39/58.36 | (519) all_0_21_21 = e0
% 109.39/58.36 | (701) all_0_39_39 = e3
% 109.39/58.36 | (1388) ~ (all_0_36_36 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (557,519) yields a new equation:
% 109.39/58.36 | (647) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 647 yields:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1394) yields:
% 109.39/58.36 | (816) all_0_27_27 = e1
% 109.39/58.36 | (637) all_0_33_33 = e2
% 109.39/58.36 | (477) ~ (all_0_28_28 = e2)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (816,808) yields a new equation:
% 109.39/58.36 | (928) e3 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (928) can reduce 298 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1421) yields:
% 109.39/58.36 | (816) all_0_27_27 = e1
% 109.39/58.36 | (637) all_0_33_33 = e2
% 109.39/58.36 | (419) ~ (all_0_32_32 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (816,808) yields a new equation:
% 109.39/58.36 | (928) e3 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (928) can reduce 298 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1448) yields:
% 109.39/58.36 | (995) all_0_27_27 = e0
% 109.39/58.36 | (705) all_0_39_39 = e2
% 109.39/58.36 | (479) ~ (all_0_29_29 = e2)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (995,808) yields a new equation:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1455) yields:
% 109.39/58.36 | (995) all_0_27_27 = e0
% 109.39/58.36 | (705) all_0_39_39 = e2
% 109.39/58.36 | (538) ~ (all_0_37_37 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (995,808) yields a new equation:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1462) yields:
% 109.39/58.36 | (1463) all_0_33_33 = e0
% 109.39/58.36 | (1252) all_0_39_39 = e1
% 109.39/58.36 | (421) ~ (all_0_34_34 = e1)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (1252,697) yields a new equation:
% 109.39/58.36 | (838) e4 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (838) can reduce 56 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Applying alpha-rule on (1469) yields:
% 109.39/58.36 | (1463) all_0_33_33 = e0
% 109.39/58.36 | (1252) all_0_39_39 = e1
% 109.39/58.36 | (540) ~ (all_0_38_38 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (1252,697) yields a new equation:
% 109.39/58.36 | (838) e4 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (838) can reduce 56 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (659) ~ (all_0_17_17 = e0)
% 109.39/58.36 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (304), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (646) all_0_30_30 = e0
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (575,646) yields a new equation:
% 109.39/58.36 | (647) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 647 yields:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (650) ~ (all_0_30_30 = e0)
% 109.39/58.36 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (575) can reduce 650 to:
% 109.39/58.36 | (80) ~ (e3 = e0)
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (4262), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (4273) all_0_22_22 = e0
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (442,4273) yields a new equation:
% 109.39/58.36 | (524) e2 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 524 yields:
% 109.39/58.36 | (525) e2 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (525) can reduce 336 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (4277) ~ (all_0_22_22 = e0)
% 109.39/58.36 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (4278), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (995) all_0_27_27 = e0
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (808,995) yields a new equation:
% 109.39/58.36 | (647) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 647 yields:
% 109.39/58.36 | (648) e3 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (648) can reduce 80 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (660) ~ (all_0_27_27 = e0)
% 109.39/58.36 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (4292), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (658) all_0_32_32 = e0
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (609,658) yields a new equation:
% 109.39/58.36 | (743) e4 = e0
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 743 yields:
% 109.39/58.36 | (515) e4 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (515) can reduce 267 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (889) ~ (all_0_32_32 = e0)
% 109.39/58.36 | (1136) all_0_37_37 = e0
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (1136,1112) yields a new equation:
% 109.39/58.36 | (531) e1 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (531) can reduce 40 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (604) ~ (all_0_32_32 = e4)
% 109.39/58.36 | (847) all_0_37_37 = e4
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (1112,847) yields a new equation:
% 109.39/58.36 | (838) e4 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (838) can reduce 56 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (763) ~ (all_0_37_37 = e1)
% 109.39/58.36 | (1136) all_0_37_37 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (1136) can reduce 538 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (719) ~ (all_0_35_35 = e2)
% 109.39/58.36 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (1477), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (1478) all_0_36_36 = e2
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (534,1478) yields a new equation:
% 109.39/58.36 | (525) e2 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (525) can reduce 336 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (481) ~ (all_0_36_36 = e2)
% 109.39/58.36 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.39/58.36 |
% 109.39/58.36 | Equations (534) can reduce 481 to:
% 109.39/58.36 | (496) ~ (e2 = e0)
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 496 yields:
% 109.39/58.36 | (336) ~ (e2 = e0)
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (51), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (793) all_0_17_17 = e4
% 109.39/58.36 |
% 109.39/58.36 | Equations (793) can reduce 456 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (456) ~ (all_0_17_17 = e4)
% 109.39/58.36 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (128), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (724) all_0_35_35 = e4
% 109.39/58.36 |
% 109.39/58.36 | Equations (724) can reduce 509 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (509) ~ (all_0_35_35 = e4)
% 109.39/58.36 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (262), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (829) all_0_19_19 = e1
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (829,1159) yields a new equation:
% 109.39/58.36 | (928) e3 = e1
% 109.39/58.36 |
% 109.39/58.36 | Equations (928) can reduce 298 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (943) ~ (all_0_19_19 = e1)
% 109.39/58.36 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (288), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (607) ~ (all_0_39_39 = e4)
% 109.39/58.36 |
% 109.39/58.36 | Equations (697) can reduce 607 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (697) all_0_39_39 = e4
% 109.39/58.36 | (3536) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e1) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (796), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (797) all_0_22_22 = e4
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (797,442) yields a new equation:
% 109.39/58.36 | (1531) e4 = e2
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 1531 yields:
% 109.39/58.36 | (798) e4 = e2
% 109.39/58.36 |
% 109.39/58.36 | Equations (798) can reduce 21 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (800) ~ (all_0_22_22 = e4)
% 109.39/58.36 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.36 |
% 109.39/58.36 | Equations (442) can reduce 800 to:
% 109.39/58.36 | (482) ~ (e4 = e2)
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 482 yields:
% 109.39/58.36 | (21) ~ (e4 = e2)
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (801), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (804) all_0_27_27 = e4
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (804,808) yields a new equation:
% 109.39/58.36 | (596) e4 = e3
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 596 yields:
% 109.39/58.36 | (597) e4 = e3
% 109.39/58.36 |
% 109.39/58.36 | Equations (597) can reduce 255 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (785) ~ (all_0_27_27 = e4)
% 109.39/58.36 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.39/58.36 |
% 109.39/58.36 | Equations (808) can reduce 785 to:
% 109.39/58.36 | (558) ~ (e4 = e3)
% 109.39/58.36 |
% 109.39/58.36 | Simplifying 558 yields:
% 109.39/58.36 | (255) ~ (e4 = e3)
% 109.39/58.36 |
% 109.39/58.36 +-Applying beta-rule and splitting (944), into two cases.
% 109.39/58.36 |-Branch one:
% 109.39/58.36 | (8658) all_0_24_24 = e1
% 109.39/58.36 |
% 109.39/58.36 | Combining equations (488,8658) yields a new equation:
% 109.39/58.36 | (531) e1 = e0
% 109.39/58.36 |
% 109.39/58.36 | Equations (531) can reduce 40 to:
% 109.39/58.36 | (400) $false
% 109.39/58.36 |
% 109.39/58.36 |-The branch is then unsatisfiable
% 109.39/58.36 |-Branch two:
% 109.39/58.36 | (432) ~ (all_0_24_24 = e1)
% 109.39/58.36 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.39/58.36 |
% 109.39/58.37 +-Applying beta-rule and splitting (8663), into two cases.
% 109.39/58.37 |-Branch one:
% 109.39/58.37 | (4599) all_0_29_29 = e1
% 109.39/58.37 |
% 109.39/58.37 | Equations (4599) can reduce 7 to:
% 109.39/58.37 | (1519) ~ (all_0_25_25 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Equations (4599) can reduce 603 to:
% 109.39/58.37 | (764) ~ (e4 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Simplifying 764 yields:
% 109.39/58.37 | (56) ~ (e4 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Equations (4599) can reduce 3115 to:
% 109.39/58.37 | (824) ~ (e3 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Simplifying 824 yields:
% 109.39/58.37 | (298) ~ (e3 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Equations (4599) can reduce 479 to:
% 109.39/58.37 | (766) ~ (e2 = e1)
% 109.39/58.37 |
% 109.39/58.37 | Simplifying 766 yields:
% 109.39/58.37 | (310) ~ (e2 = e1)
% 109.39/58.37 |
% 109.39/58.37 +-Applying beta-rule and splitting (237), into two cases.
% 109.39/58.37 |-Branch one:
% 109.39/58.37 | (590) all_0_25_25 = e4
% 109.39/58.37 |
% 109.39/58.37 | Equations (590) can reduce 505 to:
% 109.39/58.37 | (400) $false
% 109.39/58.37 |
% 109.39/58.37 |-The branch is then unsatisfiable
% 109.39/58.37 |-Branch two:
% 109.39/58.37 | (505) ~ (all_0_25_25 = e4)
% 109.39/58.37 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.39/58.37 |
% 109.39/58.37 +-Applying beta-rule and splitting (168), into two cases.
% 109.39/58.37 |-Branch one:
% 109.39/58.37 | (1163) all_0_19_19 = e2
% 109.39/58.37 |
% 109.39/58.37 | Combining equations (1163,1159) yields a new equation:
% 109.39/58.37 | (615) e3 = e2
% 109.39/58.37 |
% 109.39/58.37 | Equations (615) can reduce 52 to:
% 109.39/58.37 | (400) $false
% 109.39/58.37 |
% 109.39/58.37 |-The branch is then unsatisfiable
% 109.39/58.37 |-Branch two:
% 109.39/58.37 | (706) ~ (all_0_19_19 = e2)
% 109.39/58.37 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.39/58.37 |
% 109.39/58.37 | Equations (1159) can reduce 706 to:
% 109.39/58.37 | (52) ~ (e3 = e2)
% 109.39/58.37 |
% 109.39/58.37 +-Applying beta-rule and splitting (179), into two cases.
% 109.39/58.37 |-Branch one:
% 109.39/58.37 | (711) all_0_15_15 = e2
% 109.39/58.37 |
% 109.39/58.37 | Equations (711) can reduce 39 to:
% 109.39/58.37 | (718) ~ (all_0_35_35 = e2)
% 109.39/58.37 |
% 109.47/58.37 | Simplifying 718 yields:
% 109.47/58.37 | (719) ~ (all_0_35_35 = e2)
% 109.47/58.37 |
% 109.47/58.37 | Equations (711) can reduce 501 to:
% 109.47/58.37 | (482) ~ (e4 = e2)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 482 yields:
% 109.47/58.37 | (21) ~ (e4 = e2)
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (114), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (969) all_0_15_15 = e1
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (969,711) yields a new equation:
% 109.47/58.37 | (621) e2 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (621) can reduce 310 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (679) ~ (all_0_15_15 = e1)
% 109.47/58.37 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (7045), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (7046) all_0_24_24 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (488,7046) yields a new equation:
% 109.47/58.37 | (525) e2 = e0
% 109.47/58.37 |
% 109.47/58.37 | Equations (525) can reduce 336 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (446) ~ (all_0_24_24 = e2)
% 109.47/58.37 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1402), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1490) all_0_20_20 = e1
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (1490,500) yields a new equation:
% 109.47/58.37 | (838) e4 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (838) can reduce 56 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (429) ~ (all_0_20_20 = e1)
% 109.47/58.37 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1494), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1495) all_0_25_25 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (1495) can reduce 1519 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (1519) ~ (all_0_25_25 = e1)
% 109.47/58.37 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1520), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1521) all_0_30_30 = e1
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (575,1521) yields a new equation:
% 109.47/58.37 | (1113) e3 = e1
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 1113 yields:
% 109.47/58.37 | (928) e3 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (928) can reduce 298 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.37 | (761) all_0_35_35 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (761) can reduce 509 to:
% 109.47/58.37 | (764) ~ (e4 = e1)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 764 yields:
% 109.47/58.37 | (56) ~ (e4 = e1)
% 109.47/58.37 |
% 109.47/58.37 | Equations (761) can reduce 719 to:
% 109.47/58.37 | (766) ~ (e2 = e1)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 766 yields:
% 109.47/58.37 | (310) ~ (e2 = e1)
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (31), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (607) ~ (all_0_39_39 = e4)
% 109.47/58.37 |
% 109.47/58.37 | Equations (697) can reduce 607 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (697) all_0_39_39 = e4
% 109.47/58.37 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (7050), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (5199) all_0_29_29 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (4599,5199) yields a new equation:
% 109.47/58.37 | (621) e2 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (621) can reduce 310 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (479) ~ (all_0_29_29 = e2)
% 109.47/58.37 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (7056), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (2551) all_0_34_34 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (2551) can reduce 2554 to:
% 109.47/58.37 | (482) ~ (e4 = e2)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 482 yields:
% 109.47/58.37 | (21) ~ (e4 = e2)
% 109.47/58.37 |
% 109.47/58.37 | Equations (2551) can reduce 583 to:
% 109.47/58.37 | (643) ~ (e3 = e2)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 643 yields:
% 109.47/58.37 | (52) ~ (e3 = e2)
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (790), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (832) all_0_26_26 = e4
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (471,832) yields a new equation:
% 109.47/58.37 | (798) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (798) can reduce 21 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (464) ~ (all_0_26_26 = e4)
% 109.47/58.37 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (836), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (804) all_0_27_27 = e4
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (808,804) yields a new equation:
% 109.47/58.37 | (597) e4 = e3
% 109.47/58.37 |
% 109.47/58.37 | Equations (597) can reduce 255 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (785) ~ (all_0_27_27 = e4)
% 109.47/58.37 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (853), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (854) all_0_28_28 = e4
% 109.47/58.37 |
% 109.47/58.37 | Equations (854) can reduce 477 to:
% 109.47/58.37 | (21) ~ (e4 = e2)
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1482), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1129) all_0_37_37 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (1129) can reduce 450 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (450) ~ (all_0_37_37 = e2)
% 109.47/58.37 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (4528), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (3218) all_0_38_38 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (3218,3208) yields a new equation:
% 109.47/58.37 | (615) e3 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (615) can reduce 52 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (2728) ~ (all_0_38_38 = e2)
% 109.47/58.37 | (705) all_0_39_39 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (697,705) yields a new equation:
% 109.47/58.37 | (1531) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 1531 yields:
% 109.47/58.37 | (798) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (798) can reduce 21 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (883) ~ (all_0_28_28 = e4)
% 109.47/58.37 | (941) all_0_29_29 = e4
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (4599,941) yields a new equation:
% 109.47/58.37 | (838) e4 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (838) can reduce 56 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (4340) ~ (all_0_34_34 = e2)
% 109.47/58.37 | (705) all_0_39_39 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (705,697) yields a new equation:
% 109.47/58.37 | (798) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (798) can reduce 21 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (769) ~ (all_0_15_15 = e2)
% 109.47/58.37 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (593), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1698) all_0_25_25 = e3
% 109.47/58.37 |
% 109.47/58.37 | Equations (1698) can reduce 577 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (577) ~ (all_0_25_25 = e3)
% 109.47/58.37 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1701), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1536) all_0_25_25 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (1536) can reduce 473 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.37 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1705), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1495) all_0_25_25 = e1
% 109.47/58.37 |
% 109.47/58.37 | Equations (1495) can reduce 1519 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (1519) ~ (all_0_25_25 = e1)
% 109.47/58.37 | (749) all_0_25_25 = e0
% 109.47/58.37 |
% 109.47/58.37 | Equations (749) can reduce 473 to:
% 109.47/58.37 | (496) ~ (e2 = e0)
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 496 yields:
% 109.47/58.37 | (336) ~ (e2 = e0)
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1529), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1530) all_0_20_20 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (500,1530) yields a new equation:
% 109.47/58.37 | (1531) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Simplifying 1531 yields:
% 109.47/58.37 | (798) e4 = e2
% 109.47/58.37 |
% 109.47/58.37 | Equations (798) can reduce 21 to:
% 109.47/58.37 | (400) $false
% 109.47/58.37 |
% 109.47/58.37 |-The branch is then unsatisfiable
% 109.47/58.37 |-Branch two:
% 109.47/58.37 | (444) ~ (all_0_20_20 = e2)
% 109.47/58.37 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.37 |
% 109.47/58.37 +-Applying beta-rule and splitting (1535), into two cases.
% 109.47/58.37 |-Branch one:
% 109.47/58.37 | (1536) all_0_25_25 = e2
% 109.47/58.37 |
% 109.47/58.37 | Combining equations (749,1536) yields a new equation:
% 109.47/58.38 | (525) e2 = e0
% 109.47/58.38 |
% 109.47/58.38 | Equations (525) can reduce 336 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.38 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (1539), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (613) all_0_30_30 = e2
% 109.47/58.38 |
% 109.47/58.38 | Combining equations (575,613) yields a new equation:
% 109.47/58.38 | (614) e3 = e2
% 109.47/58.38 |
% 109.47/58.38 | Simplifying 614 yields:
% 109.47/58.38 | (615) e3 = e2
% 109.47/58.38 |
% 109.47/58.38 | Equations (615) can reduce 52 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (617) ~ (all_0_30_30 = e2)
% 109.47/58.38 | (732) all_0_35_35 = e2
% 109.47/58.38 |
% 109.47/58.38 | Equations (732) can reduce 719 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (2946) ~ (all_0_29_29 = e1)
% 109.47/58.38 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (11125), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (4342) all_0_34_34 = e1
% 109.47/58.38 |
% 109.47/58.38 | Equations (4342) can reduce 421 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (421) ~ (all_0_34_34 = e1)
% 109.47/58.38 | (1252) all_0_39_39 = e1
% 109.47/58.38 |
% 109.47/58.38 | Combining equations (697,1252) yields a new equation:
% 109.47/58.38 | (975) e4 = e1
% 109.47/58.38 |
% 109.47/58.38 | Simplifying 975 yields:
% 109.47/58.38 | (838) e4 = e1
% 109.47/58.38 |
% 109.47/58.38 | Equations (838) can reduce 56 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (3095) ~ (all_0_38_38 = e3)
% 109.47/58.38 | (701) all_0_39_39 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (701) can reduce 571 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (1150) ~ (all_0_19_19 = e3)
% 109.47/58.38 | (4772) all_0_24_24 = e3 | all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (4772), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (4773) all_0_24_24 = e3
% 109.47/58.38 |
% 109.47/58.38 | Combining equations (488,4773) yields a new equation:
% 109.47/58.38 | (648) e3 = e0
% 109.47/58.38 |
% 109.47/58.38 | Equations (648) can reduce 80 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (1379) ~ (all_0_24_24 = e3)
% 109.47/58.38 | (4777) all_0_29_29 = e3 | all_0_34_34 = e3 | all_0_39_39 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (4777), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (3056) all_0_29_29 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (3056) can reduce 3115 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (3115) ~ (all_0_29_29 = e3)
% 109.47/58.38 | (4794) all_0_34_34 = e3 | all_0_39_39 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (4794), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (2571) all_0_34_34 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (2571) can reduce 583 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (583) ~ (all_0_34_34 = e3)
% 109.47/58.38 | (701) all_0_39_39 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (701) can reduce 571 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (1800) ~ (all_0_30_30 = e3)
% 109.47/58.38 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (232), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (1297) all_0_15_15 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (1297) can reduce 572 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (572) ~ (all_0_15_15 = e3)
% 109.47/58.38 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (6679), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (6724) all_0_31_31 = e3
% 109.47/58.38 |
% 109.47/58.38 | Combining equations (414,6724) yields a new equation:
% 109.47/58.38 | (928) e3 = e1
% 109.47/58.38 |
% 109.47/58.38 | Equations (928) can reduce 298 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (6728) ~ (all_0_31_31 = e3)
% 109.47/58.38 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (6683), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (6785) all_0_20_20 = e3
% 109.47/58.38 |
% 109.47/58.38 | Combining equations (6785,500) yields a new equation:
% 109.47/58.38 | (597) e4 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (597) can reduce 255 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (1306) ~ (all_0_20_20 = e3)
% 109.47/58.38 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (6729), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (629) all_0_32_32 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (629) can reduce 579 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (579) ~ (all_0_32_32 = e3)
% 109.47/58.38 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 109.47/58.38 |
% 109.47/58.38 +-Applying beta-rule and splitting (6789), into two cases.
% 109.47/58.38 |-Branch one:
% 109.47/58.38 | (1698) all_0_25_25 = e3
% 109.47/58.38 |
% 109.47/58.38 | Equations (1698) can reduce 577 to:
% 109.47/58.38 | (400) $false
% 109.47/58.38 |
% 109.47/58.38 |-The branch is then unsatisfiable
% 109.47/58.38 |-Branch two:
% 109.47/58.38 | (577) ~ (all_0_25_25 = e3)
% 109.47/58.39 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (7020), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (575) all_0_30_30 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (575) can reduce 1800 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (1800) ~ (all_0_30_30 = e3)
% 109.47/58.39 | (728) all_0_35_35 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (728) can reduce 39 to:
% 109.47/58.39 | (572) ~ (all_0_15_15 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (728) can reduce 194 to:
% 109.47/58.39 | (577) ~ (all_0_25_25 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (728) can reduce 309 to:
% 109.47/58.39 | (6232) ~ (all_0_37_37 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 6232 yields:
% 109.47/58.39 | (1127) ~ (all_0_37_37 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (728) can reduce 509 to:
% 109.47/58.39 | (558) ~ (e4 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 558 yields:
% 109.47/58.39 | (255) ~ (e4 = e3)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (9423), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (1360) all_0_33_33 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (1360) can reduce 574 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (574) ~ (all_0_33_33 = e3)
% 109.47/58.39 | (2571) all_0_34_34 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 295 to:
% 109.47/58.39 | (1150) ~ (all_0_19_19 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 84 to:
% 109.47/58.39 | (3115) ~ (all_0_29_29 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 202 to:
% 109.47/58.39 | (1800) ~ (all_0_30_30 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 132 to:
% 109.47/58.39 | (579) ~ (all_0_32_32 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 85 to:
% 109.47/58.39 | (10723) ~ (all_0_39_39 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 10723 yields:
% 109.47/58.39 | (571) ~ (all_0_39_39 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (2571) can reduce 495 to:
% 109.47/58.39 | (80) ~ (e3 = e0)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (198), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (1297) all_0_15_15 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (1297) can reduce 572 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (572) ~ (all_0_15_15 = e3)
% 109.47/58.39 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (2769), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (3117) all_0_16_16 = e3
% 109.47/58.39 |
% 109.47/58.39 | Combining equations (3117,454) yields a new equation:
% 109.47/58.39 | (597) e4 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (597) can reduce 255 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (3121) ~ (all_0_16_16 = e3)
% 109.47/58.39 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (102), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (1147) all_0_18_18 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 90 to:
% 109.47/58.39 | (572) ~ (all_0_15_15 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 302 to:
% 109.47/58.39 | (7483) ~ (all_0_28_28 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 7483 yields:
% 109.47/58.39 | (893) ~ (all_0_28_28 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 33 to:
% 109.47/58.39 | (580) ~ (all_0_33_33 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 580 yields:
% 109.47/58.39 | (574) ~ (all_0_33_33 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 38 to:
% 109.47/58.39 | (3094) ~ (all_0_38_38 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 3094 yields:
% 109.47/58.39 | (3095) ~ (all_0_38_38 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 458 to:
% 109.47/58.39 | (558) ~ (e4 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 558 yields:
% 109.47/58.39 | (255) ~ (e4 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (1147) can reduce 428 to:
% 109.47/58.39 | (298) ~ (e3 = e1)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (86), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (854) all_0_28_28 = e4
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 185 to:
% 109.47/58.39 | (505) ~ (all_0_25_25 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 47 to:
% 109.47/58.39 | (4420) ~ (all_0_29_29 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 4420 yields:
% 109.47/58.39 | (603) ~ (all_0_29_29 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 230 to:
% 109.47/58.39 | (2564) ~ (all_0_33_33 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 2564 yields:
% 109.47/58.39 | (594) ~ (all_0_33_33 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 207 to:
% 109.47/58.39 | (1834) ~ (all_0_38_38 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 1834 yields:
% 109.47/58.39 | (1835) ~ (all_0_38_38 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 893 to:
% 109.47/58.39 | (255) ~ (e4 = e3)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 477 to:
% 109.47/58.39 | (21) ~ (e4 = e2)
% 109.47/58.39 |
% 109.47/58.39 | Equations (854) can reduce 434 to:
% 109.47/58.39 | (56) ~ (e4 = e1)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (250), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (1151) all_0_19_19 = e4
% 109.47/58.39 |
% 109.47/58.39 | Equations (1151) can reduce 460 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (460) ~ (all_0_19_19 = e4)
% 109.47/58.39 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (2780), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (2956) all_0_24_24 = e4
% 109.47/58.39 |
% 109.47/58.39 | Combining equations (488,2956) yields a new equation:
% 109.47/58.39 | (515) e4 = e0
% 109.47/58.39 |
% 109.47/58.39 | Equations (515) can reduce 267 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (2960) ~ (all_0_24_24 = e4)
% 109.47/58.39 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.47/58.39 |
% 109.47/58.39 | Equations (488) can reduce 2960 to:
% 109.47/58.39 | (543) ~ (e4 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 543 yields:
% 109.47/58.39 | (267) ~ (e4 = e0)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (2961), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (941) all_0_29_29 = e4
% 109.47/58.39 |
% 109.47/58.39 | Equations (941) can reduce 603 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (603) ~ (all_0_29_29 = e4)
% 109.47/58.39 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (93), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (749) all_0_25_25 = e0
% 109.47/58.39 |
% 109.47/58.39 | Equations (749) can reduce 42 to:
% 109.47/58.39 | (739) ~ (all_0_15_15 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Equations (749) can reduce 7 to:
% 109.47/58.39 | (492) ~ (all_0_29_29 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 492 yields:
% 109.47/58.39 | (493) ~ (all_0_29_29 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Equations (749) can reduce 577 to:
% 109.47/58.39 | (665) ~ (e3 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 665 yields:
% 109.47/58.39 | (80) ~ (e3 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Equations (749) can reduce 473 to:
% 109.47/58.39 | (496) ~ (e2 = e0)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 496 yields:
% 109.47/58.39 | (336) ~ (e2 = e0)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (3061), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (601) all_0_34_34 = e4
% 109.47/58.39 |
% 109.47/58.39 | Combining equations (601,2571) yields a new equation:
% 109.47/58.39 | (596) e4 = e3
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 596 yields:
% 109.47/58.39 | (597) e4 = e3
% 109.47/58.39 |
% 109.47/58.39 | Equations (597) can reduce 255 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (2554) ~ (all_0_34_34 = e4)
% 109.47/58.39 | (697) all_0_39_39 = e4
% 109.47/58.39 |
% 109.47/58.39 | Equations (697) can reduce 291 to:
% 109.47/58.39 | (603) ~ (all_0_29_29 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (697) can reduce 24 to:
% 109.47/58.39 | (1002) ~ (all_0_37_37 = e4)
% 109.47/58.39 |
% 109.47/58.39 | Equations (697) can reduce 542 to:
% 109.47/58.39 | (267) ~ (e4 = e0)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (92), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (736) all_0_15_15 = e0
% 109.47/58.39 |
% 109.47/58.39 | Equations (736) can reduce 739 to:
% 109.47/58.39 | (400) $false
% 109.47/58.39 |
% 109.47/58.39 |-The branch is then unsatisfiable
% 109.47/58.39 |-Branch two:
% 109.47/58.39 | (739) ~ (all_0_15_15 = e0)
% 109.47/58.39 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (114), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (969) all_0_15_15 = e1
% 109.47/58.39 |
% 109.47/58.39 | Equations (969) can reduce 344 to:
% 109.47/58.39 | (5989) ~ (all_0_17_17 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 5989 yields:
% 109.47/58.39 | (817) ~ (all_0_17_17 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Equations (969) can reduce 319 to:
% 109.47/58.39 | (3853) ~ (all_0_19_19 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 3853 yields:
% 109.47/58.39 | (943) ~ (all_0_19_19 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Equations (969) can reduce 3 to:
% 109.47/58.39 | (17107) ~ (all_0_30_30 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 17107 yields:
% 109.47/58.39 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Equations (969) can reduce 572 to:
% 109.47/58.39 | (824) ~ (e3 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Simplifying 824 yields:
% 109.47/58.39 | (298) ~ (e3 = e1)
% 109.47/58.39 |
% 109.47/58.39 | Equations (969) can reduce 739 to:
% 109.47/58.39 | (40) ~ (e1 = e0)
% 109.47/58.39 |
% 109.47/58.39 +-Applying beta-rule and splitting (340), into two cases.
% 109.47/58.39 |-Branch one:
% 109.47/58.39 | (756) all_0_18_18 = e0
% 109.47/58.39 |
% 109.47/58.39 | Combining equations (1147,756) yields a new equation:
% 109.47/58.39 | (647) e3 = e0
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 647 yields:
% 109.47/58.40 | (648) e3 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (648) can reduce 80 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (1141) ~ (all_0_18_18 = e0)
% 109.47/58.40 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (1147) can reduce 1141 to:
% 109.47/58.40 | (80) ~ (e3 = e0)
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1207), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (514) all_0_16_16 = e0
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (514,454) yields a new equation:
% 109.47/58.40 | (515) e4 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (515) can reduce 267 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (517) ~ (all_0_16_16 = e0)
% 109.47/58.40 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1142), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (4698) all_0_23_23 = e0
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (427,4698) yields a new equation:
% 109.47/58.40 | (530) e1 = e0
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 530 yields:
% 109.47/58.40 | (531) e1 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (531) can reduce 40 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (4702) ~ (all_0_23_23 = e0)
% 109.47/58.40 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1212), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1184) all_0_17_17 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (1184) can reduce 282 to:
% 109.47/58.40 | (537) ~ (all_0_37_37 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 537 yields:
% 109.47/58.40 | (538) ~ (all_0_37_37 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1184) can reduce 456 to:
% 109.47/58.40 | (543) ~ (e4 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 543 yields:
% 109.47/58.40 | (267) ~ (e4 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1184) can reduce 396 to:
% 109.47/58.40 | (496) ~ (e2 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 496 yields:
% 109.47/58.40 | (336) ~ (e2 = e0)
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (59), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (847) all_0_37_37 = e4
% 109.47/58.40 |
% 109.47/58.40 | Equations (847) can reduce 1002 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (1002) ~ (all_0_37_37 = e4)
% 109.47/58.40 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (179), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (711) all_0_15_15 = e2
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (711,969) yields a new equation:
% 109.47/58.40 | (620) e2 = e1
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 620 yields:
% 109.47/58.40 | (621) e2 = e1
% 109.47/58.40 |
% 109.47/58.40 | Equations (621) can reduce 310 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (769) ~ (all_0_15_15 = e2)
% 109.47/58.40 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1529), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1530) all_0_20_20 = e2
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (500,1530) yields a new equation:
% 109.47/58.40 | (1531) e4 = e2
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 1531 yields:
% 109.47/58.40 | (798) e4 = e2
% 109.47/58.40 |
% 109.47/58.40 | Equations (798) can reduce 21 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (444) ~ (all_0_20_20 = e2)
% 109.47/58.40 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1535), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1536) all_0_25_25 = e2
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (749,1536) yields a new equation:
% 109.47/58.40 | (525) e2 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (525) can reduce 336 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.40 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1539), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (613) all_0_30_30 = e2
% 109.47/58.40 |
% 109.47/58.40 | Equations (613) can reduce 150 to:
% 109.47/58.40 | (6746) ~ (all_0_33_33 = e2)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 6746 yields:
% 109.47/58.40 | (671) ~ (all_0_33_33 = e2)
% 109.47/58.40 |
% 109.47/58.40 | Equations (613) can reduce 1800 to:
% 109.47/58.40 | (643) ~ (e3 = e2)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 643 yields:
% 109.47/58.40 | (52) ~ (e3 = e2)
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (326), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (679) ~ (all_0_15_15 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Equations (969) can reduce 679 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (969) all_0_15_15 = e1
% 109.47/58.40 | (16684) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1007), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (936) all_0_37_37 = e3
% 109.47/58.40 |
% 109.47/58.40 | Equations (936) can reduce 1127 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (1127) ~ (all_0_37_37 = e3)
% 109.47/58.40 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (4703), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1125) all_0_28_28 = e0
% 109.47/58.40 |
% 109.47/58.40 | Combining equations (854,1125) yields a new equation:
% 109.47/58.40 | (743) e4 = e0
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 743 yields:
% 109.47/58.40 | (515) e4 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (515) can reduce 267 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (758) ~ (all_0_28_28 = e0)
% 109.47/58.40 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (204), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (679) ~ (all_0_15_15 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Equations (969) can reduce 679 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (969) all_0_15_15 = e1
% 109.47/58.40 | (16711) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e0)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (4707), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1463) all_0_33_33 = e0
% 109.47/58.40 |
% 109.47/58.40 | Equations (1463) can reduce 594 to:
% 109.47/58.40 | (543) ~ (e4 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 543 yields:
% 109.47/58.40 | (267) ~ (e4 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1463) can reduce 574 to:
% 109.47/58.40 | (665) ~ (e3 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 665 yields:
% 109.47/58.40 | (80) ~ (e3 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1463) can reduce 671 to:
% 109.47/58.40 | (496) ~ (e2 = e0)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 496 yields:
% 109.47/58.40 | (336) ~ (e2 = e0)
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1128), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1129) all_0_37_37 = e2
% 109.47/58.40 |
% 109.47/58.40 | Equations (1129) can reduce 450 to:
% 109.47/58.40 | (400) $false
% 109.47/58.40 |
% 109.47/58.40 |-The branch is then unsatisfiable
% 109.47/58.40 |-Branch two:
% 109.47/58.40 | (450) ~ (all_0_37_37 = e2)
% 109.47/58.40 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1132), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1112) all_0_37_37 = e1
% 109.47/58.40 |
% 109.47/58.40 | Equations (1112) can reduce 1002 to:
% 109.47/58.40 | (764) ~ (e4 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 764 yields:
% 109.47/58.40 | (56) ~ (e4 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1112) can reduce 1127 to:
% 109.47/58.40 | (824) ~ (e3 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 824 yields:
% 109.47/58.40 | (298) ~ (e3 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1112) can reduce 450 to:
% 109.47/58.40 | (766) ~ (e2 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Simplifying 766 yields:
% 109.47/58.40 | (310) ~ (e2 = e1)
% 109.47/58.40 |
% 109.47/58.40 | Equations (1112) can reduce 538 to:
% 109.47/58.40 | (40) ~ (e1 = e0)
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (251), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1278), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1279), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1280), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1281), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1282), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1283), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1284), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1285), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1286), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1287), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1288), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1289), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.47/58.40 |
% 109.47/58.40 +-Applying beta-rule and splitting (1290), into two cases.
% 109.47/58.40 |-Branch one:
% 109.47/58.40 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.47/58.41 |
% 109.47/58.41 +-Applying beta-rule and splitting (1291), into two cases.
% 109.47/58.41 |-Branch one:
% 109.47/58.41 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.47/58.41 |
% 109.47/58.41 +-Applying beta-rule and splitting (1292), into two cases.
% 109.47/58.41 |-Branch one:
% 109.47/58.41 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.47/58.41 |
% 109.47/58.41 +-Applying beta-rule and splitting (1293), into two cases.
% 109.47/58.41 |-Branch one:
% 109.47/58.41 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.47/58.41 |
% 109.47/58.41 +-Applying beta-rule and splitting (1294), into two cases.
% 109.47/58.41 |-Branch one:
% 109.47/58.41 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.47/58.41 |
% 109.47/58.41 +-Applying beta-rule and splitting (1295), into two cases.
% 109.47/58.41 |-Branch one:
% 109.47/58.41 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1296) yields:
% 109.47/58.41 | (1297) all_0_15_15 = e3
% 109.47/58.41 | (550) all_0_21_21 = e4
% 109.47/58.41 | (1299) ~ (all_0_16_16 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1297,969) yields a new equation:
% 109.47/58.41 | (1113) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 1113 yields:
% 109.47/58.41 | (928) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (928) can reduce 298 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1303) yields:
% 109.47/58.41 | (1297) all_0_15_15 = e3
% 109.47/58.41 | (550) all_0_21_21 = e4
% 109.47/58.41 | (1306) ~ (all_0_20_20 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1297,969) yields a new equation:
% 109.47/58.41 | (1113) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 1113 yields:
% 109.47/58.41 | (928) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (928) can reduce 298 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1310) yields:
% 109.47/58.41 | (711) all_0_15_15 = e2
% 109.47/58.41 | (804) all_0_27_27 = e4
% 109.47/58.41 | (456) ~ (all_0_17_17 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (711,969) yields a new equation:
% 109.47/58.41 | (620) e2 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 620 yields:
% 109.47/58.41 | (621) e2 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (621) can reduce 310 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1315) yields:
% 109.47/58.41 | (711) all_0_15_15 = e2
% 109.47/58.41 | (804) all_0_27_27 = e4
% 109.47/58.41 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (711,969) yields a new equation:
% 109.47/58.41 | (620) e2 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 620 yields:
% 109.47/58.41 | (621) e2 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (621) can reduce 310 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1320) yields:
% 109.47/58.41 | (969) all_0_15_15 = e1
% 109.47/58.41 | (1322) all_0_33_33 = e4
% 109.47/58.41 | (458) ~ (all_0_18_18 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1322,1463) yields a new equation:
% 109.47/58.41 | (743) e4 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 743 yields:
% 109.47/58.41 | (515) e4 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (515) can reduce 267 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1326) yields:
% 109.47/58.41 | (969) all_0_15_15 = e1
% 109.47/58.41 | (1322) all_0_33_33 = e4
% 109.47/58.41 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1322,1463) yields a new equation:
% 109.47/58.41 | (743) e4 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 743 yields:
% 109.47/58.41 | (515) e4 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (515) can reduce 267 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1332) yields:
% 109.47/58.41 | (736) all_0_15_15 = e0
% 109.47/58.41 | (697) all_0_39_39 = e4
% 109.47/58.41 | (460) ~ (all_0_19_19 = e4)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (736,969) yields a new equation:
% 109.47/58.41 | (531) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (531) can reduce 40 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1339) yields:
% 109.47/58.41 | (736) all_0_15_15 = e0
% 109.47/58.41 | (697) all_0_39_39 = e4
% 109.47/58.41 | (536) ~ (all_0_35_35 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (736,969) yields a new equation:
% 109.47/58.41 | (531) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (531) can reduce 40 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1346) yields:
% 109.47/58.41 | (1347) all_0_21_21 = e2
% 109.47/58.41 | (808) all_0_27_27 = e3
% 109.47/58.41 | (925) ~ (all_0_22_22 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,1347) yields a new equation:
% 109.47/58.41 | (614) e3 = e2
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 614 yields:
% 109.47/58.41 | (615) e3 = e2
% 109.47/58.41 |
% 109.47/58.41 | Equations (615) can reduce 52 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1352) yields:
% 109.47/58.41 | (1347) all_0_21_21 = e2
% 109.47/58.41 | (808) all_0_27_27 = e3
% 109.47/58.41 | (1355) ~ (all_0_26_26 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,1347) yields a new equation:
% 109.47/58.41 | (614) e3 = e2
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 614 yields:
% 109.47/58.41 | (615) e3 = e2
% 109.47/58.41 |
% 109.47/58.41 | Equations (615) can reduce 52 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1358) yields:
% 109.47/58.41 | (1359) all_0_21_21 = e1
% 109.47/58.41 | (1360) all_0_33_33 = e3
% 109.47/58.41 | (1361) ~ (all_0_23_23 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,1359) yields a new equation:
% 109.47/58.41 | (1113) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 1113 yields:
% 109.47/58.41 | (928) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1463,1360) yields a new equation:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (928,648) yields a new equation:
% 109.47/58.41 | (530) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 530 yields:
% 109.47/58.41 | (531) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (531) can reduce 40 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1367) yields:
% 109.47/58.41 | (1359) all_0_21_21 = e1
% 109.47/58.41 | (1360) all_0_33_33 = e3
% 109.47/58.41 | (1370) ~ (all_0_31_31 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,1359) yields a new equation:
% 109.47/58.41 | (1113) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 1113 yields:
% 109.47/58.41 | (928) e3 = e1
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1463,1360) yields a new equation:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (928,648) yields a new equation:
% 109.47/58.41 | (530) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 530 yields:
% 109.47/58.41 | (531) e1 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (531) can reduce 40 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1376) yields:
% 109.47/58.41 | (519) all_0_21_21 = e0
% 109.47/58.41 | (701) all_0_39_39 = e3
% 109.47/58.41 | (1379) ~ (all_0_24_24 = e3)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,519) yields a new equation:
% 109.47/58.41 | (647) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 647 yields:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (648) can reduce 80 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1385) yields:
% 109.47/58.41 | (519) all_0_21_21 = e0
% 109.47/58.41 | (701) all_0_39_39 = e3
% 109.47/58.41 | (1388) ~ (all_0_36_36 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (557,519) yields a new equation:
% 109.47/58.41 | (647) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 647 yields:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (648) can reduce 80 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1394) yields:
% 109.47/58.41 | (816) all_0_27_27 = e1
% 109.47/58.41 | (637) all_0_33_33 = e2
% 109.47/58.41 | (477) ~ (all_0_28_28 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1463,637) yields a new equation:
% 109.47/58.41 | (525) e2 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (525) can reduce 336 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1421) yields:
% 109.47/58.41 | (816) all_0_27_27 = e1
% 109.47/58.41 | (637) all_0_33_33 = e2
% 109.47/58.41 | (419) ~ (all_0_32_32 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1463,637) yields a new equation:
% 109.47/58.41 | (525) e2 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (525) can reduce 336 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1448) yields:
% 109.47/58.41 | (995) all_0_27_27 = e0
% 109.47/58.41 | (705) all_0_39_39 = e2
% 109.47/58.41 | (479) ~ (all_0_29_29 = e2)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (808,995) yields a new equation:
% 109.47/58.41 | (647) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 647 yields:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (648) can reduce 80 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1455) yields:
% 109.47/58.41 | (995) all_0_27_27 = e0
% 109.47/58.41 | (705) all_0_39_39 = e2
% 109.47/58.41 | (538) ~ (all_0_37_37 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (808,995) yields a new equation:
% 109.47/58.41 | (647) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Simplifying 647 yields:
% 109.47/58.41 | (648) e3 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (648) can reduce 80 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1462) yields:
% 109.47/58.41 | (1463) all_0_33_33 = e0
% 109.47/58.41 | (1252) all_0_39_39 = e1
% 109.47/58.41 | (421) ~ (all_0_34_34 = e1)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1252,697) yields a new equation:
% 109.47/58.41 | (838) e4 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (838) can reduce 56 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Applying alpha-rule on (1469) yields:
% 109.47/58.41 | (1463) all_0_33_33 = e0
% 109.47/58.41 | (1252) all_0_39_39 = e1
% 109.47/58.41 | (540) ~ (all_0_38_38 = e0)
% 109.47/58.41 |
% 109.47/58.41 | Combining equations (1252,697) yields a new equation:
% 109.47/58.41 | (838) e4 = e1
% 109.47/58.41 |
% 109.47/58.41 | Equations (838) can reduce 56 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (763) ~ (all_0_37_37 = e1)
% 109.47/58.41 | (1136) all_0_37_37 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (1136) can reduce 538 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.41 |-Branch two:
% 109.47/58.41 | (2612) ~ (all_0_33_33 = e0)
% 109.47/58.41 | (3225) all_0_38_38 = e0
% 109.47/58.41 |
% 109.47/58.41 | Equations (3225) can reduce 540 to:
% 109.47/58.41 | (400) $false
% 109.47/58.41 |
% 109.47/58.41 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (617) ~ (all_0_30_30 = e2)
% 109.47/58.42 | (732) all_0_35_35 = e2
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (728,732) yields a new equation:
% 109.47/58.42 | (614) e3 = e2
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 614 yields:
% 109.47/58.42 | (615) e3 = e2
% 109.47/58.42 |
% 109.47/58.42 | Equations (615) can reduce 52 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (659) ~ (all_0_17_17 = e0)
% 109.47/58.42 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (59), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (847) all_0_37_37 = e4
% 109.47/58.42 |
% 109.47/58.42 | Equations (847) can reduce 1002 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (1002) ~ (all_0_37_37 = e4)
% 109.47/58.42 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (327), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (1184) all_0_17_17 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (1184) can reduce 659 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (659) ~ (all_0_17_17 = e0)
% 109.47/58.42 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (1007), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (936) all_0_37_37 = e3
% 109.47/58.42 |
% 109.47/58.42 | Equations (936) can reduce 1127 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (1127) ~ (all_0_37_37 = e3)
% 109.47/58.42 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (179), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (711) all_0_15_15 = e2
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (711,969) yields a new equation:
% 109.47/58.42 | (620) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 620 yields:
% 109.47/58.42 | (621) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (621) can reduce 310 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (769) ~ (all_0_15_15 = e2)
% 109.47/58.42 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.47/58.42 |
% 109.47/58.42 | Equations (969) can reduce 769 to:
% 109.47/58.42 | (766) ~ (e2 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 766 yields:
% 109.47/58.42 | (310) ~ (e2 = e1)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (249), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (980) all_0_17_17 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (980) can reduce 817 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (817) ~ (all_0_17_17 = e1)
% 109.47/58.42 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (1085), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (1094) all_0_22_22 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (442,1094) yields a new equation:
% 109.47/58.42 | (620) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 620 yields:
% 109.47/58.42 | (621) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (621) can reduce 310 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (1098) ~ (all_0_22_22 = e1)
% 109.47/58.42 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (1099), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (816) all_0_27_27 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (808,816) yields a new equation:
% 109.47/58.42 | (1113) e3 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 1113 yields:
% 109.47/58.42 | (928) e3 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (928) can reduce 298 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (857) ~ (all_0_27_27 = e1)
% 109.47/58.42 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (71), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (595) all_0_30_30 = e4
% 109.47/58.42 |
% 109.47/58.42 | Equations (595) can reduce 507 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (507) ~ (all_0_30_30 = e4)
% 109.47/58.42 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (1105), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (1108) all_0_32_32 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (1108) can reduce 419 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (419) ~ (all_0_32_32 = e1)
% 109.47/58.42 | (1112) all_0_37_37 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (1112) can reduce 211 to:
% 109.47/58.42 | (419) ~ (all_0_32_32 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (1112) can reduce 1002 to:
% 109.47/58.42 | (764) ~ (e4 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 764 yields:
% 109.47/58.42 | (56) ~ (e4 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (1112) can reduce 1127 to:
% 109.47/58.42 | (824) ~ (e3 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 824 yields:
% 109.47/58.42 | (298) ~ (e3 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (1112) can reduce 450 to:
% 109.47/58.42 | (766) ~ (e2 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 766 yields:
% 109.47/58.42 | (310) ~ (e2 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (1112) can reduce 538 to:
% 109.47/58.42 | (40) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (262), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (829) all_0_19_19 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (829) can reduce 943 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (943) ~ (all_0_19_19 = e1)
% 109.47/58.42 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (944), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (8658) all_0_24_24 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (8658,488) yields a new equation:
% 109.47/58.42 | (530) e1 = e0
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 530 yields:
% 109.47/58.42 | (531) e1 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (531) can reduce 40 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (432) ~ (all_0_24_24 = e1)
% 109.47/58.42 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (488) can reduce 432 to:
% 109.47/58.42 | (498) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 498 yields:
% 109.47/58.42 | (40) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (43), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (1495) all_0_25_25 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (749,1495) yields a new equation:
% 109.47/58.42 | (531) e1 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (531) can reduce 40 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (1519) ~ (all_0_25_25 = e1)
% 109.47/58.42 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4262), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (4273) all_0_22_22 = e0
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (442,4273) yields a new equation:
% 109.47/58.42 | (524) e2 = e0
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 524 yields:
% 109.47/58.42 | (525) e2 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (525) can reduce 336 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (4277) ~ (all_0_22_22 = e0)
% 109.47/58.42 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4556), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (4559) all_0_26_26 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (471,4559) yields a new equation:
% 109.47/58.42 | (620) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 620 yields:
% 109.47/58.42 | (621) e2 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (621) can reduce 310 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (416) ~ (all_0_26_26 = e1)
% 109.47/58.42 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4563), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (816) all_0_27_27 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (808,816) yields a new equation:
% 109.47/58.42 | (1113) e3 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 1113 yields:
% 109.47/58.42 | (928) e3 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (928) can reduce 298 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (857) ~ (all_0_27_27 = e1)
% 109.47/58.42 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4278), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (995) all_0_27_27 = e0
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (808,995) yields a new equation:
% 109.47/58.42 | (647) e3 = e0
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 647 yields:
% 109.47/58.42 | (648) e3 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (648) can reduce 80 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (660) ~ (all_0_27_27 = e0)
% 109.47/58.42 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4568), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (1122) all_0_28_28 = e1
% 109.47/58.42 |
% 109.47/58.42 | Combining equations (854,1122) yields a new equation:
% 109.47/58.42 | (975) e4 = e1
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 975 yields:
% 109.47/58.42 | (838) e4 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (838) can reduce 56 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (434) ~ (all_0_28_28 = e1)
% 109.47/58.42 | (4599) all_0_29_29 = e1
% 109.47/58.42 |
% 109.47/58.42 | Equations (4599) can reduce 603 to:
% 109.47/58.42 | (764) ~ (e4 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 764 yields:
% 109.47/58.42 | (56) ~ (e4 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (4599) can reduce 3115 to:
% 109.47/58.42 | (824) ~ (e3 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 824 yields:
% 109.47/58.42 | (298) ~ (e3 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (4599) can reduce 493 to:
% 109.47/58.42 | (40) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (4292), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (658) all_0_32_32 = e0
% 109.47/58.42 |
% 109.47/58.42 | Equations (658) can reduce 301 to:
% 109.47/58.42 | (650) ~ (all_0_30_30 = e0)
% 109.47/58.42 |
% 109.47/58.42 | Equations (658) can reduce 579 to:
% 109.47/58.42 | (665) ~ (e3 = e0)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 665 yields:
% 109.47/58.42 | (80) ~ (e3 = e0)
% 109.47/58.42 |
% 109.47/58.42 | Equations (658) can reduce 419 to:
% 109.47/58.42 | (498) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 498 yields:
% 109.47/58.42 | (40) ~ (e1 = e0)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (6692), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (575) all_0_30_30 = e3
% 109.47/58.42 |
% 109.47/58.42 | Equations (575) can reduce 1800 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (1800) ~ (all_0_30_30 = e3)
% 109.47/58.42 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (11175), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (613) all_0_30_30 = e2
% 109.47/58.42 |
% 109.47/58.42 | Equations (613) can reduce 1800 to:
% 109.47/58.42 | (643) ~ (e3 = e2)
% 109.47/58.42 |
% 109.47/58.42 | Simplifying 643 yields:
% 109.47/58.42 | (52) ~ (e3 = e2)
% 109.47/58.42 |
% 109.47/58.42 | Equations (613) can reduce 417 to:
% 109.47/58.42 | (310) ~ (e2 = e1)
% 109.47/58.42 |
% 109.47/58.42 +-Applying beta-rule and splitting (326), into two cases.
% 109.47/58.42 |-Branch one:
% 109.47/58.42 | (679) ~ (all_0_15_15 = e1)
% 109.47/58.42 |
% 109.47/58.42 | Equations (969) can reduce 679 to:
% 109.47/58.42 | (400) $false
% 109.47/58.42 |
% 109.47/58.42 |-The branch is then unsatisfiable
% 109.47/58.42 |-Branch two:
% 109.47/58.42 | (969) all_0_15_15 = e1
% 109.47/58.43 | (16684) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e3)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (251), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1278), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1279), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1280), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1281), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1282), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1283), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1284), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1285), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1286), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1287), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1288), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1289), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1290), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1291), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1292), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1293), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1294), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.47/58.43 |
% 109.47/58.43 +-Applying beta-rule and splitting (1295), into two cases.
% 109.47/58.43 |-Branch one:
% 109.47/58.43 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1296) yields:
% 109.47/58.43 | (1297) all_0_15_15 = e3
% 109.47/58.43 | (550) all_0_21_21 = e4
% 109.47/58.43 | (1299) ~ (all_0_16_16 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1297,969) yields a new equation:
% 109.47/58.43 | (1113) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Simplifying 1113 yields:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (928) can reduce 298 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1303) yields:
% 109.47/58.43 | (1297) all_0_15_15 = e3
% 109.47/58.43 | (550) all_0_21_21 = e4
% 109.47/58.43 | (1306) ~ (all_0_20_20 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1297,969) yields a new equation:
% 109.47/58.43 | (1113) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Simplifying 1113 yields:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (928) can reduce 298 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1310) yields:
% 109.47/58.43 | (711) all_0_15_15 = e2
% 109.47/58.43 | (804) all_0_27_27 = e4
% 109.47/58.43 | (456) ~ (all_0_17_17 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (711,969) yields a new equation:
% 109.47/58.43 | (620) e2 = e1
% 109.47/58.43 |
% 109.47/58.43 | Simplifying 620 yields:
% 109.47/58.43 | (621) e2 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (621) can reduce 310 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1315) yields:
% 109.47/58.43 | (711) all_0_15_15 = e2
% 109.47/58.43 | (804) all_0_27_27 = e4
% 109.47/58.43 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (711,969) yields a new equation:
% 109.47/58.43 | (620) e2 = e1
% 109.47/58.43 |
% 109.47/58.43 | Simplifying 620 yields:
% 109.47/58.43 | (621) e2 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (621) can reduce 310 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1320) yields:
% 109.47/58.43 | (969) all_0_15_15 = e1
% 109.47/58.43 | (1322) all_0_33_33 = e4
% 109.47/58.43 | (458) ~ (all_0_18_18 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Equations (1322) can reduce 594 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1326) yields:
% 109.47/58.43 | (969) all_0_15_15 = e1
% 109.47/58.43 | (1322) all_0_33_33 = e4
% 109.47/58.43 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Equations (1322) can reduce 594 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1332) yields:
% 109.47/58.43 | (736) all_0_15_15 = e0
% 109.47/58.43 | (697) all_0_39_39 = e4
% 109.47/58.43 | (460) ~ (all_0_19_19 = e4)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (736,969) yields a new equation:
% 109.47/58.43 | (531) e1 = e0
% 109.47/58.43 |
% 109.47/58.43 | Equations (531) can reduce 40 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1339) yields:
% 109.47/58.43 | (736) all_0_15_15 = e0
% 109.47/58.43 | (697) all_0_39_39 = e4
% 109.47/58.43 | (536) ~ (all_0_35_35 = e0)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (736,969) yields a new equation:
% 109.47/58.43 | (531) e1 = e0
% 109.47/58.43 |
% 109.47/58.43 | Equations (531) can reduce 40 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1346) yields:
% 109.47/58.43 | (1347) all_0_21_21 = e2
% 109.47/58.43 | (808) all_0_27_27 = e3
% 109.47/58.43 | (925) ~ (all_0_22_22 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1347,557) yields a new equation:
% 109.47/58.43 | (615) e3 = e2
% 109.47/58.43 |
% 109.47/58.43 | Equations (615) can reduce 52 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1352) yields:
% 109.47/58.43 | (1347) all_0_21_21 = e2
% 109.47/58.43 | (808) all_0_27_27 = e3
% 109.47/58.43 | (1355) ~ (all_0_26_26 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1347,557) yields a new equation:
% 109.47/58.43 | (615) e3 = e2
% 109.47/58.43 |
% 109.47/58.43 | Equations (615) can reduce 52 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1358) yields:
% 109.47/58.43 | (1359) all_0_21_21 = e1
% 109.47/58.43 | (1360) all_0_33_33 = e3
% 109.47/58.43 | (1361) ~ (all_0_23_23 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1359,557) yields a new equation:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (928) can reduce 298 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1367) yields:
% 109.47/58.43 | (1359) all_0_21_21 = e1
% 109.47/58.43 | (1360) all_0_33_33 = e3
% 109.47/58.43 | (1370) ~ (all_0_31_31 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (1359,557) yields a new equation:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (928) can reduce 298 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1376) yields:
% 109.47/58.43 | (519) all_0_21_21 = e0
% 109.47/58.43 | (701) all_0_39_39 = e3
% 109.47/58.43 | (1379) ~ (all_0_24_24 = e3)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (519,557) yields a new equation:
% 109.47/58.43 | (648) e3 = e0
% 109.47/58.43 |
% 109.47/58.43 | Equations (648) can reduce 80 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1385) yields:
% 109.47/58.43 | (519) all_0_21_21 = e0
% 109.47/58.43 | (701) all_0_39_39 = e3
% 109.47/58.43 | (1388) ~ (all_0_36_36 = e0)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (519,557) yields a new equation:
% 109.47/58.43 | (648) e3 = e0
% 109.47/58.43 |
% 109.47/58.43 | Equations (648) can reduce 80 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1394) yields:
% 109.47/58.43 | (816) all_0_27_27 = e1
% 109.47/58.43 | (637) all_0_33_33 = e2
% 109.47/58.43 | (477) ~ (all_0_28_28 = e2)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (816,808) yields a new equation:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.43 | Equations (928) can reduce 298 to:
% 109.47/58.43 | (400) $false
% 109.47/58.43 |
% 109.47/58.43 |-The branch is then unsatisfiable
% 109.47/58.43 |-Branch two:
% 109.47/58.43 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Applying alpha-rule on (1421) yields:
% 109.47/58.43 | (816) all_0_27_27 = e1
% 109.47/58.43 | (637) all_0_33_33 = e2
% 109.47/58.43 | (419) ~ (all_0_32_32 = e1)
% 109.47/58.43 |
% 109.47/58.43 | Combining equations (816,808) yields a new equation:
% 109.47/58.43 | (928) e3 = e1
% 109.47/58.43 |
% 109.47/58.44 | Equations (928) can reduce 298 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.47/58.44 |
% 109.47/58.44 | Applying alpha-rule on (1448) yields:
% 109.47/58.44 | (995) all_0_27_27 = e0
% 109.47/58.44 | (705) all_0_39_39 = e2
% 109.47/58.44 | (479) ~ (all_0_29_29 = e2)
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (995,808) yields a new equation:
% 109.47/58.44 | (648) e3 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (648) can reduce 80 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.47/58.44 |
% 109.47/58.44 | Applying alpha-rule on (1455) yields:
% 109.47/58.44 | (995) all_0_27_27 = e0
% 109.47/58.44 | (705) all_0_39_39 = e2
% 109.47/58.44 | (538) ~ (all_0_37_37 = e0)
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (995,808) yields a new equation:
% 109.47/58.44 | (648) e3 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (648) can reduce 80 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.47/58.44 |
% 109.47/58.44 | Applying alpha-rule on (1462) yields:
% 109.47/58.44 | (1463) all_0_33_33 = e0
% 109.47/58.44 | (1252) all_0_39_39 = e1
% 109.47/58.44 | (421) ~ (all_0_34_34 = e1)
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (1252,697) yields a new equation:
% 109.47/58.44 | (838) e4 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (838) can reduce 56 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.47/58.44 |
% 109.47/58.44 | Applying alpha-rule on (1469) yields:
% 109.47/58.44 | (1463) all_0_33_33 = e0
% 109.47/58.44 | (1252) all_0_39_39 = e1
% 109.47/58.44 | (540) ~ (all_0_38_38 = e0)
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (1252,697) yields a new equation:
% 109.47/58.44 | (838) e4 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (838) can reduce 56 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (617) ~ (all_0_30_30 = e2)
% 109.47/58.44 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (14452), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1521) all_0_30_30 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (1521) can reduce 417 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.44 | (646) all_0_30_30 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (646) can reduce 650 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (889) ~ (all_0_32_32 = e0)
% 109.47/58.44 | (1136) all_0_37_37 = e0
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (1112,1136) yields a new equation:
% 109.47/58.44 | (530) e1 = e0
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 530 yields:
% 109.47/58.44 | (531) e1 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (531) can reduce 40 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (679) ~ (all_0_15_15 = e1)
% 109.47/58.44 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1402), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1490) all_0_20_20 = e1
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (500,1490) yields a new equation:
% 109.47/58.44 | (975) e4 = e1
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 975 yields:
% 109.47/58.44 | (838) e4 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (838) can reduce 56 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (429) ~ (all_0_20_20 = e1)
% 109.47/58.44 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1494), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1495) all_0_25_25 = e1
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (749,1495) yields a new equation:
% 109.47/58.44 | (531) e1 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (531) can reduce 40 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1519) ~ (all_0_25_25 = e1)
% 109.47/58.44 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1520), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1521) all_0_30_30 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (1521) can reduce 417 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.44 | (761) all_0_35_35 = e1
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (728,761) yields a new equation:
% 109.47/58.44 | (1113) e3 = e1
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 1113 yields:
% 109.47/58.44 | (928) e3 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (928) can reduce 298 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1054) ~ (all_0_25_25 = e0)
% 109.47/58.44 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (340), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (756) all_0_18_18 = e0
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (756,1147) yields a new equation:
% 109.47/58.44 | (648) e3 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (648) can reduce 80 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (1141) ~ (all_0_18_18 = e0)
% 109.47/58.44 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (237), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (590) all_0_25_25 = e4
% 109.47/58.44 |
% 109.47/58.44 | Equations (590) can reduce 505 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (505) ~ (all_0_25_25 = e4)
% 109.47/58.44 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (593), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1698) all_0_25_25 = e3
% 109.47/58.44 |
% 109.47/58.44 | Equations (1698) can reduce 577 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (577) ~ (all_0_25_25 = e3)
% 109.47/58.44 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1701), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1536) all_0_25_25 = e2
% 109.47/58.44 |
% 109.47/58.44 | Equations (1536) can reduce 473 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.44 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1142), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (4698) all_0_23_23 = e0
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (4698,427) yields a new equation:
% 109.47/58.44 | (531) e1 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (531) can reduce 40 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (4702) ~ (all_0_23_23 = e0)
% 109.47/58.44 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (1705), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1495) all_0_25_25 = e1
% 109.47/58.44 |
% 109.47/58.44 | Equations (1495) can reduce 7 to:
% 109.47/58.44 | (5048) ~ (all_0_29_29 = e1)
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 5048 yields:
% 109.47/58.44 | (2946) ~ (all_0_29_29 = e1)
% 109.47/58.44 |
% 109.47/58.44 | Equations (1495) can reduce 505 to:
% 109.47/58.44 | (764) ~ (e4 = e1)
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 764 yields:
% 109.47/58.44 | (56) ~ (e4 = e1)
% 109.47/58.44 |
% 109.47/58.44 +-Applying beta-rule and splitting (4703), into two cases.
% 109.47/58.44 |-Branch one:
% 109.47/58.44 | (1125) all_0_28_28 = e0
% 109.47/58.44 |
% 109.47/58.44 | Combining equations (854,1125) yields a new equation:
% 109.47/58.44 | (743) e4 = e0
% 109.47/58.44 |
% 109.47/58.44 | Simplifying 743 yields:
% 109.47/58.44 | (515) e4 = e0
% 109.47/58.44 |
% 109.47/58.44 | Equations (515) can reduce 267 to:
% 109.47/58.44 | (400) $false
% 109.47/58.44 |
% 109.47/58.44 |-The branch is then unsatisfiable
% 109.47/58.44 |-Branch two:
% 109.47/58.44 | (758) ~ (all_0_28_28 = e0)
% 109.47/58.45 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (333), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (1846) all_0_38_38 = e4
% 109.47/58.45 |
% 109.47/58.45 | Equations (1846) can reduce 1835 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (1835) ~ (all_0_38_38 = e4)
% 109.47/58.45 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (3213), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (3208) all_0_38_38 = e3
% 109.47/58.45 |
% 109.47/58.45 | Equations (3208) can reduce 3095 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (3095) ~ (all_0_38_38 = e3)
% 109.47/58.45 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (3217), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (3218) all_0_38_38 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (3218) can reduce 199 to:
% 109.47/58.45 | (671) ~ (all_0_33_33 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Equations (3218) can reduce 3095 to:
% 109.47/58.45 | (643) ~ (e3 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 643 yields:
% 109.47/58.45 | (52) ~ (e3 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Equations (3218) can reduce 438 to:
% 109.47/58.45 | (310) ~ (e2 = e1)
% 109.47/58.45 |
% 109.47/58.45 | Equations (3218) can reduce 540 to:
% 109.47/58.45 | (336) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (107), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (613) all_0_30_30 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (613) can reduce 3 to:
% 109.47/58.45 | (769) ~ (all_0_15_15 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Equations (613) can reduce 150 to:
% 109.47/58.45 | (6746) ~ (all_0_33_33 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 6746 yields:
% 109.47/58.45 | (671) ~ (all_0_33_33 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Equations (613) can reduce 507 to:
% 109.47/58.45 | (482) ~ (e4 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 482 yields:
% 109.47/58.45 | (21) ~ (e4 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Equations (613) can reduce 1800 to:
% 109.47/58.45 | (643) ~ (e3 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 643 yields:
% 109.47/58.45 | (52) ~ (e3 = e2)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (160), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (711) all_0_15_15 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (711) can reduce 769 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (769) ~ (all_0_15_15 = e2)
% 109.47/58.45 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (297), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (595) all_0_30_30 = e4
% 109.47/58.45 |
% 109.47/58.45 | Combining equations (613,595) yields a new equation:
% 109.47/58.45 | (798) e4 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (798) can reduce 21 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (507) ~ (all_0_30_30 = e4)
% 109.47/58.45 | (600) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (123), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (736) all_0_15_15 = e0
% 109.47/58.45 |
% 109.47/58.45 | Equations (736) can reduce 769 to:
% 109.47/58.45 | (496) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 496 yields:
% 109.47/58.45 | (336) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (4707), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (1463) all_0_33_33 = e0
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 105 to:
% 109.47/58.45 | (889) ~ (all_0_32_32 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 594 to:
% 109.47/58.45 | (543) ~ (e4 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 543 yields:
% 109.47/58.45 | (267) ~ (e4 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 574 to:
% 109.47/58.45 | (665) ~ (e3 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 665 yields:
% 109.47/58.45 | (80) ~ (e3 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 671 to:
% 109.47/58.45 | (496) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 496 yields:
% 109.47/58.45 | (336) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (176), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (2612) ~ (all_0_33_33 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 2612 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (1463) all_0_33_33 = e0
% 109.47/58.45 | (2751) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e3) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e4)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (18), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (2612) ~ (all_0_33_33 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Equations (1463) can reduce 2612 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (1463) all_0_33_33 = e0
% 109.47/58.45 | (2619) (all_0_4_4 = all_0_34_34 & ~ (all_0_3_3 = e4) & op(all_0_34_34, e1) = all_0_3_3) | (all_0_4_4 = all_0_34_34 & ~ (all_0_34_34 = e3)) | (all_0_5_5 = all_0_38_38 & ~ (all_0_38_38 = e2))
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (600), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (2556) all_0_31_31 = e4
% 109.47/58.45 |
% 109.47/58.45 | Combining equations (414,2556) yields a new equation:
% 109.47/58.45 | (838) e4 = e1
% 109.47/58.45 |
% 109.47/58.45 | Equations (838) can reduce 56 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (2559) ~ (all_0_31_31 = e4)
% 109.47/58.45 | (2560) all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (2560), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (609) all_0_32_32 = e4
% 109.47/58.45 |
% 109.47/58.45 | Equations (609) can reduce 889 to:
% 109.47/58.45 | (267) ~ (e4 = e0)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (168), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (1163) all_0_19_19 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (1163) can reduce 174 to:
% 109.47/58.45 | (478) ~ (all_0_29_29 = e2)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 478 yields:
% 109.47/58.45 | (479) ~ (all_0_29_29 = e2)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (88), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (941) all_0_29_29 = e4
% 109.47/58.45 |
% 109.47/58.45 | Equations (941) can reduce 603 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (603) ~ (all_0_29_29 = e4)
% 109.47/58.45 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (5059), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (3056) all_0_29_29 = e3
% 109.47/58.45 |
% 109.47/58.45 | Equations (3056) can reduce 3115 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (3115) ~ (all_0_29_29 = e3)
% 109.47/58.45 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (5198), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (5199) all_0_29_29 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (5199) can reduce 479 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (479) ~ (all_0_29_29 = e2)
% 109.47/58.45 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (5202), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (4599) all_0_29_29 = e1
% 109.47/58.45 |
% 109.47/58.45 | Equations (4599) can reduce 2946 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (2946) ~ (all_0_29_29 = e1)
% 109.47/58.45 | (5206) all_0_29_29 = e0
% 109.47/58.45 |
% 109.47/58.45 | Equations (5206) can reduce 493 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (706) ~ (all_0_19_19 = e2)
% 109.47/58.45 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (7045), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (7046) all_0_24_24 = e2
% 109.47/58.45 |
% 109.47/58.45 | Combining equations (7046,488) yields a new equation:
% 109.47/58.45 | (524) e2 = e0
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 524 yields:
% 109.47/58.45 | (525) e2 = e0
% 109.47/58.45 |
% 109.47/58.45 | Equations (525) can reduce 336 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (446) ~ (all_0_24_24 = e2)
% 109.47/58.45 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.47/58.45 |
% 109.47/58.45 | Equations (488) can reduce 446 to:
% 109.47/58.45 | (496) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 496 yields:
% 109.47/58.45 | (336) ~ (e2 = e0)
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (5498), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (523) all_0_26_26 = e0
% 109.47/58.45 |
% 109.47/58.45 | Combining equations (471,523) yields a new equation:
% 109.47/58.45 | (524) e2 = e0
% 109.47/58.45 |
% 109.47/58.45 | Simplifying 524 yields:
% 109.47/58.45 | (525) e2 = e0
% 109.47/58.45 |
% 109.47/58.45 | Equations (525) can reduce 336 to:
% 109.47/58.45 | (400) $false
% 109.47/58.45 |
% 109.47/58.45 |-The branch is then unsatisfiable
% 109.47/58.45 |-Branch two:
% 109.47/58.45 | (527) ~ (all_0_26_26 = e0)
% 109.47/58.45 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.47/58.45 |
% 109.47/58.45 +-Applying beta-rule and splitting (5504), into two cases.
% 109.47/58.45 |-Branch one:
% 109.47/58.45 | (995) all_0_27_27 = e0
% 109.47/58.45 |
% 109.47/58.45 | Combining equations (808,995) yields a new equation:
% 109.47/58.45 | (647) e3 = e0
% 109.47/58.45 |
% 109.47/58.46 | Simplifying 647 yields:
% 109.47/58.46 | (648) e3 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (648) can reduce 80 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (660) ~ (all_0_27_27 = e0)
% 109.47/58.46 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (5510), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1125) all_0_28_28 = e0
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (1125,854) yields a new equation:
% 109.47/58.46 | (515) e4 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (515) can reduce 267 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (758) ~ (all_0_28_28 = e0)
% 109.47/58.46 | (5206) all_0_29_29 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (5206) can reduce 493 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (604) ~ (all_0_32_32 = e4)
% 109.47/58.46 | (4348) all_0_33_33 = e4 | all_0_34_34 = e4
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (4348), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1322) all_0_33_33 = e4
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (1463,1322) yields a new equation:
% 109.47/58.46 | (515) e4 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (515) can reduce 267 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (594) ~ (all_0_33_33 = e4)
% 109.47/58.46 | (601) all_0_34_34 = e4
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (601,2571) yields a new equation:
% 109.47/58.46 | (596) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 596 yields:
% 109.47/58.46 | (597) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Equations (597) can reduce 255 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (2612) ~ (all_0_33_33 = e0)
% 109.47/58.46 | (3225) all_0_38_38 = e0
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (3225,3218) yields a new equation:
% 109.47/58.46 | (525) e2 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (525) can reduce 336 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (739) ~ (all_0_15_15 = e0)
% 109.47/58.46 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (4707), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1463) all_0_33_33 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (1463) can reduce 574 to:
% 109.47/58.46 | (665) ~ (e3 = e0)
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 665 yields:
% 109.47/58.46 | (80) ~ (e3 = e0)
% 109.47/58.46 |
% 109.47/58.46 | Equations (1463) can reduce 671 to:
% 109.47/58.46 | (496) ~ (e2 = e0)
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 496 yields:
% 109.47/58.46 | (336) ~ (e2 = e0)
% 109.47/58.46 |
% 109.47/58.46 | Equations (1463) can reduce 436 to:
% 109.47/58.46 | (498) ~ (e1 = e0)
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 498 yields:
% 109.47/58.46 | (40) ~ (e1 = e0)
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (3061), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (601) all_0_34_34 = e4
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (601,2571) yields a new equation:
% 109.47/58.46 | (596) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 596 yields:
% 109.47/58.46 | (597) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Equations (597) can reduce 255 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (2554) ~ (all_0_34_34 = e4)
% 109.47/58.46 | (697) all_0_39_39 = e4
% 109.47/58.46 |
% 109.47/58.46 | Equations (697) can reduce 571 to:
% 109.47/58.46 | (255) ~ (e4 = e3)
% 109.47/58.46 |
% 109.47/58.46 | Equations (697) can reduce 542 to:
% 109.47/58.46 | (267) ~ (e4 = e0)
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (5498), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (523) all_0_26_26 = e0
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (523,471) yields a new equation:
% 109.47/58.46 | (525) e2 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (525) can reduce 336 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (527) ~ (all_0_26_26 = e0)
% 109.47/58.46 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.47/58.46 |
% 109.47/58.46 | Equations (471) can reduce 527 to:
% 109.47/58.46 | (336) ~ (e2 = e0)
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (251), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1278), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1279), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1280), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1281), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1282), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1283), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1284), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1285), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1286), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1287), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1288), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1289), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1290), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1291), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1292), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1293), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1294), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.47/58.46 |
% 109.47/58.46 +-Applying beta-rule and splitting (1295), into two cases.
% 109.47/58.46 |-Branch one:
% 109.47/58.46 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.47/58.46 |
% 109.47/58.46 | Applying alpha-rule on (1296) yields:
% 109.47/58.46 | (1297) all_0_15_15 = e3
% 109.47/58.46 | (550) all_0_21_21 = e4
% 109.47/58.46 | (1299) ~ (all_0_16_16 = e4)
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (550,557) yields a new equation:
% 109.47/58.46 | (596) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 596 yields:
% 109.47/58.46 | (597) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Equations (597) can reduce 255 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.47/58.46 |
% 109.47/58.46 | Applying alpha-rule on (1303) yields:
% 109.47/58.46 | (1297) all_0_15_15 = e3
% 109.47/58.46 | (550) all_0_21_21 = e4
% 109.47/58.46 | (1306) ~ (all_0_20_20 = e3)
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (550,557) yields a new equation:
% 109.47/58.46 | (596) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Simplifying 596 yields:
% 109.47/58.46 | (597) e4 = e3
% 109.47/58.46 |
% 109.47/58.46 | Equations (597) can reduce 255 to:
% 109.47/58.46 | (400) $false
% 109.47/58.46 |
% 109.47/58.46 |-The branch is then unsatisfiable
% 109.47/58.46 |-Branch two:
% 109.47/58.46 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.47/58.46 |
% 109.47/58.46 | Applying alpha-rule on (1310) yields:
% 109.47/58.46 | (711) all_0_15_15 = e2
% 109.47/58.46 | (804) all_0_27_27 = e4
% 109.47/58.46 | (456) ~ (all_0_17_17 = e4)
% 109.47/58.46 |
% 109.47/58.46 | Combining equations (804,808) yields a new equation:
% 109.47/58.47 | (596) e4 = e3
% 109.47/58.47 |
% 109.47/58.47 | Simplifying 596 yields:
% 109.47/58.47 | (597) e4 = e3
% 109.47/58.47 |
% 109.47/58.47 | Equations (597) can reduce 255 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1315) yields:
% 109.47/58.47 | (711) all_0_15_15 = e2
% 109.47/58.47 | (804) all_0_27_27 = e4
% 109.47/58.47 | (473) ~ (all_0_25_25 = e2)
% 109.47/58.47 |
% 109.47/58.47 | Combining equations (804,808) yields a new equation:
% 109.47/58.47 | (596) e4 = e3
% 109.47/58.47 |
% 109.47/58.47 | Simplifying 596 yields:
% 109.47/58.47 | (597) e4 = e3
% 109.47/58.47 |
% 109.47/58.47 | Equations (597) can reduce 255 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1320) yields:
% 109.47/58.47 | (969) all_0_15_15 = e1
% 109.47/58.47 | (1322) all_0_33_33 = e4
% 109.47/58.47 | (458) ~ (all_0_18_18 = e4)
% 109.47/58.47 |
% 109.47/58.47 | Combining equations (1463,1322) yields a new equation:
% 109.47/58.47 | (515) e4 = e0
% 109.47/58.47 |
% 109.47/58.47 | Equations (515) can reduce 267 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1326) yields:
% 109.47/58.47 | (969) all_0_15_15 = e1
% 109.47/58.47 | (1322) all_0_33_33 = e4
% 109.47/58.47 | (417) ~ (all_0_30_30 = e1)
% 109.47/58.47 |
% 109.47/58.47 | Combining equations (1463,1322) yields a new equation:
% 109.47/58.47 | (515) e4 = e0
% 109.47/58.47 |
% 109.47/58.47 | Equations (515) can reduce 267 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1332) yields:
% 109.47/58.47 | (736) all_0_15_15 = e0
% 109.47/58.47 | (697) all_0_39_39 = e4
% 109.47/58.47 | (460) ~ (all_0_19_19 = e4)
% 109.47/58.47 |
% 109.47/58.47 | Equations (736) can reduce 739 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1339) yields:
% 109.47/58.47 | (736) all_0_15_15 = e0
% 109.47/58.47 | (697) all_0_39_39 = e4
% 109.47/58.47 | (536) ~ (all_0_35_35 = e0)
% 109.47/58.47 |
% 109.47/58.47 | Equations (736) can reduce 739 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1346) yields:
% 109.47/58.47 | (1347) all_0_21_21 = e2
% 109.47/58.47 | (808) all_0_27_27 = e3
% 109.47/58.47 | (925) ~ (all_0_22_22 = e3)
% 109.47/58.47 |
% 109.47/58.47 | Combining equations (1347,557) yields a new equation:
% 109.47/58.47 | (615) e3 = e2
% 109.47/58.47 |
% 109.47/58.47 | Equations (615) can reduce 52 to:
% 109.47/58.47 | (400) $false
% 109.47/58.47 |
% 109.47/58.47 |-The branch is then unsatisfiable
% 109.47/58.47 |-Branch two:
% 109.47/58.47 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.47/58.47 |
% 109.47/58.47 | Applying alpha-rule on (1352) yields:
% 109.47/58.47 | (1347) all_0_21_21 = e2
% 109.47/58.47 | (808) all_0_27_27 = e3
% 109.47/58.47 | (1355) ~ (all_0_26_26 = e2)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1347,557) yields a new equation:
% 109.57/58.47 | (615) e3 = e2
% 109.57/58.47 |
% 109.57/58.47 | Equations (615) can reduce 52 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1358) yields:
% 109.57/58.47 | (1359) all_0_21_21 = e1
% 109.57/58.47 | (1360) all_0_33_33 = e3
% 109.57/58.47 | (1361) ~ (all_0_23_23 = e3)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1359,557) yields a new equation:
% 109.57/58.47 | (928) e3 = e1
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1463,1360) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (648,928) yields a new equation:
% 109.57/58.47 | (531) e1 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (531) can reduce 40 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1367) yields:
% 109.57/58.47 | (1359) all_0_21_21 = e1
% 109.57/58.47 | (1360) all_0_33_33 = e3
% 109.57/58.47 | (1370) ~ (all_0_31_31 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1359,557) yields a new equation:
% 109.57/58.47 | (928) e3 = e1
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1463,1360) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (648,928) yields a new equation:
% 109.57/58.47 | (531) e1 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (531) can reduce 40 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1376) yields:
% 109.57/58.47 | (519) all_0_21_21 = e0
% 109.57/58.47 | (701) all_0_39_39 = e3
% 109.57/58.47 | (1379) ~ (all_0_24_24 = e3)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (519,557) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (648) can reduce 80 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1385) yields:
% 109.57/58.47 | (519) all_0_21_21 = e0
% 109.57/58.47 | (701) all_0_39_39 = e3
% 109.57/58.47 | (1388) ~ (all_0_36_36 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (519,557) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (648) can reduce 80 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1394) yields:
% 109.57/58.47 | (816) all_0_27_27 = e1
% 109.57/58.47 | (637) all_0_33_33 = e2
% 109.57/58.47 | (477) ~ (all_0_28_28 = e2)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1463,637) yields a new equation:
% 109.57/58.47 | (525) e2 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (525) can reduce 336 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1421) yields:
% 109.57/58.47 | (816) all_0_27_27 = e1
% 109.57/58.47 | (637) all_0_33_33 = e2
% 109.57/58.47 | (419) ~ (all_0_32_32 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1463,637) yields a new equation:
% 109.57/58.47 | (525) e2 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (525) can reduce 336 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1448) yields:
% 109.57/58.47 | (995) all_0_27_27 = e0
% 109.57/58.47 | (705) all_0_39_39 = e2
% 109.57/58.47 | (479) ~ (all_0_29_29 = e2)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (995,808) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (648) can reduce 80 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1455) yields:
% 109.57/58.47 | (995) all_0_27_27 = e0
% 109.57/58.47 | (705) all_0_39_39 = e2
% 109.57/58.47 | (538) ~ (all_0_37_37 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (995,808) yields a new equation:
% 109.57/58.47 | (648) e3 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (648) can reduce 80 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1462) yields:
% 109.57/58.47 | (1463) all_0_33_33 = e0
% 109.57/58.47 | (1252) all_0_39_39 = e1
% 109.57/58.47 | (421) ~ (all_0_34_34 = e1)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1252,697) yields a new equation:
% 109.57/58.47 | (838) e4 = e1
% 109.57/58.47 |
% 109.57/58.47 | Equations (838) can reduce 56 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Applying alpha-rule on (1469) yields:
% 109.57/58.47 | (1463) all_0_33_33 = e0
% 109.57/58.47 | (1252) all_0_39_39 = e1
% 109.57/58.47 | (540) ~ (all_0_38_38 = e0)
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (1252,697) yields a new equation:
% 109.57/58.47 | (838) e4 = e1
% 109.57/58.47 |
% 109.57/58.47 | Equations (838) can reduce 56 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (2612) ~ (all_0_33_33 = e0)
% 109.57/58.47 | (3225) all_0_38_38 = e0
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (3225,3218) yields a new equation:
% 109.57/58.47 | (525) e2 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (525) can reduce 336 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (617) ~ (all_0_30_30 = e2)
% 109.57/58.47 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.57/58.47 |
% 109.57/58.47 +-Applying beta-rule and splitting (618), into two cases.
% 109.57/58.47 |-Branch one:
% 109.57/58.47 | (619) all_0_31_31 = e2
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (414,619) yields a new equation:
% 109.57/58.47 | (621) e2 = e1
% 109.57/58.47 |
% 109.57/58.47 | Equations (621) can reduce 310 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (623) ~ (all_0_31_31 = e2)
% 109.57/58.47 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.57/58.47 |
% 109.57/58.47 +-Applying beta-rule and splitting (624), into two cases.
% 109.57/58.47 |-Branch one:
% 109.57/58.47 | (625) all_0_32_32 = e2
% 109.57/58.47 |
% 109.57/58.47 | Equations (625) can reduce 448 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (448) ~ (all_0_32_32 = e2)
% 109.57/58.47 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 109.57/58.47 |
% 109.57/58.47 +-Applying beta-rule and splitting (628), into two cases.
% 109.57/58.47 |-Branch one:
% 109.57/58.47 | (637) all_0_33_33 = e2
% 109.57/58.47 |
% 109.57/58.47 | Equations (637) can reduce 671 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (671) ~ (all_0_33_33 = e2)
% 109.57/58.47 | (2551) all_0_34_34 = e2
% 109.57/58.47 |
% 109.57/58.47 | Combining equations (2571,2551) yields a new equation:
% 109.57/58.47 | (614) e3 = e2
% 109.57/58.47 |
% 109.57/58.47 | Simplifying 614 yields:
% 109.57/58.47 | (615) e3 = e2
% 109.57/58.47 |
% 109.57/58.47 | Equations (615) can reduce 52 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (2728) ~ (all_0_38_38 = e2)
% 109.57/58.47 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 109.57/58.47 |
% 109.57/58.47 +-Applying beta-rule and splitting (3221), into two cases.
% 109.57/58.47 |-Branch one:
% 109.57/58.47 | (3222) all_0_38_38 = e1
% 109.57/58.47 |
% 109.57/58.47 | Equations (3222) can reduce 438 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (438) ~ (all_0_38_38 = e1)
% 109.57/58.47 | (3225) all_0_38_38 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (3225) can reduce 540 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.47 |-Branch two:
% 109.57/58.47 | (1519) ~ (all_0_25_25 = e1)
% 109.57/58.47 | (749) all_0_25_25 = e0
% 109.57/58.47 |
% 109.57/58.47 | Equations (749) can reduce 1054 to:
% 109.57/58.47 | (400) $false
% 109.57/58.47 |
% 109.57/58.47 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (883) ~ (all_0_28_28 = e4)
% 109.57/58.48 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1021), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1106) all_0_28_28 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (1106) can reduce 893 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (893) ~ (all_0_28_28 = e3)
% 109.57/58.48 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1117), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1118) all_0_28_28 = e2
% 109.57/58.48 |
% 109.57/58.48 | Equations (1118) can reduce 477 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (477) ~ (all_0_28_28 = e2)
% 109.57/58.48 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (55), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (590) all_0_25_25 = e4
% 109.57/58.48 |
% 109.57/58.48 | Equations (590) can reduce 505 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (505) ~ (all_0_25_25 = e4)
% 109.57/58.48 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1121), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1122) all_0_28_28 = e1
% 109.57/58.48 |
% 109.57/58.48 | Equations (1122) can reduce 434 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (434) ~ (all_0_28_28 = e1)
% 109.57/58.48 | (1125) all_0_28_28 = e0
% 109.57/58.48 |
% 109.57/58.48 | Equations (1125) can reduce 185 to:
% 109.57/58.48 | (1054) ~ (all_0_25_25 = e0)
% 109.57/58.48 |
% 109.57/58.48 | Equations (1125) can reduce 230 to:
% 109.57/58.48 | (9509) ~ (all_0_33_33 = e0)
% 109.57/58.48 |
% 109.57/58.48 | Simplifying 9509 yields:
% 109.57/58.48 | (2612) ~ (all_0_33_33 = e0)
% 109.57/58.48 |
% 109.57/58.48 | Equations (1125) can reduce 893 to:
% 109.57/58.48 | (665) ~ (e3 = e0)
% 109.57/58.48 |
% 109.57/58.48 | Simplifying 665 yields:
% 109.57/58.48 | (80) ~ (e3 = e0)
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (237), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (590) all_0_25_25 = e4
% 109.57/58.48 |
% 109.57/58.48 | Equations (590) can reduce 505 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (505) ~ (all_0_25_25 = e4)
% 109.57/58.48 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (790), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (832) all_0_26_26 = e4
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (471,832) yields a new equation:
% 109.57/58.48 | (798) e4 = e2
% 109.57/58.48 |
% 109.57/58.48 | Equations (798) can reduce 21 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (464) ~ (all_0_26_26 = e4)
% 109.57/58.48 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (593), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1698) all_0_25_25 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (1698) can reduce 577 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (577) ~ (all_0_25_25 = e3)
% 109.57/58.48 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (836), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (804) all_0_27_27 = e4
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (804,808) yields a new equation:
% 109.57/58.48 | (596) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Simplifying 596 yields:
% 109.57/58.48 | (597) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (597) can reduce 255 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (785) ~ (all_0_27_27 = e4)
% 109.57/58.48 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 109.57/58.48 |
% 109.57/58.48 | Equations (808) can reduce 785 to:
% 109.57/58.48 | (558) ~ (e4 = e3)
% 109.57/58.48 |
% 109.57/58.48 | Simplifying 558 yields:
% 109.57/58.48 | (255) ~ (e4 = e3)
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1701), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1536) all_0_25_25 = e2
% 109.57/58.48 |
% 109.57/58.48 | Equations (1536) can reduce 473 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (473) ~ (all_0_25_25 = e2)
% 109.57/58.48 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1705), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1495) all_0_25_25 = e1
% 109.57/58.48 |
% 109.57/58.48 | Equations (1495) can reduce 42 to:
% 109.57/58.48 | (679) ~ (all_0_15_15 = e1)
% 109.57/58.48 |
% 109.57/58.48 | Equations (1495) can reduce 577 to:
% 109.57/58.48 | (824) ~ (e3 = e1)
% 109.57/58.48 |
% 109.57/58.48 | Simplifying 824 yields:
% 109.57/58.48 | (298) ~ (e3 = e1)
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (251), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1278), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1279), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1280), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1281), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1282), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1283), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1284), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1285), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1286), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1287), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1288), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1289), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1290), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1291), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1292), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1293), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1294), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.57/58.48 |
% 109.57/58.48 +-Applying beta-rule and splitting (1295), into two cases.
% 109.57/58.48 |-Branch one:
% 109.57/58.48 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Applying alpha-rule on (1296) yields:
% 109.57/58.48 | (1297) all_0_15_15 = e3
% 109.57/58.48 | (550) all_0_21_21 = e4
% 109.57/58.48 | (1299) ~ (all_0_16_16 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (557,550) yields a new equation:
% 109.57/58.48 | (597) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (597) can reduce 255 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.57/58.48 |
% 109.57/58.48 | Applying alpha-rule on (1303) yields:
% 109.57/58.48 | (1297) all_0_15_15 = e3
% 109.57/58.48 | (550) all_0_21_21 = e4
% 109.57/58.48 | (1306) ~ (all_0_20_20 = e3)
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (557,550) yields a new equation:
% 109.57/58.48 | (597) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (597) can reduce 255 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Applying alpha-rule on (1310) yields:
% 109.57/58.48 | (711) all_0_15_15 = e2
% 109.57/58.48 | (804) all_0_27_27 = e4
% 109.57/58.48 | (456) ~ (all_0_17_17 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (808,804) yields a new equation:
% 109.57/58.48 | (597) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (597) can reduce 255 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.57/58.48 |
% 109.57/58.48 | Applying alpha-rule on (1315) yields:
% 109.57/58.48 | (711) all_0_15_15 = e2
% 109.57/58.48 | (804) all_0_27_27 = e4
% 109.57/58.48 | (473) ~ (all_0_25_25 = e2)
% 109.57/58.48 |
% 109.57/58.48 | Combining equations (808,804) yields a new equation:
% 109.57/58.48 | (597) e4 = e3
% 109.57/58.48 |
% 109.57/58.48 | Equations (597) can reduce 255 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.48 |-Branch two:
% 109.57/58.48 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Applying alpha-rule on (1320) yields:
% 109.57/58.48 | (969) all_0_15_15 = e1
% 109.57/58.48 | (1322) all_0_33_33 = e4
% 109.57/58.48 | (458) ~ (all_0_18_18 = e4)
% 109.57/58.48 |
% 109.57/58.48 | Equations (969) can reduce 679 to:
% 109.57/58.48 | (400) $false
% 109.57/58.48 |
% 109.57/58.48 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1326) yields:
% 109.57/58.49 | (969) all_0_15_15 = e1
% 109.57/58.49 | (1322) all_0_33_33 = e4
% 109.57/58.49 | (417) ~ (all_0_30_30 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Equations (969) can reduce 679 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1332) yields:
% 109.57/58.49 | (736) all_0_15_15 = e0
% 109.57/58.49 | (697) all_0_39_39 = e4
% 109.57/58.49 | (460) ~ (all_0_19_19 = e4)
% 109.57/58.49 |
% 109.57/58.49 | Equations (697) can reduce 291 to:
% 109.57/58.49 | (603) ~ (all_0_29_29 = e4)
% 109.57/58.49 |
% 109.57/58.49 | Equations (697) can reduce 542 to:
% 109.57/58.49 | (267) ~ (e4 = e0)
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (88), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (941) all_0_29_29 = e4
% 109.57/58.49 |
% 109.57/58.49 | Equations (941) can reduce 603 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (603) ~ (all_0_29_29 = e4)
% 109.57/58.49 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (853), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (854) all_0_28_28 = e4
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (854,1125) yields a new equation:
% 109.57/58.49 | (743) e4 = e0
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 743 yields:
% 109.57/58.49 | (515) e4 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (515) can reduce 267 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (883) ~ (all_0_28_28 = e4)
% 109.57/58.49 | (941) all_0_29_29 = e4
% 109.57/58.49 |
% 109.57/58.49 | Equations (941) can reduce 603 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1339) yields:
% 109.57/58.49 | (736) all_0_15_15 = e0
% 109.57/58.49 | (697) all_0_39_39 = e4
% 109.57/58.49 | (536) ~ (all_0_35_35 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Equations (697) can reduce 291 to:
% 109.57/58.49 | (603) ~ (all_0_29_29 = e4)
% 109.57/58.49 |
% 109.57/58.49 | Equations (697) can reduce 542 to:
% 109.57/58.49 | (267) ~ (e4 = e0)
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (88), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (941) all_0_29_29 = e4
% 109.57/58.49 |
% 109.57/58.49 | Equations (941) can reduce 603 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (603) ~ (all_0_29_29 = e4)
% 109.57/58.49 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (853), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (854) all_0_28_28 = e4
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (854,1125) yields a new equation:
% 109.57/58.49 | (743) e4 = e0
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 743 yields:
% 109.57/58.49 | (515) e4 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (515) can reduce 267 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (883) ~ (all_0_28_28 = e4)
% 109.57/58.49 | (941) all_0_29_29 = e4
% 109.57/58.49 |
% 109.57/58.49 | Equations (941) can reduce 603 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1346) yields:
% 109.57/58.49 | (1347) all_0_21_21 = e2
% 109.57/58.49 | (808) all_0_27_27 = e3
% 109.57/58.49 | (925) ~ (all_0_22_22 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (1347,557) yields a new equation:
% 109.57/58.49 | (615) e3 = e2
% 109.57/58.49 |
% 109.57/58.49 | Equations (615) can reduce 52 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1352) yields:
% 109.57/58.49 | (1347) all_0_21_21 = e2
% 109.57/58.49 | (808) all_0_27_27 = e3
% 109.57/58.49 | (1355) ~ (all_0_26_26 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (1347,557) yields a new equation:
% 109.57/58.49 | (615) e3 = e2
% 109.57/58.49 |
% 109.57/58.49 | Equations (615) can reduce 52 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1358) yields:
% 109.57/58.49 | (1359) all_0_21_21 = e1
% 109.57/58.49 | (1360) all_0_33_33 = e3
% 109.57/58.49 | (1361) ~ (all_0_23_23 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (1359,557) yields a new equation:
% 109.57/58.49 | (928) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Equations (928) can reduce 298 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1367) yields:
% 109.57/58.49 | (1359) all_0_21_21 = e1
% 109.57/58.49 | (1360) all_0_33_33 = e3
% 109.57/58.49 | (1370) ~ (all_0_31_31 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (1359,557) yields a new equation:
% 109.57/58.49 | (928) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Equations (928) can reduce 298 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1376) yields:
% 109.57/58.49 | (519) all_0_21_21 = e0
% 109.57/58.49 | (701) all_0_39_39 = e3
% 109.57/58.49 | (1379) ~ (all_0_24_24 = e3)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (519,557) yields a new equation:
% 109.57/58.49 | (648) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (648) can reduce 80 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1385) yields:
% 109.57/58.49 | (519) all_0_21_21 = e0
% 109.57/58.49 | (701) all_0_39_39 = e3
% 109.57/58.49 | (1388) ~ (all_0_36_36 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (519,557) yields a new equation:
% 109.57/58.49 | (648) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (648) can reduce 80 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1394) yields:
% 109.57/58.49 | (816) all_0_27_27 = e1
% 109.57/58.49 | (637) all_0_33_33 = e2
% 109.57/58.49 | (477) ~ (all_0_28_28 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (808,816) yields a new equation:
% 109.57/58.49 | (1113) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 1113 yields:
% 109.57/58.49 | (928) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Equations (928) can reduce 298 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1421) yields:
% 109.57/58.49 | (816) all_0_27_27 = e1
% 109.57/58.49 | (637) all_0_33_33 = e2
% 109.57/58.49 | (419) ~ (all_0_32_32 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (808,816) yields a new equation:
% 109.57/58.49 | (1113) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 1113 yields:
% 109.57/58.49 | (928) e3 = e1
% 109.57/58.49 |
% 109.57/58.49 | Equations (928) can reduce 298 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1448) yields:
% 109.57/58.49 | (995) all_0_27_27 = e0
% 109.57/58.49 | (705) all_0_39_39 = e2
% 109.57/58.49 | (479) ~ (all_0_29_29 = e2)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (808,995) yields a new equation:
% 109.57/58.49 | (647) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 647 yields:
% 109.57/58.49 | (648) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (648) can reduce 80 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1455) yields:
% 109.57/58.49 | (995) all_0_27_27 = e0
% 109.57/58.49 | (705) all_0_39_39 = e2
% 109.57/58.49 | (538) ~ (all_0_37_37 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Combining equations (808,995) yields a new equation:
% 109.57/58.49 | (647) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Simplifying 647 yields:
% 109.57/58.49 | (648) e3 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (648) can reduce 80 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1462) yields:
% 109.57/58.49 | (1463) all_0_33_33 = e0
% 109.57/58.49 | (1252) all_0_39_39 = e1
% 109.57/58.49 | (421) ~ (all_0_34_34 = e1)
% 109.57/58.49 |
% 109.57/58.49 | Equations (1463) can reduce 2612 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Applying alpha-rule on (1469) yields:
% 109.57/58.49 | (1463) all_0_33_33 = e0
% 109.57/58.49 | (1252) all_0_39_39 = e1
% 109.57/58.49 | (540) ~ (all_0_38_38 = e0)
% 109.57/58.49 |
% 109.57/58.49 | Equations (1463) can reduce 2612 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1519) ~ (all_0_25_25 = e1)
% 109.57/58.49 | (749) all_0_25_25 = e0
% 109.57/58.49 |
% 109.57/58.49 | Equations (749) can reduce 1054 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1189) ~ (all_0_18_18 = e3)
% 109.57/58.49 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (3122), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (855) all_0_17_17 = e3
% 109.57/58.49 |
% 109.57/58.49 | Equations (855) can reduce 919 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (919) ~ (all_0_17_17 = e3)
% 109.57/58.49 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 109.57/58.49 |
% 109.57/58.49 +-Applying beta-rule and splitting (3176), into two cases.
% 109.57/58.49 |-Branch one:
% 109.57/58.49 | (1147) all_0_18_18 = e3
% 109.57/58.49 |
% 109.57/58.49 | Equations (1147) can reduce 1189 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1189) ~ (all_0_18_18 = e3)
% 109.57/58.49 | (1159) all_0_19_19 = e3
% 109.57/58.49 |
% 109.57/58.49 | Equations (1159) can reduce 1150 to:
% 109.57/58.49 | (400) $false
% 109.57/58.49 |
% 109.57/58.49 |-The branch is then unsatisfiable
% 109.57/58.49 |-Branch two:
% 109.57/58.49 | (1360) all_0_33_33 = e3
% 109.57/58.50 | (19128) (all_0_4_4 = all_0_31_31 & ~ (all_0_3_3 = e4) & op(all_0_31_31, e1) = all_0_3_3) | (all_0_4_4 = all_0_31_31 & ~ (all_0_31_31 = e0)) | (all_0_5_5 = all_0_23_23 & ~ (all_0_23_23 = e2))
% 109.57/58.50 |
% 109.57/58.50 | Equations (1360) can reduce 33 to:
% 109.57/58.50 | (1189) ~ (all_0_18_18 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (1360) can reduce 436 to:
% 109.57/58.50 | (298) ~ (e3 = e1)
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (198), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1297) all_0_15_15 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (1297) can reduce 572 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (572) ~ (all_0_15_15 = e3)
% 109.57/58.50 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (2769), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (3117) all_0_16_16 = e3
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (3117,454) yields a new equation:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (3121) ~ (all_0_16_16 = e3)
% 109.57/58.50 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (3122), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (855) all_0_17_17 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (855) can reduce 919 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (919) ~ (all_0_17_17 = e3)
% 109.57/58.50 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (3176), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1147) all_0_18_18 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (1147) can reduce 1189 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1189) ~ (all_0_18_18 = e3)
% 109.57/58.50 | (1159) all_0_19_19 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (1159) can reduce 319 to:
% 109.57/58.50 | (572) ~ (all_0_15_15 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (1159) can reduce 460 to:
% 109.57/58.50 | (558) ~ (e4 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Simplifying 558 yields:
% 109.57/58.50 | (255) ~ (e4 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (1159) can reduce 489 to:
% 109.57/58.50 | (80) ~ (e3 = e0)
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (254), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (728) all_0_35_35 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (728) can reduce 39 to:
% 109.57/58.50 | (572) ~ (all_0_15_15 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (728) can reduce 63 to:
% 109.57/58.50 | (10723) ~ (all_0_39_39 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Simplifying 10723 yields:
% 109.57/58.50 | (571) ~ (all_0_39_39 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (728) can reduce 509 to:
% 109.57/58.50 | (558) ~ (e4 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Simplifying 558 yields:
% 109.57/58.50 | (255) ~ (e4 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Equations (728) can reduce 536 to:
% 109.57/58.50 | (80) ~ (e3 = e0)
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (251), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1278), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1279), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1280), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1281), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1282), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1283), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1284), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1285), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1286), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1287), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1288), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1289), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1290), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1291), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1292), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1293), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1294), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.57/58.50 |
% 109.57/58.50 +-Applying beta-rule and splitting (1295), into two cases.
% 109.57/58.50 |-Branch one:
% 109.57/58.50 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1296) yields:
% 109.57/58.50 | (1297) all_0_15_15 = e3
% 109.57/58.50 | (550) all_0_21_21 = e4
% 109.57/58.50 | (1299) ~ (all_0_16_16 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (550,557) yields a new equation:
% 109.57/58.50 | (596) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Simplifying 596 yields:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1303) yields:
% 109.57/58.50 | (1297) all_0_15_15 = e3
% 109.57/58.50 | (550) all_0_21_21 = e4
% 109.57/58.50 | (1306) ~ (all_0_20_20 = e3)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (550,557) yields a new equation:
% 109.57/58.50 | (596) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Simplifying 596 yields:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1310) yields:
% 109.57/58.50 | (711) all_0_15_15 = e2
% 109.57/58.50 | (804) all_0_27_27 = e4
% 109.57/58.50 | (456) ~ (all_0_17_17 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (808,804) yields a new equation:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1315) yields:
% 109.57/58.50 | (711) all_0_15_15 = e2
% 109.57/58.50 | (804) all_0_27_27 = e4
% 109.57/58.50 | (473) ~ (all_0_25_25 = e2)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (808,804) yields a new equation:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1320) yields:
% 109.57/58.50 | (969) all_0_15_15 = e1
% 109.57/58.50 | (1322) all_0_33_33 = e4
% 109.57/58.50 | (458) ~ (all_0_18_18 = e4)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (1360,1322) yields a new equation:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.50 |-Branch two:
% 109.57/58.50 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.57/58.50 |
% 109.57/58.50 | Applying alpha-rule on (1326) yields:
% 109.57/58.50 | (969) all_0_15_15 = e1
% 109.57/58.50 | (1322) all_0_33_33 = e4
% 109.57/58.50 | (417) ~ (all_0_30_30 = e1)
% 109.57/58.50 |
% 109.57/58.50 | Combining equations (1360,1322) yields a new equation:
% 109.57/58.50 | (597) e4 = e3
% 109.57/58.50 |
% 109.57/58.50 | Equations (597) can reduce 255 to:
% 109.57/58.50 | (400) $false
% 109.57/58.50 |
% 109.57/58.50 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.57/58.51 |
% 109.57/58.51 | Applying alpha-rule on (1332) yields:
% 109.57/58.51 | (736) all_0_15_15 = e0
% 109.57/58.51 | (697) all_0_39_39 = e4
% 109.57/58.51 | (460) ~ (all_0_19_19 = e4)
% 109.57/58.51 |
% 109.57/58.51 | Equations (736) can reduce 90 to:
% 109.57/58.51 | (10459) ~ (all_0_18_18 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 10459 yields:
% 109.57/58.51 | (1141) ~ (all_0_18_18 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Equations (736) can reduce 572 to:
% 109.57/58.51 | (665) ~ (e3 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 665 yields:
% 109.57/58.51 | (80) ~ (e3 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 231 to:
% 109.57/58.51 | (1835) ~ (all_0_38_38 = e4)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 571 to:
% 109.57/58.51 | (255) ~ (e4 = e3)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 542 to:
% 109.57/58.51 | (267) ~ (e4 = e0)
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (147), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1008) all_0_18_18 = e4
% 109.57/58.51 |
% 109.57/58.51 | Equations (1008) can reduce 458 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (458) ~ (all_0_18_18 = e4)
% 109.57/58.51 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (333), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1846) all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 | Equations (1846) can reduce 1835 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1835) ~ (all_0_38_38 = e4)
% 109.57/58.51 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1012), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1022) all_0_23_23 = e4
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (427,1022) yields a new equation:
% 109.57/58.51 | (838) e4 = e1
% 109.57/58.51 |
% 109.57/58.51 | Equations (838) can reduce 56 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1025) ~ (all_0_23_23 = e4)
% 109.57/58.51 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1026), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (854) all_0_28_28 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (340), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (756) all_0_18_18 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (756) can reduce 1141 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1141) ~ (all_0_18_18 = e0)
% 109.57/58.51 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1142), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (4698) all_0_23_23 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (427,4698) yields a new equation:
% 109.57/58.51 | (530) e1 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 530 yields:
% 109.57/58.51 | (531) e1 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (531) can reduce 40 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (4702) ~ (all_0_23_23 = e0)
% 109.57/58.51 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (4703), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1125) all_0_28_28 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (854,1125) yields a new equation:
% 109.57/58.51 | (743) e4 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 743 yields:
% 109.57/58.51 | (515) e4 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (515) can reduce 267 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (758) ~ (all_0_28_28 = e0)
% 109.57/58.51 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (4707), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1463) all_0_33_33 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (1360,1463) yields a new equation:
% 109.57/58.51 | (647) e3 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 647 yields:
% 109.57/58.51 | (648) e3 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (648) can reduce 80 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (2612) ~ (all_0_33_33 = e0)
% 109.57/58.51 | (3225) all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (3225) can reduce 540 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (883) ~ (all_0_28_28 = e4)
% 109.57/58.51 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1840), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1322) all_0_33_33 = e4
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (1360,1322) yields a new equation:
% 109.57/58.51 | (597) e4 = e3
% 109.57/58.51 |
% 109.57/58.51 | Equations (597) can reduce 255 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (594) ~ (all_0_33_33 = e4)
% 109.57/58.51 | (1846) all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 | Equations (1846) can reduce 1835 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Applying alpha-rule on (1339) yields:
% 109.57/58.51 | (736) all_0_15_15 = e0
% 109.57/58.51 | (697) all_0_39_39 = e4
% 109.57/58.51 | (536) ~ (all_0_35_35 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Equations (736) can reduce 90 to:
% 109.57/58.51 | (10459) ~ (all_0_18_18 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 10459 yields:
% 109.57/58.51 | (1141) ~ (all_0_18_18 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Equations (728) can reduce 536 to:
% 109.57/58.51 | (80) ~ (e3 = e0)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 231 to:
% 109.57/58.51 | (1835) ~ (all_0_38_38 = e4)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 571 to:
% 109.57/58.51 | (255) ~ (e4 = e3)
% 109.57/58.51 |
% 109.57/58.51 | Equations (697) can reduce 542 to:
% 109.57/58.51 | (267) ~ (e4 = e0)
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (147), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1008) all_0_18_18 = e4
% 109.57/58.51 |
% 109.57/58.51 | Equations (1008) can reduce 458 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (458) ~ (all_0_18_18 = e4)
% 109.57/58.51 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (333), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1846) all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 | Equations (1846) can reduce 1835 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1835) ~ (all_0_38_38 = e4)
% 109.57/58.51 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1012), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1022) all_0_23_23 = e4
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (427,1022) yields a new equation:
% 109.57/58.51 | (838) e4 = e1
% 109.57/58.51 |
% 109.57/58.51 | Equations (838) can reduce 56 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1025) ~ (all_0_23_23 = e4)
% 109.57/58.51 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1026), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (854) all_0_28_28 = e4
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (340), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (756) all_0_18_18 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (756) can reduce 1141 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (1141) ~ (all_0_18_18 = e0)
% 109.57/58.51 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (1142), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (4698) all_0_23_23 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (427,4698) yields a new equation:
% 109.57/58.51 | (530) e1 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 530 yields:
% 109.57/58.51 | (531) e1 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (531) can reduce 40 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (4702) ~ (all_0_23_23 = e0)
% 109.57/58.51 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (4703), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1125) all_0_28_28 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (854,1125) yields a new equation:
% 109.57/58.51 | (743) e4 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 743 yields:
% 109.57/58.51 | (515) e4 = e0
% 109.57/58.51 |
% 109.57/58.51 | Equations (515) can reduce 267 to:
% 109.57/58.51 | (400) $false
% 109.57/58.51 |
% 109.57/58.51 |-The branch is then unsatisfiable
% 109.57/58.51 |-Branch two:
% 109.57/58.51 | (758) ~ (all_0_28_28 = e0)
% 109.57/58.51 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.57/58.51 |
% 109.57/58.51 +-Applying beta-rule and splitting (4707), into two cases.
% 109.57/58.51 |-Branch one:
% 109.57/58.51 | (1463) all_0_33_33 = e0
% 109.57/58.51 |
% 109.57/58.51 | Combining equations (1360,1463) yields a new equation:
% 109.57/58.51 | (647) e3 = e0
% 109.57/58.51 |
% 109.57/58.51 | Simplifying 647 yields:
% 109.57/58.51 | (648) e3 = e0
% 109.57/58.51 |
% 109.63/58.51 | Equations (648) can reduce 80 to:
% 109.63/58.51 | (400) $false
% 109.63/58.51 |
% 109.63/58.51 |-The branch is then unsatisfiable
% 109.63/58.51 |-Branch two:
% 109.63/58.51 | (2612) ~ (all_0_33_33 = e0)
% 109.63/58.51 | (3225) all_0_38_38 = e0
% 109.63/58.51 |
% 109.63/58.51 | Equations (3225) can reduce 540 to:
% 109.63/58.51 | (400) $false
% 109.63/58.51 |
% 109.63/58.51 |-The branch is then unsatisfiable
% 109.63/58.51 |-Branch two:
% 109.63/58.51 | (883) ~ (all_0_28_28 = e4)
% 109.63/58.51 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 109.63/58.51 |
% 109.63/58.51 +-Applying beta-rule and splitting (1840), into two cases.
% 109.63/58.51 |-Branch one:
% 109.63/58.51 | (1322) all_0_33_33 = e4
% 109.63/58.51 |
% 109.63/58.51 | Combining equations (1360,1322) yields a new equation:
% 109.63/58.51 | (597) e4 = e3
% 109.63/58.51 |
% 109.63/58.51 | Equations (597) can reduce 255 to:
% 109.63/58.51 | (400) $false
% 109.63/58.51 |
% 109.63/58.51 |-The branch is then unsatisfiable
% 109.63/58.51 |-Branch two:
% 109.63/58.51 | (594) ~ (all_0_33_33 = e4)
% 109.63/58.51 | (1846) all_0_38_38 = e4
% 109.63/58.51 |
% 109.63/58.51 | Equations (1846) can reduce 1835 to:
% 109.63/58.51 | (400) $false
% 109.63/58.51 |
% 109.63/58.51 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1346) yields:
% 109.63/58.52 | (1347) all_0_21_21 = e2
% 109.63/58.52 | (808) all_0_27_27 = e3
% 109.63/58.52 | (925) ~ (all_0_22_22 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1347,557) yields a new equation:
% 109.63/58.52 | (615) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Equations (615) can reduce 52 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1352) yields:
% 109.63/58.52 | (1347) all_0_21_21 = e2
% 109.63/58.52 | (808) all_0_27_27 = e3
% 109.63/58.52 | (1355) ~ (all_0_26_26 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1347,557) yields a new equation:
% 109.63/58.52 | (615) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Equations (615) can reduce 52 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1358) yields:
% 109.63/58.52 | (1359) all_0_21_21 = e1
% 109.63/58.52 | (1360) all_0_33_33 = e3
% 109.63/58.52 | (1361) ~ (all_0_23_23 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1359,557) yields a new equation:
% 109.63/58.52 | (928) e3 = e1
% 109.63/58.52 |
% 109.63/58.52 | Equations (928) can reduce 298 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1367) yields:
% 109.63/58.52 | (1359) all_0_21_21 = e1
% 109.63/58.52 | (1360) all_0_33_33 = e3
% 109.63/58.52 | (1370) ~ (all_0_31_31 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1359,557) yields a new equation:
% 109.63/58.52 | (928) e3 = e1
% 109.63/58.52 |
% 109.63/58.52 | Equations (928) can reduce 298 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1376) yields:
% 109.63/58.52 | (519) all_0_21_21 = e0
% 109.63/58.52 | (701) all_0_39_39 = e3
% 109.63/58.52 | (1379) ~ (all_0_24_24 = e3)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (519,557) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1385) yields:
% 109.63/58.52 | (519) all_0_21_21 = e0
% 109.63/58.52 | (701) all_0_39_39 = e3
% 109.63/58.52 | (1388) ~ (all_0_36_36 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (519,557) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1394) yields:
% 109.63/58.52 | (816) all_0_27_27 = e1
% 109.63/58.52 | (637) all_0_33_33 = e2
% 109.63/58.52 | (477) ~ (all_0_28_28 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (816,808) yields a new equation:
% 109.63/58.52 | (928) e3 = e1
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1360,637) yields a new equation:
% 109.63/58.52 | (614) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Simplifying 614 yields:
% 109.63/58.52 | (615) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (615,928) yields a new equation:
% 109.63/58.52 | (620) e2 = e1
% 109.63/58.52 |
% 109.63/58.52 | Simplifying 620 yields:
% 109.63/58.52 | (621) e2 = e1
% 109.63/58.52 |
% 109.63/58.52 | Equations (621) can reduce 310 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1421) yields:
% 109.63/58.52 | (816) all_0_27_27 = e1
% 109.63/58.52 | (637) all_0_33_33 = e2
% 109.63/58.52 | (419) ~ (all_0_32_32 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (816,808) yields a new equation:
% 109.63/58.52 | (928) e3 = e1
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1360,637) yields a new equation:
% 109.63/58.52 | (614) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Simplifying 614 yields:
% 109.63/58.52 | (615) e3 = e2
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (615,928) yields a new equation:
% 109.63/58.52 | (620) e2 = e1
% 109.63/58.52 |
% 109.63/58.52 | Simplifying 620 yields:
% 109.63/58.52 | (621) e2 = e1
% 109.63/58.52 |
% 109.63/58.52 | Equations (621) can reduce 310 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1448) yields:
% 109.63/58.52 | (995) all_0_27_27 = e0
% 109.63/58.52 | (705) all_0_39_39 = e2
% 109.63/58.52 | (479) ~ (all_0_29_29 = e2)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (995,808) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1455) yields:
% 109.63/58.52 | (995) all_0_27_27 = e0
% 109.63/58.52 | (705) all_0_39_39 = e2
% 109.63/58.52 | (538) ~ (all_0_37_37 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (995,808) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1462) yields:
% 109.63/58.52 | (1463) all_0_33_33 = e0
% 109.63/58.52 | (1252) all_0_39_39 = e1
% 109.63/58.52 | (421) ~ (all_0_34_34 = e1)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1463,1360) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Applying alpha-rule on (1469) yields:
% 109.63/58.52 | (1463) all_0_33_33 = e0
% 109.63/58.52 | (1252) all_0_39_39 = e1
% 109.63/58.52 | (540) ~ (all_0_38_38 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (1463,1360) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (585) ~ (all_0_35_35 = e3)
% 109.63/58.52 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (4535), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (4536) all_0_36_36 = e3
% 109.63/58.52 |
% 109.63/58.52 | Combining equations (534,4536) yields a new equation:
% 109.63/58.52 | (648) e3 = e0
% 109.63/58.52 |
% 109.63/58.52 | Equations (648) can reduce 80 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (4540) ~ (all_0_36_36 = e3)
% 109.63/58.52 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.63/58.52 |
% 109.63/58.52 | Equations (534) can reduce 4540 to:
% 109.63/58.52 | (665) ~ (e3 = e0)
% 109.63/58.52 |
% 109.63/58.52 | Simplifying 665 yields:
% 109.63/58.52 | (80) ~ (e3 = e0)
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (232), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1297) all_0_15_15 = e3
% 109.63/58.52 |
% 109.63/58.52 | Equations (1297) can reduce 572 to:
% 109.63/58.52 | (400) $false
% 109.63/58.52 |
% 109.63/58.52 |-The branch is then unsatisfiable
% 109.63/58.52 |-Branch two:
% 109.63/58.52 | (572) ~ (all_0_15_15 = e3)
% 109.63/58.52 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (251), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1278), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1279), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1280), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1281), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1282), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1283), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1284), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1285), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1286), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1287), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1288), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1289), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.63/58.52 |
% 109.63/58.52 +-Applying beta-rule and splitting (1290), into two cases.
% 109.63/58.52 |-Branch one:
% 109.63/58.52 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1291), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1292), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1293), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1294), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1295), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1296) yields:
% 109.63/58.53 | (1297) all_0_15_15 = e3
% 109.63/58.53 | (550) all_0_21_21 = e4
% 109.63/58.53 | (1299) ~ (all_0_16_16 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (550,557) yields a new equation:
% 109.63/58.53 | (596) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 596 yields:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1303) yields:
% 109.63/58.53 | (1297) all_0_15_15 = e3
% 109.63/58.53 | (550) all_0_21_21 = e4
% 109.63/58.53 | (1306) ~ (all_0_20_20 = e3)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (550,557) yields a new equation:
% 109.63/58.53 | (596) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 596 yields:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1310) yields:
% 109.63/58.53 | (711) all_0_15_15 = e2
% 109.63/58.53 | (804) all_0_27_27 = e4
% 109.63/58.53 | (456) ~ (all_0_17_17 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (808,804) yields a new equation:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1315) yields:
% 109.63/58.53 | (711) all_0_15_15 = e2
% 109.63/58.53 | (804) all_0_27_27 = e4
% 109.63/58.53 | (473) ~ (all_0_25_25 = e2)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (808,804) yields a new equation:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1320) yields:
% 109.63/58.53 | (969) all_0_15_15 = e1
% 109.63/58.53 | (1322) all_0_33_33 = e4
% 109.63/58.53 | (458) ~ (all_0_18_18 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (1322,1360) yields a new equation:
% 109.63/58.53 | (596) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 596 yields:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1326) yields:
% 109.63/58.53 | (969) all_0_15_15 = e1
% 109.63/58.53 | (1322) all_0_33_33 = e4
% 109.63/58.53 | (417) ~ (all_0_30_30 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (1322,1360) yields a new equation:
% 109.63/58.53 | (596) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 596 yields:
% 109.63/58.53 | (597) e4 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (597) can reduce 255 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Applying alpha-rule on (1332) yields:
% 109.63/58.53 | (736) all_0_15_15 = e0
% 109.63/58.53 | (697) all_0_39_39 = e4
% 109.63/58.53 | (460) ~ (all_0_19_19 = e4)
% 109.63/58.53 |
% 109.63/58.53 | Equations (736) can reduce 90 to:
% 109.63/58.53 | (10459) ~ (all_0_18_18 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 10459 yields:
% 109.63/58.53 | (1141) ~ (all_0_18_18 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Equations (736) can reduce 39 to:
% 109.63/58.53 | (752) ~ (all_0_35_35 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 752 yields:
% 109.63/58.53 | (536) ~ (all_0_35_35 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Equations (736) can reduce 572 to:
% 109.63/58.53 | (665) ~ (e3 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 665 yields:
% 109.63/58.53 | (80) ~ (e3 = e0)
% 109.63/58.53 |
% 109.63/58.53 | Equations (697) can reduce 291 to:
% 109.63/58.53 | (603) ~ (all_0_29_29 = e4)
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (262), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (829) all_0_19_19 = e1
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (829,1159) yields a new equation:
% 109.63/58.53 | (928) e3 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (928) can reduce 298 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (943) ~ (all_0_19_19 = e1)
% 109.63/58.53 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (944), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (8658) all_0_24_24 = e1
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (488,8658) yields a new equation:
% 109.63/58.53 | (531) e1 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (531) can reduce 40 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (432) ~ (all_0_24_24 = e1)
% 109.63/58.53 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (8663), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (4599) all_0_29_29 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (4599) can reduce 7 to:
% 109.63/58.53 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Equations (4599) can reduce 603 to:
% 109.63/58.53 | (764) ~ (e4 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 764 yields:
% 109.63/58.53 | (56) ~ (e4 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Equations (4599) can reduce 493 to:
% 109.63/58.53 | (40) ~ (e1 = e0)
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (114), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (969) all_0_15_15 = e1
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (969,736) yields a new equation:
% 109.63/58.53 | (530) e1 = e0
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 530 yields:
% 109.63/58.53 | (531) e1 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (531) can reduce 40 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (679) ~ (all_0_15_15 = e1)
% 109.63/58.53 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1402), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1490) all_0_20_20 = e1
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (1490,500) yields a new equation:
% 109.63/58.53 | (838) e4 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (838) can reduce 56 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (429) ~ (all_0_20_20 = e1)
% 109.63/58.53 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1494), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1495) all_0_25_25 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (1495) can reduce 1519 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.53 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1520), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1521) all_0_30_30 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (1521) can reduce 417 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (417) ~ (all_0_30_30 = e1)
% 109.63/58.53 | (761) all_0_35_35 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (761) can reduce 194 to:
% 109.63/58.53 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.53 |
% 109.63/58.53 | Equations (761) can reduce 536 to:
% 109.63/58.53 | (40) ~ (e1 = e0)
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (340), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (756) all_0_18_18 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (756) can reduce 1141 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1141) ~ (all_0_18_18 = e0)
% 109.63/58.53 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1142), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (4698) all_0_23_23 = e0
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (427,4698) yields a new equation:
% 109.63/58.53 | (530) e1 = e0
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 530 yields:
% 109.63/58.53 | (531) e1 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (531) can reduce 40 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (4702) ~ (all_0_23_23 = e0)
% 109.63/58.53 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (4703), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1125) all_0_28_28 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (1125) can reduce 185 to:
% 109.63/58.53 | (1054) ~ (all_0_25_25 = e0)
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (237), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (590) all_0_25_25 = e4
% 109.63/58.53 |
% 109.63/58.53 | Equations (590) can reduce 505 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (505) ~ (all_0_25_25 = e4)
% 109.63/58.53 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (593), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1698) all_0_25_25 = e3
% 109.63/58.53 |
% 109.63/58.53 | Equations (1698) can reduce 577 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (577) ~ (all_0_25_25 = e3)
% 109.63/58.53 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1701), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1536) all_0_25_25 = e2
% 109.63/58.53 |
% 109.63/58.53 | Equations (1536) can reduce 473 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (473) ~ (all_0_25_25 = e2)
% 109.63/58.53 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (1705), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1495) all_0_25_25 = e1
% 109.63/58.53 |
% 109.63/58.53 | Equations (1495) can reduce 1519 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.53 | (749) all_0_25_25 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (749) can reduce 1054 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (758) ~ (all_0_28_28 = e0)
% 109.63/58.53 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.63/58.53 |
% 109.63/58.53 +-Applying beta-rule and splitting (4707), into two cases.
% 109.63/58.53 |-Branch one:
% 109.63/58.53 | (1463) all_0_33_33 = e0
% 109.63/58.53 |
% 109.63/58.53 | Combining equations (1360,1463) yields a new equation:
% 109.63/58.53 | (647) e3 = e0
% 109.63/58.53 |
% 109.63/58.53 | Simplifying 647 yields:
% 109.63/58.53 | (648) e3 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (648) can reduce 80 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.53 |-Branch two:
% 109.63/58.53 | (2612) ~ (all_0_33_33 = e0)
% 109.63/58.53 | (3225) all_0_38_38 = e0
% 109.63/58.53 |
% 109.63/58.53 | Equations (3225) can reduce 540 to:
% 109.63/58.53 | (400) $false
% 109.63/58.53 |
% 109.63/58.53 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (2946) ~ (all_0_29_29 = e1)
% 109.63/58.54 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (11125), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (4342) all_0_34_34 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (4342) can reduce 421 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (421) ~ (all_0_34_34 = e1)
% 109.63/58.54 | (1252) all_0_39_39 = e1
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (697,1252) yields a new equation:
% 109.63/58.54 | (975) e4 = e1
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 975 yields:
% 109.63/58.54 | (838) e4 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (838) can reduce 56 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Applying alpha-rule on (1339) yields:
% 109.63/58.54 | (736) all_0_15_15 = e0
% 109.63/58.54 | (697) all_0_39_39 = e4
% 109.63/58.54 | (536) ~ (all_0_35_35 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Equations (736) can reduce 90 to:
% 109.63/58.54 | (10459) ~ (all_0_18_18 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 10459 yields:
% 109.63/58.54 | (1141) ~ (all_0_18_18 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Equations (736) can reduce 39 to:
% 109.63/58.54 | (752) ~ (all_0_35_35 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 752 yields:
% 109.63/58.54 | (536) ~ (all_0_35_35 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Equations (736) can reduce 572 to:
% 109.63/58.54 | (665) ~ (e3 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 665 yields:
% 109.63/58.54 | (80) ~ (e3 = e0)
% 109.63/58.54 |
% 109.63/58.54 | Equations (697) can reduce 291 to:
% 109.63/58.54 | (603) ~ (all_0_29_29 = e4)
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (262), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (829) all_0_19_19 = e1
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (829,1159) yields a new equation:
% 109.63/58.54 | (928) e3 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (928) can reduce 298 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (943) ~ (all_0_19_19 = e1)
% 109.63/58.54 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (944), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (8658) all_0_24_24 = e1
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (488,8658) yields a new equation:
% 109.63/58.54 | (531) e1 = e0
% 109.63/58.54 |
% 109.63/58.54 | Equations (531) can reduce 40 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (432) ~ (all_0_24_24 = e1)
% 109.63/58.54 | (8663) all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (8663), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (4599) all_0_29_29 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (4599) can reduce 7 to:
% 109.63/58.54 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.54 |
% 109.63/58.54 | Equations (4599) can reduce 603 to:
% 109.63/58.54 | (764) ~ (e4 = e1)
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 764 yields:
% 109.63/58.54 | (56) ~ (e4 = e1)
% 109.63/58.54 |
% 109.63/58.54 | Equations (4599) can reduce 493 to:
% 109.63/58.54 | (40) ~ (e1 = e0)
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (114), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (969) all_0_15_15 = e1
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (969,736) yields a new equation:
% 109.63/58.54 | (530) e1 = e0
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 530 yields:
% 109.63/58.54 | (531) e1 = e0
% 109.63/58.54 |
% 109.63/58.54 | Equations (531) can reduce 40 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (679) ~ (all_0_15_15 = e1)
% 109.63/58.54 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (1402), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (1490) all_0_20_20 = e1
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (1490,500) yields a new equation:
% 109.63/58.54 | (838) e4 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (838) can reduce 56 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (429) ~ (all_0_20_20 = e1)
% 109.63/58.54 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (1494), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (1495) all_0_25_25 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (1495) can reduce 1519 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.54 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (1520), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (1521) all_0_30_30 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (1521) can reduce 417 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (417) ~ (all_0_30_30 = e1)
% 109.63/58.54 | (761) all_0_35_35 = e1
% 109.63/58.54 |
% 109.63/58.54 | Equations (761) can reduce 194 to:
% 109.63/58.54 | (1519) ~ (all_0_25_25 = e1)
% 109.63/58.54 |
% 109.63/58.54 | Equations (761) can reduce 536 to:
% 109.63/58.54 | (40) ~ (e1 = e0)
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (340), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (756) all_0_18_18 = e0
% 109.63/58.54 |
% 109.63/58.54 | Equations (756) can reduce 1141 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (1141) ~ (all_0_18_18 = e0)
% 109.63/58.54 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.63/58.54 |
% 109.63/58.54 +-Applying beta-rule and splitting (1142), into two cases.
% 109.63/58.54 |-Branch one:
% 109.63/58.54 | (4698) all_0_23_23 = e0
% 109.63/58.54 |
% 109.63/58.54 | Combining equations (427,4698) yields a new equation:
% 109.63/58.54 | (530) e1 = e0
% 109.63/58.54 |
% 109.63/58.54 | Simplifying 530 yields:
% 109.63/58.54 | (531) e1 = e0
% 109.63/58.54 |
% 109.63/58.54 | Equations (531) can reduce 40 to:
% 109.63/58.54 | (400) $false
% 109.63/58.54 |
% 109.63/58.54 |-The branch is then unsatisfiable
% 109.63/58.54 |-Branch two:
% 109.63/58.54 | (4702) ~ (all_0_23_23 = e0)
% 109.63/58.54 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.63/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (4703), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (1125) all_0_28_28 = e0
% 109.65/58.54 |
% 109.65/58.54 | Equations (1125) can reduce 185 to:
% 109.65/58.54 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (237), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (590) all_0_25_25 = e4
% 109.65/58.54 |
% 109.65/58.54 | Equations (590) can reduce 505 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (505) ~ (all_0_25_25 = e4)
% 109.65/58.54 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (593), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (1698) all_0_25_25 = e3
% 109.65/58.54 |
% 109.65/58.54 | Equations (1698) can reduce 577 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (577) ~ (all_0_25_25 = e3)
% 109.65/58.54 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (1701), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (1536) all_0_25_25 = e2
% 109.65/58.54 |
% 109.65/58.54 | Equations (1536) can reduce 473 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.54 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (1705), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (1495) all_0_25_25 = e1
% 109.65/58.54 |
% 109.65/58.54 | Equations (1495) can reduce 1519 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.54 | (749) all_0_25_25 = e0
% 109.65/58.54 |
% 109.65/58.54 | Equations (749) can reduce 1054 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.54 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.54 |
% 109.65/58.54 +-Applying beta-rule and splitting (4707), into two cases.
% 109.65/58.54 |-Branch one:
% 109.65/58.54 | (1463) all_0_33_33 = e0
% 109.65/58.54 |
% 109.65/58.54 | Combining equations (1360,1463) yields a new equation:
% 109.65/58.54 | (647) e3 = e0
% 109.65/58.54 |
% 109.65/58.54 | Simplifying 647 yields:
% 109.65/58.54 | (648) e3 = e0
% 109.65/58.54 |
% 109.65/58.54 | Equations (648) can reduce 80 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.54 |-Branch two:
% 109.65/58.54 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.54 | (3225) all_0_38_38 = e0
% 109.65/58.54 |
% 109.65/58.54 | Equations (3225) can reduce 540 to:
% 109.65/58.54 | (400) $false
% 109.65/58.54 |
% 109.65/58.54 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (2946) ~ (all_0_29_29 = e1)
% 109.65/58.55 | (11125) all_0_34_34 = e1 | all_0_39_39 = e1
% 109.65/58.55 |
% 109.65/58.55 +-Applying beta-rule and splitting (11125), into two cases.
% 109.65/58.55 |-Branch one:
% 109.65/58.55 | (4342) all_0_34_34 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (4342) can reduce 421 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (421) ~ (all_0_34_34 = e1)
% 109.65/58.55 | (1252) all_0_39_39 = e1
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (697,1252) yields a new equation:
% 109.65/58.55 | (975) e4 = e1
% 109.65/58.55 |
% 109.65/58.55 | Simplifying 975 yields:
% 109.65/58.55 | (838) e4 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (838) can reduce 56 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1346) yields:
% 109.65/58.55 | (1347) all_0_21_21 = e2
% 109.65/58.55 | (808) all_0_27_27 = e3
% 109.65/58.55 | (925) ~ (all_0_22_22 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1347,557) yields a new equation:
% 109.65/58.55 | (615) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Equations (615) can reduce 52 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1352) yields:
% 109.65/58.55 | (1347) all_0_21_21 = e2
% 109.65/58.55 | (808) all_0_27_27 = e3
% 109.65/58.55 | (1355) ~ (all_0_26_26 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1347,557) yields a new equation:
% 109.65/58.55 | (615) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Equations (615) can reduce 52 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1358) yields:
% 109.65/58.55 | (1359) all_0_21_21 = e1
% 109.65/58.55 | (1360) all_0_33_33 = e3
% 109.65/58.55 | (1361) ~ (all_0_23_23 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1359,557) yields a new equation:
% 109.65/58.55 | (928) e3 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (928) can reduce 298 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1367) yields:
% 109.65/58.55 | (1359) all_0_21_21 = e1
% 109.65/58.55 | (1360) all_0_33_33 = e3
% 109.65/58.55 | (1370) ~ (all_0_31_31 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1359,557) yields a new equation:
% 109.65/58.55 | (928) e3 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (928) can reduce 298 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1376) yields:
% 109.65/58.55 | (519) all_0_21_21 = e0
% 109.65/58.55 | (701) all_0_39_39 = e3
% 109.65/58.55 | (1379) ~ (all_0_24_24 = e3)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (519,557) yields a new equation:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1385) yields:
% 109.65/58.55 | (519) all_0_21_21 = e0
% 109.65/58.55 | (701) all_0_39_39 = e3
% 109.65/58.55 | (1388) ~ (all_0_36_36 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (519,557) yields a new equation:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1394) yields:
% 109.65/58.55 | (816) all_0_27_27 = e1
% 109.65/58.55 | (637) all_0_33_33 = e2
% 109.65/58.55 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (816,808) yields a new equation:
% 109.65/58.55 | (928) e3 = e1
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1360,637) yields a new equation:
% 109.65/58.55 | (614) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Simplifying 614 yields:
% 109.65/58.55 | (615) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (928,615) yields a new equation:
% 109.65/58.55 | (621) e2 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (621) can reduce 310 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1421) yields:
% 109.65/58.55 | (816) all_0_27_27 = e1
% 109.65/58.55 | (637) all_0_33_33 = e2
% 109.65/58.55 | (419) ~ (all_0_32_32 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (816,808) yields a new equation:
% 109.65/58.55 | (928) e3 = e1
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1360,637) yields a new equation:
% 109.65/58.55 | (614) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Simplifying 614 yields:
% 109.65/58.55 | (615) e3 = e2
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (928,615) yields a new equation:
% 109.65/58.55 | (621) e2 = e1
% 109.65/58.55 |
% 109.65/58.55 | Equations (621) can reduce 310 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1448) yields:
% 109.65/58.55 | (995) all_0_27_27 = e0
% 109.65/58.55 | (705) all_0_39_39 = e2
% 109.65/58.55 | (479) ~ (all_0_29_29 = e2)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (995,808) yields a new equation:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1455) yields:
% 109.65/58.55 | (995) all_0_27_27 = e0
% 109.65/58.55 | (705) all_0_39_39 = e2
% 109.65/58.55 | (538) ~ (all_0_37_37 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (995,808) yields a new equation:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1462) yields:
% 109.65/58.55 | (1463) all_0_33_33 = e0
% 109.65/58.55 | (1252) all_0_39_39 = e1
% 109.65/58.55 | (421) ~ (all_0_34_34 = e1)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1360,1463) yields a new equation:
% 109.65/58.55 | (647) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Simplifying 647 yields:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.55 |-Branch two:
% 109.65/58.55 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Applying alpha-rule on (1469) yields:
% 109.65/58.55 | (1463) all_0_33_33 = e0
% 109.65/58.55 | (1252) all_0_39_39 = e1
% 109.65/58.55 | (540) ~ (all_0_38_38 = e0)
% 109.65/58.55 |
% 109.65/58.55 | Combining equations (1360,1463) yields a new equation:
% 109.65/58.55 | (647) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Simplifying 647 yields:
% 109.65/58.55 | (648) e3 = e0
% 109.65/58.55 |
% 109.65/58.55 | Equations (648) can reduce 80 to:
% 109.65/58.55 | (400) $false
% 109.65/58.55 |
% 109.65/58.55 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24050) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 42 to:
% 109.65/58.56 | (24051) ~ (all_0_25_25 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Simplifying 24051 yields:
% 109.65/58.56 | (577) ~ (all_0_25_25 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 3 to:
% 109.65/58.56 | (19172) ~ (all_0_30_30 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Simplifying 19172 yields:
% 109.65/58.56 | (1800) ~ (all_0_30_30 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 39 to:
% 109.65/58.56 | (584) ~ (all_0_35_35 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Simplifying 584 yields:
% 109.65/58.56 | (585) ~ (all_0_35_35 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 501 to:
% 109.65/58.56 | (558) ~ (e4 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Simplifying 558 yields:
% 109.65/58.56 | (255) ~ (e4 = e3)
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (103), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (572) ~ (all_0_15_15 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 572 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24062) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (318), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (572) ~ (all_0_15_15 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 572 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24066) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (143), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (572) ~ (all_0_15_15 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 572 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24070) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e0))
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (73), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (572) ~ (all_0_15_15 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 572 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24074) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e1) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e2))
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (27), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (572) ~ (all_0_15_15 = e3)
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 572 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (1297) all_0_15_15 = e3
% 109.65/58.56 | (24078) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (92), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (736) all_0_15_15 = e0
% 109.65/58.56 |
% 109.65/58.56 | Combining equations (736,1297) yields a new equation:
% 109.65/58.56 | (648) e3 = e0
% 109.65/58.56 |
% 109.65/58.56 | Equations (648) can reduce 80 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (739) ~ (all_0_15_15 = e0)
% 109.65/58.56 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.65/58.56 |
% 109.65/58.56 | Equations (1297) can reduce 739 to:
% 109.65/58.56 | (80) ~ (e3 = e0)
% 109.65/58.56 |
% 109.65/58.56 +-Applying beta-rule and splitting (254), into two cases.
% 109.65/58.56 |-Branch one:
% 109.65/58.56 | (728) all_0_35_35 = e3
% 109.65/58.56 |
% 109.65/58.56 | Equations (728) can reduce 585 to:
% 109.65/58.56 | (400) $false
% 109.65/58.56 |
% 109.65/58.56 |-The branch is then unsatisfiable
% 109.65/58.56 |-Branch two:
% 109.65/58.56 | (585) ~ (all_0_35_35 = e3)
% 109.65/58.56 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 109.65/58.56 |
% 109.65/58.57 +-Applying beta-rule and splitting (123), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (736) all_0_15_15 = e0
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (736,1297) yields a new equation:
% 109.65/58.57 | (648) e3 = e0
% 109.65/58.57 |
% 109.65/58.57 | Equations (648) can reduce 80 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (739) ~ (all_0_15_15 = e0)
% 109.65/58.57 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.65/58.57 |
% 109.65/58.57 | Equations (1297) can reduce 739 to:
% 109.65/58.57 | (80) ~ (e3 = e0)
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (57), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1698) all_0_25_25 = e3
% 109.65/58.57 |
% 109.65/58.57 | Equations (1698) can reduce 577 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (577) ~ (all_0_25_25 = e3)
% 109.65/58.57 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (297), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (595) all_0_30_30 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (595) can reduce 507 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (507) ~ (all_0_30_30 = e4)
% 109.65/58.57 | (600) all_0_31_31 = e4 | all_0_32_32 = e4 | all_0_33_33 = e4 | all_0_34_34 = e4
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (114), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (969) all_0_15_15 = e1
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (969,1297) yields a new equation:
% 109.65/58.57 | (928) e3 = e1
% 109.65/58.57 |
% 109.65/58.57 | Equations (928) can reduce 298 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (679) ~ (all_0_15_15 = e1)
% 109.65/58.57 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.65/58.57 |
% 109.65/58.57 | Equations (1297) can reduce 679 to:
% 109.65/58.57 | (298) ~ (e3 = e1)
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (179), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (711) all_0_15_15 = e2
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (711,1297) yields a new equation:
% 109.65/58.57 | (615) e3 = e2
% 109.65/58.57 |
% 109.65/58.57 | Equations (615) can reduce 52 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (769) ~ (all_0_15_15 = e2)
% 109.65/58.57 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (240), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (575) all_0_30_30 = e3
% 109.65/58.57 |
% 109.65/58.57 | Equations (575) can reduce 1800 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (1800) ~ (all_0_30_30 = e3)
% 109.65/58.57 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (71), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (595) all_0_30_30 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (595) can reduce 507 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (507) ~ (all_0_30_30 = e4)
% 109.65/58.57 | (6692) all_0_30_30 = e3 | all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (55), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (590) all_0_25_25 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (590) can reduce 505 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (505) ~ (all_0_25_25 = e4)
% 109.65/58.57 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (128), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (724) all_0_35_35 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (724) can reduce 509 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (509) ~ (all_0_35_35 = e4)
% 109.65/58.57 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (305), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (969) all_0_15_15 = e1
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (969,1297) yields a new equation:
% 109.65/58.57 | (928) e3 = e1
% 109.65/58.57 |
% 109.65/58.57 | Equations (928) can reduce 298 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (679) ~ (all_0_15_15 = e1)
% 109.65/58.57 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.65/58.57 |
% 109.65/58.57 | Equations (1297) can reduce 679 to:
% 109.65/58.57 | (298) ~ (e3 = e1)
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (248), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (724) all_0_35_35 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (724) can reduce 509 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (509) ~ (all_0_35_35 = e4)
% 109.65/58.57 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (237), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (590) all_0_25_25 = e4
% 109.65/58.57 |
% 109.65/58.57 | Equations (590) can reduce 505 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (505) ~ (all_0_25_25 = e4)
% 109.65/58.57 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (304), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (646) all_0_30_30 = e0
% 109.65/58.57 |
% 109.65/58.57 | Equations (646) can reduce 62 to:
% 109.65/58.57 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.57 |
% 109.65/58.57 | Equations (646) can reduce 150 to:
% 109.65/58.57 | (9509) ~ (all_0_33_33 = e0)
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 9509 yields:
% 109.65/58.57 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.57 |
% 109.65/58.57 | Equations (646) can reduce 1800 to:
% 109.65/58.57 | (665) ~ (e3 = e0)
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 665 yields:
% 109.65/58.57 | (80) ~ (e3 = e0)
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1529), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1530) all_0_20_20 = e2
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (1530,500) yields a new equation:
% 109.65/58.57 | (798) e4 = e2
% 109.65/58.57 |
% 109.65/58.57 | Equations (798) can reduce 21 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (444) ~ (all_0_20_20 = e2)
% 109.65/58.57 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (593), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1698) all_0_25_25 = e3
% 109.65/58.57 |
% 109.65/58.57 | Equations (1698) can reduce 577 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (577) ~ (all_0_25_25 = e3)
% 109.65/58.57 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1535), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1536) all_0_25_25 = e2
% 109.65/58.57 |
% 109.65/58.57 | Equations (1536) can reduce 473 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.57 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1539), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (613) all_0_30_30 = e2
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (613,646) yields a new equation:
% 109.65/58.57 | (524) e2 = e0
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 524 yields:
% 109.65/58.57 | (525) e2 = e0
% 109.65/58.57 |
% 109.65/58.57 | Equations (525) can reduce 336 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (617) ~ (all_0_30_30 = e2)
% 109.65/58.57 | (732) all_0_35_35 = e2
% 109.65/58.57 |
% 109.65/58.57 | Equations (732) can reduce 194 to:
% 109.65/58.57 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.57 |
% 109.65/58.57 | Equations (732) can reduce 63 to:
% 109.65/58.57 | (2579) ~ (all_0_39_39 = e2)
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 2579 yields:
% 109.65/58.57 | (1250) ~ (all_0_39_39 = e2)
% 109.65/58.57 |
% 109.65/58.57 | Equations (732) can reduce 585 to:
% 109.65/58.57 | (643) ~ (e3 = e2)
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 643 yields:
% 109.65/58.57 | (52) ~ (e3 = e2)
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (251), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1278), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1279), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1280), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1281), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1282), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1283), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1284), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1285), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1286), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1287), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1288), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1289), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1290), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1291), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1292), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1293), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1294), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.65/58.57 |
% 109.65/58.57 +-Applying beta-rule and splitting (1295), into two cases.
% 109.65/58.57 |-Branch one:
% 109.65/58.57 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.65/58.57 |
% 109.65/58.57 | Applying alpha-rule on (1296) yields:
% 109.65/58.57 | (1297) all_0_15_15 = e3
% 109.65/58.57 | (550) all_0_21_21 = e4
% 109.65/58.57 | (1299) ~ (all_0_16_16 = e4)
% 109.65/58.57 |
% 109.65/58.57 | Combining equations (550,557) yields a new equation:
% 109.65/58.57 | (596) e4 = e3
% 109.65/58.57 |
% 109.65/58.57 | Simplifying 596 yields:
% 109.65/58.57 | (597) e4 = e3
% 109.65/58.57 |
% 109.65/58.57 | Equations (597) can reduce 255 to:
% 109.65/58.57 | (400) $false
% 109.65/58.57 |
% 109.65/58.57 |-The branch is then unsatisfiable
% 109.65/58.57 |-Branch two:
% 109.65/58.57 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.65/58.57 |
% 109.65/58.57 | Applying alpha-rule on (1303) yields:
% 109.65/58.57 | (1297) all_0_15_15 = e3
% 109.65/58.57 | (550) all_0_21_21 = e4
% 109.65/58.58 | (1306) ~ (all_0_20_20 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (550,557) yields a new equation:
% 109.65/58.58 | (596) e4 = e3
% 109.65/58.58 |
% 109.65/58.58 | Simplifying 596 yields:
% 109.65/58.58 | (597) e4 = e3
% 109.65/58.58 |
% 109.65/58.58 | Equations (597) can reduce 255 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1310) yields:
% 109.65/58.58 | (711) all_0_15_15 = e2
% 109.65/58.58 | (804) all_0_27_27 = e4
% 109.65/58.58 | (456) ~ (all_0_17_17 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (711,1297) yields a new equation:
% 109.65/58.58 | (615) e3 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (615) can reduce 52 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1315) yields:
% 109.65/58.58 | (711) all_0_15_15 = e2
% 109.65/58.58 | (804) all_0_27_27 = e4
% 109.65/58.58 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (711,1297) yields a new equation:
% 109.65/58.58 | (615) e3 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (615) can reduce 52 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1320) yields:
% 109.65/58.58 | (969) all_0_15_15 = e1
% 109.65/58.58 | (1322) all_0_33_33 = e4
% 109.65/58.58 | (458) ~ (all_0_18_18 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (969,1297) yields a new equation:
% 109.65/58.58 | (928) e3 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (928) can reduce 298 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1326) yields:
% 109.65/58.58 | (969) all_0_15_15 = e1
% 109.65/58.58 | (1322) all_0_33_33 = e4
% 109.65/58.58 | (417) ~ (all_0_30_30 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (969,1297) yields a new equation:
% 109.65/58.58 | (928) e3 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (928) can reduce 298 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1332) yields:
% 109.65/58.58 | (736) all_0_15_15 = e0
% 109.65/58.58 | (697) all_0_39_39 = e4
% 109.65/58.58 | (460) ~ (all_0_19_19 = e4)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (736,1297) yields a new equation:
% 109.65/58.58 | (648) e3 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (648) can reduce 80 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1339) yields:
% 109.65/58.58 | (736) all_0_15_15 = e0
% 109.65/58.58 | (697) all_0_39_39 = e4
% 109.65/58.58 | (536) ~ (all_0_35_35 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (736,1297) yields a new equation:
% 109.65/58.58 | (648) e3 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (648) can reduce 80 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1346) yields:
% 109.65/58.58 | (1347) all_0_21_21 = e2
% 109.65/58.58 | (808) all_0_27_27 = e3
% 109.65/58.58 | (925) ~ (all_0_22_22 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (1347,557) yields a new equation:
% 109.65/58.58 | (615) e3 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (615) can reduce 52 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1352) yields:
% 109.65/58.58 | (1347) all_0_21_21 = e2
% 109.65/58.58 | (808) all_0_27_27 = e3
% 109.65/58.58 | (1355) ~ (all_0_26_26 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (1347,557) yields a new equation:
% 109.65/58.58 | (615) e3 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (615) can reduce 52 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1358) yields:
% 109.65/58.58 | (1359) all_0_21_21 = e1
% 109.65/58.58 | (1360) all_0_33_33 = e3
% 109.65/58.58 | (1361) ~ (all_0_23_23 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (1359,557) yields a new equation:
% 109.65/58.58 | (928) e3 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (928) can reduce 298 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1367) yields:
% 109.65/58.58 | (1359) all_0_21_21 = e1
% 109.65/58.58 | (1360) all_0_33_33 = e3
% 109.65/58.58 | (1370) ~ (all_0_31_31 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (1359,557) yields a new equation:
% 109.65/58.58 | (928) e3 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (928) can reduce 298 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1376) yields:
% 109.65/58.58 | (519) all_0_21_21 = e0
% 109.65/58.58 | (701) all_0_39_39 = e3
% 109.65/58.58 | (1379) ~ (all_0_24_24 = e3)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (519,557) yields a new equation:
% 109.65/58.58 | (648) e3 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (648) can reduce 80 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1385) yields:
% 109.65/58.58 | (519) all_0_21_21 = e0
% 109.65/58.58 | (701) all_0_39_39 = e3
% 109.65/58.58 | (1388) ~ (all_0_36_36 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Combining equations (519,557) yields a new equation:
% 109.65/58.58 | (648) e3 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (648) can reduce 80 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1394) yields:
% 109.65/58.58 | (816) all_0_27_27 = e1
% 109.65/58.58 | (637) all_0_33_33 = e2
% 109.65/58.58 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Equations (816) can reduce 122 to:
% 109.65/58.58 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (1701), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (1536) all_0_25_25 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (1536) can reduce 473 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.58 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (1705), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (1495) all_0_25_25 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (1495) can reduce 1519 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.58 | (749) all_0_25_25 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (749) can reduce 1054 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1421) yields:
% 109.65/58.58 | (816) all_0_27_27 = e1
% 109.65/58.58 | (637) all_0_33_33 = e2
% 109.65/58.58 | (419) ~ (all_0_32_32 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Equations (816) can reduce 122 to:
% 109.65/58.58 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (1701), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (1536) all_0_25_25 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (1536) can reduce 473 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.58 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (1705), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (1495) all_0_25_25 = e1
% 109.65/58.58 |
% 109.65/58.58 | Equations (1495) can reduce 1519 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.58 | (749) all_0_25_25 = e0
% 109.65/58.58 |
% 109.65/58.58 | Equations (749) can reduce 1054 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1448) yields:
% 109.65/58.58 | (995) all_0_27_27 = e0
% 109.65/58.58 | (705) all_0_39_39 = e2
% 109.65/58.58 | (479) ~ (all_0_29_29 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Equations (705) can reduce 1250 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1455) yields:
% 109.65/58.58 | (995) all_0_27_27 = e0
% 109.65/58.58 | (705) all_0_39_39 = e2
% 109.65/58.58 | (538) ~ (all_0_37_37 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Equations (705) can reduce 1250 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1462) yields:
% 109.65/58.58 | (1463) all_0_33_33 = e0
% 109.65/58.58 | (1252) all_0_39_39 = e1
% 109.65/58.58 | (421) ~ (all_0_34_34 = e1)
% 109.65/58.58 |
% 109.65/58.58 | Equations (1463) can reduce 2612 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Applying alpha-rule on (1469) yields:
% 109.65/58.58 | (1463) all_0_33_33 = e0
% 109.65/58.58 | (1252) all_0_39_39 = e1
% 109.65/58.58 | (540) ~ (all_0_38_38 = e0)
% 109.65/58.58 |
% 109.65/58.58 | Equations (1463) can reduce 2612 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (650) ~ (all_0_30_30 = e0)
% 109.65/58.58 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (6692), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (575) all_0_30_30 = e3
% 109.65/58.58 |
% 109.65/58.58 | Equations (575) can reduce 1800 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (1800) ~ (all_0_30_30 = e3)
% 109.65/58.58 | (11175) all_0_30_30 = e2 | all_0_30_30 = e1 | all_0_30_30 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (11175), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (613) all_0_30_30 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (613) can reduce 150 to:
% 109.65/58.58 | (6746) ~ (all_0_33_33 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Simplifying 6746 yields:
% 109.65/58.58 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Equations (613) can reduce 15 to:
% 109.65/58.58 | (718) ~ (all_0_35_35 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Simplifying 718 yields:
% 109.65/58.58 | (719) ~ (all_0_35_35 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Equations (613) can reduce 1800 to:
% 109.65/58.58 | (643) ~ (e3 = e2)
% 109.65/58.58 |
% 109.65/58.58 | Simplifying 643 yields:
% 109.65/58.58 | (52) ~ (e3 = e2)
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (727), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (728) all_0_35_35 = e3
% 109.65/58.58 |
% 109.65/58.58 | Equations (728) can reduce 585 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (585) ~ (all_0_35_35 = e3)
% 109.65/58.58 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (731), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (732) all_0_35_35 = e2
% 109.65/58.58 |
% 109.65/58.58 | Equations (732) can reduce 719 to:
% 109.65/58.58 | (400) $false
% 109.65/58.58 |
% 109.65/58.58 |-The branch is then unsatisfiable
% 109.65/58.58 |-Branch two:
% 109.65/58.58 | (719) ~ (all_0_35_35 = e2)
% 109.65/58.58 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 109.65/58.58 |
% 109.65/58.58 +-Applying beta-rule and splitting (735), into two cases.
% 109.65/58.58 |-Branch one:
% 109.65/58.58 | (761) all_0_35_35 = e1
% 109.65/58.58 |
% 109.65/58.59 | Equations (761) can reduce 194 to:
% 109.65/58.59 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Equations (761) can reduce 63 to:
% 109.65/58.59 | (12123) ~ (all_0_39_39 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Simplifying 12123 yields:
% 109.65/58.59 | (696) ~ (all_0_39_39 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Equations (761) can reduce 509 to:
% 109.65/58.59 | (764) ~ (e4 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Simplifying 764 yields:
% 109.65/58.59 | (56) ~ (e4 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Equations (761) can reduce 585 to:
% 109.65/58.59 | (824) ~ (e3 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Simplifying 824 yields:
% 109.65/58.59 | (298) ~ (e3 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Equations (761) can reduce 536 to:
% 109.65/58.59 | (40) ~ (e1 = e0)
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (740), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (742) all_0_20_20 = e0
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (742,500) yields a new equation:
% 109.65/58.59 | (515) e4 = e0
% 109.65/58.59 |
% 109.65/58.59 | Equations (515) can reduce 267 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (490) ~ (all_0_20_20 = e0)
% 109.65/58.59 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (251), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1278), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1279), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1280), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1281), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1282), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1283), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1284), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1285), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1286), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1287), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1288), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1289), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1290), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1291), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1292), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1293), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1294), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.65/58.59 |
% 109.65/58.59 +-Applying beta-rule and splitting (1295), into two cases.
% 109.65/58.59 |-Branch one:
% 109.65/58.59 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1296) yields:
% 109.65/58.59 | (1297) all_0_15_15 = e3
% 109.65/58.59 | (550) all_0_21_21 = e4
% 109.65/58.59 | (1299) ~ (all_0_16_16 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (550,557) yields a new equation:
% 109.65/58.59 | (596) e4 = e3
% 109.65/58.59 |
% 109.65/58.59 | Simplifying 596 yields:
% 109.65/58.59 | (597) e4 = e3
% 109.65/58.59 |
% 109.65/58.59 | Equations (597) can reduce 255 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1303) yields:
% 109.65/58.59 | (1297) all_0_15_15 = e3
% 109.65/58.59 | (550) all_0_21_21 = e4
% 109.65/58.59 | (1306) ~ (all_0_20_20 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (550,557) yields a new equation:
% 109.65/58.59 | (596) e4 = e3
% 109.65/58.59 |
% 109.65/58.59 | Simplifying 596 yields:
% 109.65/58.59 | (597) e4 = e3
% 109.65/58.59 |
% 109.65/58.59 | Equations (597) can reduce 255 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1310) yields:
% 109.65/58.59 | (711) all_0_15_15 = e2
% 109.65/58.59 | (804) all_0_27_27 = e4
% 109.65/58.59 | (456) ~ (all_0_17_17 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (711,1297) yields a new equation:
% 109.65/58.59 | (615) e3 = e2
% 109.65/58.59 |
% 109.65/58.59 | Equations (615) can reduce 52 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1315) yields:
% 109.65/58.59 | (711) all_0_15_15 = e2
% 109.65/58.59 | (804) all_0_27_27 = e4
% 109.65/58.59 | (473) ~ (all_0_25_25 = e2)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (711,1297) yields a new equation:
% 109.65/58.59 | (615) e3 = e2
% 109.65/58.59 |
% 109.65/58.59 | Equations (615) can reduce 52 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1320) yields:
% 109.65/58.59 | (969) all_0_15_15 = e1
% 109.65/58.59 | (1322) all_0_33_33 = e4
% 109.65/58.59 | (458) ~ (all_0_18_18 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (969,1297) yields a new equation:
% 109.65/58.59 | (928) e3 = e1
% 109.65/58.59 |
% 109.65/58.59 | Equations (928) can reduce 298 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1326) yields:
% 109.65/58.59 | (969) all_0_15_15 = e1
% 109.65/58.59 | (1322) all_0_33_33 = e4
% 109.65/58.59 | (417) ~ (all_0_30_30 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (969,1297) yields a new equation:
% 109.65/58.59 | (928) e3 = e1
% 109.65/58.59 |
% 109.65/58.59 | Equations (928) can reduce 298 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1332) yields:
% 109.65/58.59 | (736) all_0_15_15 = e0
% 109.65/58.59 | (697) all_0_39_39 = e4
% 109.65/58.59 | (460) ~ (all_0_19_19 = e4)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (736,1297) yields a new equation:
% 109.65/58.59 | (648) e3 = e0
% 109.65/58.59 |
% 109.65/58.59 | Equations (648) can reduce 80 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1339) yields:
% 109.65/58.59 | (736) all_0_15_15 = e0
% 109.65/58.59 | (697) all_0_39_39 = e4
% 109.65/58.59 | (536) ~ (all_0_35_35 = e0)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (736,1297) yields a new equation:
% 109.65/58.59 | (648) e3 = e0
% 109.65/58.59 |
% 109.65/58.59 | Equations (648) can reduce 80 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1346) yields:
% 109.65/58.59 | (1347) all_0_21_21 = e2
% 109.65/58.59 | (808) all_0_27_27 = e3
% 109.65/58.59 | (925) ~ (all_0_22_22 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (1347,557) yields a new equation:
% 109.65/58.59 | (615) e3 = e2
% 109.65/58.59 |
% 109.65/58.59 | Equations (615) can reduce 52 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1352) yields:
% 109.65/58.59 | (1347) all_0_21_21 = e2
% 109.65/58.59 | (808) all_0_27_27 = e3
% 109.65/58.59 | (1355) ~ (all_0_26_26 = e2)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (1347,557) yields a new equation:
% 109.65/58.59 | (615) e3 = e2
% 109.65/58.59 |
% 109.65/58.59 | Equations (615) can reduce 52 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1358) yields:
% 109.65/58.59 | (1359) all_0_21_21 = e1
% 109.65/58.59 | (1360) all_0_33_33 = e3
% 109.65/58.59 | (1361) ~ (all_0_23_23 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (1359,557) yields a new equation:
% 109.65/58.59 | (928) e3 = e1
% 109.65/58.59 |
% 109.65/58.59 | Equations (928) can reduce 298 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1367) yields:
% 109.65/58.59 | (1359) all_0_21_21 = e1
% 109.65/58.59 | (1360) all_0_33_33 = e3
% 109.65/58.59 | (1370) ~ (all_0_31_31 = e1)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (1359,557) yields a new equation:
% 109.65/58.59 | (928) e3 = e1
% 109.65/58.59 |
% 109.65/58.59 | Equations (928) can reduce 298 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.59 |-Branch two:
% 109.65/58.59 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Applying alpha-rule on (1376) yields:
% 109.65/58.59 | (519) all_0_21_21 = e0
% 109.65/58.59 | (701) all_0_39_39 = e3
% 109.65/58.59 | (1379) ~ (all_0_24_24 = e3)
% 109.65/58.59 |
% 109.65/58.59 | Combining equations (519,557) yields a new equation:
% 109.65/58.59 | (648) e3 = e0
% 109.65/58.59 |
% 109.65/58.59 | Equations (648) can reduce 80 to:
% 109.65/58.59 | (400) $false
% 109.65/58.59 |
% 109.65/58.59 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Applying alpha-rule on (1385) yields:
% 109.65/58.60 | (519) all_0_21_21 = e0
% 109.65/58.60 | (701) all_0_39_39 = e3
% 109.65/58.60 | (1388) ~ (all_0_36_36 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (519,557) yields a new equation:
% 109.65/58.60 | (648) e3 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (648) can reduce 80 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Applying alpha-rule on (1394) yields:
% 109.65/58.60 | (816) all_0_27_27 = e1
% 109.65/58.60 | (637) all_0_33_33 = e2
% 109.65/58.60 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Equations (637) can reduce 671 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.65/58.60 |
% 109.65/58.60 | Applying alpha-rule on (1421) yields:
% 109.65/58.60 | (816) all_0_27_27 = e1
% 109.65/58.60 | (637) all_0_33_33 = e2
% 109.65/58.60 | (419) ~ (all_0_32_32 = e1)
% 109.65/58.60 |
% 109.65/58.60 | Equations (637) can reduce 671 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Applying alpha-rule on (1448) yields:
% 109.65/58.60 | (995) all_0_27_27 = e0
% 109.65/58.60 | (705) all_0_39_39 = e2
% 109.65/58.60 | (479) ~ (all_0_29_29 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Equations (995) can reduce 226 to:
% 109.65/58.60 | (659) ~ (all_0_17_17 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Equations (995) can reduce 122 to:
% 109.65/58.60 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Equations (995) can reduce 337 to:
% 109.65/58.60 | (757) ~ (all_0_28_28 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 757 yields:
% 109.65/58.60 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Equations (705) can reduce 231 to:
% 109.65/58.60 | (2728) ~ (all_0_38_38 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Equations (705) can reduce 696 to:
% 109.65/58.60 | (310) ~ (e2 = e1)
% 109.65/58.60 |
% 109.65/58.60 | Equations (705) can reduce 542 to:
% 109.65/58.60 | (336) ~ (e2 = e0)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (43), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1495) all_0_25_25 = e1
% 109.65/58.60 |
% 109.65/58.60 | Equations (1495) can reduce 1519 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.60 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (249), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (980) all_0_17_17 = e1
% 109.65/58.60 |
% 109.65/58.60 | Equations (980) can reduce 396 to:
% 109.65/58.60 | (766) ~ (e2 = e1)
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 766 yields:
% 109.65/58.60 | (310) ~ (e2 = e1)
% 109.65/58.60 |
% 109.65/58.60 | Equations (980) can reduce 659 to:
% 109.65/58.60 | (40) ~ (e1 = e0)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (4556), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (4559) all_0_26_26 = e1
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (471,4559) yields a new equation:
% 109.65/58.60 | (620) e2 = e1
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 620 yields:
% 109.65/58.60 | (621) e2 = e1
% 109.65/58.60 |
% 109.65/58.60 | Equations (621) can reduce 310 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (416) ~ (all_0_26_26 = e1)
% 109.65/58.60 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.60 |
% 109.65/58.60 | Equations (471) can reduce 416 to:
% 109.65/58.60 | (310) ~ (e2 = e1)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (54), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1191) all_0_18_18 = e2
% 109.65/58.60 |
% 109.65/58.60 | Equations (1191) can reduce 33 to:
% 109.65/58.60 | (6746) ~ (all_0_33_33 = e2)
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 6746 yields:
% 109.65/58.60 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (340), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (756) all_0_18_18 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (756,1191) yields a new equation:
% 109.65/58.60 | (525) e2 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (525) can reduce 336 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1141) ~ (all_0_18_18 = e0)
% 109.65/58.60 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (1142), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (4698) all_0_23_23 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (427,4698) yields a new equation:
% 109.65/58.60 | (530) e1 = e0
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 530 yields:
% 109.65/58.60 | (531) e1 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (531) can reduce 40 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (4702) ~ (all_0_23_23 = e0)
% 109.65/58.60 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (4703), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1125) all_0_28_28 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (1125) can reduce 758 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.60 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (4707), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1463) all_0_33_33 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (1463) can reduce 671 to:
% 109.65/58.60 | (496) ~ (e2 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 496 yields:
% 109.65/58.60 | (336) ~ (e2 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Equations (1463) can reduce 436 to:
% 109.65/58.60 | (498) ~ (e1 = e0)
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 498 yields:
% 109.65/58.60 | (40) ~ (e1 = e0)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (747), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (749) all_0_25_25 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (749) can reduce 1054 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.60 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (1201), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (646) all_0_30_30 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (646,613) yields a new equation:
% 109.65/58.60 | (525) e2 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (525) can reduce 336 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (650) ~ (all_0_30_30 = e0)
% 109.65/58.60 | (1139) all_0_35_35 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (1139,761) yields a new equation:
% 109.65/58.60 | (531) e1 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (531) can reduce 40 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.60 | (3225) all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (3225) can reduce 540 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (638) ~ (all_0_18_18 = e2)
% 109.65/58.60 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (3929), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (6267) all_0_23_23 = e2
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (427,6267) yields a new equation:
% 109.65/58.60 | (621) e2 = e1
% 109.65/58.60 |
% 109.65/58.60 | Equations (621) can reduce 310 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (6271) ~ (all_0_23_23 = e2)
% 109.65/58.60 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (6272), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1118) all_0_28_28 = e2
% 109.65/58.60 |
% 109.65/58.60 | Equations (1118) can reduce 477 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.60 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (6293), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (637) all_0_33_33 = e2
% 109.65/58.60 |
% 109.65/58.60 | Equations (637) can reduce 671 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.60 | (3218) all_0_38_38 = e2
% 109.65/58.60 |
% 109.65/58.60 | Equations (3218) can reduce 2728 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (817) ~ (all_0_17_17 = e1)
% 109.65/58.60 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (54), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (1191) all_0_18_18 = e2
% 109.65/58.60 |
% 109.65/58.60 | Equations (1191) can reduce 428 to:
% 109.65/58.60 | (310) ~ (e2 = e1)
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (340), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (756) all_0_18_18 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (1191,756) yields a new equation:
% 109.65/58.60 | (524) e2 = e0
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 524 yields:
% 109.65/58.60 | (525) e2 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (525) can reduce 336 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (1141) ~ (all_0_18_18 = e0)
% 109.65/58.60 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (1142), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.60 | (4698) all_0_23_23 = e0
% 109.65/58.60 |
% 109.65/58.60 | Combining equations (427,4698) yields a new equation:
% 109.65/58.60 | (530) e1 = e0
% 109.65/58.60 |
% 109.65/58.60 | Simplifying 530 yields:
% 109.65/58.60 | (531) e1 = e0
% 109.65/58.60 |
% 109.65/58.60 | Equations (531) can reduce 40 to:
% 109.65/58.60 | (400) $false
% 109.65/58.60 |
% 109.65/58.60 |-The branch is then unsatisfiable
% 109.65/58.60 |-Branch two:
% 109.65/58.60 | (4702) ~ (all_0_23_23 = e0)
% 109.65/58.60 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.60 |
% 109.65/58.60 +-Applying beta-rule and splitting (4556), into two cases.
% 109.65/58.60 |-Branch one:
% 109.65/58.61 | (4559) all_0_26_26 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (471,4559) yields a new equation:
% 109.65/58.61 | (620) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 620 yields:
% 109.65/58.61 | (621) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (621) can reduce 310 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (416) ~ (all_0_26_26 = e1)
% 109.65/58.61 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (471) can reduce 416 to:
% 109.65/58.61 | (310) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (1085), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1094) all_0_22_22 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (442,1094) yields a new equation:
% 109.65/58.61 | (620) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 620 yields:
% 109.65/58.61 | (621) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (621) can reduce 310 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (1098) ~ (all_0_22_22 = e1)
% 109.65/58.61 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (442) can reduce 1098 to:
% 109.65/58.61 | (310) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (4703), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1125) all_0_28_28 = e0
% 109.65/58.61 |
% 109.65/58.61 | Equations (1125) can reduce 758 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.61 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (973), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (974) all_0_16_16 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (974,454) yields a new equation:
% 109.65/58.61 | (838) e4 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (838) can reduce 56 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (415) ~ (all_0_16_16 = e1)
% 109.65/58.61 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (4707), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1463) all_0_33_33 = e0
% 109.65/58.61 |
% 109.65/58.61 | Equations (1463) can reduce 436 to:
% 109.65/58.61 | (498) ~ (e1 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 498 yields:
% 109.65/58.61 | (40) ~ (e1 = e0)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (979), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (980) all_0_17_17 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (980) can reduce 817 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (817) ~ (all_0_17_17 = e1)
% 109.65/58.61 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (4563), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (816) all_0_27_27 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (995,816) yields a new equation:
% 109.65/58.61 | (531) e1 = e0
% 109.65/58.61 |
% 109.65/58.61 | Equations (531) can reduce 40 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (857) ~ (all_0_27_27 = e1)
% 109.65/58.61 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (983), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (984) all_0_18_18 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (1191,984) yields a new equation:
% 109.65/58.61 | (620) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 620 yields:
% 109.65/58.61 | (621) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (621) can reduce 310 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (428) ~ (all_0_18_18 = e1)
% 109.65/58.61 | (829) all_0_19_19 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (829) can reduce 174 to:
% 109.65/58.61 | (5048) ~ (all_0_29_29 = e1)
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 5048 yields:
% 109.65/58.61 | (2946) ~ (all_0_29_29 = e1)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (4568), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1122) all_0_28_28 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (1122) can reduce 434 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (434) ~ (all_0_28_28 = e1)
% 109.65/58.61 | (4599) all_0_29_29 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (4599) can reduce 2946 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.61 | (3225) all_0_38_38 = e0
% 109.65/58.61 |
% 109.65/58.61 | Equations (3225) can reduce 540 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (638) ~ (all_0_18_18 = e2)
% 109.65/58.61 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (3929), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (6267) all_0_23_23 = e2
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (6267,427) yields a new equation:
% 109.65/58.61 | (620) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 620 yields:
% 109.65/58.61 | (621) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (621) can reduce 310 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (6271) ~ (all_0_23_23 = e2)
% 109.65/58.61 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (6272), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1118) all_0_28_28 = e2
% 109.65/58.61 |
% 109.65/58.61 | Equations (1118) can reduce 477 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.61 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (6293), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (637) all_0_33_33 = e2
% 109.65/58.61 |
% 109.65/58.61 | Equations (637) can reduce 671 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.61 | (3218) all_0_38_38 = e2
% 109.65/58.61 |
% 109.65/58.61 | Equations (3218) can reduce 2728 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Applying alpha-rule on (1455) yields:
% 109.65/58.61 | (995) all_0_27_27 = e0
% 109.65/58.61 | (705) all_0_39_39 = e2
% 109.65/58.61 | (538) ~ (all_0_37_37 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Equations (995) can reduce 226 to:
% 109.65/58.61 | (659) ~ (all_0_17_17 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Equations (995) can reduce 122 to:
% 109.65/58.61 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Equations (995) can reduce 337 to:
% 109.65/58.61 | (757) ~ (all_0_28_28 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 757 yields:
% 109.65/58.61 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.61 |
% 109.65/58.61 | Equations (705) can reduce 231 to:
% 109.65/58.61 | (2728) ~ (all_0_38_38 = e2)
% 109.65/58.61 |
% 109.65/58.61 | Equations (705) can reduce 696 to:
% 109.65/58.61 | (310) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 | Equations (705) can reduce 542 to:
% 109.65/58.61 | (336) ~ (e2 = e0)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (43), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1495) all_0_25_25 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (1495) can reduce 1519 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (1519) ~ (all_0_25_25 = e1)
% 109.65/58.61 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (249), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (980) all_0_17_17 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (980) can reduce 396 to:
% 109.65/58.61 | (766) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 766 yields:
% 109.65/58.61 | (310) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 | Equations (980) can reduce 659 to:
% 109.65/58.61 | (40) ~ (e1 = e0)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (4556), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (4559) all_0_26_26 = e1
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (471,4559) yields a new equation:
% 109.65/58.61 | (620) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 620 yields:
% 109.65/58.61 | (621) e2 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (621) can reduce 310 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (416) ~ (all_0_26_26 = e1)
% 109.65/58.61 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.61 |
% 109.65/58.61 | Equations (471) can reduce 416 to:
% 109.65/58.61 | (310) ~ (e2 = e1)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (54), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (1191) all_0_18_18 = e2
% 109.65/58.61 |
% 109.65/58.61 | Equations (1191) can reduce 33 to:
% 109.65/58.61 | (6746) ~ (all_0_33_33 = e2)
% 109.65/58.61 |
% 109.65/58.61 | Simplifying 6746 yields:
% 109.65/58.61 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (340), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.61 | (756) all_0_18_18 = e0
% 109.65/58.61 |
% 109.65/58.61 | Combining equations (756,1191) yields a new equation:
% 109.65/58.61 | (525) e2 = e0
% 109.65/58.61 |
% 109.65/58.61 | Equations (525) can reduce 336 to:
% 109.65/58.61 | (400) $false
% 109.65/58.61 |
% 109.65/58.61 |-The branch is then unsatisfiable
% 109.65/58.61 |-Branch two:
% 109.65/58.61 | (1141) ~ (all_0_18_18 = e0)
% 109.65/58.61 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.61 |
% 109.65/58.61 +-Applying beta-rule and splitting (1142), into two cases.
% 109.65/58.61 |-Branch one:
% 109.65/58.62 | (4698) all_0_23_23 = e0
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (427,4698) yields a new equation:
% 109.65/58.62 | (530) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 530 yields:
% 109.65/58.62 | (531) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (531) can reduce 40 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (4702) ~ (all_0_23_23 = e0)
% 109.65/58.62 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4703), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1125) all_0_28_28 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (1125) can reduce 758 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.62 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4707), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1463) all_0_33_33 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (1463) can reduce 671 to:
% 109.65/58.62 | (496) ~ (e2 = e0)
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 496 yields:
% 109.65/58.62 | (336) ~ (e2 = e0)
% 109.65/58.62 |
% 109.65/58.62 | Equations (1463) can reduce 436 to:
% 109.65/58.62 | (498) ~ (e1 = e0)
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 498 yields:
% 109.65/58.62 | (40) ~ (e1 = e0)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (747), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (749) all_0_25_25 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (749) can reduce 1054 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (1054) ~ (all_0_25_25 = e0)
% 109.65/58.62 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (1201), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (646) all_0_30_30 = e0
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (646,613) yields a new equation:
% 109.65/58.62 | (525) e2 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (525) can reduce 336 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (650) ~ (all_0_30_30 = e0)
% 109.65/58.62 | (1139) all_0_35_35 = e0
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (1139,761) yields a new equation:
% 109.65/58.62 | (531) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (531) can reduce 40 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.62 | (3225) all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (3225) can reduce 540 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (638) ~ (all_0_18_18 = e2)
% 109.65/58.62 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (3929), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (6267) all_0_23_23 = e2
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (427,6267) yields a new equation:
% 109.65/58.62 | (621) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (621) can reduce 310 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (6271) ~ (all_0_23_23 = e2)
% 109.65/58.62 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (6272), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1118) all_0_28_28 = e2
% 109.65/58.62 |
% 109.65/58.62 | Equations (1118) can reduce 477 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (477) ~ (all_0_28_28 = e2)
% 109.65/58.62 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (6293), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (637) all_0_33_33 = e2
% 109.65/58.62 |
% 109.65/58.62 | Equations (637) can reduce 671 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (671) ~ (all_0_33_33 = e2)
% 109.65/58.62 | (3218) all_0_38_38 = e2
% 109.65/58.62 |
% 109.65/58.62 | Equations (3218) can reduce 2728 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (817) ~ (all_0_17_17 = e1)
% 109.65/58.62 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (54), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1191) all_0_18_18 = e2
% 109.65/58.62 |
% 109.65/58.62 | Equations (1191) can reduce 428 to:
% 109.65/58.62 | (310) ~ (e2 = e1)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (340), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (756) all_0_18_18 = e0
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (1191,756) yields a new equation:
% 109.65/58.62 | (524) e2 = e0
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 524 yields:
% 109.65/58.62 | (525) e2 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (525) can reduce 336 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (1141) ~ (all_0_18_18 = e0)
% 109.65/58.62 | (1142) all_0_23_23 = e0 | all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (1142), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (4698) all_0_23_23 = e0
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (427,4698) yields a new equation:
% 109.65/58.62 | (530) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 530 yields:
% 109.65/58.62 | (531) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (531) can reduce 40 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (4702) ~ (all_0_23_23 = e0)
% 109.65/58.62 | (4703) all_0_28_28 = e0 | all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4556), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (4559) all_0_26_26 = e1
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (471,4559) yields a new equation:
% 109.65/58.62 | (620) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 620 yields:
% 109.65/58.62 | (621) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (621) can reduce 310 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (416) ~ (all_0_26_26 = e1)
% 109.65/58.62 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (471) can reduce 416 to:
% 109.65/58.62 | (310) ~ (e2 = e1)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (1085), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1094) all_0_22_22 = e1
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (442,1094) yields a new equation:
% 109.65/58.62 | (620) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 620 yields:
% 109.65/58.62 | (621) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (621) can reduce 310 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (1098) ~ (all_0_22_22 = e1)
% 109.65/58.62 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (442) can reduce 1098 to:
% 109.65/58.62 | (310) ~ (e2 = e1)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4703), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1125) all_0_28_28 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (1125) can reduce 758 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (758) ~ (all_0_28_28 = e0)
% 109.65/58.62 | (4707) all_0_33_33 = e0 | all_0_38_38 = e0
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (973), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (974) all_0_16_16 = e1
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (974,454) yields a new equation:
% 109.65/58.62 | (838) e4 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (838) can reduce 56 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (415) ~ (all_0_16_16 = e1)
% 109.65/58.62 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4707), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1463) all_0_33_33 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (1463) can reduce 436 to:
% 109.65/58.62 | (498) ~ (e1 = e0)
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 498 yields:
% 109.65/58.62 | (40) ~ (e1 = e0)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (979), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (980) all_0_17_17 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (980) can reduce 817 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (817) ~ (all_0_17_17 = e1)
% 109.65/58.62 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4563), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (816) all_0_27_27 = e1
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (995,816) yields a new equation:
% 109.65/58.62 | (531) e1 = e0
% 109.65/58.62 |
% 109.65/58.62 | Equations (531) can reduce 40 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (857) ~ (all_0_27_27 = e1)
% 109.65/58.62 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (983), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (984) all_0_18_18 = e1
% 109.65/58.62 |
% 109.65/58.62 | Combining equations (1191,984) yields a new equation:
% 109.65/58.62 | (620) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 620 yields:
% 109.65/58.62 | (621) e2 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (621) can reduce 310 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (428) ~ (all_0_18_18 = e1)
% 109.65/58.62 | (829) all_0_19_19 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (829) can reduce 174 to:
% 109.65/58.62 | (5048) ~ (all_0_29_29 = e1)
% 109.65/58.62 |
% 109.65/58.62 | Simplifying 5048 yields:
% 109.65/58.62 | (2946) ~ (all_0_29_29 = e1)
% 109.65/58.62 |
% 109.65/58.62 +-Applying beta-rule and splitting (4568), into two cases.
% 109.65/58.62 |-Branch one:
% 109.65/58.62 | (1122) all_0_28_28 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (1122) can reduce 434 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.62 |-Branch two:
% 109.65/58.62 | (434) ~ (all_0_28_28 = e1)
% 109.65/58.62 | (4599) all_0_29_29 = e1
% 109.65/58.62 |
% 109.65/58.62 | Equations (4599) can reduce 2946 to:
% 109.65/58.62 | (400) $false
% 109.65/58.62 |
% 109.65/58.62 |-The branch is then unsatisfiable
% 109.65/58.63 |-Branch two:
% 109.65/58.63 | (2612) ~ (all_0_33_33 = e0)
% 109.65/58.63 | (3225) all_0_38_38 = e0
% 109.65/58.63 |
% 109.65/58.63 | Equations (3225) can reduce 540 to:
% 109.65/58.63 | (400) $false
% 109.65/58.63 |
% 109.65/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (638) ~ (all_0_18_18 = e2)
% 109.74/58.63 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.74/58.63 |
% 109.74/58.63 +-Applying beta-rule and splitting (3929), into two cases.
% 109.74/58.63 |-Branch one:
% 109.74/58.63 | (6267) all_0_23_23 = e2
% 109.74/58.63 |
% 109.74/58.63 | Combining equations (6267,427) yields a new equation:
% 109.74/58.63 | (620) e2 = e1
% 109.74/58.63 |
% 109.74/58.63 | Simplifying 620 yields:
% 109.74/58.63 | (621) e2 = e1
% 109.74/58.63 |
% 109.74/58.63 | Equations (621) can reduce 310 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (6271) ~ (all_0_23_23 = e2)
% 109.74/58.63 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.74/58.63 |
% 109.74/58.63 +-Applying beta-rule and splitting (6272), into two cases.
% 109.74/58.63 |-Branch one:
% 109.74/58.63 | (1118) all_0_28_28 = e2
% 109.74/58.63 |
% 109.74/58.63 | Equations (1118) can reduce 477 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (477) ~ (all_0_28_28 = e2)
% 109.74/58.63 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 109.74/58.63 |
% 109.74/58.63 +-Applying beta-rule and splitting (6293), into two cases.
% 109.74/58.63 |-Branch one:
% 109.74/58.63 | (637) all_0_33_33 = e2
% 109.74/58.63 |
% 109.74/58.63 | Equations (637) can reduce 671 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (671) ~ (all_0_33_33 = e2)
% 109.74/58.63 | (3218) all_0_38_38 = e2
% 109.74/58.63 |
% 109.74/58.63 | Equations (3218) can reduce 2728 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.74/58.63 |
% 109.74/58.63 | Applying alpha-rule on (1462) yields:
% 109.74/58.63 | (1463) all_0_33_33 = e0
% 109.74/58.63 | (1252) all_0_39_39 = e1
% 109.74/58.63 | (421) ~ (all_0_34_34 = e1)
% 109.74/58.63 |
% 109.74/58.63 | Equations (1252) can reduce 696 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.74/58.63 |
% 109.74/58.63 | Applying alpha-rule on (1469) yields:
% 109.74/58.63 | (1463) all_0_33_33 = e0
% 109.74/58.63 | (1252) all_0_39_39 = e1
% 109.74/58.63 | (540) ~ (all_0_38_38 = e0)
% 109.74/58.63 |
% 109.74/58.63 | Equations (1252) can reduce 696 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (1138) ~ (all_0_35_35 = e1)
% 109.74/58.63 | (1139) all_0_35_35 = e0
% 109.74/58.63 |
% 109.74/58.63 | Equations (1139) can reduce 536 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (617) ~ (all_0_30_30 = e2)
% 109.74/58.63 | (14452) all_0_30_30 = e1 | all_0_30_30 = e0
% 109.74/58.63 |
% 109.74/58.63 +-Applying beta-rule and splitting (14452), into two cases.
% 109.74/58.63 |-Branch one:
% 109.74/58.63 | (1521) all_0_30_30 = e1
% 109.74/58.63 |
% 109.74/58.63 | Equations (1521) can reduce 417 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.63 |-Branch two:
% 109.74/58.63 | (417) ~ (all_0_30_30 = e1)
% 109.74/58.63 | (646) all_0_30_30 = e0
% 109.74/58.63 |
% 109.74/58.63 | Equations (646) can reduce 650 to:
% 109.74/58.63 | (400) $false
% 109.74/58.63 |
% 109.74/58.63 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24822) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 94 to:
% 109.74/58.64 | (1150) ~ (all_0_19_19 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 291 to:
% 109.74/58.64 | (3115) ~ (all_0_29_29 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 85 to:
% 109.74/58.64 | (583) ~ (all_0_34_34 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 63 to:
% 109.74/58.64 | (585) ~ (all_0_35_35 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 24 to:
% 109.74/58.64 | (1127) ~ (all_0_37_37 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 231 to:
% 109.74/58.64 | (3095) ~ (all_0_38_38 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 542 to:
% 109.74/58.64 | (80) ~ (e3 = e0)
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (296), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (571) ~ (all_0_39_39 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 571 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24833) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (58), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (571) ~ (all_0_39_39 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 571 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24837) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e2)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e1))
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (19), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (571) ~ (all_0_39_39 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 571 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24841) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e4) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (325), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (571) ~ (all_0_39_39 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 571 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24845) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e2) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e1)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e4))
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (323), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (571) ~ (all_0_39_39 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (701) can reduce 571 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (701) all_0_39_39 = e3
% 109.74/58.64 | (24849) (all_0_1_1 = all_0_36_36 & ~ (all_0_0_0 = e1) & op(all_0_36_36, e0) = all_0_0_0) | (all_0_1_1 = all_0_36_36 & ~ (all_0_36_36 = e4)) | (all_0_2_2 = all_0_24_24 & ~ (all_0_24_24 = e2))
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (5), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (660) ~ (all_0_27_27 = e0)
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (93), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (749) all_0_25_25 = e0
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 42 to:
% 109.74/58.64 | (739) ~ (all_0_15_15 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 122 to:
% 109.74/58.64 | (750) ~ (all_0_27_27 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 750 yields:
% 109.74/58.64 | (660) ~ (all_0_27_27 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 185 to:
% 109.74/58.64 | (757) ~ (all_0_28_28 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 757 yields:
% 109.74/58.64 | (758) ~ (all_0_28_28 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 7 to:
% 109.74/58.64 | (492) ~ (all_0_29_29 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 492 yields:
% 109.74/58.64 | (493) ~ (all_0_29_29 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 62 to:
% 109.74/58.64 | (11168) ~ (all_0_30_30 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 11168 yields:
% 109.74/58.64 | (650) ~ (all_0_30_30 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 194 to:
% 109.74/58.64 | (752) ~ (all_0_35_35 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 752 yields:
% 109.74/58.64 | (536) ~ (all_0_35_35 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 505 to:
% 109.74/58.64 | (543) ~ (e4 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 543 yields:
% 109.74/58.64 | (267) ~ (e4 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Equations (749) can reduce 473 to:
% 109.74/58.64 | (496) ~ (e2 = e0)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 496 yields:
% 109.74/58.64 | (336) ~ (e2 = e0)
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (116), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (769) ~ (all_0_15_15 = e2)
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (278), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (573) ~ (all_0_27_27 = e3)
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (57), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (1698) all_0_25_25 = e3
% 109.74/58.64 |
% 109.74/58.64 | Combining equations (749,1698) yields a new equation:
% 109.74/58.64 | (648) e3 = e0
% 109.74/58.64 |
% 109.74/58.64 | Equations (648) can reduce 80 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (577) ~ (all_0_25_25 = e3)
% 109.74/58.64 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (3006), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (3007) all_0_26_26 = e3
% 109.74/58.64 |
% 109.74/58.64 | Combining equations (471,3007) yields a new equation:
% 109.74/58.64 | (615) e3 = e2
% 109.74/58.64 |
% 109.74/58.64 | Equations (615) can reduce 52 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (3010) ~ (all_0_26_26 = e3)
% 109.74/58.64 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (3011), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (808) all_0_27_27 = e3
% 109.74/58.64 |
% 109.74/58.64 | Equations (808) can reduce 573 to:
% 109.74/58.64 | (400) $false
% 109.74/58.64 |
% 109.74/58.64 |-The branch is then unsatisfiable
% 109.74/58.64 |-Branch two:
% 109.74/58.64 | (573) ~ (all_0_27_27 = e3)
% 109.74/58.64 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.74/58.64 |
% 109.74/58.64 +-Applying beta-rule and splitting (3016), into two cases.
% 109.74/58.64 |-Branch one:
% 109.74/58.64 | (1106) all_0_28_28 = e3
% 109.74/58.64 |
% 109.74/58.64 | Equations (1106) can reduce 302 to:
% 109.74/58.64 | (1189) ~ (all_0_18_18 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (1106) can reduce 337 to:
% 109.74/58.64 | (573) ~ (all_0_27_27 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (1106) can reduce 47 to:
% 109.74/58.64 | (3114) ~ (all_0_29_29 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 3114 yields:
% 109.74/58.64 | (3115) ~ (all_0_29_29 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Equations (1106) can reduce 230 to:
% 109.74/58.64 | (580) ~ (all_0_33_33 = e3)
% 109.74/58.64 |
% 109.74/58.64 | Simplifying 580 yields:
% 109.74/58.64 | (574) ~ (all_0_33_33 = e3)
% 109.74/58.64 |
% 109.74/58.65 | Equations (1106) can reduce 207 to:
% 109.74/58.65 | (3094) ~ (all_0_38_38 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 3094 yields:
% 109.74/58.65 | (3095) ~ (all_0_38_38 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (1106) can reduce 434 to:
% 109.74/58.65 | (298) ~ (e3 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Equations (1106) can reduce 758 to:
% 109.74/58.65 | (80) ~ (e3 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (55), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (590) all_0_25_25 = e4
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (749,590) yields a new equation:
% 109.74/58.65 | (515) e4 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (515) can reduce 267 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (505) ~ (all_0_25_25 = e4)
% 109.74/58.65 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.74/58.65 |
% 109.74/58.65 | Equations (749) can reduce 505 to:
% 109.74/58.65 | (543) ~ (e4 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 543 yields:
% 109.74/58.65 | (267) ~ (e4 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (103), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (572) ~ (all_0_15_15 = e3)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (198), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1297) all_0_15_15 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (1297) can reduce 572 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (572) ~ (all_0_15_15 = e3)
% 109.74/58.65 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (232), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1297) all_0_15_15 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (1297) can reduce 572 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (572) ~ (all_0_15_15 = e3)
% 109.74/58.65 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (2769), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (3117) all_0_16_16 = e3
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (3117,454) yields a new equation:
% 109.74/58.65 | (597) e4 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (597) can reduce 255 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (3121) ~ (all_0_16_16 = e3)
% 109.74/58.65 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (454) can reduce 3121 to:
% 109.74/58.65 | (255) ~ (e4 = e3)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (6683), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (6785) all_0_20_20 = e3
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (6785,500) yields a new equation:
% 109.74/58.65 | (597) e4 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (597) can reduce 255 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (1306) ~ (all_0_20_20 = e3)
% 109.74/58.65 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (3122), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (855) all_0_17_17 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (855) can reduce 9 to:
% 109.74/58.65 | (1719) ~ (all_0_18_18 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 1719 yields:
% 109.74/58.65 | (1189) ~ (all_0_18_18 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (855) can reduce 131 to:
% 109.74/58.65 | (1149) ~ (all_0_19_19 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 1149 yields:
% 109.74/58.65 | (1150) ~ (all_0_19_19 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (855) can reduce 226 to:
% 109.74/58.65 | (19166) ~ (all_0_27_27 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 19166 yields:
% 109.74/58.65 | (573) ~ (all_0_27_27 = e3)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (158), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (6706) all_0_15_15 = e4
% 109.74/58.65 |
% 109.74/58.65 | Equations (6706) can reduce 501 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (501) ~ (all_0_15_15 = e4)
% 109.74/58.65 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (6789), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1698) all_0_25_25 = e3
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (749,1698) yields a new equation:
% 109.74/58.65 | (648) e3 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (648) can reduce 80 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (577) ~ (all_0_25_25 = e3)
% 109.74/58.65 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (7020), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (575) all_0_30_30 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 3 to:
% 109.74/58.65 | (572) ~ (all_0_15_15 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 301 to:
% 109.74/58.65 | (578) ~ (all_0_32_32 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 578 yields:
% 109.74/58.65 | (579) ~ (all_0_32_32 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 150 to:
% 109.74/58.65 | (580) ~ (all_0_33_33 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 580 yields:
% 109.74/58.65 | (574) ~ (all_0_33_33 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 202 to:
% 109.74/58.65 | (582) ~ (all_0_34_34 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 582 yields:
% 109.74/58.65 | (583) ~ (all_0_34_34 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 15 to:
% 109.74/58.65 | (584) ~ (all_0_35_35 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 584 yields:
% 109.74/58.65 | (585) ~ (all_0_35_35 = e3)
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 650 to:
% 109.74/58.65 | (80) ~ (e3 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (6709), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1297) all_0_15_15 = e3
% 109.74/58.65 |
% 109.74/58.65 | Equations (1297) can reduce 572 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (572) ~ (all_0_15_15 = e3)
% 109.74/58.65 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (92), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (736) all_0_15_15 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (736) can reduce 739 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (739) ~ (all_0_15_15 = e0)
% 109.74/58.65 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (9969), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (711) all_0_15_15 = e2
% 109.74/58.65 |
% 109.74/58.65 | Equations (711) can reduce 769 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (769) ~ (all_0_15_15 = e2)
% 109.74/58.65 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (1207), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (514) all_0_16_16 = e0
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (514,454) yields a new equation:
% 109.74/58.65 | (515) e4 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (515) can reduce 267 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (517) ~ (all_0_16_16 = e0)
% 109.74/58.65 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (1212), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1184) all_0_17_17 = e0
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (1184,855) yields a new equation:
% 109.74/58.65 | (648) e3 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (648) can reduce 80 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (659) ~ (all_0_17_17 = e0)
% 109.74/58.65 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (1216), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (756) all_0_18_18 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (756) can reduce 90 to:
% 109.74/58.65 | (739) ~ (all_0_15_15 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Equations (756) can reduce 172 to:
% 109.74/58.65 | (3657) ~ (all_0_19_19 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 3657 yields:
% 109.74/58.65 | (489) ~ (all_0_19_19 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Equations (756) can reduce 38 to:
% 109.74/58.65 | (539) ~ (all_0_38_38 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 539 yields:
% 109.74/58.65 | (540) ~ (all_0_38_38 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Equations (756) can reduce 1189 to:
% 109.74/58.65 | (665) ~ (e3 = e0)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 665 yields:
% 109.74/58.65 | (80) ~ (e3 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (9982), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (969) all_0_15_15 = e1
% 109.74/58.65 |
% 109.74/58.65 | Equations (969) can reduce 39 to:
% 109.74/58.65 | (3855) ~ (all_0_35_35 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 3855 yields:
% 109.74/58.65 | (1138) ~ (all_0_35_35 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Equations (969) can reduce 572 to:
% 109.74/58.65 | (824) ~ (e3 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 824 yields:
% 109.74/58.65 | (298) ~ (e3 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Equations (969) can reduce 739 to:
% 109.74/58.65 | (40) ~ (e1 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (212), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (679) ~ (all_0_15_15 = e1)
% 109.74/58.65 |
% 109.74/58.65 | Equations (969) can reduce 679 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (969) all_0_15_15 = e1
% 109.74/58.65 | (1548) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e0) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e3))
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (332), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1151) all_0_19_19 = e4
% 109.74/58.65 |
% 109.74/58.65 | Equations (1151) can reduce 460 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (460) ~ (all_0_19_19 = e4)
% 109.74/58.65 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (304), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (646) all_0_30_30 = e0
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (575,646) yields a new equation:
% 109.74/58.65 | (647) e3 = e0
% 109.74/58.65 |
% 109.74/58.65 | Simplifying 647 yields:
% 109.74/58.65 | (648) e3 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (648) can reduce 80 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (650) ~ (all_0_30_30 = e0)
% 109.74/58.65 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (575) can reduce 650 to:
% 109.74/58.65 | (80) ~ (e3 = e0)
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (327), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (1184) all_0_17_17 = e0
% 109.74/58.65 |
% 109.74/58.65 | Combining equations (1184,855) yields a new equation:
% 109.74/58.65 | (648) e3 = e0
% 109.74/58.65 |
% 109.74/58.65 | Equations (648) can reduce 80 to:
% 109.74/58.65 | (400) $false
% 109.74/58.65 |
% 109.74/58.65 |-The branch is then unsatisfiable
% 109.74/58.65 |-Branch two:
% 109.74/58.65 | (659) ~ (all_0_17_17 = e0)
% 109.74/58.65 | (4262) all_0_22_22 = e0 | all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.74/58.65 |
% 109.74/58.65 +-Applying beta-rule and splitting (148), into two cases.
% 109.74/58.65 |-Branch one:
% 109.74/58.65 | (761) all_0_35_35 = e1
% 109.74/58.65 |
% 109.74/58.66 | Equations (761) can reduce 1138 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (1138) ~ (all_0_35_35 = e1)
% 109.74/58.66 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4262), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (4273) all_0_22_22 = e0
% 109.74/58.66 |
% 109.74/58.66 | Combining equations (4273,442) yields a new equation:
% 109.74/58.66 | (525) e2 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (525) can reduce 336 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (4277) ~ (all_0_22_22 = e0)
% 109.74/58.66 | (4278) all_0_27_27 = e0 | all_0_32_32 = e0 | all_0_37_37 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4931), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (4950) all_0_36_36 = e1
% 109.74/58.66 |
% 109.74/58.66 | Combining equations (534,4950) yields a new equation:
% 109.74/58.66 | (531) e1 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (531) can reduce 40 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (423) ~ (all_0_36_36 = e1)
% 109.74/58.66 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4955), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (1112) all_0_37_37 = e1
% 109.74/58.66 |
% 109.74/58.66 | Equations (1112) can reduce 167 to:
% 109.74/58.66 | (857) ~ (all_0_27_27 = e1)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1112) can reduce 309 to:
% 109.74/58.66 | (1138) ~ (all_0_35_35 = e1)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1112) can reduce 97 to:
% 109.74/58.66 | (437) ~ (all_0_38_38 = e1)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 437 yields:
% 109.74/58.66 | (438) ~ (all_0_38_38 = e1)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1112) can reduce 538 to:
% 109.74/58.66 | (40) ~ (e1 = e0)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (287), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (785) ~ (all_0_27_27 = e4)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4278), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (995) all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (995) can reduce 660 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (660) ~ (all_0_27_27 = e0)
% 109.74/58.66 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4292), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (658) all_0_32_32 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 170 to:
% 109.74/58.66 | (660) ~ (all_0_27_27 = e0)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (175), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (804) all_0_27_27 = e4
% 109.74/58.66 |
% 109.74/58.66 | Equations (804) can reduce 785 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (785) ~ (all_0_27_27 = e4)
% 109.74/58.66 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (807), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (808) all_0_27_27 = e3
% 109.74/58.66 |
% 109.74/58.66 | Equations (808) can reduce 573 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (573) ~ (all_0_27_27 = e3)
% 109.74/58.66 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (811), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (812) all_0_27_27 = e2
% 109.74/58.66 |
% 109.74/58.66 | Equations (812) can reduce 475 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (475) ~ (all_0_27_27 = e2)
% 109.74/58.66 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (815), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (816) all_0_27_27 = e1
% 109.74/58.66 |
% 109.74/58.66 | Equations (816) can reduce 857 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (857) ~ (all_0_27_27 = e1)
% 109.74/58.66 | (995) all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (995) can reduce 660 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (889) ~ (all_0_32_32 = e0)
% 109.74/58.66 | (1136) all_0_37_37 = e0
% 109.74/58.66 |
% 109.74/58.66 | Combining equations (1136,1112) yields a new equation:
% 109.74/58.66 | (531) e1 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (531) can reduce 40 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (804) all_0_27_27 = e4
% 109.74/58.66 | (14644) (all_0_7_7 = all_0_25_25 & ~ (all_0_6_6 = e1) & op(all_0_25_25, e2) = all_0_6_6) | (all_0_7_7 = all_0_25_25 & ~ (all_0_25_25 = e0)) | (all_0_8_8 = all_0_17_17 & ~ (all_0_17_17 = e3))
% 109.74/58.66 |
% 109.74/58.66 | Equations (804) can reduce 53 to:
% 109.74/58.66 | (4420) ~ (all_0_29_29 = e4)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 4420 yields:
% 109.74/58.66 | (603) ~ (all_0_29_29 = e4)
% 109.74/58.66 |
% 109.74/58.66 | Equations (804) can reduce 170 to:
% 109.74/58.66 | (25056) ~ (all_0_32_32 = e4)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 25056 yields:
% 109.74/58.66 | (604) ~ (all_0_32_32 = e4)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (128), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (724) all_0_35_35 = e4
% 109.74/58.66 |
% 109.74/58.66 | Equations (724) can reduce 509 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (509) ~ (all_0_35_35 = e4)
% 109.74/58.66 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (727), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (728) all_0_35_35 = e3
% 109.74/58.66 |
% 109.74/58.66 | Equations (728) can reduce 585 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (585) ~ (all_0_35_35 = e3)
% 109.74/58.66 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (731), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (732) all_0_35_35 = e2
% 109.74/58.66 |
% 109.74/58.66 | Equations (732) can reduce 210 to:
% 109.74/58.66 | (2727) ~ (all_0_38_38 = e2)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 2727 yields:
% 109.74/58.66 | (2728) ~ (all_0_38_38 = e2)
% 109.74/58.66 |
% 109.74/58.66 | Equations (732) can reduce 585 to:
% 109.74/58.66 | (643) ~ (e3 = e2)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 643 yields:
% 109.74/58.66 | (52) ~ (e3 = e2)
% 109.74/58.66 |
% 109.74/58.66 | Equations (732) can reduce 1138 to:
% 109.74/58.66 | (310) ~ (e2 = e1)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (333), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (1846) all_0_38_38 = e4
% 109.74/58.66 |
% 109.74/58.66 | Equations (1846) can reduce 199 to:
% 109.74/58.66 | (594) ~ (all_0_33_33 = e4)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1846) can reduce 3095 to:
% 109.74/58.66 | (255) ~ (e4 = e3)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1846) can reduce 2728 to:
% 109.74/58.66 | (21) ~ (e4 = e2)
% 109.74/58.66 |
% 109.74/58.66 | Equations (1846) can reduce 540 to:
% 109.74/58.66 | (267) ~ (e4 = e0)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (250), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (1151) all_0_19_19 = e4
% 109.74/58.66 |
% 109.74/58.66 | Equations (1151) can reduce 460 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (460) ~ (all_0_19_19 = e4)
% 109.74/58.66 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (43), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (1495) all_0_25_25 = e1
% 109.74/58.66 |
% 109.74/58.66 | Combining equations (749,1495) yields a new equation:
% 109.74/58.66 | (531) e1 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (531) can reduce 40 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (1519) ~ (all_0_25_25 = e1)
% 109.74/58.66 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 109.74/58.66 |
% 109.74/58.66 | Equations (749) can reduce 1519 to:
% 109.74/58.66 | (498) ~ (e1 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 498 yields:
% 109.74/58.66 | (40) ~ (e1 = e0)
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (129), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (1322) all_0_33_33 = e4
% 109.74/58.66 |
% 109.74/58.66 | Equations (1322) can reduce 594 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (594) ~ (all_0_33_33 = e4)
% 109.74/58.66 | (2588) all_0_33_33 = e3 | all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4278), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (995) all_0_27_27 = e0
% 109.74/58.66 |
% 109.74/58.66 | Combining equations (804,995) yields a new equation:
% 109.74/58.66 | (743) e4 = e0
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 743 yields:
% 109.74/58.66 | (515) e4 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (515) can reduce 267 to:
% 109.74/58.66 | (400) $false
% 109.74/58.66 |
% 109.74/58.66 |-The branch is then unsatisfiable
% 109.74/58.66 |-Branch two:
% 109.74/58.66 | (660) ~ (all_0_27_27 = e0)
% 109.74/58.66 | (4292) all_0_32_32 = e0 | all_0_37_37 = e0
% 109.74/58.66 |
% 109.74/58.66 +-Applying beta-rule and splitting (4292), into two cases.
% 109.74/58.66 |-Branch one:
% 109.74/58.66 | (658) all_0_32_32 = e0
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 105 to:
% 109.74/58.66 | (9509) ~ (all_0_33_33 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 9509 yields:
% 109.74/58.66 | (2612) ~ (all_0_33_33 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 132 to:
% 109.74/58.66 | (494) ~ (all_0_34_34 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 494 yields:
% 109.74/58.66 | (495) ~ (all_0_34_34 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 604 to:
% 109.74/58.66 | (543) ~ (e4 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 543 yields:
% 109.74/58.66 | (267) ~ (e4 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 579 to:
% 109.74/58.66 | (665) ~ (e3 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 665 yields:
% 109.74/58.66 | (80) ~ (e3 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Equations (658) can reduce 448 to:
% 109.74/58.66 | (496) ~ (e2 = e0)
% 109.74/58.66 |
% 109.74/58.66 | Simplifying 496 yields:
% 109.74/58.66 | (336) ~ (e2 = e0)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (2588), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1360) all_0_33_33 = e3
% 109.74/58.67 |
% 109.74/58.67 | Equations (1360) can reduce 574 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (574) ~ (all_0_33_33 = e3)
% 109.74/58.67 | (2592) all_0_33_33 = e2 | all_0_33_33 = e1 | all_0_33_33 = e0
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (154), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (671) ~ (all_0_33_33 = e2)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (107), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (613) all_0_30_30 = e2
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (575,613) yields a new equation:
% 109.74/58.67 | (614) e3 = e2
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 614 yields:
% 109.74/58.67 | (615) e3 = e2
% 109.74/58.67 |
% 109.74/58.67 | Equations (615) can reduce 52 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (617) ~ (all_0_30_30 = e2)
% 109.74/58.67 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (618), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (619) all_0_31_31 = e2
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (414,619) yields a new equation:
% 109.74/58.67 | (621) e2 = e1
% 109.74/58.67 |
% 109.74/58.67 | Equations (621) can reduce 310 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (623) ~ (all_0_31_31 = e2)
% 109.74/58.67 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (624), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (625) all_0_32_32 = e2
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (625,658) yields a new equation:
% 109.74/58.67 | (524) e2 = e0
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 524 yields:
% 109.74/58.67 | (525) e2 = e0
% 109.74/58.67 |
% 109.74/58.67 | Equations (525) can reduce 336 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (448) ~ (all_0_32_32 = e2)
% 109.74/58.67 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (628), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (637) all_0_33_33 = e2
% 109.74/58.67 |
% 109.74/58.67 | Equations (637) can reduce 671 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (671) ~ (all_0_33_33 = e2)
% 109.74/58.67 | (2551) all_0_34_34 = e2
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (2780), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (2956) all_0_24_24 = e4
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (2956,488) yields a new equation:
% 109.74/58.67 | (743) e4 = e0
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 743 yields:
% 109.74/58.67 | (515) e4 = e0
% 109.74/58.67 |
% 109.74/58.67 | Equations (515) can reduce 267 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (2960) ~ (all_0_24_24 = e4)
% 109.74/58.67 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (2961), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (941) all_0_29_29 = e4
% 109.74/58.67 |
% 109.74/58.67 | Equations (941) can reduce 603 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (603) ~ (all_0_29_29 = e4)
% 109.74/58.67 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (3061), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (601) all_0_34_34 = e4
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (2551,601) yields a new equation:
% 109.74/58.67 | (798) e4 = e2
% 109.74/58.67 |
% 109.74/58.67 | Equations (798) can reduce 21 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (2554) ~ (all_0_34_34 = e4)
% 109.74/58.67 | (697) all_0_39_39 = e4
% 109.74/58.67 |
% 109.74/58.67 | Combining equations (701,697) yields a new equation:
% 109.74/58.67 | (597) e4 = e3
% 109.74/58.67 |
% 109.74/58.67 | Equations (597) can reduce 255 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (637) all_0_33_33 = e2
% 109.74/58.67 | (687) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e4) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e0)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e3))
% 109.74/58.67 |
% 109.74/58.67 | Equations (637) can reduce 155 to:
% 109.74/58.67 | (11182) ~ (all_0_34_34 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 11182 yields:
% 109.74/58.67 | (4340) ~ (all_0_34_34 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Equations (637) can reduce 574 to:
% 109.74/58.67 | (643) ~ (e3 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 643 yields:
% 109.74/58.67 | (52) ~ (e3 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Equations (637) can reduce 2612 to:
% 109.74/58.67 | (336) ~ (e2 = e0)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (168), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1163) all_0_19_19 = e2
% 109.74/58.67 |
% 109.74/58.67 | Equations (1163) can reduce 174 to:
% 109.74/58.67 | (478) ~ (all_0_29_29 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 478 yields:
% 109.74/58.67 | (479) ~ (all_0_29_29 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Equations (1163) can reduce 295 to:
% 109.74/58.67 | (11182) ~ (all_0_34_34 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 11182 yields:
% 109.74/58.67 | (4340) ~ (all_0_34_34 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Equations (1163) can reduce 1150 to:
% 109.74/58.67 | (643) ~ (e3 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 643 yields:
% 109.74/58.67 | (52) ~ (e3 = e2)
% 109.74/58.67 |
% 109.74/58.67 | Equations (1163) can reduce 489 to:
% 109.74/58.67 | (336) ~ (e2 = e0)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (263), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (601) all_0_34_34 = e4
% 109.74/58.67 |
% 109.74/58.67 | Equations (601) can reduce 84 to:
% 109.74/58.67 | (603) ~ (all_0_29_29 = e4)
% 109.74/58.67 |
% 109.74/58.67 | Equations (601) can reduce 4340 to:
% 109.74/58.67 | (21) ~ (e4 = e2)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (88), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (941) all_0_29_29 = e4
% 109.74/58.67 |
% 109.74/58.67 | Equations (941) can reduce 603 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (603) ~ (all_0_29_29 = e4)
% 109.74/58.67 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (5059), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (3056) all_0_29_29 = e3
% 109.74/58.67 |
% 109.74/58.67 | Equations (3056) can reduce 3115 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (3115) ~ (all_0_29_29 = e3)
% 109.74/58.67 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (5198), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (5199) all_0_29_29 = e2
% 109.74/58.67 |
% 109.74/58.67 | Equations (5199) can reduce 479 to:
% 109.74/58.67 | (400) $false
% 109.74/58.67 |
% 109.74/58.67 |-The branch is then unsatisfiable
% 109.74/58.67 |-Branch two:
% 109.74/58.67 | (479) ~ (all_0_29_29 = e2)
% 109.74/58.67 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (5202), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (4599) all_0_29_29 = e1
% 109.74/58.67 |
% 109.74/58.67 | Equations (4599) can reduce 603 to:
% 109.74/58.67 | (764) ~ (e4 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 764 yields:
% 109.74/58.67 | (56) ~ (e4 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Equations (4599) can reduce 3115 to:
% 109.74/58.67 | (824) ~ (e3 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 824 yields:
% 109.74/58.67 | (298) ~ (e3 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Equations (4599) can reduce 479 to:
% 109.74/58.67 | (766) ~ (e2 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Simplifying 766 yields:
% 109.74/58.67 | (310) ~ (e2 = e1)
% 109.74/58.67 |
% 109.74/58.67 | Equations (4599) can reduce 493 to:
% 109.74/58.67 | (40) ~ (e1 = e0)
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (251), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1278), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1279), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1280), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1281), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1282), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1283), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.74/58.67 |
% 109.74/58.67 +-Applying beta-rule and splitting (1284), into two cases.
% 109.74/58.67 |-Branch one:
% 109.74/58.67 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1285), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1286), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1287), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1288), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1289), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1290), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1291), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1292), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1293), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1294), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.74/58.68 |
% 109.74/58.68 +-Applying beta-rule and splitting (1295), into two cases.
% 109.74/58.68 |-Branch one:
% 109.74/58.68 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1296) yields:
% 109.74/58.68 | (1297) all_0_15_15 = e3
% 109.74/58.68 | (550) all_0_21_21 = e4
% 109.74/58.68 | (1299) ~ (all_0_16_16 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (1297,969) yields a new equation:
% 109.74/58.68 | (1113) e3 = e1
% 109.74/58.68 |
% 109.74/58.68 | Simplifying 1113 yields:
% 109.74/58.68 | (928) e3 = e1
% 109.74/58.68 |
% 109.74/58.68 | Equations (928) can reduce 298 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1303) yields:
% 109.74/58.68 | (1297) all_0_15_15 = e3
% 109.74/58.68 | (550) all_0_21_21 = e4
% 109.74/58.68 | (1306) ~ (all_0_20_20 = e3)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (1297,969) yields a new equation:
% 109.74/58.68 | (1113) e3 = e1
% 109.74/58.68 |
% 109.74/58.68 | Simplifying 1113 yields:
% 109.74/58.68 | (928) e3 = e1
% 109.74/58.68 |
% 109.74/58.68 | Equations (928) can reduce 298 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1310) yields:
% 109.74/58.68 | (711) all_0_15_15 = e2
% 109.74/58.68 | (804) all_0_27_27 = e4
% 109.74/58.68 | (456) ~ (all_0_17_17 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (711,969) yields a new equation:
% 109.74/58.68 | (620) e2 = e1
% 109.74/58.68 |
% 109.74/58.68 | Simplifying 620 yields:
% 109.74/58.68 | (621) e2 = e1
% 109.74/58.68 |
% 109.74/58.68 | Equations (621) can reduce 310 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1315) yields:
% 109.74/58.68 | (711) all_0_15_15 = e2
% 109.74/58.68 | (804) all_0_27_27 = e4
% 109.74/58.68 | (473) ~ (all_0_25_25 = e2)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (711,969) yields a new equation:
% 109.74/58.68 | (620) e2 = e1
% 109.74/58.68 |
% 109.74/58.68 | Simplifying 620 yields:
% 109.74/58.68 | (621) e2 = e1
% 109.74/58.68 |
% 109.74/58.68 | Equations (621) can reduce 310 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1320) yields:
% 109.74/58.68 | (969) all_0_15_15 = e1
% 109.74/58.68 | (1322) all_0_33_33 = e4
% 109.74/58.68 | (458) ~ (all_0_18_18 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (637,1322) yields a new equation:
% 109.74/58.68 | (798) e4 = e2
% 109.74/58.68 |
% 109.74/58.68 | Equations (798) can reduce 21 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1326) yields:
% 109.74/58.68 | (969) all_0_15_15 = e1
% 109.74/58.68 | (1322) all_0_33_33 = e4
% 109.74/58.68 | (417) ~ (all_0_30_30 = e1)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (637,1322) yields a new equation:
% 109.74/58.68 | (798) e4 = e2
% 109.74/58.68 |
% 109.74/58.68 | Equations (798) can reduce 21 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1332) yields:
% 109.74/58.68 | (736) all_0_15_15 = e0
% 109.74/58.68 | (697) all_0_39_39 = e4
% 109.74/58.68 | (460) ~ (all_0_19_19 = e4)
% 109.74/58.68 |
% 109.74/58.68 | Combining equations (736,969) yields a new equation:
% 109.74/58.68 | (531) e1 = e0
% 109.74/58.68 |
% 109.74/58.68 | Equations (531) can reduce 40 to:
% 109.74/58.68 | (400) $false
% 109.74/58.68 |
% 109.74/58.68 |-The branch is then unsatisfiable
% 109.74/58.68 |-Branch two:
% 109.74/58.68 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.74/58.68 |
% 109.74/58.68 | Applying alpha-rule on (1339) yields:
% 109.74/58.68 | (736) all_0_15_15 = e0
% 109.74/58.68 | (697) all_0_39_39 = e4
% 109.74/58.68 | (536) ~ (all_0_35_35 = e0)
% 109.74/58.68 |
% 109.80/58.68 | Combining equations (736,969) yields a new equation:
% 109.80/58.68 | (531) e1 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (531) can reduce 40 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1346) yields:
% 109.80/58.68 | (1347) all_0_21_21 = e2
% 109.80/58.68 | (808) all_0_27_27 = e3
% 109.80/58.68 | (925) ~ (all_0_22_22 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1347,557) yields a new equation:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Equations (615) can reduce 52 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1352) yields:
% 109.80/58.68 | (1347) all_0_21_21 = e2
% 109.80/58.68 | (808) all_0_27_27 = e3
% 109.80/58.68 | (1355) ~ (all_0_26_26 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1347,557) yields a new equation:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Equations (615) can reduce 52 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1358) yields:
% 109.80/58.68 | (1359) all_0_21_21 = e1
% 109.80/58.68 | (1360) all_0_33_33 = e3
% 109.80/58.68 | (1361) ~ (all_0_23_23 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1359,557) yields a new equation:
% 109.80/58.68 | (928) e3 = e1
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (637,1360) yields a new equation:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (928,615) yields a new equation:
% 109.80/58.68 | (621) e2 = e1
% 109.80/58.68 |
% 109.80/58.68 | Equations (621) can reduce 310 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1367) yields:
% 109.80/58.68 | (1359) all_0_21_21 = e1
% 109.80/58.68 | (1360) all_0_33_33 = e3
% 109.80/58.68 | (1370) ~ (all_0_31_31 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1359,557) yields a new equation:
% 109.80/58.68 | (928) e3 = e1
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (637,1360) yields a new equation:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (928,615) yields a new equation:
% 109.80/58.68 | (621) e2 = e1
% 109.80/58.68 |
% 109.80/58.68 | Equations (621) can reduce 310 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1376) yields:
% 109.80/58.68 | (519) all_0_21_21 = e0
% 109.80/58.68 | (701) all_0_39_39 = e3
% 109.80/58.68 | (1379) ~ (all_0_24_24 = e3)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (519,557) yields a new equation:
% 109.80/58.68 | (648) e3 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (648) can reduce 80 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1385) yields:
% 109.80/58.68 | (519) all_0_21_21 = e0
% 109.80/58.68 | (701) all_0_39_39 = e3
% 109.80/58.68 | (1388) ~ (all_0_36_36 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (519,557) yields a new equation:
% 109.80/58.68 | (648) e3 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (648) can reduce 80 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1394) yields:
% 109.80/58.68 | (816) all_0_27_27 = e1
% 109.80/58.68 | (637) all_0_33_33 = e2
% 109.80/58.68 | (477) ~ (all_0_28_28 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (816,804) yields a new equation:
% 109.80/58.68 | (838) e4 = e1
% 109.80/58.68 |
% 109.80/58.68 | Equations (838) can reduce 56 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1421) yields:
% 109.80/58.68 | (816) all_0_27_27 = e1
% 109.80/58.68 | (637) all_0_33_33 = e2
% 109.80/58.68 | (419) ~ (all_0_32_32 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (816,804) yields a new equation:
% 109.80/58.68 | (838) e4 = e1
% 109.80/58.68 |
% 109.80/58.68 | Equations (838) can reduce 56 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1448) yields:
% 109.80/58.68 | (995) all_0_27_27 = e0
% 109.80/58.68 | (705) all_0_39_39 = e2
% 109.80/58.68 | (479) ~ (all_0_29_29 = e2)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (701,705) yields a new equation:
% 109.80/58.68 | (614) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Simplifying 614 yields:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Equations (615) can reduce 52 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1455) yields:
% 109.80/58.68 | (995) all_0_27_27 = e0
% 109.80/58.68 | (705) all_0_39_39 = e2
% 109.80/58.68 | (538) ~ (all_0_37_37 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (701,705) yields a new equation:
% 109.80/58.68 | (614) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Simplifying 614 yields:
% 109.80/58.68 | (615) e3 = e2
% 109.80/58.68 |
% 109.80/58.68 | Equations (615) can reduce 52 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1462) yields:
% 109.80/58.68 | (1463) all_0_33_33 = e0
% 109.80/58.68 | (1252) all_0_39_39 = e1
% 109.80/58.68 | (421) ~ (all_0_34_34 = e1)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1463,637) yields a new equation:
% 109.80/58.68 | (525) e2 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (525) can reduce 336 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Applying alpha-rule on (1469) yields:
% 109.80/58.68 | (1463) all_0_33_33 = e0
% 109.80/58.68 | (1252) all_0_39_39 = e1
% 109.80/58.68 | (540) ~ (all_0_38_38 = e0)
% 109.80/58.68 |
% 109.80/58.68 | Combining equations (1463,637) yields a new equation:
% 109.80/58.68 | (525) e2 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (525) can reduce 336 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.68 |-Branch two:
% 109.80/58.68 | (2946) ~ (all_0_29_29 = e1)
% 109.80/58.68 | (5206) all_0_29_29 = e0
% 109.80/58.68 |
% 109.80/58.68 | Equations (5206) can reduce 493 to:
% 109.80/58.68 | (400) $false
% 109.80/58.68 |
% 109.80/58.68 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (2554) ~ (all_0_34_34 = e4)
% 109.80/58.69 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (2555), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (2571) all_0_34_34 = e3
% 109.80/58.69 |
% 109.80/58.69 | Equations (2571) can reduce 583 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (583) ~ (all_0_34_34 = e3)
% 109.80/58.69 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (2574), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (2551) all_0_34_34 = e2
% 109.80/58.69 |
% 109.80/58.69 | Equations (2551) can reduce 4340 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (4340) ~ (all_0_34_34 = e2)
% 109.80/58.69 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (4341), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (4342) all_0_34_34 = e1
% 109.80/58.69 |
% 109.80/58.69 | Equations (4342) can reduce 421 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (421) ~ (all_0_34_34 = e1)
% 109.80/58.69 | (4345) all_0_34_34 = e0
% 109.80/58.69 |
% 109.80/58.69 | Equations (4345) can reduce 495 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (706) ~ (all_0_19_19 = e2)
% 109.80/58.69 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (7045), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (7046) all_0_24_24 = e2
% 109.80/58.69 |
% 109.80/58.69 | Combining equations (7046,488) yields a new equation:
% 109.80/58.69 | (524) e2 = e0
% 109.80/58.69 |
% 109.80/58.69 | Simplifying 524 yields:
% 109.80/58.69 | (525) e2 = e0
% 109.80/58.69 |
% 109.80/58.69 | Equations (525) can reduce 336 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (446) ~ (all_0_24_24 = e2)
% 109.80/58.69 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (7050), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (5199) all_0_29_29 = e2
% 109.80/58.69 |
% 109.80/58.69 | Equations (5199) can reduce 479 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (479) ~ (all_0_29_29 = e2)
% 109.80/58.69 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (7056), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (2551) all_0_34_34 = e2
% 109.80/58.69 |
% 109.80/58.69 | Equations (2551) can reduce 4340 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (4340) ~ (all_0_34_34 = e2)
% 109.80/58.69 | (705) all_0_39_39 = e2
% 109.80/58.69 |
% 109.80/58.69 | Combining equations (705,701) yields a new equation:
% 109.80/58.69 | (615) e3 = e2
% 109.80/58.69 |
% 109.80/58.69 | Equations (615) can reduce 52 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (889) ~ (all_0_32_32 = e0)
% 109.80/58.69 | (1136) all_0_37_37 = e0
% 109.80/58.69 |
% 109.80/58.69 | Combining equations (1136,1112) yields a new equation:
% 109.80/58.69 | (531) e1 = e0
% 109.80/58.69 |
% 109.80/58.69 | Equations (531) can reduce 40 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (1835) ~ (all_0_38_38 = e4)
% 109.80/58.69 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (3213), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (3208) all_0_38_38 = e3
% 109.80/58.69 |
% 109.80/58.69 | Equations (3208) can reduce 3095 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (3095) ~ (all_0_38_38 = e3)
% 109.80/58.69 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (3217), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (3218) all_0_38_38 = e2
% 109.80/58.69 |
% 109.80/58.69 | Equations (3218) can reduce 2728 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (2728) ~ (all_0_38_38 = e2)
% 109.80/58.69 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (3221), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (3222) all_0_38_38 = e1
% 109.80/58.69 |
% 109.80/58.69 | Equations (3222) can reduce 438 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (438) ~ (all_0_38_38 = e1)
% 109.80/58.69 | (3225) all_0_38_38 = e0
% 109.80/58.69 |
% 109.80/58.69 | Equations (3225) can reduce 540 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (719) ~ (all_0_35_35 = e2)
% 109.80/58.69 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 109.80/58.69 |
% 109.80/58.69 +-Applying beta-rule and splitting (735), into two cases.
% 109.80/58.69 |-Branch one:
% 109.80/58.69 | (761) all_0_35_35 = e1
% 109.80/58.69 |
% 109.80/58.69 | Equations (761) can reduce 1138 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.69 |-Branch two:
% 109.80/58.69 | (1138) ~ (all_0_35_35 = e1)
% 109.80/58.69 | (1139) all_0_35_35 = e0
% 109.80/58.69 |
% 109.80/58.69 | Equations (1139) can reduce 536 to:
% 109.80/58.69 | (400) $false
% 109.80/58.69 |
% 109.80/58.69 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (763) ~ (all_0_37_37 = e1)
% 109.80/58.70 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (5023), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (3222) all_0_38_38 = e1
% 109.80/58.70 |
% 109.80/58.70 | Equations (3222) can reduce 438 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (438) ~ (all_0_38_38 = e1)
% 109.80/58.70 | (1252) all_0_39_39 = e1
% 109.80/58.70 |
% 109.80/58.70 | Combining equations (1252,701) yields a new equation:
% 109.80/58.70 | (928) e3 = e1
% 109.80/58.70 |
% 109.80/58.70 | Equations (928) can reduce 298 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (679) ~ (all_0_15_15 = e1)
% 109.80/58.70 | (736) all_0_15_15 = e0
% 109.80/58.70 |
% 109.80/58.70 | Equations (736) can reduce 739 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (1141) ~ (all_0_18_18 = e0)
% 109.80/58.70 | (1187) all_0_19_19 = e0
% 109.80/58.70 |
% 109.80/58.70 | Equations (1187) can reduce 489 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (1800) ~ (all_0_30_30 = e3)
% 109.80/58.70 | (728) all_0_35_35 = e3
% 109.80/58.70 |
% 109.80/58.70 | Equations (728) can reduce 585 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (919) ~ (all_0_17_17 = e3)
% 109.80/58.70 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (3176), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1147) all_0_18_18 = e3
% 109.80/58.70 |
% 109.80/58.70 | Equations (1147) can reduce 1189 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (1189) ~ (all_0_18_18 = e3)
% 109.80/58.70 | (1159) all_0_19_19 = e3
% 109.80/58.70 |
% 109.80/58.70 | Equations (1159) can reduce 1150 to:
% 109.80/58.70 | (400) $false
% 109.80/58.70 |
% 109.80/58.70 |-The branch is then unsatisfiable
% 109.80/58.70 |-Branch two:
% 109.80/58.70 | (1297) all_0_15_15 = e3
% 109.80/58.70 | (24062) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 109.80/58.70 |
% 109.80/58.70 | Equations (1297) can reduce 3 to:
% 109.80/58.70 | (19172) ~ (all_0_30_30 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Simplifying 19172 yields:
% 109.80/58.70 | (1800) ~ (all_0_30_30 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Equations (1297) can reduce 39 to:
% 109.80/58.70 | (584) ~ (all_0_35_35 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Simplifying 584 yields:
% 109.80/58.70 | (585) ~ (all_0_35_35 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Equations (1297) can reduce 501 to:
% 109.80/58.70 | (558) ~ (e4 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Simplifying 558 yields:
% 109.80/58.70 | (255) ~ (e4 = e3)
% 109.80/58.70 |
% 109.80/58.70 | Equations (1297) can reduce 769 to:
% 109.80/58.70 | (52) ~ (e3 = e2)
% 109.80/58.70 |
% 109.80/58.70 | Equations (1297) can reduce 739 to:
% 109.80/58.70 | (80) ~ (e3 = e0)
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (251), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1278), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1279), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1280), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1281), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1282), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1283), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.80/58.70 |
% 109.80/58.70 +-Applying beta-rule and splitting (1284), into two cases.
% 109.80/58.70 |-Branch one:
% 109.80/58.70 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1285), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1286), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1287), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1288), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1289), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1290), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1291), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1292), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1293), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1294), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (1295), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1296) yields:
% 109.80/58.71 | (1297) all_0_15_15 = e3
% 109.80/58.71 | (550) all_0_21_21 = e4
% 109.80/58.71 | (1299) ~ (all_0_16_16 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (550,557) yields a new equation:
% 109.80/58.71 | (596) e4 = e3
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 596 yields:
% 109.80/58.71 | (597) e4 = e3
% 109.80/58.71 |
% 109.80/58.71 | Equations (597) can reduce 255 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1303) yields:
% 109.80/58.71 | (1297) all_0_15_15 = e3
% 109.80/58.71 | (550) all_0_21_21 = e4
% 109.80/58.71 | (1306) ~ (all_0_20_20 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (550,557) yields a new equation:
% 109.80/58.71 | (596) e4 = e3
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 596 yields:
% 109.80/58.71 | (597) e4 = e3
% 109.80/58.71 |
% 109.80/58.71 | Equations (597) can reduce 255 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1310) yields:
% 109.80/58.71 | (711) all_0_15_15 = e2
% 109.80/58.71 | (804) all_0_27_27 = e4
% 109.80/58.71 | (456) ~ (all_0_17_17 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (711,1297) yields a new equation:
% 109.80/58.71 | (615) e3 = e2
% 109.80/58.71 |
% 109.80/58.71 | Equations (615) can reduce 52 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1315) yields:
% 109.80/58.71 | (711) all_0_15_15 = e2
% 109.80/58.71 | (804) all_0_27_27 = e4
% 109.80/58.71 | (473) ~ (all_0_25_25 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (711,1297) yields a new equation:
% 109.80/58.71 | (615) e3 = e2
% 109.80/58.71 |
% 109.80/58.71 | Equations (615) can reduce 52 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1320) yields:
% 109.80/58.71 | (969) all_0_15_15 = e1
% 109.80/58.71 | (1322) all_0_33_33 = e4
% 109.80/58.71 | (458) ~ (all_0_18_18 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (969,1297) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1326) yields:
% 109.80/58.71 | (969) all_0_15_15 = e1
% 109.80/58.71 | (1322) all_0_33_33 = e4
% 109.80/58.71 | (417) ~ (all_0_30_30 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (969,1297) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1332) yields:
% 109.80/58.71 | (736) all_0_15_15 = e0
% 109.80/58.71 | (697) all_0_39_39 = e4
% 109.80/58.71 | (460) ~ (all_0_19_19 = e4)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (736,1297) yields a new equation:
% 109.80/58.71 | (648) e3 = e0
% 109.80/58.71 |
% 109.80/58.71 | Equations (648) can reduce 80 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1339) yields:
% 109.80/58.71 | (736) all_0_15_15 = e0
% 109.80/58.71 | (697) all_0_39_39 = e4
% 109.80/58.71 | (536) ~ (all_0_35_35 = e0)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (736,1297) yields a new equation:
% 109.80/58.71 | (648) e3 = e0
% 109.80/58.71 |
% 109.80/58.71 | Equations (648) can reduce 80 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1346) yields:
% 109.80/58.71 | (1347) all_0_21_21 = e2
% 109.80/58.71 | (808) all_0_27_27 = e3
% 109.80/58.71 | (925) ~ (all_0_22_22 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (1347,557) yields a new equation:
% 109.80/58.71 | (615) e3 = e2
% 109.80/58.71 |
% 109.80/58.71 | Equations (615) can reduce 52 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1352) yields:
% 109.80/58.71 | (1347) all_0_21_21 = e2
% 109.80/58.71 | (808) all_0_27_27 = e3
% 109.80/58.71 | (1355) ~ (all_0_26_26 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (1347,557) yields a new equation:
% 109.80/58.71 | (615) e3 = e2
% 109.80/58.71 |
% 109.80/58.71 | Equations (615) can reduce 52 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1358) yields:
% 109.80/58.71 | (1359) all_0_21_21 = e1
% 109.80/58.71 | (1360) all_0_33_33 = e3
% 109.80/58.71 | (1361) ~ (all_0_23_23 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (1359,557) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1367) yields:
% 109.80/58.71 | (1359) all_0_21_21 = e1
% 109.80/58.71 | (1360) all_0_33_33 = e3
% 109.80/58.71 | (1370) ~ (all_0_31_31 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (1359,557) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1376) yields:
% 109.80/58.71 | (519) all_0_21_21 = e0
% 109.80/58.71 | (701) all_0_39_39 = e3
% 109.80/58.71 | (1379) ~ (all_0_24_24 = e3)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (519,557) yields a new equation:
% 109.80/58.71 | (648) e3 = e0
% 109.80/58.71 |
% 109.80/58.71 | Equations (648) can reduce 80 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1385) yields:
% 109.80/58.71 | (519) all_0_21_21 = e0
% 109.80/58.71 | (701) all_0_39_39 = e3
% 109.80/58.71 | (1388) ~ (all_0_36_36 = e0)
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (519,557) yields a new equation:
% 109.80/58.71 | (648) e3 = e0
% 109.80/58.71 |
% 109.80/58.71 | Equations (648) can reduce 80 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Applying alpha-rule on (1394) yields:
% 109.80/58.71 | (816) all_0_27_27 = e1
% 109.80/58.71 | (637) all_0_33_33 = e2
% 109.80/58.71 | (477) ~ (all_0_28_28 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Equations (816) can reduce 226 to:
% 109.80/58.71 | (817) ~ (all_0_17_17 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Equations (816) can reduce 573 to:
% 109.80/58.71 | (824) ~ (e3 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 824 yields:
% 109.80/58.71 | (298) ~ (e3 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Equations (637) can reduce 105 to:
% 109.80/58.71 | (448) ~ (all_0_32_32 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Equations (637) can reduce 199 to:
% 109.80/58.71 | (2727) ~ (all_0_38_38 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 2727 yields:
% 109.80/58.71 | (2728) ~ (all_0_38_38 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Equations (637) can reduce 574 to:
% 109.80/58.71 | (643) ~ (e3 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 643 yields:
% 109.80/58.71 | (52) ~ (e3 = e2)
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (240), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (575) all_0_30_30 = e3
% 109.80/58.71 |
% 109.80/58.71 | Equations (575) can reduce 1800 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (1800) ~ (all_0_30_30 = e3)
% 109.80/58.71 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (6679), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (6724) all_0_31_31 = e3
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (414,6724) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (6728) ~ (all_0_31_31 = e3)
% 109.80/58.71 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.71 |
% 109.80/58.71 | Equations (414) can reduce 6728 to:
% 109.80/58.71 | (824) ~ (e3 = e1)
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 824 yields:
% 109.80/58.71 | (298) ~ (e3 = e1)
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (305), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (969) all_0_15_15 = e1
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (969,1297) yields a new equation:
% 109.80/58.71 | (928) e3 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (928) can reduce 298 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (679) ~ (all_0_15_15 = e1)
% 109.80/58.71 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (121), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (732) all_0_35_35 = e2
% 109.80/58.71 |
% 109.80/58.71 | Equations (732) can reduce 585 to:
% 109.80/58.71 | (643) ~ (e3 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Simplifying 643 yields:
% 109.80/58.71 | (52) ~ (e3 = e2)
% 109.80/58.71 |
% 109.80/58.71 | Equations (732) can reduce 536 to:
% 109.80/58.71 | (336) ~ (e2 = e0)
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (6729), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (629) all_0_32_32 = e3
% 109.80/58.71 |
% 109.80/58.71 +-Applying beta-rule and splitting (973), into two cases.
% 109.80/58.71 |-Branch one:
% 109.80/58.71 | (974) all_0_16_16 = e1
% 109.80/58.71 |
% 109.80/58.71 | Combining equations (974,454) yields a new equation:
% 109.80/58.71 | (838) e4 = e1
% 109.80/58.71 |
% 109.80/58.71 | Equations (838) can reduce 56 to:
% 109.80/58.71 | (400) $false
% 109.80/58.71 |
% 109.80/58.71 |-The branch is then unsatisfiable
% 109.80/58.71 |-Branch two:
% 109.80/58.71 | (415) ~ (all_0_16_16 = e1)
% 109.80/58.71 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (979), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (980) all_0_17_17 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (980) can reduce 817 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (817) ~ (all_0_17_17 = e1)
% 109.80/58.72 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (983), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (984) all_0_18_18 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (984) can reduce 428 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (428) ~ (all_0_18_18 = e1)
% 109.80/58.72 | (829) all_0_19_19 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (829) can reduce 489 to:
% 109.80/58.72 | (40) ~ (e1 = e0)
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (304), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (646) all_0_30_30 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (646) can reduce 650 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (650) ~ (all_0_30_30 = e0)
% 109.80/58.72 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (651), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (529) all_0_31_31 = e0
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (414,529) yields a new equation:
% 109.80/58.72 | (530) e1 = e0
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 530 yields:
% 109.80/58.72 | (531) e1 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (531) can reduce 40 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (533) ~ (all_0_31_31 = e0)
% 109.80/58.72 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (657), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (658) all_0_32_32 = e0
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (629,658) yields a new equation:
% 109.80/58.72 | (647) e3 = e0
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 647 yields:
% 109.80/58.72 | (648) e3 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (648) can reduce 80 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (889) ~ (all_0_32_32 = e0)
% 109.80/58.72 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (2544), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (1463) all_0_33_33 = e0
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (1463,637) yields a new equation:
% 109.80/58.72 | (525) e2 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (525) can reduce 336 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (2612) ~ (all_0_33_33 = e0)
% 109.80/58.72 | (4345) all_0_34_34 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (4345) can reduce 495 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (579) ~ (all_0_32_32 = e3)
% 109.80/58.72 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (9423), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (1360) all_0_33_33 = e3
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (637,1360) yields a new equation:
% 109.80/58.72 | (615) e3 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (615) can reduce 52 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (574) ~ (all_0_33_33 = e3)
% 109.80/58.72 | (2571) all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 | Equations (2571) can reduce 583 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (719) ~ (all_0_35_35 = e2)
% 109.80/58.72 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (1477), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (1478) all_0_36_36 = e2
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (534,1478) yields a new equation:
% 109.80/58.72 | (525) e2 = e0
% 109.80/58.72 |
% 109.80/58.72 | Equations (525) can reduce 336 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (481) ~ (all_0_36_36 = e2)
% 109.80/58.72 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (1482), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (1129) all_0_37_37 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (1129) can reduce 450 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (450) ~ (all_0_37_37 = e2)
% 109.80/58.72 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (6729), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (629) all_0_32_32 = e3
% 109.80/58.72 |
% 109.80/58.72 | Equations (629) can reduce 448 to:
% 109.80/58.72 | (52) ~ (e3 = e2)
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (4528), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (3218) all_0_38_38 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (3218) can reduce 2728 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (2728) ~ (all_0_38_38 = e2)
% 109.80/58.72 | (705) all_0_39_39 = e2
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (701,705) yields a new equation:
% 109.80/58.72 | (614) e3 = e2
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 614 yields:
% 109.80/58.72 | (615) e3 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (615) can reduce 52 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (579) ~ (all_0_32_32 = e3)
% 109.80/58.72 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (9423), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (1360) all_0_33_33 = e3
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (1360,637) yields a new equation:
% 109.80/58.72 | (614) e3 = e2
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 614 yields:
% 109.80/58.72 | (615) e3 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (615) can reduce 52 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (574) ~ (all_0_33_33 = e3)
% 109.80/58.72 | (2571) all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 | Equations (2571) can reduce 583 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Applying alpha-rule on (1421) yields:
% 109.80/58.72 | (816) all_0_27_27 = e1
% 109.80/58.72 | (637) all_0_33_33 = e2
% 109.80/58.72 | (419) ~ (all_0_32_32 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Equations (816) can reduce 226 to:
% 109.80/58.72 | (817) ~ (all_0_17_17 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Equations (816) can reduce 573 to:
% 109.80/58.72 | (824) ~ (e3 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 824 yields:
% 109.80/58.72 | (298) ~ (e3 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Equations (637) can reduce 105 to:
% 109.80/58.72 | (448) ~ (all_0_32_32 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Equations (637) can reduce 199 to:
% 109.80/58.72 | (2727) ~ (all_0_38_38 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 2727 yields:
% 109.80/58.72 | (2728) ~ (all_0_38_38 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Equations (637) can reduce 574 to:
% 109.80/58.72 | (643) ~ (e3 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 643 yields:
% 109.80/58.72 | (52) ~ (e3 = e2)
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (240), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (575) all_0_30_30 = e3
% 109.80/58.72 |
% 109.80/58.72 | Equations (575) can reduce 1800 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (1800) ~ (all_0_30_30 = e3)
% 109.80/58.72 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (6679), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (6724) all_0_31_31 = e3
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (414,6724) yields a new equation:
% 109.80/58.72 | (928) e3 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (928) can reduce 298 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (6728) ~ (all_0_31_31 = e3)
% 109.80/58.72 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.72 |
% 109.80/58.72 | Equations (414) can reduce 6728 to:
% 109.80/58.72 | (824) ~ (e3 = e1)
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 824 yields:
% 109.80/58.72 | (298) ~ (e3 = e1)
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (305), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (969) all_0_15_15 = e1
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (969,1297) yields a new equation:
% 109.80/58.72 | (928) e3 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (928) can reduce 298 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (679) ~ (all_0_15_15 = e1)
% 109.80/58.72 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (121), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (732) all_0_35_35 = e2
% 109.80/58.72 |
% 109.80/58.72 | Equations (732) can reduce 585 to:
% 109.80/58.72 | (643) ~ (e3 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Simplifying 643 yields:
% 109.80/58.72 | (52) ~ (e3 = e2)
% 109.80/58.72 |
% 109.80/58.72 | Equations (732) can reduce 536 to:
% 109.80/58.72 | (336) ~ (e2 = e0)
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (6729), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (629) all_0_32_32 = e3
% 109.80/58.72 |
% 109.80/58.72 +-Applying beta-rule and splitting (973), into two cases.
% 109.80/58.72 |-Branch one:
% 109.80/58.72 | (974) all_0_16_16 = e1
% 109.80/58.72 |
% 109.80/58.72 | Combining equations (974,454) yields a new equation:
% 109.80/58.72 | (838) e4 = e1
% 109.80/58.72 |
% 109.80/58.72 | Equations (838) can reduce 56 to:
% 109.80/58.72 | (400) $false
% 109.80/58.72 |
% 109.80/58.72 |-The branch is then unsatisfiable
% 109.80/58.72 |-Branch two:
% 109.80/58.72 | (415) ~ (all_0_16_16 = e1)
% 109.80/58.72 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.72 |
% 109.80/58.73 +-Applying beta-rule and splitting (979), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (980) all_0_17_17 = e1
% 109.80/58.73 |
% 109.80/58.73 | Equations (980) can reduce 817 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (817) ~ (all_0_17_17 = e1)
% 109.80/58.73 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (983), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (984) all_0_18_18 = e1
% 109.80/58.73 |
% 109.80/58.73 | Equations (984) can reduce 428 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (428) ~ (all_0_18_18 = e1)
% 109.80/58.73 | (829) all_0_19_19 = e1
% 109.80/58.73 |
% 109.80/58.73 | Equations (829) can reduce 489 to:
% 109.80/58.73 | (40) ~ (e1 = e0)
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (304), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (646) all_0_30_30 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (646) can reduce 650 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (650) ~ (all_0_30_30 = e0)
% 109.80/58.73 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (651), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (529) all_0_31_31 = e0
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (414,529) yields a new equation:
% 109.80/58.73 | (530) e1 = e0
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 530 yields:
% 109.80/58.73 | (531) e1 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (531) can reduce 40 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (533) ~ (all_0_31_31 = e0)
% 109.80/58.73 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (657), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (658) all_0_32_32 = e0
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (629,658) yields a new equation:
% 109.80/58.73 | (647) e3 = e0
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 647 yields:
% 109.80/58.73 | (648) e3 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (648) can reduce 80 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (889) ~ (all_0_32_32 = e0)
% 109.80/58.73 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (2544), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (1463) all_0_33_33 = e0
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (1463,637) yields a new equation:
% 109.80/58.73 | (525) e2 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (525) can reduce 336 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (2612) ~ (all_0_33_33 = e0)
% 109.80/58.73 | (4345) all_0_34_34 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (4345) can reduce 495 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (579) ~ (all_0_32_32 = e3)
% 109.80/58.73 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (9423), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (1360) all_0_33_33 = e3
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (637,1360) yields a new equation:
% 109.80/58.73 | (615) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (615) can reduce 52 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (574) ~ (all_0_33_33 = e3)
% 109.80/58.73 | (2571) all_0_34_34 = e3
% 109.80/58.73 |
% 109.80/58.73 | Equations (2571) can reduce 583 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (719) ~ (all_0_35_35 = e2)
% 109.80/58.73 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (1477), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (1478) all_0_36_36 = e2
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (534,1478) yields a new equation:
% 109.80/58.73 | (525) e2 = e0
% 109.80/58.73 |
% 109.80/58.73 | Equations (525) can reduce 336 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (481) ~ (all_0_36_36 = e2)
% 109.80/58.73 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (1482), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (1129) all_0_37_37 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (1129) can reduce 450 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (450) ~ (all_0_37_37 = e2)
% 109.80/58.73 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (6729), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (629) all_0_32_32 = e3
% 109.80/58.73 |
% 109.80/58.73 | Equations (629) can reduce 448 to:
% 109.80/58.73 | (52) ~ (e3 = e2)
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (4528), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (3218) all_0_38_38 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (3218) can reduce 2728 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (2728) ~ (all_0_38_38 = e2)
% 109.80/58.73 | (705) all_0_39_39 = e2
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (701,705) yields a new equation:
% 109.80/58.73 | (614) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 614 yields:
% 109.80/58.73 | (615) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (615) can reduce 52 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (579) ~ (all_0_32_32 = e3)
% 109.80/58.73 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 109.80/58.73 |
% 109.80/58.73 +-Applying beta-rule and splitting (9423), into two cases.
% 109.80/58.73 |-Branch one:
% 109.80/58.73 | (1360) all_0_33_33 = e3
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (1360,637) yields a new equation:
% 109.80/58.73 | (614) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 614 yields:
% 109.80/58.73 | (615) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (615) can reduce 52 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (574) ~ (all_0_33_33 = e3)
% 109.80/58.73 | (2571) all_0_34_34 = e3
% 109.80/58.73 |
% 109.80/58.73 | Equations (2571) can reduce 583 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.80/58.73 |
% 109.80/58.73 | Applying alpha-rule on (1448) yields:
% 109.80/58.73 | (995) all_0_27_27 = e0
% 109.80/58.73 | (705) all_0_39_39 = e2
% 109.80/58.73 | (479) ~ (all_0_29_29 = e2)
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (701,705) yields a new equation:
% 109.80/58.73 | (614) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 614 yields:
% 109.80/58.73 | (615) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (615) can reduce 52 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.80/58.73 |
% 109.80/58.73 | Applying alpha-rule on (1455) yields:
% 109.80/58.73 | (995) all_0_27_27 = e0
% 109.80/58.73 | (705) all_0_39_39 = e2
% 109.80/58.73 | (538) ~ (all_0_37_37 = e0)
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (701,705) yields a new equation:
% 109.80/58.73 | (614) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 614 yields:
% 109.80/58.73 | (615) e3 = e2
% 109.80/58.73 |
% 109.80/58.73 | Equations (615) can reduce 52 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.80/58.73 |
% 109.80/58.73 | Applying alpha-rule on (1462) yields:
% 109.80/58.73 | (1463) all_0_33_33 = e0
% 109.80/58.73 | (1252) all_0_39_39 = e1
% 109.80/58.73 | (421) ~ (all_0_34_34 = e1)
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (701,1252) yields a new equation:
% 109.80/58.73 | (1113) e3 = e1
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 1113 yields:
% 109.80/58.73 | (928) e3 = e1
% 109.80/58.73 |
% 109.80/58.73 | Equations (928) can reduce 298 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.80/58.73 |
% 109.80/58.73 | Applying alpha-rule on (1469) yields:
% 109.80/58.73 | (1463) all_0_33_33 = e0
% 109.80/58.73 | (1252) all_0_39_39 = e1
% 109.80/58.73 | (540) ~ (all_0_38_38 = e0)
% 109.80/58.73 |
% 109.80/58.73 | Combining equations (701,1252) yields a new equation:
% 109.80/58.73 | (1113) e3 = e1
% 109.80/58.73 |
% 109.80/58.73 | Simplifying 1113 yields:
% 109.80/58.73 | (928) e3 = e1
% 109.80/58.73 |
% 109.80/58.73 | Equations (928) can reduce 298 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.73 |-Branch two:
% 109.80/58.73 | (893) ~ (all_0_28_28 = e3)
% 109.80/58.73 | (3056) all_0_29_29 = e3
% 109.80/58.73 |
% 109.80/58.73 | Equations (3056) can reduce 3115 to:
% 109.80/58.73 | (400) $false
% 109.80/58.73 |
% 109.80/58.73 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (808) all_0_27_27 = e3
% 109.80/58.74 | (21126) (all_0_7_7 = all_0_26_26 & ~ (all_0_6_6 = e4) & op(all_0_26_26, e2) = all_0_6_6) | (all_0_7_7 = all_0_26_26 & ~ (all_0_26_26 = e0)) | (all_0_8_8 = all_0_22_22 & ~ (all_0_22_22 = e1))
% 109.80/58.74 |
% 109.80/58.74 | Equations (808) can reduce 337 to:
% 109.80/58.74 | (7483) ~ (all_0_28_28 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 7483 yields:
% 109.80/58.74 | (893) ~ (all_0_28_28 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Equations (808) can reduce 167 to:
% 109.80/58.74 | (6232) ~ (all_0_37_37 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 6232 yields:
% 109.80/58.74 | (1127) ~ (all_0_37_37 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Equations (808) can reduce 475 to:
% 109.80/58.74 | (52) ~ (e3 = e2)
% 109.80/58.74 |
% 109.80/58.74 | Equations (808) can reduce 660 to:
% 109.80/58.74 | (80) ~ (e3 = e0)
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (251), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1278), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1279), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1280), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1281), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1282), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1283), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1284), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1285), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1286), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1287), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1288), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1289), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1290), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1291), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1292), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1293), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1294), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (1295), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Applying alpha-rule on (1296) yields:
% 109.80/58.74 | (1297) all_0_15_15 = e3
% 109.80/58.74 | (550) all_0_21_21 = e4
% 109.80/58.74 | (1299) ~ (all_0_16_16 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Combining equations (550,557) yields a new equation:
% 109.80/58.74 | (596) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 596 yields:
% 109.80/58.74 | (597) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Equations (597) can reduce 255 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Applying alpha-rule on (1303) yields:
% 109.80/58.74 | (1297) all_0_15_15 = e3
% 109.80/58.74 | (550) all_0_21_21 = e4
% 109.80/58.74 | (1306) ~ (all_0_20_20 = e3)
% 109.80/58.74 |
% 109.80/58.74 | Combining equations (550,557) yields a new equation:
% 109.80/58.74 | (596) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 596 yields:
% 109.80/58.74 | (597) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Equations (597) can reduce 255 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Applying alpha-rule on (1310) yields:
% 109.80/58.74 | (711) all_0_15_15 = e2
% 109.80/58.74 | (804) all_0_27_27 = e4
% 109.80/58.74 | (456) ~ (all_0_17_17 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Combining equations (808,804) yields a new equation:
% 109.80/58.74 | (597) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Equations (597) can reduce 255 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.80/58.74 |
% 109.80/58.74 | Applying alpha-rule on (1315) yields:
% 109.80/58.74 | (711) all_0_15_15 = e2
% 109.80/58.74 | (804) all_0_27_27 = e4
% 109.80/58.74 | (473) ~ (all_0_25_25 = e2)
% 109.80/58.74 |
% 109.80/58.74 | Combining equations (808,804) yields a new equation:
% 109.80/58.74 | (597) e4 = e3
% 109.80/58.74 |
% 109.80/58.74 | Equations (597) can reduce 255 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Applying alpha-rule on (1320) yields:
% 109.80/58.74 | (969) all_0_15_15 = e1
% 109.80/58.74 | (1322) all_0_33_33 = e4
% 109.80/58.74 | (458) ~ (all_0_18_18 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Equations (969) can reduce 319 to:
% 109.80/58.74 | (3853) ~ (all_0_19_19 = e1)
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 3853 yields:
% 109.80/58.74 | (943) ~ (all_0_19_19 = e1)
% 109.80/58.74 |
% 109.80/58.74 | Equations (969) can reduce 39 to:
% 109.80/58.74 | (3855) ~ (all_0_35_35 = e1)
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 3855 yields:
% 109.80/58.74 | (1138) ~ (all_0_35_35 = e1)
% 109.80/58.74 |
% 109.80/58.74 | Equations (969) can reduce 739 to:
% 109.80/58.74 | (40) ~ (e1 = e0)
% 109.80/58.74 |
% 109.80/58.74 | Equations (1322) can reduce 33 to:
% 109.80/58.74 | (458) ~ (all_0_18_18 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Equations (1322) can reduce 105 to:
% 109.80/58.74 | (604) ~ (all_0_32_32 = e4)
% 109.80/58.74 |
% 109.80/58.74 | Equations (1322) can reduce 436 to:
% 109.80/58.74 | (56) ~ (e4 = e1)
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (236), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (609) all_0_32_32 = e4
% 109.80/58.74 |
% 109.80/58.74 | Equations (609) can reduce 604 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (604) ~ (all_0_32_32 = e4)
% 109.80/58.74 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (332), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1151) all_0_19_19 = e4
% 109.80/58.74 |
% 109.80/58.74 | Equations (1151) can reduce 460 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (460) ~ (all_0_19_19 = e4)
% 109.80/58.74 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (148), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (761) all_0_35_35 = e1
% 109.80/58.74 |
% 109.80/58.74 | Equations (761) can reduce 1138 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (1138) ~ (all_0_35_35 = e1)
% 109.80/58.74 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (4931), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (4950) all_0_36_36 = e1
% 109.80/58.74 |
% 109.80/58.74 | Combining equations (534,4950) yields a new equation:
% 109.80/58.74 | (531) e1 = e0
% 109.80/58.74 |
% 109.80/58.74 | Equations (531) can reduce 40 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (423) ~ (all_0_36_36 = e1)
% 109.80/58.74 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (262), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (829) all_0_19_19 = e1
% 109.80/58.74 |
% 109.80/58.74 | Equations (829) can reduce 943 to:
% 109.80/58.74 | (400) $false
% 109.80/58.74 |
% 109.80/58.74 |-The branch is then unsatisfiable
% 109.80/58.74 |-Branch two:
% 109.80/58.74 | (943) ~ (all_0_19_19 = e1)
% 109.80/58.74 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.80/58.74 |
% 109.80/58.74 +-Applying beta-rule and splitting (4955), into two cases.
% 109.80/58.74 |-Branch one:
% 109.80/58.74 | (1112) all_0_37_37 = e1
% 109.80/58.74 |
% 109.80/58.74 | Equations (1112) can reduce 1127 to:
% 109.80/58.74 | (824) ~ (e3 = e1)
% 109.80/58.74 |
% 109.80/58.74 | Simplifying 824 yields:
% 109.80/58.74 | (298) ~ (e3 = e1)
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (102), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (1147) all_0_18_18 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (1147) can reduce 172 to:
% 109.80/58.75 | (1149) ~ (all_0_19_19 = e3)
% 109.80/58.75 |
% 109.80/58.75 | Simplifying 1149 yields:
% 109.80/58.75 | (1150) ~ (all_0_19_19 = e3)
% 109.80/58.75 |
% 109.80/58.75 | Equations (1147) can reduce 458 to:
% 109.80/58.75 | (558) ~ (e4 = e3)
% 109.80/58.75 |
% 109.80/58.75 | Simplifying 558 yields:
% 109.80/58.75 | (255) ~ (e4 = e3)
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (1154), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (1159) all_0_19_19 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (1159) can reduce 1150 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (1150) ~ (all_0_19_19 = e3)
% 109.80/58.75 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (1162), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (1163) all_0_19_19 = e2
% 109.80/58.75 |
% 109.80/58.75 | Equations (1163) can reduce 460 to:
% 109.80/58.75 | (482) ~ (e4 = e2)
% 109.80/58.75 |
% 109.80/58.75 | Simplifying 482 yields:
% 109.80/58.75 | (21) ~ (e4 = e2)
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (51), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (793) all_0_17_17 = e4
% 109.80/58.75 |
% 109.80/58.75 | Equations (793) can reduce 456 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (456) ~ (all_0_17_17 = e4)
% 109.80/58.75 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (796), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (797) all_0_22_22 = e4
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (442,797) yields a new equation:
% 109.80/58.75 | (798) e4 = e2
% 109.80/58.75 |
% 109.80/58.75 | Equations (798) can reduce 21 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (800) ~ (all_0_22_22 = e4)
% 109.80/58.75 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (801), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (804) all_0_27_27 = e4
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (808,804) yields a new equation:
% 109.80/58.75 | (597) e4 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (597) can reduce 255 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (785) ~ (all_0_27_27 = e4)
% 109.80/58.75 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (841), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (609) all_0_32_32 = e4
% 109.80/58.75 |
% 109.80/58.75 | Equations (609) can reduce 604 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (604) ~ (all_0_32_32 = e4)
% 109.80/58.75 | (847) all_0_37_37 = e4
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (1112,847) yields a new equation:
% 109.80/58.75 | (838) e4 = e1
% 109.80/58.75 |
% 109.80/58.75 | Equations (838) can reduce 56 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (706) ~ (all_0_19_19 = e2)
% 109.80/58.75 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (1166), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (829) all_0_19_19 = e1
% 109.80/58.75 |
% 109.80/58.75 | Equations (829) can reduce 943 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (943) ~ (all_0_19_19 = e1)
% 109.80/58.75 | (1187) all_0_19_19 = e0
% 109.80/58.75 |
% 109.80/58.75 | Equations (1187) can reduce 489 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (1189) ~ (all_0_18_18 = e3)
% 109.80/58.75 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (1742), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (3107) all_0_23_23 = e3
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (427,3107) yields a new equation:
% 109.80/58.75 | (928) e3 = e1
% 109.80/58.75 |
% 109.80/58.75 | Equations (928) can reduce 298 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (1361) ~ (all_0_23_23 = e3)
% 109.80/58.75 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (3112), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (1106) all_0_28_28 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (1106) can reduce 893 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (893) ~ (all_0_28_28 = e3)
% 109.80/58.75 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (3201), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (1360) all_0_33_33 = e3
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (1322,1360) yields a new equation:
% 109.80/58.75 | (596) e4 = e3
% 109.80/58.75 |
% 109.80/58.75 | Simplifying 596 yields:
% 109.80/58.75 | (597) e4 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (597) can reduce 255 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (574) ~ (all_0_33_33 = e3)
% 109.80/58.75 | (3208) all_0_38_38 = e3
% 109.80/58.75 |
% 109.80/58.75 | Equations (3208) can reduce 3095 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (763) ~ (all_0_37_37 = e1)
% 109.80/58.75 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.80/58.75 |
% 109.80/58.75 +-Applying beta-rule and splitting (5023), into two cases.
% 109.80/58.75 |-Branch one:
% 109.80/58.75 | (3222) all_0_38_38 = e1
% 109.80/58.75 |
% 109.80/58.75 | Equations (3222) can reduce 438 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.80/58.75 |-Branch two:
% 109.80/58.75 | (438) ~ (all_0_38_38 = e1)
% 109.80/58.75 | (1252) all_0_39_39 = e1
% 109.80/58.75 |
% 109.80/58.75 | Combining equations (701,1252) yields a new equation:
% 109.80/58.75 | (1113) e3 = e1
% 109.80/58.75 |
% 109.80/58.75 | Simplifying 1113 yields:
% 109.80/58.75 | (928) e3 = e1
% 109.80/58.75 |
% 109.80/58.75 | Equations (928) can reduce 298 to:
% 109.80/58.75 | (400) $false
% 109.80/58.75 |
% 109.80/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Applying alpha-rule on (1326) yields:
% 109.86/58.75 | (969) all_0_15_15 = e1
% 109.86/58.75 | (1322) all_0_33_33 = e4
% 109.86/58.75 | (417) ~ (all_0_30_30 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Equations (969) can reduce 319 to:
% 109.86/58.75 | (3853) ~ (all_0_19_19 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 3853 yields:
% 109.86/58.75 | (943) ~ (all_0_19_19 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Equations (969) can reduce 39 to:
% 109.86/58.75 | (3855) ~ (all_0_35_35 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 3855 yields:
% 109.86/58.75 | (1138) ~ (all_0_35_35 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Equations (969) can reduce 739 to:
% 109.86/58.75 | (40) ~ (e1 = e0)
% 109.86/58.75 |
% 109.86/58.75 | Equations (1322) can reduce 33 to:
% 109.86/58.75 | (458) ~ (all_0_18_18 = e4)
% 109.86/58.75 |
% 109.86/58.75 | Equations (1322) can reduce 105 to:
% 109.86/58.75 | (604) ~ (all_0_32_32 = e4)
% 109.86/58.75 |
% 109.86/58.75 | Equations (1322) can reduce 436 to:
% 109.86/58.75 | (56) ~ (e4 = e1)
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (236), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (609) all_0_32_32 = e4
% 109.86/58.75 |
% 109.86/58.75 | Equations (609) can reduce 604 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (604) ~ (all_0_32_32 = e4)
% 109.86/58.75 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (332), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (1151) all_0_19_19 = e4
% 109.86/58.75 |
% 109.86/58.75 | Equations (1151) can reduce 460 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (460) ~ (all_0_19_19 = e4)
% 109.86/58.75 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (148), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (761) all_0_35_35 = e1
% 109.86/58.75 |
% 109.86/58.75 | Equations (761) can reduce 1138 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (1138) ~ (all_0_35_35 = e1)
% 109.86/58.75 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (4931), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (4950) all_0_36_36 = e1
% 109.86/58.75 |
% 109.86/58.75 | Combining equations (534,4950) yields a new equation:
% 109.86/58.75 | (531) e1 = e0
% 109.86/58.75 |
% 109.86/58.75 | Equations (531) can reduce 40 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (423) ~ (all_0_36_36 = e1)
% 109.86/58.75 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (262), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (829) all_0_19_19 = e1
% 109.86/58.75 |
% 109.86/58.75 | Equations (829) can reduce 943 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (943) ~ (all_0_19_19 = e1)
% 109.86/58.75 | (944) all_0_24_24 = e1 | all_0_29_29 = e1 | all_0_34_34 = e1 | all_0_39_39 = e1
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (4955), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (1112) all_0_37_37 = e1
% 109.86/58.75 |
% 109.86/58.75 | Equations (1112) can reduce 1127 to:
% 109.86/58.75 | (824) ~ (e3 = e1)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 824 yields:
% 109.86/58.75 | (298) ~ (e3 = e1)
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (102), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (1147) all_0_18_18 = e3
% 109.86/58.75 |
% 109.86/58.75 | Equations (1147) can reduce 172 to:
% 109.86/58.75 | (1149) ~ (all_0_19_19 = e3)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 1149 yields:
% 109.86/58.75 | (1150) ~ (all_0_19_19 = e3)
% 109.86/58.75 |
% 109.86/58.75 | Equations (1147) can reduce 458 to:
% 109.86/58.75 | (558) ~ (e4 = e3)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 558 yields:
% 109.86/58.75 | (255) ~ (e4 = e3)
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (1154), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (1159) all_0_19_19 = e3
% 109.86/58.75 |
% 109.86/58.75 | Equations (1159) can reduce 1150 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (1150) ~ (all_0_19_19 = e3)
% 109.86/58.75 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (1162), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (1163) all_0_19_19 = e2
% 109.86/58.75 |
% 109.86/58.75 | Equations (1163) can reduce 460 to:
% 109.86/58.75 | (482) ~ (e4 = e2)
% 109.86/58.75 |
% 109.86/58.75 | Simplifying 482 yields:
% 109.86/58.75 | (21) ~ (e4 = e2)
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (51), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (793) all_0_17_17 = e4
% 109.86/58.75 |
% 109.86/58.75 | Equations (793) can reduce 456 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (456) ~ (all_0_17_17 = e4)
% 109.86/58.75 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (796), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (797) all_0_22_22 = e4
% 109.86/58.75 |
% 109.86/58.75 | Combining equations (442,797) yields a new equation:
% 109.86/58.75 | (798) e4 = e2
% 109.86/58.75 |
% 109.86/58.75 | Equations (798) can reduce 21 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (800) ~ (all_0_22_22 = e4)
% 109.86/58.75 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (801), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (804) all_0_27_27 = e4
% 109.86/58.75 |
% 109.86/58.75 | Combining equations (808,804) yields a new equation:
% 109.86/58.75 | (597) e4 = e3
% 109.86/58.75 |
% 109.86/58.75 | Equations (597) can reduce 255 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (785) ~ (all_0_27_27 = e4)
% 109.86/58.75 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (841), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (609) all_0_32_32 = e4
% 109.86/58.75 |
% 109.86/58.75 | Equations (609) can reduce 604 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (604) ~ (all_0_32_32 = e4)
% 109.86/58.75 | (847) all_0_37_37 = e4
% 109.86/58.75 |
% 109.86/58.75 | Combining equations (1112,847) yields a new equation:
% 109.86/58.75 | (838) e4 = e1
% 109.86/58.75 |
% 109.86/58.75 | Equations (838) can reduce 56 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.75 | (706) ~ (all_0_19_19 = e2)
% 109.86/58.75 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 109.86/58.75 |
% 109.86/58.75 +-Applying beta-rule and splitting (1166), into two cases.
% 109.86/58.75 |-Branch one:
% 109.86/58.75 | (829) all_0_19_19 = e1
% 109.86/58.75 |
% 109.86/58.75 | Equations (829) can reduce 943 to:
% 109.86/58.75 | (400) $false
% 109.86/58.75 |
% 109.86/58.75 |-The branch is then unsatisfiable
% 109.86/58.75 |-Branch two:
% 109.86/58.76 | (943) ~ (all_0_19_19 = e1)
% 109.86/58.76 | (1187) all_0_19_19 = e0
% 109.86/58.76 |
% 109.86/58.76 | Equations (1187) can reduce 489 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1189) ~ (all_0_18_18 = e3)
% 109.86/58.76 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.86/58.76 |
% 109.86/58.76 +-Applying beta-rule and splitting (1742), into two cases.
% 109.86/58.76 |-Branch one:
% 109.86/58.76 | (3107) all_0_23_23 = e3
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (427,3107) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1361) ~ (all_0_23_23 = e3)
% 109.86/58.76 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.86/58.76 |
% 109.86/58.76 +-Applying beta-rule and splitting (3112), into two cases.
% 109.86/58.76 |-Branch one:
% 109.86/58.76 | (1106) all_0_28_28 = e3
% 109.86/58.76 |
% 109.86/58.76 | Equations (1106) can reduce 893 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (893) ~ (all_0_28_28 = e3)
% 109.86/58.76 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 109.86/58.76 |
% 109.86/58.76 +-Applying beta-rule and splitting (3201), into two cases.
% 109.86/58.76 |-Branch one:
% 109.86/58.76 | (1360) all_0_33_33 = e3
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1322,1360) yields a new equation:
% 109.86/58.76 | (596) e4 = e3
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 596 yields:
% 109.86/58.76 | (597) e4 = e3
% 109.86/58.76 |
% 109.86/58.76 | Equations (597) can reduce 255 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (574) ~ (all_0_33_33 = e3)
% 109.86/58.76 | (3208) all_0_38_38 = e3
% 109.86/58.76 |
% 109.86/58.76 | Equations (3208) can reduce 3095 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (763) ~ (all_0_37_37 = e1)
% 109.86/58.76 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.86/58.76 |
% 109.86/58.76 +-Applying beta-rule and splitting (5023), into two cases.
% 109.86/58.76 |-Branch one:
% 109.86/58.76 | (3222) all_0_38_38 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (3222) can reduce 438 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (438) ~ (all_0_38_38 = e1)
% 109.86/58.76 | (1252) all_0_39_39 = e1
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (701,1252) yields a new equation:
% 109.86/58.76 | (1113) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 1113 yields:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1332) yields:
% 109.86/58.76 | (736) all_0_15_15 = e0
% 109.86/58.76 | (697) all_0_39_39 = e4
% 109.86/58.76 | (460) ~ (all_0_19_19 = e4)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (701,697) yields a new equation:
% 109.86/58.76 | (597) e4 = e3
% 109.86/58.76 |
% 109.86/58.76 | Equations (597) can reduce 255 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1339) yields:
% 109.86/58.76 | (736) all_0_15_15 = e0
% 109.86/58.76 | (697) all_0_39_39 = e4
% 109.86/58.76 | (536) ~ (all_0_35_35 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (701,697) yields a new equation:
% 109.86/58.76 | (597) e4 = e3
% 109.86/58.76 |
% 109.86/58.76 | Equations (597) can reduce 255 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1346) yields:
% 109.86/58.76 | (1347) all_0_21_21 = e2
% 109.86/58.76 | (808) all_0_27_27 = e3
% 109.86/58.76 | (925) ~ (all_0_22_22 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1347,557) yields a new equation:
% 109.86/58.76 | (615) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Equations (615) can reduce 52 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1352) yields:
% 109.86/58.76 | (1347) all_0_21_21 = e2
% 109.86/58.76 | (808) all_0_27_27 = e3
% 109.86/58.76 | (1355) ~ (all_0_26_26 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1347,557) yields a new equation:
% 109.86/58.76 | (615) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Equations (615) can reduce 52 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1358) yields:
% 109.86/58.76 | (1359) all_0_21_21 = e1
% 109.86/58.76 | (1360) all_0_33_33 = e3
% 109.86/58.76 | (1361) ~ (all_0_23_23 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1359,557) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1367) yields:
% 109.86/58.76 | (1359) all_0_21_21 = e1
% 109.86/58.76 | (1360) all_0_33_33 = e3
% 109.86/58.76 | (1370) ~ (all_0_31_31 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1359,557) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1376) yields:
% 109.86/58.76 | (519) all_0_21_21 = e0
% 109.86/58.76 | (701) all_0_39_39 = e3
% 109.86/58.76 | (1379) ~ (all_0_24_24 = e3)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (519,557) yields a new equation:
% 109.86/58.76 | (648) e3 = e0
% 109.86/58.76 |
% 109.86/58.76 | Equations (648) can reduce 80 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1385) yields:
% 109.86/58.76 | (519) all_0_21_21 = e0
% 109.86/58.76 | (701) all_0_39_39 = e3
% 109.86/58.76 | (1388) ~ (all_0_36_36 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (519,557) yields a new equation:
% 109.86/58.76 | (648) e3 = e0
% 109.86/58.76 |
% 109.86/58.76 | Equations (648) can reduce 80 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1394) yields:
% 109.86/58.76 | (816) all_0_27_27 = e1
% 109.86/58.76 | (637) all_0_33_33 = e2
% 109.86/58.76 | (477) ~ (all_0_28_28 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (816,808) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1421) yields:
% 109.86/58.76 | (816) all_0_27_27 = e1
% 109.86/58.76 | (637) all_0_33_33 = e2
% 109.86/58.76 | (419) ~ (all_0_32_32 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (816,808) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1448) yields:
% 109.86/58.76 | (995) all_0_27_27 = e0
% 109.86/58.76 | (705) all_0_39_39 = e2
% 109.86/58.76 | (479) ~ (all_0_29_29 = e2)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (995,808) yields a new equation:
% 109.86/58.76 | (648) e3 = e0
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (701,705) yields a new equation:
% 109.86/58.76 | (614) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 614 yields:
% 109.86/58.76 | (615) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (615,648) yields a new equation:
% 109.86/58.76 | (524) e2 = e0
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 524 yields:
% 109.86/58.76 | (525) e2 = e0
% 109.86/58.76 |
% 109.86/58.76 | Equations (525) can reduce 336 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1455) yields:
% 109.86/58.76 | (995) all_0_27_27 = e0
% 109.86/58.76 | (705) all_0_39_39 = e2
% 109.86/58.76 | (538) ~ (all_0_37_37 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (995,808) yields a new equation:
% 109.86/58.76 | (648) e3 = e0
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (701,705) yields a new equation:
% 109.86/58.76 | (614) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 614 yields:
% 109.86/58.76 | (615) e3 = e2
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (615,648) yields a new equation:
% 109.86/58.76 | (524) e2 = e0
% 109.86/58.76 |
% 109.86/58.76 | Simplifying 524 yields:
% 109.86/58.76 | (525) e2 = e0
% 109.86/58.76 |
% 109.86/58.76 | Equations (525) can reduce 336 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1462) yields:
% 109.86/58.76 | (1463) all_0_33_33 = e0
% 109.86/58.76 | (1252) all_0_39_39 = e1
% 109.86/58.76 | (421) ~ (all_0_34_34 = e1)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1252,701) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Applying alpha-rule on (1469) yields:
% 109.86/58.76 | (1463) all_0_33_33 = e0
% 109.86/58.76 | (1252) all_0_39_39 = e1
% 109.86/58.76 | (540) ~ (all_0_38_38 = e0)
% 109.86/58.76 |
% 109.86/58.76 | Combining equations (1252,701) yields a new equation:
% 109.86/58.76 | (928) e3 = e1
% 109.86/58.76 |
% 109.86/58.76 | Equations (928) can reduce 298 to:
% 109.86/58.76 | (400) $false
% 109.86/58.76 |
% 109.86/58.76 |-The branch is then unsatisfiable
% 109.86/58.76 |-Branch two:
% 109.86/58.76 | (711) all_0_15_15 = e2
% 109.86/58.76 | (776) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e3)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 109.86/58.77 |
% 109.86/58.77 | Equations (711) can reduce 3 to:
% 109.86/58.77 | (19674) ~ (all_0_30_30 = e2)
% 109.86/58.77 |
% 109.86/58.77 | Simplifying 19674 yields:
% 109.86/58.77 | (617) ~ (all_0_30_30 = e2)
% 109.86/58.77 |
% 109.86/58.77 +-Applying beta-rule and splitting (114), into two cases.
% 109.86/58.77 |-Branch one:
% 109.86/58.77 | (969) all_0_15_15 = e1
% 109.86/58.77 |
% 109.86/58.77 | Combining equations (969,711) yields a new equation:
% 109.86/58.77 | (621) e2 = e1
% 109.86/58.77 |
% 109.86/58.77 | Equations (621) can reduce 310 to:
% 109.86/58.77 | (400) $false
% 109.86/58.77 |
% 109.86/58.77 |-The branch is then unsatisfiable
% 109.86/58.77 |-Branch two:
% 109.86/58.77 | (679) ~ (all_0_15_15 = e1)
% 109.86/58.77 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.86/58.77 |
% 109.86/58.77 +-Applying beta-rule and splitting (1402), into two cases.
% 109.86/58.77 |-Branch one:
% 109.86/58.77 | (1490) all_0_20_20 = e1
% 109.86/58.77 |
% 109.86/58.77 | Combining equations (1490,500) yields a new equation:
% 109.86/58.77 | (838) e4 = e1
% 109.86/58.77 |
% 109.86/58.77 | Equations (838) can reduce 56 to:
% 109.86/58.77 | (400) $false
% 109.86/58.77 |
% 109.86/58.77 |-The branch is then unsatisfiable
% 109.86/58.77 |-Branch two:
% 109.86/58.77 | (429) ~ (all_0_20_20 = e1)
% 109.86/58.77 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 109.86/58.77 |
% 109.86/58.77 +-Applying beta-rule and splitting (1494), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1495) all_0_25_25 = e1
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (749,1495) yields a new equation:
% 109.88/58.77 | (531) e1 = e0
% 109.88/58.77 |
% 109.88/58.77 | Equations (531) can reduce 40 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (1519) ~ (all_0_25_25 = e1)
% 109.88/58.77 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (232), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1297) all_0_15_15 = e3
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (1297,711) yields a new equation:
% 109.88/58.77 | (614) e3 = e2
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 614 yields:
% 109.88/58.77 | (615) e3 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (615) can reduce 52 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (572) ~ (all_0_15_15 = e3)
% 109.88/58.77 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1520), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1521) all_0_30_30 = e1
% 109.88/58.77 |
% 109.88/58.77 | Equations (1521) can reduce 417 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (417) ~ (all_0_30_30 = e1)
% 109.88/58.77 | (761) all_0_35_35 = e1
% 109.88/58.77 |
% 109.88/58.77 | Equations (761) can reduce 309 to:
% 109.88/58.77 | (762) ~ (all_0_37_37 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 762 yields:
% 109.88/58.77 | (763) ~ (all_0_37_37 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Equations (761) can reduce 210 to:
% 109.88/58.77 | (437) ~ (all_0_38_38 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 437 yields:
% 109.88/58.77 | (438) ~ (all_0_38_38 = e1)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (332), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1151) all_0_19_19 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (1151) can reduce 460 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (460) ~ (all_0_19_19 = e4)
% 109.88/58.77 | (1154) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (59), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (847) all_0_37_37 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (847) can reduce 97 to:
% 109.88/58.77 | (1834) ~ (all_0_38_38 = e4)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 1834 yields:
% 109.88/58.77 | (1835) ~ (all_0_38_38 = e4)
% 109.88/58.77 |
% 109.88/58.77 | Equations (847) can reduce 1127 to:
% 109.88/58.77 | (255) ~ (e4 = e3)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (333), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1846) all_0_38_38 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (1846) can reduce 1835 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (1835) ~ (all_0_38_38 = e4)
% 109.88/58.77 | (3213) all_0_38_38 = e3 | all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (3213), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (3208) all_0_38_38 = e3
% 109.88/58.77 |
% 109.88/58.77 | Equations (3208) can reduce 3095 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (3095) ~ (all_0_38_38 = e3)
% 109.88/58.77 | (3217) all_0_38_38 = e2 | all_0_38_38 = e1 | all_0_38_38 = e0
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (3217), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (3218) all_0_38_38 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (3218) can reduce 207 to:
% 109.88/58.77 | (477) ~ (all_0_28_28 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (3218) can reduce 199 to:
% 109.88/58.77 | (671) ~ (all_0_33_33 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (3218) can reduce 438 to:
% 109.88/58.77 | (310) ~ (e2 = e1)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (6683), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (6785) all_0_20_20 = e3
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (500,6785) yields a new equation:
% 109.88/58.77 | (596) e4 = e3
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 596 yields:
% 109.88/58.77 | (597) e4 = e3
% 109.88/58.77 |
% 109.88/58.77 | Equations (597) can reduce 255 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (1306) ~ (all_0_20_20 = e3)
% 109.88/58.77 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (107), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (613) all_0_30_30 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (613) can reduce 617 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (617) ~ (all_0_30_30 = e2)
% 109.88/58.77 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1154), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1159) all_0_19_19 = e3
% 109.88/58.77 |
% 109.88/58.77 | Equations (1159) can reduce 1150 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (1150) ~ (all_0_19_19 = e3)
% 109.88/58.77 | (1162) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (618), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (619) all_0_31_31 = e2
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (414,619) yields a new equation:
% 109.88/58.77 | (621) e2 = e1
% 109.88/58.77 |
% 109.88/58.77 | Equations (621) can reduce 310 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (623) ~ (all_0_31_31 = e2)
% 109.88/58.77 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (624), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (625) all_0_32_32 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (625) can reduce 448 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (448) ~ (all_0_32_32 = e2)
% 109.88/58.77 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (628), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (637) all_0_33_33 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (637) can reduce 671 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (671) ~ (all_0_33_33 = e2)
% 109.88/58.77 | (2551) all_0_34_34 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (2551) can reduce 295 to:
% 109.88/58.77 | (706) ~ (all_0_19_19 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (2551) can reduce 84 to:
% 109.88/58.77 | (479) ~ (all_0_29_29 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (2551) can reduce 155 to:
% 109.88/58.77 | (671) ~ (all_0_33_33 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (2551) can reduce 495 to:
% 109.88/58.77 | (336) ~ (e2 = e0)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1162), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1163) all_0_19_19 = e2
% 109.88/58.77 |
% 109.88/58.77 | Equations (1163) can reduce 706 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (706) ~ (all_0_19_19 = e2)
% 109.88/58.77 | (1166) all_0_19_19 = e1 | all_0_19_19 = e0
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1166), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (829) all_0_19_19 = e1
% 109.88/58.77 |
% 109.88/58.77 | Equations (829) can reduce 174 to:
% 109.88/58.77 | (5048) ~ (all_0_29_29 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 5048 yields:
% 109.88/58.77 | (2946) ~ (all_0_29_29 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Equations (829) can reduce 1150 to:
% 109.88/58.77 | (824) ~ (e3 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 824 yields:
% 109.88/58.77 | (298) ~ (e3 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Equations (829) can reduce 706 to:
% 109.88/58.77 | (766) ~ (e2 = e1)
% 109.88/58.77 |
% 109.88/58.77 | Simplifying 766 yields:
% 109.88/58.77 | (310) ~ (e2 = e1)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (115), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (769) ~ (all_0_15_15 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (711) can reduce 769 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (711) all_0_15_15 = e2
% 109.88/58.77 | (784) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e3) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e1)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e0))
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (6789), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1698) all_0_25_25 = e3
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (749,1698) yields a new equation:
% 109.88/58.77 | (648) e3 = e0
% 109.88/58.77 |
% 109.88/58.77 | Equations (648) can reduce 80 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (577) ~ (all_0_25_25 = e3)
% 109.88/58.77 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (7020), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (575) all_0_30_30 = e3
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (88), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (941) all_0_29_29 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (941) can reduce 53 to:
% 109.88/58.77 | (785) ~ (all_0_27_27 = e4)
% 109.88/58.77 |
% 109.88/58.77 | Equations (941) can reduce 47 to:
% 109.88/58.77 | (883) ~ (all_0_28_28 = e4)
% 109.88/58.77 |
% 109.88/58.77 | Equations (941) can reduce 479 to:
% 109.88/58.77 | (21) ~ (e4 = e2)
% 109.88/58.77 |
% 109.88/58.77 | Equations (941) can reduce 2946 to:
% 109.88/58.77 | (56) ~ (e4 = e1)
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (147), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1008) all_0_18_18 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (1008) can reduce 458 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (458) ~ (all_0_18_18 = e4)
% 109.88/58.77 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1012), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (1022) all_0_23_23 = e4
% 109.88/58.77 |
% 109.88/58.77 | Combining equations (427,1022) yields a new equation:
% 109.88/58.77 | (838) e4 = e1
% 109.88/58.77 |
% 109.88/58.77 | Equations (838) can reduce 56 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (1025) ~ (all_0_23_23 = e4)
% 109.88/58.77 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.88/58.77 |
% 109.88/58.77 +-Applying beta-rule and splitting (1026), into two cases.
% 109.88/58.77 |-Branch one:
% 109.88/58.77 | (854) all_0_28_28 = e4
% 109.88/58.77 |
% 109.88/58.77 | Equations (854) can reduce 883 to:
% 109.88/58.77 | (400) $false
% 109.88/58.77 |
% 109.88/58.77 |-The branch is then unsatisfiable
% 109.88/58.77 |-Branch two:
% 109.88/58.77 | (883) ~ (all_0_28_28 = e4)
% 109.88/58.77 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 109.88/58.77 |
% 109.88/58.78 +-Applying beta-rule and splitting (1840), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1322) all_0_33_33 = e4
% 109.88/58.78 |
% 109.88/58.78 | Equations (1322) can reduce 230 to:
% 109.88/58.78 | (883) ~ (all_0_28_28 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Equations (1322) can reduce 671 to:
% 109.88/58.78 | (21) ~ (e4 = e2)
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (86), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (854) all_0_28_28 = e4
% 109.88/58.78 |
% 109.88/58.78 | Equations (854) can reduce 883 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (883) ~ (all_0_28_28 = e4)
% 109.88/58.78 | (1021) all_0_28_28 = e3 | all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1021), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1106) all_0_28_28 = e3
% 109.88/58.78 |
% 109.88/58.78 | Equations (1106) can reduce 477 to:
% 109.88/58.78 | (52) ~ (e3 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Equations (1106) can reduce 434 to:
% 109.88/58.78 | (298) ~ (e3 = e1)
% 109.88/58.78 |
% 109.88/58.78 | Equations (1106) can reduce 758 to:
% 109.88/58.78 | (80) ~ (e3 = e0)
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (198), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1297) all_0_15_15 = e3
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1297,711) yields a new equation:
% 109.88/58.78 | (614) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Simplifying 614 yields:
% 109.88/58.78 | (615) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Equations (615) can reduce 52 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (572) ~ (all_0_15_15 = e3)
% 109.88/58.78 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.88/58.78 |
% 109.88/58.78 | Equations (711) can reduce 572 to:
% 109.88/58.78 | (643) ~ (e3 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Simplifying 643 yields:
% 109.88/58.78 | (52) ~ (e3 = e2)
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (304), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (646) all_0_30_30 = e0
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (575,646) yields a new equation:
% 109.88/58.78 | (647) e3 = e0
% 109.88/58.78 |
% 109.88/58.78 | Simplifying 647 yields:
% 109.88/58.78 | (648) e3 = e0
% 109.88/58.78 |
% 109.88/58.78 | Equations (648) can reduce 80 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (650) ~ (all_0_30_30 = e0)
% 109.88/58.78 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.88/58.78 |
% 109.88/58.78 | Equations (575) can reduce 650 to:
% 109.88/58.78 | (80) ~ (e3 = e0)
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (251), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1278), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1279), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1280), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1281), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1282), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1283), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1284), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1285), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1286), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1287), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1288), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1289), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1290), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1291), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1292), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1293), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1294), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.88/58.78 |
% 109.88/58.78 +-Applying beta-rule and splitting (1295), into two cases.
% 109.88/58.78 |-Branch one:
% 109.88/58.78 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1296) yields:
% 109.88/58.78 | (1297) all_0_15_15 = e3
% 109.88/58.78 | (550) all_0_21_21 = e4
% 109.88/58.78 | (1299) ~ (all_0_16_16 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1297,711) yields a new equation:
% 109.88/58.78 | (614) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Simplifying 614 yields:
% 109.88/58.78 | (615) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Equations (615) can reduce 52 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1303) yields:
% 109.88/58.78 | (1297) all_0_15_15 = e3
% 109.88/58.78 | (550) all_0_21_21 = e4
% 109.88/58.78 | (1306) ~ (all_0_20_20 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1297,711) yields a new equation:
% 109.88/58.78 | (614) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Simplifying 614 yields:
% 109.88/58.78 | (615) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Equations (615) can reduce 52 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1310) yields:
% 109.88/58.78 | (711) all_0_15_15 = e2
% 109.88/58.78 | (804) all_0_27_27 = e4
% 109.88/58.78 | (456) ~ (all_0_17_17 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Equations (804) can reduce 785 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1315) yields:
% 109.88/58.78 | (711) all_0_15_15 = e2
% 109.88/58.78 | (804) all_0_27_27 = e4
% 109.88/58.78 | (473) ~ (all_0_25_25 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Equations (804) can reduce 785 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1320) yields:
% 109.88/58.78 | (969) all_0_15_15 = e1
% 109.88/58.78 | (1322) all_0_33_33 = e4
% 109.88/58.78 | (458) ~ (all_0_18_18 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (969,711) yields a new equation:
% 109.88/58.78 | (621) e2 = e1
% 109.88/58.78 |
% 109.88/58.78 | Equations (621) can reduce 310 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1326) yields:
% 109.88/58.78 | (969) all_0_15_15 = e1
% 109.88/58.78 | (1322) all_0_33_33 = e4
% 109.88/58.78 | (417) ~ (all_0_30_30 = e1)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (969,711) yields a new equation:
% 109.88/58.78 | (621) e2 = e1
% 109.88/58.78 |
% 109.88/58.78 | Equations (621) can reduce 310 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1332) yields:
% 109.88/58.78 | (736) all_0_15_15 = e0
% 109.88/58.78 | (697) all_0_39_39 = e4
% 109.88/58.78 | (460) ~ (all_0_19_19 = e4)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (736,711) yields a new equation:
% 109.88/58.78 | (525) e2 = e0
% 109.88/58.78 |
% 109.88/58.78 | Equations (525) can reduce 336 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1339) yields:
% 109.88/58.78 | (736) all_0_15_15 = e0
% 109.88/58.78 | (697) all_0_39_39 = e4
% 109.88/58.78 | (536) ~ (all_0_35_35 = e0)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (736,711) yields a new equation:
% 109.88/58.78 | (525) e2 = e0
% 109.88/58.78 |
% 109.88/58.78 | Equations (525) can reduce 336 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1346) yields:
% 109.88/58.78 | (1347) all_0_21_21 = e2
% 109.88/58.78 | (808) all_0_27_27 = e3
% 109.88/58.78 | (925) ~ (all_0_22_22 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1347,557) yields a new equation:
% 109.88/58.78 | (615) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Equations (615) can reduce 52 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1352) yields:
% 109.88/58.78 | (1347) all_0_21_21 = e2
% 109.88/58.78 | (808) all_0_27_27 = e3
% 109.88/58.78 | (1355) ~ (all_0_26_26 = e2)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1347,557) yields a new equation:
% 109.88/58.78 | (615) e3 = e2
% 109.88/58.78 |
% 109.88/58.78 | Equations (615) can reduce 52 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1358) yields:
% 109.88/58.78 | (1359) all_0_21_21 = e1
% 109.88/58.78 | (1360) all_0_33_33 = e3
% 109.88/58.78 | (1361) ~ (all_0_23_23 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1359,557) yields a new equation:
% 109.88/58.78 | (928) e3 = e1
% 109.88/58.78 |
% 109.88/58.78 | Equations (928) can reduce 298 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1367) yields:
% 109.88/58.78 | (1359) all_0_21_21 = e1
% 109.88/58.78 | (1360) all_0_33_33 = e3
% 109.88/58.78 | (1370) ~ (all_0_31_31 = e1)
% 109.88/58.78 |
% 109.88/58.78 | Combining equations (1359,557) yields a new equation:
% 109.88/58.78 | (928) e3 = e1
% 109.88/58.78 |
% 109.88/58.78 | Equations (928) can reduce 298 to:
% 109.88/58.78 | (400) $false
% 109.88/58.78 |
% 109.88/58.78 |-The branch is then unsatisfiable
% 109.88/58.78 |-Branch two:
% 109.88/58.78 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.88/58.78 |
% 109.88/58.78 | Applying alpha-rule on (1376) yields:
% 109.88/58.79 | (519) all_0_21_21 = e0
% 109.88/58.79 | (701) all_0_39_39 = e3
% 109.88/58.79 | (1379) ~ (all_0_24_24 = e3)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (519,557) yields a new equation:
% 109.88/58.79 | (648) e3 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (648) can reduce 80 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1385) yields:
% 109.88/58.79 | (519) all_0_21_21 = e0
% 109.88/58.79 | (701) all_0_39_39 = e3
% 109.88/58.79 | (1388) ~ (all_0_36_36 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (519,557) yields a new equation:
% 109.88/58.79 | (648) e3 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (648) can reduce 80 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1394) yields:
% 109.88/58.79 | (816) all_0_27_27 = e1
% 109.88/58.79 | (637) all_0_33_33 = e2
% 109.88/58.79 | (477) ~ (all_0_28_28 = e2)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (1322,637) yields a new equation:
% 109.88/58.79 | (1531) e4 = e2
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 1531 yields:
% 109.88/58.79 | (798) e4 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (798) can reduce 21 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1421) yields:
% 109.88/58.79 | (816) all_0_27_27 = e1
% 109.88/58.79 | (637) all_0_33_33 = e2
% 109.88/58.79 | (419) ~ (all_0_32_32 = e1)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (1322,637) yields a new equation:
% 109.88/58.79 | (1531) e4 = e2
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 1531 yields:
% 109.88/58.79 | (798) e4 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (798) can reduce 21 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1448) yields:
% 109.88/58.79 | (995) all_0_27_27 = e0
% 109.88/58.79 | (705) all_0_39_39 = e2
% 109.88/58.79 | (479) ~ (all_0_29_29 = e2)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (701,705) yields a new equation:
% 109.88/58.79 | (614) e3 = e2
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 614 yields:
% 109.88/58.79 | (615) e3 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (615) can reduce 52 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1455) yields:
% 109.88/58.79 | (995) all_0_27_27 = e0
% 109.88/58.79 | (705) all_0_39_39 = e2
% 109.88/58.79 | (538) ~ (all_0_37_37 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (701,705) yields a new equation:
% 109.88/58.79 | (614) e3 = e2
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 614 yields:
% 109.88/58.79 | (615) e3 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (615) can reduce 52 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1462) yields:
% 109.88/58.79 | (1463) all_0_33_33 = e0
% 109.88/58.79 | (1252) all_0_39_39 = e1
% 109.88/58.79 | (421) ~ (all_0_34_34 = e1)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (701,1252) yields a new equation:
% 109.88/58.79 | (1113) e3 = e1
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 1113 yields:
% 109.88/58.79 | (928) e3 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (928) can reduce 298 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Applying alpha-rule on (1469) yields:
% 109.88/58.79 | (1463) all_0_33_33 = e0
% 109.88/58.79 | (1252) all_0_39_39 = e1
% 109.88/58.79 | (540) ~ (all_0_38_38 = e0)
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (701,1252) yields a new equation:
% 109.88/58.79 | (1113) e3 = e1
% 109.88/58.79 |
% 109.88/58.79 | Simplifying 1113 yields:
% 109.88/58.79 | (928) e3 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (928) can reduce 298 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (893) ~ (all_0_28_28 = e3)
% 109.88/58.79 | (1117) all_0_28_28 = e2 | all_0_28_28 = e1 | all_0_28_28 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (1117), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (1118) all_0_28_28 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (1118) can reduce 477 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (477) ~ (all_0_28_28 = e2)
% 109.88/58.79 | (1121) all_0_28_28 = e1 | all_0_28_28 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (1121), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (1122) all_0_28_28 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (1122) can reduce 434 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (434) ~ (all_0_28_28 = e1)
% 109.88/58.79 | (1125) all_0_28_28 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (1125) can reduce 758 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (594) ~ (all_0_33_33 = e4)
% 109.88/58.79 | (1846) all_0_38_38 = e4
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (3218,1846) yields a new equation:
% 109.88/58.79 | (798) e4 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (798) can reduce 21 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (603) ~ (all_0_29_29 = e4)
% 109.88/58.79 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (5059), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (3056) all_0_29_29 = e3
% 109.88/58.79 |
% 109.88/58.79 | Equations (3056) can reduce 3115 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (3115) ~ (all_0_29_29 = e3)
% 109.88/58.79 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (5198), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (5199) all_0_29_29 = e2
% 109.88/58.79 |
% 109.88/58.79 | Equations (5199) can reduce 479 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (479) ~ (all_0_29_29 = e2)
% 109.88/58.79 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (5202), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (4599) all_0_29_29 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (4599) can reduce 2946 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (2946) ~ (all_0_29_29 = e1)
% 109.88/58.79 | (5206) all_0_29_29 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (5206) can reduce 493 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1800) ~ (all_0_30_30 = e3)
% 109.88/58.79 | (728) all_0_35_35 = e3
% 109.88/58.79 |
% 109.88/58.79 | Combining equations (761,728) yields a new equation:
% 109.88/58.79 | (928) e3 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (928) can reduce 298 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (943) ~ (all_0_19_19 = e1)
% 109.88/58.79 | (1187) all_0_19_19 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (1187) can reduce 489 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (2728) ~ (all_0_38_38 = e2)
% 109.88/58.79 | (3221) all_0_38_38 = e1 | all_0_38_38 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (3221), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (3222) all_0_38_38 = e1
% 109.88/58.79 |
% 109.88/58.79 | Equations (3222) can reduce 438 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (438) ~ (all_0_38_38 = e1)
% 109.88/58.79 | (3225) all_0_38_38 = e0
% 109.88/58.79 |
% 109.88/58.79 | Equations (3225) can reduce 540 to:
% 109.88/58.79 | (400) $false
% 109.88/58.79 |
% 109.88/58.79 |-The branch is then unsatisfiable
% 109.88/58.79 |-Branch two:
% 109.88/58.79 | (1002) ~ (all_0_37_37 = e4)
% 109.88/58.79 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.88/58.79 |
% 109.88/58.79 +-Applying beta-rule and splitting (1007), into two cases.
% 109.88/58.79 |-Branch one:
% 109.88/58.79 | (936) all_0_37_37 = e3
% 109.88/58.79 |
% 109.88/58.80 | Equations (936) can reduce 1127 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (1127) ~ (all_0_37_37 = e3)
% 109.88/58.80 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1128), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1129) all_0_37_37 = e2
% 109.88/58.80 |
% 109.88/58.80 | Equations (1129) can reduce 450 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (450) ~ (all_0_37_37 = e2)
% 109.88/58.80 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1132), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1112) all_0_37_37 = e1
% 109.88/58.80 |
% 109.88/58.80 | Equations (1112) can reduce 763 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (763) ~ (all_0_37_37 = e1)
% 109.88/58.80 | (1136) all_0_37_37 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (1136) can reduce 538 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (1054) ~ (all_0_25_25 = e0)
% 109.88/58.80 | (5498) all_0_26_26 = e0 | all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (5498), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (523) all_0_26_26 = e0
% 109.88/58.80 |
% 109.88/58.80 | Combining equations (471,523) yields a new equation:
% 109.88/58.80 | (524) e2 = e0
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 524 yields:
% 109.88/58.80 | (525) e2 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (525) can reduce 336 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (527) ~ (all_0_26_26 = e0)
% 109.88/58.80 | (5504) all_0_27_27 = e0 | all_0_28_28 = e0 | all_0_29_29 = e0
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (5504), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (995) all_0_27_27 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (995) can reduce 660 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (660) ~ (all_0_27_27 = e0)
% 109.88/58.80 | (5510) all_0_28_28 = e0 | all_0_29_29 = e0
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (5510), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1125) all_0_28_28 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 302 to:
% 109.88/58.80 | (1141) ~ (all_0_18_18 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 185 to:
% 109.88/58.80 | (1054) ~ (all_0_25_25 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 337 to:
% 109.88/58.80 | (660) ~ (all_0_27_27 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 47 to:
% 109.88/58.80 | (492) ~ (all_0_29_29 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 492 yields:
% 109.88/58.80 | (493) ~ (all_0_29_29 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 230 to:
% 109.88/58.80 | (9509) ~ (all_0_33_33 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 9509 yields:
% 109.88/58.80 | (2612) ~ (all_0_33_33 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 207 to:
% 109.88/58.80 | (539) ~ (all_0_38_38 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 539 yields:
% 109.88/58.80 | (540) ~ (all_0_38_38 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 477 to:
% 109.88/58.80 | (496) ~ (e2 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 496 yields:
% 109.88/58.80 | (336) ~ (e2 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (1125) can reduce 434 to:
% 109.88/58.80 | (498) ~ (e1 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 498 yields:
% 109.88/58.80 | (40) ~ (e1 = e0)
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (92), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (736) all_0_15_15 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (736) can reduce 42 to:
% 109.88/58.80 | (2657) ~ (all_0_25_25 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 2657 yields:
% 109.88/58.80 | (1054) ~ (all_0_25_25 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Equations (736) can reduce 3 to:
% 109.88/58.80 | (11168) ~ (all_0_30_30 = e0)
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 11168 yields:
% 109.88/58.80 | (650) ~ (all_0_30_30 = e0)
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (251), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1278), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1279), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1280), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1281), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1282), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1283), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1284), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1285), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1286), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1287), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1288), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1289), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1290), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1291), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1292), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1293), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1294), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.88/58.80 |
% 109.88/58.80 +-Applying beta-rule and splitting (1295), into two cases.
% 109.88/58.80 |-Branch one:
% 109.88/58.80 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.88/58.80 |
% 109.88/58.80 | Applying alpha-rule on (1296) yields:
% 109.88/58.80 | (1297) all_0_15_15 = e3
% 109.88/58.80 | (550) all_0_21_21 = e4
% 109.88/58.80 | (1299) ~ (all_0_16_16 = e4)
% 109.88/58.80 |
% 109.88/58.80 | Combining equations (1297,736) yields a new equation:
% 109.88/58.80 | (647) e3 = e0
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 647 yields:
% 109.88/58.80 | (648) e3 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (648) can reduce 80 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.88/58.80 |
% 109.88/58.80 | Applying alpha-rule on (1303) yields:
% 109.88/58.80 | (1297) all_0_15_15 = e3
% 109.88/58.80 | (550) all_0_21_21 = e4
% 109.88/58.80 | (1306) ~ (all_0_20_20 = e3)
% 109.88/58.80 |
% 109.88/58.80 | Combining equations (1297,736) yields a new equation:
% 109.88/58.80 | (647) e3 = e0
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 647 yields:
% 109.88/58.80 | (648) e3 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (648) can reduce 80 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.88/58.80 |
% 109.88/58.80 | Applying alpha-rule on (1310) yields:
% 109.88/58.80 | (711) all_0_15_15 = e2
% 109.88/58.80 | (804) all_0_27_27 = e4
% 109.88/58.80 | (456) ~ (all_0_17_17 = e4)
% 109.88/58.80 |
% 109.88/58.80 | Combining equations (711,736) yields a new equation:
% 109.88/58.80 | (524) e2 = e0
% 109.88/58.80 |
% 109.88/58.80 | Simplifying 524 yields:
% 109.88/58.80 | (525) e2 = e0
% 109.88/58.80 |
% 109.88/58.80 | Equations (525) can reduce 336 to:
% 109.88/58.80 | (400) $false
% 109.88/58.80 |
% 109.88/58.80 |-The branch is then unsatisfiable
% 109.88/58.80 |-Branch two:
% 109.88/58.80 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.88/58.80 |
% 109.88/58.80 | Applying alpha-rule on (1315) yields:
% 109.88/58.81 | (711) all_0_15_15 = e2
% 109.88/58.81 | (804) all_0_27_27 = e4
% 109.88/58.81 | (473) ~ (all_0_25_25 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (711,736) yields a new equation:
% 109.88/58.81 | (524) e2 = e0
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 524 yields:
% 109.88/58.81 | (525) e2 = e0
% 109.88/58.81 |
% 109.88/58.81 | Equations (525) can reduce 336 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1320) yields:
% 109.88/58.81 | (969) all_0_15_15 = e1
% 109.88/58.81 | (1322) all_0_33_33 = e4
% 109.88/58.81 | (458) ~ (all_0_18_18 = e4)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (969,736) yields a new equation:
% 109.88/58.81 | (530) e1 = e0
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 530 yields:
% 109.88/58.81 | (531) e1 = e0
% 109.88/58.81 |
% 109.88/58.81 | Equations (531) can reduce 40 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1326) yields:
% 109.88/58.81 | (969) all_0_15_15 = e1
% 109.88/58.81 | (1322) all_0_33_33 = e4
% 109.88/58.81 | (417) ~ (all_0_30_30 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (969,736) yields a new equation:
% 109.88/58.81 | (530) e1 = e0
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 530 yields:
% 109.88/58.81 | (531) e1 = e0
% 109.88/58.81 |
% 109.88/58.81 | Equations (531) can reduce 40 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1332) yields:
% 109.88/58.81 | (736) all_0_15_15 = e0
% 109.88/58.81 | (697) all_0_39_39 = e4
% 109.88/58.81 | (460) ~ (all_0_19_19 = e4)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (701,697) yields a new equation:
% 109.88/58.81 | (597) e4 = e3
% 109.88/58.81 |
% 109.88/58.81 | Equations (597) can reduce 255 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1339) yields:
% 109.88/58.81 | (736) all_0_15_15 = e0
% 109.88/58.81 | (697) all_0_39_39 = e4
% 109.88/58.81 | (536) ~ (all_0_35_35 = e0)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (701,697) yields a new equation:
% 109.88/58.81 | (597) e4 = e3
% 109.88/58.81 |
% 109.88/58.81 | Equations (597) can reduce 255 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1346) yields:
% 109.88/58.81 | (1347) all_0_21_21 = e2
% 109.88/58.81 | (808) all_0_27_27 = e3
% 109.88/58.81 | (925) ~ (all_0_22_22 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (1347,557) yields a new equation:
% 109.88/58.81 | (615) e3 = e2
% 109.88/58.81 |
% 109.88/58.81 | Equations (615) can reduce 52 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1352) yields:
% 109.88/58.81 | (1347) all_0_21_21 = e2
% 109.88/58.81 | (808) all_0_27_27 = e3
% 109.88/58.81 | (1355) ~ (all_0_26_26 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (1347,557) yields a new equation:
% 109.88/58.81 | (615) e3 = e2
% 109.88/58.81 |
% 109.88/58.81 | Equations (615) can reduce 52 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1358) yields:
% 109.88/58.81 | (1359) all_0_21_21 = e1
% 109.88/58.81 | (1360) all_0_33_33 = e3
% 109.88/58.81 | (1361) ~ (all_0_23_23 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (1359,557) yields a new equation:
% 109.88/58.81 | (928) e3 = e1
% 109.88/58.81 |
% 109.88/58.81 | Equations (928) can reduce 298 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1367) yields:
% 109.88/58.81 | (1359) all_0_21_21 = e1
% 109.88/58.81 | (1360) all_0_33_33 = e3
% 109.88/58.81 | (1370) ~ (all_0_31_31 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (1359,557) yields a new equation:
% 109.88/58.81 | (928) e3 = e1
% 109.88/58.81 |
% 109.88/58.81 | Equations (928) can reduce 298 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1376) yields:
% 109.88/58.81 | (519) all_0_21_21 = e0
% 109.88/58.81 | (701) all_0_39_39 = e3
% 109.88/58.81 | (1379) ~ (all_0_24_24 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (519,557) yields a new equation:
% 109.88/58.81 | (648) e3 = e0
% 109.88/58.81 |
% 109.88/58.81 | Equations (648) can reduce 80 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1385) yields:
% 109.88/58.81 | (519) all_0_21_21 = e0
% 109.88/58.81 | (701) all_0_39_39 = e3
% 109.88/58.81 | (1388) ~ (all_0_36_36 = e0)
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (519,557) yields a new equation:
% 109.88/58.81 | (648) e3 = e0
% 109.88/58.81 |
% 109.88/58.81 | Equations (648) can reduce 80 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Applying alpha-rule on (1394) yields:
% 109.88/58.81 | (816) all_0_27_27 = e1
% 109.88/58.81 | (637) all_0_33_33 = e2
% 109.88/58.81 | (477) ~ (all_0_28_28 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Equations (637) can reduce 33 to:
% 109.88/58.81 | (638) ~ (all_0_18_18 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Equations (816) can reduce 122 to:
% 109.88/58.81 | (1519) ~ (all_0_25_25 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Equations (816) can reduce 53 to:
% 109.88/58.81 | (5048) ~ (all_0_29_29 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 5048 yields:
% 109.88/58.81 | (2946) ~ (all_0_29_29 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Equations (816) can reduce 660 to:
% 109.88/58.81 | (40) ~ (e1 = e0)
% 109.88/58.81 |
% 109.88/58.81 | Equations (637) can reduce 155 to:
% 109.88/58.81 | (11182) ~ (all_0_34_34 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 11182 yields:
% 109.88/58.81 | (4340) ~ (all_0_34_34 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Equations (637) can reduce 2612 to:
% 109.88/58.81 | (336) ~ (e2 = e0)
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (57), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (1698) all_0_25_25 = e3
% 109.88/58.81 |
% 109.88/58.81 | Equations (1698) can reduce 7 to:
% 109.88/58.81 | (3114) ~ (all_0_29_29 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 3114 yields:
% 109.88/58.81 | (3115) ~ (all_0_29_29 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Equations (1698) can reduce 505 to:
% 109.88/58.81 | (558) ~ (e4 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 558 yields:
% 109.88/58.81 | (255) ~ (e4 = e3)
% 109.88/58.81 |
% 109.88/58.81 | Equations (1698) can reduce 473 to:
% 109.88/58.81 | (52) ~ (e3 = e2)
% 109.88/58.81 |
% 109.88/58.81 | Equations (1698) can reduce 1519 to:
% 109.88/58.81 | (298) ~ (e3 = e1)
% 109.88/58.81 |
% 109.88/58.81 | Equations (1698) can reduce 1054 to:
% 109.88/58.81 | (80) ~ (e3 = e0)
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (55), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (590) all_0_25_25 = e4
% 109.88/58.81 |
% 109.88/58.81 | Combining equations (1698,590) yields a new equation:
% 109.88/58.81 | (597) e4 = e3
% 109.88/58.81 |
% 109.88/58.81 | Equations (597) can reduce 255 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (505) ~ (all_0_25_25 = e4)
% 109.88/58.81 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (88), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (941) all_0_29_29 = e4
% 109.88/58.81 |
% 109.88/58.81 | Equations (941) can reduce 84 to:
% 109.88/58.81 | (2566) ~ (all_0_34_34 = e4)
% 109.88/58.81 |
% 109.88/58.81 | Simplifying 2566 yields:
% 109.88/58.81 | (2554) ~ (all_0_34_34 = e4)
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (263), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (601) all_0_34_34 = e4
% 109.88/58.81 |
% 109.88/58.81 | Equations (601) can reduce 2554 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (2554) ~ (all_0_34_34 = e4)
% 109.88/58.81 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (2555), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (2571) all_0_34_34 = e3
% 109.88/58.81 |
% 109.88/58.81 | Equations (2571) can reduce 583 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (583) ~ (all_0_34_34 = e3)
% 109.88/58.81 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (2574), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (2551) all_0_34_34 = e2
% 109.88/58.81 |
% 109.88/58.81 | Equations (2551) can reduce 4340 to:
% 109.88/58.81 | (400) $false
% 109.88/58.81 |
% 109.88/58.81 |-The branch is then unsatisfiable
% 109.88/58.81 |-Branch two:
% 109.88/58.81 | (4340) ~ (all_0_34_34 = e2)
% 109.88/58.81 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.88/58.81 |
% 109.88/58.81 +-Applying beta-rule and splitting (4341), into two cases.
% 109.88/58.81 |-Branch one:
% 109.88/58.81 | (4342) all_0_34_34 = e1
% 109.88/58.81 |
% 109.93/58.81 | Equations (4342) can reduce 421 to:
% 109.93/58.81 | (400) $false
% 109.93/58.81 |
% 109.93/58.81 |-The branch is then unsatisfiable
% 109.93/58.81 |-Branch two:
% 109.93/58.81 | (421) ~ (all_0_34_34 = e1)
% 109.93/58.81 | (4345) all_0_34_34 = e0
% 109.93/58.81 |
% 109.93/58.81 | Equations (4345) can reduce 495 to:
% 109.93/58.81 | (400) $false
% 109.93/58.81 |
% 109.93/58.81 |-The branch is then unsatisfiable
% 109.93/58.81 |-Branch two:
% 109.93/58.81 | (603) ~ (all_0_29_29 = e4)
% 109.93/58.81 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.81 |
% 109.93/58.81 +-Applying beta-rule and splitting (263), into two cases.
% 109.93/58.81 |-Branch one:
% 109.93/58.81 | (601) all_0_34_34 = e4
% 109.93/58.81 |
% 109.93/58.81 | Equations (601) can reduce 132 to:
% 109.93/58.81 | (604) ~ (all_0_32_32 = e4)
% 109.93/58.81 |
% 109.93/58.81 | Equations (601) can reduce 4340 to:
% 109.93/58.81 | (21) ~ (e4 = e2)
% 109.93/58.81 |
% 109.93/58.81 | Equations (601) can reduce 421 to:
% 109.93/58.81 | (56) ~ (e4 = e1)
% 109.93/58.81 |
% 109.93/58.81 | Equations (601) can reduce 495 to:
% 109.93/58.81 | (267) ~ (e4 = e0)
% 109.93/58.81 |
% 109.93/58.81 +-Applying beta-rule and splitting (127), into two cases.
% 109.93/58.81 |-Branch one:
% 109.93/58.81 | (671) ~ (all_0_33_33 = e2)
% 109.93/58.81 |
% 109.93/58.81 | Equations (637) can reduce 671 to:
% 109.93/58.81 | (400) $false
% 109.93/58.81 |
% 109.93/58.81 |-The branch is then unsatisfiable
% 109.93/58.81 |-Branch two:
% 109.93/58.81 | (637) all_0_33_33 = e2
% 109.93/58.81 | (695) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 109.93/58.81 |
% 109.93/58.81 +-Applying beta-rule and splitting (102), into two cases.
% 109.93/58.81 |-Branch one:
% 109.93/58.81 | (1147) all_0_18_18 = e3
% 109.93/58.81 |
% 109.93/58.81 | Equations (1147) can reduce 9 to:
% 109.93/58.81 | (919) ~ (all_0_17_17 = e3)
% 109.93/58.81 |
% 109.93/58.81 | Equations (1147) can reduce 638 to:
% 109.93/58.81 | (52) ~ (e3 = e2)
% 109.93/58.81 |
% 109.93/58.81 +-Applying beta-rule and splitting (168), into two cases.
% 109.93/58.81 |-Branch one:
% 109.93/58.81 | (1163) all_0_19_19 = e2
% 109.93/58.81 |
% 109.93/58.82 | Equations (1163) can reduce 174 to:
% 109.93/58.82 | (478) ~ (all_0_29_29 = e2)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 478 yields:
% 109.93/58.82 | (479) ~ (all_0_29_29 = e2)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (5059), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (3056) all_0_29_29 = e3
% 109.93/58.82 |
% 109.93/58.82 | Equations (3056) can reduce 3115 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (3115) ~ (all_0_29_29 = e3)
% 109.93/58.82 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (5198), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (5199) all_0_29_29 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (5199) can reduce 479 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (479) ~ (all_0_29_29 = e2)
% 109.93/58.82 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (5202), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (4599) all_0_29_29 = e1
% 109.93/58.82 |
% 109.93/58.82 | Equations (4599) can reduce 2946 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (2946) ~ (all_0_29_29 = e1)
% 109.93/58.82 | (5206) all_0_29_29 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (5206) can reduce 493 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (706) ~ (all_0_19_19 = e2)
% 109.93/58.82 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (59), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (847) all_0_37_37 = e4
% 109.93/58.82 |
% 109.93/58.82 | Equations (847) can reduce 450 to:
% 109.93/58.82 | (21) ~ (e4 = e2)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (142), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (855) all_0_17_17 = e3
% 109.93/58.82 |
% 109.93/58.82 | Equations (855) can reduce 919 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (919) ~ (all_0_17_17 = e3)
% 109.93/58.82 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (790), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (832) all_0_26_26 = e4
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (471,832) yields a new equation:
% 109.93/58.82 | (798) e4 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (798) can reduce 21 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (464) ~ (all_0_26_26 = e4)
% 109.93/58.82 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.93/58.82 |
% 109.93/58.82 | Equations (471) can reduce 464 to:
% 109.93/58.82 | (482) ~ (e4 = e2)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 482 yields:
% 109.93/58.82 | (21) ~ (e4 = e2)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (179), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (711) all_0_15_15 = e2
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (711,736) yields a new equation:
% 109.93/58.82 | (524) e2 = e0
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 524 yields:
% 109.93/58.82 | (525) e2 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (525) can reduce 336 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (769) ~ (all_0_15_15 = e2)
% 109.93/58.82 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (736) can reduce 769 to:
% 109.93/58.82 | (496) ~ (e2 = e0)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 496 yields:
% 109.93/58.82 | (336) ~ (e2 = e0)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (7045), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (7046) all_0_24_24 = e2
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (7046,488) yields a new equation:
% 109.93/58.82 | (524) e2 = e0
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 524 yields:
% 109.93/58.82 | (525) e2 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (525) can reduce 336 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (446) ~ (all_0_24_24 = e2)
% 109.93/58.82 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (920), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (921) all_0_22_22 = e3
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (442,921) yields a new equation:
% 109.93/58.82 | (615) e3 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (615) can reduce 52 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (925) ~ (all_0_22_22 = e3)
% 109.93/58.82 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.93/58.82 |
% 109.93/58.82 | Equations (442) can reduce 925 to:
% 109.93/58.82 | (643) ~ (e3 = e2)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 643 yields:
% 109.93/58.82 | (52) ~ (e3 = e2)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (7050), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (5199) all_0_29_29 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (5199) can reduce 479 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (479) ~ (all_0_29_29 = e2)
% 109.93/58.82 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (7056), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (2551) all_0_34_34 = e2
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (2551,601) yields a new equation:
% 109.93/58.82 | (798) e4 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (798) can reduce 21 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (4340) ~ (all_0_34_34 = e2)
% 109.93/58.82 | (705) all_0_39_39 = e2
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (701,705) yields a new equation:
% 109.93/58.82 | (614) e3 = e2
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 614 yields:
% 109.93/58.82 | (615) e3 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (615) can reduce 52 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (1002) ~ (all_0_37_37 = e4)
% 109.93/58.82 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (7045), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (7046) all_0_24_24 = e2
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (488,7046) yields a new equation:
% 109.93/58.82 | (525) e2 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (525) can reduce 336 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (446) ~ (all_0_24_24 = e2)
% 109.93/58.82 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (488) can reduce 446 to:
% 109.93/58.82 | (496) ~ (e2 = e0)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 496 yields:
% 109.93/58.82 | (336) ~ (e2 = e0)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (304), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (646) all_0_30_30 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (646) can reduce 650 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (650) ~ (all_0_30_30 = e0)
% 109.93/58.82 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (51), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (793) all_0_17_17 = e4
% 109.93/58.82 |
% 109.93/58.82 | Equations (793) can reduce 456 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (456) ~ (all_0_17_17 = e4)
% 109.93/58.82 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (651), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (529) all_0_31_31 = e0
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (414,529) yields a new equation:
% 109.93/58.82 | (530) e1 = e0
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 530 yields:
% 109.93/58.82 | (531) e1 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (531) can reduce 40 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (533) ~ (all_0_31_31 = e0)
% 109.93/58.82 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (657), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (658) all_0_32_32 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (658) can reduce 604 to:
% 109.93/58.82 | (543) ~ (e4 = e0)
% 109.93/58.82 |
% 109.93/58.82 | Simplifying 543 yields:
% 109.93/58.82 | (267) ~ (e4 = e0)
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (796), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (797) all_0_22_22 = e4
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (442,797) yields a new equation:
% 109.93/58.82 | (798) e4 = e2
% 109.93/58.82 |
% 109.93/58.82 | Equations (798) can reduce 21 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (800) ~ (all_0_22_22 = e4)
% 109.93/58.82 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (169), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (857) ~ (all_0_27_27 = e1)
% 109.93/58.82 |
% 109.93/58.82 | Equations (816) can reduce 857 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (816) all_0_27_27 = e1
% 109.93/58.82 | (864) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (801), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (804) all_0_27_27 = e4
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (816,804) yields a new equation:
% 109.93/58.82 | (838) e4 = e1
% 109.93/58.82 |
% 109.93/58.82 | Equations (838) can reduce 56 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (785) ~ (all_0_27_27 = e4)
% 109.93/58.82 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.93/58.82 |
% 109.93/58.82 +-Applying beta-rule and splitting (841), into two cases.
% 109.93/58.82 |-Branch one:
% 109.93/58.82 | (609) all_0_32_32 = e4
% 109.93/58.82 |
% 109.93/58.82 | Combining equations (658,609) yields a new equation:
% 109.93/58.82 | (515) e4 = e0
% 109.93/58.82 |
% 109.93/58.82 | Equations (515) can reduce 267 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.82 |-Branch two:
% 109.93/58.82 | (604) ~ (all_0_32_32 = e4)
% 109.93/58.82 | (847) all_0_37_37 = e4
% 109.93/58.82 |
% 109.93/58.82 | Equations (847) can reduce 1002 to:
% 109.93/58.82 | (400) $false
% 109.93/58.82 |
% 109.93/58.82 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (889) ~ (all_0_32_32 = e0)
% 109.93/58.83 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (2544), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1463) all_0_33_33 = e0
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (1463,637) yields a new equation:
% 109.93/58.83 | (525) e2 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (525) can reduce 336 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (2612) ~ (all_0_33_33 = e0)
% 109.93/58.83 | (4345) all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (601,4345) yields a new equation:
% 109.93/58.83 | (743) e4 = e0
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 743 yields:
% 109.93/58.83 | (515) e4 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (515) can reduce 267 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (1189) ~ (all_0_18_18 = e3)
% 109.93/58.83 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (179), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (711) all_0_15_15 = e2
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (711,736) yields a new equation:
% 109.93/58.83 | (524) e2 = e0
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 524 yields:
% 109.93/58.83 | (525) e2 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (525) can reduce 336 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (769) ~ (all_0_15_15 = e2)
% 109.93/58.83 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (1529), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1530) all_0_20_20 = e2
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (500,1530) yields a new equation:
% 109.93/58.83 | (1531) e4 = e2
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 1531 yields:
% 109.93/58.83 | (798) e4 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (798) can reduce 21 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (444) ~ (all_0_20_20 = e2)
% 109.93/58.83 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (1742), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (3107) all_0_23_23 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (427,3107) yields a new equation:
% 109.93/58.83 | (928) e3 = e1
% 109.93/58.83 |
% 109.93/58.83 | Equations (928) can reduce 298 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (1361) ~ (all_0_23_23 = e3)
% 109.93/58.83 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (1535), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1536) all_0_25_25 = e2
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (1698,1536) yields a new equation:
% 109.93/58.83 | (614) e3 = e2
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 614 yields:
% 109.93/58.83 | (615) e3 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (615) can reduce 52 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (473) ~ (all_0_25_25 = e2)
% 109.93/58.83 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (1698) can reduce 473 to:
% 109.93/58.83 | (52) ~ (e3 = e2)
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (3112), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1106) all_0_28_28 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (1106,1125) yields a new equation:
% 109.93/58.83 | (647) e3 = e0
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 647 yields:
% 109.93/58.83 | (648) e3 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (648) can reduce 80 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (893) ~ (all_0_28_28 = e3)
% 109.93/58.83 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (3201), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1360) all_0_33_33 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (637,1360) yields a new equation:
% 109.93/58.83 | (615) e3 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (615) can reduce 52 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (574) ~ (all_0_33_33 = e3)
% 109.93/58.83 | (3208) all_0_38_38 = e3
% 109.93/58.83 |
% 109.93/58.83 | Equations (3208) can reduce 3095 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (2554) ~ (all_0_34_34 = e4)
% 109.93/58.83 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (2555), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (2571) all_0_34_34 = e3
% 109.93/58.83 |
% 109.93/58.83 | Equations (2571) can reduce 583 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (583) ~ (all_0_34_34 = e3)
% 109.93/58.83 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (2574), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (2551) all_0_34_34 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (2551) can reduce 4340 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (4340) ~ (all_0_34_34 = e2)
% 109.93/58.83 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (4341), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (4342) all_0_34_34 = e1
% 109.93/58.83 |
% 109.93/58.83 | Equations (4342) can reduce 421 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (421) ~ (all_0_34_34 = e1)
% 109.93/58.83 | (4345) all_0_34_34 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (4345) can reduce 495 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (577) ~ (all_0_25_25 = e3)
% 109.93/58.83 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (3006), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (3007) all_0_26_26 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (471,3007) yields a new equation:
% 109.93/58.83 | (615) e3 = e2
% 109.93/58.83 |
% 109.93/58.83 | Equations (615) can reduce 52 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (3010) ~ (all_0_26_26 = e3)
% 109.93/58.83 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (3011), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (808) all_0_27_27 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (808,816) yields a new equation:
% 109.93/58.83 | (1113) e3 = e1
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 1113 yields:
% 109.93/58.83 | (928) e3 = e1
% 109.93/58.83 |
% 109.93/58.83 | Equations (928) can reduce 298 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (573) ~ (all_0_27_27 = e3)
% 109.93/58.83 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.93/58.83 |
% 109.93/58.83 +-Applying beta-rule and splitting (3016), into two cases.
% 109.93/58.83 |-Branch one:
% 109.93/58.83 | (1106) all_0_28_28 = e3
% 109.93/58.83 |
% 109.93/58.83 | Combining equations (1125,1106) yields a new equation:
% 109.93/58.83 | (648) e3 = e0
% 109.93/58.83 |
% 109.93/58.83 | Equations (648) can reduce 80 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (893) ~ (all_0_28_28 = e3)
% 109.93/58.83 | (3056) all_0_29_29 = e3
% 109.93/58.83 |
% 109.93/58.83 | Equations (3056) can reduce 3115 to:
% 109.93/58.83 | (400) $false
% 109.93/58.83 |
% 109.93/58.83 |-The branch is then unsatisfiable
% 109.93/58.83 |-Branch two:
% 109.93/58.83 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.93/58.83 |
% 109.93/58.83 | Applying alpha-rule on (1421) yields:
% 109.93/58.83 | (816) all_0_27_27 = e1
% 109.93/58.83 | (637) all_0_33_33 = e2
% 109.93/58.83 | (419) ~ (all_0_32_32 = e1)
% 109.93/58.83 |
% 109.93/58.83 | Equations (637) can reduce 33 to:
% 109.93/58.83 | (638) ~ (all_0_18_18 = e2)
% 109.93/58.83 |
% 109.93/58.83 | Equations (816) can reduce 122 to:
% 109.93/58.83 | (1519) ~ (all_0_25_25 = e1)
% 109.93/58.83 |
% 109.93/58.83 | Equations (816) can reduce 53 to:
% 109.93/58.83 | (5048) ~ (all_0_29_29 = e1)
% 109.93/58.83 |
% 109.93/58.83 | Simplifying 5048 yields:
% 109.93/58.83 | (2946) ~ (all_0_29_29 = e1)
% 109.93/58.83 |
% 109.93/58.83 | Equations (816) can reduce 660 to:
% 109.93/58.83 | (40) ~ (e1 = e0)
% 109.93/58.83 |
% 109.93/58.83 | Equations (637) can reduce 155 to:
% 109.93/58.84 | (11182) ~ (all_0_34_34 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Simplifying 11182 yields:
% 109.93/58.84 | (4340) ~ (all_0_34_34 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Equations (637) can reduce 2612 to:
% 109.93/58.84 | (336) ~ (e2 = e0)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (57), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (1698) all_0_25_25 = e3
% 109.93/58.84 |
% 109.93/58.84 | Equations (1698) can reduce 7 to:
% 109.93/58.84 | (3114) ~ (all_0_29_29 = e3)
% 109.93/58.84 |
% 109.93/58.84 | Simplifying 3114 yields:
% 109.93/58.84 | (3115) ~ (all_0_29_29 = e3)
% 109.93/58.84 |
% 109.93/58.84 | Equations (1698) can reduce 505 to:
% 109.93/58.84 | (558) ~ (e4 = e3)
% 109.93/58.84 |
% 109.93/58.84 | Simplifying 558 yields:
% 109.93/58.84 | (255) ~ (e4 = e3)
% 109.93/58.84 |
% 109.93/58.84 | Equations (1698) can reduce 473 to:
% 109.93/58.84 | (52) ~ (e3 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Equations (1698) can reduce 1519 to:
% 109.93/58.84 | (298) ~ (e3 = e1)
% 109.93/58.84 |
% 109.93/58.84 | Equations (1698) can reduce 1054 to:
% 109.93/58.84 | (80) ~ (e3 = e0)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (55), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (590) all_0_25_25 = e4
% 109.93/58.84 |
% 109.93/58.84 | Combining equations (1698,590) yields a new equation:
% 109.93/58.84 | (597) e4 = e3
% 109.93/58.84 |
% 109.93/58.84 | Equations (597) can reduce 255 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (505) ~ (all_0_25_25 = e4)
% 109.93/58.84 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (88), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (941) all_0_29_29 = e4
% 109.93/58.84 |
% 109.93/58.84 | Equations (941) can reduce 84 to:
% 109.93/58.84 | (2566) ~ (all_0_34_34 = e4)
% 109.93/58.84 |
% 109.93/58.84 | Simplifying 2566 yields:
% 109.93/58.84 | (2554) ~ (all_0_34_34 = e4)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (263), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (601) all_0_34_34 = e4
% 109.93/58.84 |
% 109.93/58.84 | Equations (601) can reduce 2554 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (2554) ~ (all_0_34_34 = e4)
% 109.93/58.84 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (2555), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (2571) all_0_34_34 = e3
% 109.93/58.84 |
% 109.93/58.84 | Equations (2571) can reduce 583 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (583) ~ (all_0_34_34 = e3)
% 109.93/58.84 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (2574), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (2551) all_0_34_34 = e2
% 109.93/58.84 |
% 109.93/58.84 | Equations (2551) can reduce 4340 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (4340) ~ (all_0_34_34 = e2)
% 109.93/58.84 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (4341), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (4342) all_0_34_34 = e1
% 109.93/58.84 |
% 109.93/58.84 | Equations (4342) can reduce 421 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (421) ~ (all_0_34_34 = e1)
% 109.93/58.84 | (4345) all_0_34_34 = e0
% 109.93/58.84 |
% 109.93/58.84 | Equations (4345) can reduce 495 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (603) ~ (all_0_29_29 = e4)
% 109.93/58.84 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (263), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (601) all_0_34_34 = e4
% 109.93/58.84 |
% 109.93/58.84 | Equations (601) can reduce 132 to:
% 109.93/58.84 | (604) ~ (all_0_32_32 = e4)
% 109.93/58.84 |
% 109.93/58.84 | Equations (601) can reduce 4340 to:
% 109.93/58.84 | (21) ~ (e4 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Equations (601) can reduce 421 to:
% 109.93/58.84 | (56) ~ (e4 = e1)
% 109.93/58.84 |
% 109.93/58.84 | Equations (601) can reduce 495 to:
% 109.93/58.84 | (267) ~ (e4 = e0)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (127), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (671) ~ (all_0_33_33 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Equations (637) can reduce 671 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (637) all_0_33_33 = e2
% 109.93/58.84 | (695) (all_0_4_4 = all_0_32_32 & ~ (all_0_3_3 = e3) & op(all_0_32_32, e1) = all_0_3_3) | (all_0_4_4 = all_0_32_32 & ~ (all_0_32_32 = e4)) | (all_0_5_5 = all_0_28_28 & ~ (all_0_28_28 = e0))
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (102), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (1147) all_0_18_18 = e3
% 109.93/58.84 |
% 109.93/58.84 | Equations (1147) can reduce 9 to:
% 109.93/58.84 | (919) ~ (all_0_17_17 = e3)
% 109.93/58.84 |
% 109.93/58.84 | Equations (1147) can reduce 638 to:
% 109.93/58.84 | (52) ~ (e3 = e2)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (168), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (1163) all_0_19_19 = e2
% 109.93/58.84 |
% 109.93/58.84 | Equations (1163) can reduce 174 to:
% 109.93/58.84 | (478) ~ (all_0_29_29 = e2)
% 109.93/58.84 |
% 109.93/58.84 | Simplifying 478 yields:
% 109.93/58.84 | (479) ~ (all_0_29_29 = e2)
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (5059), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (3056) all_0_29_29 = e3
% 109.93/58.84 |
% 109.93/58.84 | Equations (3056) can reduce 3115 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (3115) ~ (all_0_29_29 = e3)
% 109.93/58.84 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (5198), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (5199) all_0_29_29 = e2
% 109.93/58.84 |
% 109.93/58.84 | Equations (5199) can reduce 479 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (479) ~ (all_0_29_29 = e2)
% 109.93/58.84 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.93/58.84 |
% 109.93/58.84 +-Applying beta-rule and splitting (5202), into two cases.
% 109.93/58.84 |-Branch one:
% 109.93/58.84 | (4599) all_0_29_29 = e1
% 109.93/58.84 |
% 109.93/58.84 | Equations (4599) can reduce 2946 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.93/58.84 |-Branch two:
% 109.93/58.84 | (2946) ~ (all_0_29_29 = e1)
% 109.93/58.84 | (5206) all_0_29_29 = e0
% 109.93/58.84 |
% 109.93/58.84 | Equations (5206) can reduce 493 to:
% 109.93/58.84 | (400) $false
% 109.93/58.84 |
% 109.93/58.84 |-The branch is then unsatisfiable
% 109.96/58.84 |-Branch two:
% 109.96/58.84 | (706) ~ (all_0_19_19 = e2)
% 109.96/58.84 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (59), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (847) all_0_37_37 = e4
% 109.96/58.84 |
% 109.96/58.84 | Equations (847) can reduce 450 to:
% 109.96/58.84 | (21) ~ (e4 = e2)
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (142), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (855) all_0_17_17 = e3
% 109.96/58.84 |
% 109.96/58.84 | Equations (855) can reduce 919 to:
% 109.96/58.84 | (400) $false
% 109.96/58.84 |
% 109.96/58.84 |-The branch is then unsatisfiable
% 109.96/58.84 |-Branch two:
% 109.96/58.84 | (919) ~ (all_0_17_17 = e3)
% 109.96/58.84 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (790), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (832) all_0_26_26 = e4
% 109.96/58.84 |
% 109.96/58.84 | Combining equations (471,832) yields a new equation:
% 109.96/58.84 | (798) e4 = e2
% 109.96/58.84 |
% 109.96/58.84 | Equations (798) can reduce 21 to:
% 109.96/58.84 | (400) $false
% 109.96/58.84 |
% 109.96/58.84 |-The branch is then unsatisfiable
% 109.96/58.84 |-Branch two:
% 109.96/58.84 | (464) ~ (all_0_26_26 = e4)
% 109.96/58.84 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.96/58.84 |
% 109.96/58.84 | Equations (471) can reduce 464 to:
% 109.96/58.84 | (482) ~ (e4 = e2)
% 109.96/58.84 |
% 109.96/58.84 | Simplifying 482 yields:
% 109.96/58.84 | (21) ~ (e4 = e2)
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (179), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (711) all_0_15_15 = e2
% 109.96/58.84 |
% 109.96/58.84 | Combining equations (711,736) yields a new equation:
% 109.96/58.84 | (524) e2 = e0
% 109.96/58.84 |
% 109.96/58.84 | Simplifying 524 yields:
% 109.96/58.84 | (525) e2 = e0
% 109.96/58.84 |
% 109.96/58.84 | Equations (525) can reduce 336 to:
% 109.96/58.84 | (400) $false
% 109.96/58.84 |
% 109.96/58.84 |-The branch is then unsatisfiable
% 109.96/58.84 |-Branch two:
% 109.96/58.84 | (769) ~ (all_0_15_15 = e2)
% 109.96/58.84 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.96/58.84 |
% 109.96/58.84 | Equations (736) can reduce 769 to:
% 109.96/58.84 | (496) ~ (e2 = e0)
% 109.96/58.84 |
% 109.96/58.84 | Simplifying 496 yields:
% 109.96/58.84 | (336) ~ (e2 = e0)
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (7045), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (7046) all_0_24_24 = e2
% 109.96/58.84 |
% 109.96/58.84 | Combining equations (7046,488) yields a new equation:
% 109.96/58.84 | (524) e2 = e0
% 109.96/58.84 |
% 109.96/58.84 | Simplifying 524 yields:
% 109.96/58.84 | (525) e2 = e0
% 109.96/58.84 |
% 109.96/58.84 | Equations (525) can reduce 336 to:
% 109.96/58.84 | (400) $false
% 109.96/58.84 |
% 109.96/58.84 |-The branch is then unsatisfiable
% 109.96/58.84 |-Branch two:
% 109.96/58.84 | (446) ~ (all_0_24_24 = e2)
% 109.96/58.84 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.84 |
% 109.96/58.84 +-Applying beta-rule and splitting (920), into two cases.
% 109.96/58.84 |-Branch one:
% 109.96/58.84 | (921) all_0_22_22 = e3
% 109.96/58.84 |
% 109.96/58.84 | Combining equations (442,921) yields a new equation:
% 109.96/58.85 | (615) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (615) can reduce 52 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (925) ~ (all_0_22_22 = e3)
% 109.96/58.85 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 109.96/58.85 |
% 109.96/58.85 | Equations (442) can reduce 925 to:
% 109.96/58.85 | (643) ~ (e3 = e2)
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 643 yields:
% 109.96/58.85 | (52) ~ (e3 = e2)
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (7050), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (5199) all_0_29_29 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (5199) can reduce 479 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.85 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (7056), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (2551) all_0_34_34 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (2551,601) yields a new equation:
% 109.96/58.85 | (798) e4 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (798) can reduce 21 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (4340) ~ (all_0_34_34 = e2)
% 109.96/58.85 | (705) all_0_39_39 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (701,705) yields a new equation:
% 109.96/58.85 | (614) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 614 yields:
% 109.96/58.85 | (615) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (615) can reduce 52 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (1002) ~ (all_0_37_37 = e4)
% 109.96/58.85 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (7045), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (7046) all_0_24_24 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (488,7046) yields a new equation:
% 109.96/58.85 | (525) e2 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (525) can reduce 336 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (446) ~ (all_0_24_24 = e2)
% 109.96/58.85 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (488) can reduce 446 to:
% 109.96/58.85 | (496) ~ (e2 = e0)
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 496 yields:
% 109.96/58.85 | (336) ~ (e2 = e0)
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (304), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (646) all_0_30_30 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (646) can reduce 650 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (650) ~ (all_0_30_30 = e0)
% 109.96/58.85 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (51), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (793) all_0_17_17 = e4
% 109.96/58.85 |
% 109.96/58.85 | Equations (793) can reduce 456 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (456) ~ (all_0_17_17 = e4)
% 109.96/58.85 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (651), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (529) all_0_31_31 = e0
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (414,529) yields a new equation:
% 109.96/58.85 | (530) e1 = e0
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 530 yields:
% 109.96/58.85 | (531) e1 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (531) can reduce 40 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (533) ~ (all_0_31_31 = e0)
% 109.96/58.85 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (657), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (658) all_0_32_32 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (658) can reduce 604 to:
% 109.96/58.85 | (543) ~ (e4 = e0)
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 543 yields:
% 109.96/58.85 | (267) ~ (e4 = e0)
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (796), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (797) all_0_22_22 = e4
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (442,797) yields a new equation:
% 109.96/58.85 | (798) e4 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (798) can reduce 21 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (800) ~ (all_0_22_22 = e4)
% 109.96/58.85 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (169), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (857) ~ (all_0_27_27 = e1)
% 109.96/58.85 |
% 109.96/58.85 | Equations (816) can reduce 857 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (816) all_0_27_27 = e1
% 109.96/58.85 | (864) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e3)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e0))
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (801), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (804) all_0_27_27 = e4
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (816,804) yields a new equation:
% 109.96/58.85 | (838) e4 = e1
% 109.96/58.85 |
% 109.96/58.85 | Equations (838) can reduce 56 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (785) ~ (all_0_27_27 = e4)
% 109.96/58.85 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (841), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (609) all_0_32_32 = e4
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (658,609) yields a new equation:
% 109.96/58.85 | (515) e4 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (515) can reduce 267 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (604) ~ (all_0_32_32 = e4)
% 109.96/58.85 | (847) all_0_37_37 = e4
% 109.96/58.85 |
% 109.96/58.85 | Equations (847) can reduce 1002 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (889) ~ (all_0_32_32 = e0)
% 109.96/58.85 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (2544), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (1463) all_0_33_33 = e0
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (1463,637) yields a new equation:
% 109.96/58.85 | (525) e2 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (525) can reduce 336 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (2612) ~ (all_0_33_33 = e0)
% 109.96/58.85 | (4345) all_0_34_34 = e0
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (601,4345) yields a new equation:
% 109.96/58.85 | (743) e4 = e0
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 743 yields:
% 109.96/58.85 | (515) e4 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (515) can reduce 267 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (1189) ~ (all_0_18_18 = e3)
% 109.96/58.85 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (179), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (711) all_0_15_15 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (711,736) yields a new equation:
% 109.96/58.85 | (524) e2 = e0
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 524 yields:
% 109.96/58.85 | (525) e2 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (525) can reduce 336 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (769) ~ (all_0_15_15 = e2)
% 109.96/58.85 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (1529), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (1530) all_0_20_20 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (500,1530) yields a new equation:
% 109.96/58.85 | (1531) e4 = e2
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 1531 yields:
% 109.96/58.85 | (798) e4 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (798) can reduce 21 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (444) ~ (all_0_20_20 = e2)
% 109.96/58.85 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (1742), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (3107) all_0_23_23 = e3
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (427,3107) yields a new equation:
% 109.96/58.85 | (928) e3 = e1
% 109.96/58.85 |
% 109.96/58.85 | Equations (928) can reduce 298 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (1361) ~ (all_0_23_23 = e3)
% 109.96/58.85 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (1535), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (1536) all_0_25_25 = e2
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (1698,1536) yields a new equation:
% 109.96/58.85 | (614) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 614 yields:
% 109.96/58.85 | (615) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (615) can reduce 52 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (473) ~ (all_0_25_25 = e2)
% 109.96/58.85 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (1698) can reduce 473 to:
% 109.96/58.85 | (52) ~ (e3 = e2)
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (3112), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (1106) all_0_28_28 = e3
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (1106,1125) yields a new equation:
% 109.96/58.85 | (647) e3 = e0
% 109.96/58.85 |
% 109.96/58.85 | Simplifying 647 yields:
% 109.96/58.85 | (648) e3 = e0
% 109.96/58.85 |
% 109.96/58.85 | Equations (648) can reduce 80 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (893) ~ (all_0_28_28 = e3)
% 109.96/58.85 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (3201), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (1360) all_0_33_33 = e3
% 109.96/58.85 |
% 109.96/58.85 | Combining equations (637,1360) yields a new equation:
% 109.96/58.85 | (615) e3 = e2
% 109.96/58.85 |
% 109.96/58.85 | Equations (615) can reduce 52 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (574) ~ (all_0_33_33 = e3)
% 109.96/58.85 | (3208) all_0_38_38 = e3
% 109.96/58.85 |
% 109.96/58.85 | Equations (3208) can reduce 3095 to:
% 109.96/58.85 | (400) $false
% 109.96/58.85 |
% 109.96/58.85 |-The branch is then unsatisfiable
% 109.96/58.85 |-Branch two:
% 109.96/58.85 | (2554) ~ (all_0_34_34 = e4)
% 109.96/58.85 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.96/58.85 |
% 109.96/58.85 +-Applying beta-rule and splitting (2555), into two cases.
% 109.96/58.85 |-Branch one:
% 109.96/58.85 | (2571) all_0_34_34 = e3
% 109.96/58.85 |
% 109.96/58.86 | Equations (2571) can reduce 583 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (583) ~ (all_0_34_34 = e3)
% 109.96/58.86 | (2574) all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (2574), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (2551) all_0_34_34 = e2
% 109.96/58.86 |
% 109.96/58.86 | Equations (2551) can reduce 4340 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (4340) ~ (all_0_34_34 = e2)
% 109.96/58.86 | (4341) all_0_34_34 = e1 | all_0_34_34 = e0
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (4341), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (4342) all_0_34_34 = e1
% 109.96/58.86 |
% 109.96/58.86 | Equations (4342) can reduce 421 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (421) ~ (all_0_34_34 = e1)
% 109.96/58.86 | (4345) all_0_34_34 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (4345) can reduce 495 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (577) ~ (all_0_25_25 = e3)
% 109.96/58.86 | (3006) all_0_26_26 = e3 | all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (3006), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (3007) all_0_26_26 = e3
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (471,3007) yields a new equation:
% 109.96/58.86 | (615) e3 = e2
% 109.96/58.86 |
% 109.96/58.86 | Equations (615) can reduce 52 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (3010) ~ (all_0_26_26 = e3)
% 109.96/58.86 | (3011) all_0_27_27 = e3 | all_0_28_28 = e3 | all_0_29_29 = e3
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (3011), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (808) all_0_27_27 = e3
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (808,816) yields a new equation:
% 109.96/58.86 | (1113) e3 = e1
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 1113 yields:
% 109.96/58.86 | (928) e3 = e1
% 109.96/58.86 |
% 109.96/58.86 | Equations (928) can reduce 298 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (573) ~ (all_0_27_27 = e3)
% 109.96/58.86 | (3016) all_0_28_28 = e3 | all_0_29_29 = e3
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (3016), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (1106) all_0_28_28 = e3
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (1125,1106) yields a new equation:
% 109.96/58.86 | (648) e3 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (648) can reduce 80 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (893) ~ (all_0_28_28 = e3)
% 109.96/58.86 | (3056) all_0_29_29 = e3
% 109.96/58.86 |
% 109.96/58.86 | Equations (3056) can reduce 3115 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.96/58.86 |
% 109.96/58.86 | Applying alpha-rule on (1448) yields:
% 109.96/58.86 | (995) all_0_27_27 = e0
% 109.96/58.86 | (705) all_0_39_39 = e2
% 109.96/58.86 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (701,705) yields a new equation:
% 109.96/58.86 | (614) e3 = e2
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 614 yields:
% 109.96/58.86 | (615) e3 = e2
% 109.96/58.86 |
% 109.96/58.86 | Equations (615) can reduce 52 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Applying alpha-rule on (1455) yields:
% 109.96/58.86 | (995) all_0_27_27 = e0
% 109.96/58.86 | (705) all_0_39_39 = e2
% 109.96/58.86 | (538) ~ (all_0_37_37 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (701,705) yields a new equation:
% 109.96/58.86 | (614) e3 = e2
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 614 yields:
% 109.96/58.86 | (615) e3 = e2
% 109.96/58.86 |
% 109.96/58.86 | Equations (615) can reduce 52 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.96/58.86 |
% 109.96/58.86 | Applying alpha-rule on (1462) yields:
% 109.96/58.86 | (1463) all_0_33_33 = e0
% 109.96/58.86 | (1252) all_0_39_39 = e1
% 109.96/58.86 | (421) ~ (all_0_34_34 = e1)
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (1252,701) yields a new equation:
% 109.96/58.86 | (928) e3 = e1
% 109.96/58.86 |
% 109.96/58.86 | Equations (928) can reduce 298 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Applying alpha-rule on (1469) yields:
% 109.96/58.86 | (1463) all_0_33_33 = e0
% 109.96/58.86 | (1252) all_0_39_39 = e1
% 109.96/58.86 | (540) ~ (all_0_38_38 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (1252,701) yields a new equation:
% 109.96/58.86 | (928) e3 = e1
% 109.96/58.86 |
% 109.96/58.86 | Equations (928) can reduce 298 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (739) ~ (all_0_15_15 = e0)
% 109.96/58.86 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (123), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (736) all_0_15_15 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (736) can reduce 739 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (739) ~ (all_0_15_15 = e0)
% 109.96/58.86 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (1207), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (514) all_0_16_16 = e0
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (514,454) yields a new equation:
% 109.96/58.86 | (515) e4 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (515) can reduce 267 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (517) ~ (all_0_16_16 = e0)
% 109.96/58.86 | (1212) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (1212), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (1184) all_0_17_17 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 9 to:
% 109.96/58.86 | (10459) ~ (all_0_18_18 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 10459 yields:
% 109.96/58.86 | (1141) ~ (all_0_18_18 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 131 to:
% 109.96/58.86 | (3657) ~ (all_0_19_19 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 3657 yields:
% 109.96/58.86 | (489) ~ (all_0_19_19 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 226 to:
% 109.96/58.86 | (750) ~ (all_0_27_27 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 750 yields:
% 109.96/58.86 | (660) ~ (all_0_27_27 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 282 to:
% 109.96/58.86 | (537) ~ (all_0_37_37 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 537 yields:
% 109.96/58.86 | (538) ~ (all_0_37_37 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 456 to:
% 109.96/58.86 | (543) ~ (e4 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 543 yields:
% 109.96/58.86 | (267) ~ (e4 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (1184) can reduce 396 to:
% 109.96/58.86 | (496) ~ (e2 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 496 yields:
% 109.96/58.86 | (336) ~ (e2 = e0)
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (304), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (646) all_0_30_30 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 3 to:
% 109.96/58.86 | (739) ~ (all_0_15_15 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 62 to:
% 109.96/58.86 | (1054) ~ (all_0_25_25 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 301 to:
% 109.96/58.86 | (11228) ~ (all_0_32_32 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 11228 yields:
% 109.96/58.86 | (889) ~ (all_0_32_32 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 150 to:
% 109.96/58.86 | (9509) ~ (all_0_33_33 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 9509 yields:
% 109.96/58.86 | (2612) ~ (all_0_33_33 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 202 to:
% 109.96/58.86 | (494) ~ (all_0_34_34 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 494 yields:
% 109.96/58.86 | (495) ~ (all_0_34_34 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 15 to:
% 109.96/58.86 | (752) ~ (all_0_35_35 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 752 yields:
% 109.96/58.86 | (536) ~ (all_0_35_35 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 507 to:
% 109.96/58.86 | (543) ~ (e4 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 543 yields:
% 109.96/58.86 | (267) ~ (e4 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Equations (646) can reduce 417 to:
% 109.96/58.86 | (498) ~ (e1 = e0)
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 498 yields:
% 109.96/58.86 | (40) ~ (e1 = e0)
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (49), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (594) ~ (all_0_33_33 = e4)
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (147), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (1008) all_0_18_18 = e4
% 109.96/58.86 |
% 109.96/58.86 | Equations (1008) can reduce 458 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (458) ~ (all_0_18_18 = e4)
% 109.96/58.86 | (1012) all_0_23_23 = e4 | all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (1012), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (1022) all_0_23_23 = e4
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (1022,427) yields a new equation:
% 109.96/58.86 | (975) e4 = e1
% 109.96/58.86 |
% 109.96/58.86 | Simplifying 975 yields:
% 109.96/58.86 | (838) e4 = e1
% 109.96/58.86 |
% 109.96/58.86 | Equations (838) can reduce 56 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (1025) ~ (all_0_23_23 = e4)
% 109.96/58.86 | (1026) all_0_28_28 = e4 | all_0_33_33 = e4 | all_0_38_38 = e4
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (1026), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (854) all_0_28_28 = e4
% 109.96/58.86 |
% 109.96/58.86 | Combining equations (1125,854) yields a new equation:
% 109.96/58.86 | (515) e4 = e0
% 109.96/58.86 |
% 109.96/58.86 | Equations (515) can reduce 267 to:
% 109.96/58.86 | (400) $false
% 109.96/58.86 |
% 109.96/58.86 |-The branch is then unsatisfiable
% 109.96/58.86 |-Branch two:
% 109.96/58.86 | (883) ~ (all_0_28_28 = e4)
% 109.96/58.86 | (1840) all_0_33_33 = e4 | all_0_38_38 = e4
% 109.96/58.86 |
% 109.96/58.86 +-Applying beta-rule and splitting (1840), into two cases.
% 109.96/58.86 |-Branch one:
% 109.96/58.86 | (1322) all_0_33_33 = e4
% 109.96/58.86 |
% 109.96/58.87 | Equations (1322) can reduce 594 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (594) ~ (all_0_33_33 = e4)
% 109.96/58.87 | (1846) all_0_38_38 = e4
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 199 to:
% 109.96/58.87 | (594) ~ (all_0_33_33 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 210 to:
% 109.96/58.87 | (509) ~ (all_0_35_35 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 97 to:
% 109.96/58.87 | (1002) ~ (all_0_37_37 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 3095 to:
% 109.96/58.87 | (255) ~ (e4 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 438 to:
% 109.96/58.87 | (56) ~ (e4 = e1)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1846) can reduce 540 to:
% 109.96/58.87 | (267) ~ (e4 = e0)
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (121), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (732) all_0_35_35 = e2
% 109.96/58.87 |
% 109.96/58.87 | Equations (732) can reduce 39 to:
% 109.96/58.87 | (769) ~ (all_0_15_15 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Equations (732) can reduce 585 to:
% 109.96/58.87 | (643) ~ (e3 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Simplifying 643 yields:
% 109.96/58.87 | (52) ~ (e3 = e2)
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (148), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (761) all_0_35_35 = e1
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (732,761) yields a new equation:
% 109.96/58.87 | (620) e2 = e1
% 109.96/58.87 |
% 109.96/58.87 | Simplifying 620 yields:
% 109.96/58.87 | (621) e2 = e1
% 109.96/58.87 |
% 109.96/58.87 | Equations (621) can reduce 310 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1138) ~ (all_0_35_35 = e1)
% 109.96/58.87 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (251), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1278), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1279), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1280), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1281), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1282), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1283), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1284), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1285), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1286), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1287), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1288), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1289), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1290), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1291), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1292), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1293), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1294), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.96/58.87 |
% 109.96/58.87 +-Applying beta-rule and splitting (1295), into two cases.
% 109.96/58.87 |-Branch one:
% 109.96/58.87 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1296) yields:
% 109.96/58.87 | (1297) all_0_15_15 = e3
% 109.96/58.87 | (550) all_0_21_21 = e4
% 109.96/58.87 | (1299) ~ (all_0_16_16 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (557,550) yields a new equation:
% 109.96/58.87 | (597) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Equations (597) can reduce 255 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1303) yields:
% 109.96/58.87 | (1297) all_0_15_15 = e3
% 109.96/58.87 | (550) all_0_21_21 = e4
% 109.96/58.87 | (1306) ~ (all_0_20_20 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (557,550) yields a new equation:
% 109.96/58.87 | (597) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Equations (597) can reduce 255 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1310) yields:
% 109.96/58.87 | (711) all_0_15_15 = e2
% 109.96/58.87 | (804) all_0_27_27 = e4
% 109.96/58.87 | (456) ~ (all_0_17_17 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Equations (711) can reduce 769 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1315) yields:
% 109.96/58.87 | (711) all_0_15_15 = e2
% 109.96/58.87 | (804) all_0_27_27 = e4
% 109.96/58.87 | (473) ~ (all_0_25_25 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Equations (711) can reduce 769 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1320) yields:
% 109.96/58.87 | (969) all_0_15_15 = e1
% 109.96/58.87 | (1322) all_0_33_33 = e4
% 109.96/58.87 | (458) ~ (all_0_18_18 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1322) can reduce 594 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1326) yields:
% 109.96/58.87 | (969) all_0_15_15 = e1
% 109.96/58.87 | (1322) all_0_33_33 = e4
% 109.96/58.87 | (417) ~ (all_0_30_30 = e1)
% 109.96/58.87 |
% 109.96/58.87 | Equations (1322) can reduce 594 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1332) yields:
% 109.96/58.87 | (736) all_0_15_15 = e0
% 109.96/58.87 | (697) all_0_39_39 = e4
% 109.96/58.87 | (460) ~ (all_0_19_19 = e4)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (697,701) yields a new equation:
% 109.96/58.87 | (596) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Simplifying 596 yields:
% 109.96/58.87 | (597) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Equations (597) can reduce 255 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1339) yields:
% 109.96/58.87 | (736) all_0_15_15 = e0
% 109.96/58.87 | (697) all_0_39_39 = e4
% 109.96/58.87 | (536) ~ (all_0_35_35 = e0)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (697,701) yields a new equation:
% 109.96/58.87 | (596) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Simplifying 596 yields:
% 109.96/58.87 | (597) e4 = e3
% 109.96/58.87 |
% 109.96/58.87 | Equations (597) can reduce 255 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1346) yields:
% 109.96/58.87 | (1347) all_0_21_21 = e2
% 109.96/58.87 | (808) all_0_27_27 = e3
% 109.96/58.87 | (925) ~ (all_0_22_22 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (1347,557) yields a new equation:
% 109.96/58.87 | (615) e3 = e2
% 109.96/58.87 |
% 109.96/58.87 | Equations (615) can reduce 52 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1352) yields:
% 109.96/58.87 | (1347) all_0_21_21 = e2
% 109.96/58.87 | (808) all_0_27_27 = e3
% 109.96/58.87 | (1355) ~ (all_0_26_26 = e2)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (1347,557) yields a new equation:
% 109.96/58.87 | (615) e3 = e2
% 109.96/58.87 |
% 109.96/58.87 | Equations (615) can reduce 52 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1358) yields:
% 109.96/58.87 | (1359) all_0_21_21 = e1
% 109.96/58.87 | (1360) all_0_33_33 = e3
% 109.96/58.87 | (1361) ~ (all_0_23_23 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (1359,557) yields a new equation:
% 109.96/58.87 | (928) e3 = e1
% 109.96/58.87 |
% 109.96/58.87 | Equations (928) can reduce 298 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1367) yields:
% 109.96/58.87 | (1359) all_0_21_21 = e1
% 109.96/58.87 | (1360) all_0_33_33 = e3
% 109.96/58.87 | (1370) ~ (all_0_31_31 = e1)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (1359,557) yields a new equation:
% 109.96/58.87 | (928) e3 = e1
% 109.96/58.87 |
% 109.96/58.87 | Equations (928) can reduce 298 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1376) yields:
% 109.96/58.87 | (519) all_0_21_21 = e0
% 109.96/58.87 | (701) all_0_39_39 = e3
% 109.96/58.87 | (1379) ~ (all_0_24_24 = e3)
% 109.96/58.87 |
% 109.96/58.87 | Combining equations (519,557) yields a new equation:
% 109.96/58.87 | (648) e3 = e0
% 109.96/58.87 |
% 109.96/58.87 | Equations (648) can reduce 80 to:
% 109.96/58.87 | (400) $false
% 109.96/58.87 |
% 109.96/58.87 |-The branch is then unsatisfiable
% 109.96/58.87 |-Branch two:
% 109.96/58.87 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.96/58.87 |
% 109.96/58.87 | Applying alpha-rule on (1385) yields:
% 109.96/58.87 | (519) all_0_21_21 = e0
% 109.96/58.87 | (701) all_0_39_39 = e3
% 109.96/58.87 | (1388) ~ (all_0_36_36 = e0)
% 109.96/58.87 |
% 109.96/58.88 | Combining equations (519,557) yields a new equation:
% 109.96/58.88 | (648) e3 = e0
% 109.96/58.88 |
% 109.96/58.88 | Equations (648) can reduce 80 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1394) yields:
% 109.96/58.88 | (816) all_0_27_27 = e1
% 109.96/58.88 | (637) all_0_33_33 = e2
% 109.96/58.88 | (477) ~ (all_0_28_28 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 167 to:
% 109.96/58.88 | (762) ~ (all_0_37_37 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 762 yields:
% 109.96/58.88 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 660 to:
% 109.96/58.88 | (40) ~ (e1 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Equations (637) can reduce 594 to:
% 109.96/58.88 | (482) ~ (e4 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 482 yields:
% 109.96/58.88 | (21) ~ (e4 = e2)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (51), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (793) all_0_17_17 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (793,1184) yields a new equation:
% 109.96/58.88 | (743) e4 = e0
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 743 yields:
% 109.96/58.88 | (515) e4 = e0
% 109.96/58.88 |
% 109.96/58.88 | Equations (515) can reduce 267 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (456) ~ (all_0_17_17 = e4)
% 109.96/58.88 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (4931), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (4950) all_0_36_36 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (4950,534) yields a new equation:
% 109.96/58.88 | (530) e1 = e0
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 530 yields:
% 109.96/58.88 | (531) e1 = e0
% 109.96/58.88 |
% 109.96/58.88 | Equations (531) can reduce 40 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (423) ~ (all_0_36_36 = e1)
% 109.96/58.88 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (796), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (797) all_0_22_22 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (442,797) yields a new equation:
% 109.96/58.88 | (798) e4 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (798) can reduce 21 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (800) ~ (all_0_22_22 = e4)
% 109.96/58.88 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (4955), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (1112) all_0_37_37 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (1112) can reduce 763 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.88 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (801), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (804) all_0_27_27 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (816,804) yields a new equation:
% 109.96/58.88 | (838) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (838) can reduce 56 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (785) ~ (all_0_27_27 = e4)
% 109.96/58.88 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 785 to:
% 109.96/58.88 | (764) ~ (e4 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 764 yields:
% 109.96/58.88 | (56) ~ (e4 = e1)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (5023), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (3222) all_0_38_38 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1846,3222) yields a new equation:
% 109.96/58.88 | (975) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 975 yields:
% 109.96/58.88 | (838) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (838) can reduce 56 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (438) ~ (all_0_38_38 = e1)
% 109.96/58.88 | (1252) all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1252,701) yields a new equation:
% 109.96/58.88 | (928) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (928) can reduce 298 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1421) yields:
% 109.96/58.88 | (816) all_0_27_27 = e1
% 109.96/58.88 | (637) all_0_33_33 = e2
% 109.96/58.88 | (419) ~ (all_0_32_32 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 167 to:
% 109.96/58.88 | (762) ~ (all_0_37_37 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 762 yields:
% 109.96/58.88 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 660 to:
% 109.96/58.88 | (40) ~ (e1 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Equations (637) can reduce 594 to:
% 109.96/58.88 | (482) ~ (e4 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 482 yields:
% 109.96/58.88 | (21) ~ (e4 = e2)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (51), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (793) all_0_17_17 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (793,1184) yields a new equation:
% 109.96/58.88 | (743) e4 = e0
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 743 yields:
% 109.96/58.88 | (515) e4 = e0
% 109.96/58.88 |
% 109.96/58.88 | Equations (515) can reduce 267 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (456) ~ (all_0_17_17 = e4)
% 109.96/58.88 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (4931), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (4950) all_0_36_36 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (4950,534) yields a new equation:
% 109.96/58.88 | (530) e1 = e0
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 530 yields:
% 109.96/58.88 | (531) e1 = e0
% 109.96/58.88 |
% 109.96/58.88 | Equations (531) can reduce 40 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (423) ~ (all_0_36_36 = e1)
% 109.96/58.88 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (796), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (797) all_0_22_22 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (442,797) yields a new equation:
% 109.96/58.88 | (798) e4 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (798) can reduce 21 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (800) ~ (all_0_22_22 = e4)
% 109.96/58.88 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (4955), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (1112) all_0_37_37 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (1112) can reduce 763 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.88 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (801), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (804) all_0_27_27 = e4
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (816,804) yields a new equation:
% 109.96/58.88 | (838) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (838) can reduce 56 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (785) ~ (all_0_27_27 = e4)
% 109.96/58.88 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 109.96/58.88 |
% 109.96/58.88 | Equations (816) can reduce 785 to:
% 109.96/58.88 | (764) ~ (e4 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 764 yields:
% 109.96/58.88 | (56) ~ (e4 = e1)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (5023), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (3222) all_0_38_38 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1846,3222) yields a new equation:
% 109.96/58.88 | (975) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 975 yields:
% 109.96/58.88 | (838) e4 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (838) can reduce 56 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (438) ~ (all_0_38_38 = e1)
% 109.96/58.88 | (1252) all_0_39_39 = e1
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1252,701) yields a new equation:
% 109.96/58.88 | (928) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (928) can reduce 298 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1448) yields:
% 109.96/58.88 | (995) all_0_27_27 = e0
% 109.96/58.88 | (705) all_0_39_39 = e2
% 109.96/58.88 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (701,705) yields a new equation:
% 109.96/58.88 | (614) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 614 yields:
% 109.96/58.88 | (615) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (615) can reduce 52 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1455) yields:
% 109.96/58.88 | (995) all_0_27_27 = e0
% 109.96/58.88 | (705) all_0_39_39 = e2
% 109.96/58.88 | (538) ~ (all_0_37_37 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (701,705) yields a new equation:
% 109.96/58.88 | (614) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 614 yields:
% 109.96/58.88 | (615) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (615) can reduce 52 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1462) yields:
% 109.96/58.88 | (1463) all_0_33_33 = e0
% 109.96/58.88 | (1252) all_0_39_39 = e1
% 109.96/58.88 | (421) ~ (all_0_34_34 = e1)
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (701,1252) yields a new equation:
% 109.96/58.88 | (1113) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 1113 yields:
% 109.96/58.88 | (928) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (928) can reduce 298 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Applying alpha-rule on (1469) yields:
% 109.96/58.88 | (1463) all_0_33_33 = e0
% 109.96/58.88 | (1252) all_0_39_39 = e1
% 109.96/58.88 | (540) ~ (all_0_38_38 = e0)
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (701,1252) yields a new equation:
% 109.96/58.88 | (1113) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 1113 yields:
% 109.96/58.88 | (928) e3 = e1
% 109.96/58.88 |
% 109.96/58.88 | Equations (928) can reduce 298 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (719) ~ (all_0_35_35 = e2)
% 109.96/58.88 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (128), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (724) all_0_35_35 = e4
% 109.96/58.88 |
% 109.96/58.88 | Equations (724) can reduce 509 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (509) ~ (all_0_35_35 = e4)
% 109.96/58.88 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (179), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (711) all_0_15_15 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (711) can reduce 90 to:
% 109.96/58.88 | (714) ~ (all_0_18_18 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 714 yields:
% 109.96/58.88 | (638) ~ (all_0_18_18 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Equations (711) can reduce 319 to:
% 109.96/58.88 | (716) ~ (all_0_19_19 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 716 yields:
% 109.96/58.88 | (706) ~ (all_0_19_19 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Equations (711) can reduce 739 to:
% 109.96/58.88 | (336) ~ (e2 = e0)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (198), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (1297) all_0_15_15 = e3
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1297,711) yields a new equation:
% 109.96/58.88 | (614) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 614 yields:
% 109.96/58.88 | (615) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (615) can reduce 52 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (572) ~ (all_0_15_15 = e3)
% 109.96/58.88 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.96/58.88 |
% 109.96/58.88 | Equations (711) can reduce 572 to:
% 109.96/58.88 | (643) ~ (e3 = e2)
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 643 yields:
% 109.96/58.88 | (52) ~ (e3 = e2)
% 109.96/58.88 |
% 109.96/58.88 +-Applying beta-rule and splitting (232), into two cases.
% 109.96/58.88 |-Branch one:
% 109.96/58.88 | (1297) all_0_15_15 = e3
% 109.96/58.88 |
% 109.96/58.88 | Combining equations (1297,711) yields a new equation:
% 109.96/58.88 | (614) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Simplifying 614 yields:
% 109.96/58.88 | (615) e3 = e2
% 109.96/58.88 |
% 109.96/58.88 | Equations (615) can reduce 52 to:
% 109.96/58.88 | (400) $false
% 109.96/58.88 |
% 109.96/58.88 |-The branch is then unsatisfiable
% 109.96/58.88 |-Branch two:
% 109.96/58.88 | (572) ~ (all_0_15_15 = e3)
% 109.96/58.89 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (6683), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (6785) all_0_20_20 = e3
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (6785,500) yields a new equation:
% 109.96/58.89 | (597) e4 = e3
% 109.96/58.89 |
% 109.96/58.89 | Equations (597) can reduce 255 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (1306) ~ (all_0_20_20 = e3)
% 109.96/58.89 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 109.96/58.89 |
% 109.96/58.89 | Equations (500) can reduce 1306 to:
% 109.96/58.89 | (255) ~ (e4 = e3)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (54), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (1191) all_0_18_18 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (1191) can reduce 638 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (638) ~ (all_0_18_18 = e2)
% 109.96/58.89 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (305), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (969) all_0_15_15 = e1
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (969,711) yields a new equation:
% 109.96/58.89 | (621) e2 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (621) can reduce 310 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (679) ~ (all_0_15_15 = e1)
% 109.96/58.89 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (973), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (974) all_0_16_16 = e1
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (974,454) yields a new equation:
% 109.96/58.89 | (838) e4 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (838) can reduce 56 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (415) ~ (all_0_16_16 = e1)
% 109.96/58.89 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (979), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (980) all_0_17_17 = e1
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (1184,980) yields a new equation:
% 109.96/58.89 | (531) e1 = e0
% 109.96/58.89 |
% 109.96/58.89 | Equations (531) can reduce 40 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (817) ~ (all_0_17_17 = e1)
% 109.96/58.89 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (983), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (984) all_0_18_18 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (984) can reduce 428 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (428) ~ (all_0_18_18 = e1)
% 109.96/58.89 | (829) all_0_19_19 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (829) can reduce 174 to:
% 109.96/58.89 | (5048) ~ (all_0_29_29 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 5048 yields:
% 109.96/58.89 | (2946) ~ (all_0_29_29 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Equations (829) can reduce 1150 to:
% 109.96/58.89 | (824) ~ (e3 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 824 yields:
% 109.96/58.89 | (298) ~ (e3 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Equations (829) can reduce 706 to:
% 109.96/58.89 | (766) ~ (e2 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 766 yields:
% 109.96/58.89 | (310) ~ (e2 = e1)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (3929), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (6267) all_0_23_23 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (427,6267) yields a new equation:
% 109.96/58.89 | (621) e2 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (621) can reduce 310 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (6271) ~ (all_0_23_23 = e2)
% 109.96/58.89 | (6272) all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (427) can reduce 6271 to:
% 109.96/58.89 | (766) ~ (e2 = e1)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 766 yields:
% 109.96/58.89 | (310) ~ (e2 = e1)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (6272), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (1118) all_0_28_28 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (1118,1125) yields a new equation:
% 109.96/58.89 | (524) e2 = e0
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 524 yields:
% 109.96/58.89 | (525) e2 = e0
% 109.96/58.89 |
% 109.96/58.89 | Equations (525) can reduce 336 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (477) ~ (all_0_28_28 = e2)
% 109.96/58.89 | (6293) all_0_33_33 = e2 | all_0_38_38 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (1125) can reduce 477 to:
% 109.96/58.89 | (496) ~ (e2 = e0)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 496 yields:
% 109.96/58.89 | (336) ~ (e2 = e0)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (2769), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (3117) all_0_16_16 = e3
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (3117,454) yields a new equation:
% 109.96/58.89 | (597) e4 = e3
% 109.96/58.89 |
% 109.96/58.89 | Equations (597) can reduce 255 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (3121) ~ (all_0_16_16 = e3)
% 109.96/58.89 | (3122) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (3122), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (855) all_0_17_17 = e3
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (1184,855) yields a new equation:
% 109.96/58.89 | (648) e3 = e0
% 109.96/58.89 |
% 109.96/58.89 | Equations (648) can reduce 80 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (919) ~ (all_0_17_17 = e3)
% 109.96/58.89 | (3176) all_0_18_18 = e3 | all_0_19_19 = e3
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (3176), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (1147) all_0_18_18 = e3
% 109.96/58.89 |
% 109.96/58.89 | Equations (1147) can reduce 638 to:
% 109.96/58.89 | (52) ~ (e3 = e2)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (88), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (941) all_0_29_29 = e4
% 109.96/58.89 |
% 109.96/58.89 | Equations (941) can reduce 84 to:
% 109.96/58.89 | (2566) ~ (all_0_34_34 = e4)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 2566 yields:
% 109.96/58.89 | (2554) ~ (all_0_34_34 = e4)
% 109.96/58.89 |
% 109.96/58.89 | Equations (941) can reduce 479 to:
% 109.96/58.89 | (21) ~ (e4 = e2)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (168), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (1163) all_0_19_19 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (829,1163) yields a new equation:
% 109.96/58.89 | (621) e2 = e1
% 109.96/58.89 |
% 109.96/58.89 | Equations (621) can reduce 310 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (706) ~ (all_0_19_19 = e2)
% 109.96/58.89 | (7045) all_0_24_24 = e2 | all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (7045), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (7046) all_0_24_24 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (488,7046) yields a new equation:
% 109.96/58.89 | (525) e2 = e0
% 109.96/58.89 |
% 109.96/58.89 | Equations (525) can reduce 336 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (446) ~ (all_0_24_24 = e2)
% 109.96/58.89 | (7050) all_0_29_29 = e2 | all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (7050), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (5199) all_0_29_29 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (941,5199) yields a new equation:
% 109.96/58.89 | (1531) e4 = e2
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 1531 yields:
% 109.96/58.89 | (798) e4 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (798) can reduce 21 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.89 | (7056) all_0_34_34 = e2 | all_0_39_39 = e2
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (7056), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (2551) all_0_34_34 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (2551) can reduce 155 to:
% 109.96/58.89 | (671) ~ (all_0_33_33 = e2)
% 109.96/58.89 |
% 109.96/58.89 | Equations (2551) can reduce 2554 to:
% 109.96/58.89 | (482) ~ (e4 = e2)
% 109.96/58.89 |
% 109.96/58.89 | Simplifying 482 yields:
% 109.96/58.89 | (21) ~ (e4 = e2)
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (6293), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (637) all_0_33_33 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (637) can reduce 671 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (671) ~ (all_0_33_33 = e2)
% 109.96/58.89 | (3218) all_0_38_38 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (3218,1846) yields a new equation:
% 109.96/58.89 | (798) e4 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (798) can reduce 21 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (4340) ~ (all_0_34_34 = e2)
% 109.96/58.89 | (705) all_0_39_39 = e2
% 109.96/58.89 |
% 109.96/58.89 | Combining equations (705,701) yields a new equation:
% 109.96/58.89 | (615) e3 = e2
% 109.96/58.89 |
% 109.96/58.89 | Equations (615) can reduce 52 to:
% 109.96/58.89 | (400) $false
% 109.96/58.89 |
% 109.96/58.89 |-The branch is then unsatisfiable
% 109.96/58.89 |-Branch two:
% 109.96/58.89 | (603) ~ (all_0_29_29 = e4)
% 109.96/58.89 | (5059) all_0_29_29 = e3 | all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.96/58.89 |
% 109.96/58.89 +-Applying beta-rule and splitting (5059), into two cases.
% 109.96/58.89 |-Branch one:
% 109.96/58.89 | (3056) all_0_29_29 = e3
% 109.96/58.89 |
% 109.96/58.90 | Equations (3056) can reduce 3115 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (3115) ~ (all_0_29_29 = e3)
% 109.96/58.90 | (5198) all_0_29_29 = e2 | all_0_29_29 = e1 | all_0_29_29 = e0
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (5198), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (5199) all_0_29_29 = e2
% 109.96/58.90 |
% 109.96/58.90 | Equations (5199) can reduce 479 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.90 | (5202) all_0_29_29 = e1 | all_0_29_29 = e0
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (5202), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (4599) all_0_29_29 = e1
% 109.96/58.90 |
% 109.96/58.90 | Equations (4599) can reduce 2946 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (2946) ~ (all_0_29_29 = e1)
% 109.96/58.90 | (5206) all_0_29_29 = e0
% 109.96/58.90 |
% 109.96/58.90 | Equations (5206) can reduce 493 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (1189) ~ (all_0_18_18 = e3)
% 109.96/58.90 | (1159) all_0_19_19 = e3
% 109.96/58.90 |
% 109.96/58.90 | Combining equations (1159,829) yields a new equation:
% 109.96/58.90 | (1113) e3 = e1
% 109.96/58.90 |
% 109.96/58.90 | Simplifying 1113 yields:
% 109.96/58.90 | (928) e3 = e1
% 109.96/58.90 |
% 109.96/58.90 | Equations (928) can reduce 298 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (769) ~ (all_0_15_15 = e2)
% 109.96/58.90 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (727), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (728) all_0_35_35 = e3
% 109.96/58.90 |
% 109.96/58.90 | Equations (728) can reduce 585 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (585) ~ (all_0_35_35 = e3)
% 109.96/58.90 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (731), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (732) all_0_35_35 = e2
% 109.96/58.90 |
% 109.96/58.90 | Equations (732) can reduce 719 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (719) ~ (all_0_35_35 = e2)
% 109.96/58.90 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (735), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (761) all_0_35_35 = e1
% 109.96/58.90 |
% 109.96/58.90 | Equations (761) can reduce 585 to:
% 109.96/58.90 | (824) ~ (e3 = e1)
% 109.96/58.90 |
% 109.96/58.90 | Simplifying 824 yields:
% 109.96/58.90 | (298) ~ (e3 = e1)
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (59), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (847) all_0_37_37 = e4
% 109.96/58.90 |
% 109.96/58.90 | Equations (847) can reduce 1002 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (1002) ~ (all_0_37_37 = e4)
% 109.96/58.90 | (1007) all_0_37_37 = e3 | all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (251), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1278), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1279), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1280), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1281), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1282), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1283), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1284), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1285), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1286), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1287), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1288), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1289), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1290), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1291), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1292), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1293), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1294), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 109.96/58.90 |
% 109.96/58.90 +-Applying beta-rule and splitting (1295), into two cases.
% 109.96/58.90 |-Branch one:
% 109.96/58.90 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 109.96/58.90 |
% 109.96/58.90 | Applying alpha-rule on (1296) yields:
% 109.96/58.90 | (1297) all_0_15_15 = e3
% 109.96/58.90 | (550) all_0_21_21 = e4
% 109.96/58.90 | (1299) ~ (all_0_16_16 = e4)
% 109.96/58.90 |
% 109.96/58.90 | Combining equations (557,550) yields a new equation:
% 109.96/58.90 | (597) e4 = e3
% 109.96/58.90 |
% 109.96/58.90 | Equations (597) can reduce 255 to:
% 109.96/58.90 | (400) $false
% 109.96/58.90 |
% 109.96/58.90 |-The branch is then unsatisfiable
% 109.96/58.90 |-Branch two:
% 109.96/58.90 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 109.96/58.90 |
% 109.96/58.91 | Applying alpha-rule on (1303) yields:
% 109.96/58.91 | (1297) all_0_15_15 = e3
% 109.96/58.91 | (550) all_0_21_21 = e4
% 109.96/58.91 | (1306) ~ (all_0_20_20 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (557,550) yields a new equation:
% 109.96/58.91 | (597) e4 = e3
% 109.96/58.91 |
% 109.96/58.91 | Equations (597) can reduce 255 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1310) yields:
% 109.96/58.91 | (711) all_0_15_15 = e2
% 109.96/58.91 | (804) all_0_27_27 = e4
% 109.96/58.91 | (456) ~ (all_0_17_17 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Equations (711) can reduce 769 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1315) yields:
% 109.96/58.91 | (711) all_0_15_15 = e2
% 109.96/58.91 | (804) all_0_27_27 = e4
% 109.96/58.91 | (473) ~ (all_0_25_25 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Equations (711) can reduce 769 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1320) yields:
% 109.96/58.91 | (969) all_0_15_15 = e1
% 109.96/58.91 | (1322) all_0_33_33 = e4
% 109.96/58.91 | (458) ~ (all_0_18_18 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 594 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1326) yields:
% 109.96/58.91 | (969) all_0_15_15 = e1
% 109.96/58.91 | (1322) all_0_33_33 = e4
% 109.96/58.91 | (417) ~ (all_0_30_30 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 594 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1332) yields:
% 109.96/58.91 | (736) all_0_15_15 = e0
% 109.96/58.91 | (697) all_0_39_39 = e4
% 109.96/58.91 | (460) ~ (all_0_19_19 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (697,701) yields a new equation:
% 109.96/58.91 | (596) e4 = e3
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 596 yields:
% 109.96/58.91 | (597) e4 = e3
% 109.96/58.91 |
% 109.96/58.91 | Equations (597) can reduce 255 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1339) yields:
% 109.96/58.91 | (736) all_0_15_15 = e0
% 109.96/58.91 | (697) all_0_39_39 = e4
% 109.96/58.91 | (536) ~ (all_0_35_35 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (697,701) yields a new equation:
% 109.96/58.91 | (596) e4 = e3
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 596 yields:
% 109.96/58.91 | (597) e4 = e3
% 109.96/58.91 |
% 109.96/58.91 | Equations (597) can reduce 255 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1346) yields:
% 109.96/58.91 | (1347) all_0_21_21 = e2
% 109.96/58.91 | (808) all_0_27_27 = e3
% 109.96/58.91 | (925) ~ (all_0_22_22 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (1347,557) yields a new equation:
% 109.96/58.91 | (615) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (615) can reduce 52 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1352) yields:
% 109.96/58.91 | (1347) all_0_21_21 = e2
% 109.96/58.91 | (808) all_0_27_27 = e3
% 109.96/58.91 | (1355) ~ (all_0_26_26 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (1347,557) yields a new equation:
% 109.96/58.91 | (615) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (615) can reduce 52 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1358) yields:
% 109.96/58.91 | (1359) all_0_21_21 = e1
% 109.96/58.91 | (1360) all_0_33_33 = e3
% 109.96/58.91 | (1361) ~ (all_0_23_23 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (1359,557) yields a new equation:
% 109.96/58.91 | (928) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (928) can reduce 298 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1367) yields:
% 109.96/58.91 | (1359) all_0_21_21 = e1
% 109.96/58.91 | (1360) all_0_33_33 = e3
% 109.96/58.91 | (1370) ~ (all_0_31_31 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (1359,557) yields a new equation:
% 109.96/58.91 | (928) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (928) can reduce 298 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1376) yields:
% 109.96/58.91 | (519) all_0_21_21 = e0
% 109.96/58.91 | (701) all_0_39_39 = e3
% 109.96/58.91 | (1379) ~ (all_0_24_24 = e3)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (519,557) yields a new equation:
% 109.96/58.91 | (648) e3 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (648) can reduce 80 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1385) yields:
% 109.96/58.91 | (519) all_0_21_21 = e0
% 109.96/58.91 | (701) all_0_39_39 = e3
% 109.96/58.91 | (1388) ~ (all_0_36_36 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (519,557) yields a new equation:
% 109.96/58.91 | (648) e3 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (648) can reduce 80 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1394) yields:
% 109.96/58.91 | (816) all_0_27_27 = e1
% 109.96/58.91 | (637) all_0_33_33 = e2
% 109.96/58.91 | (477) ~ (all_0_28_28 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Equations (816) can reduce 167 to:
% 109.96/58.91 | (762) ~ (all_0_37_37 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 762 yields:
% 109.96/58.91 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1007), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (936) all_0_37_37 = e3
% 109.96/58.91 |
% 109.96/58.91 | Equations (936) can reduce 1127 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1127) ~ (all_0_37_37 = e3)
% 109.96/58.91 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1128), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (1129) all_0_37_37 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (1129) can reduce 450 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (450) ~ (all_0_37_37 = e2)
% 109.96/58.91 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1132), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (1112) all_0_37_37 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (1112) can reduce 763 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.91 | (1136) all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (1136) can reduce 538 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1421) yields:
% 109.96/58.91 | (816) all_0_27_27 = e1
% 109.96/58.91 | (637) all_0_33_33 = e2
% 109.96/58.91 | (419) ~ (all_0_32_32 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Equations (816) can reduce 167 to:
% 109.96/58.91 | (762) ~ (all_0_37_37 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 762 yields:
% 109.96/58.91 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1007), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (936) all_0_37_37 = e3
% 109.96/58.91 |
% 109.96/58.91 | Equations (936) can reduce 1127 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1127) ~ (all_0_37_37 = e3)
% 109.96/58.91 | (1128) all_0_37_37 = e2 | all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1128), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (1129) all_0_37_37 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (1129) can reduce 450 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (450) ~ (all_0_37_37 = e2)
% 109.96/58.91 | (1132) all_0_37_37 = e1 | all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (1132), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (1112) all_0_37_37 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (1112) can reduce 763 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (763) ~ (all_0_37_37 = e1)
% 109.96/58.91 | (1136) all_0_37_37 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (1136) can reduce 538 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1448) yields:
% 109.96/58.91 | (995) all_0_27_27 = e0
% 109.96/58.91 | (705) all_0_39_39 = e2
% 109.96/58.91 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (701,705) yields a new equation:
% 109.96/58.91 | (614) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 614 yields:
% 109.96/58.91 | (615) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (615) can reduce 52 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1455) yields:
% 109.96/58.91 | (995) all_0_27_27 = e0
% 109.96/58.91 | (705) all_0_39_39 = e2
% 109.96/58.91 | (538) ~ (all_0_37_37 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (701,705) yields a new equation:
% 109.96/58.91 | (614) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 614 yields:
% 109.96/58.91 | (615) e3 = e2
% 109.96/58.91 |
% 109.96/58.91 | Equations (615) can reduce 52 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1462) yields:
% 109.96/58.91 | (1463) all_0_33_33 = e0
% 109.96/58.91 | (1252) all_0_39_39 = e1
% 109.96/58.91 | (421) ~ (all_0_34_34 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (701,1252) yields a new equation:
% 109.96/58.91 | (1113) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 1113 yields:
% 109.96/58.91 | (928) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (928) can reduce 298 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Applying alpha-rule on (1469) yields:
% 109.96/58.91 | (1463) all_0_33_33 = e0
% 109.96/58.91 | (1252) all_0_39_39 = e1
% 109.96/58.91 | (540) ~ (all_0_38_38 = e0)
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (701,1252) yields a new equation:
% 109.96/58.91 | (1113) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 1113 yields:
% 109.96/58.91 | (928) e3 = e1
% 109.96/58.91 |
% 109.96/58.91 | Equations (928) can reduce 298 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1138) ~ (all_0_35_35 = e1)
% 109.96/58.91 | (1139) all_0_35_35 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (1139) can reduce 536 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (1322) all_0_33_33 = e4
% 109.96/58.91 | (4478) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e3) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 155 to:
% 109.96/58.91 | (2566) ~ (all_0_34_34 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 2566 yields:
% 109.96/58.91 | (2554) ~ (all_0_34_34 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 199 to:
% 109.96/58.91 | (1834) ~ (all_0_38_38 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Simplifying 1834 yields:
% 109.96/58.91 | (1835) ~ (all_0_38_38 = e4)
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 436 to:
% 109.96/58.91 | (56) ~ (e4 = e1)
% 109.96/58.91 |
% 109.96/58.91 | Equations (1322) can reduce 2612 to:
% 109.96/58.91 | (267) ~ (e4 = e0)
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (107), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (613) all_0_30_30 = e2
% 109.96/58.91 |
% 109.96/58.91 | Combining equations (646,613) yields a new equation:
% 109.96/58.91 | (525) e2 = e0
% 109.96/58.91 |
% 109.96/58.91 | Equations (525) can reduce 336 to:
% 109.96/58.91 | (400) $false
% 109.96/58.91 |
% 109.96/58.91 |-The branch is then unsatisfiable
% 109.96/58.91 |-Branch two:
% 109.96/58.91 | (617) ~ (all_0_30_30 = e2)
% 109.96/58.91 | (618) all_0_31_31 = e2 | all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.96/58.91 |
% 109.96/58.91 +-Applying beta-rule and splitting (248), into two cases.
% 109.96/58.91 |-Branch one:
% 109.96/58.91 | (724) all_0_35_35 = e4
% 109.96/58.91 |
% 109.96/58.92 | Equations (724) can reduce 509 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (509) ~ (all_0_35_35 = e4)
% 109.96/58.92 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (618), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (619) all_0_31_31 = e2
% 109.96/58.92 |
% 109.96/58.92 | Combining equations (414,619) yields a new equation:
% 109.96/58.92 | (621) e2 = e1
% 109.96/58.92 |
% 109.96/58.92 | Equations (621) can reduce 310 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (623) ~ (all_0_31_31 = e2)
% 109.96/58.92 | (624) all_0_32_32 = e2 | all_0_33_33 = e2 | all_0_34_34 = e2
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (263), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (601) all_0_34_34 = e4
% 109.96/58.92 |
% 109.96/58.92 | Equations (601) can reduce 2554 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (2554) ~ (all_0_34_34 = e4)
% 109.96/58.92 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (1091), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (2975) all_0_36_36 = e4
% 109.96/58.92 |
% 109.96/58.92 | Combining equations (534,2975) yields a new equation:
% 109.96/58.92 | (515) e4 = e0
% 109.96/58.92 |
% 109.96/58.92 | Equations (515) can reduce 267 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (466) ~ (all_0_36_36 = e4)
% 109.96/58.92 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (2979), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (847) all_0_37_37 = e4
% 109.96/58.92 |
% 109.96/58.92 | Equations (847) can reduce 167 to:
% 109.96/58.92 | (785) ~ (all_0_27_27 = e4)
% 109.96/58.92 |
% 109.96/58.92 | Equations (847) can reduce 211 to:
% 109.96/58.92 | (604) ~ (all_0_32_32 = e4)
% 109.96/58.92 |
% 109.96/58.92 | Equations (847) can reduce 450 to:
% 109.96/58.92 | (21) ~ (e4 = e2)
% 109.96/58.92 |
% 109.96/58.92 | Equations (847) can reduce 538 to:
% 109.96/58.92 | (267) ~ (e4 = e0)
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (624), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (625) all_0_32_32 = e2
% 109.96/58.92 |
% 109.96/58.92 | Equations (625) can reduce 448 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (448) ~ (all_0_32_32 = e2)
% 109.96/58.92 | (628) all_0_33_33 = e2 | all_0_34_34 = e2
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (628), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (637) all_0_33_33 = e2
% 109.96/58.92 |
% 109.96/58.92 | Combining equations (1322,637) yields a new equation:
% 109.96/58.92 | (1531) e4 = e2
% 109.96/58.92 |
% 109.96/58.92 | Simplifying 1531 yields:
% 109.96/58.92 | (798) e4 = e2
% 109.96/58.92 |
% 109.96/58.92 | Equations (798) can reduce 21 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (671) ~ (all_0_33_33 = e2)
% 109.96/58.92 | (2551) all_0_34_34 = e2
% 109.96/58.92 |
% 109.96/58.92 | Equations (2551) can reduce 84 to:
% 109.96/58.92 | (479) ~ (all_0_29_29 = e2)
% 109.96/58.92 |
% 109.96/58.92 | Equations (2551) can reduce 132 to:
% 109.96/58.92 | (448) ~ (all_0_32_32 = e2)
% 109.96/58.92 |
% 109.96/58.92 | Equations (2551) can reduce 2554 to:
% 109.96/58.92 | (482) ~ (e4 = e2)
% 109.96/58.92 |
% 109.96/58.92 | Simplifying 482 yields:
% 109.96/58.92 | (21) ~ (e4 = e2)
% 109.96/58.92 |
% 109.96/58.92 | Equations (2551) can reduce 421 to:
% 109.96/58.92 | (310) ~ (e2 = e1)
% 109.96/58.92 |
% 109.96/58.92 | Equations (2551) can reduce 495 to:
% 109.96/58.92 | (336) ~ (e2 = e0)
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (102), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (1147) all_0_18_18 = e3
% 109.96/58.92 |
% 109.96/58.92 | Equations (1147) can reduce 90 to:
% 109.96/58.92 | (572) ~ (all_0_15_15 = e3)
% 109.96/58.92 |
% 109.96/58.92 | Equations (1147) can reduce 172 to:
% 109.96/58.92 | (1149) ~ (all_0_19_19 = e3)
% 109.96/58.92 |
% 109.96/58.92 | Simplifying 1149 yields:
% 109.96/58.92 | (1150) ~ (all_0_19_19 = e3)
% 109.96/58.92 |
% 109.96/58.92 | Equations (1147) can reduce 428 to:
% 109.96/58.92 | (298) ~ (e3 = e1)
% 109.96/58.92 |
% 109.96/58.92 | Equations (1147) can reduce 1141 to:
% 109.96/58.92 | (80) ~ (e3 = e0)
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (275), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (594) ~ (all_0_33_33 = e4)
% 109.96/58.92 |
% 109.96/58.92 | Equations (1322) can reduce 594 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (1322) all_0_33_33 = e4
% 109.96/58.92 | (4355) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (149), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (594) ~ (all_0_33_33 = e4)
% 109.96/58.92 |
% 109.96/58.92 | Equations (1322) can reduce 594 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (1322) all_0_33_33 = e4
% 109.96/58.92 | (4470) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (55), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (590) all_0_25_25 = e4
% 109.96/58.92 |
% 109.96/58.92 | Equations (590) can reduce 505 to:
% 109.96/58.92 | (400) $false
% 109.96/58.92 |
% 109.96/58.92 |-The branch is then unsatisfiable
% 109.96/58.92 |-Branch two:
% 109.96/58.92 | (505) ~ (all_0_25_25 = e4)
% 109.96/58.92 | (790) all_0_26_26 = e4 | all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (4355), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (27839) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2))
% 109.96/58.92 |
% 109.96/58.92 +-Applying beta-rule and splitting (27839), into two cases.
% 109.96/58.92 |-Branch one:
% 109.96/58.92 | (27840) all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3
% 109.96/58.92 |
% 109.96/58.92 | Applying alpha-rule on (27840) yields:
% 109.96/58.92 | (27841) all_0_4_4 = all_0_30_30
% 109.96/58.92 | (27842) ~ (all_0_3_3 = e0)
% 109.96/58.93 | (27843) op(all_0_30_30, e1) = all_0_3_3
% 109.96/58.93 |
% 110.03/58.93 | Combining equations (646,27841) yields a new equation:
% 110.03/58.93 | (27844) all_0_4_4 = e0
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (160), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (711) all_0_15_15 = e2
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 319 to:
% 110.03/58.93 | (716) ~ (all_0_19_19 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 716 yields:
% 110.03/58.93 | (706) ~ (all_0_19_19 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 42 to:
% 110.03/58.93 | (4484) ~ (all_0_25_25 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 4484 yields:
% 110.03/58.93 | (473) ~ (all_0_25_25 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 501 to:
% 110.03/58.93 | (482) ~ (e4 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 482 yields:
% 110.03/58.93 | (21) ~ (e4 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 572 to:
% 110.03/58.93 | (643) ~ (e3 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 643 yields:
% 110.03/58.93 | (52) ~ (e3 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 739 to:
% 110.03/58.93 | (336) ~ (e2 = e0)
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (790), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (832) all_0_26_26 = e4
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (471,832) yields a new equation:
% 110.03/58.93 | (798) e4 = e2
% 110.03/58.93 |
% 110.03/58.93 | Equations (798) can reduce 21 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (464) ~ (all_0_26_26 = e4)
% 110.03/58.93 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (305), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (969) all_0_15_15 = e1
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (969,711) yields a new equation:
% 110.03/58.93 | (621) e2 = e1
% 110.03/58.93 |
% 110.03/58.93 | Equations (621) can reduce 310 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.93 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (973), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (974) all_0_16_16 = e1
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (454,974) yields a new equation:
% 110.03/58.93 | (975) e4 = e1
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 975 yields:
% 110.03/58.93 | (838) e4 = e1
% 110.03/58.93 |
% 110.03/58.93 | Equations (838) can reduce 56 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (415) ~ (all_0_16_16 = e1)
% 110.03/58.93 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (979), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (980) all_0_17_17 = e1
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (980,1184) yields a new equation:
% 110.03/58.93 | (530) e1 = e0
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 530 yields:
% 110.03/58.93 | (531) e1 = e0
% 110.03/58.93 |
% 110.03/58.93 | Equations (531) can reduce 40 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (817) ~ (all_0_17_17 = e1)
% 110.03/58.93 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (983), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (984) all_0_18_18 = e1
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (984,1147) yields a new equation:
% 110.03/58.93 | (928) e3 = e1
% 110.03/58.93 |
% 110.03/58.93 | Equations (928) can reduce 298 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (428) ~ (all_0_18_18 = e1)
% 110.03/58.93 | (829) all_0_19_19 = e1
% 110.03/58.93 |
% 110.03/58.93 | Equations (829) can reduce 174 to:
% 110.03/58.93 | (5048) ~ (all_0_29_29 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 5048 yields:
% 110.03/58.93 | (2946) ~ (all_0_29_29 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Equations (829) can reduce 1150 to:
% 110.03/58.93 | (824) ~ (e3 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 824 yields:
% 110.03/58.93 | (298) ~ (e3 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Equations (829) can reduce 706 to:
% 110.03/58.93 | (766) ~ (e2 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 766 yields:
% 110.03/58.93 | (310) ~ (e2 = e1)
% 110.03/58.93 |
% 110.03/58.93 | Equations (829) can reduce 489 to:
% 110.03/58.93 | (40) ~ (e1 = e0)
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (836), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (804) all_0_27_27 = e4
% 110.03/58.93 |
% 110.03/58.93 | Equations (804) can reduce 785 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.93 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (853), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (854) all_0_28_28 = e4
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (1125,854) yields a new equation:
% 110.03/58.93 | (515) e4 = e0
% 110.03/58.93 |
% 110.03/58.93 | Equations (515) can reduce 267 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (883) ~ (all_0_28_28 = e4)
% 110.03/58.93 | (941) all_0_29_29 = e4
% 110.03/58.93 |
% 110.03/58.93 | Equations (941) can reduce 7 to:
% 110.03/58.93 | (505) ~ (all_0_25_25 = e4)
% 110.03/58.93 |
% 110.03/58.93 | Equations (941) can reduce 53 to:
% 110.03/58.93 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.93 |
% 110.03/58.93 | Equations (941) can reduce 3115 to:
% 110.03/58.93 | (255) ~ (e4 = e3)
% 110.03/58.93 |
% 110.03/58.93 | Equations (941) can reduce 479 to:
% 110.03/58.93 | (21) ~ (e4 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (941) can reduce 2946 to:
% 110.03/58.93 | (56) ~ (e4 = e1)
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (232), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (1297) all_0_15_15 = e3
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (1297,711) yields a new equation:
% 110.03/58.93 | (614) e3 = e2
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 614 yields:
% 110.03/58.93 | (615) e3 = e2
% 110.03/58.93 |
% 110.03/58.93 | Equations (615) can reduce 52 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (572) ~ (all_0_15_15 = e3)
% 110.03/58.93 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (6683), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (6785) all_0_20_20 = e3
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (500,6785) yields a new equation:
% 110.03/58.93 | (596) e4 = e3
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 596 yields:
% 110.03/58.93 | (597) e4 = e3
% 110.03/58.93 |
% 110.03/58.93 | Equations (597) can reduce 255 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (1306) ~ (all_0_20_20 = e3)
% 110.03/58.93 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (6789), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (1698) all_0_25_25 = e3
% 110.03/58.93 |
% 110.03/58.93 | Equations (1698) can reduce 122 to:
% 110.03/58.93 | (19166) ~ (all_0_27_27 = e3)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 19166 yields:
% 110.03/58.93 | (573) ~ (all_0_27_27 = e3)
% 110.03/58.93 |
% 110.03/58.93 | Equations (1698) can reduce 505 to:
% 110.03/58.93 | (558) ~ (e4 = e3)
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 558 yields:
% 110.03/58.93 | (255) ~ (e4 = e3)
% 110.03/58.93 |
% 110.03/58.93 | Equations (1698) can reduce 473 to:
% 110.03/58.93 | (52) ~ (e3 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (1698) can reduce 1054 to:
% 110.03/58.93 | (80) ~ (e3 = e0)
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (284), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (769) ~ (all_0_15_15 = e2)
% 110.03/58.93 |
% 110.03/58.93 | Equations (711) can reduce 769 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (711) all_0_15_15 = e2
% 110.03/58.93 | (780) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (142), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (855) all_0_17_17 = e3
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (855,1184) yields a new equation:
% 110.03/58.93 | (647) e3 = e0
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 647 yields:
% 110.03/58.93 | (648) e3 = e0
% 110.03/58.93 |
% 110.03/58.93 | Equations (648) can reduce 80 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (919) ~ (all_0_17_17 = e3)
% 110.03/58.93 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (920), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (921) all_0_22_22 = e3
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (921,442) yields a new equation:
% 110.03/58.93 | (614) e3 = e2
% 110.03/58.93 |
% 110.03/58.93 | Simplifying 614 yields:
% 110.03/58.93 | (615) e3 = e2
% 110.03/58.93 |
% 110.03/58.93 | Equations (615) can reduce 52 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (925) ~ (all_0_22_22 = e3)
% 110.03/58.93 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (175), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (804) all_0_27_27 = e4
% 110.03/58.93 |
% 110.03/58.93 | Equations (804) can reduce 785 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.93 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (807), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (808) all_0_27_27 = e3
% 110.03/58.93 |
% 110.03/58.93 | Equations (808) can reduce 573 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (573) ~ (all_0_27_27 = e3)
% 110.03/58.93 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (114), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (969) all_0_15_15 = e1
% 110.03/58.93 |
% 110.03/58.93 | Combining equations (969,711) yields a new equation:
% 110.03/58.93 | (621) e2 = e1
% 110.03/58.93 |
% 110.03/58.93 | Equations (621) can reduce 310 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.93 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (811), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.93 | (812) all_0_27_27 = e2
% 110.03/58.93 |
% 110.03/58.93 | Equations (812) can reduce 475 to:
% 110.03/58.93 | (400) $false
% 110.03/58.93 |
% 110.03/58.93 |-The branch is then unsatisfiable
% 110.03/58.93 |-Branch two:
% 110.03/58.93 | (475) ~ (all_0_27_27 = e2)
% 110.03/58.93 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.93 |
% 110.03/58.93 +-Applying beta-rule and splitting (4470), into two cases.
% 110.03/58.93 |-Branch one:
% 110.03/58.94 | (27955) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (27955), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (27956) all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3
% 110.03/58.94 |
% 110.03/58.94 | Applying alpha-rule on (27956) yields:
% 110.03/58.94 | (27841) all_0_4_4 = all_0_30_30
% 110.03/58.94 | (12177) ~ (all_0_3_3 = e2)
% 110.03/58.94 | (27843) op(all_0_30_30, e1) = all_0_3_3
% 110.03/58.94 |
% 110.03/58.94 | Combining equations (27841,27844) yields a new equation:
% 110.03/58.94 | (27960) all_0_30_30 = e0
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 27960 yields:
% 110.03/58.94 | (646) all_0_30_30 = e0
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (1402), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (1490) all_0_20_20 = e1
% 110.03/58.94 |
% 110.03/58.94 | Combining equations (1490,500) yields a new equation:
% 110.03/58.94 | (838) e4 = e1
% 110.03/58.94 |
% 110.03/58.94 | Equations (838) can reduce 56 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (429) ~ (all_0_20_20 = e1)
% 110.03/58.94 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (926), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (808) all_0_27_27 = e3
% 110.03/58.94 |
% 110.03/58.94 | Equations (808) can reduce 573 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (573) ~ (all_0_27_27 = e3)
% 110.03/58.94 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (1494), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (1495) all_0_25_25 = e1
% 110.03/58.94 |
% 110.03/58.94 | Combining equations (1698,1495) yields a new equation:
% 110.03/58.94 | (1113) e3 = e1
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 1113 yields:
% 110.03/58.94 | (928) e3 = e1
% 110.03/58.94 |
% 110.03/58.94 | Equations (928) can reduce 298 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (1519) ~ (all_0_25_25 = e1)
% 110.03/58.94 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (1520), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (1521) all_0_30_30 = e1
% 110.03/58.94 |
% 110.03/58.94 | Combining equations (646,1521) yields a new equation:
% 110.03/58.94 | (531) e1 = e0
% 110.03/58.94 |
% 110.03/58.94 | Equations (531) can reduce 40 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (417) ~ (all_0_30_30 = e1)
% 110.03/58.94 | (761) all_0_35_35 = e1
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (815), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (816) all_0_27_27 = e1
% 110.03/58.94 |
% 110.03/58.94 | Equations (816) can reduce 170 to:
% 110.03/58.94 | (418) ~ (all_0_32_32 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 418 yields:
% 110.03/58.94 | (419) ~ (all_0_32_32 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Equations (816) can reduce 785 to:
% 110.03/58.94 | (764) ~ (e4 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 764 yields:
% 110.03/58.94 | (56) ~ (e4 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Equations (816) can reduce 475 to:
% 110.03/58.94 | (766) ~ (e2 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 766 yields:
% 110.03/58.94 | (310) ~ (e2 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Equations (816) can reduce 660 to:
% 110.03/58.94 | (40) ~ (e1 = e0)
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (141), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (857) ~ (all_0_27_27 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Equations (816) can reduce 857 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (816) all_0_27_27 = e1
% 110.03/58.94 | (9297) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (931), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (629) all_0_32_32 = e3
% 110.03/58.94 |
% 110.03/58.94 | Equations (629) can reduce 448 to:
% 110.03/58.94 | (52) ~ (e3 = e2)
% 110.03/58.94 |
% 110.03/58.94 | Equations (629) can reduce 419 to:
% 110.03/58.94 | (298) ~ (e3 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Equations (629) can reduce 889 to:
% 110.03/58.94 | (80) ~ (e3 = e0)
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (121), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (732) all_0_35_35 = e2
% 110.03/58.94 |
% 110.03/58.94 | Combining equations (732,761) yields a new equation:
% 110.03/58.94 | (620) e2 = e1
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 620 yields:
% 110.03/58.94 | (621) e2 = e1
% 110.03/58.94 |
% 110.03/58.94 | Equations (621) can reduce 310 to:
% 110.03/58.94 | (400) $false
% 110.03/58.94 |
% 110.03/58.94 |-The branch is then unsatisfiable
% 110.03/58.94 |-Branch two:
% 110.03/58.94 | (719) ~ (all_0_35_35 = e2)
% 110.03/58.94 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.03/58.94 |
% 110.03/58.94 | Equations (761) can reduce 719 to:
% 110.03/58.94 | (766) ~ (e2 = e1)
% 110.03/58.94 |
% 110.03/58.94 | Simplifying 766 yields:
% 110.03/58.94 | (310) ~ (e2 = e1)
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (251), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 110.03/58.94 |
% 110.03/58.94 +-Applying beta-rule and splitting (1278), into two cases.
% 110.03/58.94 |-Branch one:
% 110.03/58.94 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 110.03/58.94 |
% 110.03/58.95 +-Applying beta-rule and splitting (1279), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1280), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1281), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1282), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1283), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1284), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1285), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1286), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1287), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1288), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1289), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1290), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1291), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1292), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1293), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1294), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 110.03/58.95 |
% 110.03/58.95 +-Applying beta-rule and splitting (1295), into two cases.
% 110.03/58.95 |-Branch one:
% 110.03/58.95 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1296) yields:
% 110.03/58.95 | (1297) all_0_15_15 = e3
% 110.03/58.95 | (550) all_0_21_21 = e4
% 110.03/58.95 | (1299) ~ (all_0_16_16 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1297,711) yields a new equation:
% 110.03/58.95 | (614) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 614 yields:
% 110.03/58.95 | (615) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Equations (615) can reduce 52 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1303) yields:
% 110.03/58.95 | (1297) all_0_15_15 = e3
% 110.03/58.95 | (550) all_0_21_21 = e4
% 110.03/58.95 | (1306) ~ (all_0_20_20 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1297,711) yields a new equation:
% 110.03/58.95 | (614) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 614 yields:
% 110.03/58.95 | (615) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Equations (615) can reduce 52 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1310) yields:
% 110.03/58.95 | (711) all_0_15_15 = e2
% 110.03/58.95 | (804) all_0_27_27 = e4
% 110.03/58.95 | (456) ~ (all_0_17_17 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (816,804) yields a new equation:
% 110.03/58.95 | (838) e4 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (838) can reduce 56 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1315) yields:
% 110.03/58.95 | (711) all_0_15_15 = e2
% 110.03/58.95 | (804) all_0_27_27 = e4
% 110.03/58.95 | (473) ~ (all_0_25_25 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (816,804) yields a new equation:
% 110.03/58.95 | (838) e4 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (838) can reduce 56 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1320) yields:
% 110.03/58.95 | (969) all_0_15_15 = e1
% 110.03/58.95 | (1322) all_0_33_33 = e4
% 110.03/58.95 | (458) ~ (all_0_18_18 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (969,711) yields a new equation:
% 110.03/58.95 | (621) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (621) can reduce 310 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1326) yields:
% 110.03/58.95 | (969) all_0_15_15 = e1
% 110.03/58.95 | (1322) all_0_33_33 = e4
% 110.03/58.95 | (417) ~ (all_0_30_30 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (969,711) yields a new equation:
% 110.03/58.95 | (621) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (621) can reduce 310 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1332) yields:
% 110.03/58.95 | (736) all_0_15_15 = e0
% 110.03/58.95 | (697) all_0_39_39 = e4
% 110.03/58.95 | (460) ~ (all_0_19_19 = e4)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (736,711) yields a new equation:
% 110.03/58.95 | (525) e2 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (525) can reduce 336 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1339) yields:
% 110.03/58.95 | (736) all_0_15_15 = e0
% 110.03/58.95 | (697) all_0_39_39 = e4
% 110.03/58.95 | (536) ~ (all_0_35_35 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (736,711) yields a new equation:
% 110.03/58.95 | (525) e2 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (525) can reduce 336 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1346) yields:
% 110.03/58.95 | (1347) all_0_21_21 = e2
% 110.03/58.95 | (808) all_0_27_27 = e3
% 110.03/58.95 | (925) ~ (all_0_22_22 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1347,557) yields a new equation:
% 110.03/58.95 | (615) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (816,808) yields a new equation:
% 110.03/58.95 | (928) e3 = e1
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (615,928) yields a new equation:
% 110.03/58.95 | (620) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 620 yields:
% 110.03/58.95 | (621) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (621) can reduce 310 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1352) yields:
% 110.03/58.95 | (1347) all_0_21_21 = e2
% 110.03/58.95 | (808) all_0_27_27 = e3
% 110.03/58.95 | (1355) ~ (all_0_26_26 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1347,557) yields a new equation:
% 110.03/58.95 | (615) e3 = e2
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (816,808) yields a new equation:
% 110.03/58.95 | (928) e3 = e1
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (615,928) yields a new equation:
% 110.03/58.95 | (620) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 620 yields:
% 110.03/58.95 | (621) e2 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (621) can reduce 310 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1358) yields:
% 110.03/58.95 | (1359) all_0_21_21 = e1
% 110.03/58.95 | (1360) all_0_33_33 = e3
% 110.03/58.95 | (1361) ~ (all_0_23_23 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1359,557) yields a new equation:
% 110.03/58.95 | (928) e3 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (928) can reduce 298 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1367) yields:
% 110.03/58.95 | (1359) all_0_21_21 = e1
% 110.03/58.95 | (1360) all_0_33_33 = e3
% 110.03/58.95 | (1370) ~ (all_0_31_31 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1359,557) yields a new equation:
% 110.03/58.95 | (928) e3 = e1
% 110.03/58.95 |
% 110.03/58.95 | Equations (928) can reduce 298 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1376) yields:
% 110.03/58.95 | (519) all_0_21_21 = e0
% 110.03/58.95 | (701) all_0_39_39 = e3
% 110.03/58.95 | (1379) ~ (all_0_24_24 = e3)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (519,557) yields a new equation:
% 110.03/58.95 | (648) e3 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (648) can reduce 80 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1385) yields:
% 110.03/58.95 | (519) all_0_21_21 = e0
% 110.03/58.95 | (701) all_0_39_39 = e3
% 110.03/58.95 | (1388) ~ (all_0_36_36 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (519,557) yields a new equation:
% 110.03/58.95 | (648) e3 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (648) can reduce 80 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1394) yields:
% 110.03/58.95 | (816) all_0_27_27 = e1
% 110.03/58.95 | (637) all_0_33_33 = e2
% 110.03/58.95 | (477) ~ (all_0_28_28 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1322,637) yields a new equation:
% 110.03/58.95 | (1531) e4 = e2
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 1531 yields:
% 110.03/58.95 | (798) e4 = e2
% 110.03/58.95 |
% 110.03/58.95 | Equations (798) can reduce 21 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1421) yields:
% 110.03/58.95 | (816) all_0_27_27 = e1
% 110.03/58.95 | (637) all_0_33_33 = e2
% 110.03/58.95 | (419) ~ (all_0_32_32 = e1)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (1322,637) yields a new equation:
% 110.03/58.95 | (1531) e4 = e2
% 110.03/58.95 |
% 110.03/58.95 | Simplifying 1531 yields:
% 110.03/58.95 | (798) e4 = e2
% 110.03/58.95 |
% 110.03/58.95 | Equations (798) can reduce 21 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1448) yields:
% 110.03/58.95 | (995) all_0_27_27 = e0
% 110.03/58.95 | (705) all_0_39_39 = e2
% 110.03/58.95 | (479) ~ (all_0_29_29 = e2)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (995,816) yields a new equation:
% 110.03/58.95 | (531) e1 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (531) can reduce 40 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.95 |-Branch two:
% 110.03/58.95 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Applying alpha-rule on (1455) yields:
% 110.03/58.95 | (995) all_0_27_27 = e0
% 110.03/58.95 | (705) all_0_39_39 = e2
% 110.03/58.95 | (538) ~ (all_0_37_37 = e0)
% 110.03/58.95 |
% 110.03/58.95 | Combining equations (995,816) yields a new equation:
% 110.03/58.95 | (531) e1 = e0
% 110.03/58.95 |
% 110.03/58.95 | Equations (531) can reduce 40 to:
% 110.03/58.95 | (400) $false
% 110.03/58.95 |
% 110.03/58.95 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 110.03/58.96 |
% 110.03/58.96 | Applying alpha-rule on (1462) yields:
% 110.03/58.96 | (1463) all_0_33_33 = e0
% 110.03/58.96 | (1252) all_0_39_39 = e1
% 110.03/58.96 | (421) ~ (all_0_34_34 = e1)
% 110.03/58.96 |
% 110.03/58.96 | Combining equations (1252,701) yields a new equation:
% 110.03/58.96 | (928) e3 = e1
% 110.03/58.96 |
% 110.03/58.96 | Equations (928) can reduce 298 to:
% 110.03/58.96 | (400) $false
% 110.03/58.96 |
% 110.03/58.96 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 110.03/58.96 |
% 110.03/58.96 | Applying alpha-rule on (1469) yields:
% 110.03/58.96 | (1463) all_0_33_33 = e0
% 110.03/58.96 | (1252) all_0_39_39 = e1
% 110.03/58.96 | (540) ~ (all_0_38_38 = e0)
% 110.03/58.96 |
% 110.03/58.96 | Combining equations (1252,701) yields a new equation:
% 110.03/58.96 | (928) e3 = e1
% 110.03/58.96 |
% 110.03/58.96 | Equations (928) can reduce 298 to:
% 110.03/58.96 | (400) $false
% 110.03/58.96 |
% 110.03/58.96 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (579) ~ (all_0_32_32 = e3)
% 110.03/58.96 | (936) all_0_37_37 = e3
% 110.03/58.96 |
% 110.03/58.96 | Combining equations (847,936) yields a new equation:
% 110.03/58.96 | (596) e4 = e3
% 110.03/58.96 |
% 110.03/58.96 | Simplifying 596 yields:
% 110.03/58.96 | (597) e4 = e3
% 110.03/58.96 |
% 110.03/58.96 | Equations (597) can reduce 255 to:
% 110.03/58.96 | (400) $false
% 110.03/58.96 |
% 110.03/58.96 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (857) ~ (all_0_27_27 = e1)
% 110.03/58.96 | (995) all_0_27_27 = e0
% 110.03/58.96 |
% 110.03/58.96 | Equations (995) can reduce 660 to:
% 110.03/58.96 | (400) $false
% 110.03/58.96 |
% 110.03/58.96 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (28162) all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 110.03/58.96 |
% 110.03/58.96 | Applying alpha-rule on (28162) yields:
% 110.03/58.96 | (27841) all_0_4_4 = all_0_30_30
% 110.03/58.96 | (650) ~ (all_0_30_30 = e0)
% 110.03/58.96 |
% 110.03/58.96 | Combining equations (27841,27844) yields a new equation:
% 110.03/58.96 | (27960) all_0_30_30 = e0
% 110.03/58.96 |
% 110.03/58.96 | Simplifying 27960 yields:
% 110.03/58.96 | (646) all_0_30_30 = e0
% 110.03/58.96 |
% 110.03/58.96 | Equations (646) can reduce 650 to:
% 110.03/58.96 | (400) $false
% 110.03/58.96 |
% 110.03/58.96 |-The branch is then unsatisfiable
% 110.03/58.96 |-Branch two:
% 110.03/58.96 | (28168) all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 110.03/58.96 |
% 110.03/58.97 | Applying alpha-rule on (28168) yields:
% 110.03/58.97 | (28169) all_0_5_5 = all_0_18_18
% 110.03/58.97 | (1189) ~ (all_0_18_18 = e3)
% 110.03/58.97 |
% 110.03/58.97 | Equations (1147) can reduce 1189 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (577) ~ (all_0_25_25 = e3)
% 110.03/58.97 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (7020), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (575) all_0_30_30 = e3
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (646,575) yields a new equation:
% 110.03/58.97 | (648) e3 = e0
% 110.03/58.97 |
% 110.03/58.97 | Equations (648) can reduce 80 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (1800) ~ (all_0_30_30 = e3)
% 110.03/58.97 | (728) all_0_35_35 = e3
% 110.03/58.97 |
% 110.03/58.97 | Equations (728) can reduce 585 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (769) ~ (all_0_15_15 = e2)
% 110.03/58.97 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (158), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (6706) all_0_15_15 = e4
% 110.03/58.97 |
% 110.03/58.97 | Equations (6706) can reduce 501 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (501) ~ (all_0_15_15 = e4)
% 110.03/58.97 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (6709), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (1297) all_0_15_15 = e3
% 110.03/58.97 |
% 110.03/58.97 | Equations (1297) can reduce 572 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (572) ~ (all_0_15_15 = e3)
% 110.03/58.97 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (9969), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (711) all_0_15_15 = e2
% 110.03/58.97 |
% 110.03/58.97 | Equations (711) can reduce 769 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (769) ~ (all_0_15_15 = e2)
% 110.03/58.97 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (9982), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (969) all_0_15_15 = e1
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 42 to:
% 110.03/58.97 | (5275) ~ (all_0_25_25 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 5275 yields:
% 110.03/58.97 | (1519) ~ (all_0_25_25 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 39 to:
% 110.03/58.97 | (3855) ~ (all_0_35_35 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 3855 yields:
% 110.03/58.97 | (1138) ~ (all_0_35_35 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 501 to:
% 110.03/58.97 | (764) ~ (e4 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 764 yields:
% 110.03/58.97 | (56) ~ (e4 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 769 to:
% 110.03/58.97 | (766) ~ (e2 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 766 yields:
% 110.03/58.97 | (310) ~ (e2 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 739 to:
% 110.03/58.97 | (40) ~ (e1 = e0)
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (8), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.97 |
% 110.03/58.97 | Equations (969) can reduce 679 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (969) all_0_15_15 = e1
% 110.03/58.97 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (237), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (590) all_0_25_25 = e4
% 110.03/58.97 |
% 110.03/58.97 | Equations (590) can reduce 505 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (505) ~ (all_0_25_25 = e4)
% 110.03/58.97 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (593), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (1698) all_0_25_25 = e3
% 110.03/58.97 |
% 110.03/58.97 | Equations (1698) can reduce 473 to:
% 110.03/58.97 | (52) ~ (e3 = e2)
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (179), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (711) all_0_15_15 = e2
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (969,711) yields a new equation:
% 110.03/58.97 | (621) e2 = e1
% 110.03/58.97 |
% 110.03/58.97 | Equations (621) can reduce 310 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (769) ~ (all_0_15_15 = e2)
% 110.03/58.97 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (1529), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (1530) all_0_20_20 = e2
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (500,1530) yields a new equation:
% 110.03/58.97 | (1531) e4 = e2
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 1531 yields:
% 110.03/58.97 | (798) e4 = e2
% 110.03/58.97 |
% 110.03/58.97 | Equations (798) can reduce 21 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (444) ~ (all_0_20_20 = e2)
% 110.03/58.97 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (1535), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (1536) all_0_25_25 = e2
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (1698,1536) yields a new equation:
% 110.03/58.97 | (614) e3 = e2
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 614 yields:
% 110.03/58.97 | (615) e3 = e2
% 110.03/58.97 |
% 110.03/58.97 | Equations (615) can reduce 52 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (473) ~ (all_0_25_25 = e2)
% 110.03/58.97 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (1539), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (613) all_0_30_30 = e2
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (646,613) yields a new equation:
% 110.03/58.97 | (525) e2 = e0
% 110.03/58.97 |
% 110.03/58.97 | Equations (525) can reduce 336 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (617) ~ (all_0_30_30 = e2)
% 110.03/58.97 | (732) all_0_35_35 = e2
% 110.03/58.97 |
% 110.03/58.97 | Equations (732) can reduce 1138 to:
% 110.03/58.97 | (310) ~ (e2 = e1)
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (236), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (609) all_0_32_32 = e4
% 110.03/58.97 |
% 110.03/58.97 | Equations (609) can reduce 604 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (604) ~ (all_0_32_32 = e4)
% 110.03/58.97 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (612), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (629) all_0_32_32 = e3
% 110.03/58.97 |
% 110.03/58.97 | Equations (629) can reduce 419 to:
% 110.03/58.97 | (298) ~ (e3 = e1)
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (249), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (980) all_0_17_17 = e1
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (980,1184) yields a new equation:
% 110.03/58.97 | (530) e1 = e0
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 530 yields:
% 110.03/58.97 | (531) e1 = e0
% 110.03/58.97 |
% 110.03/58.97 | Equations (531) can reduce 40 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (817) ~ (all_0_17_17 = e1)
% 110.03/58.97 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.03/58.97 |
% 110.03/58.97 | Equations (1184) can reduce 817 to:
% 110.03/58.97 | (498) ~ (e1 = e0)
% 110.03/58.97 |
% 110.03/58.97 | Simplifying 498 yields:
% 110.03/58.97 | (40) ~ (e1 = e0)
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (148), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.97 | (761) all_0_35_35 = e1
% 110.03/58.97 |
% 110.03/58.97 | Combining equations (761,732) yields a new equation:
% 110.03/58.97 | (621) e2 = e1
% 110.03/58.97 |
% 110.03/58.97 | Equations (621) can reduce 310 to:
% 110.03/58.97 | (400) $false
% 110.03/58.97 |
% 110.03/58.97 |-The branch is then unsatisfiable
% 110.03/58.97 |-Branch two:
% 110.03/58.97 | (1138) ~ (all_0_35_35 = e1)
% 110.03/58.97 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.03/58.97 |
% 110.03/58.97 +-Applying beta-rule and splitting (43), into two cases.
% 110.03/58.97 |-Branch one:
% 110.03/58.98 | (1495) all_0_25_25 = e1
% 110.03/58.98 |
% 110.03/58.98 | Combining equations (1698,1495) yields a new equation:
% 110.03/58.98 | (1113) e3 = e1
% 110.03/58.98 |
% 110.03/58.98 | Simplifying 1113 yields:
% 110.03/58.98 | (928) e3 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (928) can reduce 298 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (1519) ~ (all_0_25_25 = e1)
% 110.03/58.98 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (1698) can reduce 1519 to:
% 110.03/58.98 | (298) ~ (e3 = e1)
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (4931), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (4950) all_0_36_36 = e1
% 110.03/58.98 |
% 110.03/58.98 | Combining equations (4950,534) yields a new equation:
% 110.03/58.98 | (530) e1 = e0
% 110.03/58.98 |
% 110.03/58.98 | Simplifying 530 yields:
% 110.03/58.98 | (531) e1 = e0
% 110.03/58.98 |
% 110.03/58.98 | Equations (531) can reduce 40 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (423) ~ (all_0_36_36 = e1)
% 110.03/58.98 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (4955), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (1112) all_0_37_37 = e1
% 110.03/58.98 |
% 110.03/58.98 | Combining equations (847,1112) yields a new equation:
% 110.03/58.98 | (975) e4 = e1
% 110.03/58.98 |
% 110.03/58.98 | Simplifying 975 yields:
% 110.03/58.98 | (838) e4 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (838) can reduce 56 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (763) ~ (all_0_37_37 = e1)
% 110.03/58.98 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (5023), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (3222) all_0_38_38 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (3222) can reduce 438 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (438) ~ (all_0_38_38 = e1)
% 110.03/58.98 | (1252) all_0_39_39 = e1
% 110.03/58.98 |
% 110.03/58.98 | Combining equations (1252,701) yields a new equation:
% 110.03/58.98 | (928) e3 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (928) can reduce 298 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (579) ~ (all_0_32_32 = e3)
% 110.03/58.98 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (632), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (625) all_0_32_32 = e2
% 110.03/58.98 |
% 110.03/58.98 | Equations (625) can reduce 448 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (448) ~ (all_0_32_32 = e2)
% 110.03/58.98 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (636), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (1108) all_0_32_32 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (1108) can reduce 419 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (419) ~ (all_0_32_32 = e1)
% 110.03/58.98 | (658) all_0_32_32 = e0
% 110.03/58.98 |
% 110.03/58.98 | Equations (658) can reduce 889 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (577) ~ (all_0_25_25 = e3)
% 110.03/58.98 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (1701), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (1536) all_0_25_25 = e2
% 110.03/58.98 |
% 110.03/58.98 | Equations (1536) can reduce 473 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (473) ~ (all_0_25_25 = e2)
% 110.03/58.98 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 110.03/58.98 |
% 110.03/58.98 +-Applying beta-rule and splitting (1705), into two cases.
% 110.03/58.98 |-Branch one:
% 110.03/58.98 | (1495) all_0_25_25 = e1
% 110.03/58.98 |
% 110.03/58.98 | Equations (1495) can reduce 1519 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (1519) ~ (all_0_25_25 = e1)
% 110.03/58.98 | (749) all_0_25_25 = e0
% 110.03/58.98 |
% 110.03/58.98 | Equations (749) can reduce 1054 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.98 | (736) all_0_15_15 = e0
% 110.03/58.98 |
% 110.03/58.98 | Equations (736) can reduce 739 to:
% 110.03/58.98 | (400) $false
% 110.03/58.98 |
% 110.03/58.98 |-The branch is then unsatisfiable
% 110.03/58.98 |-Branch two:
% 110.03/58.98 | (28306) all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e2)
% 110.03/58.98 |
% 110.03/58.98 | Applying alpha-rule on (28306) yields:
% 110.03/58.98 | (27841) all_0_4_4 = all_0_30_30
% 110.03/58.98 | (617) ~ (all_0_30_30 = e2)
% 110.03/58.98 |
% 110.03/58.98 | Combining equations (646,27841) yields a new equation:
% 110.03/58.99 | (27844) all_0_4_4 = e0
% 110.03/58.99 |
% 110.03/58.99 | Equations (646) can reduce 617 to:
% 110.03/58.99 | (496) ~ (e2 = e0)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 496 yields:
% 110.03/58.99 | (336) ~ (e2 = e0)
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (160), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (711) all_0_15_15 = e2
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 319 to:
% 110.03/58.99 | (716) ~ (all_0_19_19 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 716 yields:
% 110.03/58.99 | (706) ~ (all_0_19_19 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 42 to:
% 110.03/58.99 | (4484) ~ (all_0_25_25 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 4484 yields:
% 110.03/58.99 | (473) ~ (all_0_25_25 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 501 to:
% 110.03/58.99 | (482) ~ (e4 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 482 yields:
% 110.03/58.99 | (21) ~ (e4 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 572 to:
% 110.03/58.99 | (643) ~ (e3 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 643 yields:
% 110.03/58.99 | (52) ~ (e3 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 739 to:
% 110.03/58.99 | (336) ~ (e2 = e0)
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (790), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (832) all_0_26_26 = e4
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (471,832) yields a new equation:
% 110.03/58.99 | (798) e4 = e2
% 110.03/58.99 |
% 110.03/58.99 | Equations (798) can reduce 21 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (464) ~ (all_0_26_26 = e4)
% 110.03/58.99 | (836) all_0_27_27 = e4 | all_0_28_28 = e4 | all_0_29_29 = e4
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (305), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (969) all_0_15_15 = e1
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (969,711) yields a new equation:
% 110.03/58.99 | (621) e2 = e1
% 110.03/58.99 |
% 110.03/58.99 | Equations (621) can reduce 310 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.99 | (973) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (973), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (974) all_0_16_16 = e1
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (454,974) yields a new equation:
% 110.03/58.99 | (975) e4 = e1
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 975 yields:
% 110.03/58.99 | (838) e4 = e1
% 110.03/58.99 |
% 110.03/58.99 | Equations (838) can reduce 56 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (415) ~ (all_0_16_16 = e1)
% 110.03/58.99 | (979) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (979), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (980) all_0_17_17 = e1
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (980,1184) yields a new equation:
% 110.03/58.99 | (530) e1 = e0
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 530 yields:
% 110.03/58.99 | (531) e1 = e0
% 110.03/58.99 |
% 110.03/58.99 | Equations (531) can reduce 40 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (817) ~ (all_0_17_17 = e1)
% 110.03/58.99 | (983) all_0_18_18 = e1 | all_0_19_19 = e1
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (983), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (984) all_0_18_18 = e1
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (984,1147) yields a new equation:
% 110.03/58.99 | (928) e3 = e1
% 110.03/58.99 |
% 110.03/58.99 | Equations (928) can reduce 298 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (428) ~ (all_0_18_18 = e1)
% 110.03/58.99 | (829) all_0_19_19 = e1
% 110.03/58.99 |
% 110.03/58.99 | Equations (829) can reduce 174 to:
% 110.03/58.99 | (5048) ~ (all_0_29_29 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 5048 yields:
% 110.03/58.99 | (2946) ~ (all_0_29_29 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Equations (829) can reduce 1150 to:
% 110.03/58.99 | (824) ~ (e3 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 824 yields:
% 110.03/58.99 | (298) ~ (e3 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Equations (829) can reduce 706 to:
% 110.03/58.99 | (766) ~ (e2 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 766 yields:
% 110.03/58.99 | (310) ~ (e2 = e1)
% 110.03/58.99 |
% 110.03/58.99 | Equations (829) can reduce 489 to:
% 110.03/58.99 | (40) ~ (e1 = e0)
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (836), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (804) all_0_27_27 = e4
% 110.03/58.99 |
% 110.03/58.99 | Equations (804) can reduce 785 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.99 | (853) all_0_28_28 = e4 | all_0_29_29 = e4
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (853), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (854) all_0_28_28 = e4
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (1125,854) yields a new equation:
% 110.03/58.99 | (515) e4 = e0
% 110.03/58.99 |
% 110.03/58.99 | Equations (515) can reduce 267 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (883) ~ (all_0_28_28 = e4)
% 110.03/58.99 | (941) all_0_29_29 = e4
% 110.03/58.99 |
% 110.03/58.99 | Equations (941) can reduce 7 to:
% 110.03/58.99 | (505) ~ (all_0_25_25 = e4)
% 110.03/58.99 |
% 110.03/58.99 | Equations (941) can reduce 53 to:
% 110.03/58.99 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.99 |
% 110.03/58.99 | Equations (941) can reduce 3115 to:
% 110.03/58.99 | (255) ~ (e4 = e3)
% 110.03/58.99 |
% 110.03/58.99 | Equations (941) can reduce 479 to:
% 110.03/58.99 | (21) ~ (e4 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (941) can reduce 2946 to:
% 110.03/58.99 | (56) ~ (e4 = e1)
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (232), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (1297) all_0_15_15 = e3
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (1297,711) yields a new equation:
% 110.03/58.99 | (614) e3 = e2
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 614 yields:
% 110.03/58.99 | (615) e3 = e2
% 110.03/58.99 |
% 110.03/58.99 | Equations (615) can reduce 52 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (572) ~ (all_0_15_15 = e3)
% 110.03/58.99 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (6683), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (6785) all_0_20_20 = e3
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (500,6785) yields a new equation:
% 110.03/58.99 | (596) e4 = e3
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 596 yields:
% 110.03/58.99 | (597) e4 = e3
% 110.03/58.99 |
% 110.03/58.99 | Equations (597) can reduce 255 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (1306) ~ (all_0_20_20 = e3)
% 110.03/58.99 | (6789) all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (6789), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (1698) all_0_25_25 = e3
% 110.03/58.99 |
% 110.03/58.99 | Equations (1698) can reduce 122 to:
% 110.03/58.99 | (19166) ~ (all_0_27_27 = e3)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 19166 yields:
% 110.03/58.99 | (573) ~ (all_0_27_27 = e3)
% 110.03/58.99 |
% 110.03/58.99 | Equations (1698) can reduce 505 to:
% 110.03/58.99 | (558) ~ (e4 = e3)
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 558 yields:
% 110.03/58.99 | (255) ~ (e4 = e3)
% 110.03/58.99 |
% 110.03/58.99 | Equations (1698) can reduce 473 to:
% 110.03/58.99 | (52) ~ (e3 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (1698) can reduce 1054 to:
% 110.03/58.99 | (80) ~ (e3 = e0)
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (284), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (769) ~ (all_0_15_15 = e2)
% 110.03/58.99 |
% 110.03/58.99 | Equations (711) can reduce 769 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (711) all_0_15_15 = e2
% 110.03/58.99 | (780) (all_0_13_13 = all_0_17_17 & ~ (all_0_12_12 = e1) & op(all_0_17_17, e4) = all_0_12_12) | (all_0_13_13 = all_0_17_17 & ~ (all_0_17_17 = e0)) | (all_0_14_14 = all_0_25_25 & ~ (all_0_25_25 = e3))
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (142), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (855) all_0_17_17 = e3
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (855,1184) yields a new equation:
% 110.03/58.99 | (647) e3 = e0
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 647 yields:
% 110.03/58.99 | (648) e3 = e0
% 110.03/58.99 |
% 110.03/58.99 | Equations (648) can reduce 80 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (919) ~ (all_0_17_17 = e3)
% 110.03/58.99 | (920) all_0_22_22 = e3 | all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (920), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (921) all_0_22_22 = e3
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (921,442) yields a new equation:
% 110.03/58.99 | (614) e3 = e2
% 110.03/58.99 |
% 110.03/58.99 | Simplifying 614 yields:
% 110.03/58.99 | (615) e3 = e2
% 110.03/58.99 |
% 110.03/58.99 | Equations (615) can reduce 52 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (925) ~ (all_0_22_22 = e3)
% 110.03/58.99 | (926) all_0_27_27 = e3 | all_0_32_32 = e3 | all_0_37_37 = e3
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (175), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (804) all_0_27_27 = e4
% 110.03/58.99 |
% 110.03/58.99 | Equations (804) can reduce 785 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (785) ~ (all_0_27_27 = e4)
% 110.03/58.99 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (807), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (808) all_0_27_27 = e3
% 110.03/58.99 |
% 110.03/58.99 | Equations (808) can reduce 573 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (573) ~ (all_0_27_27 = e3)
% 110.03/58.99 | (811) all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (114), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (969) all_0_15_15 = e1
% 110.03/58.99 |
% 110.03/58.99 | Combining equations (969,711) yields a new equation:
% 110.03/58.99 | (621) e2 = e1
% 110.03/58.99 |
% 110.03/58.99 | Equations (621) can reduce 310 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (679) ~ (all_0_15_15 = e1)
% 110.03/58.99 | (1402) all_0_20_20 = e1 | all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (811), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (812) all_0_27_27 = e2
% 110.03/58.99 |
% 110.03/58.99 | Equations (812) can reduce 475 to:
% 110.03/58.99 | (400) $false
% 110.03/58.99 |
% 110.03/58.99 |-The branch is then unsatisfiable
% 110.03/58.99 |-Branch two:
% 110.03/58.99 | (475) ~ (all_0_27_27 = e2)
% 110.03/58.99 | (815) all_0_27_27 = e1 | all_0_27_27 = e0
% 110.03/58.99 |
% 110.03/58.99 +-Applying beta-rule and splitting (4470), into two cases.
% 110.03/58.99 |-Branch one:
% 110.03/58.99 | (27955) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 110.03/58.99 |
% 110.11/58.99 +-Applying beta-rule and splitting (27955), into two cases.
% 110.11/58.99 |-Branch one:
% 110.11/59.00 | (27956) all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3
% 110.11/59.00 |
% 110.11/59.00 | Applying alpha-rule on (27956) yields:
% 110.11/59.00 | (27841) all_0_4_4 = all_0_30_30
% 110.11/59.00 | (12177) ~ (all_0_3_3 = e2)
% 110.11/59.00 | (27843) op(all_0_30_30, e1) = all_0_3_3
% 110.11/59.00 |
% 110.11/59.00 | Combining equations (27841,27844) yields a new equation:
% 110.11/59.00 | (27960) all_0_30_30 = e0
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 27960 yields:
% 110.11/59.00 | (646) all_0_30_30 = e0
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1402), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1490) all_0_20_20 = e1
% 110.11/59.00 |
% 110.11/59.00 | Combining equations (1490,500) yields a new equation:
% 110.11/59.00 | (838) e4 = e1
% 110.11/59.00 |
% 110.11/59.00 | Equations (838) can reduce 56 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (429) ~ (all_0_20_20 = e1)
% 110.11/59.00 | (1494) all_0_25_25 = e1 | all_0_30_30 = e1 | all_0_35_35 = e1
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (926), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (808) all_0_27_27 = e3
% 110.11/59.00 |
% 110.11/59.00 | Equations (808) can reduce 573 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (573) ~ (all_0_27_27 = e3)
% 110.11/59.00 | (931) all_0_32_32 = e3 | all_0_37_37 = e3
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1494), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1495) all_0_25_25 = e1
% 110.11/59.00 |
% 110.11/59.00 | Combining equations (1698,1495) yields a new equation:
% 110.11/59.00 | (1113) e3 = e1
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 1113 yields:
% 110.11/59.00 | (928) e3 = e1
% 110.11/59.00 |
% 110.11/59.00 | Equations (928) can reduce 298 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.00 | (1520) all_0_30_30 = e1 | all_0_35_35 = e1
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1520), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1521) all_0_30_30 = e1
% 110.11/59.00 |
% 110.11/59.00 | Combining equations (646,1521) yields a new equation:
% 110.11/59.00 | (531) e1 = e0
% 110.11/59.00 |
% 110.11/59.00 | Equations (531) can reduce 40 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (417) ~ (all_0_30_30 = e1)
% 110.11/59.00 | (761) all_0_35_35 = e1
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (815), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (816) all_0_27_27 = e1
% 110.11/59.00 |
% 110.11/59.00 | Equations (816) can reduce 170 to:
% 110.11/59.00 | (418) ~ (all_0_32_32 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 418 yields:
% 110.11/59.00 | (419) ~ (all_0_32_32 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Equations (816) can reduce 785 to:
% 110.11/59.00 | (764) ~ (e4 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 764 yields:
% 110.11/59.00 | (56) ~ (e4 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Equations (816) can reduce 475 to:
% 110.11/59.00 | (766) ~ (e2 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 766 yields:
% 110.11/59.00 | (310) ~ (e2 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Equations (816) can reduce 660 to:
% 110.11/59.00 | (40) ~ (e1 = e0)
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (141), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (857) ~ (all_0_27_27 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Equations (816) can reduce 857 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (816) all_0_27_27 = e1
% 110.11/59.00 | (9297) (all_0_7_7 = all_0_28_28 & ~ (all_0_6_6 = e4) & op(all_0_28_28, e2) = all_0_6_6) | (all_0_7_7 = all_0_28_28 & ~ (all_0_28_28 = e0)) | (all_0_8_8 = all_0_32_32 & ~ (all_0_32_32 = e3))
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (931), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (629) all_0_32_32 = e3
% 110.11/59.00 |
% 110.11/59.00 | Equations (629) can reduce 448 to:
% 110.11/59.00 | (52) ~ (e3 = e2)
% 110.11/59.00 |
% 110.11/59.00 | Equations (629) can reduce 419 to:
% 110.11/59.00 | (298) ~ (e3 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Equations (629) can reduce 889 to:
% 110.11/59.00 | (80) ~ (e3 = e0)
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (121), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (732) all_0_35_35 = e2
% 110.11/59.00 |
% 110.11/59.00 | Combining equations (732,761) yields a new equation:
% 110.11/59.00 | (620) e2 = e1
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 620 yields:
% 110.11/59.00 | (621) e2 = e1
% 110.11/59.00 |
% 110.11/59.00 | Equations (621) can reduce 310 to:
% 110.11/59.00 | (400) $false
% 110.11/59.00 |
% 110.11/59.00 |-The branch is then unsatisfiable
% 110.11/59.00 |-Branch two:
% 110.11/59.00 | (719) ~ (all_0_35_35 = e2)
% 110.11/59.00 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.11/59.00 |
% 110.11/59.00 | Equations (761) can reduce 719 to:
% 110.11/59.00 | (766) ~ (e2 = e1)
% 110.11/59.00 |
% 110.11/59.00 | Simplifying 766 yields:
% 110.11/59.00 | (310) ~ (e2 = e1)
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (251), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1278), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1279), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1280), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 110.11/59.00 |
% 110.11/59.00 +-Applying beta-rule and splitting (1281), into two cases.
% 110.11/59.00 |-Branch one:
% 110.11/59.00 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 110.11/59.00 |
% 110.11/59.01 +-Applying beta-rule and splitting (1282), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1283), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1284), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1285), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1286), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1287), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1288), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1289), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1290), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1291), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1292), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1293), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1294), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 110.11/59.01 |
% 110.11/59.01 +-Applying beta-rule and splitting (1295), into two cases.
% 110.11/59.01 |-Branch one:
% 110.11/59.01 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1296) yields:
% 110.11/59.01 | (1297) all_0_15_15 = e3
% 110.11/59.01 | (550) all_0_21_21 = e4
% 110.11/59.01 | (1299) ~ (all_0_16_16 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1297,711) yields a new equation:
% 110.11/59.01 | (614) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 614 yields:
% 110.11/59.01 | (615) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Equations (615) can reduce 52 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1303) yields:
% 110.11/59.01 | (1297) all_0_15_15 = e3
% 110.11/59.01 | (550) all_0_21_21 = e4
% 110.11/59.01 | (1306) ~ (all_0_20_20 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1297,711) yields a new equation:
% 110.11/59.01 | (614) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 614 yields:
% 110.11/59.01 | (615) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Equations (615) can reduce 52 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1310) yields:
% 110.11/59.01 | (711) all_0_15_15 = e2
% 110.11/59.01 | (804) all_0_27_27 = e4
% 110.11/59.01 | (456) ~ (all_0_17_17 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (816,804) yields a new equation:
% 110.11/59.01 | (838) e4 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (838) can reduce 56 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1315) yields:
% 110.11/59.01 | (711) all_0_15_15 = e2
% 110.11/59.01 | (804) all_0_27_27 = e4
% 110.11/59.01 | (473) ~ (all_0_25_25 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (816,804) yields a new equation:
% 110.11/59.01 | (838) e4 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (838) can reduce 56 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1320) yields:
% 110.11/59.01 | (969) all_0_15_15 = e1
% 110.11/59.01 | (1322) all_0_33_33 = e4
% 110.11/59.01 | (458) ~ (all_0_18_18 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (969,711) yields a new equation:
% 110.11/59.01 | (621) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (621) can reduce 310 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1326) yields:
% 110.11/59.01 | (969) all_0_15_15 = e1
% 110.11/59.01 | (1322) all_0_33_33 = e4
% 110.11/59.01 | (417) ~ (all_0_30_30 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (969,711) yields a new equation:
% 110.11/59.01 | (621) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (621) can reduce 310 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1332) yields:
% 110.11/59.01 | (736) all_0_15_15 = e0
% 110.11/59.01 | (697) all_0_39_39 = e4
% 110.11/59.01 | (460) ~ (all_0_19_19 = e4)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (736,711) yields a new equation:
% 110.11/59.01 | (525) e2 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (525) can reduce 336 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1339) yields:
% 110.11/59.01 | (736) all_0_15_15 = e0
% 110.11/59.01 | (697) all_0_39_39 = e4
% 110.11/59.01 | (536) ~ (all_0_35_35 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (736,711) yields a new equation:
% 110.11/59.01 | (525) e2 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (525) can reduce 336 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1346) yields:
% 110.11/59.01 | (1347) all_0_21_21 = e2
% 110.11/59.01 | (808) all_0_27_27 = e3
% 110.11/59.01 | (925) ~ (all_0_22_22 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1347,557) yields a new equation:
% 110.11/59.01 | (615) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (816,808) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (615,928) yields a new equation:
% 110.11/59.01 | (620) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 620 yields:
% 110.11/59.01 | (621) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (621) can reduce 310 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1352) yields:
% 110.11/59.01 | (1347) all_0_21_21 = e2
% 110.11/59.01 | (808) all_0_27_27 = e3
% 110.11/59.01 | (1355) ~ (all_0_26_26 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1347,557) yields a new equation:
% 110.11/59.01 | (615) e3 = e2
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (816,808) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (615,928) yields a new equation:
% 110.11/59.01 | (620) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 620 yields:
% 110.11/59.01 | (621) e2 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (621) can reduce 310 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1358) yields:
% 110.11/59.01 | (1359) all_0_21_21 = e1
% 110.11/59.01 | (1360) all_0_33_33 = e3
% 110.11/59.01 | (1361) ~ (all_0_23_23 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1359,557) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (928) can reduce 298 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1367) yields:
% 110.11/59.01 | (1359) all_0_21_21 = e1
% 110.11/59.01 | (1360) all_0_33_33 = e3
% 110.11/59.01 | (1370) ~ (all_0_31_31 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1359,557) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (928) can reduce 298 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1376) yields:
% 110.11/59.01 | (519) all_0_21_21 = e0
% 110.11/59.01 | (701) all_0_39_39 = e3
% 110.11/59.01 | (1379) ~ (all_0_24_24 = e3)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (519,557) yields a new equation:
% 110.11/59.01 | (648) e3 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (648) can reduce 80 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1385) yields:
% 110.11/59.01 | (519) all_0_21_21 = e0
% 110.11/59.01 | (701) all_0_39_39 = e3
% 110.11/59.01 | (1388) ~ (all_0_36_36 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (519,557) yields a new equation:
% 110.11/59.01 | (648) e3 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (648) can reduce 80 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1394) yields:
% 110.11/59.01 | (816) all_0_27_27 = e1
% 110.11/59.01 | (637) all_0_33_33 = e2
% 110.11/59.01 | (477) ~ (all_0_28_28 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1322,637) yields a new equation:
% 110.11/59.01 | (1531) e4 = e2
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 1531 yields:
% 110.11/59.01 | (798) e4 = e2
% 110.11/59.01 |
% 110.11/59.01 | Equations (798) can reduce 21 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1421) yields:
% 110.11/59.01 | (816) all_0_27_27 = e1
% 110.11/59.01 | (637) all_0_33_33 = e2
% 110.11/59.01 | (419) ~ (all_0_32_32 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1322,637) yields a new equation:
% 110.11/59.01 | (1531) e4 = e2
% 110.11/59.01 |
% 110.11/59.01 | Simplifying 1531 yields:
% 110.11/59.01 | (798) e4 = e2
% 110.11/59.01 |
% 110.11/59.01 | Equations (798) can reduce 21 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1448) yields:
% 110.11/59.01 | (995) all_0_27_27 = e0
% 110.11/59.01 | (705) all_0_39_39 = e2
% 110.11/59.01 | (479) ~ (all_0_29_29 = e2)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (995,816) yields a new equation:
% 110.11/59.01 | (531) e1 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (531) can reduce 40 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1455) yields:
% 110.11/59.01 | (995) all_0_27_27 = e0
% 110.11/59.01 | (705) all_0_39_39 = e2
% 110.11/59.01 | (538) ~ (all_0_37_37 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (995,816) yields a new equation:
% 110.11/59.01 | (531) e1 = e0
% 110.11/59.01 |
% 110.11/59.01 | Equations (531) can reduce 40 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1462) yields:
% 110.11/59.01 | (1463) all_0_33_33 = e0
% 110.11/59.01 | (1252) all_0_39_39 = e1
% 110.11/59.01 | (421) ~ (all_0_34_34 = e1)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1252,701) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (928) can reduce 298 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Applying alpha-rule on (1469) yields:
% 110.11/59.01 | (1463) all_0_33_33 = e0
% 110.11/59.01 | (1252) all_0_39_39 = e1
% 110.11/59.01 | (540) ~ (all_0_38_38 = e0)
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (1252,701) yields a new equation:
% 110.11/59.01 | (928) e3 = e1
% 110.11/59.01 |
% 110.11/59.01 | Equations (928) can reduce 298 to:
% 110.11/59.01 | (400) $false
% 110.11/59.01 |
% 110.11/59.01 |-The branch is then unsatisfiable
% 110.11/59.01 |-Branch two:
% 110.11/59.01 | (579) ~ (all_0_32_32 = e3)
% 110.11/59.01 | (936) all_0_37_37 = e3
% 110.11/59.01 |
% 110.11/59.01 | Combining equations (847,936) yields a new equation:
% 110.11/59.01 | (596) e4 = e3
% 110.11/59.02 |
% 110.11/59.02 | Simplifying 596 yields:
% 110.11/59.02 | (597) e4 = e3
% 110.11/59.02 |
% 110.11/59.02 | Equations (597) can reduce 255 to:
% 110.11/59.02 | (400) $false
% 110.11/59.02 |
% 110.11/59.02 |-The branch is then unsatisfiable
% 110.11/59.02 |-Branch two:
% 110.11/59.02 | (857) ~ (all_0_27_27 = e1)
% 110.11/59.02 | (995) all_0_27_27 = e0
% 110.11/59.02 |
% 110.11/59.02 | Equations (995) can reduce 660 to:
% 110.11/59.02 | (400) $false
% 110.11/59.02 |
% 110.11/59.02 |-The branch is then unsatisfiable
% 110.11/59.02 |-Branch two:
% 110.11/59.02 | (28162) all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)
% 110.11/59.02 |
% 110.11/59.02 | Applying alpha-rule on (28162) yields:
% 110.11/59.02 | (27841) all_0_4_4 = all_0_30_30
% 110.11/59.02 | (650) ~ (all_0_30_30 = e0)
% 110.11/59.02 |
% 110.11/59.02 | Combining equations (27841,27844) yields a new equation:
% 110.11/59.02 | (27960) all_0_30_30 = e0
% 110.11/59.02 |
% 110.11/59.02 | Simplifying 27960 yields:
% 110.11/59.02 | (646) all_0_30_30 = e0
% 110.11/59.02 |
% 110.11/59.02 | Equations (646) can reduce 650 to:
% 110.11/59.02 | (400) $false
% 110.11/59.02 |
% 110.11/59.02 |-The branch is then unsatisfiable
% 110.11/59.02 |-Branch two:
% 110.11/59.02 | (28168) all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 110.11/59.02 |
% 110.11/59.02 | Applying alpha-rule on (28168) yields:
% 110.11/59.03 | (28169) all_0_5_5 = all_0_18_18
% 110.11/59.03 | (1189) ~ (all_0_18_18 = e3)
% 110.11/59.03 |
% 110.11/59.03 | Equations (1147) can reduce 1189 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (577) ~ (all_0_25_25 = e3)
% 110.11/59.03 | (7020) all_0_30_30 = e3 | all_0_35_35 = e3
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (7020), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (575) all_0_30_30 = e3
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (646,575) yields a new equation:
% 110.11/59.03 | (648) e3 = e0
% 110.11/59.03 |
% 110.11/59.03 | Equations (648) can reduce 80 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (1800) ~ (all_0_30_30 = e3)
% 110.11/59.03 | (728) all_0_35_35 = e3
% 110.11/59.03 |
% 110.11/59.03 | Equations (728) can reduce 585 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (769) ~ (all_0_15_15 = e2)
% 110.11/59.03 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (158), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (6706) all_0_15_15 = e4
% 110.11/59.03 |
% 110.11/59.03 | Equations (6706) can reduce 501 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (501) ~ (all_0_15_15 = e4)
% 110.11/59.03 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (6709), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (1297) all_0_15_15 = e3
% 110.11/59.03 |
% 110.11/59.03 | Equations (1297) can reduce 572 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (572) ~ (all_0_15_15 = e3)
% 110.11/59.03 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (9969), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (711) all_0_15_15 = e2
% 110.11/59.03 |
% 110.11/59.03 | Equations (711) can reduce 769 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (769) ~ (all_0_15_15 = e2)
% 110.11/59.03 | (9982) all_0_15_15 = e1 | all_0_15_15 = e0
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (9982), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (969) all_0_15_15 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 42 to:
% 110.11/59.03 | (5275) ~ (all_0_25_25 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 5275 yields:
% 110.11/59.03 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 39 to:
% 110.11/59.03 | (3855) ~ (all_0_35_35 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 3855 yields:
% 110.11/59.03 | (1138) ~ (all_0_35_35 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 501 to:
% 110.11/59.03 | (764) ~ (e4 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 764 yields:
% 110.11/59.03 | (56) ~ (e4 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 769 to:
% 110.11/59.03 | (766) ~ (e2 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 766 yields:
% 110.11/59.03 | (310) ~ (e2 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 739 to:
% 110.11/59.03 | (40) ~ (e1 = e0)
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (8), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (679) ~ (all_0_15_15 = e1)
% 110.11/59.03 |
% 110.11/59.03 | Equations (969) can reduce 679 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (969) all_0_15_15 = e1
% 110.11/59.03 | (14820) (all_0_13_13 = all_0_18_18 & ~ (all_0_12_12 = e3) & op(all_0_18_18, e4) = all_0_12_12) | (all_0_13_13 = all_0_18_18 & ~ (all_0_18_18 = e2)) | (all_0_14_14 = all_0_30_30 & ~ (all_0_30_30 = e0))
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (237), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (590) all_0_25_25 = e4
% 110.11/59.03 |
% 110.11/59.03 | Equations (590) can reduce 505 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (505) ~ (all_0_25_25 = e4)
% 110.11/59.03 | (593) all_0_25_25 = e3 | all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (593), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (1698) all_0_25_25 = e3
% 110.11/59.03 |
% 110.11/59.03 | Equations (1698) can reduce 473 to:
% 110.11/59.03 | (52) ~ (e3 = e2)
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (179), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (711) all_0_15_15 = e2
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (969,711) yields a new equation:
% 110.11/59.03 | (621) e2 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (621) can reduce 310 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (769) ~ (all_0_15_15 = e2)
% 110.11/59.03 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (1529), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (1530) all_0_20_20 = e2
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (500,1530) yields a new equation:
% 110.11/59.03 | (1531) e4 = e2
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 1531 yields:
% 110.11/59.03 | (798) e4 = e2
% 110.11/59.03 |
% 110.11/59.03 | Equations (798) can reduce 21 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (444) ~ (all_0_20_20 = e2)
% 110.11/59.03 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (1535), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (1536) all_0_25_25 = e2
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (1698,1536) yields a new equation:
% 110.11/59.03 | (614) e3 = e2
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 614 yields:
% 110.11/59.03 | (615) e3 = e2
% 110.11/59.03 |
% 110.11/59.03 | Equations (615) can reduce 52 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (473) ~ (all_0_25_25 = e2)
% 110.11/59.03 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (1539), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (613) all_0_30_30 = e2
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (646,613) yields a new equation:
% 110.11/59.03 | (525) e2 = e0
% 110.11/59.03 |
% 110.11/59.03 | Equations (525) can reduce 336 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (617) ~ (all_0_30_30 = e2)
% 110.11/59.03 | (732) all_0_35_35 = e2
% 110.11/59.03 |
% 110.11/59.03 | Equations (732) can reduce 1138 to:
% 110.11/59.03 | (310) ~ (e2 = e1)
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (236), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (609) all_0_32_32 = e4
% 110.11/59.03 |
% 110.11/59.03 | Equations (609) can reduce 604 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (604) ~ (all_0_32_32 = e4)
% 110.11/59.03 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (612), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (629) all_0_32_32 = e3
% 110.11/59.03 |
% 110.11/59.03 | Equations (629) can reduce 419 to:
% 110.11/59.03 | (298) ~ (e3 = e1)
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (249), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (980) all_0_17_17 = e1
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (980,1184) yields a new equation:
% 110.11/59.03 | (530) e1 = e0
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 530 yields:
% 110.11/59.03 | (531) e1 = e0
% 110.11/59.03 |
% 110.11/59.03 | Equations (531) can reduce 40 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (817) ~ (all_0_17_17 = e1)
% 110.11/59.03 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (1184) can reduce 817 to:
% 110.11/59.03 | (498) ~ (e1 = e0)
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 498 yields:
% 110.11/59.03 | (40) ~ (e1 = e0)
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (148), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (761) all_0_35_35 = e1
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (761,732) yields a new equation:
% 110.11/59.03 | (621) e2 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (621) can reduce 310 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (1138) ~ (all_0_35_35 = e1)
% 110.11/59.03 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.11/59.03 |
% 110.11/59.03 +-Applying beta-rule and splitting (43), into two cases.
% 110.11/59.03 |-Branch one:
% 110.11/59.03 | (1495) all_0_25_25 = e1
% 110.11/59.03 |
% 110.11/59.03 | Combining equations (1698,1495) yields a new equation:
% 110.11/59.03 | (1113) e3 = e1
% 110.11/59.03 |
% 110.11/59.03 | Simplifying 1113 yields:
% 110.11/59.03 | (928) e3 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (928) can reduce 298 to:
% 110.11/59.03 | (400) $false
% 110.11/59.03 |
% 110.11/59.03 |-The branch is then unsatisfiable
% 110.11/59.03 |-Branch two:
% 110.11/59.03 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.03 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.11/59.03 |
% 110.11/59.03 | Equations (1698) can reduce 1519 to:
% 110.11/59.03 | (298) ~ (e3 = e1)
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (4931), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (4950) all_0_36_36 = e1
% 110.11/59.04 |
% 110.11/59.04 | Combining equations (4950,534) yields a new equation:
% 110.11/59.04 | (530) e1 = e0
% 110.11/59.04 |
% 110.11/59.04 | Simplifying 530 yields:
% 110.11/59.04 | (531) e1 = e0
% 110.11/59.04 |
% 110.11/59.04 | Equations (531) can reduce 40 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (423) ~ (all_0_36_36 = e1)
% 110.11/59.04 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (4955), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (1112) all_0_37_37 = e1
% 110.11/59.04 |
% 110.11/59.04 | Combining equations (847,1112) yields a new equation:
% 110.11/59.04 | (975) e4 = e1
% 110.11/59.04 |
% 110.11/59.04 | Simplifying 975 yields:
% 110.11/59.04 | (838) e4 = e1
% 110.11/59.04 |
% 110.11/59.04 | Equations (838) can reduce 56 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (763) ~ (all_0_37_37 = e1)
% 110.11/59.04 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (5023), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (3222) all_0_38_38 = e1
% 110.11/59.04 |
% 110.11/59.04 | Equations (3222) can reduce 438 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (438) ~ (all_0_38_38 = e1)
% 110.11/59.04 | (1252) all_0_39_39 = e1
% 110.11/59.04 |
% 110.11/59.04 | Combining equations (1252,701) yields a new equation:
% 110.11/59.04 | (928) e3 = e1
% 110.11/59.04 |
% 110.11/59.04 | Equations (928) can reduce 298 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (579) ~ (all_0_32_32 = e3)
% 110.11/59.04 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (632), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (625) all_0_32_32 = e2
% 110.11/59.04 |
% 110.11/59.04 | Equations (625) can reduce 448 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (448) ~ (all_0_32_32 = e2)
% 110.11/59.04 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (636), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (1108) all_0_32_32 = e1
% 110.11/59.04 |
% 110.11/59.04 | Equations (1108) can reduce 419 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (419) ~ (all_0_32_32 = e1)
% 110.11/59.04 | (658) all_0_32_32 = e0
% 110.11/59.04 |
% 110.11/59.04 | Equations (658) can reduce 889 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (577) ~ (all_0_25_25 = e3)
% 110.11/59.04 | (1701) all_0_25_25 = e2 | all_0_25_25 = e1 | all_0_25_25 = e0
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (1701), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (1536) all_0_25_25 = e2
% 110.11/59.04 |
% 110.11/59.04 | Equations (1536) can reduce 473 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (473) ~ (all_0_25_25 = e2)
% 110.11/59.04 | (1705) all_0_25_25 = e1 | all_0_25_25 = e0
% 110.11/59.04 |
% 110.11/59.04 +-Applying beta-rule and splitting (1705), into two cases.
% 110.11/59.04 |-Branch one:
% 110.11/59.04 | (1495) all_0_25_25 = e1
% 110.11/59.04 |
% 110.11/59.04 | Equations (1495) can reduce 1519 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.04 | (749) all_0_25_25 = e0
% 110.11/59.04 |
% 110.11/59.04 | Equations (749) can reduce 1054 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (679) ~ (all_0_15_15 = e1)
% 110.11/59.04 | (736) all_0_15_15 = e0
% 110.11/59.04 |
% 110.11/59.04 | Equations (736) can reduce 739 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.04 |-Branch two:
% 110.11/59.04 | (28168) all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3)
% 110.11/59.04 |
% 110.11/59.04 | Applying alpha-rule on (28168) yields:
% 110.11/59.04 | (28169) all_0_5_5 = all_0_18_18
% 110.11/59.04 | (1189) ~ (all_0_18_18 = e3)
% 110.11/59.04 |
% 110.11/59.04 | Equations (1147) can reduce 1189 to:
% 110.11/59.04 | (400) $false
% 110.11/59.04 |
% 110.11/59.04 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1189) ~ (all_0_18_18 = e3)
% 110.11/59.05 | (1742) all_0_23_23 = e3 | all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (236), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (609) all_0_32_32 = e4
% 110.11/59.05 |
% 110.11/59.05 | Equations (609) can reduce 604 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (604) ~ (all_0_32_32 = e4)
% 110.11/59.05 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (612), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (629) all_0_32_32 = e3
% 110.11/59.05 |
% 110.11/59.05 | Equations (629) can reduce 604 to:
% 110.11/59.05 | (558) ~ (e4 = e3)
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 558 yields:
% 110.11/59.05 | (255) ~ (e4 = e3)
% 110.11/59.05 |
% 110.11/59.05 | Equations (629) can reduce 419 to:
% 110.11/59.05 | (298) ~ (e3 = e1)
% 110.11/59.05 |
% 110.11/59.05 | Equations (629) can reduce 889 to:
% 110.11/59.05 | (80) ~ (e3 = e0)
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1742), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (3107) all_0_23_23 = e3
% 110.11/59.05 |
% 110.11/59.05 | Combining equations (427,3107) yields a new equation:
% 110.11/59.05 | (928) e3 = e1
% 110.11/59.05 |
% 110.11/59.05 | Equations (928) can reduce 298 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1361) ~ (all_0_23_23 = e3)
% 110.11/59.05 | (3112) all_0_28_28 = e3 | all_0_33_33 = e3 | all_0_38_38 = e3
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (3112), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1106) all_0_28_28 = e3
% 110.11/59.05 |
% 110.11/59.05 | Combining equations (1125,1106) yields a new equation:
% 110.11/59.05 | (648) e3 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (648) can reduce 80 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (893) ~ (all_0_28_28 = e3)
% 110.11/59.05 | (3201) all_0_33_33 = e3 | all_0_38_38 = e3
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (3201), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1360) all_0_33_33 = e3
% 110.11/59.05 |
% 110.11/59.05 | Combining equations (1322,1360) yields a new equation:
% 110.11/59.05 | (596) e4 = e3
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 596 yields:
% 110.11/59.05 | (597) e4 = e3
% 110.11/59.05 |
% 110.11/59.05 | Equations (597) can reduce 255 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (574) ~ (all_0_33_33 = e3)
% 110.11/59.05 | (3208) all_0_38_38 = e3
% 110.11/59.05 |
% 110.11/59.05 | Equations (3208) can reduce 3095 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (579) ~ (all_0_32_32 = e3)
% 110.11/59.05 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (632), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (625) all_0_32_32 = e2
% 110.11/59.05 |
% 110.11/59.05 | Equations (625) can reduce 448 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (448) ~ (all_0_32_32 = e2)
% 110.11/59.05 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (636), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1108) all_0_32_32 = e1
% 110.11/59.05 |
% 110.11/59.05 | Equations (1108) can reduce 419 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (419) ~ (all_0_32_32 = e1)
% 110.11/59.05 | (658) all_0_32_32 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (658) can reduce 889 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1002) ~ (all_0_37_37 = e4)
% 110.11/59.05 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (2983), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1846) all_0_38_38 = e4
% 110.11/59.05 |
% 110.11/59.05 | Equations (1846) can reduce 1835 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1835) ~ (all_0_38_38 = e4)
% 110.11/59.05 | (697) all_0_39_39 = e4
% 110.11/59.05 |
% 110.11/59.05 | Combining equations (701,697) yields a new equation:
% 110.11/59.05 | (597) e4 = e3
% 110.11/59.05 |
% 110.11/59.05 | Equations (597) can reduce 255 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (650) ~ (all_0_30_30 = e0)
% 110.11/59.05 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (740), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (742) all_0_20_20 = e0
% 110.11/59.05 |
% 110.11/59.05 | Combining equations (742,500) yields a new equation:
% 110.11/59.05 | (515) e4 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (515) can reduce 267 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (490) ~ (all_0_20_20 = e0)
% 110.11/59.05 | (747) all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (747), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (749) all_0_25_25 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (749) can reduce 1054 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1054) ~ (all_0_25_25 = e0)
% 110.11/59.05 | (1201) all_0_30_30 = e0 | all_0_35_35 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1201), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (646) all_0_30_30 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (646) can reduce 650 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (650) ~ (all_0_30_30 = e0)
% 110.11/59.05 | (1139) all_0_35_35 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (1139) can reduce 536 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (659) ~ (all_0_17_17 = e0)
% 110.11/59.05 | (1216) all_0_18_18 = e0 | all_0_19_19 = e0
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1216), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (756) all_0_18_18 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (756) can reduce 1141 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (1141) ~ (all_0_18_18 = e0)
% 110.11/59.05 | (1187) all_0_19_19 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (1187) can reduce 489 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (758) ~ (all_0_28_28 = e0)
% 110.11/59.05 | (5206) all_0_29_29 = e0
% 110.11/59.05 |
% 110.11/59.05 | Equations (5206) can reduce 493 to:
% 110.11/59.05 | (400) $false
% 110.11/59.05 |
% 110.11/59.05 |-The branch is then unsatisfiable
% 110.11/59.05 |-Branch two:
% 110.11/59.05 | (995) all_0_27_27 = e0
% 110.11/59.05 | (11286) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e4) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e1))
% 110.11/59.05 |
% 110.11/59.05 | Equations (995) can reduce 53 to:
% 110.11/59.05 | (492) ~ (all_0_29_29 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 492 yields:
% 110.11/59.05 | (493) ~ (all_0_29_29 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Equations (995) can reduce 170 to:
% 110.11/59.05 | (11228) ~ (all_0_32_32 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 11228 yields:
% 110.11/59.05 | (889) ~ (all_0_32_32 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Equations (995) can reduce 167 to:
% 110.11/59.05 | (537) ~ (all_0_37_37 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 537 yields:
% 110.11/59.05 | (538) ~ (all_0_37_37 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Equations (995) can reduce 475 to:
% 110.11/59.05 | (496) ~ (e2 = e0)
% 110.11/59.05 |
% 110.11/59.05 | Simplifying 496 yields:
% 110.11/59.05 | (336) ~ (e2 = e0)
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (251), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1278), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1279), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1280), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 110.11/59.05 |
% 110.11/59.05 +-Applying beta-rule and splitting (1281), into two cases.
% 110.11/59.05 |-Branch one:
% 110.11/59.05 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1282), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1283), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1284), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1285), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1286), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1287), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1288), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1289), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1290), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1291), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1292), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1293), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1294), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (1295), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Applying alpha-rule on (1296) yields:
% 110.11/59.06 | (1297) all_0_15_15 = e3
% 110.11/59.06 | (550) all_0_21_21 = e4
% 110.11/59.06 | (1299) ~ (all_0_16_16 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (557,550) yields a new equation:
% 110.11/59.06 | (597) e4 = e3
% 110.11/59.06 |
% 110.11/59.06 | Equations (597) can reduce 255 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 110.11/59.06 |
% 110.11/59.06 | Applying alpha-rule on (1303) yields:
% 110.11/59.06 | (1297) all_0_15_15 = e3
% 110.11/59.06 | (550) all_0_21_21 = e4
% 110.11/59.06 | (1306) ~ (all_0_20_20 = e3)
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (557,550) yields a new equation:
% 110.11/59.06 | (597) e4 = e3
% 110.11/59.06 |
% 110.11/59.06 | Equations (597) can reduce 255 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Applying alpha-rule on (1310) yields:
% 110.11/59.06 | (711) all_0_15_15 = e2
% 110.11/59.06 | (804) all_0_27_27 = e4
% 110.11/59.06 | (456) ~ (all_0_17_17 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (995,804) yields a new equation:
% 110.11/59.06 | (515) e4 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (515) can reduce 267 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 110.11/59.06 |
% 110.11/59.06 | Applying alpha-rule on (1315) yields:
% 110.11/59.06 | (711) all_0_15_15 = e2
% 110.11/59.06 | (804) all_0_27_27 = e4
% 110.11/59.06 | (473) ~ (all_0_25_25 = e2)
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (995,804) yields a new equation:
% 110.11/59.06 | (515) e4 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (515) can reduce 267 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Applying alpha-rule on (1320) yields:
% 110.11/59.06 | (969) all_0_15_15 = e1
% 110.11/59.06 | (1322) all_0_33_33 = e4
% 110.11/59.06 | (458) ~ (all_0_18_18 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Equations (969) can reduce 344 to:
% 110.11/59.06 | (5989) ~ (all_0_17_17 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 5989 yields:
% 110.11/59.06 | (817) ~ (all_0_17_17 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Equations (969) can reduce 42 to:
% 110.11/59.06 | (5275) ~ (all_0_25_25 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 5275 yields:
% 110.11/59.06 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Equations (969) can reduce 3 to:
% 110.11/59.06 | (17107) ~ (all_0_30_30 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 17107 yields:
% 110.11/59.06 | (417) ~ (all_0_30_30 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Equations (969) can reduce 39 to:
% 110.11/59.06 | (3855) ~ (all_0_35_35 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 3855 yields:
% 110.11/59.06 | (1138) ~ (all_0_35_35 = e1)
% 110.11/59.06 |
% 110.11/59.06 | Equations (1322) can reduce 150 to:
% 110.11/59.06 | (507) ~ (all_0_30_30 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Equations (1322) can reduce 105 to:
% 110.11/59.06 | (604) ~ (all_0_32_32 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Equations (1322) can reduce 155 to:
% 110.11/59.06 | (2566) ~ (all_0_34_34 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 2566 yields:
% 110.11/59.06 | (2554) ~ (all_0_34_34 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Equations (1322) can reduce 199 to:
% 110.11/59.06 | (1834) ~ (all_0_38_38 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 1834 yields:
% 110.11/59.06 | (1835) ~ (all_0_38_38 = e4)
% 110.11/59.06 |
% 110.11/59.06 | Equations (1322) can reduce 436 to:
% 110.11/59.06 | (56) ~ (e4 = e1)
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (250), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1151) all_0_19_19 = e4
% 110.11/59.06 |
% 110.11/59.06 | Equations (1151) can reduce 460 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (460) ~ (all_0_19_19 = e4)
% 110.11/59.06 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (123), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (736) all_0_15_15 = e0
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (736,969) yields a new equation:
% 110.11/59.06 | (531) e1 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (531) can reduce 40 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (739) ~ (all_0_15_15 = e0)
% 110.11/59.06 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (969) can reduce 739 to:
% 110.11/59.06 | (40) ~ (e1 = e0)
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (249), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (980) all_0_17_17 = e1
% 110.11/59.06 |
% 110.11/59.06 | Equations (980) can reduce 817 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (817) ~ (all_0_17_17 = e1)
% 110.11/59.06 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (128), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (724) all_0_35_35 = e4
% 110.11/59.06 |
% 110.11/59.06 | Equations (724) can reduce 509 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (509) ~ (all_0_35_35 = e4)
% 110.11/59.06 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (43), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1495) all_0_25_25 = e1
% 110.11/59.06 |
% 110.11/59.06 | Equations (1495) can reduce 1519 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (1519) ~ (all_0_25_25 = e1)
% 110.11/59.06 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (727), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (728) all_0_35_35 = e3
% 110.11/59.06 |
% 110.11/59.06 | Equations (728) can reduce 585 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (585) ~ (all_0_35_35 = e3)
% 110.11/59.06 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (731), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (732) all_0_35_35 = e2
% 110.11/59.06 |
% 110.11/59.06 | Equations (732) can reduce 509 to:
% 110.11/59.06 | (482) ~ (e4 = e2)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 482 yields:
% 110.11/59.06 | (21) ~ (e4 = e2)
% 110.11/59.06 |
% 110.11/59.06 | Equations (732) can reduce 1138 to:
% 110.11/59.06 | (310) ~ (e2 = e1)
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (304), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (646) all_0_30_30 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (646) can reduce 507 to:
% 110.11/59.06 | (543) ~ (e4 = e0)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 543 yields:
% 110.11/59.06 | (267) ~ (e4 = e0)
% 110.11/59.06 |
% 110.11/59.06 | Equations (646) can reduce 417 to:
% 110.11/59.06 | (498) ~ (e1 = e0)
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 498 yields:
% 110.11/59.06 | (40) ~ (e1 = e0)
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (4556), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (4559) all_0_26_26 = e1
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (471,4559) yields a new equation:
% 110.11/59.06 | (620) e2 = e1
% 110.11/59.06 |
% 110.11/59.06 | Simplifying 620 yields:
% 110.11/59.06 | (621) e2 = e1
% 110.11/59.06 |
% 110.11/59.06 | Equations (621) can reduce 310 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (416) ~ (all_0_26_26 = e1)
% 110.11/59.06 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (4563), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (816) all_0_27_27 = e1
% 110.11/59.06 |
% 110.11/59.06 | Combining equations (995,816) yields a new equation:
% 110.11/59.06 | (531) e1 = e0
% 110.11/59.06 |
% 110.11/59.06 | Equations (531) can reduce 40 to:
% 110.11/59.06 | (400) $false
% 110.11/59.06 |
% 110.11/59.06 |-The branch is then unsatisfiable
% 110.11/59.06 |-Branch two:
% 110.11/59.06 | (857) ~ (all_0_27_27 = e1)
% 110.11/59.06 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.11/59.06 |
% 110.11/59.06 +-Applying beta-rule and splitting (4568), into two cases.
% 110.11/59.06 |-Branch one:
% 110.11/59.06 | (1122) all_0_28_28 = e1
% 110.11/59.06 |
% 110.11/59.07 | Equations (1122) can reduce 434 to:
% 110.11/59.07 | (400) $false
% 110.11/59.07 |
% 110.11/59.07 |-The branch is then unsatisfiable
% 110.11/59.07 |-Branch two:
% 110.11/59.07 | (434) ~ (all_0_28_28 = e1)
% 110.11/59.07 | (4599) all_0_29_29 = e1
% 110.11/59.07 |
% 110.18/59.07 | Equations (4599) can reduce 3115 to:
% 110.18/59.07 | (824) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 824 yields:
% 110.18/59.07 | (298) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Equations (4599) can reduce 479 to:
% 110.18/59.07 | (766) ~ (e2 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 766 yields:
% 110.18/59.07 | (310) ~ (e2 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Equations (4599) can reduce 493 to:
% 110.18/59.07 | (40) ~ (e1 = e0)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (51), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (793) all_0_17_17 = e4
% 110.18/59.07 |
% 110.18/59.07 | Equations (793) can reduce 456 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (456) ~ (all_0_17_17 = e4)
% 110.18/59.07 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (796), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (797) all_0_22_22 = e4
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (442,797) yields a new equation:
% 110.18/59.07 | (798) e4 = e2
% 110.18/59.07 |
% 110.18/59.07 | Equations (798) can reduce 21 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (800) ~ (all_0_22_22 = e4)
% 110.18/59.07 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (801), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (804) all_0_27_27 = e4
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (995,804) yields a new equation:
% 110.18/59.07 | (515) e4 = e0
% 110.18/59.07 |
% 110.18/59.07 | Equations (515) can reduce 267 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (785) ~ (all_0_27_27 = e4)
% 110.18/59.07 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (841), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (609) all_0_32_32 = e4
% 110.18/59.07 |
% 110.18/59.07 | Equations (609) can reduce 604 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (604) ~ (all_0_32_32 = e4)
% 110.18/59.07 | (847) all_0_37_37 = e4
% 110.18/59.07 |
% 110.18/59.07 | Equations (847) can reduce 211 to:
% 110.18/59.07 | (604) ~ (all_0_32_32 = e4)
% 110.18/59.07 |
% 110.18/59.07 | Equations (847) can reduce 1127 to:
% 110.18/59.07 | (255) ~ (e4 = e3)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (273), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (660) ~ (all_0_27_27 = e0)
% 110.18/59.07 |
% 110.18/59.07 | Equations (995) can reduce 660 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (995) all_0_27_27 = e0
% 110.18/59.07 | (8388) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (236), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (609) all_0_32_32 = e4
% 110.18/59.07 |
% 110.18/59.07 | Equations (609) can reduce 604 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (604) ~ (all_0_32_32 = e4)
% 110.18/59.07 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (240), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (575) all_0_30_30 = e3
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (646,575) yields a new equation:
% 110.18/59.07 | (648) e3 = e0
% 110.18/59.07 |
% 110.18/59.07 | Equations (648) can reduce 80 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (1800) ~ (all_0_30_30 = e3)
% 110.18/59.07 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (148), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (761) all_0_35_35 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (761,732) yields a new equation:
% 110.18/59.07 | (621) e2 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (621) can reduce 310 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (1138) ~ (all_0_35_35 = e1)
% 110.18/59.07 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (732) can reduce 1138 to:
% 110.18/59.07 | (310) ~ (e2 = e1)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (232), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (1297) all_0_15_15 = e3
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (1297,969) yields a new equation:
% 110.18/59.07 | (1113) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 1113 yields:
% 110.18/59.07 | (928) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (928) can reduce 298 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (572) ~ (all_0_15_15 = e3)
% 110.18/59.07 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (969) can reduce 572 to:
% 110.18/59.07 | (824) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 824 yields:
% 110.18/59.07 | (298) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (1085), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (1094) all_0_22_22 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (442,1094) yields a new equation:
% 110.18/59.07 | (620) e2 = e1
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 620 yields:
% 110.18/59.07 | (621) e2 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (621) can reduce 310 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (1098) ~ (all_0_22_22 = e1)
% 110.18/59.07 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (1099), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (816) all_0_27_27 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (995,816) yields a new equation:
% 110.18/59.07 | (531) e1 = e0
% 110.18/59.07 |
% 110.18/59.07 | Equations (531) can reduce 40 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (857) ~ (all_0_27_27 = e1)
% 110.18/59.07 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (995) can reduce 857 to:
% 110.18/59.07 | (498) ~ (e1 = e0)
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 498 yields:
% 110.18/59.07 | (40) ~ (e1 = e0)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (6679), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (6724) all_0_31_31 = e3
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (414,6724) yields a new equation:
% 110.18/59.07 | (928) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (928) can reduce 298 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (6728) ~ (all_0_31_31 = e3)
% 110.18/59.07 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (612), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (629) all_0_32_32 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (629) can reduce 419 to:
% 110.18/59.07 | (298) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (198), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (1297) all_0_15_15 = e3
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (1297,969) yields a new equation:
% 110.18/59.07 | (1113) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 1113 yields:
% 110.18/59.07 | (928) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (928) can reduce 298 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (572) ~ (all_0_15_15 = e3)
% 110.18/59.07 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (969) can reduce 572 to:
% 110.18/59.07 | (824) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 824 yields:
% 110.18/59.07 | (298) ~ (e3 = e1)
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (4931), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (4950) all_0_36_36 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (4950,534) yields a new equation:
% 110.18/59.07 | (530) e1 = e0
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 530 yields:
% 110.18/59.07 | (531) e1 = e0
% 110.18/59.07 |
% 110.18/59.07 | Equations (531) can reduce 40 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (423) ~ (all_0_36_36 = e1)
% 110.18/59.07 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (4955), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (1112) all_0_37_37 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (847,1112) yields a new equation:
% 110.18/59.07 | (975) e4 = e1
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 975 yields:
% 110.18/59.07 | (838) e4 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (838) can reduce 56 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (763) ~ (all_0_37_37 = e1)
% 110.18/59.07 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (5023), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (3222) all_0_38_38 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (3222) can reduce 438 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (438) ~ (all_0_38_38 = e1)
% 110.18/59.07 | (1252) all_0_39_39 = e1
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (1252,701) yields a new equation:
% 110.18/59.07 | (928) e3 = e1
% 110.18/59.07 |
% 110.18/59.07 | Equations (928) can reduce 298 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (579) ~ (all_0_32_32 = e3)
% 110.18/59.07 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (6729), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (629) all_0_32_32 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (629) can reduce 579 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (579) ~ (all_0_32_32 = e3)
% 110.18/59.07 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 110.18/59.07 |
% 110.18/59.07 +-Applying beta-rule and splitting (9423), into two cases.
% 110.18/59.07 |-Branch one:
% 110.18/59.07 | (1360) all_0_33_33 = e3
% 110.18/59.07 |
% 110.18/59.07 | Combining equations (1322,1360) yields a new equation:
% 110.18/59.07 | (596) e4 = e3
% 110.18/59.07 |
% 110.18/59.07 | Simplifying 596 yields:
% 110.18/59.07 | (597) e4 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (597) can reduce 255 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.07 |-Branch two:
% 110.18/59.07 | (574) ~ (all_0_33_33 = e3)
% 110.18/59.07 | (2571) all_0_34_34 = e3
% 110.18/59.07 |
% 110.18/59.07 | Equations (2571) can reduce 583 to:
% 110.18/59.07 | (400) $false
% 110.18/59.07 |
% 110.18/59.07 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (650) ~ (all_0_30_30 = e0)
% 110.18/59.08 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4556), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (4559) all_0_26_26 = e1
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (471,4559) yields a new equation:
% 110.18/59.08 | (620) e2 = e1
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 620 yields:
% 110.18/59.08 | (621) e2 = e1
% 110.18/59.08 |
% 110.18/59.08 | Equations (621) can reduce 310 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (416) ~ (all_0_26_26 = e1)
% 110.18/59.08 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4563), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (816) all_0_27_27 = e1
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (816,995) yields a new equation:
% 110.18/59.08 | (530) e1 = e0
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 530 yields:
% 110.18/59.08 | (531) e1 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (531) can reduce 40 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (857) ~ (all_0_27_27 = e1)
% 110.18/59.08 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4568), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (1122) all_0_28_28 = e1
% 110.18/59.08 |
% 110.18/59.08 | Equations (1122) can reduce 434 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (434) ~ (all_0_28_28 = e1)
% 110.18/59.08 | (4599) all_0_29_29 = e1
% 110.18/59.08 |
% 110.18/59.08 | Equations (4599) can reduce 493 to:
% 110.18/59.08 | (40) ~ (e1 = e0)
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (651), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (529) all_0_31_31 = e0
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (414,529) yields a new equation:
% 110.18/59.08 | (530) e1 = e0
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 530 yields:
% 110.18/59.08 | (531) e1 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (531) can reduce 40 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (533) ~ (all_0_31_31 = e0)
% 110.18/59.08 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (657), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (658) all_0_32_32 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (658) can reduce 889 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (889) ~ (all_0_32_32 = e0)
% 110.18/59.08 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (2544), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (1463) all_0_33_33 = e0
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (1322,1463) yields a new equation:
% 110.18/59.08 | (743) e4 = e0
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 743 yields:
% 110.18/59.08 | (515) e4 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (515) can reduce 267 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (2612) ~ (all_0_33_33 = e0)
% 110.18/59.08 | (4345) all_0_34_34 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (4345) can reduce 495 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (719) ~ (all_0_35_35 = e2)
% 110.18/59.08 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (121), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (732) all_0_35_35 = e2
% 110.18/59.08 |
% 110.18/59.08 | Equations (732) can reduce 719 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (719) ~ (all_0_35_35 = e2)
% 110.18/59.08 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (1477), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (1478) all_0_36_36 = e2
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (534,1478) yields a new equation:
% 110.18/59.08 | (525) e2 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (525) can reduce 336 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (481) ~ (all_0_36_36 = e2)
% 110.18/59.08 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (1482), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (1129) all_0_37_37 = e2
% 110.18/59.08 |
% 110.18/59.08 | Equations (1129) can reduce 450 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (450) ~ (all_0_37_37 = e2)
% 110.18/59.08 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4528), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (3218) all_0_38_38 = e2
% 110.18/59.08 |
% 110.18/59.08 | Equations (3218) can reduce 1835 to:
% 110.18/59.08 | (482) ~ (e4 = e2)
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 482 yields:
% 110.18/59.08 | (21) ~ (e4 = e2)
% 110.18/59.08 |
% 110.18/59.08 | Equations (3218) can reduce 438 to:
% 110.18/59.08 | (310) ~ (e2 = e1)
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (304), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (646) all_0_30_30 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (646) can reduce 301 to:
% 110.18/59.08 | (11228) ~ (all_0_32_32 = e0)
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 11228 yields:
% 110.18/59.08 | (889) ~ (all_0_32_32 = e0)
% 110.18/59.08 |
% 110.18/59.08 | Equations (646) can reduce 507 to:
% 110.18/59.08 | (543) ~ (e4 = e0)
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 543 yields:
% 110.18/59.08 | (267) ~ (e4 = e0)
% 110.18/59.08 |
% 110.18/59.08 | Equations (646) can reduce 417 to:
% 110.18/59.08 | (498) ~ (e1 = e0)
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 498 yields:
% 110.18/59.08 | (40) ~ (e1 = e0)
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4556), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (4559) all_0_26_26 = e1
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (471,4559) yields a new equation:
% 110.18/59.08 | (620) e2 = e1
% 110.18/59.08 |
% 110.18/59.08 | Simplifying 620 yields:
% 110.18/59.08 | (621) e2 = e1
% 110.18/59.08 |
% 110.18/59.08 | Equations (621) can reduce 310 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (416) ~ (all_0_26_26 = e1)
% 110.18/59.08 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.18/59.08 |
% 110.18/59.08 +-Applying beta-rule and splitting (4563), into two cases.
% 110.18/59.08 |-Branch one:
% 110.18/59.08 | (816) all_0_27_27 = e1
% 110.18/59.08 |
% 110.18/59.08 | Combining equations (995,816) yields a new equation:
% 110.18/59.08 | (531) e1 = e0
% 110.18/59.08 |
% 110.18/59.08 | Equations (531) can reduce 40 to:
% 110.18/59.08 | (400) $false
% 110.18/59.08 |
% 110.18/59.08 |-The branch is then unsatisfiable
% 110.18/59.08 |-Branch two:
% 110.18/59.08 | (857) ~ (all_0_27_27 = e1)
% 110.20/59.08 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (4568), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (1122) all_0_28_28 = e1
% 110.20/59.08 |
% 110.20/59.08 | Equations (1122) can reduce 434 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (434) ~ (all_0_28_28 = e1)
% 110.20/59.08 | (4599) all_0_29_29 = e1
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (51), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (793) all_0_17_17 = e4
% 110.20/59.08 |
% 110.20/59.08 | Equations (793) can reduce 456 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (456) ~ (all_0_17_17 = e4)
% 110.20/59.08 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (796), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (797) all_0_22_22 = e4
% 110.20/59.08 |
% 110.20/59.08 | Combining equations (442,797) yields a new equation:
% 110.20/59.08 | (798) e4 = e2
% 110.20/59.08 |
% 110.20/59.08 | Equations (798) can reduce 21 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (800) ~ (all_0_22_22 = e4)
% 110.20/59.08 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (801), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (804) all_0_27_27 = e4
% 110.20/59.08 |
% 110.20/59.08 | Combining equations (995,804) yields a new equation:
% 110.20/59.08 | (515) e4 = e0
% 110.20/59.08 |
% 110.20/59.08 | Equations (515) can reduce 267 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (785) ~ (all_0_27_27 = e4)
% 110.20/59.08 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (841), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (609) all_0_32_32 = e4
% 110.20/59.08 |
% 110.20/59.08 | Equations (609) can reduce 604 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.08 | (847) all_0_37_37 = e4
% 110.20/59.08 |
% 110.20/59.08 | Equations (847) can reduce 211 to:
% 110.20/59.08 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.08 |
% 110.20/59.08 | Equations (847) can reduce 538 to:
% 110.20/59.08 | (267) ~ (e4 = e0)
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (236), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (609) all_0_32_32 = e4
% 110.20/59.08 |
% 110.20/59.08 | Equations (609) can reduce 604 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.08 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (612), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (629) all_0_32_32 = e3
% 110.20/59.08 |
% 110.20/59.08 | Equations (629) can reduce 604 to:
% 110.20/59.08 | (558) ~ (e4 = e3)
% 110.20/59.08 |
% 110.20/59.08 | Simplifying 558 yields:
% 110.20/59.08 | (255) ~ (e4 = e3)
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (2780), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (2956) all_0_24_24 = e4
% 110.20/59.08 |
% 110.20/59.08 | Combining equations (2956,488) yields a new equation:
% 110.20/59.08 | (743) e4 = e0
% 110.20/59.08 |
% 110.20/59.08 | Simplifying 743 yields:
% 110.20/59.08 | (515) e4 = e0
% 110.20/59.08 |
% 110.20/59.08 | Equations (515) can reduce 267 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (2960) ~ (all_0_24_24 = e4)
% 110.20/59.08 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 110.20/59.08 |
% 110.20/59.08 +-Applying beta-rule and splitting (2961), into two cases.
% 110.20/59.08 |-Branch one:
% 110.20/59.08 | (941) all_0_29_29 = e4
% 110.20/59.08 |
% 110.20/59.08 | Combining equations (4599,941) yields a new equation:
% 110.20/59.08 | (838) e4 = e1
% 110.20/59.08 |
% 110.20/59.08 | Equations (838) can reduce 56 to:
% 110.20/59.08 | (400) $false
% 110.20/59.08 |
% 110.20/59.08 |-The branch is then unsatisfiable
% 110.20/59.08 |-Branch two:
% 110.20/59.08 | (603) ~ (all_0_29_29 = e4)
% 110.20/59.08 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 110.20/59.08 |
% 110.20/59.09 +-Applying beta-rule and splitting (3061), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (601) all_0_34_34 = e4
% 110.20/59.09 |
% 110.20/59.09 | Equations (601) can reduce 2554 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (2554) ~ (all_0_34_34 = e4)
% 110.20/59.09 | (697) all_0_39_39 = e4
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (697,701) yields a new equation:
% 110.20/59.09 | (596) e4 = e3
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 596 yields:
% 110.20/59.09 | (597) e4 = e3
% 110.20/59.09 |
% 110.20/59.09 | Equations (597) can reduce 255 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (579) ~ (all_0_32_32 = e3)
% 110.20/59.09 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (632), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (625) all_0_32_32 = e2
% 110.20/59.09 |
% 110.20/59.09 | Equations (625) can reduce 448 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (448) ~ (all_0_32_32 = e2)
% 110.20/59.09 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (636), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (1108) all_0_32_32 = e1
% 110.20/59.09 |
% 110.20/59.09 | Equations (1108) can reduce 419 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (419) ~ (all_0_32_32 = e1)
% 110.20/59.09 | (658) all_0_32_32 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (658) can reduce 889 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (650) ~ (all_0_30_30 = e0)
% 110.20/59.09 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (4556), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (4559) all_0_26_26 = e1
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (471,4559) yields a new equation:
% 110.20/59.09 | (620) e2 = e1
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 620 yields:
% 110.20/59.09 | (621) e2 = e1
% 110.20/59.09 |
% 110.20/59.09 | Equations (621) can reduce 310 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (416) ~ (all_0_26_26 = e1)
% 110.20/59.09 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (4563), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (816) all_0_27_27 = e1
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (816,995) yields a new equation:
% 110.20/59.09 | (530) e1 = e0
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 530 yields:
% 110.20/59.09 | (531) e1 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (531) can reduce 40 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (857) ~ (all_0_27_27 = e1)
% 110.20/59.09 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (4568), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (1122) all_0_28_28 = e1
% 110.20/59.09 |
% 110.20/59.09 | Equations (1122) can reduce 434 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (434) ~ (all_0_28_28 = e1)
% 110.20/59.09 | (4599) all_0_29_29 = e1
% 110.20/59.09 |
% 110.20/59.09 | Equations (4599) can reduce 493 to:
% 110.20/59.09 | (40) ~ (e1 = e0)
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (651), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (529) all_0_31_31 = e0
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (414,529) yields a new equation:
% 110.20/59.09 | (530) e1 = e0
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 530 yields:
% 110.20/59.09 | (531) e1 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (531) can reduce 40 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (533) ~ (all_0_31_31 = e0)
% 110.20/59.09 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (657), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (658) all_0_32_32 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (658) can reduce 889 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (889) ~ (all_0_32_32 = e0)
% 110.20/59.09 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (2544), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (1463) all_0_33_33 = e0
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (1322,1463) yields a new equation:
% 110.20/59.09 | (743) e4 = e0
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 743 yields:
% 110.20/59.09 | (515) e4 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (515) can reduce 267 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (2612) ~ (all_0_33_33 = e0)
% 110.20/59.09 | (4345) all_0_34_34 = e0
% 110.20/59.09 |
% 110.20/59.09 | Equations (4345) can reduce 495 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (2728) ~ (all_0_38_38 = e2)
% 110.20/59.09 | (705) all_0_39_39 = e2
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (705,701) yields a new equation:
% 110.20/59.09 | (615) e3 = e2
% 110.20/59.09 |
% 110.20/59.09 | Equations (615) can reduce 52 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Applying alpha-rule on (1326) yields:
% 110.20/59.09 | (969) all_0_15_15 = e1
% 110.20/59.09 | (1322) all_0_33_33 = e4
% 110.20/59.09 | (417) ~ (all_0_30_30 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Equations (969) can reduce 344 to:
% 110.20/59.09 | (5989) ~ (all_0_17_17 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 5989 yields:
% 110.20/59.09 | (817) ~ (all_0_17_17 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Equations (969) can reduce 42 to:
% 110.20/59.09 | (5275) ~ (all_0_25_25 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 5275 yields:
% 110.20/59.09 | (1519) ~ (all_0_25_25 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Equations (969) can reduce 3 to:
% 110.20/59.09 | (17107) ~ (all_0_30_30 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 17107 yields:
% 110.20/59.09 | (417) ~ (all_0_30_30 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Equations (969) can reduce 39 to:
% 110.20/59.09 | (3855) ~ (all_0_35_35 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 3855 yields:
% 110.20/59.09 | (1138) ~ (all_0_35_35 = e1)
% 110.20/59.09 |
% 110.20/59.09 | Equations (1322) can reduce 150 to:
% 110.20/59.09 | (507) ~ (all_0_30_30 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Equations (1322) can reduce 105 to:
% 110.20/59.09 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Equations (1322) can reduce 155 to:
% 110.20/59.09 | (2566) ~ (all_0_34_34 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 2566 yields:
% 110.20/59.09 | (2554) ~ (all_0_34_34 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Equations (1322) can reduce 199 to:
% 110.20/59.09 | (1834) ~ (all_0_38_38 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Simplifying 1834 yields:
% 110.20/59.09 | (1835) ~ (all_0_38_38 = e4)
% 110.20/59.09 |
% 110.20/59.09 | Equations (1322) can reduce 436 to:
% 110.20/59.09 | (56) ~ (e4 = e1)
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (250), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (1151) all_0_19_19 = e4
% 110.20/59.09 |
% 110.20/59.09 | Equations (1151) can reduce 460 to:
% 110.20/59.09 | (400) $false
% 110.20/59.09 |
% 110.20/59.09 |-The branch is then unsatisfiable
% 110.20/59.09 |-Branch two:
% 110.20/59.09 | (460) ~ (all_0_19_19 = e4)
% 110.20/59.09 | (2780) all_0_24_24 = e4 | all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 110.20/59.09 |
% 110.20/59.09 +-Applying beta-rule and splitting (123), into two cases.
% 110.20/59.09 |-Branch one:
% 110.20/59.09 | (736) all_0_15_15 = e0
% 110.20/59.09 |
% 110.20/59.09 | Combining equations (736,969) yields a new equation:
% 110.20/59.09 | (531) e1 = e0
% 110.20/59.09 |
% 110.20/59.10 | Equations (531) can reduce 40 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (739) ~ (all_0_15_15 = e0)
% 110.20/59.10 | (740) all_0_20_20 = e0 | all_0_25_25 = e0 | all_0_30_30 = e0 | all_0_35_35 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (969) can reduce 739 to:
% 110.20/59.10 | (40) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (249), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (980) all_0_17_17 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (980) can reduce 817 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (817) ~ (all_0_17_17 = e1)
% 110.20/59.10 | (1085) all_0_22_22 = e1 | all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (128), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (724) all_0_35_35 = e4
% 110.20/59.10 |
% 110.20/59.10 | Equations (724) can reduce 509 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (509) ~ (all_0_35_35 = e4)
% 110.20/59.10 | (727) all_0_35_35 = e3 | all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (43), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1495) all_0_25_25 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (1495) can reduce 1519 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (1519) ~ (all_0_25_25 = e1)
% 110.20/59.10 | (4556) all_0_26_26 = e1 | all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (727), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (728) all_0_35_35 = e3
% 110.20/59.10 |
% 110.20/59.10 | Equations (728) can reduce 585 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (585) ~ (all_0_35_35 = e3)
% 110.20/59.10 | (731) all_0_35_35 = e2 | all_0_35_35 = e1 | all_0_35_35 = e0
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (731), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (732) all_0_35_35 = e2
% 110.20/59.10 |
% 110.20/59.10 | Equations (732) can reduce 509 to:
% 110.20/59.10 | (482) ~ (e4 = e2)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 482 yields:
% 110.20/59.10 | (21) ~ (e4 = e2)
% 110.20/59.10 |
% 110.20/59.10 | Equations (732) can reduce 1138 to:
% 110.20/59.10 | (310) ~ (e2 = e1)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (304), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (646) all_0_30_30 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (646) can reduce 507 to:
% 110.20/59.10 | (543) ~ (e4 = e0)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 543 yields:
% 110.20/59.10 | (267) ~ (e4 = e0)
% 110.20/59.10 |
% 110.20/59.10 | Equations (646) can reduce 417 to:
% 110.20/59.10 | (498) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 498 yields:
% 110.20/59.10 | (40) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (4556), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (4559) all_0_26_26 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (471,4559) yields a new equation:
% 110.20/59.10 | (620) e2 = e1
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 620 yields:
% 110.20/59.10 | (621) e2 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (621) can reduce 310 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (416) ~ (all_0_26_26 = e1)
% 110.20/59.10 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (4563), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (816) all_0_27_27 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (995,816) yields a new equation:
% 110.20/59.10 | (531) e1 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (531) can reduce 40 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (857) ~ (all_0_27_27 = e1)
% 110.20/59.10 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (4568), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1122) all_0_28_28 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (1122) can reduce 434 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (434) ~ (all_0_28_28 = e1)
% 110.20/59.10 | (4599) all_0_29_29 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (4599) can reduce 3115 to:
% 110.20/59.10 | (824) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 824 yields:
% 110.20/59.10 | (298) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Equations (4599) can reduce 479 to:
% 110.20/59.10 | (766) ~ (e2 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 766 yields:
% 110.20/59.10 | (310) ~ (e2 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Equations (4599) can reduce 493 to:
% 110.20/59.10 | (40) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (51), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (793) all_0_17_17 = e4
% 110.20/59.10 |
% 110.20/59.10 | Equations (793) can reduce 456 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (456) ~ (all_0_17_17 = e4)
% 110.20/59.10 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (796), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (797) all_0_22_22 = e4
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (442,797) yields a new equation:
% 110.20/59.10 | (798) e4 = e2
% 110.20/59.10 |
% 110.20/59.10 | Equations (798) can reduce 21 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (800) ~ (all_0_22_22 = e4)
% 110.20/59.10 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (801), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (804) all_0_27_27 = e4
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (995,804) yields a new equation:
% 110.20/59.10 | (515) e4 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (515) can reduce 267 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (785) ~ (all_0_27_27 = e4)
% 110.20/59.10 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (841), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (609) all_0_32_32 = e4
% 110.20/59.10 |
% 110.20/59.10 | Equations (609) can reduce 604 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.10 | (847) all_0_37_37 = e4
% 110.20/59.10 |
% 110.20/59.10 | Equations (847) can reduce 211 to:
% 110.20/59.10 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.10 |
% 110.20/59.10 | Equations (847) can reduce 1127 to:
% 110.20/59.10 | (255) ~ (e4 = e3)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (273), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (660) ~ (all_0_27_27 = e0)
% 110.20/59.10 |
% 110.20/59.10 | Equations (995) can reduce 660 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (995) all_0_27_27 = e0
% 110.20/59.10 | (8388) (all_0_7_7 = all_0_29_29 & ~ (all_0_6_6 = e1) & op(all_0_29_29, e2) = all_0_6_6) | (all_0_7_7 = all_0_29_29 & ~ (all_0_29_29 = e3)) | (all_0_8_8 = all_0_37_37 & ~ (all_0_37_37 = e4))
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (236), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (609) all_0_32_32 = e4
% 110.20/59.10 |
% 110.20/59.10 | Equations (609) can reduce 604 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (604) ~ (all_0_32_32 = e4)
% 110.20/59.10 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (240), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (575) all_0_30_30 = e3
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (646,575) yields a new equation:
% 110.20/59.10 | (648) e3 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (648) can reduce 80 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (1800) ~ (all_0_30_30 = e3)
% 110.20/59.10 | (6679) all_0_31_31 = e3 | all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (148), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (761) all_0_35_35 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (761,732) yields a new equation:
% 110.20/59.10 | (621) e2 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (621) can reduce 310 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (1138) ~ (all_0_35_35 = e1)
% 110.20/59.10 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (732) can reduce 1138 to:
% 110.20/59.10 | (310) ~ (e2 = e1)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (232), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1297) all_0_15_15 = e3
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (1297,969) yields a new equation:
% 110.20/59.10 | (1113) e3 = e1
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 1113 yields:
% 110.20/59.10 | (928) e3 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (928) can reduce 298 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (572) ~ (all_0_15_15 = e3)
% 110.20/59.10 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.20/59.10 |
% 110.20/59.10 | Equations (969) can reduce 572 to:
% 110.20/59.10 | (824) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 824 yields:
% 110.20/59.10 | (298) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (1085), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1094) all_0_22_22 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (442,1094) yields a new equation:
% 110.20/59.10 | (620) e2 = e1
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 620 yields:
% 110.20/59.10 | (621) e2 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (621) can reduce 310 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (1098) ~ (all_0_22_22 = e1)
% 110.20/59.10 | (1099) all_0_27_27 = e1 | all_0_32_32 = e1 | all_0_37_37 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (1099), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (816) all_0_27_27 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (995,816) yields a new equation:
% 110.20/59.10 | (531) e1 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (531) can reduce 40 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (857) ~ (all_0_27_27 = e1)
% 110.20/59.10 | (1105) all_0_32_32 = e1 | all_0_37_37 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (995) can reduce 857 to:
% 110.20/59.10 | (498) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 498 yields:
% 110.20/59.10 | (40) ~ (e1 = e0)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (6679), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (6724) all_0_31_31 = e3
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (414,6724) yields a new equation:
% 110.20/59.10 | (928) e3 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (928) can reduce 298 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (6728) ~ (all_0_31_31 = e3)
% 110.20/59.10 | (6729) all_0_32_32 = e3 | all_0_33_33 = e3 | all_0_34_34 = e3
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (612), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (629) all_0_32_32 = e3
% 110.20/59.10 |
% 110.20/59.10 | Equations (629) can reduce 419 to:
% 110.20/59.10 | (298) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (198), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1297) all_0_15_15 = e3
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (1297,969) yields a new equation:
% 110.20/59.10 | (1113) e3 = e1
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 1113 yields:
% 110.20/59.10 | (928) e3 = e1
% 110.20/59.10 |
% 110.20/59.10 | Equations (928) can reduce 298 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (572) ~ (all_0_15_15 = e3)
% 110.20/59.10 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 110.20/59.10 |
% 110.20/59.10 | Equations (969) can reduce 572 to:
% 110.20/59.10 | (824) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 824 yields:
% 110.20/59.10 | (298) ~ (e3 = e1)
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (4931), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (4950) all_0_36_36 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (4950,534) yields a new equation:
% 110.20/59.10 | (530) e1 = e0
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 530 yields:
% 110.20/59.10 | (531) e1 = e0
% 110.20/59.10 |
% 110.20/59.10 | Equations (531) can reduce 40 to:
% 110.20/59.10 | (400) $false
% 110.20/59.10 |
% 110.20/59.10 |-The branch is then unsatisfiable
% 110.20/59.10 |-Branch two:
% 110.20/59.10 | (423) ~ (all_0_36_36 = e1)
% 110.20/59.10 | (4955) all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.20/59.10 |
% 110.20/59.10 +-Applying beta-rule and splitting (4955), into two cases.
% 110.20/59.10 |-Branch one:
% 110.20/59.10 | (1112) all_0_37_37 = e1
% 110.20/59.10 |
% 110.20/59.10 | Combining equations (847,1112) yields a new equation:
% 110.20/59.10 | (975) e4 = e1
% 110.20/59.10 |
% 110.20/59.10 | Simplifying 975 yields:
% 110.20/59.11 | (838) e4 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (838) can reduce 56 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (763) ~ (all_0_37_37 = e1)
% 110.20/59.11 | (5023) all_0_38_38 = e1 | all_0_39_39 = e1
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (5023), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (3222) all_0_38_38 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (3222) can reduce 438 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (438) ~ (all_0_38_38 = e1)
% 110.20/59.11 | (1252) all_0_39_39 = e1
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (1252,701) yields a new equation:
% 110.20/59.11 | (928) e3 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (928) can reduce 298 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (579) ~ (all_0_32_32 = e3)
% 110.20/59.11 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (6729), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (629) all_0_32_32 = e3
% 110.20/59.11 |
% 110.20/59.11 | Equations (629) can reduce 579 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (579) ~ (all_0_32_32 = e3)
% 110.20/59.11 | (9423) all_0_33_33 = e3 | all_0_34_34 = e3
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (9423), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (1360) all_0_33_33 = e3
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (1322,1360) yields a new equation:
% 110.20/59.11 | (596) e4 = e3
% 110.20/59.11 |
% 110.20/59.11 | Simplifying 596 yields:
% 110.20/59.11 | (597) e4 = e3
% 110.20/59.11 |
% 110.20/59.11 | Equations (597) can reduce 255 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (574) ~ (all_0_33_33 = e3)
% 110.20/59.11 | (2571) all_0_34_34 = e3
% 110.20/59.11 |
% 110.20/59.11 | Equations (2571) can reduce 583 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (650) ~ (all_0_30_30 = e0)
% 110.20/59.11 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (4556), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (4559) all_0_26_26 = e1
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (471,4559) yields a new equation:
% 110.20/59.11 | (620) e2 = e1
% 110.20/59.11 |
% 110.20/59.11 | Simplifying 620 yields:
% 110.20/59.11 | (621) e2 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (621) can reduce 310 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (416) ~ (all_0_26_26 = e1)
% 110.20/59.11 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (4563), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (816) all_0_27_27 = e1
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (816,995) yields a new equation:
% 110.20/59.11 | (530) e1 = e0
% 110.20/59.11 |
% 110.20/59.11 | Simplifying 530 yields:
% 110.20/59.11 | (531) e1 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (531) can reduce 40 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (857) ~ (all_0_27_27 = e1)
% 110.20/59.11 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (4568), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (1122) all_0_28_28 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (1122) can reduce 434 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (434) ~ (all_0_28_28 = e1)
% 110.20/59.11 | (4599) all_0_29_29 = e1
% 110.20/59.11 |
% 110.20/59.11 | Equations (4599) can reduce 493 to:
% 110.20/59.11 | (40) ~ (e1 = e0)
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (651), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (529) all_0_31_31 = e0
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (414,529) yields a new equation:
% 110.20/59.11 | (530) e1 = e0
% 110.20/59.11 |
% 110.20/59.11 | Simplifying 530 yields:
% 110.20/59.11 | (531) e1 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (531) can reduce 40 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (533) ~ (all_0_31_31 = e0)
% 110.20/59.11 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (657), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (658) all_0_32_32 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (658) can reduce 889 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (889) ~ (all_0_32_32 = e0)
% 110.20/59.11 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (2544), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (1463) all_0_33_33 = e0
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (1322,1463) yields a new equation:
% 110.20/59.11 | (743) e4 = e0
% 110.20/59.11 |
% 110.20/59.11 | Simplifying 743 yields:
% 110.20/59.11 | (515) e4 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (515) can reduce 267 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (2612) ~ (all_0_33_33 = e0)
% 110.20/59.11 | (4345) all_0_34_34 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (4345) can reduce 495 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (719) ~ (all_0_35_35 = e2)
% 110.20/59.11 | (735) all_0_35_35 = e1 | all_0_35_35 = e0
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (121), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (732) all_0_35_35 = e2
% 110.20/59.11 |
% 110.20/59.11 | Equations (732) can reduce 719 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (719) ~ (all_0_35_35 = e2)
% 110.20/59.11 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (1477), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (1478) all_0_36_36 = e2
% 110.20/59.11 |
% 110.20/59.11 | Combining equations (534,1478) yields a new equation:
% 110.20/59.11 | (525) e2 = e0
% 110.20/59.11 |
% 110.20/59.11 | Equations (525) can reduce 336 to:
% 110.20/59.11 | (400) $false
% 110.20/59.11 |
% 110.20/59.11 |-The branch is then unsatisfiable
% 110.20/59.11 |-Branch two:
% 110.20/59.11 | (481) ~ (all_0_36_36 = e2)
% 110.20/59.11 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.20/59.11 |
% 110.20/59.11 +-Applying beta-rule and splitting (1482), into two cases.
% 110.20/59.11 |-Branch one:
% 110.20/59.11 | (1129) all_0_37_37 = e2
% 110.20/59.11 |
% 110.20/59.11 | Equations (1129) can reduce 450 to:
% 110.24/59.11 | (400) $false
% 110.24/59.11 |
% 110.24/59.11 |-The branch is then unsatisfiable
% 110.24/59.11 |-Branch two:
% 110.24/59.11 | (450) ~ (all_0_37_37 = e2)
% 110.24/59.11 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 110.24/59.11 |
% 110.24/59.11 +-Applying beta-rule and splitting (4528), into two cases.
% 110.24/59.11 |-Branch one:
% 110.24/59.11 | (3218) all_0_38_38 = e2
% 110.24/59.11 |
% 110.24/59.11 | Equations (3218) can reduce 1835 to:
% 110.24/59.11 | (482) ~ (e4 = e2)
% 110.24/59.11 |
% 110.24/59.11 | Simplifying 482 yields:
% 110.24/59.11 | (21) ~ (e4 = e2)
% 110.24/59.11 |
% 110.24/59.11 | Equations (3218) can reduce 438 to:
% 110.24/59.11 | (310) ~ (e2 = e1)
% 110.24/59.11 |
% 110.24/59.11 +-Applying beta-rule and splitting (304), into two cases.
% 110.24/59.11 |-Branch one:
% 110.24/59.11 | (646) all_0_30_30 = e0
% 110.24/59.11 |
% 110.24/59.11 | Equations (646) can reduce 301 to:
% 110.24/59.11 | (11228) ~ (all_0_32_32 = e0)
% 110.24/59.11 |
% 110.24/59.12 | Simplifying 11228 yields:
% 110.24/59.12 | (889) ~ (all_0_32_32 = e0)
% 110.24/59.12 |
% 110.24/59.12 | Equations (646) can reduce 507 to:
% 110.24/59.12 | (543) ~ (e4 = e0)
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 543 yields:
% 110.24/59.12 | (267) ~ (e4 = e0)
% 110.24/59.12 |
% 110.24/59.12 | Equations (646) can reduce 417 to:
% 110.24/59.12 | (498) ~ (e1 = e0)
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 498 yields:
% 110.24/59.12 | (40) ~ (e1 = e0)
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4556), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (4559) all_0_26_26 = e1
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (471,4559) yields a new equation:
% 110.24/59.12 | (620) e2 = e1
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 620 yields:
% 110.24/59.12 | (621) e2 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (621) can reduce 310 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (416) ~ (all_0_26_26 = e1)
% 110.24/59.12 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4563), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (816) all_0_27_27 = e1
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (995,816) yields a new equation:
% 110.24/59.12 | (531) e1 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (531) can reduce 40 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (857) ~ (all_0_27_27 = e1)
% 110.24/59.12 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4568), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (1122) all_0_28_28 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (1122) can reduce 434 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (434) ~ (all_0_28_28 = e1)
% 110.24/59.12 | (4599) all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (51), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (793) all_0_17_17 = e4
% 110.24/59.12 |
% 110.24/59.12 | Equations (793) can reduce 456 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (456) ~ (all_0_17_17 = e4)
% 110.24/59.12 | (796) all_0_22_22 = e4 | all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (796), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (797) all_0_22_22 = e4
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (442,797) yields a new equation:
% 110.24/59.12 | (798) e4 = e2
% 110.24/59.12 |
% 110.24/59.12 | Equations (798) can reduce 21 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (800) ~ (all_0_22_22 = e4)
% 110.24/59.12 | (801) all_0_27_27 = e4 | all_0_32_32 = e4 | all_0_37_37 = e4
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (801), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (804) all_0_27_27 = e4
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (995,804) yields a new equation:
% 110.24/59.12 | (515) e4 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (515) can reduce 267 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (785) ~ (all_0_27_27 = e4)
% 110.24/59.12 | (841) all_0_32_32 = e4 | all_0_37_37 = e4
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (841), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (609) all_0_32_32 = e4
% 110.24/59.12 |
% 110.24/59.12 | Equations (609) can reduce 604 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (604) ~ (all_0_32_32 = e4)
% 110.24/59.12 | (847) all_0_37_37 = e4
% 110.24/59.12 |
% 110.24/59.12 | Equations (847) can reduce 211 to:
% 110.24/59.12 | (604) ~ (all_0_32_32 = e4)
% 110.24/59.12 |
% 110.24/59.12 | Equations (847) can reduce 538 to:
% 110.24/59.12 | (267) ~ (e4 = e0)
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (236), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (609) all_0_32_32 = e4
% 110.24/59.12 |
% 110.24/59.12 | Equations (609) can reduce 604 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (604) ~ (all_0_32_32 = e4)
% 110.24/59.12 | (612) all_0_32_32 = e3 | all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (612), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (629) all_0_32_32 = e3
% 110.24/59.12 |
% 110.24/59.12 | Equations (629) can reduce 604 to:
% 110.24/59.12 | (558) ~ (e4 = e3)
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 558 yields:
% 110.24/59.12 | (255) ~ (e4 = e3)
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (2780), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (2956) all_0_24_24 = e4
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (2956,488) yields a new equation:
% 110.24/59.12 | (743) e4 = e0
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 743 yields:
% 110.24/59.12 | (515) e4 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (515) can reduce 267 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (2960) ~ (all_0_24_24 = e4)
% 110.24/59.12 | (2961) all_0_29_29 = e4 | all_0_34_34 = e4 | all_0_39_39 = e4
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (2961), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (941) all_0_29_29 = e4
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (4599,941) yields a new equation:
% 110.24/59.12 | (838) e4 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (838) can reduce 56 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (603) ~ (all_0_29_29 = e4)
% 110.24/59.12 | (3061) all_0_34_34 = e4 | all_0_39_39 = e4
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (3061), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (601) all_0_34_34 = e4
% 110.24/59.12 |
% 110.24/59.12 | Equations (601) can reduce 2554 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (2554) ~ (all_0_34_34 = e4)
% 110.24/59.12 | (697) all_0_39_39 = e4
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (697,701) yields a new equation:
% 110.24/59.12 | (596) e4 = e3
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 596 yields:
% 110.24/59.12 | (597) e4 = e3
% 110.24/59.12 |
% 110.24/59.12 | Equations (597) can reduce 255 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (579) ~ (all_0_32_32 = e3)
% 110.24/59.12 | (632) all_0_32_32 = e2 | all_0_32_32 = e1 | all_0_32_32 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (632), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (625) all_0_32_32 = e2
% 110.24/59.12 |
% 110.24/59.12 | Equations (625) can reduce 448 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (448) ~ (all_0_32_32 = e2)
% 110.24/59.12 | (636) all_0_32_32 = e1 | all_0_32_32 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (636), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (1108) all_0_32_32 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (1108) can reduce 419 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (419) ~ (all_0_32_32 = e1)
% 110.24/59.12 | (658) all_0_32_32 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (658) can reduce 889 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (650) ~ (all_0_30_30 = e0)
% 110.24/59.12 | (651) all_0_31_31 = e0 | all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4556), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (4559) all_0_26_26 = e1
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (471,4559) yields a new equation:
% 110.24/59.12 | (620) e2 = e1
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 620 yields:
% 110.24/59.12 | (621) e2 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (621) can reduce 310 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (416) ~ (all_0_26_26 = e1)
% 110.24/59.12 | (4563) all_0_27_27 = e1 | all_0_28_28 = e1 | all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4563), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (816) all_0_27_27 = e1
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (816,995) yields a new equation:
% 110.24/59.12 | (530) e1 = e0
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 530 yields:
% 110.24/59.12 | (531) e1 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (531) can reduce 40 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (857) ~ (all_0_27_27 = e1)
% 110.24/59.12 | (4568) all_0_28_28 = e1 | all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (4568), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (1122) all_0_28_28 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (1122) can reduce 434 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (434) ~ (all_0_28_28 = e1)
% 110.24/59.12 | (4599) all_0_29_29 = e1
% 110.24/59.12 |
% 110.24/59.12 | Equations (4599) can reduce 493 to:
% 110.24/59.12 | (40) ~ (e1 = e0)
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (651), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (529) all_0_31_31 = e0
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (414,529) yields a new equation:
% 110.24/59.12 | (530) e1 = e0
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 530 yields:
% 110.24/59.12 | (531) e1 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (531) can reduce 40 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (533) ~ (all_0_31_31 = e0)
% 110.24/59.12 | (657) all_0_32_32 = e0 | all_0_33_33 = e0 | all_0_34_34 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (657), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (658) all_0_32_32 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (658) can reduce 889 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (889) ~ (all_0_32_32 = e0)
% 110.24/59.12 | (2544) all_0_33_33 = e0 | all_0_34_34 = e0
% 110.24/59.12 |
% 110.24/59.12 +-Applying beta-rule and splitting (2544), into two cases.
% 110.24/59.12 |-Branch one:
% 110.24/59.12 | (1463) all_0_33_33 = e0
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (1322,1463) yields a new equation:
% 110.24/59.12 | (743) e4 = e0
% 110.24/59.12 |
% 110.24/59.12 | Simplifying 743 yields:
% 110.24/59.12 | (515) e4 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (515) can reduce 267 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (2612) ~ (all_0_33_33 = e0)
% 110.24/59.12 | (4345) all_0_34_34 = e0
% 110.24/59.12 |
% 110.24/59.12 | Equations (4345) can reduce 495 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.12 |-Branch two:
% 110.24/59.12 | (2728) ~ (all_0_38_38 = e2)
% 110.24/59.12 | (705) all_0_39_39 = e2
% 110.24/59.12 |
% 110.24/59.12 | Combining equations (705,701) yields a new equation:
% 110.24/59.12 | (615) e3 = e2
% 110.24/59.12 |
% 110.24/59.12 | Equations (615) can reduce 52 to:
% 110.24/59.12 | (400) $false
% 110.24/59.12 |
% 110.24/59.12 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1332) yields:
% 110.24/59.13 | (736) all_0_15_15 = e0
% 110.24/59.13 | (697) all_0_39_39 = e4
% 110.24/59.13 | (460) ~ (all_0_19_19 = e4)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (701,697) yields a new equation:
% 110.24/59.13 | (597) e4 = e3
% 110.24/59.13 |
% 110.24/59.13 | Equations (597) can reduce 255 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1339) yields:
% 110.24/59.13 | (736) all_0_15_15 = e0
% 110.24/59.13 | (697) all_0_39_39 = e4
% 110.24/59.13 | (536) ~ (all_0_35_35 = e0)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (701,697) yields a new equation:
% 110.24/59.13 | (597) e4 = e3
% 110.24/59.13 |
% 110.24/59.13 | Equations (597) can reduce 255 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1346) yields:
% 110.24/59.13 | (1347) all_0_21_21 = e2
% 110.24/59.13 | (808) all_0_27_27 = e3
% 110.24/59.13 | (925) ~ (all_0_22_22 = e3)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (1347,557) yields a new equation:
% 110.24/59.13 | (615) e3 = e2
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (995,808) yields a new equation:
% 110.24/59.13 | (648) e3 = e0
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (648,615) yields a new equation:
% 110.24/59.13 | (525) e2 = e0
% 110.24/59.13 |
% 110.24/59.13 | Equations (525) can reduce 336 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1352) yields:
% 110.24/59.13 | (1347) all_0_21_21 = e2
% 110.24/59.13 | (808) all_0_27_27 = e3
% 110.24/59.13 | (1355) ~ (all_0_26_26 = e2)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (1347,557) yields a new equation:
% 110.24/59.13 | (615) e3 = e2
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (995,808) yields a new equation:
% 110.24/59.13 | (648) e3 = e0
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (648,615) yields a new equation:
% 110.24/59.13 | (525) e2 = e0
% 110.24/59.13 |
% 110.24/59.13 | Equations (525) can reduce 336 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1358) yields:
% 110.24/59.13 | (1359) all_0_21_21 = e1
% 110.24/59.13 | (1360) all_0_33_33 = e3
% 110.24/59.13 | (1361) ~ (all_0_23_23 = e3)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (1359,557) yields a new equation:
% 110.24/59.13 | (928) e3 = e1
% 110.24/59.13 |
% 110.24/59.13 | Equations (928) can reduce 298 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.24/59.13 |-Branch two:
% 110.24/59.13 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 110.24/59.13 |
% 110.24/59.13 | Applying alpha-rule on (1367) yields:
% 110.24/59.13 | (1359) all_0_21_21 = e1
% 110.24/59.13 | (1360) all_0_33_33 = e3
% 110.24/59.13 | (1370) ~ (all_0_31_31 = e1)
% 110.24/59.13 |
% 110.24/59.13 | Combining equations (1359,557) yields a new equation:
% 110.24/59.13 | (928) e3 = e1
% 110.24/59.13 |
% 110.24/59.13 | Equations (928) can reduce 298 to:
% 110.24/59.13 | (400) $false
% 110.24/59.13 |
% 110.24/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1376) yields:
% 110.25/59.13 | (519) all_0_21_21 = e0
% 110.25/59.13 | (701) all_0_39_39 = e3
% 110.25/59.13 | (1379) ~ (all_0_24_24 = e3)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (519,557) yields a new equation:
% 110.25/59.13 | (648) e3 = e0
% 110.25/59.13 |
% 110.25/59.13 | Equations (648) can reduce 80 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1385) yields:
% 110.25/59.13 | (519) all_0_21_21 = e0
% 110.25/59.13 | (701) all_0_39_39 = e3
% 110.25/59.13 | (1388) ~ (all_0_36_36 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (519,557) yields a new equation:
% 110.25/59.13 | (648) e3 = e0
% 110.25/59.13 |
% 110.25/59.13 | Equations (648) can reduce 80 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1394) yields:
% 110.25/59.13 | (816) all_0_27_27 = e1
% 110.25/59.13 | (637) all_0_33_33 = e2
% 110.25/59.13 | (477) ~ (all_0_28_28 = e2)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (816,995) yields a new equation:
% 110.25/59.13 | (530) e1 = e0
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 530 yields:
% 110.25/59.13 | (531) e1 = e0
% 110.25/59.13 |
% 110.25/59.13 | Equations (531) can reduce 40 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1421) yields:
% 110.25/59.13 | (816) all_0_27_27 = e1
% 110.25/59.13 | (637) all_0_33_33 = e2
% 110.25/59.13 | (419) ~ (all_0_32_32 = e1)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (816,995) yields a new equation:
% 110.25/59.13 | (530) e1 = e0
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 530 yields:
% 110.25/59.13 | (531) e1 = e0
% 110.25/59.13 |
% 110.25/59.13 | Equations (531) can reduce 40 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1448) yields:
% 110.25/59.13 | (995) all_0_27_27 = e0
% 110.25/59.13 | (705) all_0_39_39 = e2
% 110.25/59.13 | (479) ~ (all_0_29_29 = e2)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (701,705) yields a new equation:
% 110.25/59.13 | (614) e3 = e2
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 614 yields:
% 110.25/59.13 | (615) e3 = e2
% 110.25/59.13 |
% 110.25/59.13 | Equations (615) can reduce 52 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1455) yields:
% 110.25/59.13 | (995) all_0_27_27 = e0
% 110.25/59.13 | (705) all_0_39_39 = e2
% 110.25/59.13 | (538) ~ (all_0_37_37 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (701,705) yields a new equation:
% 110.25/59.13 | (614) e3 = e2
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 614 yields:
% 110.25/59.13 | (615) e3 = e2
% 110.25/59.13 |
% 110.25/59.13 | Equations (615) can reduce 52 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1462) yields:
% 110.25/59.13 | (1463) all_0_33_33 = e0
% 110.25/59.13 | (1252) all_0_39_39 = e1
% 110.25/59.13 | (421) ~ (all_0_34_34 = e1)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (701,1252) yields a new equation:
% 110.25/59.13 | (1113) e3 = e1
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 1113 yields:
% 110.25/59.13 | (928) e3 = e1
% 110.25/59.13 |
% 110.25/59.13 | Equations (928) can reduce 298 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.13 |-Branch two:
% 110.25/59.13 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Applying alpha-rule on (1469) yields:
% 110.25/59.13 | (1463) all_0_33_33 = e0
% 110.25/59.13 | (1252) all_0_39_39 = e1
% 110.25/59.13 | (540) ~ (all_0_38_38 = e0)
% 110.25/59.13 |
% 110.25/59.13 | Combining equations (701,1252) yields a new equation:
% 110.25/59.13 | (1113) e3 = e1
% 110.25/59.13 |
% 110.25/59.13 | Simplifying 1113 yields:
% 110.25/59.13 | (928) e3 = e1
% 110.25/59.13 |
% 110.25/59.13 | Equations (928) can reduce 298 to:
% 110.25/59.13 | (400) $false
% 110.25/59.13 |
% 110.25/59.13 |-The branch is then unsatisfiable
% 110.25/59.14 |-Branch two:
% 110.25/59.14 | (29702) ~ (all_0_20_20 = e4)
% 110.25/59.14 | (29703) all_0_21_21 = e4 | all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 110.25/59.14 |
% 110.25/59.14 +-Applying beta-rule and splitting (29703), into two cases.
% 110.25/59.14 |-Branch one:
% 110.25/59.14 | (550) all_0_21_21 = e4
% 110.25/59.14 |
% 110.25/59.14 | Equations (550) can reduce 462 to:
% 110.25/59.14 | (400) $false
% 110.25/59.14 |
% 110.25/59.14 |-The branch is then unsatisfiable
% 110.25/59.14 |-Branch two:
% 110.25/59.14 | (462) ~ (all_0_21_21 = e4)
% 110.25/59.14 | (29707) all_0_22_22 = e4 | all_0_23_23 = e4 | all_0_24_24 = e4
% 110.25/59.14 |
% 110.25/59.14 +-Applying beta-rule and splitting (29707), into two cases.
% 110.25/59.14 |-Branch one:
% 110.25/59.14 | (797) all_0_22_22 = e4
% 110.25/59.14 |
% 110.25/59.14 | Combining equations (797,442) yields a new equation:
% 110.25/59.14 | (1531) e4 = e2
% 110.25/59.14 |
% 110.25/59.14 | Simplifying 1531 yields:
% 110.25/59.14 | (798) e4 = e2
% 110.25/59.14 |
% 110.25/59.14 | Equations (798) can reduce 21 to:
% 110.25/59.14 | (400) $false
% 110.25/59.14 |
% 110.25/59.14 |-The branch is then unsatisfiable
% 110.25/59.14 |-Branch two:
% 110.25/59.14 | (800) ~ (all_0_22_22 = e4)
% 110.25/59.14 | (29713) all_0_23_23 = e4 | all_0_24_24 = e4
% 110.25/59.14 |
% 110.25/59.14 +-Applying beta-rule and splitting (29713), into two cases.
% 110.25/59.14 |-Branch one:
% 110.25/59.14 | (1022) all_0_23_23 = e4
% 110.25/59.14 |
% 110.25/59.14 | Combining equations (427,1022) yields a new equation:
% 110.25/59.14 | (838) e4 = e1
% 110.25/59.14 |
% 110.25/59.14 | Equations (838) can reduce 56 to:
% 110.25/59.14 | (400) $false
% 110.25/59.14 |
% 110.25/59.14 |-The branch is then unsatisfiable
% 110.25/59.14 |-Branch two:
% 110.25/59.14 | (1025) ~ (all_0_23_23 = e4)
% 110.25/59.14 | (2956) all_0_24_24 = e4
% 110.25/59.14 |
% 110.25/59.14 | Combining equations (488,2956) yields a new equation:
% 110.25/59.14 | (515) e4 = e0
% 110.25/59.14 |
% 110.25/59.14 | Equations (515) can reduce 267 to:
% 110.25/59.14 | (400) $false
% 110.25/59.14 |
% 110.25/59.14 |-The branch is then unsatisfiable
% 110.25/59.14 |-Branch two:
% 110.25/59.14 | (29721) ~ (unit = e3)
% 110.25/59.15 | (29722) unit = e2 | unit = e1 | unit = e0
% 110.25/59.15 |
% 110.25/59.15 +-Applying beta-rule and splitting (29722), into two cases.
% 110.25/59.15 |-Branch one:
% 110.25/59.15 | (29723) unit = e2
% 110.25/59.15 |
% 110.25/59.15 | Equations (29723) can reduce 398 to:
% 110.25/59.15 | (400) $false
% 110.25/59.15 |
% 110.25/59.15 |-The branch is then unsatisfiable
% 110.25/59.15 |-Branch two:
% 110.25/59.15 | (398) ~ (unit = e2)
% 110.25/59.15 | (29726) unit = e1 | unit = e0
% 110.25/59.15 |
% 110.25/59.15 +-Applying beta-rule and splitting (29726), into two cases.
% 110.25/59.15 |-Branch one:
% 110.25/59.15 | (29727) unit = e1
% 110.25/59.15 |
% 110.25/59.15 | Equations (29727) can reduce 393 to:
% 110.25/59.15 | (400) $false
% 110.25/59.15 |
% 110.25/59.15 |-The branch is then unsatisfiable
% 110.25/59.15 |-Branch two:
% 110.25/59.15 | (393) ~ (unit = e1)
% 110.25/59.15 | (29730) unit = e0
% 110.25/59.15 |
% 110.25/59.15 | Equations (29730) can reduce 391 to:
% 110.25/59.15 | (400) $false
% 110.25/59.15 |
% 110.25/59.15 |-The branch is then unsatisfiable
% 110.25/59.16 |-Branch two:
% 110.25/59.16 | (29732) op(e0, e2) = e0
% 110.25/59.16 | (1136) all_0_37_37 = e0
% 110.25/59.16 |
% 110.25/59.16 | Equations (1136) can reduce 11 to:
% 110.25/59.16 | (4277) ~ (all_0_22_22 = e0)
% 110.25/59.16 |
% 110.25/59.16 | Equations (1136) can reduce 309 to:
% 110.25/59.16 | (536) ~ (all_0_35_35 = e0)
% 110.25/59.16 |
% 110.25/59.16 | Equations (1136) can reduce 136 to:
% 110.25/59.16 | (1388) ~ (all_0_36_36 = e0)
% 110.25/59.16 |
% 110.25/59.16 | Equations (1136) can reduce 97 to:
% 110.25/59.16 | (539) ~ (all_0_38_38 = e0)
% 110.25/59.16 |
% 110.25/59.16 | Simplifying 539 yields:
% 110.25/59.16 | (540) ~ (all_0_38_38 = e0)
% 110.25/59.16 |
% 110.25/59.16 +-Applying beta-rule and splitting (377), into two cases.
% 110.25/59.16 |-Branch one:
% 110.25/59.16 | (29739) ~ (op(e1, e2) = e1)
% 110.25/59.16 |
% 110.25/59.16 | Using (75) and (29739) yields:
% 110.25/59.16 | (398) ~ (unit = e2)
% 110.25/59.16 |
% 110.25/59.16 +-Applying beta-rule and splitting (308), into two cases.
% 110.25/59.16 |-Branch one:
% 110.25/59.16 | (399) unit = e4
% 110.25/59.16 |
% 110.25/59.16 | Equations (399) can reduce 395 to:
% 110.25/59.16 | (400) $false
% 110.25/59.16 |
% 110.25/59.16 |-The branch is then unsatisfiable
% 110.25/59.16 |-Branch two:
% 110.25/59.16 | (395) ~ (unit = e4)
% 110.25/59.16 | (402) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 110.25/59.16 |
% 110.25/59.16 +-Applying beta-rule and splitting (402), into two cases.
% 110.25/59.16 |-Branch one:
% 110.25/59.16 | (403) unit = e3
% 110.25/59.16 |
% 110.25/59.16 | From (403) and (78) follows:
% 110.25/59.16 | (549) op(e0, e3) = e0
% 110.25/59.16 |
% 110.25/59.16 +-Applying beta-rule and splitting (384), into two cases.
% 110.25/59.16 |-Branch one:
% 110.25/59.16 | (567) ~ (op(e0, e3) = e0)
% 110.25/59.16 |
% 110.25/59.16 | Using (549) and (567) yields:
% 110.25/59.16 | (412) $false
% 110.25/59.16 |
% 110.25/59.16 |-The branch is then unsatisfiable
% 110.25/59.16 |-Branch two:
% 110.25/59.16 | (549) op(e0, e3) = e0
% 110.25/59.16 | (534) all_0_36_36 = e0
% 110.25/59.16 |
% 110.25/59.16 | Equations (534) can reduce 1388 to:
% 110.25/59.16 | (400) $false
% 110.25/59.16 |
% 110.25/59.16 |-The branch is then unsatisfiable
% 110.25/59.16 |-Branch two:
% 110.25/59.16 | (29721) ~ (unit = e3)
% 110.25/59.16 | (29722) unit = e2 | unit = e1 | unit = e0
% 110.25/59.16 |
% 110.25/59.16 +-Applying beta-rule and splitting (29722), into two cases.
% 110.25/59.16 |-Branch one:
% 110.25/59.16 | (29723) unit = e2
% 110.25/59.16 |
% 110.25/59.16 | Equations (29723) can reduce 398 to:
% 110.25/59.16 | (400) $false
% 110.25/59.16 |
% 110.25/59.16 |-The branch is then unsatisfiable
% 110.25/59.16 |-Branch two:
% 110.25/59.16 | (398) ~ (unit = e2)
% 110.25/59.16 | (29726) unit = e1 | unit = e0
% 110.25/59.16 |
% 110.25/59.17 +-Applying beta-rule and splitting (29726), into two cases.
% 110.25/59.17 |-Branch one:
% 110.25/59.17 | (29727) unit = e1
% 110.25/59.17 |
% 110.25/59.17 | Equations (29727) can reduce 393 to:
% 110.25/59.17 | (400) $false
% 110.25/59.17 |
% 110.25/59.17 |-The branch is then unsatisfiable
% 110.25/59.17 |-Branch two:
% 110.25/59.17 | (393) ~ (unit = e1)
% 110.25/59.17 | (29730) unit = e0
% 110.25/59.17 |
% 110.25/59.17 | Equations (29730) can reduce 391 to:
% 110.25/59.17 | (400) $false
% 110.25/59.17 |
% 110.25/59.17 |-The branch is then unsatisfiable
% 110.25/59.17 |-Branch two:
% 110.25/59.17 | (29763) op(e1, e2) = e1
% 110.25/59.17 | (1108) all_0_32_32 = e1
% 110.25/59.17 |
% 110.25/59.17 | Equations (1108) can reduce 242 to:
% 110.25/59.17 | (817) ~ (all_0_17_17 = e1)
% 110.25/59.17 |
% 110.25/59.17 | Equations (1108) can reduce 138 to:
% 110.25/59.17 | (1098) ~ (all_0_22_22 = e1)
% 110.25/59.17 |
% 110.25/59.17 | Equations (1108) can reduce 301 to:
% 110.25/59.17 | (417) ~ (all_0_30_30 = e1)
% 110.25/59.17 |
% 110.25/59.17 | Equations (1108) can reduce 208 to:
% 110.25/59.17 | (1370) ~ (all_0_31_31 = e1)
% 110.25/59.17 |
% 110.25/59.17 | Equations (1108) can reduce 132 to:
% 110.25/59.17 | (420) ~ (all_0_34_34 = e1)
% 110.25/59.17 |
% 110.25/59.17 | Simplifying 420 yields:
% 110.25/59.17 | (421) ~ (all_0_34_34 = e1)
% 110.25/59.17 |
% 110.25/59.17 +-Applying beta-rule and splitting (354), into two cases.
% 110.25/59.17 |-Branch one:
% 110.25/59.17 | (563) ~ (op(e3, e4) = e4)
% 110.25/59.17 |
% 110.25/59.17 | Using (60) and (563) yields:
% 110.25/59.17 | (29721) ~ (unit = e3)
% 110.25/59.17 |
% 110.25/59.17 +-Applying beta-rule and splitting (308), into two cases.
% 110.25/59.17 |-Branch one:
% 110.25/59.17 | (399) unit = e4
% 110.25/59.17 |
% 110.25/59.17 | Equations (399) can reduce 395 to:
% 110.25/59.17 | (400) $false
% 110.25/59.17 |
% 110.25/59.17 |-The branch is then unsatisfiable
% 110.25/59.17 |-Branch two:
% 110.25/59.17 | (395) ~ (unit = e4)
% 110.25/59.17 | (402) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 110.25/59.17 |
% 110.25/59.17 +-Applying beta-rule and splitting (402), into two cases.
% 110.25/59.17 |-Branch one:
% 110.25/59.17 | (403) unit = e3
% 110.25/59.17 |
% 110.25/59.18 | Equations (403) can reduce 29721 to:
% 110.25/59.18 | (400) $false
% 110.25/59.18 |
% 110.25/59.18 |-The branch is then unsatisfiable
% 110.25/59.18 |-Branch two:
% 110.25/59.18 | (29721) ~ (unit = e3)
% 110.25/59.18 | (29722) unit = e2 | unit = e1 | unit = e0
% 110.25/59.18 |
% 110.25/59.18 +-Applying beta-rule and splitting (29722), into two cases.
% 110.25/59.18 |-Branch one:
% 110.25/59.18 | (29723) unit = e2
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (60) follows:
% 110.25/59.18 | (29782) op(e2, e4) = e4
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (151) follows:
% 110.25/59.18 | (29783) op(e2, e3) = e3
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (171) follows:
% 110.25/59.18 | (29784) op(e2, e1) = e1
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (157) follows:
% 110.25/59.18 | (29785) op(e2, e0) = e0
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (4) follows:
% 110.25/59.18 | (29786) op(e4, e2) = e4
% 110.25/59.18 |
% 110.25/59.18 | From (29723) and (218) follows:
% 110.25/59.19 | (29787) op(e3, e2) = e3
% 110.25/59.19 |
% 110.25/59.19 | From (29723) and (25) follows:
% 110.25/59.19 | (29788) op(e2, e2) = e2
% 110.25/59.19 |
% 110.25/59.19 +-Applying beta-rule and splitting (358), into two cases.
% 110.25/59.19 |-Branch one:
% 110.25/59.19 | (29789) ~ (op(e3, e2) = e3)
% 110.25/59.19 |
% 110.25/59.19 | Using (29787) and (29789) yields:
% 110.25/59.19 | (412) $false
% 110.25/59.19 |
% 110.25/59.19 |-The branch is then unsatisfiable
% 110.25/59.19 |-Branch two:
% 110.25/59.19 | (29787) op(e3, e2) = e3
% 110.25/59.19 | (921) all_0_22_22 = e3
% 110.25/59.19 |
% 110.25/59.19 | Equations (921) can reduce 239 to:
% 110.25/59.19 | (1306) ~ (all_0_20_20 = e3)
% 110.25/59.19 |
% 110.25/59.19 | Equations (921) can reduce 235 to:
% 110.25/59.19 | (29794) ~ (all_0_23_23 = e3)
% 110.25/59.19 |
% 110.25/59.19 | Simplifying 29794 yields:
% 110.25/59.19 | (1361) ~ (all_0_23_23 = e3)
% 110.25/59.19 |
% 110.25/59.19 | Equations (921) can reduce 28 to:
% 110.25/59.19 | (29796) ~ (all_0_24_24 = e3)
% 110.25/59.19 |
% 110.25/59.19 | Simplifying 29796 yields:
% 110.25/59.19 | (1379) ~ (all_0_24_24 = e3)
% 110.25/59.19 |
% 110.25/59.19 +-Applying beta-rule and splitting (363), into two cases.
% 110.25/59.19 |-Branch one:
% 110.25/59.19 | (29798) ~ (op(e2, e4) = e4)
% 110.25/59.19 |
% 110.25/59.19 | Using (29782) and (29798) yields:
% 110.25/59.19 | (412) $false
% 110.25/59.19 |
% 110.25/59.19 |-The branch is then unsatisfiable
% 110.25/59.19 |-Branch two:
% 110.25/59.19 | (29782) op(e2, e4) = e4
% 110.25/59.19 | (590) all_0_25_25 = e4
% 110.25/59.19 |
% 110.25/59.19 | Equations (590) can reduce 216 to:
% 110.25/59.20 | (29702) ~ (all_0_20_20 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (590) can reduce 68 to:
% 110.25/59.20 | (463) ~ (all_0_26_26 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 463 yields:
% 110.25/59.20 | (464) ~ (all_0_26_26 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (590) can reduce 7 to:
% 110.25/59.20 | (4420) ~ (all_0_29_29 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 4420 yields:
% 110.25/59.20 | (603) ~ (all_0_29_29 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (590) can reduce 62 to:
% 110.25/59.20 | (506) ~ (all_0_30_30 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 506 yields:
% 110.25/59.20 | (507) ~ (all_0_30_30 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (590) can reduce 194 to:
% 110.25/59.20 | (508) ~ (all_0_35_35 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 508 yields:
% 110.25/59.20 | (509) ~ (all_0_35_35 = e4)
% 110.25/59.20 |
% 110.25/59.20 +-Applying beta-rule and splitting (368), into two cases.
% 110.25/59.20 |-Branch one:
% 110.25/59.20 | (29811) ~ (op(e2, e1) = e1)
% 110.25/59.20 |
% 110.25/59.20 | Using (29784) and (29811) yields:
% 110.25/59.20 | (412) $false
% 110.25/59.20 |
% 110.25/59.20 |-The branch is then unsatisfiable
% 110.25/59.20 |-Branch two:
% 110.25/59.20 | (29784) op(e2, e1) = e1
% 110.25/59.20 | (1122) all_0_28_28 = e1
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 302 to:
% 110.25/59.20 | (428) ~ (all_0_18_18 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 257 to:
% 110.25/59.20 | (29816) ~ (all_0_23_23 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 106 to:
% 110.25/59.20 | (416) ~ (all_0_26_26 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 337 to:
% 110.25/59.20 | (857) ~ (all_0_27_27 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 47 to:
% 110.25/59.20 | (5048) ~ (all_0_29_29 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 5048 yields:
% 110.25/59.20 | (2946) ~ (all_0_29_29 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 230 to:
% 110.25/59.20 | (435) ~ (all_0_33_33 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 435 yields:
% 110.25/59.20 | (436) ~ (all_0_33_33 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Equations (1122) can reduce 207 to:
% 110.25/59.20 | (437) ~ (all_0_38_38 = e1)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 437 yields:
% 110.25/59.20 | (438) ~ (all_0_38_38 = e1)
% 110.25/59.20 |
% 110.25/59.20 +-Applying beta-rule and splitting (349), into two cases.
% 110.25/59.20 |-Branch one:
% 110.25/59.20 | (29825) ~ (op(e4, e2) = e4)
% 110.25/59.20 |
% 110.25/59.20 | Using (29786) and (29825) yields:
% 110.25/59.20 | (412) $false
% 110.25/59.20 |
% 110.25/59.20 |-The branch is then unsatisfiable
% 110.25/59.20 |-Branch two:
% 110.25/59.20 | (29786) op(e4, e2) = e4
% 110.25/59.20 | (793) all_0_17_17 = e4
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 344 to:
% 110.25/59.20 | (501) ~ (all_0_15_15 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 205 to:
% 110.25/59.20 | (1299) ~ (all_0_16_16 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 9 to:
% 110.25/59.20 | (457) ~ (all_0_18_18 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 457 yields:
% 110.25/59.20 | (458) ~ (all_0_18_18 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 131 to:
% 110.25/59.20 | (459) ~ (all_0_19_19 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 459 yields:
% 110.25/59.20 | (460) ~ (all_0_19_19 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 226 to:
% 110.25/59.20 | (29835) ~ (all_0_27_27 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Simplifying 29835 yields:
% 110.25/59.20 | (785) ~ (all_0_27_27 = e4)
% 110.25/59.20 |
% 110.25/59.20 | Equations (793) can reduce 817 to:
% 110.25/59.20 | (56) ~ (e4 = e1)
% 110.25/59.20 |
% 110.25/59.20 +-Applying beta-rule and splitting (175), into two cases.
% 110.25/59.20 |-Branch one:
% 110.25/59.20 | (804) all_0_27_27 = e4
% 110.25/59.20 |
% 110.25/59.20 | Equations (804) can reduce 785 to:
% 110.25/59.20 | (400) $false
% 110.25/59.20 |
% 110.25/59.20 |-The branch is then unsatisfiable
% 110.25/59.20 |-Branch two:
% 110.25/59.20 | (785) ~ (all_0_27_27 = e4)
% 110.25/59.20 | (807) all_0_27_27 = e3 | all_0_27_27 = e2 | all_0_27_27 = e1 | all_0_27_27 = e0
% 110.25/59.20 |
% 110.25/59.20 +-Applying beta-rule and splitting (370), into two cases.
% 110.25/59.20 |-Branch one:
% 110.25/59.20 | (29842) ~ (op(e2, e0) = e0)
% 110.25/59.20 |
% 110.25/59.21 | Using (29785) and (29842) yields:
% 110.25/59.21 | (412) $false
% 110.25/59.21 |
% 110.25/59.21 |-The branch is then unsatisfiable
% 110.25/59.21 |-Branch two:
% 110.25/59.21 | (29785) op(e2, e0) = e0
% 110.25/59.21 | (5206) all_0_29_29 = e0
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 174 to:
% 110.25/59.21 | (489) ~ (all_0_19_19 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 329 to:
% 110.25/59.21 | (29847) ~ (all_0_24_24 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 243 to:
% 110.25/59.21 | (527) ~ (all_0_26_26 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 53 to:
% 110.25/59.21 | (660) ~ (all_0_27_27 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 84 to:
% 110.25/59.21 | (494) ~ (all_0_34_34 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Simplifying 494 yields:
% 110.25/59.21 | (495) ~ (all_0_34_34 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 291 to:
% 110.25/59.21 | (541) ~ (all_0_39_39 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Simplifying 541 yields:
% 110.25/59.21 | (542) ~ (all_0_39_39 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 603 to:
% 110.25/59.21 | (543) ~ (e4 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Simplifying 543 yields:
% 110.25/59.21 | (267) ~ (e4 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Equations (5206) can reduce 2946 to:
% 110.25/59.21 | (498) ~ (e1 = e0)
% 110.25/59.21 |
% 110.25/59.21 | Simplifying 498 yields:
% 110.25/59.21 | (40) ~ (e1 = e0)
% 110.25/59.21 |
% 110.25/59.21 +-Applying beta-rule and splitting (367), into two cases.
% 110.25/59.21 |-Branch one:
% 110.25/59.21 | (29858) ~ (op(e2, e2) = e2)
% 110.25/59.21 |
% 110.25/59.21 | Using (29788) and (29858) yields:
% 110.25/59.21 | (412) $false
% 110.25/59.21 |
% 110.25/59.21 |-The branch is then unsatisfiable
% 110.25/59.21 |-Branch two:
% 110.25/59.21 | (29788) op(e2, e2) = e2
% 110.25/59.21 | (812) all_0_27_27 = e2
% 110.25/59.21 |
% 110.25/59.21 | Equations (812) can reduce 265 to:
% 110.33/59.21 | (1355) ~ (all_0_26_26 = e2)
% 110.33/59.21 |
% 110.33/59.21 | Equations (812) can reduce 785 to:
% 110.33/59.21 | (482) ~ (e4 = e2)
% 110.33/59.21 |
% 110.33/59.21 | Simplifying 482 yields:
% 110.33/59.21 | (21) ~ (e4 = e2)
% 110.33/59.21 |
% 110.33/59.21 | Equations (812) can reduce 857 to:
% 110.33/59.21 | (310) ~ (e2 = e1)
% 110.33/59.21 |
% 110.33/59.21 | Equations (812) can reduce 660 to:
% 110.33/59.21 | (336) ~ (e2 = e0)
% 110.33/59.21 |
% 110.33/59.21 +-Applying beta-rule and splitting (365), into two cases.
% 110.33/59.21 |-Branch one:
% 110.33/59.21 | (29867) ~ (op(e2, e3) = e3)
% 110.33/59.21 |
% 110.33/59.21 | Using (29783) and (29867) yields:
% 110.33/59.21 | (412) $false
% 110.33/59.21 |
% 110.33/59.21 |-The branch is then unsatisfiable
% 110.33/59.21 |-Branch two:
% 110.33/59.21 | (29783) op(e2, e3) = e3
% 110.33/59.21 | (3007) all_0_26_26 = e3
% 110.33/59.21 |
% 110.33/59.21 | Equations (3007) can reduce 79 to:
% 110.33/59.21 | (3121) ~ (all_0_16_16 = e3)
% 110.33/59.21 |
% 110.33/59.21 | Equations (3007) can reduce 192 to:
% 110.33/59.21 | (29872) ~ (all_0_21_21 = e3)
% 110.33/59.21 |
% 110.33/59.21 | Equations (3007) can reduce 45 to:
% 110.33/59.22 | (29873) ~ (all_0_31_31 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 29873 yields:
% 110.33/59.22 | (6728) ~ (all_0_31_31 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Equations (3007) can reduce 135 to:
% 110.33/59.22 | (29875) ~ (all_0_36_36 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 29875 yields:
% 110.33/59.22 | (4540) ~ (all_0_36_36 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Equations (3007) can reduce 464 to:
% 110.33/59.22 | (558) ~ (e4 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 558 yields:
% 110.33/59.22 | (255) ~ (e4 = e3)
% 110.33/59.22 |
% 110.33/59.22 | Equations (3007) can reduce 1355 to:
% 110.33/59.22 | (52) ~ (e3 = e2)
% 110.33/59.22 |
% 110.33/59.22 | Equations (3007) can reduce 416 to:
% 110.33/59.22 | (298) ~ (e3 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (3007) can reduce 527 to:
% 110.33/59.22 | (80) ~ (e3 = e0)
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (180), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (1250) ~ (all_0_39_39 = e2)
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (280), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (671) ~ (all_0_33_33 = e2)
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (87), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (472) ~ (all_0_21_21 = e2)
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (124), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (769) ~ (all_0_15_15 = e2)
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (158), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (6706) all_0_15_15 = e4
% 110.33/59.22 |
% 110.33/59.22 | Equations (6706) can reduce 501 to:
% 110.33/59.22 | (400) $false
% 110.33/59.22 |
% 110.33/59.22 |-The branch is then unsatisfiable
% 110.33/59.22 |-Branch two:
% 110.33/59.22 | (501) ~ (all_0_15_15 = e4)
% 110.33/59.22 | (6709) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.33/59.22 |
% 110.33/59.22 +-Applying beta-rule and splitting (227), into two cases.
% 110.33/59.22 |-Branch one:
% 110.33/59.22 | (1490) all_0_20_20 = e1
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 270 to:
% 110.33/59.22 | (679) ~ (all_0_15_15 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 30 to:
% 110.33/59.22 | (29892) ~ (all_0_21_21 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 29892 yields:
% 110.33/59.22 | (430) ~ (all_0_21_21 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 341 to:
% 110.33/59.22 | (29894) ~ (all_0_23_23 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 29894 yields:
% 110.33/59.22 | (29816) ~ (all_0_23_23 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 283 to:
% 110.33/59.22 | (431) ~ (all_0_24_24 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 431 yields:
% 110.33/59.22 | (432) ~ (all_0_24_24 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 156 to:
% 110.33/59.22 | (17107) ~ (all_0_30_30 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 17107 yields:
% 110.33/59.22 | (417) ~ (all_0_30_30 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 98 to:
% 110.33/59.22 | (3855) ~ (all_0_35_35 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Simplifying 3855 yields:
% 110.33/59.22 | (1138) ~ (all_0_35_35 = e1)
% 110.33/59.22 |
% 110.33/59.22 | Equations (1490) can reduce 29702 to:
% 110.33/59.22 | (764) ~ (e4 = e1)
% 110.33/59.23 |
% 110.33/59.23 | Simplifying 764 yields:
% 110.33/59.23 | (56) ~ (e4 = e1)
% 110.33/59.23 |
% 110.33/59.23 | Equations (1490) can reduce 1306 to:
% 110.33/59.23 | (824) ~ (e3 = e1)
% 110.33/59.23 |
% 110.33/59.23 | Simplifying 824 yields:
% 110.33/59.23 | (298) ~ (e3 = e1)
% 110.33/59.23 |
% 110.33/59.23 | From (1490) and (191) follows:
% 110.33/59.23 | (29906) op(e3, e4) = e1
% 110.33/59.23 |
% 110.33/59.23 +-Applying beta-rule and splitting (13), into two cases.
% 110.33/59.23 |-Branch one:
% 110.33/59.23 | (550) all_0_21_21 = e4
% 110.33/59.23 |
% 110.33/59.23 | Equations (550) can reduce 215 to:
% 110.33/59.23 | (1299) ~ (all_0_16_16 = e4)
% 110.33/59.23 |
% 110.33/59.23 | Equations (550) can reduce 14 to:
% 110.33/59.23 | (29909) ~ (all_0_24_24 = e4)
% 110.33/59.23 |
% 110.33/59.23 | Simplifying 29909 yields:
% 110.33/59.23 | (2960) ~ (all_0_24_24 = e4)
% 110.33/59.23 |
% 110.33/59.23 | Equations (550) can reduce 133 to:
% 110.33/59.23 | (465) ~ (all_0_36_36 = e4)
% 110.33/59.23 |
% 110.33/59.23 | Simplifying 465 yields:
% 110.33/59.23 | (466) ~ (all_0_36_36 = e4)
% 110.33/59.23 |
% 110.33/59.23 +-Applying beta-rule and splitting (196), into two cases.
% 110.33/59.23 |-Branch one:
% 110.33/59.23 | (2956) all_0_24_24 = e4
% 110.33/59.23 |
% 110.33/59.23 | Equations (2956) can reduce 2960 to:
% 110.33/59.23 | (400) $false
% 110.33/59.23 |
% 110.33/59.23 |-The branch is then unsatisfiable
% 110.33/59.23 |-Branch two:
% 110.33/59.23 | (2960) ~ (all_0_24_24 = e4)
% 110.33/59.23 | (29916) all_0_24_24 = e3 | all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 110.33/59.23 |
% 110.33/59.23 +-Applying beta-rule and splitting (189), into two cases.
% 110.33/59.23 |-Branch one:
% 110.33/59.23 | (742) all_0_20_20 = e0
% 110.33/59.23 |
% 110.33/59.23 | Combining equations (742,1490) yields a new equation:
% 110.33/59.23 | (531) e1 = e0
% 110.33/59.23 |
% 110.33/59.23 | Equations (531) can reduce 40 to:
% 110.33/59.23 | (400) $false
% 110.33/59.23 |
% 110.33/59.23 |-The branch is then unsatisfiable
% 110.33/59.23 |-Branch two:
% 110.33/59.23 | (490) ~ (all_0_20_20 = e0)
% 110.33/59.23 | (29921) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 110.33/59.23 |
% 110.33/59.23 +-Applying beta-rule and splitting (29916), into two cases.
% 110.33/59.23 |-Branch one:
% 110.33/59.23 | (4773) all_0_24_24 = e3
% 110.33/59.23 |
% 110.33/59.23 | Equations (4773) can reduce 1379 to:
% 110.33/59.23 | (400) $false
% 110.33/59.23 |
% 110.33/59.23 |-The branch is then unsatisfiable
% 110.33/59.23 |-Branch two:
% 110.33/59.23 | (1379) ~ (all_0_24_24 = e3)
% 110.33/59.23 | (29925) all_0_24_24 = e2 | all_0_24_24 = e1 | all_0_24_24 = e0
% 110.33/59.23 |
% 110.33/59.23 +-Applying beta-rule and splitting (29925), into two cases.
% 110.33/59.23 |-Branch one:
% 110.33/59.23 | (7046) all_0_24_24 = e2
% 110.33/59.23 |
% 110.33/59.23 | Equations (7046) can reduce 238 to:
% 110.33/59.23 | (6271) ~ (all_0_23_23 = e2)
% 110.33/59.23 |
% 110.33/59.23 | Equations (7046) can reduce 299 to:
% 110.33/59.23 | (11182) ~ (all_0_34_34 = e2)
% 110.33/59.23 |
% 110.33/59.23 | Simplifying 11182 yields:
% 110.33/59.23 | (4340) ~ (all_0_34_34 = e2)
% 110.33/59.23 |
% 110.33/59.23 | Equations (7046) can reduce 432 to:
% 110.33/59.23 | (310) ~ (e2 = e1)
% 110.33/59.23 |
% 110.33/59.23 | Equations (7046) can reduce 29847 to:
% 110.33/59.23 | (336) ~ (e2 = e0)
% 110.33/59.23 |
% 110.33/59.24 +-Applying beta-rule and splitting (29921), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (519) all_0_21_21 = e0
% 110.33/59.24 |
% 110.33/59.24 | Combining equations (519,550) yields a new equation:
% 110.33/59.24 | (515) e4 = e0
% 110.33/59.24 |
% 110.33/59.24 | Equations (515) can reduce 267 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (491) ~ (all_0_21_21 = e0)
% 110.33/59.24 | (29936) all_0_22_22 = e0 | all_0_23_23 = e0 | all_0_24_24 = e0
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (29936), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (4273) all_0_22_22 = e0
% 110.33/59.24 |
% 110.33/59.24 | Combining equations (4273,921) yields a new equation:
% 110.33/59.24 | (648) e3 = e0
% 110.33/59.24 |
% 110.33/59.24 | Equations (648) can reduce 80 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (4277) ~ (all_0_22_22 = e0)
% 110.33/59.24 | (29941) all_0_23_23 = e0 | all_0_24_24 = e0
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (29941), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (4698) all_0_23_23 = e0
% 110.33/59.24 |
% 110.33/59.24 | Equations (4698) can reduce 100 to:
% 110.33/59.24 | (1141) ~ (all_0_18_18 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Equations (4698) can reduce 222 to:
% 110.33/59.24 | (9509) ~ (all_0_33_33 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Simplifying 9509 yields:
% 110.33/59.24 | (2612) ~ (all_0_33_33 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Equations (4698) can reduce 32 to:
% 110.33/59.24 | (539) ~ (all_0_38_38 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Simplifying 539 yields:
% 110.33/59.24 | (540) ~ (all_0_38_38 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Equations (4698) can reduce 6271 to:
% 110.33/59.24 | (496) ~ (e2 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Simplifying 496 yields:
% 110.33/59.24 | (336) ~ (e2 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Equations (4698) can reduce 29816 to:
% 110.33/59.24 | (498) ~ (e1 = e0)
% 110.33/59.24 |
% 110.33/59.24 | Simplifying 498 yields:
% 110.33/59.24 | (40) ~ (e1 = e0)
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (140), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.24 |
% 110.33/59.24 | Equations (550) can reduce 462 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (550) all_0_21_21 = e4
% 110.33/59.24 | (29955) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (245), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.24 |
% 110.33/59.24 | Equations (550) can reduce 462 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (550) all_0_21_21 = e4
% 110.33/59.24 | (29959) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (181), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.24 |
% 110.33/59.24 | Equations (550) can reduce 462 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (550) all_0_21_21 = e4
% 110.33/59.24 | (29963) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e0)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e2))
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (96), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.24 |
% 110.33/59.24 | Equations (550) can reduce 462 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (550) all_0_21_21 = e4
% 110.33/59.24 | (29967) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e0) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e1))
% 110.33/59.24 |
% 110.33/59.24 +-Applying beta-rule and splitting (186), into two cases.
% 110.33/59.24 |-Branch one:
% 110.33/59.24 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.24 |
% 110.33/59.24 | Equations (550) can reduce 462 to:
% 110.33/59.24 | (400) $false
% 110.33/59.24 |
% 110.33/59.24 |-The branch is then unsatisfiable
% 110.33/59.24 |-Branch two:
% 110.33/59.24 | (550) all_0_21_21 = e4
% 110.33/59.24 | (29971) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e2) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e1)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (111), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (462) ~ (all_0_21_21 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (550) can reduce 462 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (550) all_0_21_21 = e4
% 110.33/59.25 | (29975) (all_0_10_10 = all_0_20_20 & ~ (all_0_9_9 = e1) & op(all_0_20_20, e3) = all_0_9_9) | (all_0_10_10 = all_0_20_20 & ~ (all_0_20_20 = e2)) | (all_0_11_11 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (264), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (574) ~ (all_0_33_33 = e3)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (129), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (1322) all_0_33_33 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 33 to:
% 110.33/59.25 | (458) ~ (all_0_18_18 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 150 to:
% 110.33/59.25 | (507) ~ (all_0_30_30 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 187 to:
% 110.33/59.25 | (2559) ~ (all_0_31_31 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 155 to:
% 110.33/59.25 | (2566) ~ (all_0_34_34 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 2566 yields:
% 110.33/59.25 | (2554) ~ (all_0_34_34 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 199 to:
% 110.33/59.25 | (1834) ~ (all_0_38_38 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 1834 yields:
% 110.33/59.25 | (1835) ~ (all_0_38_38 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 436 to:
% 110.33/59.25 | (56) ~ (e4 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (1322) can reduce 2612 to:
% 110.33/59.25 | (267) ~ (e4 = e0)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (263), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (601) all_0_34_34 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (601) can reduce 2554 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (2554) ~ (all_0_34_34 = e4)
% 110.33/59.25 | (2555) all_0_34_34 = e3 | all_0_34_34 = e2 | all_0_34_34 = e1 | all_0_34_34 = e0
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (2555), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (2571) all_0_34_34 = e3
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 295 to:
% 110.33/59.25 | (1150) ~ (all_0_19_19 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 202 to:
% 110.33/59.25 | (1800) ~ (all_0_30_30 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 321 to:
% 110.33/59.25 | (6728) ~ (all_0_31_31 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 85 to:
% 110.33/59.25 | (10723) ~ (all_0_39_39 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 10723 yields:
% 110.33/59.25 | (571) ~ (all_0_39_39 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 421 to:
% 110.33/59.25 | (298) ~ (e3 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (2571) can reduce 495 to:
% 110.33/59.25 | (80) ~ (e3 = e0)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (248), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (724) all_0_35_35 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (724) can reduce 509 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (509) ~ (all_0_35_35 = e4)
% 110.33/59.25 | (1091) all_0_36_36 = e4 | all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (1091), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (2975) all_0_36_36 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (2975) can reduce 466 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (466) ~ (all_0_36_36 = e4)
% 110.33/59.25 | (2979) all_0_37_37 = e4 | all_0_38_38 = e4 | all_0_39_39 = e4
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (2979), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (847) all_0_37_37 = e4
% 110.33/59.25 |
% 110.33/59.25 | Combining equations (847,1136) yields a new equation:
% 110.33/59.25 | (743) e4 = e0
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 743 yields:
% 110.33/59.25 | (515) e4 = e0
% 110.33/59.25 |
% 110.33/59.25 | Equations (515) can reduce 267 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (1002) ~ (all_0_37_37 = e4)
% 110.33/59.25 | (2983) all_0_38_38 = e4 | all_0_39_39 = e4
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (2983), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (1846) all_0_38_38 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (1846) can reduce 1835 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (1835) ~ (all_0_38_38 = e4)
% 110.33/59.25 | (697) all_0_39_39 = e4
% 110.33/59.25 |
% 110.33/59.25 | Equations (697) can reduce 94 to:
% 110.33/59.25 | (460) ~ (all_0_19_19 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (697) can reduce 571 to:
% 110.33/59.25 | (255) ~ (e4 = e3)
% 110.33/59.25 |
% 110.33/59.25 | Equations (697) can reduce 542 to:
% 110.33/59.25 | (267) ~ (e4 = e0)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (148), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (761) all_0_35_35 = e1
% 110.33/59.25 |
% 110.33/59.25 | Equations (761) can reduce 1138 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (1138) ~ (all_0_35_35 = e1)
% 110.33/59.25 | (4931) all_0_36_36 = e1 | all_0_37_37 = e1 | all_0_38_38 = e1 | all_0_39_39 = e1
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (262), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (829) all_0_19_19 = e1
% 110.33/59.25 |
% 110.33/59.25 | Equations (829) can reduce 319 to:
% 110.33/59.25 | (679) ~ (all_0_15_15 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (829) can reduce 279 to:
% 110.33/59.25 | (415) ~ (all_0_16_16 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (829) can reduce 172 to:
% 110.33/59.25 | (428) ~ (all_0_18_18 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (829) can reduce 460 to:
% 110.33/59.25 | (764) ~ (e4 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 764 yields:
% 110.33/59.25 | (56) ~ (e4 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (829) can reduce 1150 to:
% 110.33/59.25 | (824) ~ (e3 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 824 yields:
% 110.33/59.25 | (298) ~ (e3 = e1)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (137), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (974) all_0_16_16 = e1
% 110.33/59.25 |
% 110.33/59.25 | Equations (974) can reduce 415 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (415) ~ (all_0_16_16 = e1)
% 110.33/59.25 | (30035) all_0_21_21 = e1 | all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (30035), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (1359) all_0_21_21 = e1
% 110.33/59.25 |
% 110.33/59.25 | Combining equations (1359,550) yields a new equation:
% 110.33/59.25 | (838) e4 = e1
% 110.33/59.25 |
% 110.33/59.25 | Equations (838) can reduce 56 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (430) ~ (all_0_21_21 = e1)
% 110.33/59.25 | (30040) all_0_26_26 = e1 | all_0_31_31 = e1 | all_0_36_36 = e1
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (4931), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (4950) all_0_36_36 = e1
% 110.33/59.25 |
% 110.33/59.25 | Equations (4950) can reduce 228 to:
% 110.33/59.25 | (415) ~ (all_0_16_16 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (4950) can reduce 74 to:
% 110.33/59.25 | (1370) ~ (all_0_31_31 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (4950) can reduce 4540 to:
% 110.33/59.25 | (824) ~ (e3 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Simplifying 824 yields:
% 110.33/59.25 | (298) ~ (e3 = e1)
% 110.33/59.25 |
% 110.33/59.25 | Equations (4950) can reduce 1388 to:
% 110.33/59.25 | (40) ~ (e1 = e0)
% 110.33/59.25 |
% 110.33/59.25 +-Applying beta-rule and splitting (12), into two cases.
% 110.33/59.25 |-Branch one:
% 110.33/59.25 | (607) ~ (all_0_39_39 = e4)
% 110.33/59.25 |
% 110.33/59.25 | Equations (697) can reduce 607 to:
% 110.33/59.25 | (400) $false
% 110.33/59.25 |
% 110.33/59.25 |-The branch is then unsatisfiable
% 110.33/59.25 |-Branch two:
% 110.33/59.25 | (697) all_0_39_39 = e4
% 110.33/59.26 | (5186) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e2)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (31), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (607) ~ (all_0_39_39 = e4)
% 110.33/59.26 |
% 110.33/59.26 | Equations (697) can reduce 607 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (697) all_0_39_39 = e4
% 110.33/59.26 | (4764) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e3))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (161), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (594) ~ (all_0_33_33 = e4)
% 110.33/59.26 |
% 110.33/59.26 | Equations (1322) can reduce 594 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (1322) all_0_33_33 = e4
% 110.33/59.26 | (4466) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e0) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e3)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e2))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (166), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (607) ~ (all_0_39_39 = e4)
% 110.33/59.26 |
% 110.33/59.26 | Equations (697) can reduce 607 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (697) all_0_39_39 = e4
% 110.33/59.26 | (16181) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e3) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e1)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e2))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (343), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (607) ~ (all_0_39_39 = e4)
% 110.33/59.26 |
% 110.33/59.26 | Equations (697) can reduce 607 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (697) all_0_39_39 = e4
% 110.33/59.26 | (4454) (all_0_1_1 = all_0_35_35 & ~ (all_0_0_0 = e2) & op(all_0_35_35, e0) = all_0_0_0) | (all_0_1_1 = all_0_35_35 & ~ (all_0_35_35 = e3)) | (all_0_2_2 = all_0_19_19 & ~ (all_0_19_19 = e1))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (149), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (594) ~ (all_0_33_33 = e4)
% 110.33/59.26 |
% 110.33/59.26 | Equations (1322) can reduce 594 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (1322) all_0_33_33 = e4
% 110.33/59.26 | (4470) (all_0_4_4 = all_0_30_30 & ~ (all_0_3_3 = e2) & op(all_0_30_30, e1) = all_0_3_3) | (all_0_4_4 = all_0_30_30 & ~ (all_0_30_30 = e0)) | (all_0_5_5 = all_0_18_18 & ~ (all_0_18_18 = e3))
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (304), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (646) all_0_30_30 = e0
% 110.33/59.26 |
% 110.33/59.26 | Equations (646) can reduce 3 to:
% 110.33/59.26 | (739) ~ (all_0_15_15 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (646) can reduce 507 to:
% 110.33/59.26 | (543) ~ (e4 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 543 yields:
% 110.33/59.26 | (267) ~ (e4 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (646) can reduce 417 to:
% 110.33/59.26 | (498) ~ (e1 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 498 yields:
% 110.33/59.26 | (40) ~ (e1 = e0)
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (92), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (736) all_0_15_15 = e0
% 110.33/59.26 |
% 110.33/59.26 | Equations (736) can reduce 739 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (739) ~ (all_0_15_15 = e0)
% 110.33/59.26 | (1207) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (26), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (514) all_0_16_16 = e0
% 110.33/59.26 |
% 110.33/59.26 | Equations (514) can reduce 162 to:
% 110.33/59.26 | (739) ~ (all_0_15_15 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (514) can reduce 46 to:
% 110.33/59.26 | (10459) ~ (all_0_18_18 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 10459 yields:
% 110.33/59.26 | (1141) ~ (all_0_18_18 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (514) can reduce 10 to:
% 110.33/59.26 | (30085) ~ (all_0_31_31 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 30085 yields:
% 110.33/59.26 | (533) ~ (all_0_31_31 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (514) can reduce 3121 to:
% 110.33/59.26 | (665) ~ (e3 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 665 yields:
% 110.33/59.26 | (80) ~ (e3 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Equations (514) can reduce 415 to:
% 110.33/59.26 | (498) ~ (e1 = e0)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 498 yields:
% 110.33/59.26 | (40) ~ (e1 = e0)
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (339), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (2556) all_0_31_31 = e4
% 110.33/59.26 |
% 110.33/59.26 | Equations (2556) can reduce 2559 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (2559) ~ (all_0_31_31 = e4)
% 110.33/59.26 | (30094) all_0_31_31 = e3 | all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (30094), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (6724) all_0_31_31 = e3
% 110.33/59.26 |
% 110.33/59.26 | Equations (6724) can reduce 6728 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (6728) ~ (all_0_31_31 = e3)
% 110.33/59.26 | (30098) all_0_31_31 = e2 | all_0_31_31 = e1 | all_0_31_31 = e0
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (179), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (711) all_0_15_15 = e2
% 110.33/59.26 |
% 110.33/59.26 | Equations (711) can reduce 769 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (769) ~ (all_0_15_15 = e2)
% 110.33/59.26 | (1529) all_0_20_20 = e2 | all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (30098), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (619) all_0_31_31 = e2
% 110.33/59.26 |
% 110.33/59.26 | Equations (619) can reduce 2559 to:
% 110.33/59.26 | (482) ~ (e4 = e2)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 482 yields:
% 110.33/59.26 | (21) ~ (e4 = e2)
% 110.33/59.26 |
% 110.33/59.26 | Equations (619) can reduce 6728 to:
% 110.33/59.26 | (643) ~ (e3 = e2)
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 643 yields:
% 110.33/59.26 | (52) ~ (e3 = e2)
% 110.33/59.26 |
% 110.33/59.26 | Equations (619) can reduce 1370 to:
% 110.33/59.26 | (310) ~ (e2 = e1)
% 110.33/59.26 |
% 110.33/59.26 | Equations (619) can reduce 533 to:
% 110.33/59.26 | (336) ~ (e2 = e0)
% 110.33/59.26 |
% 110.33/59.26 +-Applying beta-rule and splitting (1529), into two cases.
% 110.33/59.26 |-Branch one:
% 110.33/59.26 | (1530) all_0_20_20 = e2
% 110.33/59.26 |
% 110.33/59.26 | Combining equations (1530,1490) yields a new equation:
% 110.33/59.26 | (620) e2 = e1
% 110.33/59.26 |
% 110.33/59.26 | Simplifying 620 yields:
% 110.33/59.26 | (621) e2 = e1
% 110.33/59.26 |
% 110.33/59.26 | Equations (621) can reduce 310 to:
% 110.33/59.26 | (400) $false
% 110.33/59.26 |
% 110.33/59.26 |-The branch is then unsatisfiable
% 110.33/59.26 |-Branch two:
% 110.33/59.26 | (444) ~ (all_0_20_20 = e2)
% 110.33/59.26 | (1535) all_0_25_25 = e2 | all_0_30_30 = e2 | all_0_35_35 = e2
% 110.33/59.26 |
% 110.33/59.27 | Equations (1490) can reduce 444 to:
% 110.33/59.27 | (766) ~ (e2 = e1)
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 766 yields:
% 110.33/59.27 | (310) ~ (e2 = e1)
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (160), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (711) all_0_15_15 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (711) can reduce 769 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (769) ~ (all_0_15_15 = e2)
% 110.33/59.27 | (1235) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (1235), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (1236) all_0_16_16 = e2
% 110.33/59.27 |
% 110.33/59.27 | Combining equations (1236,514) yields a new equation:
% 110.33/59.27 | (524) e2 = e0
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 524 yields:
% 110.33/59.27 | (525) e2 = e0
% 110.33/59.27 |
% 110.33/59.27 | Equations (525) can reduce 336 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (1239) ~ (all_0_16_16 = e2)
% 110.33/59.27 | (1240) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (514) can reduce 1239 to:
% 110.33/59.27 | (496) ~ (e2 = e0)
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 496 yields:
% 110.33/59.27 | (336) ~ (e2 = e0)
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (1240), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (1177) all_0_17_17 = e2
% 110.33/59.27 |
% 110.33/59.27 | Combining equations (793,1177) yields a new equation:
% 110.33/59.27 | (1531) e4 = e2
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 1531 yields:
% 110.33/59.27 | (798) e4 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (798) can reduce 21 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (396) ~ (all_0_17_17 = e2)
% 110.33/59.27 | (1244) all_0_18_18 = e2 | all_0_19_19 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (793) can reduce 396 to:
% 110.33/59.27 | (21) ~ (e4 = e2)
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (1535), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (1536) all_0_25_25 = e2
% 110.33/59.27 |
% 110.33/59.27 | Combining equations (1536,590) yields a new equation:
% 110.33/59.27 | (798) e4 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (798) can reduce 21 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (473) ~ (all_0_25_25 = e2)
% 110.33/59.27 | (1539) all_0_30_30 = e2 | all_0_35_35 = e2
% 110.33/59.27 |
% 110.33/59.27 | Equations (590) can reduce 473 to:
% 110.33/59.27 | (21) ~ (e4 = e2)
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (6709), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (1297) all_0_15_15 = e3
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 39 to:
% 110.33/59.27 | (584) ~ (all_0_35_35 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 584 yields:
% 110.33/59.27 | (585) ~ (all_0_35_35 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 501 to:
% 110.33/59.27 | (558) ~ (e4 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 558 yields:
% 110.33/59.27 | (255) ~ (e4 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 679 to:
% 110.33/59.27 | (298) ~ (e3 = e1)
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 739 to:
% 110.33/59.27 | (80) ~ (e3 = e0)
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (254), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (728) all_0_35_35 = e3
% 110.33/59.27 |
% 110.33/59.27 | Equations (728) can reduce 585 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (585) ~ (all_0_35_35 = e3)
% 110.33/59.27 | (4535) all_0_36_36 = e3 | all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (342), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (1008) all_0_18_18 = e4
% 110.33/59.27 |
% 110.33/59.27 | Equations (1008) can reduce 458 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (458) ~ (all_0_18_18 = e4)
% 110.33/59.27 | (1146) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (103), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (572) ~ (all_0_15_15 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 572 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (1297) all_0_15_15 = e3
% 110.33/59.27 | (24062) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (27), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (572) ~ (all_0_15_15 = e3)
% 110.33/59.27 |
% 110.33/59.27 | Equations (1297) can reduce 572 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (1297) all_0_15_15 = e3
% 110.33/59.27 | (24078) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)) | (all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1))
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (4535), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (4536) all_0_36_36 = e3
% 110.33/59.27 |
% 110.33/59.27 | Combining equations (4536,4950) yields a new equation:
% 110.33/59.27 | (1113) e3 = e1
% 110.33/59.27 |
% 110.33/59.27 | Simplifying 1113 yields:
% 110.33/59.27 | (928) e3 = e1
% 110.33/59.27 |
% 110.33/59.27 | Equations (928) can reduce 298 to:
% 110.33/59.27 | (400) $false
% 110.33/59.27 |
% 110.33/59.27 |-The branch is then unsatisfiable
% 110.33/59.27 |-Branch two:
% 110.33/59.27 | (4540) ~ (all_0_36_36 = e3)
% 110.33/59.27 | (4541) all_0_37_37 = e3 | all_0_38_38 = e3 | all_0_39_39 = e3
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (24062), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (30172) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2))
% 110.33/59.27 |
% 110.33/59.27 +-Applying beta-rule and splitting (30172), into two cases.
% 110.33/59.27 |-Branch one:
% 110.33/59.27 | (30173) all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e0) & op(all_0_16_16, e4) = all_0_12_12
% 110.33/59.27 |
% 110.33/59.27 | Applying alpha-rule on (30173) yields:
% 110.33/59.27 | (30174) all_0_13_13 = all_0_16_16
% 110.33/59.27 | (1566) ~ (all_0_12_12 = e0)
% 110.33/59.28 | (30176) op(all_0_16_16, e4) = all_0_12_12
% 110.33/59.28 |
% 110.33/59.28 | Combining equations (514,30174) yields a new equation:
% 110.33/59.28 | (1777) all_0_13_13 = e0
% 110.33/59.28 |
% 110.33/59.28 +-Applying beta-rule and splitting (4541), into two cases.
% 110.33/59.28 |-Branch one:
% 110.33/59.28 | (936) all_0_37_37 = e3
% 110.33/59.28 |
% 110.33/59.28 | Combining equations (1136,936) yields a new equation:
% 110.33/59.28 | (648) e3 = e0
% 110.33/59.28 |
% 110.33/59.28 | Equations (648) can reduce 80 to:
% 110.33/59.28 | (400) $false
% 110.33/59.28 |
% 110.33/59.28 |-The branch is then unsatisfiable
% 110.33/59.28 |-Branch two:
% 110.33/59.28 | (1127) ~ (all_0_37_37 = e3)
% 110.33/59.28 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 110.33/59.28 |
% 110.33/59.28 +-Applying beta-rule and splitting (4729), into two cases.
% 110.33/59.28 |-Branch one:
% 110.33/59.28 | (3208) all_0_38_38 = e3
% 110.33/59.28 |
% 110.33/59.28 | Equations (3208) can reduce 38 to:
% 110.33/59.28 | (1189) ~ (all_0_18_18 = e3)
% 110.33/59.28 |
% 110.33/59.28 +-Applying beta-rule and splitting (54), into two cases.
% 110.33/59.28 |-Branch one:
% 110.33/59.28 | (1191) all_0_18_18 = e2
% 110.33/59.28 |
% 110.33/59.28 | Equations (1191) can reduce 458 to:
% 110.33/59.28 | (482) ~ (e4 = e2)
% 110.33/59.28 |
% 110.33/59.28 | Simplifying 482 yields:
% 110.33/59.28 | (21) ~ (e4 = e2)
% 110.33/59.28 |
% 110.33/59.28 | Equations (1191) can reduce 1189 to:
% 110.33/59.28 | (643) ~ (e3 = e2)
% 110.33/59.28 |
% 110.33/59.28 | Simplifying 643 yields:
% 110.33/59.28 | (52) ~ (e3 = e2)
% 110.33/59.28 |
% 110.33/59.28 | Equations (1191) can reduce 428 to:
% 110.33/59.28 | (310) ~ (e2 = e1)
% 110.33/59.28 |
% 110.33/59.28 | Equations (1191) can reduce 1141 to:
% 110.33/59.28 | (336) ~ (e2 = e0)
% 110.33/59.28 |
% 110.33/59.28 +-Applying beta-rule and splitting (121), into two cases.
% 110.33/59.28 |-Branch one:
% 110.33/59.28 | (732) all_0_35_35 = e2
% 110.33/59.28 |
% 110.33/59.28 | From (732) and (89) follows:
% 110.33/59.28 | (1764) op(e0, e4) = e2
% 110.33/59.28 |
% 110.33/59.28 +-Applying beta-rule and splitting (24078), into two cases.
% 110.33/59.28 |-Branch one:
% 110.48/59.28 | (30194) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 110.48/59.28 |
% 110.48/59.28 +-Applying beta-rule and splitting (30194), into two cases.
% 110.48/59.28 |-Branch one:
% 110.48/59.28 | (30195) all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12
% 110.48/59.28 |
% 110.48/59.28 | Applying alpha-rule on (30195) yields:
% 110.48/59.28 | (30174) all_0_13_13 = all_0_16_16
% 110.48/59.28 | (1785) ~ (all_0_12_12 = e2)
% 110.48/59.28 | (30176) op(all_0_16_16, e4) = all_0_12_12
% 110.48/59.28 |
% 110.48/59.28 | Combining equations (30174,1777) yields a new equation:
% 110.48/59.29 | (30199) all_0_16_16 = e0
% 110.48/59.29 |
% 110.48/59.29 | Simplifying 30199 yields:
% 110.48/59.29 | (514) all_0_16_16 = e0
% 110.48/59.29 |
% 110.48/59.29 | From (514) and (30176) follows:
% 110.48/59.29 | (1789) op(e0, e4) = all_0_12_12
% 110.48/59.29 |
% 110.48/59.29 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 110.48/59.29 | (1790) all_0_12_12 = e2
% 110.48/59.29 |
% 110.48/59.29 | Equations (1790) can reduce 1785 to:
% 110.48/59.29 | (400) $false
% 110.48/59.29 |
% 110.48/59.29 |-The branch is then unsatisfiable
% 110.48/59.29 |-Branch two:
% 110.48/59.29 | (30204) all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)
% 110.48/59.29 |
% 110.48/59.29 | Applying alpha-rule on (30204) yields:
% 110.48/59.29 | (30174) all_0_13_13 = all_0_16_16
% 110.48/59.29 | (517) ~ (all_0_16_16 = e0)
% 110.48/59.29 |
% 110.48/59.29 | Combining equations (30174,1777) yields a new equation:
% 110.48/59.29 | (30199) all_0_16_16 = e0
% 110.48/59.29 |
% 110.48/59.29 | Simplifying 30199 yields:
% 110.48/59.29 | (514) all_0_16_16 = e0
% 110.48/59.29 |
% 110.48/59.29 | Equations (514) can reduce 517 to:
% 110.48/59.29 | (400) $false
% 110.48/59.29 |
% 110.48/59.29 |-The branch is then unsatisfiable
% 110.48/59.29 |-Branch two:
% 110.48/59.29 | (30210) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 110.48/59.29 |
% 110.48/59.29 | Applying alpha-rule on (30210) yields:
% 110.48/59.30 | (30211) all_0_14_14 = all_0_20_20
% 110.48/59.30 | (429) ~ (all_0_20_20 = e1)
% 110.48/59.30 |
% 110.48/59.30 | Equations (1490) can reduce 429 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (719) ~ (all_0_35_35 = e2)
% 110.48/59.30 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (1477), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (1478) all_0_36_36 = e2
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (4950,1478) yields a new equation:
% 110.48/59.30 | (621) e2 = e1
% 110.48/59.30 |
% 110.48/59.30 | Equations (621) can reduce 310 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (481) ~ (all_0_36_36 = e2)
% 110.48/59.30 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (1482), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (1129) all_0_37_37 = e2
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (1129,1136) yields a new equation:
% 110.48/59.30 | (524) e2 = e0
% 110.48/59.30 |
% 110.48/59.30 | Simplifying 524 yields:
% 110.48/59.30 | (525) e2 = e0
% 110.48/59.30 |
% 110.48/59.30 | Equations (525) can reduce 336 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (450) ~ (all_0_37_37 = e2)
% 110.48/59.30 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (4528), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (3218) all_0_38_38 = e2
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (3218,3208) yields a new equation:
% 110.48/59.30 | (615) e3 = e2
% 110.48/59.30 |
% 110.48/59.30 | Equations (615) can reduce 52 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (2728) ~ (all_0_38_38 = e2)
% 110.48/59.30 | (705) all_0_39_39 = e2
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (697,705) yields a new equation:
% 110.48/59.30 | (1531) e4 = e2
% 110.48/59.30 |
% 110.48/59.30 | Simplifying 1531 yields:
% 110.48/59.30 | (798) e4 = e2
% 110.48/59.30 |
% 110.48/59.30 | Equations (798) can reduce 21 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (638) ~ (all_0_18_18 = e2)
% 110.48/59.30 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (1244), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (1191) all_0_18_18 = e2
% 110.48/59.30 |
% 110.48/59.30 | Equations (1191) can reduce 638 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (638) ~ (all_0_18_18 = e2)
% 110.48/59.30 | (1163) all_0_19_19 = e2
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (1163,829) yields a new equation:
% 110.48/59.30 | (620) e2 = e1
% 110.48/59.30 |
% 110.48/59.30 | Simplifying 620 yields:
% 110.48/59.30 | (621) e2 = e1
% 110.48/59.30 |
% 110.48/59.30 | Equations (621) can reduce 310 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (3095) ~ (all_0_38_38 = e3)
% 110.48/59.30 | (701) all_0_39_39 = e3
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (701,697) yields a new equation:
% 110.48/59.30 | (597) e4 = e3
% 110.48/59.30 |
% 110.48/59.30 | Equations (597) can reduce 255 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (30248) all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Applying alpha-rule on (30248) yields:
% 110.48/59.30 | (30174) all_0_13_13 = all_0_16_16
% 110.48/59.30 | (1239) ~ (all_0_16_16 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (514,30174) yields a new equation:
% 110.48/59.30 | (1777) all_0_13_13 = e0
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (4541), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (936) all_0_37_37 = e3
% 110.48/59.30 |
% 110.48/59.30 | Combining equations (1136,936) yields a new equation:
% 110.48/59.30 | (648) e3 = e0
% 110.48/59.30 |
% 110.48/59.30 | Equations (648) can reduce 80 to:
% 110.48/59.30 | (400) $false
% 110.48/59.30 |
% 110.48/59.30 |-The branch is then unsatisfiable
% 110.48/59.30 |-Branch two:
% 110.48/59.30 | (1127) ~ (all_0_37_37 = e3)
% 110.48/59.30 | (4729) all_0_38_38 = e3 | all_0_39_39 = e3
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (4729), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (3208) all_0_38_38 = e3
% 110.48/59.30 |
% 110.48/59.30 | Equations (3208) can reduce 38 to:
% 110.48/59.30 | (1189) ~ (all_0_18_18 = e3)
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (54), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (1191) all_0_18_18 = e2
% 110.48/59.30 |
% 110.48/59.30 | Equations (1191) can reduce 458 to:
% 110.48/59.30 | (482) ~ (e4 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Simplifying 482 yields:
% 110.48/59.30 | (21) ~ (e4 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Equations (1191) can reduce 1189 to:
% 110.48/59.30 | (643) ~ (e3 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Simplifying 643 yields:
% 110.48/59.30 | (52) ~ (e3 = e2)
% 110.48/59.30 |
% 110.48/59.30 | Equations (1191) can reduce 428 to:
% 110.48/59.30 | (310) ~ (e2 = e1)
% 110.48/59.30 |
% 110.48/59.30 | Equations (1191) can reduce 1141 to:
% 110.48/59.30 | (336) ~ (e2 = e0)
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (121), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.30 | (732) all_0_35_35 = e2
% 110.48/59.30 |
% 110.48/59.30 | From (732) and (89) follows:
% 110.48/59.30 | (1764) op(e0, e4) = e2
% 110.48/59.30 |
% 110.48/59.30 +-Applying beta-rule and splitting (24078), into two cases.
% 110.48/59.30 |-Branch one:
% 110.48/59.31 | (30194) (all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12) | (all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0))
% 110.48/59.31 |
% 110.48/59.31 +-Applying beta-rule and splitting (30194), into two cases.
% 110.48/59.31 |-Branch one:
% 110.48/59.31 | (30195) all_0_13_13 = all_0_16_16 & ~ (all_0_12_12 = e2) & op(all_0_16_16, e4) = all_0_12_12
% 110.48/59.31 |
% 110.48/59.31 | Applying alpha-rule on (30195) yields:
% 110.48/59.31 | (30174) all_0_13_13 = all_0_16_16
% 110.48/59.31 | (1785) ~ (all_0_12_12 = e2)
% 110.48/59.31 | (30176) op(all_0_16_16, e4) = all_0_12_12
% 110.48/59.31 |
% 110.48/59.31 | Combining equations (30174,1777) yields a new equation:
% 110.48/59.31 | (30199) all_0_16_16 = e0
% 110.48/59.31 |
% 110.48/59.31 | Simplifying 30199 yields:
% 110.48/59.31 | (514) all_0_16_16 = e0
% 110.48/59.31 |
% 110.48/59.31 | From (514) and (30176) follows:
% 110.48/59.31 | (1789) op(e0, e4) = all_0_12_12
% 110.48/59.31 |
% 110.48/59.31 | Instantiating formula (29) with e0, e4, e2, all_0_12_12 and discharging atoms op(e0, e4) = all_0_12_12, op(e0, e4) = e2, yields:
% 110.48/59.31 | (1790) all_0_12_12 = e2
% 110.48/59.31 |
% 110.48/59.31 | Equations (1790) can reduce 1785 to:
% 110.48/59.31 | (400) $false
% 110.48/59.31 |
% 110.48/59.31 |-The branch is then unsatisfiable
% 110.48/59.31 |-Branch two:
% 110.48/59.31 | (30204) all_0_13_13 = all_0_16_16 & ~ (all_0_16_16 = e0)
% 110.48/59.31 |
% 110.48/59.31 | Applying alpha-rule on (30204) yields:
% 110.48/59.32 | (30174) all_0_13_13 = all_0_16_16
% 110.48/59.32 | (517) ~ (all_0_16_16 = e0)
% 110.48/59.32 |
% 110.48/59.32 | Combining equations (30174,1777) yields a new equation:
% 110.48/59.32 | (30199) all_0_16_16 = e0
% 110.48/59.32 |
% 110.48/59.32 | Simplifying 30199 yields:
% 110.48/59.32 | (514) all_0_16_16 = e0
% 110.48/59.32 |
% 110.48/59.32 | Equations (514) can reduce 517 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (30210) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 110.48/59.32 |
% 110.48/59.32 | Applying alpha-rule on (30210) yields:
% 110.48/59.32 | (30211) all_0_14_14 = all_0_20_20
% 110.48/59.32 | (429) ~ (all_0_20_20 = e1)
% 110.48/59.32 |
% 110.48/59.32 | Equations (1490) can reduce 429 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (719) ~ (all_0_35_35 = e2)
% 110.48/59.32 | (1477) all_0_36_36 = e2 | all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.32 |
% 110.48/59.32 +-Applying beta-rule and splitting (1477), into two cases.
% 110.48/59.32 |-Branch one:
% 110.48/59.32 | (1478) all_0_36_36 = e2
% 110.48/59.32 |
% 110.48/59.32 | Combining equations (4950,1478) yields a new equation:
% 110.48/59.32 | (621) e2 = e1
% 110.48/59.32 |
% 110.48/59.32 | Equations (621) can reduce 310 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (481) ~ (all_0_36_36 = e2)
% 110.48/59.32 | (1482) all_0_37_37 = e2 | all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.32 |
% 110.48/59.32 +-Applying beta-rule and splitting (1482), into two cases.
% 110.48/59.32 |-Branch one:
% 110.48/59.32 | (1129) all_0_37_37 = e2
% 110.48/59.32 |
% 110.48/59.32 | Combining equations (1129,1136) yields a new equation:
% 110.48/59.32 | (524) e2 = e0
% 110.48/59.32 |
% 110.48/59.32 | Simplifying 524 yields:
% 110.48/59.32 | (525) e2 = e0
% 110.48/59.32 |
% 110.48/59.32 | Equations (525) can reduce 336 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (450) ~ (all_0_37_37 = e2)
% 110.48/59.32 | (4528) all_0_38_38 = e2 | all_0_39_39 = e2
% 110.48/59.32 |
% 110.48/59.32 +-Applying beta-rule and splitting (4528), into two cases.
% 110.48/59.32 |-Branch one:
% 110.48/59.32 | (3218) all_0_38_38 = e2
% 110.48/59.32 |
% 110.48/59.32 | Combining equations (3218,3208) yields a new equation:
% 110.48/59.32 | (615) e3 = e2
% 110.48/59.32 |
% 110.48/59.32 | Equations (615) can reduce 52 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (2728) ~ (all_0_38_38 = e2)
% 110.48/59.32 | (705) all_0_39_39 = e2
% 110.48/59.32 |
% 110.48/59.32 | Combining equations (697,705) yields a new equation:
% 110.48/59.32 | (1531) e4 = e2
% 110.48/59.32 |
% 110.48/59.32 | Simplifying 1531 yields:
% 110.48/59.32 | (798) e4 = e2
% 110.48/59.32 |
% 110.48/59.32 | Equations (798) can reduce 21 to:
% 110.48/59.32 | (400) $false
% 110.48/59.32 |
% 110.48/59.32 |-The branch is then unsatisfiable
% 110.48/59.32 |-Branch two:
% 110.48/59.32 | (638) ~ (all_0_18_18 = e2)
% 110.48/59.32 | (3929) all_0_23_23 = e2 | all_0_28_28 = e2 | all_0_33_33 = e2 | all_0_38_38 = e2
% 110.48/59.32 |
% 110.48/59.32 +-Applying beta-rule and splitting (1244), into two cases.
% 110.48/59.32 |-Branch one:
% 110.48/59.32 | (1191) all_0_18_18 = e2
% 110.48/59.32 |
% 110.48/59.33 | Equations (1191) can reduce 638 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (638) ~ (all_0_18_18 = e2)
% 110.48/59.33 | (1163) all_0_19_19 = e2
% 110.48/59.33 |
% 110.48/59.33 | Combining equations (1163,829) yields a new equation:
% 110.48/59.33 | (620) e2 = e1
% 110.48/59.33 |
% 110.48/59.33 | Simplifying 620 yields:
% 110.48/59.33 | (621) e2 = e1
% 110.48/59.33 |
% 110.48/59.33 | Equations (621) can reduce 310 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (3095) ~ (all_0_38_38 = e3)
% 110.48/59.33 | (701) all_0_39_39 = e3
% 110.48/59.33 |
% 110.48/59.33 | Combining equations (701,697) yields a new equation:
% 110.48/59.33 | (597) e4 = e3
% 110.48/59.33 |
% 110.48/59.33 | Equations (597) can reduce 255 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (30210) all_0_14_14 = all_0_20_20 & ~ (all_0_20_20 = e1)
% 110.48/59.33 |
% 110.48/59.33 | Applying alpha-rule on (30210) yields:
% 110.48/59.33 | (30211) all_0_14_14 = all_0_20_20
% 110.48/59.33 | (429) ~ (all_0_20_20 = e1)
% 110.48/59.33 |
% 110.48/59.33 | Equations (1490) can reduce 429 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (572) ~ (all_0_15_15 = e3)
% 110.48/59.33 | (9969) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (232), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1297) all_0_15_15 = e3
% 110.48/59.33 |
% 110.48/59.33 | Equations (1297) can reduce 572 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (572) ~ (all_0_15_15 = e3)
% 110.48/59.33 | (6683) all_0_20_20 = e3 | all_0_25_25 = e3 | all_0_30_30 = e3 | all_0_35_35 = e3
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (198), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1297) all_0_15_15 = e3
% 110.48/59.33 |
% 110.48/59.33 | Equations (1297) can reduce 572 to:
% 110.48/59.33 | (400) $false
% 110.48/59.33 |
% 110.48/59.33 |-The branch is then unsatisfiable
% 110.48/59.33 |-Branch two:
% 110.48/59.33 | (572) ~ (all_0_15_15 = e3)
% 110.48/59.33 | (2769) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (251), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1278) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)) | (all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1278), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1279) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1279), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1280) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)) | (all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1280), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1281) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1281), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1282) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)) | (all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1282), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1283) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0))
% 110.48/59.33 |
% 110.48/59.33 +-Applying beta-rule and splitting (1283), into two cases.
% 110.48/59.33 |-Branch one:
% 110.48/59.33 | (1284) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)) | (all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1284), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1285) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1285), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1286) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)) | (all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1286), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1287) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1287), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1288) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)) | (all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1288), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1289) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1289), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1290) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)) | (all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1290), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1291) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1291), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1292) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)) | (all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1292), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1293) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1293), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1294) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)) | (all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1294), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1295) (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)) | (all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3))
% 110.48/59.34 |
% 110.48/59.34 +-Applying beta-rule and splitting (1295), into two cases.
% 110.48/59.34 |-Branch one:
% 110.48/59.34 | (1296) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_16_16 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1296) yields:
% 110.48/59.34 | (1297) all_0_15_15 = e3
% 110.48/59.34 | (550) all_0_21_21 = e4
% 110.48/59.34 | (1299) ~ (all_0_16_16 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Equations (1297) can reduce 572 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1303) all_0_15_15 = e3 & all_0_21_21 = e4 & ~ (all_0_20_20 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1303) yields:
% 110.48/59.34 | (1297) all_0_15_15 = e3
% 110.48/59.34 | (550) all_0_21_21 = e4
% 110.48/59.34 | (1306) ~ (all_0_20_20 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Equations (1297) can reduce 572 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1310) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_17_17 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1310) yields:
% 110.48/59.34 | (711) all_0_15_15 = e2
% 110.48/59.34 | (804) all_0_27_27 = e4
% 110.48/59.34 | (456) ~ (all_0_17_17 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,804) yields a new equation:
% 110.48/59.34 | (798) e4 = e2
% 110.48/59.34 |
% 110.48/59.34 | Equations (798) can reduce 21 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1315) all_0_15_15 = e2 & all_0_27_27 = e4 & ~ (all_0_25_25 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1315) yields:
% 110.48/59.34 | (711) all_0_15_15 = e2
% 110.48/59.34 | (804) all_0_27_27 = e4
% 110.48/59.34 | (473) ~ (all_0_25_25 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,804) yields a new equation:
% 110.48/59.34 | (798) e4 = e2
% 110.48/59.34 |
% 110.48/59.34 | Equations (798) can reduce 21 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1320) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_18_18 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1320) yields:
% 110.48/59.34 | (969) all_0_15_15 = e1
% 110.48/59.34 | (1322) all_0_33_33 = e4
% 110.48/59.34 | (458) ~ (all_0_18_18 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Equations (969) can reduce 679 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1326) all_0_15_15 = e1 & all_0_33_33 = e4 & ~ (all_0_30_30 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1326) yields:
% 110.48/59.34 | (969) all_0_15_15 = e1
% 110.48/59.34 | (1322) all_0_33_33 = e4
% 110.48/59.34 | (417) ~ (all_0_30_30 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Equations (969) can reduce 679 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1332) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_19_19 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1332) yields:
% 110.48/59.34 | (736) all_0_15_15 = e0
% 110.48/59.34 | (697) all_0_39_39 = e4
% 110.48/59.34 | (460) ~ (all_0_19_19 = e4)
% 110.48/59.34 |
% 110.48/59.34 | Equations (736) can reduce 739 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1339) all_0_15_15 = e0 & all_0_39_39 = e4 & ~ (all_0_35_35 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1339) yields:
% 110.48/59.34 | (736) all_0_15_15 = e0
% 110.48/59.34 | (697) all_0_39_39 = e4
% 110.48/59.34 | (536) ~ (all_0_35_35 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Equations (736) can reduce 739 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1346) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_22_22 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1346) yields:
% 110.48/59.34 | (1347) all_0_21_21 = e2
% 110.48/59.34 | (808) all_0_27_27 = e3
% 110.48/59.34 | (925) ~ (all_0_22_22 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,808) yields a new equation:
% 110.48/59.34 | (615) e3 = e2
% 110.48/59.34 |
% 110.48/59.34 | Equations (615) can reduce 52 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1352) all_0_21_21 = e2 & all_0_27_27 = e3 & ~ (all_0_26_26 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1352) yields:
% 110.48/59.34 | (1347) all_0_21_21 = e2
% 110.48/59.34 | (808) all_0_27_27 = e3
% 110.48/59.34 | (1355) ~ (all_0_26_26 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,808) yields a new equation:
% 110.48/59.34 | (615) e3 = e2
% 110.48/59.34 |
% 110.48/59.34 | Equations (615) can reduce 52 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1358) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_23_23 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1358) yields:
% 110.48/59.34 | (1359) all_0_21_21 = e1
% 110.48/59.34 | (1360) all_0_33_33 = e3
% 110.48/59.34 | (1361) ~ (all_0_23_23 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (550,1359) yields a new equation:
% 110.48/59.34 | (975) e4 = e1
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 975 yields:
% 110.48/59.34 | (838) e4 = e1
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (1360,1322) yields a new equation:
% 110.48/59.34 | (597) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (838,597) yields a new equation:
% 110.48/59.34 | (928) e3 = e1
% 110.48/59.34 |
% 110.48/59.34 | Equations (928) can reduce 298 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1367) all_0_21_21 = e1 & all_0_33_33 = e3 & ~ (all_0_31_31 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1367) yields:
% 110.48/59.34 | (1359) all_0_21_21 = e1
% 110.48/59.34 | (1360) all_0_33_33 = e3
% 110.48/59.34 | (1370) ~ (all_0_31_31 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (550,1359) yields a new equation:
% 110.48/59.34 | (975) e4 = e1
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 975 yields:
% 110.48/59.34 | (838) e4 = e1
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (1360,1322) yields a new equation:
% 110.48/59.34 | (597) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (838,597) yields a new equation:
% 110.48/59.34 | (928) e3 = e1
% 110.48/59.34 |
% 110.48/59.34 | Equations (928) can reduce 298 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1376) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_24_24 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1376) yields:
% 110.48/59.34 | (519) all_0_21_21 = e0
% 110.48/59.34 | (701) all_0_39_39 = e3
% 110.48/59.34 | (1379) ~ (all_0_24_24 = e3)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (550,519) yields a new equation:
% 110.48/59.34 | (743) e4 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 743 yields:
% 110.48/59.34 | (515) e4 = e0
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (697,701) yields a new equation:
% 110.48/59.34 | (596) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 596 yields:
% 110.48/59.34 | (597) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (597,515) yields a new equation:
% 110.48/59.34 | (647) e3 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 647 yields:
% 110.48/59.34 | (648) e3 = e0
% 110.48/59.34 |
% 110.48/59.34 | Equations (648) can reduce 80 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1385) all_0_21_21 = e0 & all_0_39_39 = e3 & ~ (all_0_36_36 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1385) yields:
% 110.48/59.34 | (519) all_0_21_21 = e0
% 110.48/59.34 | (701) all_0_39_39 = e3
% 110.48/59.34 | (1388) ~ (all_0_36_36 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (550,519) yields a new equation:
% 110.48/59.34 | (743) e4 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 743 yields:
% 110.48/59.34 | (515) e4 = e0
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (697,701) yields a new equation:
% 110.48/59.34 | (596) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 596 yields:
% 110.48/59.34 | (597) e4 = e3
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (597,515) yields a new equation:
% 110.48/59.34 | (647) e3 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 647 yields:
% 110.48/59.34 | (648) e3 = e0
% 110.48/59.34 |
% 110.48/59.34 | Equations (648) can reduce 80 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1394) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_28_28 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1394) yields:
% 110.48/59.34 | (816) all_0_27_27 = e1
% 110.48/59.34 | (637) all_0_33_33 = e2
% 110.48/59.34 | (477) ~ (all_0_28_28 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,816) yields a new equation:
% 110.48/59.34 | (620) e2 = e1
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 620 yields:
% 110.48/59.34 | (621) e2 = e1
% 110.48/59.34 |
% 110.48/59.34 | Equations (621) can reduce 310 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1421) all_0_27_27 = e1 & all_0_33_33 = e2 & ~ (all_0_32_32 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1421) yields:
% 110.48/59.34 | (816) all_0_27_27 = e1
% 110.48/59.34 | (637) all_0_33_33 = e2
% 110.48/59.34 | (419) ~ (all_0_32_32 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,816) yields a new equation:
% 110.48/59.34 | (620) e2 = e1
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 620 yields:
% 110.48/59.34 | (621) e2 = e1
% 110.48/59.34 |
% 110.48/59.34 | Equations (621) can reduce 310 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1448) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_29_29 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1448) yields:
% 110.48/59.34 | (995) all_0_27_27 = e0
% 110.48/59.34 | (705) all_0_39_39 = e2
% 110.48/59.34 | (479) ~ (all_0_29_29 = e2)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,995) yields a new equation:
% 110.48/59.34 | (524) e2 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 524 yields:
% 110.48/59.34 | (525) e2 = e0
% 110.48/59.34 |
% 110.48/59.34 | Equations (525) can reduce 336 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1455) all_0_27_27 = e0 & all_0_39_39 = e2 & ~ (all_0_37_37 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1455) yields:
% 110.48/59.34 | (995) all_0_27_27 = e0
% 110.48/59.34 | (705) all_0_39_39 = e2
% 110.48/59.34 | (538) ~ (all_0_37_37 = e0)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (812,995) yields a new equation:
% 110.48/59.34 | (524) e2 = e0
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 524 yields:
% 110.48/59.34 | (525) e2 = e0
% 110.48/59.34 |
% 110.48/59.34 | Equations (525) can reduce 336 to:
% 110.48/59.34 | (400) $false
% 110.48/59.34 |
% 110.48/59.34 |-The branch is then unsatisfiable
% 110.48/59.34 |-Branch two:
% 110.48/59.34 | (1462) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_34_34 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Applying alpha-rule on (1462) yields:
% 110.48/59.34 | (1463) all_0_33_33 = e0
% 110.48/59.34 | (1252) all_0_39_39 = e1
% 110.48/59.34 | (421) ~ (all_0_34_34 = e1)
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (1463,1322) yields a new equation:
% 110.48/59.34 | (515) e4 = e0
% 110.48/59.34 |
% 110.48/59.34 | Combining equations (697,1252) yields a new equation:
% 110.48/59.34 | (975) e4 = e1
% 110.48/59.34 |
% 110.48/59.34 | Simplifying 975 yields:
% 110.48/59.34 | (838) e4 = e1
% 110.48/59.34 |
% 110.48/59.35 | Combining equations (838,515) yields a new equation:
% 110.48/59.35 | (530) e1 = e0
% 110.48/59.35 |
% 110.48/59.35 | Simplifying 530 yields:
% 110.48/59.35 | (531) e1 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (531) can reduce 40 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (1469) all_0_33_33 = e0 & all_0_39_39 = e1 & ~ (all_0_38_38 = e0)
% 110.48/59.35 |
% 110.48/59.35 | Applying alpha-rule on (1469) yields:
% 110.48/59.35 | (1463) all_0_33_33 = e0
% 110.48/59.35 | (1252) all_0_39_39 = e1
% 110.48/59.35 | (540) ~ (all_0_38_38 = e0)
% 110.48/59.35 |
% 110.48/59.35 | Combining equations (1463,1322) yields a new equation:
% 110.48/59.35 | (515) e4 = e0
% 110.48/59.35 |
% 110.48/59.35 | Combining equations (697,1252) yields a new equation:
% 110.48/59.35 | (975) e4 = e1
% 110.48/59.35 |
% 110.48/59.35 | Simplifying 975 yields:
% 110.48/59.35 | (838) e4 = e1
% 110.48/59.35 |
% 110.48/59.35 | Combining equations (838,515) yields a new equation:
% 110.48/59.35 | (530) e1 = e0
% 110.48/59.35 |
% 110.48/59.35 | Simplifying 530 yields:
% 110.48/59.35 | (531) e1 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (531) can reduce 40 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (623) ~ (all_0_31_31 = e2)
% 110.48/59.35 | (30497) all_0_31_31 = e1 | all_0_31_31 = e0
% 110.48/59.35 |
% 110.48/59.35 +-Applying beta-rule and splitting (30497), into two cases.
% 110.48/59.35 |-Branch one:
% 110.48/59.35 | (414) all_0_31_31 = e1
% 110.48/59.35 |
% 110.48/59.35 | Equations (414) can reduce 1370 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (1370) ~ (all_0_31_31 = e1)
% 110.48/59.35 | (529) all_0_31_31 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (529) can reduce 533 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (517) ~ (all_0_16_16 = e0)
% 110.48/59.35 | (518) all_0_21_21 = e0 | all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 110.48/59.35 |
% 110.48/59.35 +-Applying beta-rule and splitting (518), into two cases.
% 110.48/59.35 |-Branch one:
% 110.48/59.35 | (519) all_0_21_21 = e0
% 110.48/59.35 |
% 110.48/59.35 | Combining equations (519,550) yields a new equation:
% 110.48/59.35 | (515) e4 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (515) can reduce 267 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (491) ~ (all_0_21_21 = e0)
% 110.48/59.35 | (522) all_0_26_26 = e0 | all_0_31_31 = e0 | all_0_36_36 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (550) can reduce 491 to:
% 110.48/59.35 | (267) ~ (e4 = e0)
% 110.48/59.35 |
% 110.48/59.35 +-Applying beta-rule and splitting (1207), into two cases.
% 110.48/59.35 |-Branch one:
% 110.48/59.35 | (514) all_0_16_16 = e0
% 110.48/59.35 |
% 110.48/59.35 | Equations (514) can reduce 517 to:
% 110.48/59.35 | (400) $false
% 110.48/59.35 |
% 110.48/59.35 |-The branch is then unsatisfiable
% 110.48/59.35 |-Branch two:
% 110.48/59.35 | (517) ~ (all_0_16_16 = e0)
% 110.48/59.35